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Diffstat (limited to 'src/3rdparty/eigen/Eigen/src/plugins/BlockMethods.h')
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diff --git a/src/3rdparty/eigen/Eigen/src/plugins/BlockMethods.h b/src/3rdparty/eigen/Eigen/src/plugins/BlockMethods.h new file mode 100644 index 000000000..63a52a6ff --- /dev/null +++ b/src/3rdparty/eigen/Eigen/src/plugins/BlockMethods.h @@ -0,0 +1,1442 @@ +// 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; }; +/// \internal expression of a block */ +typedef Block<Derived> BlockXpr; +typedef const Block<const Derived> ConstBlockXpr; +/// \internal expression of a block of fixed sizes */ +template<int Rows, int Cols> struct FixedBlockXpr { typedef Block<Derived,Rows,Cols> Type; }; +template<int Rows, int Cols> struct ConstFixedBlockXpr { typedef Block<const Derived,Rows,Cols> 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; }; + +/// \internal inner-vector +typedef Block<Derived,IsRowMajor?1:Dynamic,IsRowMajor?Dynamic:1,true> InnerVectorReturnType; +typedef Block<const Derived,IsRowMajor?1:Dynamic,IsRowMajor?Dynamic:1,true> ConstInnerVectorReturnType; + +/// \internal set of inner-vectors +typedef Block<Derived,Dynamic,Dynamic,true> InnerVectorsReturnType; +typedef Block<const Derived,Dynamic,Dynamic,true> ConstInnerVectorsReturnType; + +#endif // not EIGEN_PARSED_BY_DOXYGEN + +/// \returns an expression of a block in \c *this with either dynamic or fixed sizes. +/// +/// \param startRow the first row in the block +/// \param startCol the first column in the block +/// \param blockRows number of rows in the block, specified at either run-time or compile-time +/// \param blockCols number of columns in the block, specified at either run-time or compile-time +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example using runtime (aka dynamic) sizes: \include MatrixBase_block_int_int_int_int.cpp +/// Output: \verbinclude MatrixBase_block_int_int_int_int.out +/// +/// \newin{3.4}: +/// +/// The number of rows \a blockRows and columns \a blockCols can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. In the later case, \c n plays the role of a runtime fallback value in case \c N equals Eigen::Dynamic. +/// Here is an example with a fixed number of rows \c NRows and dynamic number of columns \c cols: +/// \code +/// mat.block(i,j,fix<NRows>,cols) +/// \endcode +/// +/// This function thus fully covers the features offered by the following overloads block<NRows,NCols>(Index, Index), +/// and block<NRows,NCols>(Index, Index, Index, Index) that are thus obsolete. Indeed, this generic version avoids +/// redundancy, it preserves the argument order, and prevents the need to rely on the template keyword in templated code. +/// +/// but with less redundancy and more consistency as it does not modify the argument order +/// and seamlessly enable hybrid fixed/dynamic sizes. +/// +/// \note Even in the case that 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. +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa class Block, fix, fix<N>(int) +/// +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +typename FixedBlockXpr<...,...>::Type +#endif +block(Index startRow, Index startCol, NRowsType blockRows, NColsType blockCols) +{ + return typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type( + derived(), startRow, startCol, internal::get_runtime_value(blockRows), internal::get_runtime_value(blockCols)); +} + +/// This is the const version of block(Index,Index,NRowsType,NColsType) +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +const typename ConstFixedBlockXpr<...,...>::Type +#endif +block(Index startRow, Index startCol, NRowsType blockRows, NColsType blockCols) const +{ + return typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type( + derived(), startRow, startCol, internal::get_runtime_value(blockRows), internal::get_runtime_value(blockCols)); +} + + + +/// \returns a expression of a top-right corner of \c *this with either dynamic or fixed sizes. +/// +/// \param cRows the number of rows in the corner +/// \param cCols the number of columns in the corner +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example with dynamic sizes: \include MatrixBase_topRightCorner_int_int.cpp +/// Output: \verbinclude MatrixBase_topRightCorner_int_int.out +/// +/// The number of rows \a blockRows and columns \a blockCols can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +typename FixedBlockXpr<...,...>::Type +#endif +topRightCorner(NRowsType cRows, NColsType cCols) +{ + return typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, cols() - internal::get_runtime_value(cCols), internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// This is the const version of topRightCorner(NRowsType, NColsType). +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +const typename ConstFixedBlockXpr<...,...