diff options
Diffstat (limited to 'src/boost/libs/math/test/test_erf.hpp')
| -rw-r--r-- | src/boost/libs/math/test/test_erf.hpp | 215 |
1 files changed, 215 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_erf.hpp b/src/boost/libs/math/test/test_erf.hpp new file mode 100644 index 00000000..be4d64f6 --- /dev/null +++ b/src/boost/libs/math/test/test_erf.hpp @@ -0,0 +1,215 @@ +// Copyright John Maddock 2006. +// Copyright Paul A. Bristow 2007, 2009 +// 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 <boost/math/concepts/real_concept.hpp> +#define BOOST_TEST_MAIN +#include <boost/test/unit_test.hpp> +#include <boost/test/tools/floating_point_comparison.hpp> +#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/type_traits/is_floating_point.hpp> +#include <boost/array.hpp> +#include "functor.hpp" + +#include "handle_test_result.hpp" +#include "table_type.hpp" + +#ifndef SC_ +#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L)) +#endif + +template <class Real, class T> +void do_test_erf(const T& data, const char* type_name, const char* test_name) +{ + typedef Real value_type; + + typedef value_type (*pg)(value_type); +#ifdef ERF_FUNCTION_TO_TEST + pg funcp = ERF_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::erf<value_type>; +#else + pg funcp = boost::math::erf; +#endif + + boost::math::tools::test_result<value_type> result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + + // + // test erf against data: + // +#if !(defined(ERROR_REPORTING_MODE) && !defined(ERF_FUNCTION_TO_TEST)) + result = boost::math::tools::test_hetero<Real>( + data, + bind_func<Real>(funcp, 0), + extract_result<Real>(1)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "erf", test_name); +#endif + // + // test erfc against data: + // +#ifdef ERFC_FUNCTION_TO_TEST + funcp = ERFC_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + funcp = boost::math::erfc<value_type>; +#else + funcp = boost::math::erfc; +#endif +#if !(defined(ERROR_REPORTING_MODE) && !defined(ERFC_FUNCTION_TO_TEST)) + result = boost::math::tools::test_hetero<Real>( + data, + bind_func<Real>(funcp, 0), + extract_result<Real>(2)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "erfc", test_name); + std::cout << std::endl; +#endif +} + + +template <class Real, class T> +void do_test_erf_inv(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(ERF_INV_FUNCTION_TO_TEST)) + typedef Real value_type; + + typedef value_type (*pg)(value_type); + + boost::math::tools::test_result<value_type> result; + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + // + // test erf_inv against data: + // +#ifdef ERF_INV_FUNCTION_TO_TEST + pg funcp = ERF_INV_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::erf_inv<value_type>; +#else + pg funcp = boost::math::erf_inv; +#endif + result = boost::math::tools::test_hetero<Real>( + data, + bind_func<Real>(funcp, 0), + extract_result<Real>(1)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "erf_inv", test_name); + std::cout << std::endl; +#endif +} + +template <class Real, class T> +void do_test_erfc_inv(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(ERFC_INV_FUNCTION_TO_TEST)) + typedef Real value_type; + + typedef value_type (*pg)(value_type); + + boost::math::tools::test_result<value_type> result; + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + // + // test erfc_inv against data: + // +#ifdef ERFC_INV_FUNCTION_TO_TEST + pg funcp = ERFC_INV_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::erfc_inv<value_type>; +#else + pg funcp = boost::math::erfc_inv; +#endif + result = boost::math::tools::test_hetero<Real>( + data, + bind_func<Real>(funcp, 0), + extract_result<Real>(1)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "erfc_inv", test_name); + std::cout << std::endl; +#endif +} + +template <class T> +void test_erf(T, const char* name) +{ + // + // The actual test data is rather verbose, so it's in a separate file + // + // The contents are as follows, each row of data contains + // three items, input value a, input value b and erf(a, b): + // +# include "erf_small_data.ipp" + + do_test_erf<T>(erf_small_data, name, "Erf Function: Small Values"); + +# include "erf_data.ipp" + + do_test_erf<T>(erf_data, name, "Erf Function: Medium Values"); + +# include "erf_large_data.ipp" + + do_test_erf<T>(erf_large_data, name, "Erf Function: Large Values"); + +# include "erf_inv_data.ipp" + + do_test_erf_inv<T>(erf_inv_data, name, "Inverse Erf Function"); + +# include "erfc_inv_data.ipp" + + do_test_erfc_inv<T>(erfc_inv_data, name, "Inverse Erfc Function"); + +# include "erfc_inv_big_data.ipp" + + if(std::numeric_limits<T>::min_exponent <= -4500) + { + do_test_erfc_inv<T>(erfc_inv_big_data, name, "Inverse Erfc Function: extreme values"); + } +} + +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 10 epsilon expressed as a percentage: + // + T tolerance = boost::math::tools::epsilon<T>() * 1000; + BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.125)), static_cast<T>(0.85968379519866618260697055347837660181302041685015L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0.5)), static_cast<T>(0.47950012218695346231725334610803547126354842424204L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(1)), static_cast<T>(0.15729920705028513065877936491739074070393300203370L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(5)), static_cast<T>(1.5374597944280348501883434853833788901180503147234e-12L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.125)), static_cast<T>(1.1403162048013338173930294465216233981869795831498L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(-0.5)), static_cast<T>(1.5204998778130465376827466538919645287364515757580L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erfc(static_cast<T>(0)), static_cast<T>(1), tolerance); + + BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.125)), static_cast<T>(0.14031620480133381739302944652162339818697958314985L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0.5)), static_cast<T>(0.52049987781304653768274665389196452873645157575796L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(1)), static_cast<T>(0.84270079294971486934122063508260925929606699796630L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(5)), static_cast<T>(0.9999999999984625402055719651498116565146166211099L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.125)), static_cast<T>(-0.14031620480133381739302944652162339818697958314985L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(-0.5)), static_cast<T>(-0.52049987781304653768274665389196452873645157575796L), tolerance); + BOOST_CHECK_CLOSE(::boost::math::erf(static_cast<T>(0)), static_cast<T>(0), tolerance); + + tolerance = boost::math::tools::epsilon<T>() * 100 * 200; // 200 eps %. +#if defined(__CYGWIN__) + // some platforms long double is only reliably accurate to double precision: + if(sizeof(T) == sizeof(long double)) + tolerance = boost::math::tools::epsilon<double>() * 100 * 200; // 200 eps %. +#endif + + for(T i = -0.95f; i < 1; i += 0.125f) + { + T inv = boost::math::erf_inv(i); + T b = boost::math::erf(inv); + BOOST_CHECK_CLOSE(b, i, tolerance); + } + for(T j = 0.125f; j < 2; j += 0.125f) + { + T inv = boost::math::erfc_inv(j); + T b = boost::math::erfc(inv); + BOOST_CHECK_CLOSE(b, j, tolerance); + } +} + |