146 lines
6.5 KiB
C++
146 lines
6.5 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 <array>
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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 std::array<std::array<T, 2>, 13> exact_data =
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{{
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{{0.5, static_cast<T>("1.04719755119659774615421446109316762806572313312503527365831486410260546876206966620934494178070568932738269550442743555")}},
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{{0.25, static_cast<T>("1.31811607165281796574566425464604046984639096659071471685354851741333314266208327690226867044304393238598144034722708676")}},
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{{0.75, static_cast<T>("0.722734247813415611178377352641333362025218486424440267626754132583707381914630264964827610939101303690078815991333621490")}},
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{{1 - std::ldexp(1.0, -20), static_cast<T>("0.00138106804176241718210883847756746694048570648553426714212025111150044290934710742282266738617709904634187850607042604204")}},
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{{std::ldexp(1.0, -20), static_cast<T>("1.57079537312058021283676140197495835299636605165647561806789944133748780804448843729970624018104090863783682329820313127")}},
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{{1, static_cast<T>("0")}},
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{{0, static_cast<T>("1.57079632679489661923132169163975144209858469968755291048747229615390820314310449931401741267105853399107404325664115332")}},
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{{-0.5, static_cast<T>("2.09439510239319549230842892218633525613144626625007054731662972820521093752413933241868988356141137865476539100885487110")}},
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{{-0.25, static_cast<T>("1.82347658193697527271697912863346241435077843278439110412139607489448326362412572172576615489907313559616664616605521989")}},
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{{-0.75, static_cast<T>("2.41885840577637762728426603063816952217195091295066555334819045972410902437157873366320721440301576429206927052194868516")}},
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{{-1 + std::ldexp(1.0, -20), static_cast<T>("3.14021158554803082128053454480193541725668369288957155383282434119631596337686189120521215795593996893580620800721188061")}},
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{{-std::ldexp(1.0, -20), static_cast<T>("1.57079728046921302562588198130454453120080334771863020290704515097032859824172056132832858516107615934431126321507917538")}},
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{{-1, static_cast<T>("3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230665")}},
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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 = acos(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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{
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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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#ifdef TEST_CPP_BIN_FLOAT
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BOOST_TEST(max_err < 320);
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#else
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BOOST_TEST(max_err < 60);
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#endif
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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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#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>, long long> > >();
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#endif
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return boost::report_errors();
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}
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