Sprout/sprout/math/tanh.hpp

#ifndef SPROUT_MATH_TANH_HPP
#define SPROUT_MATH_TANH_HPP

#include <limits>
#include <type_traits>
#include <sprout/config.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 {
			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));
			}

			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 == std::numeric_limits<FloatType>::infinity() ? FloatType(1)
					: x == -std::numeric_limits<FloatType>::infinity() ? FloatType(-1)
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
					: std::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::detail::tanh(static_cast<double>(x));
			}
		}	// namespace detail

		using sprout::math::detail::tanh;
	}	// namespace math

	using sprout::math::tanh;
}	// namespace sprout

#endif	// #ifndef SPROUT_MATH_TANH_HPP