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fix fmod

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bolero-MURAKAMI 2013-05-07 13:40:18 +09:00
parent 56cb7702ea
commit 3498e9214f
4 changed files with 123 additions and 23 deletions
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57
sprout/math/fmod.hpp
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@ -3,23 +3,66 @@
#include <limits>
#include <type_traits>
#include <stdexcept>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/isnan.hpp>
#include <sprout/math/signbit.hpp>
#include <sprout/math/trunc.hpp>
#include <sprout/math/fabs.hpp>
#include <sprout/math/ilogb.hpp>
#include <sprout/math/scalbn.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
fmod_impl_6(T x, T y, T x1) {
return x1 >= y
? x < 0 ? -(x1 - y) : x1 - y
: x < 0 ? -x1 : x1
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
fmod_impl_5(T x, T y, T x1, T y1, T z, int iscy, int idiff, int i) {
return i != idiff
? z >= 0
? sprout::math::detail::fmod_impl_5(x, y, z + z, y1, z + z - y1, iscy, idiff, i + 1)
: sprout::math::detail::fmod_impl_5(x, y, x1 + x1, y1, x1 + x1 - y1, iscy, idiff, i + 1)
: sprout::math::detail::fmod_impl_6(x, y, sprout::math::scalbn(x1, iscy))
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
fmod_impl_4(T x, T y, T x1, T y1, int iscy, int idiff, int i) {
return sprout::math::detail::fmod_impl_5(x, y, x1, y1, x1 - y1, iscy, idiff, i);
}
template<typename T>
inline SPROUT_CONSTEXPR T
fmod_impl_3(T x, T y, T x1, int iscx, int iscy, int idiff) {
return idiff ? sprout::math::detail::fmod_impl_4(x, y, sprout::math::scalbn(x1, -iscx), sprout::math::scalbn(y, -iscy), iscy, idiff, 0)
: sprout::math::detail::fmod_impl_6(x, y, x1)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
fmod_impl_2(T x, T y, T x1, int iscx, int iscy) {
return sprout::math::detail::fmod_impl_3(x, y, x1, iscx, iscy, iscx - iscy);
}
template<typename T>
inline SPROUT_CONSTEXPR T
fmod_impl_1(T x, T y, T x1) {
return y > x1 ? x
: sprout::math::detail::fmod_impl_2(x, y, x1, sprout::math::ilogb(x1), sprout::math::ilogb(y))
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
fmod_impl(T x, T y) {
return x - sprout::math::trunc(x / y) * y;
return sprout::math::detail::fmod_impl_1(x, sprout::math::fabs(y), sprout::math::fabs(x));
}
template<
@ -34,9 +77,9 @@ namespace sprout {
: std::numeric_limits<FloatType>::quiet_NaN()
: y
: sprout::math::isnan(x) ? x
: x == 0 && y != 0 ? x
: x == std::numeric_limits<FloatType>::infinity() || x == -std::numeric_limits<FloatType>::infinity() || y == 0
? -std::numeric_limits<FloatType>::quiet_NaN()
: x == 0 ? x
: y == std::numeric_limits<FloatType>::infinity() || y == -std::numeric_limits<FloatType>::infinity() ? x
: static_cast<FloatType>(sprout::math::detail::fmod_impl(
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x),
@ -58,7 +101,11 @@ namespace sprout {
return sprout::math::detail::fmod(static_cast<type>(x), static_cast<type>(y));
}
} // namespace detail
//
// issue:
// fmod(-NaN, -NaN) returns -NaN .
// # returns +NaN . ( same as fmod(+NaN, +NaN) )
//
using sprout::math::detail::fmod;
} // namespace math