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- // (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
- ".*Solaris.*", // platform
- "real_concept", // test type(s)
- "[^|]*medium[^|]*", // test data group
- "[^|]*", 1000, 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
- "gamma_q", 500, 50); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "Cygwin", // platform
- largest_type, // test type(s)
- "[^|]*large[^|]*", // test data group
- "gamma_p", 700, 50); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- largest_type, // test type(s)
- "[^|]*large[^|]*", // test data group
- "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::endl;
- #endif
-
- }
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