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fix complex norm

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This commit is contained in:
bolero-MURAKAMI 2014-08-01 17:21:44 +09:00
parent d0d2b677bc
commit c2ea313c6c
2 changed files with 13 additions and 25 deletions
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23
sprout/complex/atanh.hpp
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@ -17,11 +17,10 @@
#include <sprout/math/log.hpp>
#include <sprout/math/atan2.hpp>
#include <sprout/complex/complex.hpp>
#include <sprout/complex/operators.hpp>
#include <sprout/complex/log.hpp>
#include <sprout/complex/sqrt.hpp>
#include <sprout/complex/operators.hpp>
namespace sprout {
//
// atanh
@ -40,25 +39,6 @@ namespace sprout {
// catanh(NaN + i<>‡) returns <20>}0 + ip /2 (where the sign of the real part of the result is unspecified).
// catanh(NaN + iNaN) returns NaN + iNaN.
//
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
atanh_impl_1(sprout::complex<T> const& x, T const& i2, T const& z, T const& num, T const& den) {
return sprout::complex<T>(
sprout::math::quarter<T>() * (sprout::math::log(i2 + num * num) - sprout::math::log(i2 + den * den)),
sprout::math::half<T>() * sprout::math::atan2(T(2) * x.imag(), z)
);
}
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
atanh_impl(sprout::complex<T> const& x, T const& i2) {
return sprout::detail::atanh_impl_1(
x, i2,
T(1) - i2 - x.real() * x.real(),
T(1) + x.imag(), T(1) - x.imag()
);
}
} // namespace detail
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
atanh(sprout::complex<T> const& x) {
@ -75,7 +55,6 @@ namespace sprout {
? type(sprout::math::copysign(T(0), x.real()), sprout::math::copysign(sprout::math::half_pi<T>(), x.imag()))
: x.real() == 0 && x.imag() == 0 ? x
: (x.real() == 1 || x.real() == -1) && x.imag() == 0 ? type(sprout::math::copysign(sprout::numeric_limits<T>::infinity(), x.real()), x.imag())
// : sprout::detail::atanh_impl(x, x.imag() * x.imag())
: (sprout::log(T(1) + x) - sprout::log(T(1) - x)) / T(2)
;
}