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diff --git a/eigen/Eigen/src/plugins/BlockMethods.h b/eigen/Eigen/src/plugins/BlockMethods.h new file mode 100644 index 0000000..2788251 --- /dev/null +++ b/eigen/Eigen/src/plugins/BlockMethods.h @@ -0,0 +1,935 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr> +// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com> +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + + +#ifndef EIGEN_PARSED_BY_DOXYGEN + +/** \internal expression type of a column */ +typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, 1, !IsRowMajor> ColXpr; +typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, 1, !IsRowMajor> ConstColXpr; +/** \internal expression type of a row */ +typedef Block<Derived, 1, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> RowXpr; +typedef const Block<const Derived, 1, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> ConstRowXpr; +/** \internal expression type of a block of whole columns */ +typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, Dynamic, !IsRowMajor> ColsBlockXpr; +typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, Dynamic, !IsRowMajor> ConstColsBlockXpr; +/** \internal expression type of a block of whole rows */ +typedef Block<Derived, Dynamic, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> RowsBlockXpr; +typedef const Block<const Derived, Dynamic, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> ConstRowsBlockXpr; +/** \internal expression type of a block of whole columns */ +template<int N> struct NColsBlockXpr { typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, N, !IsRowMajor> Type; }; +template<int N> struct ConstNColsBlockXpr { typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, N, !IsRowMajor> Type; }; +/** \internal expression type of a block of whole rows */ +template<int N> struct NRowsBlockXpr { typedef Block<Derived, N, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> Type; }; +template<int N> struct ConstNRowsBlockXpr { typedef const Block<const Derived, N, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> Type; }; + +typedef VectorBlock<Derived> SegmentReturnType; +typedef const VectorBlock<const Derived> ConstSegmentReturnType; +template<int Size> struct FixedSegmentReturnType { typedef VectorBlock<Derived, Size> Type; }; +template<int Size> struct ConstFixedSegmentReturnType { typedef const VectorBlock<const Derived, Size> Type; }; + +#endif // not EIGEN_PARSED_BY_DOXYGEN + +/** \returns a dynamic-size expression of a block in *this. + * + * \param startRow the first row in the block + * \param startCol the first column in the block + * \param blockRows the number of rows in the block + * \param blockCols the number of columns in the block + * + * Example: \include MatrixBase_block_int_int_int_int.cpp + * Output: \verbinclude MatrixBase_block_int_int_int_int.out + * + * \note Even though the returned expression has dynamic size, in the case + * when it is applied to a fixed-size matrix, it inherits a fixed maximal size, + * which means that evaluating it does not cause a dynamic memory allocation. + * + * \sa class Block, block(Index,Index) + */ +inline Block<Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols) +{ + return Block<Derived>(derived(), startRow, startCol, blockRows, blockCols); +} + +/** This is the const version of block(Index,Index,Index,Index). */ +inline const Block<const Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols) const +{ + return Block<const Derived>(derived(), startRow, startCol, blockRows, blockCols); +} + + + + +/** \returns a dynamic-size expression of a top-right corner of *this. + * + * \param cRows the number of rows in the corner + * \param cCols the number of columns in the corner + * + * Example: \include MatrixBase_topRightCorner_int_int.cpp + * Output: \verbinclude MatrixBase_topRightCorner_int_int.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +inline Block<Derived> topRightCorner(Index cRows, Index cCols) +{ + return Block<Derived>(derived(), 0, cols() - cCols, cRows, cCols); +} + +/** This is the const version of topRightCorner(Index, Index).*/ +inline const Block<const Derived> topRightCorner(Index cRows, Index cCols) const +{ + return Block<const Derived>(derived(), 0, cols() - cCols, cRows, cCols); +} + +/** \returns an expression of a fixed-size top-right corner of *this. + * + * \tparam CRows the number of rows in the corner + * \tparam CCols the number of columns in the corner + * + * Example: \include MatrixBase_template_int_int_topRightCorner.cpp + * Output: \verbinclude MatrixBase_template_int_int_topRightCorner.out + * + * \sa class Block, block<int,int>(Index,Index) + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> topRightCorner() +{ + return Block<Derived, CRows, CCols>(derived(), 0, cols() - CCols); +} + +/** This is the const version of topRightCorner<int, int>().