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finish to merge Array into Core:
- mv Array/* into Core/ - merge Functors.h files, and move Norms.h into Dot.h
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@@ -80,6 +80,8 @@ MatrixBase<Derived>::dot(const MatrixBase<OtherDerived>& other) const
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return ei_dot_nocheck<Derived,OtherDerived>::run(*this, other);
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}
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//---------- implementation of L2 norm and related functions ----------
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/** \returns the squared \em l2 norm of *this, i.e., for vectors, the dot product of *this with itself.
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*
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* \sa dot(), norm()
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@@ -128,6 +130,61 @@ inline void MatrixBase<Derived>::normalize()
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*this /= norm();
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}
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//---------- implementation of other norms ----------
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template<typename Derived, int p>
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struct ei_lpNorm_selector
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{
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typedef typename NumTraits<typename ei_traits<Derived>::Scalar>::Real RealScalar;
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inline static RealScalar run(const MatrixBase<Derived>& m)
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{
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return ei_pow(m.cwiseAbs().array().pow(p).sum(), RealScalar(1)/p);
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}
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};
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template<typename Derived>
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struct ei_lpNorm_selector<Derived, 1>
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{
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inline static typename NumTraits<typename ei_traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
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{
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return m.cwiseAbs().sum();
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}
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};
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template<typename Derived>
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struct ei_lpNorm_selector<Derived, 2>
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{
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inline static typename NumTraits<typename ei_traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
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{
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return m.norm();
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}
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};
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template<typename Derived>
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struct ei_lpNorm_selector<Derived, Infinity>
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{
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inline static typename NumTraits<typename ei_traits<Derived>::Scalar>::Real run(const MatrixBase<Derived>& m)
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{
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return m.cwiseAbs().maxCoeff();
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}
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};
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/** \returns the \f$ \ell^p \f$ norm of *this, that is, returns the p-th root of the sum of the p-th powers of the absolute values
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* of the coefficients of *this. If \a p is the special value \a Eigen::Infinity, this function returns the \f$ \ell^p\infty \f$
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* norm, that is the maximum of the absolute values of the coefficients of *this.
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*
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* \sa norm()
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*/
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template<typename Derived>
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template<int p>
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inline typename NumTraits<typename ei_traits<Derived>::Scalar>::Real
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MatrixBase<Derived>::lpNorm() const
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{
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return ei_lpNorm_selector<Derived, p>::run(*this);
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}
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//---------- implementation of isOrthogonal / isUnitary ----------
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/** \returns true if *this is approximately orthogonal to \a other,
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* within the precision given by \a prec.
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*
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@@ -169,4 +226,5 @@ bool MatrixBase<Derived>::isUnitary(RealScalar prec) const
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}
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return true;
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}
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#endif // EIGEN_DOT_H
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