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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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63
sprout/complex/values.hpp Normal file
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#ifndef SPROUT_COMPLEX_VALUES_HPP
#define SPROUT_COMPLEX_VALUES_HPP
#include <sprout/config.hpp>
#include <sprout/complex/complex.hpp>
#include <sprout/complex/operators.hpp>
#include <sprout/math/sin.hpp>
#include <sprout/math/cos.hpp>
#include <sprout/math/atan2.hpp>
#include <sprout/math/sqrt.hpp>
namespace sprout {
template<typename T>
SPROUT_CONSTEXPR T norm(sprout::complex<T> const& x);
// 26.4.7, values:
template<typename T>
inline SPROUT_CONSTEXPR T real(sprout::complex<T> const& x) {
return x.real();
}
template<typename T>
inline SPROUT_CONSTEXPR T imag(sprout::complex<T> const& x) {
return x.imag();
}
template<typename T>
inline SPROUT_CONSTEXPR T abs(sprout::complex<T> const& x) {
return sprout::sqrt(sprout::norm(x));
}
template<typename T>
inline SPROUT_CONSTEXPR T arg(sprout::complex<T> const& x) {
return sprout::atan2(x.imag(), x.real());
}
template<typename T>
inline SPROUT_CONSTEXPR T norm(sprout::complex<T> const& x) {
return x.real() * x.real() + x.imag() * x.imag();
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T> conj(sprout::complex<T> const& x) {
return sprout::complex<T>(x.real(), -x.imag());
}
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T> proj_impl(sprout::complex<T> const& x, T const& den) {
return sprout::complex<T>(
T(2) * x.real() / den,
T(2) * x.imag() / den
);
}
} // detail
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T> proj(sprout::complex<T> const& x) {
return sprout::detail::proj_impl(
x,
sprout::norm(x) + T(1)
);
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T> polar(T const& rho, T const& theta = 0) {
return sprout::complex<T>(rho * sprout::cos(theta), rho * sprout::sin(theta));
}
} // namespace sprout
#endif // #ifndef SPROUT_COMPLEX_VALUES_HPP