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996 lines
35 KiB
C++
996 lines
35 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_PARSED_BY_DOXYGEN
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/** \internal expression type of a column */
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typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, 1, !IsRowMajor> ColXpr;
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typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, 1, !IsRowMajor> ConstColXpr;
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/** \internal expression type of a row */
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typedef Block<Derived, 1, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> RowXpr;
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typedef const Block<const Derived, 1, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> ConstRowXpr;
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/** \internal expression type of a block of whole columns */
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typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, Dynamic, !IsRowMajor> ColsBlockXpr;
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typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, Dynamic, !IsRowMajor> ConstColsBlockXpr;
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/** \internal expression type of a block of whole rows */
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typedef Block<Derived, Dynamic, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> RowsBlockXpr;
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typedef const Block<const Derived, Dynamic, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> ConstRowsBlockXpr;
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/** \internal expression type of a block of whole columns */
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template<int N> struct NColsBlockXpr { typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, N, !IsRowMajor> Type; };
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template<int N> struct ConstNColsBlockXpr { typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, N, !IsRowMajor> Type; };
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/** \internal expression type of a block of whole rows */
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template<int N> struct NRowsBlockXpr { typedef Block<Derived, N, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> Type; };
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template<int N> struct ConstNRowsBlockXpr { typedef const Block<const Derived, N, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> Type; };
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typedef VectorBlock<Derived> SegmentReturnType;
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typedef const VectorBlock<const Derived> ConstSegmentReturnType;
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template<int Size> struct FixedSegmentReturnType { typedef VectorBlock<Derived, Size> Type; };
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template<int Size> struct ConstFixedSegmentReturnType { typedef const VectorBlock<const Derived, Size> Type; };
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#endif // not EIGEN_PARSED_BY_DOXYGEN
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/** \returns a dynamic-size expression of a block in *this.
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*
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* \param startRow the first row in the block
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* \param startCol the first column in the block
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* \param blockRows the number of rows in the block
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* \param blockCols the number of columns in the block
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*
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* Example: \include MatrixBase_block_int_int_int_int.cpp
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* Output: \verbinclude MatrixBase_block_int_int_int_int.out
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*
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* \note Even though the returned expression has dynamic size, in the case
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* when it is applied to a fixed-size matrix, it inherits a fixed maximal size,
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* which means that evaluating it does not cause a dynamic memory allocation.
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*
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* \sa class Block, block(Index,Index)
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*/
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EIGEN_DEVICE_FUNC
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inline Block<Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols)
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{
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return Block<Derived>(derived(), startRow, startCol, blockRows, blockCols);
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}
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/** This is the const version of block(Index,Index,Index,Index). */
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols) const
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{
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return Block<const Derived>(derived(), startRow, startCol, blockRows, blockCols);
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}
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/** \returns a dynamic-size expression of a top-right corner of *this.
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*
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* \param cRows the number of rows in the corner
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* \param cCols the number of columns in the corner
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*
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* Example: \include MatrixBase_topRightCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_topRightCorner_int_int.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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EIGEN_DEVICE_FUNC
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inline Block<Derived> topRightCorner(Index cRows, Index cCols)
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{
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return Block<Derived>(derived(), 0, cols() - cCols, cRows, cCols);
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}
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/** This is the const version of topRightCorner(Index, Index).*/
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived> topRightCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived>(derived(), 0, cols() - cCols, cRows, cCols);
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}
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/** \returns an expression of a fixed-size top-right corner of *this.
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*
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* \tparam CRows the number of rows in the corner
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* \tparam CCols the number of columns in the corner
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*
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* Example: \include MatrixBase_template_int_int_topRightCorner.cpp
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* Output: \verbinclude MatrixBase_template_int_int_topRightCorner.out
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*
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* \sa class Block, block<int,int>(Index,Index)
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*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline Block<Derived, CRows, CCols> topRightCorner()
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{
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return Block<Derived, CRows, CCols>(derived(), 0, cols() - CCols);
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}
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/** This is the const version of topRightCorner<int, int>().*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived, CRows, CCols> topRightCorner() const
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{
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return Block<const Derived, CRows, CCols>(derived(), 0, cols() - CCols);
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}
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/** \returns an expression of a top-right corner of *this.
