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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/cosh.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
cosh_impl(T x, T tmp, std::size_t n, T x2n) {
return 2 * n > sprout::math::factorial_limit<T>() ? tmp
: sprout::math::detail::cosh_impl(
x,
tmp + x2n / sprout::math::factorial<T>(2 * n),
n + 1,
x2n * x * x
)
cosh_impl(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)
;
}
@ -31,12 +29,12 @@ namespace sprout {
inline SPROUT_CONSTEXPR FloatType
cosh(FloatType x) {
typedef double type;
return static_cast<FloatType>(sprout::math::detail::cosh_impl(
static_cast<type>(x),
type(1),
1,
static_cast<type>(x) * static_cast<type>(x)
));
return 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
)
);
}
template<