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Diffstat (limited to 'src/boost/libs/math/test/test_bessel_y.cpp')
| -rw-r--r-- | src/boost/libs/math/test/test_bessel_y.cpp | 269 |
1 files changed, 269 insertions, 0 deletions
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 +} + + + + |