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fix complex, rational

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bolero-MURAKAMI 2012-08-29 01:16:12 +09:00
parent cdb10c0fbe
commit 6b3f7ad894
19 changed files with 1568 additions and 1360 deletions
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196
sprout/rational/comparison.hpp Normal file
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#ifndef SPROUT_RATIONAL_COMPARISON_HPP
#define SPROUT_RATIONAL_COMPARISON_HPP
#include <sprout/config.hpp>
#include <sprout/rational/rational.hpp>
namespace sprout {
//
// operator==
// operator!=
//
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator==(sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs) {
return lhs.numerator() == rhs.numerator() && lhs.denominator() == rhs.denominator();
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator==(sprout::rational<IntType> const& lhs, typename sprout::rational<IntType>::param_type rhs) {
return lhs.denominator() == IntType(1) && lhs.numerator() == rhs;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator==(typename sprout::rational<IntType>::param_type lhs, sprout::rational<IntType> const& rhs) {
return rhs == lhs;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator!=(sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs) {
return !(lhs == rhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator!=(sprout::rational<IntType> const& lhs, typename sprout::rational<IntType>::param_type rhs) {
return !(lhs == rhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator!=(typename sprout::rational<IntType>::param_type lhs, sprout::rational<IntType> const& rhs) {
return !(lhs == rhs);
}
//
// operator<
// operator>
// operator<=
// operator>=
//
namespace detail {
template<typename IntType>
inline SPROUT_CONSTEXPR bool
rational_less_impl_2(
sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs,
IntType d1, IntType q1, IntType r1,
IntType d2, IntType q2, IntType r2,
unsigned reverse = 0
)
{
return q1 != q2 ? reverse ? q1 > q2 : q1 < q2
: r1 == IntType(0) || r2 == IntType(0)
? r1 == r2 ? false
: (r1 != IntType(0)) != static_cast<bool>(reverse ^ 1)
: sprout::detail::rational_less_impl_2(
lhs, rhs,
r1, d1 / r1, d1 % r1,
r2, d2 / r2, d2 % r2,
reverse ^ 1
)
;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
rational_less_impl_1(
sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs,
IntType d1, IntType q1, IntType r1,
IntType d2, IntType q2, IntType r2
)
{
return r2 < IntType(0) ? sprout::detail::rational_less_impl_1(
lhs, rhs,
d1, q1, r1,
d2, q2 - 1, r2 + d2
)
: sprout::detail::rational_less_impl_2(
lhs, rhs,
d1, q1, r1,
d2, q2, r2
)
;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
rational_less_impl(
sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs,
IntType d1, IntType q1, IntType r1
)
{
return r1 < IntType(0) ? sprout::detail::rational_less_impl(
lhs, rhs,
d1, q1 - 1, r1 + d1
)
: sprout::detail::rational_less_impl_1(
lhs, rhs,
d1, q1, r1,
rhs.denominator(), rhs.numerator() / rhs.denominator(), rhs.numerator() % rhs.denominator()
)
;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
rational_less_impl(
sprout::rational<IntType> const& lhs, typename sprout::rational<IntType>::param_type rhs,
IntType q, IntType r
)
{
return r < IntType(0) ? sprout::detail::rational_less_impl(
lhs, rhs,
r + lhs.denominator(), q - 1
)
: q < rhs
;
}
} // namespace detail
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator<(sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs) {
return sprout::detail::rational_less_impl(
lhs, rhs,
lhs.denominator(), lhs.numerator() / lhs.denominator(), lhs.numerator() % lhs.denominator()
);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator<(sprout::rational<IntType> const& lhs, typename sprout::rational<IntType>::param_type rhs) {
return sprout::detail::rational_less_impl(
lhs, rhs,
lhs.numerator() / lhs.denominator(), lhs.numerator() % lhs.denominator()
);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator<(typename sprout::rational<IntType>::param_type lhs, sprout::rational<IntType> const& rhs) {
return lhs != rhs && !(rhs < lhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator>(sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs) {
return rhs < lhs;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator>(sprout::rational<IntType> const& lhs, typename sprout::rational<IntType>::param_type rhs) {
return rhs < lhs;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator>(typename sprout::rational<IntType>::param_type lhs, sprout::rational<IntType> const& rhs) {
return rhs < lhs;
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator<=(sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs) {
return !(rhs < lhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator<=(sprout::rational<IntType> const& lhs, typename sprout::rational<IntType>::param_type rhs) {
return !(rhs < lhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator<=(typename sprout::rational<IntType>::param_type lhs, sprout::rational<IntType> const& rhs) {
return !(rhs < lhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator>=(sprout::rational<IntType> const& lhs, sprout::rational<IntType> const& rhs) {
return !(lhs < rhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator>=(sprout::rational<IntType> const& lhs, typename sprout::rational<IntType>::param_type rhs) {
return !(lhs < rhs);
}
template<typename IntType>
inline SPROUT_CONSTEXPR bool
operator>=(typename sprout::rational<IntType>::param_type lhs, sprout::rational<IntType> const& rhs) {
return !(lhs < rhs);
}
} // namespace sprout
#endif // SPROUT_RATIONAL_COMPARISON_HPP