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- // Copyright (c) 2013 Anton Bikineev
- // 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"
- #ifdef _MSC_VER
- # pragma warning(disable : 4756) // overflow in constant arithmetic
- // Constants are too big for float case, but this doesn't matter for test.
- #endif
- #include "test_bessel_k_prime.hpp"
- //
- // DESCRIPTION:
- // ~~~~~~~~~~~~
- //
- // This file tests the bessel K functions derivatives. 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 Boost.Multiprecision at 50 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|real_concept";
- #endif
- //
- // On MacOS X cyl_bessel_k has much higher error levels than
- // expected: given that the implementation is basically
- // just a continued fraction 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)
- ".*", // test data group
- ".*", 4000, 1300); // test function
- add_expected_result(
- "GNU.*", // compiler
- ".*", // stdlib
- "Win32.*", // platform
- largest_type, // test type(s)
- ".*large.*", // test data group
- ".*", 250, 100); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*large.*", // test data group
- ".*", 100, 75); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*", // test data group
- ".*", 35, 15); // 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 )
- {
- #ifdef TEST_GSL
- gsl_set_error_handler_off();
- #endif
- expected_results();
- BOOST_MATH_CONTROL_FP;
- #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
- test_bessel(0.1F, "float");
- #endif
- test_bessel(0.1, "double");
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- test_bessel(0.1L, "long double");
- #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
- test_bessel(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
- }
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