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Diffstat (limited to 'extern/Eigen2/Eigen/src/Core/Transpose.h')
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-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra. Eigen itself is part of the KDE project.
-//
-// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
-//
-// Eigen is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 3 of the License, or (at your option) any later version.
-//
-// Alternatively, you can redistribute it and/or
-// modify it under the terms of the GNU General Public License as
-// published by the Free Software Foundation; either version 2 of
-// the License, or (at your option) any later version.
-//
-// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
-// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
-// GNU General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License and a copy of the GNU General Public License along with
-// Eigen. If not, see <http://www.gnu.org/licenses/>.
-
-#ifndef EIGEN_TRANSPOSE_H
-#define EIGEN_TRANSPOSE_H
-
-/** \class Transpose
- *
- * \brief Expression of the transpose of a matrix
- *
- * \param MatrixType the type of the object of which we are taking the transpose
- *
- * This class represents an expression of the transpose of a matrix.
- * It is the return type of MatrixBase::transpose() and MatrixBase::adjoint()
- * and most of the time this is the only way it is used.
- *
- * \sa MatrixBase::transpose(), MatrixBase::adjoint()
- */
-template<typename MatrixType>
-struct ei_traits<Transpose<MatrixType> >
-{
- typedef typename MatrixType::Scalar Scalar;
- typedef typename ei_nested<MatrixType>::type MatrixTypeNested;
- typedef typename ei_unref<MatrixTypeNested>::type _MatrixTypeNested;
- enum {
- RowsAtCompileTime = MatrixType::ColsAtCompileTime,
- ColsAtCompileTime = MatrixType::RowsAtCompileTime,
- MaxRowsAtCompileTime = MatrixType::MaxColsAtCompileTime,
- MaxColsAtCompileTime = MatrixType::MaxRowsAtCompileTime,
- Flags = ((int(_MatrixTypeNested::Flags) ^ RowMajorBit)
- & ~(LowerTriangularBit | UpperTriangularBit))
- | (int(_MatrixTypeNested::Flags)&UpperTriangularBit ? LowerTriangularBit : 0)
- | (int(_MatrixTypeNested::Flags)&LowerTriangularBit ? UpperTriangularBit : 0),
- CoeffReadCost = _MatrixTypeNested::CoeffReadCost
- };
-};
-
-template<typename MatrixType> class Transpose
- : public MatrixBase<Transpose<MatrixType> >
-{
- public:
-
- EIGEN_GENERIC_PUBLIC_INTERFACE(Transpose)
-
- inline Transpose(const MatrixType& matrix) : m_matrix(matrix) {}
-
- EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Transpose)
-
- inline int rows() const { return m_matrix.cols(); }
- inline int cols() const { return m_matrix.rows(); }
- inline int nonZeros() const { return m_matrix.nonZeros(); }
- inline int stride(void) const { return m_matrix.stride(); }
-
- inline Scalar& coeffRef(int row, int col)
- {
- return m_matrix.const_cast_derived().coeffRef(col, row);
- }
-
- inline const Scalar coeff(int row, int col) const
- {
- return m_matrix.coeff(col, row);
- }
-
- inline const Scalar coeff(int index) const
- {
- return m_matrix.coeff(index);
- }
-
- inline Scalar& coeffRef(int index)
- {
- return m_matrix.const_cast_derived().coeffRef(index);
- }
-
- template<int LoadMode>
- inline const PacketScalar packet(int row, int col) const
- {
- return m_matrix.template packet<LoadMode>(col, row);
- }
-
- template<int LoadMode>
- inline void writePacket(int row, int col, const PacketScalar& x)
- {
- m_matrix.const_cast_derived().template writePacket<LoadMode>(col, row, x);
- }
-
- template<int LoadMode>
- inline const PacketScalar packet(int index) const
- {
- return m_matrix.template packet<LoadMode>(index);
- }
-
- template<int LoadMode>
- inline void writePacket(int index, const PacketScalar& x)
- {
- m_matrix.const_cast_derived().template writePacket<LoadMode>(index, x);
- }
-
- protected:
- const typename MatrixType::Nested m_matrix;
-};
-
-/** \returns an expression of the transpose of *this.
