mirror of
https://github.com/bolero-MURAKAMI/Sprout
synced 2024-11-12 21:09:01 +00:00
78 lines
2.4 KiB
C++
78 lines
2.4 KiB
C++
/*=============================================================================
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Copyright (c) 2011-2014 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_ACOSH_HPP
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#define SPROUT_MATH_ACOSH_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/log.hpp>
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#include <sprout/math/sqrt.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_acosh(float x) {
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return __builtin_acoshf(x);
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}
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inline SPROUT_CONSTEXPR double
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builtin_acosh(double x) {
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return __builtin_acosh(x);
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}
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inline SPROUT_CONSTEXPR long double
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builtin_acosh(long double x) {
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return __builtin_acoshl(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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acosh_impl(T x) {
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return sprout::math::log(x + sprout::math::sqrt(x * x - 1));
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}
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} // namespace detail
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//
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// acosh
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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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acosh(FloatType x) {
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return sprout::math::isnan(x) ? x
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: x < 1 ? -sprout::numeric_limits<FloatType>::quiet_NaN()
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: x == sprout::numeric_limits<FloatType>::infinity() ? sprout::numeric_limits<FloatType>::infinity()
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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: sprout::math::detail::builtin_acosh(x)
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#else
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: x == 1 ? FloatType(0)
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: static_cast<FloatType>(sprout::math::detail::acosh_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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acosh(IntType x) {
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return sprout::math::acosh(static_cast<double>(x));
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}
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} // namespace math
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using sprout::math::acosh;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_ACOSH_HPP
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