204 lines
7.4 KiB
C++
204 lines
7.4 KiB
C++
// Copyright 2006 John Maddock
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// Copyright Paul A. Bristow 2007.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include <pch_light.hpp>
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#include "test_carlson.hpp"
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//
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// DESCRIPTION:
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// ~~~~~~~~~~~~
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//
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// This file tests the Carlson Elliptic Integrals.
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// There are two sets of tests, spot
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// tests which compare our results with the published test values,
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// in Numerical Computation of Real or Complex Elliptic Integrals,
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// B. C. Carlson: http://arxiv.org/abs/math.CA/9409227
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// However, the bulk of the accuracy tests
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// use values generated with NTL::RR at 1000-bit precision
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// and our generic versions of these functions.
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//
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// Note that when this file is first run on a new platform many of
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// these tests will fail: the default accuracy is 1 epsilon which
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// is too tight for most platforms. In this situation you will
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// need to cast a human eye over the error rates reported and make
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// a judgement as to whether they are acceptable. Either way please
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// report the results to the Boost mailing list. Acceptable rates of
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// error are marked up below as a series of regular expressions that
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// identify the compiler/stdlib/platform/data-type/test-data/test-function
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// along with the maximum expected peek and RMS mean errors for that
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// test.
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//
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void expected_results()
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{
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//
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// Define the max and mean errors expected for
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// various compilers and platforms.
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//
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const char* largest_type;
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
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{
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largest_type = "(long\\s+)?double";
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}
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else
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{
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largest_type = "long double";
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}
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#else
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largest_type = "(long\\s+)?double";
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#endif
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//
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// real long doubles:
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//
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if(boost::math::policies::digits<long double, boost::math::policies::policy<> >() > 53)
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{
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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BOOST_PLATFORM, // platform
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largest_type, // test type(s)
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".*RJ.*", // test data group
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".*", 1000, 50); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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BOOST_PLATFORM, // platform
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"real_concept", // test type(s)
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".*RJ.*", // test data group
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".*", 1000, 50); // test function
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}
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//
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// Catch all cases come last:
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*RJ.*", // test data group
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".*", 250, 50); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"real_concept", // test type(s)
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".*RJ.*", // test data group
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".*", 250, 50); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*", // test data group
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".*", 25, 8); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"real_concept", // test type(s)
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".*", // test data group
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".*", 25, 8); // test function
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//
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// Finish off by printing out the compiler/stdlib/platform names,
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// we do this to make it easier to mark up expected error rates.
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//
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std::cout << "Tests run with " << BOOST_COMPILER << ", "
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<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
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}
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BOOST_AUTO_TEST_CASE( test_main )
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{
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expected_results();
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BOOST_MATH_CONTROL_FP;
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boost::math::ellint_rj(1.778e-31, 1.407e+18, 10.05, -4.83e-10);
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test_spots(0.0F, "float");
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test_spots(0.0, "double");
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_spots(0.0L, "long double");
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#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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test_spots(boost::math::concepts::real_concept(0), "real_concept");
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#endif
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#else
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std::cout << "<note>The long double tests have been disabled on this platform "
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"either because the long double overloads of the usual math functions are "
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"not available at all, or because they are too inaccurate for these tests "
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"to pass.</note>" << std::endl;
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#endif
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}
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/*
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test_carlson.cpp
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Linking...
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Embedding manifest...
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Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_carlson.exe"
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Running 1 test case...
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Tests run with Microsoft Visual C++ version 8.0, Dinkumware standard library version 405, Win32
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Testing: RF: Random data
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boost::math::ellint_rf<float> Max = 0 RMS Mean=0
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Testing: RC: Random data
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boost::math::ellint_rc<float> Max = 0 RMS Mean=0
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Testing: RJ: Random data
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boost::math::ellint_rf<float> Max = 0 RMS Mean=0
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Testing: RD: Random data
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boost::math::ellint_rd<float> Max = 0 RMS Mean=0
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Testing: RF: Random data
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boost::math::ellint_rf<double> Max = 2.949 RMS Mean=0.7498
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worst case at row: 377
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{ 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
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Testing: RC: Random data
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boost::math::ellint_rc<double> Max = 2.396 RMS Mean=0.6283
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worst case at row: 10
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{ 1.97e-029, 3.224e-025, 2.753e+012 }
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Testing: RJ: Random data
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boost::math::ellint_rf<double> Max = 152.9 RMS Mean=11.15
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worst case at row: 633
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{ 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
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Testing: RD: Random data
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boost::math::ellint_rd<double> Max = 2.586 RMS Mean=0.8614
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worst case at row: 45
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{ 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
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Testing: RF: Random data
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boost::math::ellint_rf<long double> Max = 2.949 RMS Mean=0.7498
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worst case at row: 377
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{ 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
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Testing: RC: Random data
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boost::math::ellint_rc<long double> Max = 2.396 RMS Mean=0.6283
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worst case at row: 10
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{ 1.97e-029, 3.224e-025, 2.753e+012 }
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Testing: RJ: Random data
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boost::math::ellint_rf<long double> Max = 152.9 RMS Mean=11.15
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worst case at row: 633
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{ 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
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Testing: RD: Random data
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boost::math::ellint_rd<long double> Max = 2.586 RMS Mean=0.8614
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worst case at row: 45
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{ 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
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Testing: RF: Random data
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boost::math::ellint_rf<real_concept> Max = 2.949 RMS Mean=0.7498
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worst case at row: 377
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{ 3.418e+025, 2.594e-005, 3.264e-012, 6.169e-012 }
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Testing: RC: Random data
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boost::math::ellint_rc<real_concept> Max = 2.396 RMS Mean=0.6283
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worst case at row: 10
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{ 1.97e-029, 3.224e-025, 2.753e+012 }
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Testing: RJ: Random data
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boost::math::ellint_rf<real_concept> Max = 152.9 RMS Mean=11.15
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worst case at row: 633
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{ 1.876e+016, 0.000278, 3.796e-006, -4.412e-005, -1.656e-005 }
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Testing: RD: Random data
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boost::math::ellint_rd<real_concept> Max = 2.586 RMS Mean=0.8614
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worst case at row: 45
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{ 2.111e-020, 8.757e-026, 1.923e-023, 1.004e+033 }
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*** No errors detected
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*/
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