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fix math functions

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This commit is contained in:
bolero-MURAKAMI 2013-05-06 00:22:08 +09:00
parent fccb16687b
commit 7794e56192
27 changed files with 342 additions and 102 deletions
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69
sprout/math/pow.hpp
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@ -5,45 +5,67 @@
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/constants.hpp>
#include <sprout/math/isnan.hpp>
#include <sprout/math/copysign.hpp>
#include <sprout/math/fabs.hpp>
#include <sprout/math/exp.hpp>
#include <sprout/math/log.hpp>
#include <sprout/math/constants.hpp>
#include <sprout/math/is_integer.hpp>
#include <sprout/math/is_odd.hpp>
#include <sprout/type_traits/float_promote.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
namespace math {
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
pow_impl(T x, T y) {
return sprout::math::exp(y * sprout::math::log(x));
}
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)
return x == 1 ? FloatType(1)
: y == 0 ? FloatType(1)
: sprout::math::isnan(y) ? y
: sprout::math::isnan(x) ? x
: x == 0
? y < 0
? sprout::math::is_odd(y) ? sprout::math::copysign(std::numeric_limits<FloatType>::infinity(), x)
: std::numeric_limits<FloatType>::infinity()
: sprout::math::is_odd(y) ? x
: FloatType(0)
: x == -1 && (y == std::numeric_limits<FloatType>::infinity() || y == -std::numeric_limits<FloatType>::infinity()) ? 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))
? sprout::math::fabs(x) < 1 ? std::numeric_limits<FloatType>::infinity()
: FloatType(0)
: 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))
? sprout::math::fabs(x) < 1 ? FloatType(0)
: std::numeric_limits<FloatType>::infinity()
: 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))
? y < 0
? sprout::math::is_odd(y) ? -FloatType(0)
: FloatType(0)
: sprout::math::is_odd(y) ? -std::numeric_limits<FloatType>::infinity()
: std::numeric_limits<FloatType>::infinity()
: 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))
: std::numeric_limits<FloatType>::infinity()
: x < 0 && !sprout::math::is_integer(y) ? std::numeric_limits<FloatType>::quiet_NaN()
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::pow(x, y)
#else
: static_cast<FloatType>(sprout::math::detail::pow_impl(
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x),
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(y)
))
#endif
;
}
@ -60,8 +82,13 @@ namespace sprout {
return sprout::math::detail::pow(static_cast<type>(x), static_cast<type>(y));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::pow;
//
// issue:
// [ !SPROUT_USE_BUILTIN_CMATH_FUNCTION ]
// pow(-0, y) returns -<2D>‡ for y an odd integer < 0.
// # returns +<2B>‡ . ( same as pow(+0, y) )
//
using sprout::math::detail::pow;
} // namespace math
using sprout::math::pow;