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*
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* \tparam CRows number of rows in corner as specified at compile-time
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* \tparam CCols number of columns in corner as specified at compile-time
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* \param cRows number of rows in corner as specified at run-time
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* \param cCols number of columns in corner as specified at run-time
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*
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* This function is mainly useful for corners where the number of rows is specified at compile-time
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* and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
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* information should not contradict. In other words, \a cRows should equal \a CRows unless
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* \a CRows is \a Dynamic, and the same for the number of columns.
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*
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* Example: \include MatrixBase_template_int_int_topRightCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_template_int_int_topRightCorner_int_int.out
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*
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* \sa class Block
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*/
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template<int CRows, int CCols>
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inline Block<Derived, CRows, CCols> topRightCorner(Index cRows, Index cCols)
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{
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return Block<Derived, CRows, CCols>(derived(), 0, cols() - cCols, cRows, cCols);
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}
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/** This is the const version of topRightCorner<int, int>(Index, Index).*/
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template<int CRows, int CCols>
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inline const Block<const Derived, CRows, CCols> topRightCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived, CRows, CCols>(derived(), 0, cols() - cCols, cRows, cCols);
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}
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/** \returns a dynamic-size expression of a top-left corner of *this.
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*
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* \param cRows the number of rows in the corner
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* \param cCols the number of columns in the corner
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*
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* Example: \include MatrixBase_topLeftCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_topLeftCorner_int_int.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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EIGEN_DEVICE_FUNC
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inline Block<Derived> topLeftCorner(Index cRows, Index cCols)
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{
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return Block<Derived>(derived(), 0, 0, cRows, cCols);
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}
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/** This is the const version of topLeftCorner(Index, Index).*/
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived> topLeftCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived>(derived(), 0, 0, cRows, cCols);
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}
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/** \returns an expression of a fixed-size top-left corner of *this.
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*
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* The template parameters CRows and CCols are the number of rows and columns in the corner.
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*
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* Example: \include MatrixBase_template_int_int_topLeftCorner.cpp
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* Output: \verbinclude MatrixBase_template_int_int_topLeftCorner.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline Block<Derived, CRows, CCols> topLeftCorner()
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{
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return Block<Derived, CRows, CCols>(derived(), 0, 0);
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}
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/** This is the const version of topLeftCorner<int, int>().*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived, CRows, CCols> topLeftCorner() const
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{
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return Block<const Derived, CRows, CCols>(derived(), 0, 0);
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}
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/** \returns an expression of a top-left corner of *this.
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*
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* \tparam CRows number of rows in corner as specified at compile-time
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* \tparam CCols number of columns in corner as specified at compile-time
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* \param cRows number of rows in corner as specified at run-time
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* \param cCols number of columns in corner as specified at run-time
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*
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* This function is mainly useful for corners where the number of rows is specified at compile-time
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* and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
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* information should not contradict. In other words, \a cRows should equal \a CRows unless
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* \a CRows is \a Dynamic, and the same for the number of columns.
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*
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* Example: \include MatrixBase_template_int_int_topLeftCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_template_int_int_topLeftCorner_int_int.out
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*
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* \sa class Block
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*/
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template<int CRows, int CCols>
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inline Block<Derived, CRows, CCols> topLeftCorner(Index cRows, Index cCols)
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{
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return Block<Derived, CRows, CCols>(derived(), 0, 0, cRows, cCols);
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}
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/** This is the const version of topLeftCorner<int, int>(Index, Index).*/
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template<int CRows, int CCols>
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inline const Block<const Derived, CRows, CCols> topLeftCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived, CRows, CCols>(derived(), 0, 0, cRows, cCols);
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}
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/** \returns a dynamic-size expression of a bottom-right corner of *this.
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*
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* \param cRows the number of rows in the corner
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* \param cCols the number of columns in the corner
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*
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* Example: \include MatrixBase_bottomRightCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_bottomRightCorner_int_int.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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EIGEN_DEVICE_FUNC
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inline Block<Derived> bottomRightCorner(Index cRows, Index cCols)
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{
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return Block<Derived>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
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}
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/** This is the const version of bottomRightCorner(Index, Index).*/
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived> bottomRightCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
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}
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/** \returns an expression of a fixed-size bottom-right corner of *this.
