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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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27
sprout/math/log.hpp
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@ -5,6 +5,7 @@
#include <limits>
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/detail/pow.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/constants.hpp>
#include <sprout/math/factorial.hpp>
@ -16,30 +17,18 @@ namespace sprout {
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
log_impl_2(T x, T tmp, std::size_t n, T xn) {
return n > sprout::math::factorial_limit<T>() ? tmp
: sprout::math::detail::log_impl_2(
x,
tmp + (n % 2 ? 1 : -1) * xn / n,
n + 1,
xn * x
)
log_impl_1(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)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
log_impl_1(T x) {
return sprout::math::detail::log_impl_2(
x,
x,
2,
x * 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)
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::math::sqrt(x))
;
}