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fix exponential functions

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This commit is contained in:
bolero-MURAKAMI 2013-04-25 15:36:19 +09:00
parent 32c3ba02d4
commit dad3acceea
41 changed files with 180 additions and 354 deletions
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67
sprout/math/logb.hpp
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@ -5,20 +5,22 @@
#include <limits>
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/detail/pow.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/log_a.hpp>
#include <sprout/math/trunc.hpp>
#include <sprout/math/itrunc.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
logb_impl_2_neg_lo(T x, T x0, T base, T exp) {
return base < 1 ? sprout::math::detail::logb_impl_2_neg_lo(
logb_impl_3_neg_lo(T x, T x0, T base, T exp) {
return base < 1 ? sprout::math::detail::logb_impl_3_neg_lo(
x, x0 * std::numeric_limits<T>::radix, x / (x0 / std::numeric_limits<T>::radix), exp - 1
)
: exp
@ -26,8 +28,8 @@ namespace sprout {
}
template<typename T>
inline SPROUT_CONSTEXPR T
logb_impl_2_neg_hi(T x, T x0, T base, T exp) {
return !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_2_neg_hi(
logb_impl_3_neg_hi(T x, T x0, T base, T exp) {
return !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_3_neg_hi(
x, x0 / std::numeric_limits<T>::radix, x / (x0 * std::numeric_limits<T>::radix), exp + 1
)
: exp
@ -35,8 +37,8 @@ namespace sprout {
}
template<typename T>
inline SPROUT_CONSTEXPR T
logb_impl_2_pos_lo(T x, T x0, T base, T exp) {
return base < 1 ? sprout::math::detail::logb_impl_2_pos_lo(
logb_impl_3_pos_lo(T x, T x0, T base, T exp) {
return base < 1 ? sprout::math::detail::logb_impl_3_pos_lo(
x, x0 * std::numeric_limits<T>::radix, x / (x0 / std::numeric_limits<T>::radix), exp + 1
)
: exp
@ -44,8 +46,8 @@ namespace sprout {
}
template<typename T>
inline SPROUT_CONSTEXPR T
logb_impl_2_pos_hi(T x, T x0, T base, T exp) {
return !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_2_pos_hi(
logb_impl_3_pos_hi(T x, T x0, T base, T exp) {
return !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_3_pos_hi(
x, x0 / std::numeric_limits<T>::radix, x / (x0 * std::numeric_limits<T>::radix), exp - 1
)
: exp
@ -53,36 +55,43 @@ namespace sprout {
}
template<typename T>
inline SPROUT_CONSTEXPR T
logb_impl_2(T x, T x0, T base, T exp) {
return exp < 0
? base < 1 ? sprout::math::detail::logb_impl_2_neg_lo(
logb_impl_3(T x, T x0, T base, T exp) {
return x < 1
? base < 1 ? sprout::math::detail::logb_impl_3_neg_lo(
x, x0 * std::numeric_limits<T>::radix, x / (x0 / std::numeric_limits<T>::radix), exp - 1
)
: !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_2_neg_hi(
x, x0 / std::numeric_limits<T>::radix, x / (x0 * std::numeric_limits<T>::radix), exp + 1
)
: !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_3_neg_hi(
x, x0 / std::numeric_limits<T>::radix, x / (x0 * std::numeric_limits<T>::radix), exp + 1
)
: exp
: base < 1 ? sprout::math::detail::logb_impl_2_pos_lo(
: base < 1 ? sprout::math::detail::logb_impl_3_pos_lo(
x, x0 * std::numeric_limits<T>::radix, x / (x0 / std::numeric_limits<T>::radix), exp + 1
)
: !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_2_pos_hi(
x, x0 / std::numeric_limits<T>::radix, x / (x0 * std::numeric_limits<T>::radix), exp - 1
)
: !(base < std::numeric_limits<T>::radix) ? sprout::math::detail::logb_impl_3_pos_hi(
x, x0 / std::numeric_limits<T>::radix, x / (x0 * std::numeric_limits<T>::radix), exp - 1
)
: exp
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
logb_impl_1(T x, T x0, T exp) {
return sprout::math::detail::logb_impl_2(x, x0, x / x0, exp);
logb_impl_2(T x, T x0, T exp) {
return sprout::math::detail::logb_impl_3(x, x0, x / x0, exp);
}
template<typename T>
inline SPROUT_CONSTEXPR T
logb_impl(T x, T exp) {
return sprout::math::detail::logb_impl_1(
x, sprout::detail::pow_n(T(std::numeric_limits<T>::radix), sprout::itrunc<std::intmax_t>(exp)), exp
logb_impl_1(T x, T exp) {
return sprout::math::detail::logb_impl_2(
x, sprout::detail::pow_n(T(std::numeric_limits<T>::radix), sprout::math::itrunc<std::intmax_t>(exp)), exp
);
}
template<typename T>
inline SPROUT_CONSTEXPR T
logb_impl(T x) {
return x < 0 ? sprout::math::detail::logb_impl_1(-x, sprout::math::trunc(sprout::math::log_a(T(std::numeric_limits<T>::radix), -x)))
: sprout::math::detail::logb_impl_1(x, sprout::math::trunc(sprout::math::log_a(T(std::numeric_limits<T>::radix), x)))
;
}
template<
typename FloatType,
@ -91,13 +100,15 @@ namespace sprout {
inline SPROUT_CONSTEXPR FloatType
logb(FloatType x) {
return x == 0 ? -std::numeric_limits<FloatType>::infinity()
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::logb(x)
#else
: x == std::numeric_limits<FloatType>::infinity() || x == -std::numeric_limits<FloatType>::infinity()
? std::numeric_limits<FloatType>::infinity()
: x < 0 ? sprout::math::detail::logb_impl(-x, sprout::trunc(sprout::log_a(FloatType(std::numeric_limits<FloatType>::radix), -x)))
: sprout::math::detail::logb_impl(x, sprout::trunc(sprout::log_a(FloatType(std::numeric_limits<FloatType>::radix), x)))
: static_cast<FloatType>(sprout::math::detail::logb_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
@ -108,7 +119,7 @@ namespace sprout {
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::logb;
using sprout::math::detail::logb;
} // namespace math
using sprout::math::logb;