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///////////////////////////////////////////////////////////////
// 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
#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif
#include "test.hpp"
#if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_MPZ) && \
!defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPFR_50) && !defined(TEST_MPQ) && \
!defined(TEST_TOMMATH) && !defined(TEST_CPP_INT) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT)
#define TEST_MPF_50
#define TEST_MPF
#define TEST_BACKEND
#define TEST_MPZ
#define TEST_MPFR
#define TEST_MPFR_50
#define TEST_CPP_DEC_FLOAT
#define TEST_MPQ
#define TEST_TOMMATH
#define TEST_CPP_INT
#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) || defined(TEST_MPF) || defined(TEST_MPZ) || defined(TEST_MPQ)
#include <boost/multiprecision/gmp.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
#if defined(TEST_MPFR) || defined(TEST_MPFR_50)
#include <boost/multiprecision/mpfr.hpp>
#endif
#if defined(TEST_MPFI_50)
#include <boost/multiprecision/mpfi.hpp>
#endif
#ifdef TEST_TOMMATH
#include <boost/multiprecision/tommath.hpp>
#endif
#ifdef TEST_CPP_INT
#include <boost/multiprecision/cpp_int.hpp>
#endif
#ifdef TEST_FLOAT128
#include <boost/multiprecision/float128.hpp>
#endif
#ifdef TEST_CPP_BIN_FLOAT
#include <boost/multiprecision/cpp_bin_float.hpp>
#endif
#ifdef BOOST_MSVC
#pragma warning(disable : 4127)
#endif
#define PRINT(x) \
std::cout << BOOST_STRINGIZE(x) << " = " << std::numeric_limits<Number>::x << std::endl;
template <class Number>
void test_specific(const boost::mpl::int_<boost::multiprecision::number_kind_floating_point>&)
{
Number minv, maxv;
minv = (std::numeric_limits<Number>::min)();
maxv = (std::numeric_limits<Number>::max)();
BOOST_CHECK((boost::math::isnormal)(minv));
BOOST_CHECK((boost::math::isnormal)(maxv));
BOOST_CHECK((boost::math::isnormal)(log(minv)));
BOOST_CHECK((boost::math::isnormal)(log(maxv)));
BOOST_CHECK((boost::math::isnormal)(sqrt(minv)));
BOOST_CHECK((boost::math::isnormal)(sqrt(maxv)));
if (std::numeric_limits<Number>::is_specialized)
{
if (std::numeric_limits<Number>::has_quiet_NaN)
{
BOOST_TEST((boost::math::isnan)(std::numeric_limits<Number>::quiet_NaN()));
BOOST_TEST(FP_NAN == (boost::math::fpclassify)(std::numeric_limits<Number>::quiet_NaN()));
BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::quiet_NaN()));
BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::quiet_NaN()));
BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::quiet_NaN()));
}
if (std::numeric_limits<Number>::has_signaling_NaN)
{
BOOST_TEST((boost::math::isnan)(std::numeric_limits<Number>::signaling_NaN()));
BOOST_TEST(FP_NAN == (boost::math::fpclassify)(std::numeric_limits<Number>::signaling_NaN()));
BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::signaling_NaN()));
BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::signaling_NaN()));
BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::signaling_NaN()));
}
if (std::numeric_limits<Number>::has_infinity)
{
BOOST_TEST((boost::math::isinf)(std::numeric_limits<Number>::infinity()));
BOOST_TEST(FP_INFINITE == (boost::math::fpclassify)(std::numeric_limits<Number>::infinity()));
BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::infinity()));
BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::infinity()));
BOOST_TEST(!(boost::math::isnan)(std::numeric_limits<Number>::infinity()));
}
if (std::numeric_limits<Number>::has_denorm == std::denorm_present)
{
BOOST_TEST(FP_SUBNORMAL == (boost::math::fpclassify)(std::numeric_limits<Number>::denorm_min()));
BOOST_TEST(FP_SUBNORMAL == (boost::math::fpclassify)((std::numeric_limits<Number>::min)() / 2));
BOOST_TEST((boost::math::isfinite)(std::numeric_limits<Number>::denorm_min()));
BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::denorm_min()));
BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::denorm_min()));
BOOST_TEST(!(boost::math::isnan)(std::numeric_limits<Number>::denorm_min()));
BOOST_TEST(0 == std::numeric_limits<Number>::denorm_min() / 2);
BOOST_TEST(0 != (std::numeric_limits<Number>::min)() / 2);
BOOST_TEST(0 != std::numeric_limits<Number>::denorm_min());
}
}
Number n = 0;
BOOST_TEST((boost::math::fpclassify)(n) == FP_ZERO);
BOOST_TEST((boost::math::isfinite)(n));
BOOST_TEST(!(boost::math::isnormal)(n));
BOOST_TEST(!(boost::math::isinf)(n));