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*
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* The template parameters CRows and CCols are the number of rows and columns in the corner.
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*
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* Example: \include MatrixBase_template_int_int_bottomRightCorner.cpp
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* Output: \verbinclude MatrixBase_template_int_int_bottomRightCorner.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline Block<Derived, CRows, CCols> bottomRightCorner()
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{
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return Block<Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols);
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}
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/** This is the const version of bottomRightCorner<int, int>().*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived, CRows, CCols> bottomRightCorner() const
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{
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return Block<const Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols);
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}
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/** \returns an expression of a bottom-right corner of *this.
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*
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* \tparam CRows number of rows in corner as specified at compile-time
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* \tparam CCols number of columns in corner as specified at compile-time
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* \param cRows number of rows in corner as specified at run-time
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* \param cCols number of columns in corner as specified at run-time
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*
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* This function is mainly useful for corners where the number of rows is specified at compile-time
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* and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
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* information should not contradict. In other words, \a cRows should equal \a CRows unless
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* \a CRows is \a Dynamic, and the same for the number of columns.
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*
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* Example: \include MatrixBase_template_int_int_bottomRightCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_template_int_int_bottomRightCorner_int_int.out
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*
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* \sa class Block
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*/
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template<int CRows, int CCols>
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inline Block<Derived, CRows, CCols> bottomRightCorner(Index cRows, Index cCols)
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{
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return Block<Derived, CRows, CCols>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
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}
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/** This is the const version of bottomRightCorner<int, int>(Index, Index).*/
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template<int CRows, int CCols>
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inline const Block<const Derived, CRows, CCols> bottomRightCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived, CRows, CCols>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
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}
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/** \returns a dynamic-size expression of a bottom-left corner of *this.
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*
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* \param cRows the number of rows in the corner
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* \param cCols the number of columns in the corner
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*
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* Example: \include MatrixBase_bottomLeftCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_bottomLeftCorner_int_int.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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EIGEN_DEVICE_FUNC
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inline Block<Derived> bottomLeftCorner(Index cRows, Index cCols)
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{
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return Block<Derived>(derived(), rows() - cRows, 0, cRows, cCols);
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}
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/** This is the const version of bottomLeftCorner(Index, Index).*/
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived> bottomLeftCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived>(derived(), rows() - cRows, 0, cRows, cCols);
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}
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/** \returns an expression of a fixed-size bottom-left corner of *this.
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*
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* The template parameters CRows and CCols are the number of rows and columns in the corner.
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*
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* Example: \include MatrixBase_template_int_int_bottomLeftCorner.cpp
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* Output: \verbinclude MatrixBase_template_int_int_bottomLeftCorner.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline Block<Derived, CRows, CCols> bottomLeftCorner()
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{
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return Block<Derived, CRows, CCols>(derived(), rows() - CRows, 0);
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}
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/** This is the const version of bottomLeftCorner<int, int>().*/
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template<int CRows, int CCols>
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EIGEN_DEVICE_FUNC
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inline const Block<const Derived, CRows, CCols> bottomLeftCorner() const
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{
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return Block<const Derived, CRows, CCols>(derived(), rows() - CRows, 0);
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}
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/** \returns an expression of a bottom-left corner of *this.
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*
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* \tparam CRows number of rows in corner as specified at compile-time
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* \tparam CCols number of columns in corner as specified at compile-time
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* \param cRows number of rows in corner as specified at run-time
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* \param cCols number of columns in corner as specified at run-time
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*
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* This function is mainly useful for corners where the number of rows is specified at compile-time
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* and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
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* information should not contradict. In other words, \a cRows should equal \a CRows unless
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* \a CRows is \a Dynamic, and the same for the number of columns.
