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support hash: floating point

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This commit is contained in:
bolero-MURAKAMI 2013-02-07 23:12:57 +09:00
parent 63ef07d124
commit 7aa10d1e08
276 changed files with 542 additions and 325 deletions
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46
sprout/math/logb.hpp
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@ -1,15 +1,15 @@
#ifndef SPROUT_MATH_LOGB_HPP
#define SPROUT_MATH_LOGB_HPP
#include <climits>
#include <cfloat>
#include <cstdint>
#include <limits>
#include <type_traits>
#include <stdexcept>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/detail/pow.hpp>
#include <sprout/math/log_a.hpp>
#include <sprout/math/trunc.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
@ -18,28 +18,36 @@ namespace sprout {
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(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp - 1)
return base < 1 ? sprout::math::detail::logb_impl_2_neg_lo(
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_2_neg_hi(T x, T x0, T base, T exp) {
return !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_neg_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp + 1)
return !(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
)
: exp
;
}
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(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp + 1)
return base < 1 ? sprout::math::detail::logb_impl_2_pos_lo(
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_2_pos_hi(T x, T x0, T base, T exp) {
return !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_pos_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp - 1)
return !(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
)
: exp
;
}
@ -47,11 +55,19 @@ namespace sprout {
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(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp - 1)
: !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_neg_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp + 1)
? base < 1 ? sprout::math::detail::logb_impl_2_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
)
: exp
: base < 1 ? sprout::math::detail::logb_impl_2_pos_lo(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp + 1)
: !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_pos_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp - 1)
: base < 1 ? sprout::math::detail::logb_impl_2_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
)
: exp
;
}
@ -66,7 +82,7 @@ namespace sprout {
return std::numeric_limits<std::intmax_t>::max() < exp || std::numeric_limits<std::intmax_t>::min() > exp
? SPROUT_MATH_THROW_LARGE_FLOAT_ROUNDING(std::domain_error("trunc: large float rounding."), exp)
: sprout::math::detail::logb_impl_1(
x, sprout::detail::pow_n(T(FLT_RADIX), static_cast<std::intmax_t>(exp)),
x, sprout::detail::pow_n(T(std::numeric_limits<T>::radix), static_cast<std::intmax_t>(exp)),
static_cast<T>(static_cast<std::intmax_t>(exp))
)
;
@ -78,8 +94,12 @@ namespace sprout {
>
inline SPROUT_CONSTEXPR FloatType
logb(FloatType x) {
return x < 0 ? sprout::math::detail::logb_impl(-x, sprout::math::trunc(sprout::math::log_a(FloatType(FLT_RADIX), -x)))
: sprout::math::detail::logb_impl(x, sprout::math::trunc(sprout::math::log_a(FloatType(FLT_RADIX), x)))
return x < 0 ? sprout::math::detail::logb_impl(
-x, sprout::math::trunc(sprout::math::log_a(FloatType(std::numeric_limits<FloatType>::radix), -x))
)
: sprout::math::detail::logb_impl(
x, sprout::math::trunc(sprout::math::log_a(FloatType(std::numeric_limits<FloatType>::radix), x))
)
;
}