Sprout/sprout/math/tanh.hpp
2014-01-08 16:48:12 +09:00

87 lines
2.6 KiB
C++

/*=============================================================================
Copyright (c) 2011-2014 Bolero MURAKAMI
https://github.com/bolero-MURAKAMI/Sprout
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
=============================================================================*/
#ifndef SPROUT_MATH_TANH_HPP
#define SPROUT_MATH_TANH_HPP
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/limits.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/isnan.hpp>
#include <sprout/math/exp.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
namespace math {
namespace detail {
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
inline SPROUT_CONSTEXPR float
builtin_tanh(float x) {
return __builtin_tanhf(x);
}
inline SPROUT_CONSTEXPR double
builtin_tanh(double x) {
return __builtin_tanh(x);
}
inline SPROUT_CONSTEXPR long double
builtin_tanh(long double x) {
return __builtin_tanhl(x);
}
#endif
template<typename T>
inline SPROUT_CONSTEXPR T
tanh_impl_2(T t, T u) {
return (t - u) / (t + u);
}
template<typename T>
inline SPROUT_CONSTEXPR T
tanh_impl_1(T t) {
return sprout::math::detail::tanh_impl_2(t, T(1) / t);
}
template<typename T>
inline SPROUT_CONSTEXPR T
tanh_impl(T x) {
return sprout::math::detail::tanh_impl_1(sprout::math::exp(x));
}
} // namespace detail
//
// tanh
//
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
tanh(FloatType x) {
return sprout::math::isnan(x) ? x
: x == sprout::numeric_limits<FloatType>::infinity() ? FloatType(1)
: x == -sprout::numeric_limits<FloatType>::infinity() ? FloatType(-1)
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: sprout::math::detail::builtin_tanh(x)
#else
: x == 0 ? x
: static_cast<FloatType>(sprout::math::detail::tanh_impl(static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)))
#endif
;
}
template<
typename IntType,
typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR double
tanh(IntType x) {
return sprout::math::tanh(static_cast<double>(x));
}
} // namespace math
using sprout::math::tanh;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_TANH_HPP