// (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 #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 >() == boost::math::policies::digits >()) { 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 << "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." << std::endl; #endif }