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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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33
sprout/math/acos.hpp
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@ -5,25 +5,37 @@
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/asin.hpp>
#include <sprout/math/fabs.hpp>
#include <sprout/math/constants.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
acos_impl(T x) {
return sprout::math::half_pi<T>() - sprout::math::asin(x);
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
acos(FloatType x) {
return x == 1 ? FloatType(0)
: x > 1 || x < -1 ? std::numeric_limits<FloatType>::quiet_NaN()
: sprout::math::half_pi<FloatType>() - sprout::asin(x)
return sprout::math::fabs(x) > 1 ? std::numeric_limits<FloatType>::quiet_NaN()
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::acos(x)
#else
: x == 1 ? FloatType(0)
: static_cast<FloatType>(sprout::math::detail::acos_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
@ -33,8 +45,17 @@ namespace sprout {
return sprout::math::detail::acos(static_cast<double>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::acos;
//
// acos
//
template<
typename ArithmeticType,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
acos(ArithmeticType x) {
return sprout::math::detail::acos(x);
}
} // namespace math
using sprout::math::acos;