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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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45
sprout/math/hypot.hpp
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@ -4,28 +4,59 @@
#include <limits>
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/type_traits/float_promote.hpp>
#include <sprout/type_traits/enabler_if.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/fabs.hpp>
#include <sprout/math/sqrt.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
hypot_impl_2(T t, T w) {
return t * sprout::math::sqrt(T(1) + w * w);
}
template<typename T>
inline SPROUT_CONSTEXPR T
hypot_impl_1(T x, T y) {
return x < y
? sprout::math::detail::hypot_impl_2(y, x / y)
: sprout::math::detail::hypot_impl_2(x, y / x)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
hypot_impl(T x, T y) {
return sprout::math::detail::hypot_impl_1(sprout::math::fabs(x), sprout::math::fabs(y));
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
hypot(FloatType x, FloatType y) {
return y == 0 ? sprout::math::fabs(x)
: x == 0 ? sprout::math::fabs(y)
: y == std::numeric_limits<FloatType>::infinity() || y == -std::numeric_limits<FloatType>::infinity()
return y == std::numeric_limits<FloatType>::infinity() || y == -std::numeric_limits<FloatType>::infinity()
? std::numeric_limits<FloatType>::infinity()
: x == std::numeric_limits<FloatType>::infinity() || x == -std::numeric_limits<FloatType>::infinity()
? std::numeric_limits<FloatType>::infinity()
: sprout::math::sqrt(x * x + y * y)
: sprout::math::isnan(y) ? y
: sprout::math::isnan(x) ? x
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::hypot(x, y)
#else
: y == 0 ? sprout::math::fabs(x)
: x == 0 ? sprout::math::fabs(y)
: static_cast<FloatType>(sprout::math::detail::hypot_impl(
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x),
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(y)
))
#endif
;
}
@ -43,7 +74,7 @@ namespace sprout {
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::hypot;
using sprout::math::detail::hypot;
} // namespace math
using sprout::math::hypot;