diff options
Diffstat (limited to 'src/boost/libs/math/test/test_igamma_inv.cpp')
-rw-r--r-- | src/boost/libs/math/test/test_igamma_inv.cpp | 230 |
1 files changed, 230 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_igamma_inv.cpp b/src/boost/libs/math/test/test_igamma_inv.cpp new file mode 100644 index 00000000..56acbcd0 --- /dev/null +++ b/src/boost/libs/math/test/test_igamma_inv.cpp @@ -0,0 +1,230 @@ +// (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 + +} + + + |