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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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44
sprout/math/log.hpp
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@ -12,25 +12,33 @@
#include <sprout/math/factorial.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
log_impl_1(T x, std::size_t n, std::size_t last) {
log_impl_2(T x, std::size_t n, std::size_t last) {
return last - n == 1
? (n % 2 ? 1 : -1) * sprout::detail::pow_n(x, n) / n
: sprout::math::detail::log_impl_1(x, n, n + (last - n) / 2)
+ sprout::math::detail::log_impl_1(x, n + (last - n) / 2, last)
: sprout::math::detail::log_impl_2(x, n, n + (last - n) / 2)
+ sprout::math::detail::log_impl_2(x, n + (last - n) / 2, last)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
log_impl_1(T x) {
return !(x > sprout::math::root_two<T>())
? sprout::math::detail::log_impl_2(x - T(1), 1, sprout::math::factorial_limit<T>() + 1)
: T(2) * sprout::math::detail::log_impl_1(sprout::math::sqrt(x))
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
log_impl(T x) {
return !(x > sprout::math::root_two<T>())
? sprout::math::detail::log_impl_1(x - 1, 1, sprout::math::factorial_limit<T>() + 1)
: 2 * sprout::math::detail::log_impl(sprout::sqrt(x))
return x < 1 ? -sprout::math::detail::log_impl_1(T(1) / x)
: sprout::math::detail::log_impl_1(x)
;
}
@ -40,16 +48,17 @@ namespace sprout {
>
inline SPROUT_CONSTEXPR FloatType
log(FloatType x) {
typedef typename sprout::math::detail::float_compute<FloatType>::type type;
return x == 0 ? -std::numeric_limits<FloatType>::infinity()
: x == 1 ? FloatType(0)
: x == std::numeric_limits<FloatType>::infinity() ? std::numeric_limits<FloatType>::infinity()
: x < 0 ? std::numeric_limits<FloatType>::quiet_NaN()
: x < 1 ? static_cast<FloatType>(-sprout::math::detail::log_impl(1 / static_cast<type>(x)))
: static_cast<FloatType>(sprout::math::detail::log_impl(static_cast<type>(x)))
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::log(x)
#else
: x == 1 ? FloatType(0)
: static_cast<FloatType>(sprout::math::detail::log_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 +68,17 @@ namespace sprout {
return sprout::math::detail::log(static_cast<double>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::log;
//
// log
//
template<
typename ArithmeticType,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
log(ArithmeticType x) {
return sprout::math::detail::log(x);
}
} // namespace math
using sprout::math::log;