mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
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105 lines
3.6 KiB
C++
105 lines
3.6 KiB
C++
/*=============================================================================
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Copyright (c) 2011-2013 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_HYPOT_HPP
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#define SPROUT_MATH_HYPOT_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/sqrt.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_hypot(float x, float y) {
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return __builtin_hypotf(x, y);
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}
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inline SPROUT_CONSTEXPR double
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builtin_hypot(double x, double y) {
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return __builtin_hypot(x, y);
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}
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inline SPROUT_CONSTEXPR long double
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builtin_hypot(long double x, long double y) {
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return __builtin_hypotl(x, y);
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}
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#endif
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template<typename T>
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inline SPROUT_CONSTEXPR T
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hypot_impl_2(T t, T w) {
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return t * sprout::math::sqrt(T(1) + w * w);
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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hypot_impl_1(T x, T y) {
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return x < y
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? sprout::math::detail::hypot_impl_2(y, x / y)
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: sprout::math::detail::hypot_impl_2(x, y / x)
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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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hypot_impl(T x, T y) {
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return sprout::math::detail::hypot_impl_1(sprout::math::fabs(x), sprout::math::fabs(y));
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}
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} // namespace detail
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//
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// hypot
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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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hypot(FloatType x, FloatType y) {
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return y == sprout::numeric_limits<FloatType>::infinity() || y == -sprout::numeric_limits<FloatType>::infinity()
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? sprout::numeric_limits<FloatType>::infinity()
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: x == sprout::numeric_limits<FloatType>::infinity() || x == -sprout::numeric_limits<FloatType>::infinity()
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? sprout::numeric_limits<FloatType>::infinity()
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: sprout::math::isnan(y) ? y
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: sprout::math::isnan(x) ? x
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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: sprout::math::detail::builtin_hypot(x, y)
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#else
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: y == 0 ? sprout::math::fabs(x)
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: x == 0 ? sprout::math::fabs(y)
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: static_cast<FloatType>(sprout::math::detail::hypot_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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#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 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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hypot(ArithmeticType1 x, ArithmeticType2 y) {
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typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
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return sprout::math::hypot(static_cast<type>(x), static_cast<type>(y));
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}
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} // namespace math
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using sprout::math::hypot;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_HYPOT_HPP
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