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Avoid inefficient 2x2 LU. Move atanh to internal for maintainability.

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Chen-Pang He
2012-08-30 23:40:30 +08:00
parent 9da41cc527
commit d23134e4a7
4 changed files with 51 additions and 37 deletions
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47
Eigen/src/Core/MathFunctions.h
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@@ -519,6 +519,53 @@ inline EIGEN_MATHFUNC_RETVAL(atan2, Scalar) atan2(const Scalar& x, const Scalar&
return EIGEN_MATHFUNC_IMPL(atan2, Scalar)::run(x, y);
}
/****************************************************************************
* Implementation of atanh2 *
****************************************************************************/
template<typename Scalar, bool IsInteger>
struct atanh2_default_impl
{
typedef Scalar retval;
typedef typename NumTraits<Scalar>::Real RealScalar;
static inline Scalar run(const Scalar& x, const Scalar& y)
{
using std::abs;
using std::log;
using std::sqrt;
Scalar z = x / y;
if (abs(z) > sqrt(NumTraits<RealScalar>::epsilon()))
return RealScalar(0.5) * log((y + x) / (y - x));
else
return z + z*z*z / RealScalar(3);
}
};
template<typename Scalar>
struct atanh2_default_impl<Scalar, true>
{
static inline Scalar run(const Scalar&, const Scalar&)
{
EIGEN_STATIC_ASSERT_NON_INTEGER(Scalar)
return Scalar(0);
}
};
template<typename Scalar>
struct atanh2_impl : atanh2_default_impl<Scalar, NumTraits<Scalar>::IsInteger> {};
template<typename Scalar>
struct atanh2_retval
{
typedef Scalar type;
};
template<typename Scalar>
inline EIGEN_MATHFUNC_RETVAL(atanh2, Scalar) atanh2(const Scalar& x, const Scalar& y)
{
return EIGEN_MATHFUNC_IMPL(atanh2, Scalar)::run(x, y);
}
/****************************************************************************
* Implementation of pow *
****************************************************************************/