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Diffstat (limited to 'src/boost/libs/math/test/test_legendre.cpp')
| -rw-r--r-- | src/boost/libs/math/test/test_legendre.cpp | 231 |
1 files changed, 231 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_legendre.cpp b/src/boost/libs/math/test/test_legendre.cpp new file mode 100644 index 00000000..3a0490d5 --- /dev/null +++ b/src/boost/libs/math/test/test_legendre.cpp @@ -0,0 +1,231 @@ +// (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_legendre.hpp" + +// +// DESCRIPTION: +// ~~~~~~~~~~~~ +// +// This file tests the legendre polynomials. +// 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: + // + if((std::numeric_limits<long double>::digits <= 64) + && (std::numeric_limits<long double>::digits != std::numeric_limits<double>::digits)) + { +#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "double", // test type(s) + ".*", // test data group + ".*", 10, 5); // test function +#endif + } + if(std::numeric_limits<long double>::digits == 64) + { + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_p", 1000, 200); // test function + add_expected_result( + "Intel.*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_q", 10000, 1000); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_q", 7000, 1000); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_p", 1000, 200); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_q", 7000, 1000); // test function + } + // + // Catch all cases come last: + // + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_p", 500, 200); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_q", 5400, 500); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Legendre Polynomials.*", // test data group + "legendre_p", 300, 80); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Legendre Polynomials.*", // test data group + "legendre_q", 100, 50); // test function + add_expected_result( + "Intel.*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Associated Legendre Polynomials.*", // test data group + ".*", 300, 20); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + "Associated Legendre Polynomials.*", // test data group + ".*", 200, 20); // test function + + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_p", 500, 200); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Legendre Polynomials.*Large.*", // test data group + "legendre_q", 5400, 500); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Legendre Polynomials.*", // test data group + "legendre_p", 300, 80); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Legendre Polynomials.*", // test data group + "legendre_q", 100, 50); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Associated Legendre Polynomials.*", // test data group + ".*", 200, 20); // 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 ) +{ + BOOST_MATH_CONTROL_FP; + test_spots(0.0F, "float"); + test_spots(0.0, "double"); +#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS + test_spots(0.0L, "long double"); + test_spots(boost::math::concepts::real_concept(0.1), "real_concept"); +#endif + + expected_results(); + + test_legendre_p(0.1F, "float"); + test_legendre_p(0.1, "double"); +#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS + test_legendre_p(0.1L, "long double"); +#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS + test_legendre_p(boost::math::concepts::real_concept(0.1), "real_concept"); +#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 + + test_legendre_p_prime<float>(); + test_legendre_p_prime<double>(); + test_legendre_p_prime<long double>(); + + int ulp_distance = test_legendre_p_zeros_double_ulp(1, 100); + BOOST_CHECK(ulp_distance <= 2); + test_legendre_p_zeros<float>(); + test_legendre_p_zeros<double>(); + test_legendre_p_zeros<long double>(); +} |