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

70 lines
2.6 KiB
C++

#ifndef SPROUT_MATH_POW_HPP
#define SPROUT_MATH_POW_HPP
#include <limits>
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/exp.hpp>
#include <sprout/math/log.hpp>
#include <sprout/math/constants.hpp>
#include <sprout/type_traits/float_promote.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
namespace math {
namespace detail {
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
pow(FloatType x, FloatType y) {
return x == 0
? y < 0 ? std::numeric_limits<FloatType>::infinity()
: y > 0 ? FloatType(0)
: sprout::math::exp(y * sprout::math::log(x))
: x == -1 && (y == std::numeric_limits<FloatType>::infinity() || y == -std::numeric_limits<FloatType>::infinity()) ? FloatType(1)
: x == 1 ? FloatType(1)
: y == 0 ? FloatType(1)
: y == -std::numeric_limits<FloatType>::infinity()
? x < 1 && x > -1 ? std::numeric_limits<FloatType>::infinity()
: x > 1 || x < -1 ? FloatType(0)
: sprout::math::exp(y * sprout::math::log(x))
: y == std::numeric_limits<FloatType>::infinity()
? x < 1 && x > -1 ? FloatType(0)
: x > 1 || x < -1 ? std::numeric_limits<FloatType>::infinity()
: sprout::math::exp(y * sprout::math::log(x))
: x == -std::numeric_limits<FloatType>::infinity()
? y < 0 ? FloatType(0)
: y > 0 ? std::numeric_limits<FloatType>::infinity()
: sprout::math::exp(y * sprout::math::log(x))
: x == std::numeric_limits<FloatType>::infinity()
? y < 0 ? FloatType(0)
: y > 0 ? std::numeric_limits<FloatType>::infinity()
: sprout::math::exp(y * sprout::math::log(x))
: sprout::math::exp(y * sprout::math::log(x))
;
}
template<
typename ArithmeticType1,
typename ArithmeticType2,
typename sprout::enabler_if<
std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value
>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type
pow(ArithmeticType1 x, ArithmeticType2 y) {
typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
return sprout::math::detail::pow(static_cast<type>(x), static_cast<type>(y));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::pow;
} // namespace math
using sprout::math::pow;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_POW_HPP