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https://github.com/bolero-MURAKAMI/Sprout.git
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115 lines
4.2 KiB
C++
115 lines
4.2 KiB
C++
#ifndef SPROUT_MATH_FMOD_HPP
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#define SPROUT_MATH_FMOD_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/limits.hpp>
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#include <sprout/math/detail/config.hpp>
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#include <sprout/math/detail/float_compute.hpp>
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#include <sprout/math/isnan.hpp>
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#include <sprout/math/signbit.hpp>
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#include <sprout/math/fabs.hpp>
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#include <sprout/math/ilogb.hpp>
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#include <sprout/math/scalbn.hpp>
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#include <sprout/type_traits/enabler_if.hpp>
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#include <sprout/type_traits/float_promote.hpp>
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namespace sprout {
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namespace math {
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namespace detail {
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template<typename T>
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inline SPROUT_CONSTEXPR T
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fmod_impl_6(T x, T y, T x1) {
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return x1 >= y
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? x < 0 ? -(x1 - y) : x1 - y
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: x < 0 ? -x1 : x1
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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fmod_impl_5(T x, T y, T x1, T y1, T z, int iscy, int idiff, int i) {
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return i != idiff
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? z >= 0
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? sprout::math::detail::fmod_impl_5(x, y, z + z, y1, z + z - y1, iscy, idiff, i + 1)
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: sprout::math::detail::fmod_impl_5(x, y, x1 + x1, y1, x1 + x1 - y1, iscy, idiff, i + 1)
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: sprout::math::detail::fmod_impl_6(x, y, sprout::math::scalbn(x1, iscy))
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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fmod_impl_4(T x, T y, T x1, T y1, int iscy, int idiff, int i) {
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return sprout::math::detail::fmod_impl_5(x, y, x1, y1, x1 - y1, iscy, idiff, i);
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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fmod_impl_3(T x, T y, T x1, int iscx, int iscy, int idiff) {
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return idiff ? sprout::math::detail::fmod_impl_4(x, y, sprout::math::scalbn(x1, -iscx), sprout::math::scalbn(y, -iscy), iscy, idiff, 0)
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: sprout::math::detail::fmod_impl_6(x, y, x1)
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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fmod_impl_2(T x, T y, T x1, int iscx, int iscy) {
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return sprout::math::detail::fmod_impl_3(x, y, x1, iscx, iscy, iscx - iscy);
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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fmod_impl_1(T x, T y, T x1) {
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return y > x1 ? x
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: sprout::math::detail::fmod_impl_2(x, y, x1, sprout::math::ilogb(x1), sprout::math::ilogb(y))
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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fmod_impl(T x, T y) {
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return sprout::math::detail::fmod_impl_1(x, sprout::math::fabs(y), sprout::math::fabs(x));
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}
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template<
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typename FloatType,
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typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR FloatType
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fmod(FloatType x, FloatType y) {
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return sprout::math::isnan(y)
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? sprout::math::isnan(x)
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? sprout::math::signbit(y) || sprout::math::signbit(x) ? -sprout::numeric_limits<FloatType>::quiet_NaN()
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: sprout::numeric_limits<FloatType>::quiet_NaN()
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: y
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: sprout::math::isnan(x) ? x
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: x == sprout::numeric_limits<FloatType>::infinity() || x == -sprout::numeric_limits<FloatType>::infinity() || y == 0
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? -sprout::numeric_limits<FloatType>::quiet_NaN()
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: x == 0 ? x
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: y == sprout::numeric_limits<FloatType>::infinity() || y == -sprout::numeric_limits<FloatType>::infinity() ? x
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: static_cast<FloatType>(sprout::math::detail::fmod_impl(
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static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x),
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static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(y)
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))
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;
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}
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template<
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typename ArithmeticType1,
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typename ArithmeticType2,
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typename sprout::enabler_if<
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std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value
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>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type
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fmod(ArithmeticType1 x, ArithmeticType2 y) {
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typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
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return sprout::math::detail::fmod(static_cast<type>(x), static_cast<type>(y));
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}
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} // namespace detail
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//
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// issue:
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// fmod(-NaN, -NaN) returns -NaN .
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// # returns +NaN . ( same as fmod(+NaN, +NaN) )
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//
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using sprout::math::detail::fmod;
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} // namespace math
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using sprout::math::fmod;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_FMOD_HPP
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