ceph/src/boost/libs/math/reporting/performance/test_kn.cpp

   1 //  Copyright John Maddock 2015.
   2 //  Use, modification and distribution are subject to the
   3 //  Boost Software License, Version 1.0. (See accompanying file
   4 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
   5
   6 #ifdef _MSC_VER
   7 #  pragma warning (disable : 4224)
   8 #endif
   9
  10 #include <boost/math/special_functions/bessel.hpp>
  11 #include <boost/array.hpp>
  12 #include <boost/lexical_cast.hpp>
  13 #include "../../test/table_type.hpp"
  14 #include "table_helper.hpp"
  15 #include "performance.hpp"
  16 #include <iostream>
  17
  18 typedef double T;
  19 #define SC_(x) static_cast<double>(x)
  20 static const boost::array<boost::array<T, 3>, 9> k0_data = { {
  21    { { SC_(0.0), SC_(1.0), SC_(0.421024438240708333335627379212609036136219748226660472298970) } },
  22    { { SC_(0.0), SC_(2.0), SC_(0.113893872749533435652719574932481832998326624388808882892530) } },
  23    { { SC_(0.0), SC_(4.0), SC_(0.0111596760858530242697451959798334892250090238884743405382553) } },
  24    { { SC_(0.0), SC_(8.0), SC_(0.000146470705222815387096584408698677921967305368833759024089154) } },
  25    { { SC_(0.0), T(std::ldexp(1.0, -15)), SC_(10.5131392267382037062459525561594822400447325776672021972753) } },
  26    { { SC_(0.0), T(std::ldexp(1.0, -30)), SC_(20.9103469324567717360787328239372191382743831365906131108531) } },
  27    { { SC_(0.0), T(std::ldexp(1.0, -60)), SC_(41.7047623492551310138446473188663682295952219631968830346918) } },
  28    { { SC_(0.0), SC_(50.0), SC_(3.41016774978949551392067551235295223184502537762334808993276e-23) } },
  29    { { SC_(0.0), SC_(100.0), SC_(4.65662822917590201893900528948388635580753948544211387402671e-45) } },
  30    } };
  31 static const boost::array<boost::array<T, 3>, 9> k1_data = { {
  32    { { SC_(1.0), SC_(1.0), SC_(0.601907230197234574737540001535617339261586889968106456017768) } },
  33    { { SC_(1.0), SC_(2.0), SC_(0.139865881816522427284598807035411023887234584841515530384442) } },
  34    { { SC_(1.0), SC_(4.0), SC_(0.0124834988872684314703841799808060684838415849886258457917076) } },
  35    { { SC_(1.0), SC_(8.0), SC_(0.000155369211805001133916862450622474621117065122872616157079566) } },
  36    { { SC_(1.0), T(std::ldexp(1.0, -15)), SC_(32767.9998319528316432647441316539139725104728341577594326513) } },
  37    { { SC_(1.0), T(std::ldexp(1.0, -30)), SC_(1.07374182399999999003003028572687332810353799544215073362305e9) } },
  38    { { SC_(1.0), T(std::ldexp(1.0, -60)), SC_(1.15292150460684697599999999999999998169660198868126604634036e18) } },
  39    { { SC_(1.0), SC_(50.0), SC_(3.44410222671755561259185303591267155099677251348256880221927e-23) } },
  40    { { SC_(1.0), SC_(100.0), SC_(4.67985373563690928656254424202433530797494354694335352937465e-45) } },
  41    } };
  42 static const boost::array<boost::array<T, 3>, 9> kn_data = { {
  43    { { SC_(2.0), T(std::ldexp(1.0, -30)), SC_(2.30584300921369395150000000000000000234841952009593636868109e18) } },
  44    { { SC_(5.0), SC_(10.0), SC_(0.0000575418499853122792763740236992723196597629124356739596921536) } },
  45    { { SC_(-5.0), SC_(100.0), SC_(5.27325611329294989461777188449044716451716555009882448801072e-45) } },
  46    { { SC_(10.0), SC_(10.0), SC_(0.00161425530039067002345725193091329085443750382929208307802221) } },
  47    { { SC_(10.0), T(std::ldexp(1.0, -30)), SC_(3.78470202927236255215249281534478864916684072926050665209083e98) } },
  48    { { SC_(-10.0), SC_(1.0), SC_(1.80713289901029454691597861302340015908245782948536080022119e8) } },
