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ccmath_hypot_test.cpp
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// (C) Copyright Matt Borland 2021.
// 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 <cmath>
#include <cfloat>
#include <cstdint>
#include <limits>
#include <type_traits>
#include <boost/math/ccmath/hypot.hpp>
#include <boost/math/ccmath/isnan.hpp>
#include <boost/math/ccmath/isinf.hpp>
#include <boost/math/ccmath/sqrt.hpp>
#ifdef BOOST_HAS_FLOAT128
#include <boost/multiprecision/float128.hpp>
#endif
#if !defined(BOOST_MATH_NO_CONSTEXPR_DETECTION) && !defined(BOOST_MATH_USING_BUILTIN_CONSTANT_P)
template <typename T>
constexpr void test()
{
// Error Handling
if constexpr (std::numeric_limits<T>::has_quiet_NaN)
{
static_assert(boost::math::ccmath::isnan(boost::math::ccmath::hypot(std::numeric_limits<T>::quiet_NaN(), T(1))), "If x is NaN, NaN is returned");
static_assert(boost::math::ccmath::isnan(boost::math::ccmath::hypot(T(1), std::numeric_limits<T>::quiet_NaN())), "If y is NaN, NaN is returned");
}
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(std::numeric_limits<T>::infinity(), T(1))));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(-std::numeric_limits<T>::infinity(), T(1))));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(T(1), std::numeric_limits<T>::infinity())));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(T(1), -std::numeric_limits<T>::infinity())));
// Correct promoted types
if constexpr (!std::is_same_v<T, float>)
{
constexpr auto test_type = boost::math::ccmath::hypot(T(1), 1.0f);
static_assert(std::is_same_v<T, std::remove_cv_t<decltype(test_type)>>);
}
else
{
constexpr auto test_type = boost::math::ccmath::hypot(1.0f, 1);
static_assert(std::is_same_v<double, std::remove_cv_t<decltype(test_type)>>);
}
// Functionality
static_assert(boost::math::ccmath::hypot(T(1), T(1)) == boost::math::ccmath::sqrt(T(2)));
static_assert(boost::math::ccmath::hypot(T(-1), T(1)) == boost::math::ccmath::sqrt(T(2)));
static_assert(boost::math::ccmath::hypot(T(-1), T(-1)) == boost::math::ccmath::sqrt(T(2)));
static_assert(boost::math::ccmath::hypot(T(1), T(-1)) == boost::math::ccmath::sqrt(T(2)));
static_assert(boost::math::ccmath::hypot(T(1), T(2)) == boost::math::ccmath::sqrt(T(5)));
static_assert(boost::math::ccmath::hypot(T(2), T(2)) == boost::math::ccmath::sqrt(T(8)));
}
template <typename T>
constexpr void test_3_arg()
{
constexpr T tol = 5 * std::numeric_limits<T>::epsilon();
// Error Handling
if constexpr (std::numeric_limits<T>::has_quiet_NaN)
{
static_assert(boost::math::ccmath::isnan(boost::math::ccmath::hypot(std::numeric_limits<T>::quiet_NaN(), T(1), T(1))), "If x is NaN, NaN is returned");
static_assert(boost::math::ccmath::isnan(boost::math::ccmath::hypot(T(1), std::numeric_limits<T>::quiet_NaN(), T(1))), "If y is NaN, NaN is returned");
static_assert(boost::math::ccmath::isnan(boost::math::ccmath::hypot(T(1), T(1), std::numeric_limits<T>::quiet_NaN())), "If z is NaN, NaN is returned");
}
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(std::numeric_limits<T>::infinity(), T(1), T(1))));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(-std::numeric_limits<T>::infinity(), T(1), T(1))));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(T(1), std::numeric_limits<T>::infinity(), T(1))));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(T(1), -std::numeric_limits<T>::infinity(), T(1))));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(T(1), T(1), std::numeric_limits<T>::infinity())));
static_assert(boost::math::ccmath::isinf(boost::math::ccmath::hypot(T(1), T(1), -std::numeric_limits<T>::infinity())));
// Correct promoted types
if constexpr (!std::is_same_v<T, float>)
{
constexpr auto test_type = boost::math::ccmath::hypot(T(1), T(1), 1.0f);
static_assert(std::is_same_v<T, std::remove_cv_t<decltype(test_type)>>);
}
else
{
constexpr auto test_type = boost::math::ccmath::hypot(1.0f, 1, 1);
static_assert(std::is_same_v<double, std::remove_cv_t<decltype(test_type)>>);
}
// Functionality
static_assert(boost::math::ccmath::hypot(T(1), T(1), T(1)) == boost::math::ccmath::sqrt(T(3)));
static_assert(boost::math::ccmath::hypot(T(-1), T(1), T(1)) == boost::math::ccmath::sqrt(T(3)));
static_assert(boost::math::ccmath::hypot(T(2), T(2), T(1)) == T(3));
static_assert(boost::math::ccmath::hypot(T(2), T(-2), T(1)) == T(3));
static_assert(boost::math::ccmath::abs(boost::math::ccmath::hypot(T(1), T(2), T(3)) - boost::math::ccmath::sqrt(T(14))) < tol);
}
int main()
{
test<float>();
test<double>();
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test<long double>();
#endif
#ifdef BOOST_HAS_FLOAT128
test<boost::multiprecision::float128>();
#endif
test_3_arg<float>();
test_3_arg<double>();
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test_3_arg<long double>();
#endif
return 0;
}
#else
int main()
{
return 0;
}
#endif