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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_inv.hpp"
- #if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
- # define TEST_FLOAT
- # define TEST_DOUBLE
- # define TEST_LDOUBLE
- # define TEST_REAL_CONCEPT
- #endif
- //
- // DESCRIPTION:
- // ~~~~~~~~~~~~
- //
- // This file tests the incomplete gamma function inverses
- // gamma_p_inv and gamma_q_inv. There are three sets of tests:
- // 1) Spot tests which compare our results with selected values
- // computed using the online special function calculator at
- // functions.wolfram.com,
- // 2) Accuracy tests use values generated with NTL::RR at
- // 1000-bit precision and our generic versions of these functions.
- // 3) Round trip sanity checks, use the test data for the forward
- // functions, and verify that we can get (approximately) back
- // where we started.
- //
- // 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
- //
- // 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)
- "[^|]*small[^|]*", // test data group
- "[^|]*", 200000, 10000); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- "real_concept", // test type(s)
- "[^|]*small[^|]*", // test data group
- "[^|]*", 98000, 12000); // test function
- }
- //
- // These high error rates are seen on on some Linux
- // architectures:
- //
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "linux.*", // platform
- largest_type, // test type(s)
- "[^|]*medium[^|]*", // test data group
- "[^|]*", 350, 5); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "linux.*", // platform
- largest_type, // test type(s)
- "[^|]*large[^|]*", // test data group
- "[^|]*", 150, 5); // test function
- //
- // Catch all cases come last:
- //
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- largest_type, // test type(s)
- "[^|]*medium[^|]*", // test data group
- "[^|]*", 20, 5); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- largest_type, // test type(s)
- "[^|]*large[^|]*", // test data group
- "[^|]*", 5, 2); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- largest_type, // test type(s)
- "[^|]*small[^|]*", // test data group
- "[^|]*", 2100, 500); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- "float|double", // test type(s)
- "[^|]*small[^|]*", // test data group
- "gamma_p_inv", 500, 60); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- "float|double", // test type(s)
- "[^|]*", // test data group
- "gamma_q_inv", 350, 60); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- "float|double", // test type(s)
- "[^|]*", // test data group
- "[^|]*", 4, 2); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- "real_concept", // test type(s)
- "[^|]*medium[^|]*", // test data group
- "[^|]*", 20, 5); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- "real_concept", // test type(s)
- "[^|]*large[^|]*", // test data group
- "[^|]*", 1000, 500); // test function
- add_expected_result(
- "[^|]*", // compiler
- "[^|]*", // stdlib
- "[^|]*", // platform
- "real_concept", // test type(s)
- "[^|]*small[^|]*", // test data group
- "[^|]*", 3700, 500); // 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
- #ifdef TEST_FLOAT
- test_spots(0.0F, "float");
- #endif
- #endif
- #ifdef TEST_DOUBLE
- test_spots(0.0, "double");
- #endif
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- #ifdef TEST_LDOUBLE
- test_spots(0.0L, "long double");
- #endif
- #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
- #ifdef TEST_REAL_CONCEPT
- test_spots(boost::math::concepts::real_concept(0.1), "real_concept");
- #endif
- #endif
- #endif
- #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
- #ifdef TEST_FLOAT
- test_gamma(0.1F, "float");
- #endif
- #endif
- #ifdef TEST_DOUBLE
- test_gamma(0.1, "double");
- #endif
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- #ifdef TEST_LDOUBLE
- test_gamma(0.1L, "long double");
- #endif
- #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
- #if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
- #ifdef TEST_REAL_CONCEPT
- test_gamma(boost::math::concepts::real_concept(0.1), "real_concept");
- #endif
- #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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