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// (C) Copyright John Maddock 2005-2021.
// (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)
#ifndef BOOST_MATH_CCMATH_HYPOT_HPP
#define BOOST_MATH_CCMATH_HYPOT_HPP
#include <boost/math/ccmath/detail/config.hpp>
#ifdef BOOST_MATH_NO_CCMATH
#error "The header <boost/math/hypot.hpp> can only be used in C++17 and later."
#endif
#include <array>
#include <boost/math/tools/config.hpp>
#include <boost/math/tools/promotion.hpp>
#include <boost/math/ccmath/sqrt.hpp>
#include <boost/math/ccmath/abs.hpp>
#include <boost/math/ccmath/isinf.hpp>
#include <boost/math/ccmath/isnan.hpp>
#include <boost/math/ccmath/detail/swap.hpp>
namespace boost::math::ccmath {
namespace detail {
template <typename T>
constexpr T hypot_impl(T x, T y) noexcept
{
x = boost::math::ccmath::abs(x);
y = boost::math::ccmath::abs(y);
if (y > x)
{
boost::math::ccmath::detail::swap(x, y);
}
if(x * std::numeric_limits<T>::epsilon() >= y)
{
return x;
}
T rat = y / x;
return x * boost::math::ccmath::sqrt(1 + rat * rat);
}
} // Namespace detail
template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
constexpr Real hypot(Real x, Real y) noexcept
{
if(BOOST_MATH_IS_CONSTANT_EVALUATED(x))
{
if (boost::math::ccmath::abs(x) == static_cast<Real>(0))
{
return boost::math::ccmath::abs(y);
}
else if (boost::math::ccmath::abs(y) == static_cast<Real>(0))
{
return boost::math::ccmath::abs(x);
}
// Return +inf even if the other argument is NaN
else if (boost::math::ccmath::isinf(x) || boost::math::ccmath::isinf(y))
{
return std::numeric_limits<Real>::infinity();
}
else if (boost::math::ccmath::isnan(x))
{
return x;
}
else if (boost::math::ccmath::isnan(y))
{
return y;
}
return boost::math::ccmath::detail::hypot_impl(x, y);
}
else
{
using std::hypot;
return hypot(x, y);
}
}
template <typename T1, typename T2>
constexpr auto hypot(T1 x, T2 y) noexcept
{
if(BOOST_MATH_IS_CONSTANT_EVALUATED(x))
{
using promoted_type = boost::math::tools::promote_args_t<T1, T2>;
return boost::math::ccmath::hypot(static_cast<promoted_type>(x), static_cast<promoted_type>(y));
}
else
{
using std::hypot;
return hypot(x, y);
}
}
constexpr float hypotf(float x, float y) noexcept
{
return boost::math::ccmath::hypot(x, y);
}
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
constexpr long double hypotl(long double x, long double y) noexcept
{
return boost::math::ccmath::hypot(x, y);
}
#endif
} // Namespaces
#endif // BOOST_MATH_CCMATH_HYPOT_HPP
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