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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 <boost/math/ccmath/detail/config.hpp> #ifdef BOOST_MATH_NO_CCMATH #error "The header <boost/math/remainder.hpp> can only be used in C++17 and later." #endif #include <cstdint> #include <boost/math/tools/promotion.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