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- // (C) Copyright John Maddock 2018.
- // 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_sinc.hpp"
- #include <boost/multiprecision/cpp_bin_float.hpp>
- #include <boost/math/special_functions/next.hpp>
- //
- // DESCRIPTION:
- // ~~~~~~~~~~~~
- //
- // This file tests the sinc_pi function. 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.
- //
- add_expected_result(
- ".*", // compiler
- ".*", // stdlib
- ".*", // platform
- ".*", // test type(s)
- ".*", // test data group
- ".*", 3, 3); // 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;
- }
- template <class T>
- void test_close_to_transition()
- {
- T transition = 3.3f * boost::math::tools::forth_root_epsilon<T>();
- T val = transition;
- for (unsigned i = 0; i < 100; ++i)
- {
- boost::multiprecision::cpp_bin_float_50 extended = val;
- extended = sin(extended) / extended;
- T expected = extended.template convert_to<T>();
- T result = boost::math::sinc_pi(val);
- BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
- result = boost::math::sinc_pi(-val);
- BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
- val = boost::math::float_prior(val);
- }
- for (unsigned i = 0; i < 100; ++i)
- {
- boost::multiprecision::cpp_bin_float_50 extended = val;
- extended = sin(extended) / extended;
- T expected = extended.template convert_to<T>();
- T result = boost::math::sinc_pi(val);
- BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
- result = boost::math::sinc_pi(-val);
- BOOST_CHECK_LE(boost::math::epsilon_difference(result, expected), 3);
- val = boost::math::float_next(val);
- }
- }
- BOOST_AUTO_TEST_CASE( test_main )
- {
- BOOST_MATH_CONTROL_FP;
- expected_results();
- test_sinc(0.1F, "float");
- test_close_to_transition<float>();
- test_sinc(0.1, "double");
- test_close_to_transition<double>();
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- test_sinc(0.1L, "long double");
- test_close_to_transition<long double>();
- #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
- test_sinc(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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