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Diffstat (limited to 'src/boost/libs/math/test/test_erf.cpp')
| -rw-r--r-- | src/boost/libs/math/test/test_erf.cpp | 296 |
1 files changed, 296 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_erf.cpp b/src/boost/libs/math/test/test_erf.cpp new file mode 100644 index 00000000..8fed443a --- /dev/null +++ b/src/boost/libs/math/test/test_erf.cpp @@ -0,0 +1,296 @@ +// Copyright John Maddock 2006. +// Copyright Paul A. Bristow 2007 +// 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_erf.hpp" + +// +// DESCRIPTION: +// ~~~~~~~~~~~~ +// +// This file tests the functions erf, erfc, and the inverses +// erf_inv and erfc_inv. 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|real_concept"; + } + else + { + largest_type = "long double|real_concept"; + } +#else + largest_type = "(long\\s+)?double"; +#endif + // + // On MacOS X erfc has much higher error levels than + // expected: given that the implementation is basically + // just a rational function evaluation combined with + // exponentiation, we conclude that exp and pow are less + // accurate on this platform, especially when the result + // is outside the range of a double. + // + add_expected_result( + ".*", // compiler + ".*", // stdlib + "Mac OS", // platform + largest_type, // test type(s) + "Erf Function:.*Large.*", // test data group + "erfc", 4300, 1300); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + "Mac OS", // platform + largest_type, // test type(s) + "Erf Function:.*", // test data group + "erfc", 40, 10); // test function + + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Erf Function:.*", // test data group + "erfc?", 20, 6); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + "Inverse Erfc.*", // test data group + "erfc_inv", 80, 10); // test function + + + // + // Catch all cases come last: + // + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + ".*", // test type(s) + "Erf Function:.*", // test data group + "erfc?", 2, 2); // test function + add_expected_result( + ".*aCC.*", // compiler + ".*", // stdlib + ".*", // platform + ".*", // test type(s) + "Inverse Erfc.*", // test data group + "erfc_inv", 80, 10); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + ".*", // test type(s) + "Inverse Erf.*", // test data group + "erfc?_inv", 18, 4); // 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"); +#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582)) + test_spots(boost::math::concepts::real_concept(0.1), "real_concept"); +#endif +#endif + + expected_results(); + + test_erf(0.1F, "float"); + test_erf(0.1, "double"); +#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS + test_erf(0.1L, "long double"); +#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS +#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582)) + test_erf(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 +} + +/* + +Output: + +test_erf.cpp +Compiling manifest to resources... +Linking... +Embedding manifest... +Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_erf.exe" +Running 1 test case... +Testing basic sanity checks for type float +Testing basic sanity checks for type double +Testing basic sanity checks for type long double +Testing basic sanity checks for type real_concept +Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32 +Testing Erf Function: Small Values with type float +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<float> Max = 0 RMS Mean=0 +boost::math::erfc<float> Max = 0 RMS Mean=0 +Testing Erf Function: Medium Values with type float +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<float> Max = 0 RMS Mean=0 +boost::math::erfc<float> Max = 0 RMS Mean=0 +Testing Erf Function: Large Values with type float +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<float> Max = 0 RMS Mean=0 +boost::math::erfc<float> Max = 0 RMS Mean=0 +Testing Inverse Erf Function with type float +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf_inv<float> Max = 0 RMS Mean=0 +Testing Inverse Erfc Function with type float +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erfc_inv<float> Max = 0 RMS Mean=0 +Testing Erf Function: Small Values with type double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<double> Max = 0 RMS Mean=0 +boost::math::erfc<double> Max = 0.7857 RMS Mean=0.06415 + worst case at row: 149 + { 0.3343, 0.3636, 0.6364 } +Testing Erf Function: Medium Values with type double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<double> Max = 0.9219 RMS Mean=0.1016 + worst case at row: 273 + { 0.5252, 0.5424, 0.4576 } +boost::math::erfc<double> Max = 1.08 RMS Mean=0.3224 + worst case at row: 287 + { 0.8461, 0.7685, 0.2315 } +Testing Erf Function: Large Values with type double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<double> Max = 0 RMS Mean=0 +boost::math::erfc<double> Max = 1.048 RMS Mean=0.2032 + worst case at row: 50 + { 20.96, 1, 4.182e-193 } +Testing Inverse Erf Function with type double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf_inv<double> Max = 1.124 RMS Mean=0.5082 + worst case at row: 98 + { 0.9881, 1.779 } +Testing Inverse Erfc Function with type double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erfc_inv<double> Max = 1.124 RMS Mean=0.5006 + worst case at row: 98 + { 1.988, -1.779 } +Testing Erf Function: Small Values with type long double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<long double> Max = 0 RMS Mean=0 +boost::math::erfc<long double> Max = 0.7857 RMS Mean=0.06415 + worst case at row: 149 + { 0.3343, 0.3636, 0.6364 } +Testing Erf Function: Medium Values with type long double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<long double> Max = 0.9219 RMS Mean=0.1016 + worst case at row: 273 + { 0.5252, 0.5424, 0.4576 } +boost::math::erfc<long double> Max = 1.08 RMS Mean=0.3224 + worst case at row: 287 + { 0.8461, 0.7685, 0.2315 } +Testing Erf Function: Large Values with type long double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<long double> Max = 0 RMS Mean=0 +boost::math::erfc<long double> Max = 1.048 RMS Mean=0.2032 + worst case at row: 50 + { 20.96, 1, 4.182e-193 } +Testing Inverse Erf Function with type long double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf_inv<long double> Max = 1.124 RMS Mean=0.5082 + worst case at row: 98 + { 0.9881, 1.779 } +Testing Inverse Erfc Function with type long double +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erfc_inv<long double> Max = 1.124 RMS Mean=0.5006 + worst case at row: 98 + { 1.988, -1.779 } +Testing Erf Function: Small Values with type real_concept +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<real_concept> Max = 1.271 RMS Mean=0.5381 + worst case at row: 144 + { 0.0109, 0.0123, 0.9877 } +boost::math::erfc<real_concept> Max = 0.7857 RMS Mean=0.07777 + worst case at row: 149 + { 0.3343, 0.3636, 0.6364 } +Testing Erf Function: Medium Values with type real_concept +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<real_concept> Max = 22.5 RMS Mean=4.224 + worst case at row: 233 + { -0.7852, -0.7332, 1.733 } +Peak error greater than expected value of 20 +i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed +boost::math::erfc<real_concept> Max = 97.77 RMS Mean=8.373 + worst case at row: 289 + { 0.9849, 0.8363, 0.1637 } +Peak error greater than expected value of 20 +i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(146): error in "test_main_caller( argc, argv )": check bounds.first >= max_error_found failed +Mean error greater than expected value of 6 +i:/boost-sandbox/math_toolkit/libs/math/test/handle_test_result.hpp(151): error in "test_main_caller( argc, argv )": check bounds.second >= mean_error_found failed +Testing Erf Function: Large Values with type real_concept +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf<real_concept> Max = 0 RMS Mean=0 +boost::math::erfc<real_concept> Max = 1.395 RMS Mean=0.2908 + worst case at row: 11 + { 10.99, 1, 1.87e-054 } +Testing Inverse Erf Function with type real_concept +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erf_inv<real_concept> Max = 1.124 RMS Mean=0.5082 + worst case at row: 98 + { 0.9881, 1.779 } +Testing Inverse Erfc Function with type real_concept +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +boost::math::erfc_inv<real_concept> Max = 1.124 RMS Mean=0.5006 + worst case at row: 98 + { 1.988, -1.779 } +Test suite "Test Program" failed with: + 181 assertions out of 184 passed + 3 assertions out of 184 failed + 1 test case out of 1 failed + Test case "test_main_caller( argc, argv )" failed with: + 181 assertions out of 184 passed + 3 assertions out of 184 failed +Build Time 0:15 + +*/ |