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fix erf, erfc

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fix for special values: trigonometric functions
This commit is contained in:
bolero-MURAKAMI 2013-04-23 23:07:20 +09:00
parent 5f40808f75
commit a27c83e939
12 changed files with 313 additions and 87 deletions
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60
sprout/math/atan2.hpp
View file

@ -5,40 +5,62 @@
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/atan.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/constants.hpp>
#include <sprout/math/atan.hpp>
#include <sprout/type_traits/float_promote.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
atan2_impl(T y, T x) {
return x < 0 ? sprout::math::atan(y / x) + (
y < 0 ? -sprout::math::pi<T>()
: sprout::math::pi<T>()
)
: sprout::math::atan(y / x)
;
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
atan2(FloatType y, FloatType x) {
return y == 0
? x == 0 ? FloatType(0)
: x < 0 ? sprout::math::pi<FloatType>()
: FloatType(0)
: x == 0 ? (y < 0 ? -1 : 1) * sprout::math::half_pi<FloatType>()
: x == -std::numeric_limits<FloatType>::infinity()
return x == -std::numeric_limits<FloatType>::infinity()
? y == std::numeric_limits<FloatType>::infinity() ? sprout::math::three_quarters_pi<FloatType>()
: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::three_quarters_pi<FloatType>()
: (y < 0 ? -1 : 1) * sprout::math::half_pi<FloatType>()
: y < 0 ? -sprout::math::half_pi<FloatType>()
: sprout::math::half_pi<FloatType>()
: x == std::numeric_limits<FloatType>::infinity()
? y == std::numeric_limits<FloatType>::infinity() ? sprout::math::quarter_pi<FloatType>()
: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::quarter_pi<FloatType>()
: FloatType(0)
: y == std::numeric_limits<FloatType>::infinity() ? sprout::math::half_pi<FloatType>()
: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::half_pi<FloatType>()
: x < 0 ? sprout::atan(y / x) + (y < 0 ? -1 : 1) * sprout::math::pi<FloatType>()
: sprout::atan(y / x)
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::atan2(y, x)
#else
: y == 0
? x < 0 ? sprout::math::pi<FloatType>()
: FloatType(0)
: x == 0
? y < 0 ? -sprout::math::half_pi<FloatType>()
: sprout::math::half_pi<FloatType>()
: static_cast<FloatType>(
sprout::math::detail::atan2_impl(
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(y),
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)
)
)
#endif
;
}
template<
typename ArithmeticType1,
typename ArithmeticType2,
@ -52,8 +74,20 @@ namespace sprout {
return sprout::math::detail::atan2(static_cast<type>(y), static_cast<type>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::atan2;
//
// atan2
//
template<
typename ArithmeticType1,
typename ArithmeticType2,
typename sprout::enabler_if<
std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value
>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type
atan2(ArithmeticType1 y, ArithmeticType2 x) {
return sprout::math::detail::atan2(y, x);
}
} // namespace math
using sprout::math::atan2;