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*
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* Example: \include MatrixBase_template_int_int_bottomLeftCorner_int_int.cpp
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* Output: \verbinclude MatrixBase_template_int_int_bottomLeftCorner_int_int.out
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*
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* \sa class Block
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*/
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template<int CRows, int CCols>
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inline Block<Derived, CRows, CCols> bottomLeftCorner(Index cRows, Index cCols)
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{
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return Block<Derived, CRows, CCols>(derived(), rows() - cRows, 0, cRows, cCols);
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}
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/** This is the const version of bottomLeftCorner<int, int>(Index, Index).*/
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template<int CRows, int CCols>
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inline const Block<const Derived, CRows, CCols> bottomLeftCorner(Index cRows, Index cCols) const
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{
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return Block<const Derived, CRows, CCols>(derived(), rows() - cRows, 0, cRows, cCols);
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}
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/** \returns a block consisting of the top rows of *this.
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*
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* \param n the number of rows in the block
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*
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* Example: \include MatrixBase_topRows_int.cpp
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* Output: \verbinclude MatrixBase_topRows_int.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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EIGEN_DEVICE_FUNC
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inline RowsBlockXpr topRows(Index n)
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{
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return RowsBlockXpr(derived(), 0, 0, n, cols());
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}
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/** This is the const version of topRows(Index).*/
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EIGEN_DEVICE_FUNC
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inline ConstRowsBlockXpr topRows(Index n) const
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{
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return ConstRowsBlockXpr(derived(), 0, 0, n, cols());
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}
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/** \returns a block consisting of the top rows of *this.
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*
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* \tparam N the number of rows in the block as specified at compile-time
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* \param n the number of rows in the block as specified at run-time
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*
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* The compile-time and run-time information should not contradict. In other words,
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* \a n should equal \a N unless \a N is \a Dynamic.
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*
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* Example: \include MatrixBase_template_int_topRows.cpp
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* Output: \verbinclude MatrixBase_template_int_topRows.out
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*
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* \sa class Block, block(Index,Index,Index,Index)
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*/
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template<int N>
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EIGEN_DEVICE_FUNC
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inline typename NRowsBlockXpr<N>::Type topRows(Index n = N)
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{
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return typename NRowsBlockXpr<N>::Type(derived(), 0, 0, n, cols());
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}
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|
/** This is the const version of topRows<int>().*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstNRowsBlockXpr<N>::Type topRows(Index n = N) const
|
|
{
|
|
return typename ConstNRowsBlockXpr<N>::Type(derived(), 0, 0, n, cols());
|
|
}
|
|
|
|
|
|
|
|
/** \returns a block consisting of the bottom rows of *this.
|
|
*
|
|
* \param n the number of rows in the block
|
|
*
|
|
* Example: \include MatrixBase_bottomRows_int.cpp
|
|
* Output: \verbinclude MatrixBase_bottomRows_int.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline RowsBlockXpr bottomRows(Index n)
|
|
{
|
|
return RowsBlockXpr(derived(), rows() - n, 0, n, cols());
|
|
}
|
|
|
|
/** This is the const version of bottomRows(Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstRowsBlockXpr bottomRows(Index n) const
|
|
{
|
|
return ConstRowsBlockXpr(derived(), rows() - n, 0, n, cols());
|
|
}
|
|
|
|
/** \returns a block consisting of the bottom rows of *this.
|
|
*
|
|
* \tparam N the number of rows in the block as specified at compile-time
|
|
* \param n the number of rows in the block as specified at run-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include MatrixBase_template_int_bottomRows.cpp
|
|
* Output: \verbinclude MatrixBase_template_int_bottomRows.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename NRowsBlockXpr<N>::Type bottomRows(Index n = N)
|
|
{
|
|
return typename NRowsBlockXpr<N>::Type(derived(), rows() - n, 0, n, cols());
|
|
}
|
|
|
|
/** This is the const version of bottomRows<int>().*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstNRowsBlockXpr<N>::Type bottomRows(Index n = N) const
|
|
{
|
|
return typename ConstNRowsBlockXpr<N>::Type(derived(), rows() - n, 0, n, cols());
|
|
}
|
|
|
|
|
|
|
|
/** \returns a block consisting of a range of rows of *this.