>::Type +#endif +topRightCorner(NRowsType cRows, NColsType cCols) const +{ + return typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, cols() - internal::get_runtime_value(cCols), internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// \returns an expression of a fixed-size top-right corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa class Block, block<int,int>(Index,Index) +/// +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type topRightCorner() +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), 0, cols() - CCols); +} + +/// This is the const version of topRightCorner<int, int>(). +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type topRightCorner() const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), 0, cols() - CCols); +} + +/// \returns an expression of a top-right corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa class Block +/// +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type topRightCorner(Index cRows, Index cCols) +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), 0, cols() - cCols, cRows, cCols); +} + +/// This is the const version of topRightCorner<int, int>(Index, Index). +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type topRightCorner(Index cRows, Index cCols) const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), 0, cols() - cCols, cRows, cCols); +} + + + +/// \returns an expression of a top-left corner of \c *this with either dynamic or fixed sizes. +/// +/// \param cRows the number of rows in the corner +/// \param cCols the number of columns in the corner +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example: \include MatrixBase_topLeftCorner_int_int.cpp +/// Output: \verbinclude MatrixBase_topLeftCorner_int_int.out +/// +/// The number of rows \a blockRows and columns \a blockCols can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +typename FixedBlockXpr<...,...>::Type +#endif +topLeftCorner(NRowsType cRows, NColsType cCols) +{ + return typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, 0, internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// This is the const version of topLeftCorner(Index, Index). +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +const typename ConstFixedBlockXpr<...,...>::Type +#endif +topLeftCorner(NRowsType cRows, NColsType cCols) const +{ + return typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, 0, internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// \returns an expression of a fixed-size top-left corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type topLeftCorner() +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), 0, 0); +} + +/// This is the const version of topLeftCorner<int, int>(). +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type topLeftCorner() const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), 0, 0); +} + +/// \returns an expression of a top-left corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa class Block +/// +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type topLeftCorner(Index cRows, Index cCols) +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), 0, 0, cRows, cCols); +} + +/// This is the const version of topLeftCorner<int, int>(Index, Index). +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type topLeftCorner(Index cRows, Index cCols) const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), 0, 0, cRows, cCols); +} + + + +/// \returns an expression of a bottom-right corner of \c *this with either dynamic or fixed sizes. +/// +/// \param cRows the number of rows in the corner +/// \param cCols the number of columns in the corner +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example: \include MatrixBase_bottomRightCorner_int_int.cpp +/// Output: \verbinclude MatrixBase_bottomRightCorner_int_int.out +/// +/// The number of rows \a blockRows and columns \a blockCols can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +typename FixedBlockXpr<...,...>::Type +#endif +bottomRightCorner(NRowsType cRows, NColsType cCols) +{ + return typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), rows() - internal::get_runtime_value(cRows), cols() - internal::get_runtime_value(cCols), + internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// This is the const version of bottomRightCorner(NRowsType, NColsType). +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +const typename ConstFixedBlockXpr<...,...>::Type +#endif +bottomRightCorner(NRowsType cRows, NColsType cCols) const +{ + return typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), rows() - internal::get_runtime_value(cRows), cols() - internal::get_runtime_value(cCols), + internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// \returns an expression of a fixed-size bottom-right corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type bottomRightCorner() +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), rows() - CRows, cols() - CCols); +} + +/// This is the const version of bottomRightCorner<int, int>(). +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type bottomRightCorner() const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), rows() - CRows, cols() - CCols); +} + +/// \returns an expression of a bottom-right corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa class Block +/// +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type bottomRightCorner(Index cRows, Index cCols) +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), rows() - cRows, cols() - cCols, cRows, cCols); +} + +/// This is the const version of bottomRightCorner<int, int>(Index, Index). +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type bottomRightCorner(Index cRows, Index cCols) const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), rows() - cRows, cols() - cCols, cRows, cCols); +} + + + +/// \returns an expression of a bottom-left corner of \c *this with either dynamic or fixed sizes. +/// +/// \param cRows the number of rows in the corner +/// \param cCols the number of columns in the corner +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example: \include MatrixBase_bottomLeftCorner_int_int.cpp +/// Output: \verbinclude MatrixBase_bottomLeftCorner_int_int.out +/// +/// The number of rows \a blockRows and columns \a blockCols can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +typename FixedBlockXpr<...,...