*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> topRightCorner() const +{ + return Block<const Derived, CRows, CCols>(derived(), 0, cols() - CCols); +} + +/** \returns an expression of a top-right corner of *this. + * + * \tparam CRows number of rows in corner as specified at compile-time + * \tparam CCols number of columns in corner as specified at compile-time + * \param cRows number of rows in corner as specified at run-time + * \param cCols number of columns in corner as specified at run-time + * + * This function is mainly useful for corners 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 cRows should equal \a CRows unless + * \a CRows is \a Dynamic, and the same for the number of columns. + * + * Example: \include MatrixBase_template_int_int_topRightCorner_int_int.cpp + * Output: \verbinclude MatrixBase_template_int_int_topRightCorner_int_int.out + * + * \sa class Block + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> topRightCorner(Index cRows, Index cCols) +{ + return Block<Derived, CRows, CCols>(derived(), 0, cols() - cCols, cRows, cCols); +} + +/** This is the const version of topRightCorner<int, int>(Index, Index).*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> topRightCorner(Index cRows, Index cCols) const +{ + return Block<const Derived, CRows, CCols>(derived(), 0, cols() - cCols, cRows, cCols); +} + + + +/** \returns a dynamic-size expression of a top-left corner of *this. + * + * \param cRows the number of rows in the corner + * \param cCols the number of columns in the corner + * + * Example: \include MatrixBase_topLeftCorner_int_int.cpp + * Output: \verbinclude MatrixBase_topLeftCorner_int_int.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +inline Block<Derived> topLeftCorner(Index cRows, Index cCols) +{ + return Block<Derived>(derived(), 0, 0, cRows, cCols); +} + +/** This is the const version of topLeftCorner(Index, Index).*/ +inline const Block<const Derived> topLeftCorner(Index cRows, Index cCols) const +{ + return Block<const Derived>(derived(), 0, 0, cRows, cCols); +} + +/** \returns an expression of a fixed-size top-left corner of *this. + * + * The template parameters CRows and CCols are the number of rows and columns in the corner. + * + * Example: \include MatrixBase_template_int_int_topLeftCorner.cpp + * Output: \verbinclude MatrixBase_template_int_int_topLeftCorner.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> topLeftCorner() +{ + return Block<Derived, CRows, CCols>(derived(), 0, 0); +} + +/** This is the const version of topLeftCorner<int, int>().*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> topLeftCorner() const +{ + return Block<const Derived, CRows, CCols>(derived(), 0, 0); +} + +/** \returns an expression of a top-left corner of *this. + * + * \tparam CRows number of rows in corner as specified at compile-time + * \tparam CCols number of columns in corner as specified at compile-time + * \param cRows number of rows in corner as specified at run-time + * \param cCols number of columns in corner as specified at run-time + * + * This function is mainly useful for corners 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 cRows should equal \a CRows unless + * \a CRows is \a Dynamic, and the same for the number of columns. + * + * Example: \include MatrixBase_template_int_int_topLeftCorner_int_int.cpp + * Output: \verbinclude MatrixBase_template_int_int_topLeftCorner_int_int.out + * + * \sa class Block + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> topLeftCorner(Index cRows, Index cCols) +{ + return Block<Derived, CRows, CCols>(derived(), 0, 0, cRows, cCols); +} + +/** This is the const version of topLeftCorner<int, int>(Index, Index).*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> topLeftCorner(Index cRows, Index cCols) const +{ + return Block<const Derived, CRows, CCols>(derived(), 0, 0, cRows, cCols); +} + + + +/** \returns a dynamic-size expression of a bottom-right corner of *this. + * + * \param cRows the number of rows in the corner + * \param cCols the number of columns in the corner + * + * Example: \include MatrixBase_bottomRightCorner_int_int.cpp + * Output: \verbinclude MatrixBase_bottomRightCorner_int_int.