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add math::copysign

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fix hyperbolic and exponental functions: for special values
This commit is contained in:
bolero-MURAKAMI 2013-04-24 22:48:36 +09:00
parent a27c83e939
commit 32c3ba02d4
50 changed files with 540 additions and 216 deletions
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36
sprout/math/atanh.hpp
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@ -5,26 +5,39 @@
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/copysign.hpp>
#include <sprout/math/log.hpp>
#include <sprout/math/fabs.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
atanh_impl(T x) {
return sprout::math::log((1 + x) / (1 - x)) / 2;
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
atanh(FloatType x) {
return x == 0 ? FloatType(0)
: x == 1 ? std::numeric_limits<FloatType>::infinity()
return x == 1 ? std::numeric_limits<FloatType>::infinity()
: x == -1 ? -std::numeric_limits<FloatType>::infinity()
: x > 1 || x < -1 ? std::numeric_limits<FloatType>::quiet_NaN()
: sprout::log((1 + x) / (1 - x)) / 2
: sprout::math::fabs(x) > 1 ? std::numeric_limits<FloatType>::quiet_NaN()
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::atanh(x)
#else
: x == 0 ? sprout::math::copysign(FloatType(0), x)
: static_cast<FloatType>(sprout::math::detail::atanh_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
@ -34,8 +47,17 @@ namespace sprout {
return sprout::math::detail::atanh(static_cast<double>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::atanh;
//
// atanh
//
template<
typename ArithmeticType,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
atanh(ArithmeticType x) {
return sprout::math::detail::atanh(x);
}
} // namespace math
using sprout::math::atanh;