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math/test/test_classify.cpp

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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)
#include <pch.hpp>
#include <cmath>
#include <math.h>
#include <boost/limits.hpp>
#include <boost/math/concepts/real_concept.hpp>
#include <boost/math/special_functions/fpclassify.hpp>
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <iostream>
#include <iomanip>
#ifdef _MSC_VER
#pragma warning(disable: 4127 4146) // 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_classify(T t, const char* type)
{
std::cout << "Testing type " << type << std::endl;
typedef typename boost::math::detail::fp_traits<T>::type traits;
typedef typename traits::method method;
std::cout << "Evaluation method = " << method_name(method()) << std::endl;
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);
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);
t = (std::numeric_limits<T>::min)();
if(t != 0)
{
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
if(!std::numeric_limits<T>::is_integer)
{
BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
}
}
}
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);
}
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);
}
}
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);
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);
// 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);
#if !defined(__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);
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);
#else
std::cout << "Infinities from divide by zero not tested" << std::endl;
#endif
}
else
{
std::cout << "Infinity not tested" << std::endl;
}
#ifndef __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
}
BOOST_AUTO_TEST_CASE( test_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;
// then run the tests:
test_classify(float(0), "float");
test_classify(double(0), "double");
// long double support for fpclassify is considered "core" so we always test it
// even when long double support is turned off via BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_classify((long double)(0), "long double");
test_classify((boost::math::concepts::real_concept)(0), "real_concept");
// We should test with integer types as well:
test_classify(int(0), "int");
test_classify(unsigned(0), "unsigned");
}
/*
Autorun "i:\Boost-sandbox\math_toolkit\libs\math\test\MSVC80\debug\test_classify.exe"
Running 1 test case...
FP_ZERO: 0
FP_NORMAL: 1
FP_INFINITE: 2
FP_NAN: 3
FP_SUBNORMAL: 4
Testing type float
Testing type double
Testing type long double
Testing type real_concept
Denormalised forms not tested
Infinity not tested
Quiet NaN's not tested
Signaling NaN's not tested
Test suite "Test Program" passed with:
79 assertions out of 79 passed
1 test case out of 1 passed
Test case "test_main_caller( argc, argv )" passed with:
79 assertions out of 79 passed
*/
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