// Copyright John Maddock 2015. // 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) #ifdef _MSC_VER # pragma warning (disable : 4224) #endif #include #include #include #include "../../test/table_type.hpp" #include "table_helper.hpp" #include "performance.hpp" #include typedef double T; #define SC_(x) static_cast(x) static const boost::array, 9> k0_data = { { { { SC_(0.0), SC_(1.0), SC_(0.421024438240708333335627379212609036136219748226660472298970) } }, { { SC_(0.0), SC_(2.0), SC_(0.113893872749533435652719574932481832998326624388808882892530) } }, { { SC_(0.0), SC_(4.0), SC_(0.0111596760858530242697451959798334892250090238884743405382553) } }, { { SC_(0.0), SC_(8.0), SC_(0.000146470705222815387096584408698677921967305368833759024089154) } }, { { SC_(0.0), T(std::ldexp(1.0, -15)), SC_(10.5131392267382037062459525561594822400447325776672021972753) } }, { { SC_(0.0), T(std::ldexp(1.0, -30)), SC_(20.9103469324567717360787328239372191382743831365906131108531) } }, { { SC_(0.0), T(std::ldexp(1.0, -60)), SC_(41.7047623492551310138446473188663682295952219631968830346918) } }, { { SC_(0.0), SC_(50.0), SC_(3.41016774978949551392067551235295223184502537762334808993276e-23) } }, { { SC_(0.0), SC_(100.0), SC_(4.65662822917590201893900528948388635580753948544211387402671e-45) } }, } }; static const boost::array, 9> k1_data = { { { { SC_(1.0), SC_(1.0), SC_(0.601907230197234574737540001535617339261586889968106456017768) } }, { { SC_(1.0), SC_(2.0), SC_(0.139865881816522427284598807035411023887234584841515530384442) } }, { { SC_(1.0), SC_(4.0), SC_(0.0124834988872684314703841799808060684838415849886258457917076) } }, { { SC_(1.0), SC_(8.0), SC_(0.000155369211805001133916862450622474621117065122872616157079566) } }, { { SC_(1.0), T(std::ldexp(1.0, -15)), SC_(32767.9998319528316432647441316539139725104728341577594326513) } }, { { SC_(1.0), T(std::ldexp(1.0, -30)), SC_(1.07374182399999999003003028572687332810353799544215073362305e9) } }, { { SC_(1.0), T(std::ldexp(1.0, -60)), SC_(1.15292150460684697599999999999999998169660198868126604634036e18) } }, { { SC_(1.0), SC_(50.0), SC_(3.44410222671755561259185303591267155099677251348256880221927e-23) } }, { { SC_(1.0), SC_(100.0), SC_(4.67985373563690928656254424202433530797494354694335352937465e-45) } }, } }; static const boost::array, 9> kn_data = { { { { SC_(2.0), T(std::ldexp(1.0, -30)), SC_(2.30584300921369395150000000000000000234841952009593636868109e18) } }, { { SC_(5.0), SC_(10.0), SC_(0.0000575418499853122792763740236992723196597629124356739596921536) } }, { { SC_(-5.0), SC_(100.0), SC_(5.27325611329294989461777188449044716451716555009882448801072e-45) } }, { { SC_(10.0), SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) } }, { { SC_(10.0), T(std::ldexp(1.0, -30)), SC_(3.78470202927236255215249281534478864916684072926050665209083e98) } }, { { SC_(-10.0), SC_(1.0), SC_(1.80713289901029454691597861302340015908245782948536080022119e8) } }, { { SC_(100.0), SC_(5.0), SC_(7.03986019306167654653386616796116726248616158936088056952477e115) } }, { { SC_(100.0), SC_(80.0), SC_(8.39287107246490782848985384895907681748152272748337807033319e-12) } }, { { SC_(-1000.0), SC_(700.0), SC_(6.51561979144735818903553852606383312984409361984128221539405e-31) } }, } }; int main() { #include "bessel_k_int_data.ipp" add_data(k0_data); add_data(k1_data); add_data(kn_data); add_data(bessel_k_int_data); unsigned data_total = data.size(); screen_data([](const std::vector& v){ return boost::math::cyl_bessel_k(static_cast(v[0]), v[1]); }, [](const std::vector& v){ return v[2]; }); #if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES) screen_data([](const std::vector& v){ return std::tr1::cyl_bessel_k(static_cast(v[0]), v[1]); }, [](const std::vector& v){ return v[2]; }); #endif #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES) screen_data([](const std::vector& v){ return gsl_sf_bessel_Kn(static_cast(v[0]), v[1]); }, [](const std::vector& v){ return v[2]; }); #endif #if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES) screen_data([](const std::vector& v){ return bessel_k(v[1], static_cast(v[0]), 1); }, [](const std::vector& v){ return v[2]; }); #endif unsigned data_used = data.size(); std::string function = "cyl_bessel_k (integer order)[br](" + boost::lexical_cast(data_used) + "/" + boost::lexical_cast(data_total) + " tests selected)"; std::string function_short = "cyl_bessel_k (integer order)"; double time; time = exec_timed_test([](const std::vector& v){ return boost::math::cyl_bessel_k(static_cast(v[0]), v[1]); }); std::cout << time << std::endl; #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX)) report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name()); #endif report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name()); // // Boost again, but with promotion to long double turned off: // #if !defined(COMPILER_COMPARISON_TABLES) if(sizeof(long double) != sizeof(double)) { time = exec_timed_test([](const std::vector& v){ return boost::math::cyl_bessel_k(static_cast(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double())); }); std::cout << time << std::endl; #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX)) report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double"); #endif report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double"); } #endif #if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES) time = exec_timed_test([](const std::vector& v){ return std::tr1::cyl_bessel_k(static_cast(v[0]), v[1]); }); std::cout << time << std::endl; report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath"); #endif #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES) time = exec_timed_test([](const std::vector& v){ return gsl_sf_bessel_Kn(static_cast(v[0]), v[1]); }); std::cout << time << std::endl; report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION); #endif #if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES) time = exec_timed_test([](const std::vector& v){ return bessel_k(v[1], static_cast(v[0]), 1); }); std::cout << time << std::endl; report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath " R_VERSION_STRING); #endif return 0; }