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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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41
sprout/math/cos.hpp
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@ -12,6 +12,7 @@
#include <sprout/math/constants.hpp>
#include <sprout/math/fmod.hpp>
#include <sprout/type_traits/enabler_if.hpp>
#include <sprout/type_traits/float_promote.hpp>
namespace sprout {
namespace math {
@ -25,15 +26,12 @@ namespace sprout {
+ sprout::math::detail::cos_impl_1(x2, n + (last - n) / 2, last)
;
}
template<typename FloatType>
inline SPROUT_CONSTEXPR FloatType
cos_impl(FloatType x) {
typedef typename sprout::math::detail::float_compute<FloatType>::type type;
return static_cast<FloatType>(
type(1) + sprout::math::detail::cos_impl_1(
sprout::detail::pow2(static_cast<type>(x)),
1, sprout::math::factorial_limit<type>() / 2 + 1
)
template<typename T>
inline SPROUT_CONSTEXPR T
cos_impl(T x) {
return T(1) + sprout::math::detail::cos_impl_1(
sprout::detail::pow2(sprout::math::fmod(x, sprout::math::two_pi<T>())),
1, sprout::math::factorial_limit<T>() / 2 + 1
);
}
@ -43,13 +41,17 @@ namespace sprout {
>
inline SPROUT_CONSTEXPR FloatType
cos(FloatType x) {
return x == 0 ? FloatType(1)
: x == std::numeric_limits<FloatType>::infinity() || x == -std::numeric_limits<FloatType>::infinity()
return x == std::numeric_limits<FloatType>::infinity()
|| x == -std::numeric_limits<FloatType>::infinity()
? std::numeric_limits<FloatType>::quiet_NaN()
: sprout::math::detail::cos_impl(sprout::math::fmod(x, sprout::math::two_pi<FloatType>()))
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::cos(x)
#else
: x == 0 ? FloatType(1)
: static_cast<FloatType>(sprout::math::detail::cos_impl(static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)))
#endif
;
}
template<
typename IntType,
typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
@ -59,8 +61,17 @@ namespace sprout {
return sprout::math::detail::cos(static_cast<double>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::cos;
//
// cos
//
template<
typename ArithmeticType,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
cos(ArithmeticType x) {
return sprout::math::detail::cos(x);
}
} // namespace math
using sprout::math::cos;