BOOST_TEST(!(boost::math::isnan)(n));
n = 2;
BOOST_TEST((boost::math::fpclassify)(n) == FP_NORMAL);
BOOST_TEST((boost::math::isfinite)(n));
BOOST_TEST((boost::math::isnormal)(n));
BOOST_TEST(!(boost::math::isinf)(n));
BOOST_TEST(!(boost::math::isnan)(n));
if (std::numeric_limits<Number>::round_style == std::round_to_nearest)
{
BOOST_CHECK_EQUAL(std::numeric_limits<Number>::round_error(), 0.5);
}
else if (std::numeric_limits<Number>::round_style != std::round_indeterminate)
{
// Round error is 1.0:
BOOST_CHECK_EQUAL(std::numeric_limits<Number>::round_error(), 1);
}
else
{
// Round error is presumably somewhere between 0.5 and 1:
BOOST_CHECK((std::numeric_limits<Number>::round_error() <= 1) && (std::numeric_limits<Number>::round_error() >= 0.5));
}
}
template <class Number>
void test_specific(const boost::mpl::int_<boost::multiprecision::number_kind_integer>&)
{
if (std::numeric_limits<Number>::is_modulo)
{
if (!std::numeric_limits<Number>::is_signed)
{
BOOST_TEST(1 + (std::numeric_limits<Number>::max)() == 0);
BOOST_TEST(--Number(0) == (std::numeric_limits<Number>::max)());
}
}
}
template <class Number, class T>
void test_specific(const T&)
{
}
template <class Number>
void test()
{
typedef typename boost::mpl::if_c<
std::numeric_limits<Number>::is_specialized,
typename boost::multiprecision::number_category<Number>::type,
boost::mpl::int_<500> // not a number type
>::type fp_test_type;
test_specific<Number>(fp_test_type());
//
// Note really a test just yet, but we can at least print out all the values:
//
std::cout << "numeric_limits values for type " << typeid(Number).name() << std::endl;
PRINT(is_specialized);
if (std::numeric_limits<Number>::is_integer)
{
std::cout << std::hex << std::showbase;
}
std::cout << "max()"
<< " = " << (std::numeric_limits<Number>::max)() << std::endl;
if (std::numeric_limits<Number>::is_integer)
{
std::cout << std::dec;
}
std::cout << "max()"
<< " = " << (std::numeric_limits<Number>::max)() << std::endl;
std::cout << "min()"
<< " = " << (std::numeric_limits<Number>::min)() << std::endl;
#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
PRINT(lowest());
#endif
PRINT(digits);
PRINT(digits10);
#ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
PRINT(max_digits10);
#endif
PRINT(is_signed);
PRINT(is_integer);
PRINT(is_exact);
PRINT(radix);
PRINT(epsilon());
PRINT(round_error());
PRINT(min_exponent);
PRINT(min_exponent10);
PRINT(max_exponent);
PRINT(max_exponent10);
PRINT(has_infinity);
PRINT(has_quiet_NaN);
PRINT(has_signaling_NaN);
PRINT(has_denorm);
PRINT(has_denorm_loss);
PRINT(infinity());
PRINT(quiet_NaN());
PRINT(signaling_NaN());
PRINT(denorm_min());
PRINT(is_iec559);
PRINT(is_bounded);
PRINT(is_modulo);
PRINT(traps);
PRINT(tinyness_before);
PRINT(round_style);
}
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>();
#endif
#ifdef TEST_MPF
boost::multiprecision::mpf_float::default_precision(1000);
/*
boost::multiprecision::mpf_float r;
r.precision(50);
BOOST_TEST(r.precision() >= 50);
*/
BOOST_TEST(boost::multiprecision::mpf_float::default_precision() == 1000);
test<boost::multiprecision::mpf_float>();
#endif
#ifdef TEST_MPZ
test<boost::multiprecision::mpz_int>();
#endif
#ifdef TEST_MPQ
test<boost::multiprecision::mpq_rational>();
#endif
#ifdef TEST_CPP_DEC_FLOAT
test<boost::multiprecision::cpp_dec_float_50>();
test<boost::multiprecision::cpp_dec_float_100>();
#endif
#ifdef TEST_MPFR
test<boost::multiprecision::mpfr_float>();
#endif
#ifdef TEST_MPFR_50
test<boost::multiprecision::mpfr_float_50>();
#endif
#ifdef TEST_MPFI_50
test<boost::multiprecision::mpfi_float_50>();
test<boost::multiprecision::mpfi_float>();
#endif
#ifdef TEST_TOMMATH
test<boost::multiprecision::tom_int>();
#endif
#ifdef TEST_CPP_INT
test<boost::multiprecision::cpp_int>();
test<boost::multiprecision::int256_t>();
test<boost::multiprecision::uint512_t>();
test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<200, 200, boost::multiprecision::unsigned_magnitude, boost::multiprecision::checked, void> > >();
test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<70, 70, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void> > >();
#endif
#ifdef TEST_FLOAT128
test<boost::multiprecision::float128>();
#endif
#ifdef TEST_CPP_BIN_FLOAT
test<boost::multiprecision::cpp_bin_float_50>();
#endif
return boost::report_errors();
}
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