mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
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86 lines
3 KiB
C++
86 lines
3 KiB
C++
/*=============================================================================
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Copyright (c) 2011-2015 Bolero MURAKAMI
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https://github.com/bolero-MURAKAMI/Sprout
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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=============================================================================*/
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#ifndef SPROUT_MATH_FMA_HPP
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#define SPROUT_MATH_FMA_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/isnan.hpp>
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#include <sprout/math/isinf.hpp>
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#include <sprout/math/signbit.hpp>
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#include <sprout/type_traits/float_promote.hpp>
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#include <sprout/type_traits/enabler_if.hpp>
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namespace sprout {
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namespace math {
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namespace detail {
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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inline SPROUT_CONSTEXPR float
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builtin_fma(float x, float y, float z) {
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return __builtin_fmaf(x, y, z);
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}
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inline SPROUT_CONSTEXPR double
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builtin_fma(double x, double y, double z) {
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return __builtin_fma(x, y, z);
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}
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inline SPROUT_CONSTEXPR long double
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builtin_fma(long double x, long double y, long double z) {
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return __builtin_fmal(x, y, z);
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}
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#endif
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} // namespace detail
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//
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// fma
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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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fma(FloatType x, FloatType y, FloatType z) {
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return sprout::math::isnan(x) ? x
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: sprout::math::isnan(y) ? y
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: sprout::math::isnan(z) ? z
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: sprout::math::isinf(x) && y == 0 ? sprout::numeric_limits<FloatType>::quiet_NaN()
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: sprout::math::isinf(y) && x == 0 ? sprout::numeric_limits<FloatType>::quiet_NaN()
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: (sprout::math::isinf(x) || sprout::math::isinf(y)) && sprout::math::isinf(z) && (sprout::math::signbit(x) ^ sprout::math::signbit(y) ^ sprout::math::signbit(z))
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? sprout::numeric_limits<FloatType>::quiet_NaN()
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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: sprout::math::detail::builtin_fma(x, y, z)
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#else
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: x * y + z
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#endif
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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 ArithmeticType3,
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typename sprout::enabler_if<
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std::is_arithmetic<ArithmeticType1>::value
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&& std::is_arithmetic<ArithmeticType2>::value
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&& std::is_arithmetic<ArithmeticType3>::value
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>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR typename sprout::float_promote<
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ArithmeticType1, ArithmeticType2, ArithmeticType3
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>::type
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fma(ArithmeticType1 x, ArithmeticType2 y, ArithmeticType3 z) {
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typedef typename sprout::float_promote<
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ArithmeticType1, ArithmeticType2, ArithmeticType3
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>::type type;
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return sprout::math::fma(static_cast<type>(x), static_cast<type>(y), static_cast<type>(z));
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}
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} // namespace math
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using sprout::math::fma;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_FMA_HPP
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