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Diffstat (limited to 'src/boost/libs/math/test/test_gamma.cpp')
-rw-r--r-- | src/boost/libs/math/test/test_gamma.cpp | 340 |
1 files changed, 340 insertions, 0 deletions
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 00000000..8ecfd5c1 --- /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 + +} + + + |