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Sprout/sprout/math/sinh.hpp
2012-12-08 13:45:09 +09:00

56 lines
1.6 KiB
C++

#ifndef SPROUT_MATH_SINH_HPP
#define SPROUT_MATH_SINH_HPP
#include <cstddef>
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/detail/pow.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/factorial.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
namespace math {
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
sinh_impl(T x, std::size_t n, std::size_t last) {
return last - n == 1
? sprout::detail::pow_n(x, 2 * n + 1) / sprout::math::factorial<T>(2 * n + 1)
: sprout::math::detail::sinh_impl(x, n, n + (last - n) / 2)
+ sprout::math::detail::sinh_impl(x, n + (last - n) / 2, last)
;
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
sinh(FloatType x) {
typedef double type;
return static_cast<FloatType>(
static_cast<type>(x) + sprout::math::detail::sinh_impl(
static_cast<type>(x),
1, (sprout::math::factorial_limit<type>() - 1) / 2 + 1
)
);
}
template<
typename IntType,
typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR double
sinh(IntType x) {
return sprout::math::detail::sinh(static_cast<double>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::sinh;
} // namespace math
using sprout::math::sinh;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_SINH_HPP