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +inline Block<Derived> bottomRightCorner(Index cRows, Index cCols) +{ + return Block<Derived>(derived(), rows() - cRows, cols() - cCols, cRows, cCols); +} + +/** This is the const version of bottomRightCorner(Index, Index).*/ +inline const Block<const Derived> bottomRightCorner(Index cRows, Index cCols) const +{ + return Block<const Derived>(derived(), rows() - cRows, cols() - cCols, cRows, cCols); +} + +/** \returns an expression of a fixed-size bottom-right corner of *this. + * + * The template parameters CRows and CCols are the number of rows and columns in the corner. + * + * Example: \include MatrixBase_template_int_int_bottomRightCorner.cpp + * Output: \verbinclude MatrixBase_template_int_int_bottomRightCorner.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> bottomRightCorner() +{ + return Block<Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols); +} + +/** This is the const version of bottomRightCorner<int, int>().*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> bottomRightCorner() const +{ + return Block<const Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols); +} + +/** \returns an expression of a bottom-right corner of *this. + * + * \tparam CRows number of rows in corner as specified at compile-time + * \tparam CCols number of columns in corner as specified at compile-time + * \param cRows number of rows in corner as specified at run-time + * \param cCols number of columns in corner as specified at run-time + * + * This function is mainly useful for corners 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 cRows should equal \a CRows unless + * \a CRows is \a Dynamic, and the same for the number of columns. + * + * Example: \include MatrixBase_template_int_int_bottomRightCorner_int_int.cpp + * Output: \verbinclude MatrixBase_template_int_int_bottomRightCorner_int_int.out + * + * \sa class Block + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> bottomRightCorner(Index cRows, Index cCols) +{ + return Block<Derived, CRows, CCols>(derived(), rows() - cRows, cols() - cCols, cRows, cCols); +} + +/** This is the const version of bottomRightCorner<int, int>(Index, Index).*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> bottomRightCorner(Index cRows, Index cCols) const +{ + return Block<const Derived, CRows, CCols>(derived(), rows() - cRows, cols() - cCols, cRows, cCols); +} + + + +/** \returns a dynamic-size expression of a bottom-left corner of *this. + * + * \param cRows the number of rows in the corner + * \param cCols the number of columns in the corner + * + * Example: \include MatrixBase_bottomLeftCorner_int_int.cpp + * Output: \verbinclude MatrixBase_bottomLeftCorner_int_int.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +inline Block<Derived> bottomLeftCorner(Index cRows, Index cCols) +{ + return Block<Derived>(derived(), rows() - cRows, 0, cRows, cCols); +} + +/** This is the const version of bottomLeftCorner(Index, Index).*/ +inline const Block<const Derived> bottomLeftCorner(Index cRows, Index cCols) const +{ + return Block<const Derived>(derived(), rows() - cRows, 0, cRows, cCols); +} + +/** \returns an expression of a fixed-size bottom-left corner of *this. + * + * The template parameters CRows and CCols are the number of rows and columns in the corner. + * + * Example: \include MatrixBase_template_int_int_bottomLeftCorner.cpp + * Output: \verbinclude MatrixBase_template_int_int_bottomLeftCorner.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> bottomLeftCorner() +{ + return Block<Derived, CRows, CCols>(derived(), rows() - CRows, 0); +} + +/** This is the const version of bottomLeftCorner<int, int>().*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> bottomLeftCorner() const +{ + return Block<const Derived, CRows, CCols>(derived(), rows() - CRows, 0); +} + +/** \returns an expression of a bottom-left corner of *this. + * + * \tparam CRows number of rows in corner as specified at compile-time + * \tparam CCols number of columns in corner as specified at compile-time + * \param cRows number of rows in corner as specified at run-time + * \param cCols number of columns in corner as specified at run-time + * + * This function is mainly useful for corners 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 cRows should equal \a CRows unless + * \a CRows is \a Dynamic, and the same for the number of columns. + * + * Example: \include MatrixBase_template_int_int_bottomLeftCorner_int_int.cpp + * Output: \verbinclude MatrixBase_template_int_int_bottomLeftCorner_int_int.out + * + * \sa class Block + */ +template<int CRows, int CCols> +inline Block<Derived, CRows, CCols> bottomLeftCorner(Index cRows, Index cCols) +{ + return Block<Derived, CRows, CCols>(derived(), rows() - cRows, 0, cRows, cCols); +} + +/** This is the const version of bottomLeftCorner<int, int>(Index, Index).