diff options
Diffstat (limited to 'Eigen/src')
-rw-r--r-- | Eigen/src/Core/PermutationMatrix.h | 139 |
1 files changed, 120 insertions, 19 deletions
diff --git a/Eigen/src/Core/PermutationMatrix.h b/Eigen/src/Core/PermutationMatrix.h index fcd2e46cc..c42812ec8 100644 --- a/Eigen/src/Core/PermutationMatrix.h +++ b/Eigen/src/Core/PermutationMatrix.h @@ -47,7 +47,7 @@ * \sa class DiagonalMatrix */ template<int SizeAtCompileTime, int MaxSizeAtCompileTime = SizeAtCompileTime> class PermutationMatrix; -template<typename PermutationType, typename MatrixType, int Side> struct ei_permut_matrix_product_retval; +template<typename PermutationType, typename MatrixType, int Side, bool Transposed=false> struct ei_permut_matrix_product_retval; template<int SizeAtCompileTime, int MaxSizeAtCompileTime> struct ei_traits<PermutationMatrix<SizeAtCompileTime, MaxSizeAtCompileTime> > @@ -132,6 +132,9 @@ class PermutationMatrix : public EigenBase<PermutationMatrix<SizeAtCompileTime, /** \returns the number of columns */ inline int cols() const { return m_indices.size(); } + /** \returns the size of a side of the respective square matrix, i.e., the number of indices */ + inline int size() const { return m_indices.size(); } + #ifndef EIGEN_PARSED_BY_DOXYGEN template<typename DenseDerived> void evalTo(MatrixBase<DenseDerived>& other) const @@ -213,16 +216,29 @@ class PermutationMatrix : public EigenBase<PermutationMatrix<SizeAtCompileTime, return *this; } - /**** inversion and multiplication helpers to hopefully get RVO ****/ + /** \returns the inverse permutation matrix. + * + * \note \note_try_to_help_rvo + */ + inline Transpose<PermutationMatrix> inverse() const + { return *this; } + /** \returns the tranpose permutation matrix. + * + * \note \note_try_to_help_rvo + */ + inline Transpose<PermutationMatrix> transpose() const + { return *this; } + + /**** multiplication helpers to hopefully get RVO ****/ #ifndef EIGEN_PARSED_BY_DOXYGEN - protected: - enum Inverse_t {Inverse}; - PermutationMatrix(Inverse_t, const PermutationMatrix& other) - : m_indices(other.m_indices.size()) + template<int OtherSize, int OtherMaxSize> + PermutationMatrix(const Transpose<PermutationMatrix<OtherSize,OtherMaxSize> >& other) + : m_indices(other.nestedPermutation().size()) { - for (int i=0; i<rows();++i) m_indices.coeffRef(other.m_indices.coeff(i)) = i; + for (int i=0; i<rows();++i) m_indices.coeffRef(other.nestedPermutation().indices().coeff(i)) = i; } + protected: enum Product_t {Product}; PermutationMatrix(Product_t, const PermutationMatrix& lhs, const PermutationMatrix& rhs) : m_indices(lhs.m_indices.size()) @@ -233,12 +249,7 @@ class PermutationMatrix : public EigenBase<PermutationMatrix<SizeAtCompileTime, #endif public: - /** \returns the inverse permutation matrix. - * - * \note \note_try_to_help_rvo - */ - inline PermutationMatrix inverse() const - { return PermutationMatrix(Inverse, *this); } + /** \returns the product permutation matrix. * * \note \note_try_to_help_rvo @@ -247,6 +258,22 @@ class PermutationMatrix : public EigenBase<PermutationMatrix<SizeAtCompileTime, inline PermutationMatrix operator*(const PermutationMatrix<OtherSize, OtherMaxSize>& other) const { return PermutationMatrix(Product, *this, other); } + /** \returns the product of a permutation with another inverse permutation. + * + * \note \note_try_to_help_rvo + */ + template<int OtherSize, int OtherMaxSize> + inline PermutationMatrix operator*(const Transpose<PermutationMatrix<OtherSize,OtherMaxSize> >& other) const + { return PermutationMatrix(Product, *this, other.eval()); } + + /** \returns the product of an inverse permutation with another permutation. + * + * \note \note_try_to_help_rvo + */ + template<int OtherSize, int OtherMaxSize> friend + inline PermutationMatrix operator*(const Transpose<PermutationMatrix<OtherSize,OtherMaxSize> >& other, const PermutationMatrix& perm) + { return PermutationMatrix(Product, other.eval(), perm); } + protected: IndicesType m_indices; @@ -277,15 +304,15 @@ operator*(const PermutationMatrix<SizeAtCompileTime, MaxSizeAtCompileTime> &perm (permutation, matrix.derived()); } -template<typename PermutationType, typename MatrixType, int Side> -struct ei_traits<ei_permut_matrix_product_retval<PermutationType, MatrixType, Side> > +template<typename PermutationType, typename