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// Copyright John Maddock 2006.
// Copyright Paul A. Bristow 2007
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif
#include <cmath>
#include <math.h>
#include <boost/limits.hpp>
#include <boost/math/special_functions/fpclassify.hpp>
#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_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT)
#define TEST_MPF_50
#define TEST_MPFR_50
#define TEST_MPFI_50
#define TEST_BACKEND
#define TEST_CPP_DEC_FLOAT
#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
#ifdef TEST_MPFR_50
#include <boost/multiprecision/mpfr.hpp>
#endif
#ifdef 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
#ifdef _MSC_VER
#pragma warning(disable : 4127) // conditional expression is constant
#endif
const char* method_name(const boost::math::detail::native_tag&)
{
return "Native";
}
const char* method_name(const boost::math::detail::generic_tag<true>&)
{
return "Generic (with numeric limits)";
}
const char* method_name(const boost::math::detail::generic_tag<false>&)
{
return "Generic (without numeric limits)";
}
const char* method_name(const boost::math::detail::ieee_tag&)
{
return "IEEE std";
}
const char* method_name(const boost::math::detail::ieee_copy_all_bits_tag&)
{
return "IEEE std, copy all bits";
}
const char* method_name(const boost::math::detail::ieee_copy_leading_bits_tag&)
{
return "IEEE std, copy leading bits";
}
template <class T>
void test()
{
T t = 2;
T u = 2;
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
if (std::numeric_limits<T>::is_specialized)
{
t = (std::numeric_limits<T>::max)();
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
t = (std::numeric_limits<T>::min)();
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
}
if (std::numeric_limits<T>::has_denorm)
{
t = (std::numeric_limits<T>::min)();
t /= 2;
if (t != 0)
{
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
}
t = std::numeric_limits<T>::denorm_min();
if ((t != 0) && (t < (std::numeric_limits<T>::min)()))
{
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
}
}
else
{
std::cout << "Denormalised forms not tested" << std::endl;
}
t = 0;
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
t /= -u; // create minus zero if it exists
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
// infinity:
if (std::numeric_limits<T>::has_infinity)
{
// At least one std::numeric_limits<T>::infinity)() returns zero
// (Compaq true64 cxx), hence the check.
t = (std::numeric_limits<T>::infinity)();
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
#if !defined(BOOST_BORLANDC) && !(defined(__DECCXX) && !defined(_IEEE_FP))
// divide by zero on Borland triggers a C++ exception :-(
// divide by zero on Compaq CXX triggers a C style signal :-(
t = 2;
u = 0;
t /= u;
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
t = -2;
t /= u;
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (::boost::math::fpclassify)(t + 0));
#else
std::cout << "Infinities from divide by zero not tested" << std::endl;
#endif
}
else
{
std::cout << "Infinity not tested" << std::endl;
}
#ifndef BOOST_BORLANDC
// NaN's:
// Note that Borland throws an exception if we even try to obtain a Nan
// by calling std::numeric_limits<T>::quiet_NaN() !!!!!!!
if (std::numeric_limits<T>::has_quiet_NaN)
{
t = std::numeric_limits<T>::quiet_NaN();
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
}
else
{
std::cout << "Quiet NaN's not tested" << std::endl;
}
if (std::numeric_limits<T>::has_signaling_NaN)
{
t = std::numeric_limits<T>::signaling_NaN();
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
}
else
{
std::cout << "Signaling NaN's not tested" << std::endl;
}
#endif
//
// Try sign manipulation functions as well:
//
T one(1), minus_one(-1), zero(0);
BOOST_CHECK((::boost::math::sign)(one) > 0);
BOOST_CHECK((::boost::math::sign)(minus_one) < 0);
BOOST_CHECK((::boost::math::sign)(zero) == 0);
BOOST_CHECK((::boost::math::sign)(one + 2) > 0);
BOOST_CHECK((::boost::math::sign)(minus_one - 30) < 0);
BOOST_CHECK((::boost::math::sign)(-zero) == 0);
BOOST_CHECK((::boost::math::signbit)(one) == 0);
BOOST_CHECK((::boost::math::signbit)(minus_one) > 0);
BOOST_CHECK((::boost::math::signbit)(zero) == 0);
BOOST_CHECK((::boost::math::signbit)(one + 2) == 0);
BOOST_CHECK((::boost::math::signbit)(minus_one - 30) > 0);
