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- // Copyright 2006 John Maddock
- // 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_carlson.hpp"
- //
- // DESCRIPTION:
- // ~~~~~~~~~~~~
- //
- // This file tests the Carlson Elliptic Integrals.
- // There are two sets of tests, spot
- // tests which compare our results with the published test values,
- // in Numerical Computation of Real or Complex Elliptic Integrals,
- // B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
- // However, 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
- //
- // real long doubles:
- //
- if(boost::math::policies::digits<long double, boost::math::policies::policy<> >() > 53)
- {
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- BOOST_PLATFORM, // platform
- largest_type, // test type(s)
- ".*RJ.*", // test data group
- ".*", 1000, 50); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- BOOST_PLATFORM, // platform
- "real_concept", // test type(s)
- ".*RJ.*", // test data group
- ".*", 1000, 50); // test function
- }
- //
- // Catch all cases come last:
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*RJ.*", // test data group
- ".*", 250, 50); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- "real_concept", // test type(s)
- ".*RJ.*", // test data group
- ".*", 250, 50); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*", // test data group
- ".*", 25, 8); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- "real_concept", // test type(s)
- ".*", // test data group
- ".*", 25, 8); // 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;
- boost::math::ellint_rj(1.778e-31, 1.407e+18, 10.05, -4.83e-10);
- test_spots(0.0F, "float");
- test_spots(0.0, "double");
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- test_spots(0.0L, "long double");
- #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
- test_spots(boost::math::concepts::real_concept(0), "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_carlson.cpp
- Linking...
- Embedding manifest...
- Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_carlson.exe"
- Running 1 test case...
- Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32
- Testing: RF: Random data
- boost::math::ellint_rf<float> Max = 0 RMS Mean=0
- Testing: RC: Random data
- boost::math::ellint_rc<float> Max = 0 RMS Mean=0
- Testing: RJ: Random data
- boost::math::ellint_rf<float> Max = 0 RMS Mean=0
- Testing: RD: Random data
- boost::math::ellint_rd<float> Max = 0 RMS Mean=0
- Testing: RF: Random data
- boost::math::ellint_rf<double> Max = 2.949 RMS Mean=0.7498
- worst case at row: 377
- { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
- Testing: RC: Random data
- boost::math::ellint_rc<double> Max = 2.396 RMS Mean=0.6283
- worst case at row: 10
- { 1.97e-029, 3.224e-025, 2.753e+012 }
- Testing: RJ: Random data
- boost::math::ellint_rf<double> Max = 152.9 RMS Mean=11.15
- worst case at row: 633
- { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
- Testing: RD: Random data
- boost::math::ellint_rd<double> Max = 2.586 RMS Mean=0.8614
- worst case at row: 45
- { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
- Testing: RF: Random data
- boost::math::ellint_rf<long double> Max = 2.949 RMS Mean=0.7498
- worst case at row: 377
- { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
- Testing: RC: Random data
- boost::math::ellint_rc<long double> Max = 2.396 RMS Mean=0.6283
- worst case at row: 10
- { 1.97e-029, 3.224e-025, 2.753e+012 }
- Testing: RJ: Random data
- boost::math::ellint_rf<long double> Max = 152.9 RMS Mean=11.15
- worst case at row: 633
- { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
- Testing: RD: Random data
- boost::math::ellint_rd<long double> Max = 2.586 RMS Mean=0.8614
- worst case at row: 45
- { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
- Testing: RF: Random data
- boost::math::ellint_rf<real_concept> Max = 2.949 RMS Mean=0.7498
- worst case at row: 377
- { 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
- Testing: RC: Random data
- boost::math::ellint_rc<real_concept> Max = 2.396 RMS Mean=0.6283
- worst case at row: 10
- { 1.97e-029, 3.224e-025, 2.753e+012 }
- Testing: RJ: Random data
- boost::math::ellint_rf<real_concept> Max = 152.9 RMS Mean=11.15
- worst case at row: 633
- { 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
- Testing: RD: Random data
- boost::math::ellint_rd<real_concept> Max = 2.586 RMS Mean=0.8614
- worst case at row: 45
- { 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
- *** No errors detected
- */
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