remainder.hpp
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// (C) Copyright Matt Borland 2021 - 2022.
// 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_REMAINDER_HPP
#define BOOST_MATH_CCMATH_REMAINDER_HPP
#include <cmath>
#include <cstdint>
#include <limits>
#include <type_traits>
#include <boost/math/tools/promotion.hpp>
#include <boost/math/tools/is_constant_evaluated.hpp>
#include <boost/math/ccmath/abs.hpp>
#include <boost/math/ccmath/isinf.hpp>
#include <boost/math/ccmath/isnan.hpp>
#include <boost/math/ccmath/isfinite.hpp>
#include <boost/math/ccmath/modf.hpp>
namespace boost::math::ccmath {
namespace detail {
template <typename T>
constexpr T remainder_impl(const T x, const T y)
{
T n = 0;
if (T fractional_part = boost::math::ccmath::modf((x / y), &n); fractional_part > static_cast<T>(1.0/2))
{
++n;
}
else if (fractional_part < static_cast<T>(-1.0/2))
{
--n;
}
return x - n*y;
}
} // Namespace detail
template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
constexpr Real remainder(Real x, Real y)
{
if (BOOST_MATH_IS_CONSTANT_EVALUATED(x))
{
if (boost::math::ccmath::isinf(x) && !boost::math::ccmath::isnan(y))
{
return std::numeric_limits<Real>::quiet_NaN();
}
else if (boost::math::ccmath::abs(y) == static_cast<Real>(0) && !boost::math::ccmath::isnan(x))
{
return std::numeric_limits<Real>::quiet_NaN();
}
else if (boost::math::ccmath::isnan(x))
{
return x;
}
else if (boost::math::ccmath::isnan(y))
{
return y;
}
return boost::math::ccmath::detail::remainder_impl(x, y);
}
else
{
using std::remainder;
return remainder(x, y);
}
}
template <typename T1, typename T2>
constexpr auto remainder(T1 x, T2 y)
{
if (BOOST_MATH_IS_CONSTANT_EVALUATED(x))
{
using promoted_type = boost::math::tools::promote_args_t<T1, T2>;
return boost::math::ccmath::remainder(promoted_type(x), promoted_type(y));
}
else
{
using std::remainder;
return remainder(x, y);
}
}
constexpr float remainderf(float x, float y)
{
return boost::math::ccmath::remainder(x, y);
}
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
constexpr long double remainderl(long double x, long double y)
{
return boost::math::ccmath::remainder(x, y);
}
#endif
} // Namespaces
#endif // BOOST_MATH_CCMATH_REMAINDER_HPP