- *
- * Example: \include MatrixBase_transpose.cpp
- * Output: \verbinclude MatrixBase_transpose.out
- *
- * \warning If you want to replace a matrix by its own transpose, do \b NOT do this:
- * \code
- * m = m.transpose(); // bug!!! caused by aliasing effect
- * \endcode
- * Instead, use the transposeInPlace() method:
- * \code
- * m.transposeInPlace();
- * \endcode
- * which gives Eigen good opportunities for optimization, or alternatively you can also do:
- * \code
- * m = m.transpose().eval();
- * \endcode
- *
- * \sa transposeInPlace(), adjoint() */
-template<typename Derived>
-inline Transpose<Derived>
-MatrixBase<Derived>::transpose()
-{
- return derived();
-}
-
-/** This is the const version of transpose().
- *
- * Make sure you read the warning for transpose() !
- *
- * \sa transposeInPlace(), adjoint() */
-template<typename Derived>
-inline const Transpose<Derived>
-MatrixBase<Derived>::transpose() const
-{
- return derived();
-}
-
-/** \returns an expression of the adjoint (i.e. conjugate transpose) of *this.
- *
- * Example: \include MatrixBase_adjoint.cpp
- * Output: \verbinclude MatrixBase_adjoint.out
- *
- * \warning If you want to replace a matrix by its own adjoint, do \b NOT do this:
- * \code
- * m = m.adjoint(); // bug!!! caused by aliasing effect
- * \endcode
- * Instead, do:
- * \code
- * m = m.adjoint().eval();
- * \endcode
- *
- * \sa transpose(), conjugate(), class Transpose, class ei_scalar_conjugate_op */
-template<typename Derived>
-inline const typename MatrixBase<Derived>::AdjointReturnType
-MatrixBase<Derived>::adjoint() const
-{
- return conjugate().nestByValue();
-}
-
-/***************************************************************************
-* "in place" transpose implementation
-***************************************************************************/
-
-template<typename MatrixType,
- bool IsSquare = (MatrixType::RowsAtCompileTime == MatrixType::ColsAtCompileTime) && MatrixType::RowsAtCompileTime!=Dynamic>
-struct ei_inplace_transpose_selector;
-
-template<typename MatrixType>
-struct ei_inplace_transpose_selector<MatrixType,true> { // square matrix
- static void run(MatrixType& m) {
- m.template part<StrictlyUpperTriangular>().swap(m.transpose());
- }
-};
-
-template<typename MatrixType>
-struct ei_inplace_transpose_selector<MatrixType,false> { // non square matrix
- static void run(MatrixType& m) {
- if (m.rows()==m.cols())
- m.template part<StrictlyUpperTriangular>().swap(m.transpose());
- else
- m = m.transpose().eval();
- }
-};
-
-/** This is the "in place" version of transpose: it transposes \c *this.
- *
- * In most cases it is probably better to simply use the transposed expression
- * of a matrix. However, when transposing the matrix data itself is really needed,
- * then this "in-place" version is probably the right choice because it provides
- * the following additional features:
- * - less error prone: doing the same operation with .transpose() requires special care:
- * \code m = m.transpose().eval(); \endcode
- * - no temporary object is created (currently only for squared matrices)
- * - it allows future optimizations (cache friendliness, etc.)
- *
- * \note if the matrix is not square, then \c *this must be a resizable matrix.
- *
- * \sa transpose(), adjoint() */
-template<typename Derived>
-inline void MatrixBase<Derived>::transposeInPlace()
-{
- ei_inplace_transpose_selector<Derived>::run(derived());
-}
-
-#endif // EIGEN_TRANSPOSE_H