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fix recursion depth math functions.

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This commit is contained in:
bolero-MURAKAMI 2012-12-08 13:45:09 +09:00
parent 0754fd0fad
commit 74729ce14f
8 changed files with 80 additions and 115 deletions
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26
sprout/math/sinh.hpp
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@ -4,6 +4,7 @@
#include <cstddef>
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/detail/pow.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/factorial.hpp>
#include <sprout/type_traits/enabler_if.hpp>
@ -13,14 +14,11 @@ namespace sprout {
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
sinh_impl(T x, T tmp, std::size_t n, T x2n1) {
return 2 * n + 1 > sprout::math::factorial_limit<T>() ? tmp
: sprout::math::detail::sinh_impl(
x,
tmp + x2n1 / sprout::math::factorial<T>(2 * n + 1),
n + 1,
x2n1 * x * x
)
sinh_impl(T x, std::size_t n, std::size_t last) {
return last - n == 1
? sprout::detail::pow_n(x, 2 * n + 1) / sprout::math::factorial<T>(2 * n + 1)
: sprout::math::detail::sinh_impl(x, n, n + (last - n) / 2)
+ sprout::math::detail::sinh_impl(x, n + (last - n) / 2, last)
;
}
@ -31,12 +29,12 @@ namespace sprout {
inline SPROUT_CONSTEXPR FloatType
sinh(FloatType x) {
typedef double type;
return static_cast<FloatType>(sprout::math::detail::sinh_impl(
static_cast<type>(x),
static_cast<type>(x),
1,
static_cast<type>(x) * static_cast<type>(x) * static_cast<type>(x)
));
return static_cast<FloatType>(
static_cast<type>(x) + sprout::math::detail::sinh_impl(
static_cast<type>(x),
1, (sprout::math::factorial_limit<type>() - 1) / 2 + 1
)
);
}
template<