From 483eb2f56657e8e7f419ab1a4fab8dce9ade8609 Mon Sep 17 00:00:00 2001 From: Daniel Baumann Date: Sat, 27 Apr 2024 20:24:20 +0200 Subject: Adding upstream version 14.2.21. Signed-off-by: Daniel Baumann --- src/boost/libs/math/test/test_ibeta_inv.hpp | 274 ++++++++++++++++++++++++++++ 1 file changed, 274 insertions(+) create mode 100644 src/boost/libs/math/test/test_ibeta_inv.hpp (limited to 'src/boost/libs/math/test/test_ibeta_inv.hpp') diff --git a/src/boost/libs/math/test/test_ibeta_inv.hpp b/src/boost/libs/math/test/test_ibeta_inv.hpp new file mode 100644 index 00000000..6787fdb9 --- /dev/null +++ b/src/boost/libs/math/test/test_ibeta_inv.hpp @@ -0,0 +1,274 @@ +// 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 +#define BOOST_TEST_MAIN +#include +#include +#include +#include +#include +#include +#include +#include +#include "functor.hpp" + +#include "handle_test_result.hpp" +#include "table_type.hpp" + +#ifndef SC_ +#define SC_(x) static_cast::type>(BOOST_JOIN(x, L)) +#endif + +template +void test_inverses(const T& data) +{ + using namespace std; + //typedef typename T::value_type row_type; + typedef Real value_type; + + value_type precision = static_cast(ldexp(1.0, 1-boost::math::policies::digits >()/2)) * 100; + if(boost::math::policies::digits >() < 50) + precision = 1; // 1% or two decimal digits, all we can hope for when the input is truncated + + for(unsigned i = 0; i < data.size(); ++i) + { + // + // These inverse tests are thrown off if the output of the + // incomplete beta is too close to 1: basically there is insuffient + // information left in the value we're using as input to the inverse + // to be able to get back to the original value. + // + if(Real(data[i][5]) == 0) + BOOST_CHECK_EQUAL(boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(0)); + else if((1 - Real(data[i][5]) > 0.001) + && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value()) + && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value())) + { + value_type inv = boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])); + BOOST_CHECK_CLOSE(Real(data[i][2]), inv, precision); + } + else if(1 == Real(data[i][5])) + BOOST_CHECK_EQUAL(boost::math::ibeta_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][5])), value_type(1)); + + if(Real(data[i][6]) == 0) + BOOST_CHECK_EQUAL(boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6])), value_type(1)); + else if((1 - Real(data[i][6]) > 0.001) + && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value()) + && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value())) + { + value_type inv = boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6])); + BOOST_CHECK_CLOSE(Real(data[i][2]), inv, precision); + } + else if(Real(data[i][6]) == 1) + BOOST_CHECK_EQUAL(boost::math::ibetac_inv(Real(data[i][0]), Real(data[i][1]), Real(data[i][6])), value_type(0)); + } +} + +template +void test_inverses2(const T& data, const char* type_name, const char* test_name) +{ +#if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_INV_FUNCTION_TO_TEST)) + //typedef typename T::value_type row_type; + typedef Real value_type; + + typedef value_type (*pg)(value_type, value_type, value_type); +#ifdef IBETA_INV_FUNCTION_TO_TEST + pg funcp = IBETA_INV_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + pg funcp = boost::math::ibeta_inv; +#else + pg funcp = boost::math::ibeta_inv; +#endif + + boost::math::tools::test_result result; + + std::cout << "Testing " << test_name << " with type " << type_name + << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; + + // + // test ibeta_inv(T, T, T) against data: + // + result = boost::math::tools::test_hetero( + data, + bind_func(funcp, 0, 1, 2), + extract_result(3)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_inv", test_name); + // + // test ibetac_inv(T, T, T) against data: + // +#ifdef IBETAC_INV_FUNCTION_TO_TEST + funcp = IBETAC_INV_FUNCTION_TO_TEST; +#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) + funcp = boost::math::ibetac_inv; +#else + funcp = boost::math::ibetac_inv; +#endif + result = boost::math::tools::test_hetero( + data, + bind_func(funcp, 0, 1, 2), + extract_result(4)); + handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_inv", test_name); +#endif +} + + +template +void test_beta(T, const char* name) +{ +#if !defined(ERROR_REPORTING_MODE) + (void)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 + // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x): + // +#if !defined(TEST_DATA) || (TEST_DATA == 1) +# include "ibeta_small_data.ipp" + + test_inverses(ibeta_small_data); +#endif + +#if !defined(TEST_DATA) || (TEST_DATA == 2) +# include "ibeta_data.ipp" + + test_inverses(ibeta_data); +#endif + +#if !defined(TEST_DATA) || (TEST_DATA == 3) +# include "ibeta_large_data.ipp" + + test_inverses(ibeta_large_data); +#endif + +#endif + +#if !defined(TEST_DATA) || (TEST_DATA == 4) +# include "ibeta_inv_data.ipp" + + test_inverses2(ibeta_inv_data, name, "Inverse incomplete beta"); +#endif +} + +template +void test_spots(T) +{ + BOOST_MATH_STD_USING + // + // basic sanity checks, tolerance is 100 epsilon expressed as a percentage: + // + T tolerance = boost::math::tools::epsilon() * 10000; + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(1), + static_cast(2), + static_cast(0.5)), + static_cast(0.29289321881345247559915563789515096071516406231153L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(3), + static_cast(0.5), + static_cast(0.5)), + static_cast(0.92096723292382700385142816696980724853063433975470L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(20.125), + static_cast(0.5), + static_cast(0.5)), + static_cast(0.98862133312917003480022776106012775747685870929920L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(40), + static_cast(80), + static_cast(0.5)), + static_cast(0.33240456430025026300937492802591128972548660643778L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(40), + static_cast(0.5), + ldexp(T(1), -30)), + static_cast(0.624305407878048788716096298053941618358257550305573588792717L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(40), + static_cast(0.5), + static_cast(1 - ldexp(T(1), -30))), + static_cast(0.99999999999999999998286262026583217516676792408012252456039L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(0.5), + static_cast(40), + static_cast(ldexp(T(1), -30))), + static_cast(1.713737973416782483323207591987747543960774485649459249e-20L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(0.5), + static_cast(0.75), + static_cast(ldexp(T(1), -30))), + static_cast(1.245132488513853853809715434621955746959615015005382639e-18L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(0.5), + static_cast(0.5), + static_cast(0.25)), + static_cast(0.1464466094067262377995778189475754803575820311557629L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(0.5), + static_cast(0.5), + static_cast(0.75)), + static_cast(0.853553390593273762200422181052424519642417968844237018294169L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(1), + static_cast(5), + static_cast(0.125)), + static_cast(0.026352819384831863473794894078665766580641189002729204514544L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(5), + static_cast(1), + static_cast(0.125)), + static_cast(0.659753955386447129687000985614820066516734506596709340752903L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(1), + static_cast(0.125), + static_cast(0.125)), + static_cast(0.656391084194183349609374999999999999999999999999999999999999L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibeta_inv( + static_cast(0.125), + static_cast(1), + static_cast(0.125)), + static_cast(5.960464477539062500000e-8), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibetac_inv( + static_cast(5), + static_cast(1), + static_cast(0.125)), + static_cast(0.973647180615168136526205105921334233419358810997270795485455L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibetac_inv( + static_cast(1), + static_cast(5), + static_cast(0.125)), + static_cast(0.340246044613552870312999014385179933483265493403290659247096L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibetac_inv( + static_cast(0.125), + static_cast(1), + static_cast(0.125)), + static_cast(0.343608915805816650390625000000000000000000000000000000000000L), tolerance); + BOOST_CHECK_CLOSE( + ::boost::math::ibetac_inv( + static_cast(1), + static_cast(0.125), + static_cast(0.125)), + static_cast(0.99999994039535522460937500000000000000000000000L), tolerance); +} + -- cgit v1.2.3