update ceph source to reef 18.1.2

[ceph.git] / ceph / src / boost / libs / multiprecision / test / test_sin_near_half_pi.cpp

///////////////////////////////////////////////////////////////
//  Copyright Christopher Kormanyos 2002 - 2011.
//  Copyright 2011 John Maddock. Distributed under the Boost
//  Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469

#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif

#include <boost/detail/lightweight_test.hpp>
#include <boost/array.hpp>
#include <boost/math/special_functions/relative_difference.hpp>
#include "test.hpp"

#if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT) && !defined(TEST_MPFR_50)
#define TEST_MPF_50
#define TEST_CPP_DEC_FLOAT
#define TEST_FLOAT128
#define TEST_CPP_BIN_FLOAT
#define TEST_MPFR_50

#ifdef _MSC_VER
#pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!")
#endif
#ifdef __GNUC__
#pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!"
#endif

#endif

#include <boost/multiprecision/mpfr.hpp>

#if defined(TEST_MPF_50)
#include <boost/multiprecision/gmp.hpp>
#endif
#ifdef TEST_CPP_DEC_FLOAT
#include <boost/multiprecision/cpp_dec_float.hpp>
#endif
#ifdef TEST_FLOAT128
#include <boost/multiprecision/float128.hpp>
#endif
#ifdef TEST_CPP_BIN_FLOAT
#include <boost/multiprecision/cpp_bin_float.hpp>
#endif

template <class T>
void test()
{
   typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<1000> > mpfr_float_1000;

   for (int n = 0; n <= 20; ++n)
   {
      std::cout << "Testing n = " << n << std::endl;
      T boundary = boost::math::constants::half_pi<T>() * n;
      T val      = boundary;
      if((n == 0) && ((std::numeric_limits<T>::min_exponent <= std::numeric_limits<mpfr_float_1000>::min_exponent) || (!std::numeric_limits<T>::is_specialized)))
         continue;
      for (unsigned i = 0; i < 200; ++i)
      {
         mpfr_float_1000 comparison(val);
         comparison = sin(comparison);
         T found = sin(val);
         T expected = T(comparison);
         BOOST_CHECK_LE(boost::math::epsilon_difference(found, expected), 20);
         val = boost::math::float_next(val);
      }
      val = boundary;
      for (unsigned i = 0; i < 200; ++i)
      {
         val = boost::math::float_prior(val);
         mpfr_float_1000 comparison(val);
         comparison = sin(comparison);
         T found = sin(val);
         T expected = T(comparison);
         BOOST_CHECK_LE(boost::math::epsilon_difference(found, expected), 20);
      }
   }
}

int main()
{
#ifdef TEST_MPF_50
   test<boost::multiprecision::mpf_float_50>();
   test<boost::multiprecision::mpf_float_100>();
   boost::multiprecision::mpf_float::default_precision(50);
   test<boost::multiprecision::mpf_float>();
   boost::multiprecision::mpf_float::default_precision(100);
   test<boost::multiprecision::mpf_float>();
#endif
#ifdef TEST_MPFR_50
   boost::multiprecision::mpfr_float::default_precision(50);
   test<boost::multiprecision::mpfr_float>();
   boost::multiprecision::mpfr_float::default_precision(100);
   test<boost::multiprecision::mpfr_float>();
#endif
#ifdef TEST_CPP_DEC_FLOAT
   test<boost::multiprecision::cpp_dec_float_50>();
   test<boost::multiprecision::cpp_dec_float_100>();
#ifndef SLOW_COMPLER
   // Some "peculiar" digit counts which stress our code:
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<65> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<64> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<63> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<62> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<61, long long> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<60, long long> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<59, long long, std::allocator<char> > > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<58, long long, std::allocator<char> > > >();
   // Check low multiprecision digit counts.
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<9> > >();
   test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<18> > >();
#endif
#endif
#ifdef TEST_FLOAT128
   test<boost::multiprecision::float128>();
#endif
#ifdef TEST_CPP_BIN_FLOAT
   test<boost::multiprecision::cpp_bin_float_50>();
   test<boost::multiprecision::cpp_bin_float_quad>();
   test<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<35, boost::multiprecision::digit_base_10, std::allocator<char>, long long> > >();
#endif
   return boost::report_errors();
}