|
|
*
|
|
* \param startRow the index of the first row in the block
|
|
* \param n the number of rows in the block
|
|
*
|
|
* Example: \include DenseBase_middleRows_int.cpp
|
|
* Output: \verbinclude DenseBase_middleRows_int.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline RowsBlockXpr middleRows(Index startRow, Index n)
|
|
{
|
|
return RowsBlockXpr(derived(), startRow, 0, n, cols());
|
|
}
|
|
|
|
/** This is the const version of middleRows(Index,Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstRowsBlockXpr middleRows(Index startRow, Index n) const
|
|
{
|
|
return ConstRowsBlockXpr(derived(), startRow, 0, n, cols());
|
|
}
|
|
|
|
/** \returns a block consisting of a range of rows of *this.
|
|
*
|
|
* \tparam N the number of rows in the block as specified at compile-time
|
|
* \param startRow the index of the first row in the block
|
|
* \param n the number of rows in the block as specified at run-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include DenseBase_template_int_middleRows.cpp
|
|
* Output: \verbinclude DenseBase_template_int_middleRows.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename NRowsBlockXpr<N>::Type middleRows(Index startRow, Index n = N)
|
|
{
|
|
return typename NRowsBlockXpr<N>::Type(derived(), startRow, 0, n, cols());
|
|
}
|
|
|
|
/** This is the const version of middleRows<int>().*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstNRowsBlockXpr<N>::Type middleRows(Index startRow, Index n = N) const
|
|
{
|
|
return typename ConstNRowsBlockXpr<N>::Type(derived(), startRow, 0, n, cols());
|
|
}
|
|
|
|
|
|
|
|
/** \returns a block consisting of the left columns of *this.
|
|
*
|
|
* \param n the number of columns in the block
|
|
*
|
|
* Example: \include MatrixBase_leftCols_int.cpp
|
|
* Output: \verbinclude MatrixBase_leftCols_int.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ColsBlockXpr leftCols(Index n)
|
|
{
|
|
return ColsBlockXpr(derived(), 0, 0, rows(), n);
|
|
}
|
|
|
|
/** This is the const version of leftCols(Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstColsBlockXpr leftCols(Index n) const
|
|
{
|
|
return ConstColsBlockXpr(derived(), 0, 0, rows(), n);
|
|
}
|
|
|
|
/** \returns a block consisting of the left columns of *this.
|
|
*
|
|
* \tparam N the number of columns in the block as specified at compile-time
|
|
* \param n the number of columns in the block as specified at run-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include MatrixBase_template_int_leftCols.cpp
|
|
* Output: \verbinclude MatrixBase_template_int_leftCols.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename NColsBlockXpr<N>::Type leftCols(Index n = N)
|
|
{
|
|
return typename NColsBlockXpr<N>::Type(derived(), 0, 0, rows(), n);
|
|
}
|
|
|
|
/** This is the const version of leftCols<int>().*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstNColsBlockXpr<N>::Type leftCols(Index n = N) const
|
|
{
|
|
return typename ConstNColsBlockXpr<N>::Type(derived(), 0, 0, rows(), n);
|
|
}
|
|
|
|
|
|
|
|
/** \returns a block consisting of the right columns of *this.
|
|
*
|
|
* \param n the number of columns in the block
|
|
*
|
|
* Example: \include MatrixBase_rightCols_int.cpp
|
|
* Output: \verbinclude MatrixBase_rightCols_int.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ColsBlockXpr rightCols(Index n)
|
|
{
|
|
return ColsBlockXpr(derived(), 0, cols() - n, rows(), n);
|
|
}
|
|
|
|
/** This is the const version of rightCols(Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstColsBlockXpr rightCols(Index n) const
|
|
{
|
|
return ConstColsBlockXpr(derived(), 0, cols() - n, rows(), n);
|
|
}
|
|
|
|
/** \returns a block consisting of the right columns of *this.
|
|
*
|
|
* \tparam N the number of columns in the block as specified at compile-time
|
|
* \param n the number of columns in the block as specified at run-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include MatrixBase_template_int_rightCols.cpp
|
|
* Output: \verbinclude MatrixBase_template_int_rightCols.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename NColsBlockXpr<N>::Type rightCols(Index n = N)
|
|
{
|
|
return typename NColsBlockXpr<N>::Type(derived(), 0, cols() - n, rows(), n);
|
|
}
|
|
|
|
/** This is the const version of rightCols<int>().*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstNColsBlockXpr<N>::Type rightCols(Index n = N) const
|
|
{
|
|
return typename ConstNColsBlockXpr<N>::Type(derived(), 0, cols() - n, rows(), n);
|
|
}
|
|
|
|
|
|
|
|
/** \returns a block consisting of a range of columns of *this.
