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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"
- #include "test_bessel_y_prime.hpp"
- //
- // DESCRIPTION:
- // ~~~~~~~~~~~~
- //
- // This file tests the bessel Y 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";
- #endif
- //
- // HP-UX and Solaris rates are very slightly higher:
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "HP-UX|Sun Solaris", // platform
- largest_type, // test type(s)
- ".*(Y'[nv]|y').*Random.*", // test data group
- ".*", 150000, 30000); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "HP-UX|Sun Solaris", // platform
- largest_type, // test type(s)
- ".*Y'[01Nv].*", // test data group
- ".*", 1300, 500); // test function
- //
- // Tru64:
- //
- add_expected_result(
- ".*Tru64.*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*(Y'[nv]|y').*Random.*", // test data group
- ".*", 30000, 30000); // test function
- add_expected_result(
- ".*Tru64.*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*Y'[01Nv].*", // test data group
- ".*", 400, 200); // test function
- //
- // Mac OS X rates are very slightly higher:
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "Mac OS", // platform
- largest_type, // test type(s)
- ".*(Y'[nv1]).*", // test data group
- ".*", 600000, 100000); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "Mac OS", // platform
- "long double|real_concept", // test type(s)
- ".*Y'[0].*", // test data group
- ".*", 1500, 1000); // test function
- //
- // Linux:
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "linux", // platform
- largest_type, // test type(s)
- ".*Y'v.*Random.*", // test data group
- ".*", 400000, 200000); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "linux", // platform
- largest_type, // test type(s)
- ".*Y'[01v].*", // test data group
- ".*", 2000, 1000); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- "linux", // platform
- largest_type, // test type(s)
- ".*Y'n.*", // test data group
- ".*", 30000, 30000); // test function
- //
- // MinGW:
- //
- add_expected_result(
- "GNU.*", // compiler
- ".*", // stdlib
- "Win32.*", // platform
- largest_type, // test type(s)
- ".*Y'v.*Random.*", // test data group
- ".*", 400000, 300000); // test function
- add_expected_result(
- "GNU.*", // compiler
- ".*", // stdlib
- "Win32.*", // platform
- largest_type, // test type(s)
- ".*Y'[01v].*", // test data group
- ".*", 2000, 1000); // test function
- add_expected_result(
- "GNU.*", // compiler
- ".*", // stdlib
- "Win32.*", // platform
- largest_type, // test type(s)
- ".*Y'n.*", // test data group
- ".*", 30000, 30000); // test function
- //
- // Solaris version of long double has it's own error rates,
- // again just a touch higher than msvc's 64-bit double:
- //
- add_expected_result(
- "GNU.*", // compiler
- ".*", // stdlib
- "Sun.*", // platform
- largest_type, // test type(s)
- "Y'[0N].*Mathworld.*", // test data group
- ".*", 2000, 2000); // test function
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
- && (std::numeric_limits<long double>::digits < 90))
- {
- // some errors spill over into type double as well:
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- "double", // test type(s)
- ".*Y'[Nn].*", // test data group
- ".*", 20, 20); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- "double", // test type(s)
- ".*Y'v.*", // test data group
- ".*", 200, 70); // test function
- }
- #endif
- //
- // defaults are based on MSVC-8 on Win32:
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- "real_concept", // test type(s)
- ".*(Y'[nv]|y').*Random.*", // test data group
- ".*", 40000, 3000); // test function
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*(Y'[nv]|y').*Random.*", // test data group
- ".*", 40000, 3000); // test function
- //
- // Fallback for sun has to go after the general cases above:
- //
- add_expected_result(
- "GNU.*", // compiler
- ".*", // stdlib
- "Sun.*", // platform
- largest_type, // test type(s)
- "Y'[0N].*", // test data group
- ".*", 200, 200); // test function
- //
- // General fallback:
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- largest_type, // test type(s)
- ".*", // test data group
- ".*", 700, 300); // test function
- //
- // One set of float tests has inexact input values, so there is a slight error:
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- "float", // test type(s)
- "Y'v: Mathworld Data", // test data group
- ".*", 30, 20); // 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_prime(0.1F, "float");
- #endif
- test_bessel_prime(0.1, "double");
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- test_bessel_prime(0.1L, "long double");
- #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
- test_bessel_prime(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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