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311 lines
12 KiB
C++
311 lines
12 KiB
C++
// Copyright John Maddock 2006.
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// Copyright Paul A. Bristow 2007
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include <pch.hpp>
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#include <cmath>
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#include <math.h>
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#include <boost/limits.hpp>
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#include <boost/math/concepts/real_concept.hpp>
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#include <boost/math/special_functions/fpclassify.hpp>
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#define BOOST_TEST_MAIN
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#include <boost/test/unit_test.hpp>
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#include <iostream>
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#include <iomanip>
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#ifdef _MSC_VER
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#pragma warning(disable: 4127 4146) // conditional expression is constant
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#endif
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const char* method_name(const boost::math::detail::native_tag&)
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{
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return "Native";
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}
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const char* method_name(const boost::math::detail::generic_tag<true>&)
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{
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return "Generic (with numeric limits)";
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}
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const char* method_name(const boost::math::detail::generic_tag<false>&)
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{
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return "Generic (without numeric limits)";
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}
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const char* method_name(const boost::math::detail::ieee_tag&)
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{
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return "IEEE std";
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}
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const char* method_name(const boost::math::detail::ieee_copy_all_bits_tag&)
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{
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return "IEEE std, copy all bits";
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}
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const char* method_name(const boost::math::detail::ieee_copy_leading_bits_tag&)
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{
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return "IEEE std, copy leading bits";
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}
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template <class T>
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void test_classify(T t, const char* type)
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{
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std::cout << "Testing type " << type << std::endl;
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typedef typename boost::math::detail::fp_traits<T>::type traits;
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typedef typename traits::method method;
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std::cout << "Evaluation method = " << method_name(method()) << std::endl;
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t = 2;
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T u = 2;
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
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if(std::numeric_limits<T>::is_specialized)
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{
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t = (std::numeric_limits<T>::max)();
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
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t = (std::numeric_limits<T>::min)();
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if(t != 0)
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{
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NORMAL);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NORMAL);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), true);
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}
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}
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if(std::numeric_limits<T>::has_denorm)
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{
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t = (std::numeric_limits<T>::min)();
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t /= 2;
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if(t != 0)
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{
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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}
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t = std::numeric_limits<T>::denorm_min();
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if((t != 0) && (t < (std::numeric_limits<T>::min)()))
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{
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_SUBNORMAL);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_SUBNORMAL);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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}
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}
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else
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{
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std::cout << "Denormalised forms not tested" << std::endl;
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}
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t = 0;
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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t /= -u; // create minus zero if it exists
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_ZERO);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_ZERO);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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// infinity:
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if(std::numeric_limits<T>::has_infinity)
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{
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// At least one std::numeric_limits<T>::infinity)() returns zero
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// (Compaq true64 cxx), hence the check.
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t = (std::numeric_limits<T>::infinity)();
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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#if !defined(__BORLANDC__) && !(defined(__DECCXX) && !defined(_IEEE_FP))
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// divide by zero on Borland triggers a C++ exception :-(
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// divide by zero on Compaq CXX triggers a C style signal :-(
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t = 2;
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u = 0;
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t /= u;
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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t = -2;
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t /= u;
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_INFINITE);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_INFINITE);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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#else
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std::cout << "Infinities from divide by zero not tested" << std::endl;
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#endif
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}
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else
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{
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std::cout << "Infinity not tested" << std::endl;
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}
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#ifndef __BORLANDC__
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// NaN's:
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// Note that Borland throws an exception if we even try to obtain a Nan
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// by calling std::numeric_limits<T>::quiet_NaN() !!!!!!!
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if(std::numeric_limits<T>::has_quiet_NaN)
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{
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t = std::numeric_limits<T>::quiet_NaN();
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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}
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else
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{
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std::cout << "Quiet NaN's not tested" << std::endl;
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}
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if(std::numeric_limits<T>::has_signaling_NaN)
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{
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t = std::numeric_limits<T>::signaling_NaN();
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(t), (int)FP_NAN);
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BOOST_CHECK_EQUAL((::boost::math::fpclassify)(-t), (int)FP_NAN);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isfinite)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isinf)(-t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnan)(-t), true);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(t), false);
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BOOST_CHECK_EQUAL((::boost::math::isnormal)(-t), false);
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}
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else
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{
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std::cout << "Signaling NaN's not tested" << std::endl;
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}
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#endif
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}
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BOOST_AUTO_TEST_CASE( test_main )
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{
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BOOST_MATH_CONTROL_FP;
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// start by printing some information:
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#ifdef isnan
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std::cout << "Platform has isnan macro." << std::endl;
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#endif
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#ifdef fpclassify
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std::cout << "Platform has fpclassify macro." << std::endl;
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#endif
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#ifdef BOOST_HAS_FPCLASSIFY
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std::cout << "Platform has FP_NORMAL macro." << std::endl;
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#endif
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std::cout << "FP_ZERO: " << (int)FP_ZERO << std::endl;
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std::cout << "FP_NORMAL: " << (int)FP_NORMAL << std::endl;
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std::cout << "FP_INFINITE: " << (int)FP_INFINITE << std::endl;
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std::cout << "FP_NAN: " << (int)FP_NAN << std::endl;
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std::cout << "FP_SUBNORMAL: " << (int)FP_SUBNORMAL << std::endl;
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// then run the tests:
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test_classify(float(0), "float");
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test_classify(double(0), "double");
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// long double support for fpclassify is considered "core" so we always test it
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// even when long double support is turned off via BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_classify((long double)(0), "long double");
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test_classify((boost::math::concepts::real_concept)(0), "real_concept");
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// We should test with integer types as well:
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test_classify(int(0), "int");
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test_classify(unsigned(0), "unsigned");
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}
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/*
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Autorun "i:\Boost-sandbox\math_toolkit\libs\math\test\MSVC80\debug\test_classify.exe"
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Running 1 test case...
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FP_ZERO: 0
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FP_NORMAL: 1
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FP_INFINITE: 2
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FP_NAN: 3
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FP_SUBNORMAL: 4
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Testing type float
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Testing type double
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Testing type long double
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Testing type real_concept
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Denormalised forms not tested
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Infinity not tested
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Quiet NaN's not tested
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Signaling NaN's not tested
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Test suite "Test Program" passed with:
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79 assertions out of 79 passed
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1 test case out of 1 passed
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Test case "test_main_caller( argc, argv )" passed with:
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79 assertions out of 79 passed
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*/
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