|
|
*
|
|
* \param startCol the index of the first column in the block
|
|
* \param numCols the number of columns in the block
|
|
*
|
|
* Example: \include DenseBase_middleCols_int.cpp
|
|
* Output: \verbinclude DenseBase_middleCols_int.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ColsBlockXpr middleCols(Index startCol, Index numCols)
|
|
{
|
|
return ColsBlockXpr(derived(), 0, startCol, rows(), numCols);
|
|
}
|
|
|
|
/** This is the const version of middleCols(Index,Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstColsBlockXpr middleCols(Index startCol, Index numCols) const
|
|
{
|
|
return ConstColsBlockXpr(derived(), 0, startCol, rows(), numCols);
|
|
}
|
|
|
|
/** \returns a block consisting of a range of columns of *this.
|
|
*
|
|
* \tparam N the number of columns in the block as specified at compile-time
|
|
* \param startCol the index of the first column in the block
|
|
* \param n the number of columns in the block as specified at run-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include DenseBase_template_int_middleCols.cpp
|
|
* Output: \verbinclude DenseBase_template_int_middleCols.out
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename NColsBlockXpr<N>::Type middleCols(Index startCol, Index n = N)
|
|
{
|
|
return typename NColsBlockXpr<N>::Type(derived(), 0, startCol, rows(), n);
|
|
}
|
|
|
|
/** This is the const version of middleCols<int>().*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstNColsBlockXpr<N>::Type middleCols(Index startCol, Index n = N) const
|
|
{
|
|
return typename ConstNColsBlockXpr<N>::Type(derived(), 0, startCol, rows(), n);
|
|
}
|
|
|
|
|
|
|
|
/** \returns a fixed-size expression of a block in *this.
|
|
*
|
|
* The template parameters \a BlockRows and \a BlockCols are the number of
|
|
* rows and columns in the block.
|
|
*
|
|
* \param startRow the first row in the block
|
|
* \param startCol the first column in the block
|
|
*
|
|
* Example: \include MatrixBase_block_int_int.cpp
|
|
* Output: \verbinclude MatrixBase_block_int_int.out
|
|
*
|
|
* \note since block is a templated member, the keyword template has to be used
|
|
* if the matrix type is also a template parameter: \code m.template block<3,3>(1,1); \endcode
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
template<int BlockRows, int BlockCols>
|
|
EIGEN_DEVICE_FUNC
|
|
inline Block<Derived, BlockRows, BlockCols> block(Index startRow, Index startCol)
|
|
{
|
|
return Block<Derived, BlockRows, BlockCols>(derived(), startRow, startCol);
|
|
}
|
|
|
|
/** This is the const version of block<>(Index, Index). */
|
|
template<int BlockRows, int BlockCols>
|
|
EIGEN_DEVICE_FUNC
|
|
inline const Block<const Derived, BlockRows, BlockCols> block(Index startRow, Index startCol) const
|
|
{
|
|
return Block<const Derived, BlockRows, BlockCols>(derived(), startRow, startCol);
|
|
}
|
|
|
|
/** \returns an expression of a block in *this.
|
|
*
|
|
* \tparam BlockRows number of rows in block as specified at compile-time
|
|
* \tparam BlockCols number of columns in block as specified at compile-time
|
|
* \param startRow the first row in the block
|
|
* \param startCol the first column in the block
|
|
* \param blockRows number of rows in block as specified at run-time
|
|
* \param blockCols number of columns in block as specified at run-time
|
|
*
|
|
* This function is mainly useful for blocks where the number of rows is specified at compile-time
|
|
* and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
|
|
* information should not contradict. In other words, \a blockRows should equal \a BlockRows unless
|
|
* \a BlockRows is \a Dynamic, and the same for the number of columns.