>::Type +#endif +bottomLeftCorner(NRowsType cRows, NColsType cCols) +{ + return typename FixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), rows() - internal::get_runtime_value(cRows), 0, + internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// This is the const version of bottomLeftCorner(NRowsType, NColsType). +template<typename NRowsType, typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type +#else +typename ConstFixedBlockXpr<...,...>::Type +#endif +bottomLeftCorner(NRowsType cRows, NColsType cCols) const +{ + return typename ConstFixedBlockXpr<internal::get_fixed_value<NRowsType>::value,internal::get_fixed_value<NColsType>::value>::Type + (derived(), rows() - internal::get_runtime_value(cRows), 0, + internal::get_runtime_value(cRows), internal::get_runtime_value(cCols)); +} + +/// \returns an expression of a fixed-size bottom-left corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type bottomLeftCorner() +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), rows() - CRows, 0); +} + +/// This is the const version of bottomLeftCorner<int, int>(). +template<int CRows, int CCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type bottomLeftCorner() const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), rows() - CRows, 0); +} + +/// \returns an expression of a bottom-left corner of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa class Block +/// +template<int CRows, int CCols> +EIGEN_STRONG_INLINE +typename FixedBlockXpr<CRows,CCols>::Type bottomLeftCorner(Index cRows, Index cCols) +{ + return typename FixedBlockXpr<CRows,CCols>::Type(derived(), rows() - cRows, 0, cRows, cCols); +} + +/// This is the const version of bottomLeftCorner<int, int>(Index, Index). +template<int CRows, int CCols> +EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<CRows,CCols>::Type bottomLeftCorner(Index cRows, Index cCols) const +{ + return typename ConstFixedBlockXpr<CRows,CCols>::Type(derived(), rows() - cRows, 0, cRows, cCols); +} + + + +/// \returns a block consisting of the top rows of \c *this. +/// +/// \param n the number of rows in the block +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// +/// Example: \include MatrixBase_topRows_int.cpp +/// Output: \verbinclude MatrixBase_topRows_int.out +/// +/// The number of rows \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(row-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NRowsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename NRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type +#else +typename NRowsBlockXpr<...>::Type +#endif +topRows(NRowsType n) +{ + return typename NRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type + (derived(), 0, 0, internal::get_runtime_value(n), cols()); +} + +/// This is the const version of topRows(NRowsType). +template<typename NRowsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstNRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type +#else +const typename ConstNRowsBlockXpr<...>::Type +#endif +topRows(NRowsType n) const +{ + return typename ConstNRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type + (derived(), 0, 0, internal::get_runtime_value(n), cols()); +} + +/// \returns a block consisting of the top rows of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(row-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 \c *this. +/// +/// \param n the number of rows in the block +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// +/// Example: \include MatrixBase_bottomRows_int.cpp +/// Output: \verbinclude MatrixBase_bottomRows_int.out +/// +/// The number of rows \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(row-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NRowsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename NRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type +#else +typename NRowsBlockXpr<...>::Type +#endif +bottomRows(NRowsType n) +{ + return typename NRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type + (derived(), rows() - internal::get_runtime_value(n), 0, internal::get_runtime_value(n), cols()); +} + +/// This is the const version of bottomRows(NRowsType). +template<typename NRowsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstNRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type +#else +const typename ConstNRowsBlockXpr<...>::Type +#endif +bottomRows(NRowsType n) const +{ + return typename ConstNRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type + (derived(), rows() - internal::get_runtime_value(n), 0, internal::get_runtime_value(n), cols()); +} + +/// \returns a block consisting of the bottom rows of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(row-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_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 \c *this. +/// +/// \param startRow the index of the first row in the block +/// \param n the number of rows in the block +/// \tparam NRowsType the type of the value handling the number of rows in the block, typically Index. +/// +/// Example: \include DenseBase_middleRows_int.cpp +/// Output: \verbinclude DenseBase_middleRows_int.out +/// +/// The number of rows \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(row-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NRowsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename NRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type +#else +typename NRowsBlockXpr<...