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1324401c92
Add SYCL testing of ariy functions Add CUDA testing of airy functions Add NVRTC testing of airy functions Add GPU support to ellint rc Add GPU support to ellint rd Add GPU support to ellint rf Add GPU support to ellint rg Add GPU support to ellint rj Add GPU support to ellint d Add GPU support to ellint_1 Markup forward and add ellint_3 return type def for NVRTC platform Add CUDA testing of ellint 1 NVRTC fixes Add NVRTC testing of ellint_1 Add GPU support to ellint_2 Add CUDA testing of ellint_2 Fix NVRTC errors Add NVRTC testing of ellint_2 Add GPU support to atanh Add GPU support to ellint_3 Add NVRTC testing of ellint_3 Add CUDA testing of ellint_3 Replace use of static const char* Add SYCL testing of ellint_1 Add SYCL testing of ellint 2 with slight tolerance bump Remove recursion from ellint_rj Add ellint_d CUDA testing Add NVRTC testing of ellint_d Add SYCL testing of ellint_d Remove SYCL ellint_3 support Update docs Add GPU support to jacobi zeta Add CUDA testing of jacobi zeta Add NVRTC testing of jacobi zeta Add SYCL testing of jacobi zeta Add GPU support to heuman_lambda Add NVRTC testing of heuman lambda Add CUDA testing of heuman_lambda Add SYCL testing of heuman lambda Add markers to docs Add marker for CUDA only functions in the docs
104 lines
5.5 KiB
C++
104 lines
5.5 KiB
C++
// Copyright John Maddock 2012
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#ifndef SYCL_LANGUAGE_VERSION
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#include <pch_light.hpp>
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#endif
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#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
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#define BOOST_TEST_MAIN
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#include <boost/test/unit_test.hpp>
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#include <boost/test/tools/floating_point_comparison.hpp>
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#include <boost/math/special_functions/math_fwd.hpp>
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#include <boost/math/special_functions/airy.hpp>
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#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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#include <boost/math/concepts/real_concept.hpp>
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#endif
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#include <boost/array.hpp>
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#include <iostream>
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#include <iomanip>
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#ifdef _MSC_VER
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# pragma warning(disable : 4756 4127) // overflow in constant arithmetic
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// Constants are too big for float case, but this doesn't matter for test.
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#endif
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//
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// DESCRIPTION:
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// ~~~~~~~~~~~~
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//
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// This file tests the Airy functions.
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// These are basically just a few spot tests, since the underlying implementation
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// is the same as for the Bessel functions.
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//
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template <class T>
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void test_airy(T, const char* name)
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{
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std::cout << "Testing type " << name << std::endl;
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static const std::array<std::array<T, 5>, 8> data =
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{{
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// Values are x, Ai, Bi, Ai', Bi'.
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// Calculated from functions.wolfram.com.
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{{ 0, static_cast<T>(0.355028053887817239260063186004183176397979174199177240583327L), static_cast<T>(0.614926627446000735150922369093613553594728188648596505040879L), static_cast<T>(-0.258819403792806798405183560189203963479091138354934582210002L), static_cast<T>(0.448288357353826357914823710398828390866226799212262061082809L) }},
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{{ 2, static_cast<T>(0.0349241304232743791353220807918076097610602138975832071886699L), static_cast<T>(3.29809499997821471028060442522345242200397596340362078768292L), static_cast<T>(-0.0530903844336536317039991858787034912485609900458779926304030L), static_cast<T>(4.10068204993288988938203407917793529439024461377513711983771L) }},
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{{ 3.5, static_cast<T>(0.00258409878698963496327714478330027845019631096464789073425468L), static_cast<T>(33.0555067546114794142573129819217946861266278143724855010951L), static_cast<T>(-0.00500441396795258283203024967883836790716278377542974739809987L), static_cast<T>(59.1643195813609870345742121795224602529063343063320217229383L) }},
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{{ 30.5, static_cast<T>(2.04253461666926015963302258449952681287194929082634196439857e-50L), static_cast<T>(1.41092256201712698413071856671990267572381736486242769613348e48L), static_cast<T>(-1.12969466271996376602221721397236452019046628449363103927812e-49L), static_cast<T>(7.78046629440950280615411694840600772185863288897663300007879e48L) }},
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{{ -2, static_cast<T>(0.227407428201685575991924436037873799460772225417096716495790L), static_cast<T>(-0.412302587956398488083234054611461042034534834472404728823877L), static_cast<T>(0.618259020741691041406264291332475282915777945124146942159898L), static_cast<T>(0.278795166921169522685097569410983241403000593451631000239732L) }},
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{{ -3.5, static_cast<T>(-0.375533823140431911934396951580170239543268576378264063902563L), static_cast<T>(0.168939837481058611843442769540943269911562243926304070915824L), static_cast<T>(-0.343443433454048146287937374098698857094194220958713294264017L), static_cast<T>(-0.693116284907288801752443612670580462699702668014978495343697L) }},
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{{ -30.25, static_cast<T>(-0.236900428491559731119806902381433570300271552218956227857722L), static_cast<T>(0.0418614989839147441219283537268101850442118139150748075124111L), static_cast<T>(-0.232197332372689274917364138870840123428255785603863926579897L), static_cast<T>(-1.30261375952554697768880873095691151213006925411329957440342L) }},
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{{ -300.5, static_cast<T>(-0.117584304761702008955433457721670950077867326839023449546057L), static_cast<T>(0.0673518035440918806545676478730240310819758211028871823560384L), static_cast<T>(-1.16763702262473888724431076711846459336993902544926162874376L), static_cast<T>(-2.03826035550300900666977975504950803669545593208969273694133L) }},
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}};
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T tol = boost::math::tools::epsilon<T>() * 800;
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if ((std::numeric_limits<T>::digits > 100) || (std::numeric_limits<T>::digits == 0))
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tol *= 2;
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#ifdef SYCL_LANGUAGE_VERSION
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tol *= 5;
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#endif
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for(unsigned i = 0; i < data.size(); ++i)
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{
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BOOST_CHECK_CLOSE_FRACTION(data[i][1], boost::math::airy_ai(data[i][0]), tol);
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if(boost::math::isfinite(data[i][2]))
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BOOST_CHECK_CLOSE_FRACTION(data[i][2], boost::math::airy_bi(data[i][0]), tol);
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BOOST_CHECK_CLOSE_FRACTION(data[i][3], boost::math::airy_ai_prime(data[i][0]), tol);
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if(boost::math::isfinite(data[i][4]))
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BOOST_CHECK_CLOSE_FRACTION(data[i][4], boost::math::airy_bi_prime(data[i][0]), tol);
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}
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}
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BOOST_AUTO_TEST_CASE( test_main )
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{
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#ifdef TEST_GSL
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gsl_set_error_handler_off();
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#endif
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BOOST_MATH_CONTROL_FP;
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#ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
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test_airy(0.1F, "float");
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#endif
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test_airy(0.1, "double");
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_airy(0.1L, "long double");
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#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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test_airy(boost::math::concepts::real_concept(0), "real_concept");
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#endif
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#else
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std::cout << "<note>The long double tests have been disabled on this platform "
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"either because the long double overloads of the usual math functions are "
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"not available at all, or because they are too inaccurate for these tests "
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"to pass.</note>" << std::endl;
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#endif
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}
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