*/ +template<int CRows, int CCols> +inline const Block<const Derived, CRows, CCols> bottomLeftCorner(Index cRows, Index cCols) const +{ + return Block<const Derived, CRows, CCols>(derived(), rows() - cRows, 0, cRows, cCols); +} + + + +/** \returns a block consisting of the top rows of *this. + * + * \param n the number of rows in the block + * + * Example: \include MatrixBase_topRows_int.cpp + * Output: \verbinclude MatrixBase_topRows_int.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +inline RowsBlockXpr topRows(Index n) +{ + return RowsBlockXpr(derived(), 0, 0, n, cols()); +} + +/** This is the const version of topRows(Index).*/ +inline ConstRowsBlockXpr topRows(Index n) const +{ + return ConstRowsBlockXpr(derived(), 0, 0, n, cols()); +} + +/** \returns a block consisting of the top 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_topRows.cpp + * Output: \verbinclude MatrixBase_template_int_topRows.out + * + * \sa class Block, block(Index,Index,Index,Index) + */ +template<int N> +inline typename NRowsBlockXpr<N>::Type topRows(Index n = N) +{ + return typename NRowsBlockXpr<N>::Type(derived(), 0, 0, n, cols()); +} + +/** This is the const version of topRows<int>().*/ +template<int N> +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) + */ +inline RowsBlockXpr bottomRows(Index n) +{ + return RowsBlockXpr(derived(), rows() - n, 0, n, cols()); +} + +/** This is the const version of bottomRows(Index).*/ +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> +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> +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) + */ +inline RowsBlockXpr middleRows(Index startRow, Index n) +{ + return RowsBlockXpr(derived(), startRow, 0, n, cols()); +} + +/** This is the const version of middleRows(Index,Index).*/ +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> +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> +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) + */ +inline ColsBlockXpr leftCols(Index n) +{ + return ColsBlockXpr(derived(), 0, 0, rows(), n); +} + +/** This is the const version of leftCols(Index).*/ +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> +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> +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) + */ +inline ColsBlockXpr rightCols(Index n) +{ + return ColsBlockXpr(derived(), 0, cols() - n, rows(), n); +} + +/** This is the const version of rightCols(Index).*/ +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> +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> +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) + */ +inline ColsBlockXpr middleCols(Index startCol, Index numCols) +{ + return ColsBlockXpr(derived(), 0, startCol, rows(), numCols); +} + +/** This is the const version of middleCols(Index,Index).*/ +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> +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> +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> +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> +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 */ +inline ColXpr col(Index i) +{ + return ColXpr(derived(), i); +} + +/** This is the const version of col(). */ +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 */ +inline RowXpr row(Index i) +{ + return RowXpr(derived(), i); +} + +/** This is the const version of row(). */ +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) + */ +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).*/ +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) + */ +inline SegmentReturnType head(Index n) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return SegmentReturnType(derived(), 0, n); +} + +/** This is the const version of head(Index).*/ +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) + */ +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).*/ +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> +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> +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> +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> +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> +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> +inline typename ConstFixedSegmentReturnType<N>::Type tail(Index n = N) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename ConstFixedSegmentReturnType<N>::Type(derived(), size() - n); +} |