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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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48
sprout/math/cosh.hpp
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@ -10,19 +10,28 @@
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/factorial.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
cosh_impl(T x2, std::size_t n, std::size_t last) {
cosh_impl_1(T x2, std::size_t n, std::size_t last) {
return last - n == 1
? sprout::detail::pow_n(x2, n) / sprout::math::factorial<T>(2 * n)
: sprout::math::detail::cosh_impl(x2, n, n + (last - n) / 2)
+ sprout::math::detail::cosh_impl(x2, n + (last - n) / 2, last)
? sprout::detail::pow_n(x2, n) / sprout::math::unchecked_factorial<T>(2 * n)
: sprout::math::detail::cosh_impl_1(x2, n, n + (last - n) / 2)
+ sprout::math::detail::cosh_impl_1(x2, n + (last - n) / 2, last)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
cosh_impl(T x) {
return T(1) + sprout::math::detail::cosh_impl_1(
x * x,
1, sprout::math::factorial_limit<T>() / 2 + 1
);
}
template<
typename FloatType,
@ -30,19 +39,17 @@ namespace sprout {
>
inline SPROUT_CONSTEXPR FloatType
cosh(FloatType x) {
typedef typename sprout::math::detail::float_compute<FloatType>::type type;
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>::infinity()
: static_cast<FloatType>(
type(1) + sprout::math::detail::cosh_impl(
static_cast<type>(x) * static_cast<type>(x),
1, sprout::math::factorial_limit<type>() / 2 + 1
)
)
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::cosh(x)
#else
: x == 0 ? FloatType(1)
: static_cast<FloatType>(sprout::math::detail::cosh_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
@ -52,8 +59,17 @@ namespace sprout {
return sprout::math::detail::cosh(static_cast<double>(x));
}
} // namespace detail
using NS_SPROUT_MATH_DETAIL::cosh;
//
// cosh
//
template<
typename ArithmeticType,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
cosh(ArithmeticType x) {
return sprout::math::detail::cosh(x);
}
} // namespace math
using sprout::math::cosh;