123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296 |
- // 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
- */
|