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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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32
sprout/math/acosh.hpp
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@ -5,26 +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/log.hpp>
#include <sprout/math/sqrt.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
acosh_impl(T x) {
return sprout::math::log(x + sprout::math::sqrt(x * x - 1));
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
acosh(FloatType x) {
return x == 1 ? FloatType(0)
: x < 1 ? std::numeric_limits<FloatType>::quiet_NaN()
return x < 1 ? std::numeric_limits<FloatType>::quiet_NaN()
: x == std::numeric_limits<FloatType>::infinity() ? std::numeric_limits<FloatType>::infinity()
: sprout::log(x + sprout::sqrt(x * x - 1))
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::acosh(x)
#else
: x == 1 ? FloatType(0)
: static_cast<FloatType>(sprout::math::detail::acosh_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 +45,17 @@ namespace sprout {
return sprout::math::detail::acosh(static_cast<double>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::acosh;
//
// acosh
//
template<
typename ArithmeticType,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
acosh(ArithmeticType x) {
return sprout::math::detail::acosh(x);
}
} // namespace math
using sprout::math::acosh;