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158 lines
6.4 KiB
C++
158 lines
6.4 KiB
C++
#define BOOST_TEST_MAIN// Copyright John Maddock 2008
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// (C) Copyright Paul A. Bristow 2011 (added tests for changesign)
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0.
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// (See accompanying file LICENSE_1_0.txt
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// or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include <boost/math/concepts/real_concept.hpp> // for real_concept
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#include <boost/math/special_functions/sign.hpp>
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#define BOOST_TEST_MAIN
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#include <boost/test/unit_test.hpp> // Boost.Test
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#include <boost/test/results_collector.hpp>
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#include <boost/test/unit_test.hpp>
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#include <boost/test/floating_point_comparison.hpp>
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#include <iostream>
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using std::cout;
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using std::endl;
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using std::setprecision;
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template <class RealType>
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void test_spots(RealType /*T*/, const char* /*type_name*/)
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{
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// Basic sanity checks.
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RealType a = 0;
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RealType b = 1;
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RealType c = -1;
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BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 0);
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BOOST_CHECK_EQUAL((boost::math::changesign)(b), RealType(-1));
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BOOST_CHECK_EQUAL((boost::math::changesign)(c), RealType(+1));
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BOOST_CHECK_EQUAL((boost::math::changesign)(a), RealType(0));
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// Compare to formula for changsign(x) = copysign(x, signbit(x) ? 1.0 : -1.0)
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BOOST_CHECK_EQUAL((boost::math::changesign)(b),
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(boost::math::copysign)(b, (boost::math::signbit)(b) ? RealType(1.) : RealType(-1.) ));
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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a = 1;
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BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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a = -1;
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BOOST_CHECK((boost::math::signbit)(a) != 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
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a = boost::math::tools::max_value<RealType>();
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BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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a = -boost::math::tools::max_value<RealType>();
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BOOST_CHECK((boost::math::signbit)(a) != 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
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if(std::numeric_limits<RealType>::has_infinity)
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{
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a = std::numeric_limits<RealType>::infinity();
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BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a);
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a = -std::numeric_limits<RealType>::infinity();
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BOOST_CHECK((boost::math::signbit)(a) != 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
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BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a);
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}
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#if !defined(__SUNPRO_CC) && !defined(BOOST_INTEL)
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if(std::numeric_limits<RealType>::has_quiet_NaN)
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{
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a = std::numeric_limits<RealType>::quiet_NaN();
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BOOST_CHECK_EQUAL((boost::math::signbit)(a), 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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// BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a); // NaN comparison fails always!
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BOOST_CHECK((boost::math::signbit)((boost::math::changesign)(a)) != 0);
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a = -std::numeric_limits<RealType>::quiet_NaN();
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BOOST_CHECK((boost::math::signbit)(a) != 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), -1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(b, a), RealType(-1));
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(-1));
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//BOOST_CHECK_EQUAL((boost::math::changesign)(a), -a); // NaN comparison fails always!
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BOOST_CHECK_EQUAL((boost::math::signbit)((boost::math::changesign)(a)), 0);
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}
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#endif
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//
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// Try some extreme values:
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//
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a = boost::math::tools::min_value<RealType>();
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b = -a;
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c = -1;
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BOOST_CHECK((boost::math::signbit)(a) == 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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BOOST_CHECK((boost::math::signbit)(b) != 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
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c = 1;
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
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//
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// try denormalised values:
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//
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a /= 4;
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if(a != 0)
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{
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b = -a;
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c = -1;
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BOOST_CHECK((boost::math::signbit)(a) == 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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BOOST_CHECK((boost::math::signbit)(b) != 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
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c = 1;
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
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}
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a = boost::math::tools::max_value<RealType>() / 2;
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b = -a;
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c = -1;
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BOOST_CHECK((boost::math::signbit)(a) == 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(a), 1);
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, a), RealType(1));
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BOOST_CHECK((boost::math::signbit)(b) != 0);
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BOOST_CHECK_EQUAL((boost::math::sign)(b), -1);
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c = 1;
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BOOST_CHECK_EQUAL((boost::math::copysign)(c, b), RealType(-1));
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}
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BOOST_AUTO_TEST_CASE( test_main )
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{
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// Basic sanity-check spot values.
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// (Parameter value, arbitrarily zero, only communicates the floating point type).
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test_spots(0.0F, "float"); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
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test_spots(0.0, "double"); // Test double. OK at decdigits 7, tolerance = 1e07 %
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// long double support for the sign functions 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_spots(0.0L, "long double"); // Test long double.
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#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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test_spots(boost::math::concepts::real_concept(0), "real_concept"); // Test real_concept.
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#endif
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} // BOOST_AUTO_TEST_CASE( test_main )
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