mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
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88 lines
2.7 KiB
C++
88 lines
2.7 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_SQRT_HPP
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#define SPROUT_MATH_SQRT_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/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_sqrt(float x) {
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return __builtin_sqrtf(x);
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}
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inline SPROUT_CONSTEXPR double
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builtin_sqrt(double x) {
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return __builtin_sqrt(x);
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}
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inline SPROUT_CONSTEXPR long double
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builtin_sqrt(long double x) {
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return __builtin_sqrtl(x);
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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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sqrt_impl_2(T x, T s, T s2) {
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return !(s < s2) ? s2
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: sprout::math::detail::sqrt_impl_2(x, (x / s + s) / 2, s)
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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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sqrt_impl_1(T x, T s) {
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return sprout::math::detail::sqrt_impl_2(x, (x / s + s) / 2, s);
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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sqrt_impl(T x) {
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return sprout::math::detail::sqrt_impl_1(x, x > 1 ? x : T(1));
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}
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} // namespace detail
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//
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// sqrt
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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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sqrt(FloatType x) {
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return sprout::math::isnan(x) ? x
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: x == sprout::numeric_limits<FloatType>::infinity() ? sprout::numeric_limits<FloatType>::infinity()
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: x < 0 ? -sprout::numeric_limits<FloatType>::quiet_NaN()
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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: sprout::math::detail::builtin_sqrt(x)
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#else
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: x == 0 ? x
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: static_cast<FloatType>(sprout::math::detail::sqrt_impl(static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)))
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#endif
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;
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}
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template<
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typename IntType,
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typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR double
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sqrt(IntType x) {
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return sprout::math::sqrt(static_cast<double>(x));
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}
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} // namespace math
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using sprout::math::sqrt;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_SQRT_HPP
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