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131 lines
5.0 KiB
C++
131 lines
5.0 KiB
C++
// (C) Copyright John Maddock 2005.
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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_light.hpp>
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#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
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#define BOOST_TEST_MAIN
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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 <boost/math/special_functions/math_fwd.hpp>
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#include <cmath>
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#ifdef BOOST_NO_STDC_NAMESPACE
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namespace std{ using ::sqrt; }
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#endif
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//
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// test_boundaries:
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// This is an accuracy test, sets the two arguments to hypot to just
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// above or just below various boundary conditions, and checks the accuracy
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// of the result. The values computed at double precision will use a
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// different computation method to those computed at float precision:
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// as long as these compute the same values then everything's OK.
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//
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// Tolerance is 2*epsilon, expressed here as a persentage:
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//
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static const float tolerance = 200 * (std::numeric_limits<float>::epsilon)();
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const float boundaries[] = {
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0,
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1,
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2,
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(std::numeric_limits<float>::max)()/2,
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(std::numeric_limits<float>::min)(),
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std::numeric_limits<float>::epsilon(),
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std::sqrt((std::numeric_limits<float>::max)()) / 2,
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std::sqrt((std::numeric_limits<float>::min)()),
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std::sqrt((std::numeric_limits<float>::max)()) / 4,
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std::sqrt((std::numeric_limits<float>::min)()) * 2,
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};
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void do_test_boundaries(float x, float y)
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{
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float expected = static_cast<float>((boost::math::hypot)(
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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static_cast<long double>(x),
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static_cast<long double>(y)));
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#else
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static_cast<double>(x),
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static_cast<double>(y)));
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#endif
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float found = (boost::math::hypot)(x, y);
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BOOST_CHECK_CLOSE(expected, found, tolerance);
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}
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void test_boundaries(float x, float y)
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{
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do_test_boundaries(x, y);
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do_test_boundaries(-x, y);
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do_test_boundaries(-x, -y);
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do_test_boundaries(x, -y);
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}
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void test_boundaries(float x)
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{
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for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
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{
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test_boundaries(x, boundaries[i]);
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test_boundaries(x, boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
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test_boundaries(x, boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
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}
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}
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void test_boundaries()
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{
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for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
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{
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test_boundaries(boundaries[i]);
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test_boundaries(boundaries[i] + std::numeric_limits<float>::epsilon()*boundaries[i]);
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test_boundaries(boundaries[i] - std::numeric_limits<float>::epsilon()*boundaries[i]);
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}
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}
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void test_spots()
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{
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static const float zero = 0;
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for(unsigned i = 0; i < sizeof(boundaries)/sizeof(float); ++i)
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{
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BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], zero), std::fabs(boundaries[i]));
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BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], zero), std::fabs(-boundaries[i]));
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BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], -zero), std::fabs(boundaries[i]));
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BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -zero), std::fabs(-boundaries[i]));
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for(unsigned j = 0; j < sizeof(boundaries)/sizeof(float); ++j)
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{
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BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], boundaries[j]), boost::math::hypot(boundaries[j], boundaries[i]));
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BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[i], boundaries[j]), boost::math::hypot(boundaries[i], -boundaries[j]));
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BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -boundaries[j]), boost::math::hypot(-boundaries[j], -boundaries[i]));
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BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[i], -boundaries[j]), boost::math::hypot(-boundaries[i], boundaries[j]));
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}
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}
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if((std::numeric_limits<float>::has_infinity) && (std::numeric_limits<float>::has_quiet_NaN))
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{
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static const float nan = std::numeric_limits<float>::quiet_NaN();
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static const float inf = std::numeric_limits<float>::infinity();
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BOOST_CHECK_EQUAL(boost::math::hypot(inf, nan), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(-inf, nan), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(nan, inf), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(nan, -inf), inf);
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for(unsigned j = 0; j < sizeof(boundaries)/sizeof(float); ++j)
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{
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BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[j], inf), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[j], inf), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(inf, boundaries[j]), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(inf, -boundaries[j]), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(boundaries[j], -inf), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(-boundaries[j], -inf), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(-inf, boundaries[j]), inf);
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BOOST_CHECK_EQUAL(boost::math::hypot(-inf, -boundaries[j]), inf);
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}
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}
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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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test_boundaries();
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test_spots();
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}
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