diff options
Diffstat (limited to 'src/boost/libs/math/test/test_digamma.cpp')
| -rw-r--r-- | src/boost/libs/math/test/test_digamma.cpp | 133 |
1 files changed, 133 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_digamma.cpp b/src/boost/libs/math/test/test_digamma.cpp new file mode 100644 index 00000000..67fee819 --- /dev/null +++ b/src/boost/libs/math/test/test_digamma.cpp @@ -0,0 +1,133 @@ +// (C) Copyright John Maddock 2006. +// 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_digamma.hpp" + +// +// DESCRIPTION: +// ~~~~~~~~~~~~ +// +// This file tests the digamma 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) + ".*Negative.*", // test data group + ".*", 300, 40); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + ".*Near the Positive Root.*", // test data group + ".*", 25000, 3000); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + "real_concept", // test type(s) + ".*Half.*", // test data group + ".*", 15, 10); // test function + 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_spots(T, const char* t) +{ + std::cout << "Testing basic sanity checks for type " << t << std::endl; + // + // Basic sanity checks, tolerance is 3 epsilon expressed as a percentage: + // + T tolerance = boost::math::tools::epsilon<T>() * 300; + // + // Special tolerance (200eps) for when we're very near the root, + // and T has more than 64-bits in it's mantissa: + // + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.125)), static_cast<T>(-8.3884926632958548678027429230863430000514460424495L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(0.5)), static_cast<T>(-1.9635100260214234794409763329987555671931596046604L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1)), static_cast<T>(-0.57721566490153286060651209008240243104215933593992L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5)), static_cast<T>(0.036489973978576520559023667001244432806840395339566L), tolerance * 40); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(1.5) - static_cast<T>(1)/32), static_cast<T>(0.00686541147073577672813890866512415766586241385896200579891429L), tolerance * 100); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(2)), static_cast<T>(0.42278433509846713939348790991759756895784066406008L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(8)), static_cast<T>(2.0156414779556099965363450527747404261006978069172L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(12)), static_cast<T>(2.4426616799758120167383652547949424463027180089374L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(22)), static_cast<T>(3.0681430398611966699248760264450329818421699570581L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(50)), static_cast<T>(3.9019896734278921969539597028823666609284424880275L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(500)), static_cast<T>(6.2136077650889917423827750552855712637776544784569L), tolerance); + // + // negative values: + // + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-0.125)), static_cast<T>(7.1959829284523046176757814502538535827603450463013L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.125)), static_cast<T>(9.9480538258660761287008034071425343357982429855241L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-10.875)), static_cast<T>(-5.1527360383841562620205965901515879492020193154231L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::digamma(static_cast<T>(-1.5)), static_cast<T>(0.70315664064524318722569033366791109947350706200623L), tolerance); +} + +BOOST_AUTO_TEST_CASE( test_main ) +{ + BOOST_MATH_CONTROL_FP; + test_spots(0.0F, "float"); + test_spots(0.0, "double"); +#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS + test_spots(0.0L, "long double"); + test_spots(boost::math::concepts::real_concept(0.1), "real_concept"); +#endif + + expected_results(); + + test_digamma(0.1F, "float"); + test_digamma(0.1, "double"); +#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS + test_digamma(0.1L, "long double"); +#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS + test_digamma(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 +} + + |