// (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_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 >() == boost::math::policies::digits >()) { 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 "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::max_exponent > std::numeric_limits::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 "boost::math::gamma_q", 500, 50); // test function add_expected_result( "[^|]*", // compiler "[^|]*", // stdlib "Cygwin", // platform largest_type, // test type(s) "[^|]*large[^|]*", // test data group "boost::math::gamma_p", 700, 50); // test function add_expected_result( "[^|]*", // compiler "[^|]*", // stdlib "[^|]*", // platform largest_type, // test type(s) "[^|]*large[^|]*", // test data group "boost::math::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 << "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::cout; #endif }