>::Type +#endif +middleRows(Index startRow, NRowsType n) +{ + return typename NRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type + (derived(), startRow, 0, internal::get_runtime_value(n), cols()); +} + +/// This is the const version of middleRows(Index,NRowsType). +template<typename NRowsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstNRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type +#else +const typename ConstNRowsBlockXpr<...>::Type +#endif +middleRows(Index startRow, NRowsType n) const +{ + return typename ConstNRowsBlockXpr<internal::get_fixed_value<NRowsType>::value>::Type + (derived(), startRow, 0, internal::get_runtime_value(n), cols()); +} + +/// \returns a block consisting of a range of rows of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(row-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_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 \c *this. +/// +/// \param n the number of columns in the block +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example: \include MatrixBase_leftCols_int.cpp +/// Output: \verbinclude MatrixBase_leftCols_int.out +/// +/// The number of columns \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(column-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename NColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type +#else +typename NColsBlockXpr<...>::Type +#endif +leftCols(NColsType n) +{ + return typename NColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, 0, rows(), internal::get_runtime_value(n)); +} + +/// This is the const version of leftCols(NColsType). +template<typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstNColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type +#else +const typename ConstNColsBlockXpr<...>::Type +#endif +leftCols(NColsType n) const +{ + return typename ConstNColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, 0, rows(), internal::get_runtime_value(n)); +} + +/// \returns a block consisting of the left columns of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(column-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_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 \c *this. +/// +/// \param n the number of columns in the block +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example: \include MatrixBase_rightCols_int.cpp +/// Output: \verbinclude MatrixBase_rightCols_int.out +/// +/// The number of columns \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(column-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename NColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type +#else +typename NColsBlockXpr<...>::Type +#endif +rightCols(NColsType n) +{ + return typename NColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, cols() - internal::get_runtime_value(n), rows(), internal::get_runtime_value(n)); +} + +/// This is the const version of rightCols(NColsType). +template<typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstNColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type +#else +const typename ConstNColsBlockXpr<...>::Type +#endif +rightCols(NColsType n) const +{ + return typename ConstNColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, cols() - internal::get_runtime_value(n), rows(), internal::get_runtime_value(n)); +} + +/// \returns a block consisting of the right columns of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(column-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_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 \c *this. +/// +/// \param startCol the index of the first column in the block +/// \param numCols the number of columns in the block +/// \tparam NColsType the type of the value handling the number of columns in the block, typically Index. +/// +/// Example: \include DenseBase_middleCols_int.cpp +/// Output: \verbinclude DenseBase_middleCols_int.out +/// +/// The number of columns \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(column-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename NColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type +#else +typename NColsBlockXpr<...>::Type +#endif +middleCols(Index startCol, NColsType numCols) +{ + return typename NColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, startCol, rows(), internal::get_runtime_value(numCols)); +} + +/// This is the const version of middleCols(Index,NColsType). +template<typename NColsType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstNColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type +#else +const typename ConstNColsBlockXpr<...>::Type +#endif +middleCols(Index startCol, NColsType numCols) const +{ + return typename ConstNColsBlockXpr<internal::get_fixed_value<NColsType>::value>::Type + (derived(), 0, startCol, rows(), internal::get_runtime_value(numCols)); +} + +/// \returns a block consisting of a range of columns of \c *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 +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(column-major) +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_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 of \c *this. +/// +/// The template parameters \a NRows and \a NCols 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 The usage of of this overload is discouraged from %Eigen 3.4, better used the generic +/// block(Index,Index,NRowsType,NColsType), here is the one-to-one equivalence: +/// \code +/// mat.template block<NRows,NCols>(i,j) <--> mat.block(i,j,fix<NRows>,fix<NCols>) +/// \endcode +/// +/// \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 +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int NRows, int NCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<NRows,NCols>::Type block(Index startRow, Index startCol) +{ + return typename FixedBlockXpr<NRows,NCols>::Type(derived(), startRow, startCol); +} + +/// This is the const version of block<>(Index, Index). */ +template<int NRows, int NCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<NRows,NCols>::Type block(Index startRow, Index startCol) const +{ + return typename ConstFixedBlockXpr<NRows,NCols>::Type(derived(), startRow, startCol); +} + +/// \returns an expression of a block of \c *this. +/// +/// \tparam NRows number of rows in block as specified at compile-time +/// \tparam NCols 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 NRows unless +/// \a NRows 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.out +/// +/// \note The usage of of this overload is discouraged from %Eigen 3.4, better used the generic +/// block(Index,Index,NRowsType,NColsType), here is the one-to-one complete equivalence: +/// \code +/// mat.template block<NRows,NCols>(i,j,rows,cols) <--> mat.block(i,j,fix<NRows>(rows),fix<NCols>(cols)) +/// \endcode +/// If we known that, e.g., NRows==Dynamic and NCols!=Dynamic, then the equivalence becomes: +/// \code +/// mat.template block<Dynamic,NCols>(i,j,rows,NCols) <--> mat.block(i,j,rows,fix<NCols>) +/// \endcode +/// +EIGEN_DOC_BLOCK_ADDONS_NOT_INNER_PANEL +/// +/// \sa block(Index,Index,NRowsType,NColsType), class Block +/// +template<int NRows, int NCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename FixedBlockXpr<NRows,NCols>::Type block(Index startRow, Index startCol, + Index blockRows, Index blockCols) +{ + return typename FixedBlockXpr<NRows,NCols>::Type(derived(), startRow, startCol, blockRows, blockCols); +} + +/// This is the const version of block<>(Index, Index, Index, Index). +template<int NRows, int NCols> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const typename ConstFixedBlockXpr<NRows,NCols>::Type block(Index startRow, Index startCol, + Index blockRows, Index blockCols) const +{ + return typename ConstFixedBlockXpr<NRows,NCols>::Type(derived(), startRow, startCol, blockRows, blockCols); +} + +/// \returns an expression of the \a i-th column of \c *this. Note that the numbering starts at 0. +/// +/// Example: \include MatrixBase_col.cpp +/// Output: \verbinclude MatrixBase_col.out +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(column-major) +/** + * \sa row(), class Block */ +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +ColXpr col(Index i) +{ + return ColXpr(derived(), i); +} + +/// This is the const version of col(). +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +ConstColXpr col(Index i) const +{ + return ConstColXpr(derived(), i); +} + +/// \returns an expression of the \a i-th row of \c *this. Note that the numbering starts at 0. +/// +/// Example: \include MatrixBase_row.cpp +/// Output: \verbinclude MatrixBase_row.out +/// +EIGEN_DOC_BLOCK_ADDONS_INNER_PANEL_IF(row-major) +/** + * \sa col(), class Block */ +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +RowXpr row(Index i) +{ + return RowXpr(derived(), i); +} + +/// This is the const version of row(). */ +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +ConstRowXpr row(Index i) const +{ + return ConstRowXpr(derived(), i); +} + +/// \returns an expression of a segment (i.e. a vector block) in \c *this with either dynamic or fixed sizes. +/// +/// \only_for_vectors +/// +/// \param start the first coefficient in the segment +/// \param n the number of coefficients in the segment +/// \tparam NType the type of the value handling the number of coefficients in the segment, typically Index. +/// +/// Example: \include MatrixBase_segment_int_int.cpp +/// Output: \verbinclude MatrixBase_segment_int_int.out +/// +/// The number of coefficients \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +/// \note Even in the case that 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 block(Index,Index,NRowsType,NColsType), fix<N>, fix<N>(int), class Block +/// +template<typename NType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type +#else +typename FixedSegmentReturnType<...>::Type +#endif +segment(Index start, NType n) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename FixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type + (derived(), start, internal::get_runtime_value(n)); +} + + +/// This is the const version of segment(Index,NType). +template<typename NType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstFixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type +#else +const typename ConstFixedSegmentReturnType<...>::Type +#endif +segment(Index start, NType n) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename ConstFixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type + (derived(), start, internal::get_runtime_value(n)); +} + +/// \returns an expression of the first coefficients of \c *this with either dynamic or fixed sizes. +/// +/// \only_for_vectors +/// +/// \param n the number of coefficients in the segment +/// \tparam NType the type of the value handling the number of coefficients in the segment, typically Index. +/// +/// Example: \include MatrixBase_start_int.cpp +/// Output: \verbinclude MatrixBase_start_int.out +/// +/// The number of coefficients \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +/// \note Even in the case that 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) +/// +template<typename NType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type +#else +typename FixedSegmentReturnType<...