  49    { { SC_(100.0), SC_(5.0), SC_(7.03986019306167654653386616796116726248616158936088056952477e115) } },
  50    { { SC_(100.0), SC_(80.0), SC_(8.39287107246490782848985384895907681748152272748337807033319e-12) } },
  51    { { SC_(-1000.0), SC_(700.0), SC_(6.51561979144735818903553852606383312984409361984128221539405e-31) } },
  52    } };
  53
  54 int main()
  55 {
  56 #include "bessel_k_int_data.ipp"
  57
  58    add_data(k0_data);
  59    add_data(k1_data);
  60    add_data(kn_data);
  61    add_data(bessel_k_int_data);
  62
  63    unsigned data_total = data.size();
  64
  65    screen_data([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
  66
  67 #if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
  68    screen_data([](const std::vector<double>& v){  return std::tr1::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
  69 #endif
  70 #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
  71    screen_data([](const std::vector<double>& v){  return gsl_sf_bessel_Kn(static_cast<int>(v[0]), v[1]);  }, [](const std::vector<double>& v){ return v[2];  });
  72 #endif
  73 #if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
  74    screen_data([](const std::vector<double>& v){  return bessel_k(v[1], static_cast<int>(v[0]), 1);  }, [](const std::vector<double>& v){ return v[2];  });
  75 #endif
  76
  77    unsigned data_used = data.size();
  78    std::string function = "cyl_bessel_k (integer order)[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)";
  79    std::string function_short = "cyl_bessel_k (integer order)";
  80
  81    double time;
  82
  83    time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  });
  84    std::cout << time << std::endl;
  85 #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
  86    report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name());
  87 #endif
  88    report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name());
  89    //
  90    // Boost again, but with promotion to long double turned off:
  91    //
  92 #if !defined(COMPILER_COMPARISON_TABLES)
  93    if(sizeof(long double) != sizeof(double))
  94    {
  95       time = exec_timed_test([](const std::vector<double>& v){  return boost::math::cyl_bessel_k(static_cast<int>(v[0]), v[1], boost::math::policies::make_policy(boost::math::policies::promote_double<false>()));  });
  96       std::cout << time << std::endl;
  97 #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH) || defined(TEST_LIBSTDCXX))
  98       report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>");
  99 #endif
 100       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<false>");
 101    }
 102 #endif
 103
 104
 105 #if defined(TEST_LIBSTDCXX) && !defined(COMPILER_COMPARISON_TABLES)
 106    time = exec_timed_test([](const std::vector<double>& v){  return std::tr1::cyl_bessel_k(static_cast<int>(v[0]), v[1]);  });
 107    std::cout << time << std::endl;
 108    report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "tr1/cmath");
 109 #endif
 110 #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES)
 111    time = exec_timed_test([](const std::vector<double>& v){  return gsl_sf_bessel_Kn(static_cast<int>(v[0]), v[1]);  });
 112    std::cout << time << std::endl;
 113    report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION);
 114 #endif
 115 #if defined(TEST_RMATH) && !defined(COMPILER_COMPARISON_TABLES)
 116    time = exec_timed_test([](const std::vector<double>& v){  return bessel_k(v[1], static_cast<int>(v[0]), 1);  });
 117    std::cout << time << std::endl;
 118    report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "Rmath "  R_VERSION_STRING);
 119 #endif
 120
 121    return 0;
 122 }
 123