boost/libs/multiprecision/performance/sf_performance.hpp

///////////////////////////////////////////////////////////////
//  Copyright 2011 John Maddock. Distributed under the Boost
//  Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_

#define BOOST_MATH_MAX_ROOT_ITERATION_POLICY 750
#define BOOST_MATH_PROMOTE_DOUBLE_POLICY false

#if !defined(TEST_MPFR) && !defined(TEST_MPREAL) && !defined(TEST_MPF) && !defined(TEST_MPREAL) \
   && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR_CLASS) && !defined(TEST_FLOAT) && !defined(TEST_CPP_BIN_FLOAT)
#  define TEST_MPFR
#  define TEST_MPF
#  define TEST_CPP_DEC_FLOAT
#  define TEST_CPP_BIN_FLOAT
//#  define TEST_MPFR_CLASS
//#  define TEST_MPREAL
#  define TEST_FLOAT
#endif

#ifdef TEST_FLOAT
#include "arithmetic_backend.hpp"
#endif
#ifdef TEST_MPFR_CLASS
#include <boost/math/bindings/mpfr.hpp>
#endif
#ifdef TEST_MPFR
#include <boost/multiprecision/mpfr.hpp>
#endif
#ifdef TEST_MPREAL
#include <boost/math/bindings/mpreal.hpp>
#endif
#ifdef TEST_MPF
#include <boost/multiprecision/gmp.hpp>
#endif
#ifdef TEST_CPP_DEC_FLOAT
#include <boost/multiprecision/cpp_dec_float.hpp>
#endif
#ifdef TEST_CPP_BIN_FLOAT
#include <boost/multiprecision/cpp_bin_float.hpp>
#include <boost/multiprecision/mpfr.hpp>
#endif
#include <boost/math/special_functions/bessel.hpp>
#include <boost/math/tools/rational.hpp>
#include <boost/math/distributions/non_central_t.hpp>
#include <libs/math/test/table_type.hpp>
#include <boost/chrono.hpp>
#include <boost/array.hpp>
#include <boost/thread.hpp>

template <class Real>
Real test_bessel();

template <class Clock>
struct stopwatch
{
   typedef typename Clock::duration duration;
   stopwatch()
   {
      m_start = Clock::now();
   }
   duration elapsed()
   {
      return Clock::now() - m_start;
   }
   void reset()
   {
      m_start = Clock::now();
   }

private:
   typename Clock::time_point m_start;
};

template <class Real>
Real test_bessel()
{
   try{
#  define T double
#  define SC_(x) x
#  include "libs/math/test/bessel_i_int_data.ipp"
#  include "libs/math/test/bessel_i_data.ipp"

      Real r;

      for(unsigned i = 0; i < bessel_i_int_data.size(); ++i)
      {
         r += boost::math::cyl_bessel_i(Real(bessel_i_int_data[i][0]), Real(bessel_i_int_data[i][1]));
      }
      for(unsigned i = 0; i < bessel_i_data.size(); ++i)
      {
         r += boost::math::cyl_bessel_i(Real(bessel_i_data[i][0]), Real(bessel_i_data[i][1]));
      }

#include "libs/math/test/bessel_j_int_data.ipp"
      for(unsigned i = 0; i < bessel_j_int_data.size(); ++i)
      {
         r += boost::math::cyl_bessel_j(Real(bessel_j_int_data[i][0]), Real(bessel_j_int_data[i][1]));
      }

#include "libs/math/test/bessel_j_data.ipp"
      for(unsigned i = 0; i < bessel_j_data.size(); ++i)
      {
         r += boost::math::cyl_bessel_j(Real(bessel_j_data[i][0]), Real(bessel_j_data[i][1]));
      }

#include "libs/math/test/bessel_j_large_data.ipp"
      for(unsigned i = 0; i < bessel_j_large_data.size(); ++i)
      {
         r += boost::math::cyl_bessel_j(Real(bessel_j_large_data[i][0]), Real(bessel_j_large_data[i][1]));
      }

#include "libs/math/test/sph_bessel_data.ipp"
      for(unsigned i = 0; i < sph_bessel_data.size(); ++i)
      {
         r += boost::math::sph_bessel(static_cast<unsigned>(sph_bessel_data[i][0]), Real(sph_bessel_data[i][1]));
      }

      return r;
   }
   catch(const std::exception& e)
   {
      std::cout << e.what() << std::endl;
   }
   return 0;
}

template <class Real>
Real test_polynomial()
{
   static const unsigned t[] = {
      2, 3, 4, 5, 6, 7, 8 };
   Real result = 0;
   for(Real k = 2; k < 1000; ++k)
      result += boost::math::tools::evaluate_polynomial(t, k);

   return result;
}

template <class Real>
Real test_nct()
{
#define T double
#include "libs/math/test/nct.ipp"

   Real result = 0;
   for(unsigned i = 0; i < nct.size(); ++i)
   {
      try{
         result += quantile(boost::math::non_central_t_distribution<Real>(nct[i][0], nct[i][1]), nct[i][3]);
         result += cdf(boost::math::non_central_t_distribution<Real>(nct[i][0], nct[i][1]), nct[i][2]);
      }
      catch(const std::exception&)
      {}
   }
   return result;
}

extern unsigned allocation_count;

template <class Real>
void basic_allocation_test(const char* name, Real x)
{
   static const unsigned a[] = { 2, 3, 4, 5, 6, 7, 8 };
   allocation_count = 0;
   Real result = (((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0];
   std::cout << "Allocation count for type " << name << " = " << allocation_count << std::endl;
}

template <class Real>
void poly_allocation_test(const char* name, Real x)
{
   static const unsigned a[] = { 2, 3, 4, 5, 6, 7, 8 };
   allocation_count = 0;
   Real result = boost::math::tools::evaluate_polynomial(a, x);
   std::cout << "Allocation count for type " << name << " = " << allocation_count << std::endl;
}

template <class Real>
void time_proc(const char* name, Real (*proc)(), unsigned threads = 1)
{
   try{
      static Real total = 0;
      allocation_count = 0;
      boost::chrono::duration<double> time;
      stopwatch<boost::chrono::high_resolution_clock> c;
      total += proc();
      time = c.elapsed();
      std::cout << "Time for " << name << " = " << time << std::endl;
      std::cout << "Total allocations for " << name << " = " << allocation_count << std::endl;

      for(unsigned thread_count = 1; thread_count < threads; ++thread_count)
      {
         c.reset();
         boost::thread_group g;
         for(unsigned i = 0; i <= thread_count; ++i)
            g.create_thread(proc);
         g.join_all();
         time = c.elapsed();
         std::cout << "Time for " << name << " (" << (thread_count + 1) << " threads) = " << time << std::endl;
         std::cout << "Total allocations for " << name << " = " << allocation_count << std::endl;
      }
   }
   catch(const std::exception& e)
   {
      std::cout << e.what() << std::endl;
   }
}

using namespace boost::multiprecision;

void basic_tests();
void bessel_tests();
void poly_tests();
void nct_tests();