MatrixType, int Side, bool Transposed> +struct ei_traits<ei_permut_matrix_product_retval<PermutationType, MatrixType, Side, Transposed> > { typedef typename MatrixType::PlainObject ReturnType; }; -template<typename PermutationType, typename MatrixType, int Side> +template<typename PermutationType, typename MatrixType, int Side, bool Transposed> struct ei_permut_matrix_product_retval - : public ReturnByValue<ei_permut_matrix_product_retval<PermutationType, MatrixType, Side> > + : public ReturnByValue<ei_permut_matrix_product_retval<PermutationType, MatrixType, Side, Transposed> > { typedef typename ei_cleantype<typename MatrixType::Nested>::type MatrixTypeNestedCleaned; @@ -305,7 +332,7 @@ struct ei_permut_matrix_product_retval Dest, Side==OnTheLeft ? 1 : Dest::RowsAtCompileTime, Side==OnTheRight ? 1 : Dest::ColsAtCompileTime - >(dst, Side==OnTheLeft ? m_permutation.indices().coeff(i) : i) + >(dst, ((Side==OnTheLeft) ^ Transposed) ? m_permutation.indices().coeff(i) : i) = @@ -313,7 +340,7 @@ struct ei_permut_matrix_product_retval MatrixTypeNestedCleaned, Side==OnTheLeft ? 1 : MatrixType::RowsAtCompileTime, Side==OnTheRight ? 1 : MatrixType::ColsAtCompileTime - >(m_matrix, Side==OnTheRight ? m_permutation.indices().coeff(i) : i); + >(m_matrix, ((Side==OnTheRight) ^ Transposed) ? m_permutation.indices().coeff(i) : i); } } @@ -322,4 +349,78 @@ struct ei_permut_matrix_product_retval const typename MatrixType::Nested m_matrix; }; +/* Template partial specialization for transposed/inverse permutations */ + +template<int SizeAtCompileTime, int MaxSizeAtCompileTime> +struct ei_traits<Transpose<PermutationMatrix<SizeAtCompileTime, MaxSizeAtCompileTime> > > + : ei_traits<Matrix<int,SizeAtCompileTime,SizeAtCompileTime,0,MaxSizeAtCompileTime,MaxSizeAtCompileTime> > +{}; + +template<int SizeAtCompileTime, int MaxSizeAtCompileTime> +class Transpose<PermutationMatrix<SizeAtCompileTime, MaxSizeAtCompileTime> > + : public EigenBase<Transpose<PermutationMatrix<SizeAtCompileTime, MaxSizeAtCompileTime> > > +{ + typedef PermutationMatrix<SizeAtCompileTime, MaxSizeAtCompileTime> PermutationType; + typedef typename PermutationType::IndicesType IndicesType; + public: + + #ifndef EIGEN_PARSED_BY_DOXYGEN + typedef ei_traits<PermutationType> Traits; + typedef Matrix<int,SizeAtCompileTime,SizeAtCompileTime,0,MaxSizeAtCompileTime,MaxSizeAtCompileTime> + DenseMatrixType; + enum { + Flags = Traits::Flags, + CoeffReadCost = Traits::CoeffReadCost, + RowsAtCompileTime = Traits::RowsAtCompileTime, + ColsAtCompileTime = Traits::ColsAtCompileTime, + MaxRowsAtCompileTime = Traits::MaxRowsAtCompileTime, + MaxColsAtCompileTime = Traits::MaxColsAtCompileTime + }; + typedef typename Traits::Scalar Scalar; + #endif + + Transpose(const PermutationType& p) : m_permutation(p) {} + + inline int rows() const { return m_permutation.rows(); } + inline int cols() const { return m_permutation.cols(); } + + #ifndef EIGEN_PARSED_BY_DOXYGEN + template<typename DenseDerived> + void evalTo(MatrixBase<DenseDerived>& other) const + { + other.setZero(); + for (int i=0; i<rows();++i) + other.coeffRef(i, m_permutation.indices().coeff(i)) = typename DenseDerived::Scalar(1); + } + #endif + + /** \return the equivalent permutation matrix */ + PermutationType eval() const { return *this; } + + DenseMatrixType toDenseMatrix() const { return *this; } + + /** \returns the matrix with the inverse permutation applied to the columns. + */ + template<typename Derived> friend + inline const ei_permut_matrix_product_retval<PermutationType, Derived, OnTheRight, true> + operator*(const MatrixBase<Derived>& matrix, const Transpose& trPerm) + { + return ei_permut_matrix_product_retval<PermutationType, Derived, OnTheRight, true>(trPerm.m_permutation, matrix.derived()); + } + + /** \returns the matrix with the inverse permutation applied to the rows. + */ + template<typename Derived> + inline const ei_permut_matrix_product_retval<PermutationType, Derived, OnTheLeft, true> + operator*(const MatrixBase<Derived>& matrix) const + { + return ei_permut_matrix_product_retval<PermutationType, Derived, OnTheLeft, true>(m_permutation, matrix.derived()); + } + + const PermutationType& nestedPermutation() const { return m_permutation; } + + protected: + const PermutationType& m_permutation; +}; + #endif // EIGEN_PERMUTATIONMATRIX_H |