| // (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_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<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 |
| // |
| // 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<long double>::max_exponent > std::numeric_limits<double>::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 << "<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::cout; |
| #endif |
| |
| } |
| |
| |
| |