//BOOST_CHECK((::boost::math::signbit)(-zero) == 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::changesign(one)) > 0);
BOOST_CHECK_EQUAL(boost::math::changesign(one), minus_one);
BOOST_CHECK((::boost::math::signbit)(boost::math::changesign(minus_one)) == 0);
BOOST_CHECK_EQUAL(boost::math::changesign(minus_one), one);
//BOOST_CHECK((::boost::math::signbit)(zero) == 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::changesign(one + 2)) > 0);
BOOST_CHECK_EQUAL(boost::math::changesign(one + 2), -3);
BOOST_CHECK((::boost::math::signbit)(boost::math::changesign(minus_one - 30)) == 0);
BOOST_CHECK_EQUAL(boost::math::changesign(minus_one - 30), 31);
//BOOST_CHECK((::boost::math::signbit)(-zero) == 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(one, one)) == 0);
BOOST_CHECK_EQUAL(boost::math::copysign(one, one), one);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(one, minus_one)) > 0);
BOOST_CHECK_EQUAL(boost::math::copysign(one, minus_one), minus_one);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(minus_one, one)) == 0);
BOOST_CHECK_EQUAL(boost::math::copysign(minus_one, one), one);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(minus_one, minus_one)) > 0);
BOOST_CHECK_EQUAL(boost::math::copysign(minus_one, minus_one), minus_one);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(one + 1, one + 2)) == 0);
BOOST_CHECK_EQUAL(boost::math::copysign(one + 1, one + 2), 2);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(one + 30, minus_one - 20)) > 0);
BOOST_CHECK_EQUAL(boost::math::copysign(one + 30, minus_one - 20), -31);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(minus_one + 2, one + 2)) == 0);
BOOST_CHECK_EQUAL(boost::math::copysign(minus_one - 2, one + 2), 3);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(minus_one - 20, minus_one - 30)) > 0);
BOOST_CHECK_EQUAL(boost::math::copysign(minus_one - 20, minus_one - 30), -21);
// Things involving signed zero, need to detect it first:
T neg_zero_test = -(std::numeric_limits<T>::min)();
neg_zero_test /= (std::numeric_limits<T>::max)();
if (std::numeric_limits<T>::has_infinity && (one / neg_zero_test < 0))
{
#ifndef TEST_MPFI_50
// Note that testing this with mpfi is in the "too difficult" drawer at present.
std::cout << neg_zero_test << std::endl;
BOOST_CHECK_EQUAL(neg_zero_test, 0);
BOOST_CHECK((::boost::math::sign)(neg_zero_test) == 0);
// We got -INF, so we have a signed zero:
BOOST_CHECK((::boost::math::signbit)(neg_zero_test) > 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::changesign(zero)) > 0);
BOOST_CHECK_EQUAL(boost::math::changesign(zero), 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::changesign(neg_zero_test)) == 0);
BOOST_CHECK_EQUAL(boost::math::changesign(neg_zero_test), 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(zero, one)) == 0);
BOOST_CHECK_EQUAL(boost::math::copysign(zero, one), 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(zero, minus_one)) > 0);
BOOST_CHECK_EQUAL(boost::math::copysign(zero, minus_one), 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(neg_zero_test, one)) == 0);
BOOST_CHECK_EQUAL(boost::math::copysign(neg_zero_test, one), 0);
BOOST_CHECK((::boost::math::signbit)(boost::math::copysign(neg_zero_test, minus_one)) > 0);
BOOST_CHECK_EQUAL(boost::math::copysign(neg_zero_test, minus_one), 0);
#endif
}
}
int main()
{
BOOST_MATH_CONTROL_FP;
// start by printing some information:
#ifdef isnan
std::cout << "Platform has isnan macro." << std::endl;
#endif
#ifdef fpclassify
std::cout << "Platform has fpclassify macro." << std::endl;
#endif
#ifdef BOOST_HAS_FPCLASSIFY
std::cout << "Platform has FP_NORMAL macro." << std::endl;
#endif
std::cout << "FP_ZERO: " << (int)FP_ZERO << std::endl;
std::cout << "FP_NORMAL: " << (int)FP_NORMAL << std::endl;
std::cout << "FP_INFINITE: " << (int)FP_INFINITE << std::endl;
std::cout << "FP_NAN: " << (int)FP_NAN << std::endl;
std::cout << "FP_SUBNORMAL: " << (int)FP_SUBNORMAL << std::endl;
#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>();
#endif
#ifdef TEST_BACKEND
test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >();
#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>, long long> > >();
#endif
return boost::report_errors();
}
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