diff options
Diffstat (limited to 'src/boost/libs/math/test/test_sinc.cpp')
| -rw-r--r-- | src/boost/libs/math/test/test_sinc.cpp | 110 |
1 files changed, 110 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_sinc.cpp b/src/boost/libs/math/test/test_sinc.cpp new file mode 100644 index 00000000..ad0eaeb9 --- /dev/null +++ b/src/boost/libs/math/test/test_sinc.cpp @@ -0,0 +1,110 @@ +// (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 +} + + |