141 lines
6.0 KiB
C++
141 lines
6.0 KiB
C++
///////////////////////////////////////////////////////////////
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// Copyright Christopher Kormanyos 2002 - 2011.
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// Copyright 2011 John Maddock. Distributed under the Boost
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// Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
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//
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// This work is based on an earlier work:
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// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
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// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
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#ifdef _MSC_VER
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#define _SCL_SECURE_NO_WARNINGS
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#endif
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#include <boost/detail/lightweight_test.hpp>
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#include <boost/array.hpp>
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#include "test.hpp"
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#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)
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#define TEST_MPF_50
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//# define TEST_MPF
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#define TEST_BACKEND
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#define TEST_CPP_DEC_FLOAT
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#define TEST_MPFI_50
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#define TEST_FLOAT128
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#define TEST_CPP_BIN_FLOAT
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#ifdef _MSC_VER
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#pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!")
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#endif
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#ifdef __GNUC__
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#pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!"
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#endif
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#endif
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#if defined(TEST_MPF_50)
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#include <boost/multiprecision/gmp.hpp>
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#endif
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#if defined(TEST_MPFR_50)
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#include <boost/multiprecision/mpfr.hpp>
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#endif
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#if defined(TEST_MPFI_50)
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#include <boost/multiprecision/mpfi.hpp>
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#endif
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#ifdef TEST_BACKEND
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#include <boost/multiprecision/concepts/mp_number_archetypes.hpp>
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#endif
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#ifdef TEST_CPP_DEC_FLOAT
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#include <boost/multiprecision/cpp_dec_float.hpp>
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#endif
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#ifdef TEST_FLOAT128
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#include <boost/multiprecision/float128.hpp>
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#endif
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#ifdef TEST_CPP_BIN_FLOAT
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#include <boost/multiprecision/cpp_bin_float.hpp>
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#endif
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template <class T>
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void test()
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{
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std::cout << "Testing type: " << typeid(T).name() << std::endl;
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//
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// Test with some exact binary values as input - this tests our code
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// rather than the test data:
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//
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static const boost::array<boost::array<T, 2>, 6> exact_data =
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{{
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{{0.5, static_cast<T>("0.523598775598298873077107230546583814032861566562517636829157432051302734381034833104672470890352844663691347752213717775")}},
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{{0.25, static_cast<T>("0.252680255142078653485657436993710972252193733096838193633923778740575060481021222411748742228014601605092602909414066566")}},
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{{0.75, static_cast<T>("0.848062078981481008052944338998418080073366213263112642860718163570200821228474234349189801731957230300995227265307531834")}},
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{{std::ldexp(1.0, -20), static_cast<T>("9.53674316406394560289664793089102218648031077292419572854816420395098616062014311172490017625353237219958438022056661501e-7")}},
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{{1 - std::ldexp(1.0, -20), static_cast<T>("1.56941525875313420204921285316218397515809899320201864334535204504240776023375739189119474528488143494473216475057072728")}},
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{{1, static_cast<T>("1.57079632679489661923132169163975144209858469968755291048747229615390820314310449931401741267105853399107404325664115332354692230477529111586267970406424055872514205135096926055277982231147447746519098221440548783296672306423782411689339158263560095457282428346173017430522716332410669680363012457064")}},
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}};
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unsigned max_err = 0;
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for (unsigned k = 0; k < exact_data.size(); k++)
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{
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T val = asin(exact_data[k][0]);
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T e = relative_error(val, exact_data[k][1]);
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unsigned err = e.template convert_to<unsigned>();
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if (err > max_err)
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max_err = err;
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val = asin(-exact_data[k][0]);
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e = relative_error(val, T(-exact_data[k][1]));
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err = e.template convert_to<unsigned>();
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if (err > max_err)
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{
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max_err = err;
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}
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}
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std::cout << "Max error was: " << max_err << std::endl;
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BOOST_TEST(max_err < 20);
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BOOST_TEST(asin(T(0)) == 0);
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}
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int main()
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{
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#ifdef TEST_BACKEND
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test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >();
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#endif
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#ifdef TEST_MPF_50
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test<boost::multiprecision::mpf_float_50>();
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test<boost::multiprecision::mpf_float_100>();
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#endif
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#ifdef TEST_MPFR_50
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test<boost::multiprecision::mpfr_float_50>();
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test<boost::multiprecision::mpfr_float_100>();
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#endif
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#ifdef TEST_MPFI_50
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test<boost::multiprecision::mpfi_float_50>();
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test<boost::multiprecision::mpfi_float_100>();
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#endif
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#ifdef TEST_CPP_DEC_FLOAT
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test<boost::multiprecision::cpp_dec_float_50>();
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test<boost::multiprecision::cpp_dec_float_100>();
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#ifndef SLOW_COMPLER
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// Some "peculiar" digit counts which stress our code:
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<65> > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<64> > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<63> > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<62> > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<61, long long> > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<60, long long> > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<59, long long, std::allocator<char> > > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<58, long long, std::allocator<char> > > >();
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// Check low multiprecision digit counts.
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<9> > >();
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test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<18> > >();
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#endif
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#endif
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#ifdef TEST_FLOAT128
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test<boost::multiprecision::float128>();
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#endif
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#ifdef TEST_CPP_BIN_FLOAT
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test<boost::multiprecision::cpp_bin_float_50>();
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test<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<35, boost::multiprecision::digit_base_10, std::allocator<char>, boost::long_long_type> > >();
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#endif
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return boost::report_errors();
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}
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