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Sprout/sprout/math/acosh.hpp
bolero-MURAKAMI 32c3ba02d4 add math::copysign
fix hyperbolic and exponental functions: for special values
2013-04-24 22:48:36 +09:00

64 lines
1.9 KiB
C++

#ifndef SPROUT_MATH_ACOSH_HPP
#define SPROUT_MATH_ACOSH_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/log.hpp>
#include <sprout/math/sqrt.hpp>
#include <sprout/type_traits/enabler_if.hpp>
#include <sprout/type_traits/float_promote.hpp>
namespace sprout {
namespace math {
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
acosh_impl(T x) {
return sprout::math::log(x + sprout::math::sqrt(x * x - 1));
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
acosh(FloatType x) {
return x < 1 ? std::numeric_limits<FloatType>::quiet_NaN()
: x == std::numeric_limits<FloatType>::infinity() ? std::numeric_limits<FloatType>::infinity()
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::acosh(x)
#else
: x == 1 ? FloatType(0)
: static_cast<FloatType>(sprout::math::detail::acosh_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
acosh(IntType x) {
return sprout::math::detail::acosh(static_cast<double>(x));
}
} // namespace detail
//
// acosh
//
template<
typename ArithmeticType,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
acosh(ArithmeticType x) {
return sprout::math::detail::acosh(x);
}
} // namespace math
using sprout::math::acosh;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_ACOSH_HPP