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diff --git a/src/boost/libs/math/test/test_bessel_j.cpp b/src/boost/libs/math/test/test_bessel_j.cpp
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+// (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
+}
+
+
+
+
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