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///////////////////////////////////////////////////////////////
// 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 "test.hpp"
#if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPFR_50) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT)
#define TEST_MPF_50
//# define TEST_MPF
#define TEST_BACKEND
#define TEST_CPP_DEC_FLOAT
#define TEST_MPFI_50
#define TEST_FLOAT128
#define TEST_CPP_BIN_FLOAT
#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
#if defined(TEST_MPF_50)
#include <boost/multiprecision/gmp.hpp>
#endif
#if defined(TEST_MPFR_50)
#include <boost/multiprecision/mpfr.hpp>
#endif
#if defined(TEST_MPFI_50)
#include <boost/multiprecision/mpfi.hpp>
#endif
#ifdef TEST_BACKEND
#include <boost/multiprecision/concepts/mp_number_archetypes.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()
{
std::cout << "Testing type: " << typeid(T).name() << std::endl;
//
// Test with some exact binary values as input - this tests our code
// rather than the test data:
//
static const boost::array<boost::array<T, 2>, 6> exact_data =
{{
{{0.5, static_cast<T>("0.523598775598298873077107230546583814032861566562517636829157432051302734381034833104672470890352844663691347752213717775")}},
{{0.25, static_cast<T>("0.252680255142078653485657436993710972252193733096838193633923778740575060481021222411748742228014601605092602909414066566")}},
{{0.75, static_cast<T>("0.848062078981481008052944338998418080073366213263112642860718163570200821228474234349189801731957230300995227265307531834")}},
{{std::ldexp(1.0, -20), static_cast<T>("9.53674316406394560289664793089102218648031077292419572854816420395098616062014311172490017625353237219958438022056661501e-7")}},
{{1 - std::ldexp(1.0, -20), static_cast<T>("1.56941525875313420204921285316218397515809899320201864334535204504240776023375739189119474528488143494473216475057072728")}},
{{1, static_cast<T>("1.57079632679489661923132169163975144209858469968755291048747229615390820314310449931401741267105853399107404325664115332354692230477529111586267970406424055872514205135096926055277982231147447746519098221440548783296672306423782411689339158263560095457282428346173017430522716332410669680363012457064")}},
}};
unsigned max_err = 0;
for (unsigned k = 0; k < exact_data.size(); k++)
{
T val = asin(exact_data[k][0]);
T e = relative_error(val, exact_data[k][1]);
unsigned err = e.template convert_to<unsigned>();
if (err > max_err)
max_err = err;
val = asin(-exact_data[k][0]);
e = relative_error(val, T(-exact_data[k][1]));
err = e.template convert_to<unsigned>();
if (err > max_err)
{
max_err = err;
}
}
std::cout << "Max error was: " << max_err << std::endl;
BOOST_TEST(max_err < 20);
BOOST_TEST(asin(T(0)) == 0);
}
int main()
{
#ifdef TEST_BACKEND
test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >();
#endif
#ifdef TEST_MPF_50
test<boost::multiprecision::mpf_float_50>();
test<boost::multiprecision::mpf_float_100>();
#endif
#ifdef TEST_MPFR_50
test<boost::multiprecision::mpfr_float_50>();
test<boost::multiprecision::mpfr_float_100>();
#endif
#ifdef TEST_MPFI_50
test<boost::multiprecision::mpfi_float_50>();
test<boost::multiprecision::mpfi_float_100>();
#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::number<boost::multiprecision::cpp_bin_float<35, boost::multiprecision::digit_base_10, std::allocator<char>, boost::long_long_type> > >();
#endif
return boost::report_errors();
}
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