>::Type +#endif +head(NType n) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename FixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type + (derived(), 0, internal::get_runtime_value(n)); +} + +/// This is the const version of head(NType). +template<typename NType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstFixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type +#else +const typename ConstFixedSegmentReturnType<...>::Type +#endif +head(NType n) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename ConstFixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type + (derived(), 0, internal::get_runtime_value(n)); +} + +/// \returns an expression of a last coefficients of \c *this with either dynamic or fixed sizes. +/// +/// \only_for_vectors +/// +/// \param n the number of coefficients in the segment +/// \tparam NType the type of the value handling the number of coefficients in the segment, typically Index. +/// +/// Example: \include MatrixBase_end_int.cpp +/// Output: \verbinclude MatrixBase_end_int.out +/// +/// The number of coefficients \a n can also be specified at compile-time by passing Eigen::fix<N>, +/// or Eigen::fix<N>(n) as arguments. +/// See \link block(Index,Index,NRowsType,NColsType) block() \endlink for the details. +/// +/// \note Even in the case that 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) +/// +template<typename NType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +typename FixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type +#else +typename FixedSegmentReturnType<...>::Type +#endif +tail(NType n) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename FixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type + (derived(), this->size() - internal::get_runtime_value(n), internal::get_runtime_value(n)); +} + +/// This is the const version of tail(Index). +template<typename NType> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +#ifndef EIGEN_PARSED_BY_DOXYGEN +const typename ConstFixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type +#else +const typename ConstFixedSegmentReturnType<...>::Type +#endif +tail(NType n) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename ConstFixedSegmentReturnType<internal::get_fixed_value<NType>::value>::Type + (derived(), this->size() - internal::get_runtime_value(n), internal::get_runtime_value(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 segment(Index,NType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_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 \c *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 head(NType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_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 \c *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 tail(NType), class Block +/// +template<int N> +EIGEN_DEVICE_FUNC EIGEN_STRONG_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 EIGEN_STRONG_INLINE +typename ConstFixedSegmentReturnType<N>::Type tail(Index n = N) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename ConstFixedSegmentReturnType<N>::Type(derived(), size() - n); +} + +/// \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this +/// is col-major (resp. row-major). +/// +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +InnerVectorReturnType innerVector(Index outer) +{ return InnerVectorReturnType(derived(), outer); } + +/// \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this +/// is col-major (resp. row-major). Read-only. +/// +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const ConstInnerVectorReturnType innerVector(Index outer) const +{ return ConstInnerVectorReturnType(derived(), outer); } + +/// \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this +/// is col-major (resp. row-major). +/// +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +InnerVectorsReturnType +innerVectors(Index outerStart, Index outerSize) +{ + return Block<Derived,Dynamic,Dynamic,true>(derived(), + IsRowMajor ? outerStart : 0, IsRowMajor ? 0 : outerStart, + IsRowMajor ? outerSize : rows(), IsRowMajor ? cols() : outerSize); + +} + +/// \returns the \a outer -th column (resp. row) of the matrix \c *this if \c *this +/// is col-major (resp. row-major). Read-only. +/// +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +const ConstInnerVectorsReturnType +innerVectors(Index outerStart, Index outerSize) const +{ + return Block<const Derived,Dynamic,Dynamic,true>(derived(), + IsRowMajor ? outerStart : 0, IsRowMajor ? 0 : outerStart, + IsRowMajor ? outerSize : rows(), IsRowMajor ? cols() : outerSize); + +} + +/** \returns the i-th subvector (column or vector) according to the \c Direction + * \sa subVectors() + */ +template<DirectionType Direction> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename internal::conditional<Direction==Vertical,ColXpr,RowXpr>::type +subVector(Index i) +{ + return typename internal::conditional<Direction==Vertical,ColXpr,RowXpr>::type(derived(),i); +} + +/** This is the const version of subVector(Index) */ +template<DirectionType Direction> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE +typename internal::conditional<Direction==Vertical,ConstColXpr,ConstRowXpr>::type +subVector(Index i) const +{ + return typename internal::conditional<Direction==Vertical,ConstColXpr,ConstRowXpr>::type(derived(),i); +} + +/** \returns the number of subvectors (rows or columns) in the direction \c Direction + * \sa subVector(Index) + */ +template<DirectionType Direction> +EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE EIGEN_CONSTEXPR +Index subVectors() const +{ return (Direction==Vertical)?cols():rows(); } |