|
|
*
|
|
* Example: \include MatrixBase_template_int_int_block_int_int_int_int.cpp
|
|
* Output: \verbinclude MatrixBase_template_int_int_block_int_int_int_int.cpp
|
|
*
|
|
* \sa class Block, block(Index,Index,Index,Index)
|
|
*/
|
|
template<int BlockRows, int BlockCols>
|
|
inline Block<Derived, BlockRows, BlockCols> block(Index startRow, Index startCol,
|
|
Index blockRows, Index blockCols)
|
|
{
|
|
return Block<Derived, BlockRows, BlockCols>(derived(), startRow, startCol, blockRows, blockCols);
|
|
}
|
|
|
|
/** This is the const version of block<>(Index, Index, Index, Index). */
|
|
template<int BlockRows, int BlockCols>
|
|
inline const Block<const Derived, BlockRows, BlockCols> block(Index startRow, Index startCol,
|
|
Index blockRows, Index blockCols) const
|
|
{
|
|
return Block<const Derived, BlockRows, BlockCols>(derived(), startRow, startCol, blockRows, blockCols);
|
|
}
|
|
|
|
/** \returns an expression of the \a i-th column of *this. Note that the numbering starts at 0.
|
|
*
|
|
* Example: \include MatrixBase_col.cpp
|
|
* Output: \verbinclude MatrixBase_col.out
|
|
*
|
|
* \sa row(), class Block */
|
|
EIGEN_DEVICE_FUNC
|
|
inline ColXpr col(Index i)
|
|
{
|
|
return ColXpr(derived(), i);
|
|
}
|
|
|
|
/** This is the const version of col(). */
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstColXpr col(Index i) const
|
|
{
|
|
return ConstColXpr(derived(), i);
|
|
}
|
|
|
|
/** \returns an expression of the \a i-th row of *this. Note that the numbering starts at 0.
|
|
*
|
|
* Example: \include MatrixBase_row.cpp
|
|
* Output: \verbinclude MatrixBase_row.out
|
|
*
|
|
* \sa col(), class Block */
|
|
EIGEN_DEVICE_FUNC
|
|
inline RowXpr row(Index i)
|
|
{
|
|
return RowXpr(derived(), i);
|
|
}
|
|
|
|
/** This is the const version of row(). */
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstRowXpr row(Index i) const
|
|
{
|
|
return ConstRowXpr(derived(), i);
|
|
}
|
|
|
|
/** \returns a dynamic-size expression of a segment (i.e. a vector block) in *this.
|
|
*
|
|
* \only_for_vectors
|
|
*
|
|
* \param start the first coefficient in the segment
|
|
* \param n the number of coefficients in the segment
|
|
*
|
|
* Example: \include MatrixBase_segment_int_int.cpp
|
|
* Output: \verbinclude MatrixBase_segment_int_int.out
|
|
*
|
|
* \note Even though the returned expression has dynamic size, in the case
|
|
* when it is applied to a fixed-size vector, it inherits a fixed maximal size,
|
|
* which means that evaluating it does not cause a dynamic memory allocation.
|
|
*
|
|
* \sa class Block, segment(Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline SegmentReturnType segment(Index start, Index n)
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return SegmentReturnType(derived(), start, n);
|
|
}
|
|
|
|
|
|
/** This is the const version of segment(Index,Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstSegmentReturnType segment(Index start, Index n) const
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return ConstSegmentReturnType(derived(), start, n);
|
|
}
|
|
|
|
/** \returns a dynamic-size expression of the first coefficients of *this.
|
|
*
|
|
* \only_for_vectors
|
|
*
|
|
* \param n the number of coefficients in the segment
|
|
*
|
|
* Example: \include MatrixBase_start_int.cpp
|
|
* Output: \verbinclude MatrixBase_start_int.out
|
|
*
|
|
* \note Even though the returned expression has dynamic size, in the case
|
|
* when it is applied to a fixed-size vector, it inherits a fixed maximal size,
|
|
* which means that evaluating it does not cause a dynamic memory allocation.
|
|
*
|
|
* \sa class Block, block(Index,Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline SegmentReturnType head(Index n)
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return SegmentReturnType(derived(), 0, n);
|
|
}
|
|
|
|
/** This is the const version of head(Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstSegmentReturnType head(Index n) const
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return ConstSegmentReturnType(derived(), 0, n);
|
|
}
|
|
|
|
/** \returns a dynamic-size expression of the last coefficients of *this.
