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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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29
sprout/math/sqrt.hpp
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@ -14,15 +14,20 @@ namespace sprout {
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
sqrt_impl_1(T x, T s, T s2) {
sqrt_impl_2(T x, T s, T s2) {
return !(s < s2) ? s2
: sprout::math::detail::sqrt_impl_1(x, (x / s + s) / 2, s)
: sprout::math::detail::sqrt_impl_2(x, (x / s + s) / 2, s)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
sqrt_impl(T x, T s) {
return sprout::math::detail::sqrt_impl_1(x, (x / s + s) / 2, s);
sqrt_impl_1(T x, T s) {
return sprout::math::detail::sqrt_impl_2(x, (x / s + s) / 2, s);
}
template<typename T>
inline SPROUT_CONSTEXPR T
sqrt_impl(T x) {
return sprout::math::detail::sqrt_impl_1(x, x > 1 ? x : T(1));
}
template<
@ -31,12 +36,16 @@ namespace sprout {
>
inline SPROUT_CONSTEXPR FloatType
sqrt(FloatType x) {
typedef typename sprout::math::detail::float_compute<FloatType>::type type;
return x == 0 ? FloatType(0)
return sprout::math::isnan(x) ? x
: x == std::numeric_limits<FloatType>::infinity() ? std::numeric_limits<FloatType>::infinity()
: sprout::math::isnan(x) ? std::numeric_limits<FloatType>::quiet_NaN()
: x < 0 ? std::numeric_limits<FloatType>::quiet_NaN()
: static_cast<FloatType>(sprout::math::detail::sqrt_impl(static_cast<type>(x), x > 1 ? static_cast<type>(x) : type(1)));
: x < 0 ? -std::numeric_limits<FloatType>::quiet_NaN()
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::sqrt(x)
#else
: x == 0 ? x
: static_cast<FloatType>(sprout::math::detail::sqrt_impl(static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)))
#endif
;
}
template<
typename IntType,
@ -48,7 +57,7 @@ namespace sprout {
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::sqrt;
using sprout::math::detail::sqrt;
} // namespace math
using sprout::math::sqrt;