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add sprout/rational.hpp

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add sprout/math/common_factor.hpp
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bolero-MURAKAMI 2012-05-25 22:21:16 +09:00
parent dc8cb3d14e
commit 5a9b2e4f7d
8 changed files with 1153 additions and 119 deletions
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101
sprout/math/lcm.hpp Normal file
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#ifndef SPROUT_MATH_LCM_HPP
#define SPROUT_MATH_LCM_HPP
#include <climits>
#include <limits>
#include <sprout/config.hpp>
#include <sprout/math/gcd.hpp>
namespace sprout {
namespace math {
namespace detail {
template<typename RingType>
inline SPROUT_CONSTEXPR RingType
lcm_euclidean_impl(RingType a, RingType b, RingType temp) {
return temp != static_cast<RingType>(0) ? (a / temp * b)
: static_cast<RingType>(0)
;
}
template<typename RingType>
inline SPROUT_CONSTEXPR RingType
lcm_euclidean(RingType a, RingType b) {
return sprout::math::detail::lcm_euclidean_impl(
a, b, sprout::math::detail::gcd_euclidean(a, b)
);
}
template<typename IntType>
inline SPROUT_CONSTEXPR IntType
lcm_integer_impl(IntType result) {
return result < static_cast<IntType>(0) ? -result : result;
}
template<typename IntType>
inline SPROUT_CONSTEXPR IntType
lcm_integer(IntType const& a, IntType const& b) {
return sprout::math::detail::lcm_integer_impl(
sprout::math::detail::lcm_euclidean(a, b)
);
}
template<typename T, bool IsSpecialized, bool IsSigned>
struct lcm_optimal_evaluator_helper_t {
public:
SPROUT_CONSTEXPR T operator()(T const& a, T const& b) const {
return sprout::math::detail::lcm_euclidean(a, b);
}
};
template<typename T>
struct lcm_optimal_evaluator_helper_t<T, true, true> {
public:
SPROUT_CONSTEXPR T operator()(T const& a, T const& b) const {
return sprout::math::detail::lcm_integer(a, b);
}
};
template<typename T>
struct lcm_optimal_evaluator {
public:
SPROUT_CONSTEXPR T operator()(T const& a, T const& b) const {
typedef std::numeric_limits<T> limits_type;
typedef sprout::math::detail::lcm_optimal_evaluator_helper_t<
T, limits_type::is_specialized, limits_type::is_signed
> helper_type;
return helper_type().operator()(a, b);
}
};
template<typename T>
inline SPROUT_CONSTEXPR T
lcm_optimal(T const& a, T const& b) {
return sprout::math::detail::lcm_optimal_evaluator<T>().operator()(a, b);
}
} // namespace detail
//
// lcm_evaluator
//
template<typename IntType>
class lcm_evaluator {
public:
typedef IntType result_type;
typedef IntType first_argument_type;
typedef IntType second_argument_type;
public:
SPROUT_CONSTEXPR result_type
operator()(first_argument_type const& a, second_argument_type const& b) const {
return sprout::math::detail::lcm_optimal(a, b);
}
};
//
// lcm
//
template<typename IntType>
inline SPROUT_CONSTEXPR IntType
lcm(IntType const& a, IntType const& b) {
return sprout::math::lcm_evaluator<IntType>().operator()(a, b);
}
} // namespace math
} // namespace boost
#endif // SPROUT_MATH_LCM_HPP