|
|
*
|
|
* \only_for_vectors
|
|
*
|
|
* \param n the number of coefficients in the segment
|
|
*
|
|
* Example: \include MatrixBase_end_int.cpp
|
|
* Output: \verbinclude MatrixBase_end_int.out
|
|
*
|
|
* \note Even though the returned expression has dynamic size, in the case
|
|
* when it is applied to a fixed-size vector, it inherits a fixed maximal size,
|
|
* which means that evaluating it does not cause a dynamic memory allocation.
|
|
*
|
|
* \sa class Block, block(Index,Index)
|
|
*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline SegmentReturnType tail(Index n)
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return SegmentReturnType(derived(), this->size() - n, n);
|
|
}
|
|
|
|
/** This is the const version of tail(Index).*/
|
|
EIGEN_DEVICE_FUNC
|
|
inline ConstSegmentReturnType tail(Index n) const
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return ConstSegmentReturnType(derived(), this->size() - n, n);
|
|
}
|
|
|
|
/** \returns a fixed-size expression of a segment (i.e. a vector block) in \c *this
|
|
*
|
|
* \only_for_vectors
|
|
*
|
|
* \tparam N the number of coefficients in the segment as specified at compile-time
|
|
* \param start the index of the first element in the segment
|
|
* \param n the number of coefficients in the segment as specified at compile-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include MatrixBase_template_int_segment.cpp
|
|
* Output: \verbinclude MatrixBase_template_int_segment.out
|
|
*
|
|
* \sa class Block
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename FixedSegmentReturnType<N>::Type segment(Index start, Index n = N)
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return typename FixedSegmentReturnType<N>::Type(derived(), start, n);
|
|
}
|
|
|
|
/** This is the const version of segment<int>(Index).*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstFixedSegmentReturnType<N>::Type segment(Index start, Index n = N) const
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return typename ConstFixedSegmentReturnType<N>::Type(derived(), start, n);
|
|
}
|
|
|
|
/** \returns a fixed-size expression of the first coefficients of *this.
|
|
*
|
|
* \only_for_vectors
|
|
*
|
|
* \tparam N the number of coefficients in the segment as specified at compile-time
|
|
* \param n the number of coefficients in the segment as specified at run-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include MatrixBase_template_int_start.cpp
|
|
* Output: \verbinclude MatrixBase_template_int_start.out
|
|
*
|
|
* \sa class Block
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename FixedSegmentReturnType<N>::Type head(Index n = N)
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return typename FixedSegmentReturnType<N>::Type(derived(), 0, n);
|
|
}
|
|
|
|
/** This is the const version of head<int>().*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstFixedSegmentReturnType<N>::Type head(Index n = N) const
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return typename ConstFixedSegmentReturnType<N>::Type(derived(), 0, n);
|
|
}
|
|
|
|
/** \returns a fixed-size expression of the last coefficients of *this.
|
|
*
|
|
* \only_for_vectors
|
|
*
|
|
* \tparam N the number of coefficients in the segment as specified at compile-time
|
|
* \param n the number of coefficients in the segment as specified at run-time
|
|
*
|
|
* The compile-time and run-time information should not contradict. In other words,
|
|
* \a n should equal \a N unless \a N is \a Dynamic.
|
|
*
|
|
* Example: \include MatrixBase_template_int_end.cpp
|
|
* Output: \verbinclude MatrixBase_template_int_end.out
|
|
*
|
|
* \sa class Block
|
|
*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename FixedSegmentReturnType<N>::Type tail(Index n = N)
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return typename FixedSegmentReturnType<N>::Type(derived(), size() - n);
|
|
}
|
|
|
|
/** This is the const version of tail<int>.*/
|
|
template<int N>
|
|
EIGEN_DEVICE_FUNC
|
|
inline typename ConstFixedSegmentReturnType<N>::Type tail(Index n = N) const
|
|
{
|
|
EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
|
|
return typename ConstFixedSegmentReturnType<N>::Type(derived(), size() - n);
|
|
}
|