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diff --git a/extern/Eigen2/Eigen/src/Core/Block.h b/extern/Eigen2/Eigen/src/Core/Block.h new file mode 100644 index 00000000000..7f422aa5c07 --- /dev/null +++ b/extern/Eigen2/Eigen/src/Core/Block.h @@ -0,0 +1,752 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. Eigen itself is part of the KDE project. +// +// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr> +// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com> +// +// Eigen is free software; you can redistribute it and/or +// modify it under the terms of the GNU Lesser General Public +// License as published by the Free Software Foundation; either +// version 3 of the License, or (at your option) any later version. +// +// Alternatively, you can redistribute it and/or +// modify it under the terms of the GNU General Public License as +// published by the Free Software Foundation; either version 2 of +// the License, or (at your option) any later version. +// +// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY +// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS +// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public +// License and a copy of the GNU General Public License along with +// Eigen. If not, see <http://www.gnu.org/licenses/>. + +#ifndef EIGEN_BLOCK_H +#define EIGEN_BLOCK_H + +/** \class Block + * + * \brief Expression of a fixed-size or dynamic-size block + * + * \param MatrixType the type of the object in which we are taking a block + * \param BlockRows the number of rows of the block we are taking at compile time (optional) + * \param BlockCols the number of columns of the block we are taking at compile time (optional) + * \param _PacketAccess allows to enforce aligned loads and stores if set to ForceAligned. + * The default is AsRequested. This parameter is internaly used by Eigen + * in expressions such as \code mat.block() += other; \endcode and most of + * the time this is the only way it is used. + * \param _DirectAccessStatus \internal used for partial specialization + * + * This class represents an expression of either a fixed-size or dynamic-size block. It is the return + * type of MatrixBase::block(int,int,int,int) and MatrixBase::block<int,int>(int,int) and + * most of the time this is the only way it is used. + * + * However, if you want to directly maniputate block expressions, + * for instance if you want to write a function returning such an expression, you + * will need to use this class. + * + * Here is an example illustrating the dynamic case: + * \include class_Block.cpp + * Output: \verbinclude class_Block.out + * + * \note Even though this expression has dynamic size, in the case where \a MatrixType + * has fixed size, this expression inherits a fixed maximal size which means that evaluating + * it does not cause a dynamic memory allocation. + * + * Here is an example illustrating the fixed-size case: + * \include class_FixedBlock.cpp + * Output: \verbinclude class_FixedBlock.out + * + * \sa MatrixBase::block(int,int,int,int), MatrixBase::block(int,int), class VectorBlock + */ + +template<typename MatrixType, int BlockRows, int BlockCols, int _PacketAccess, int _DirectAccessStatus> +struct ei_traits<Block<MatrixType, BlockRows, BlockCols, _PacketAccess, _DirectAccessStatus> > +{ + typedef typename ei_traits<MatrixType>::Scalar Scalar; + typedef typename ei_nested<MatrixType>::type MatrixTypeNested; + typedef typename ei_unref<MatrixTypeNested>::type _MatrixTypeNested; + enum{ + RowsAtCompileTime = ei_traits<MatrixType>::RowsAtCompileTime == 1 ? 1 : BlockRows, + ColsAtCompileTime = ei_traits<MatrixType>::ColsAtCompileTime == 1 ? 1 : BlockCols, + MaxRowsAtCompileTime = RowsAtCompileTime == 1 ? 1 + : (BlockRows==Dynamic ? int(ei_traits<MatrixType>::MaxRowsAtCompileTime) : BlockRows), + MaxColsAtCompileTime = ColsAtCompileTime == 1 ? 1 + : (BlockCols==Dynamic ? int(ei_traits<MatrixType>::MaxColsAtCompileTime) : BlockCols), + RowMajor = int(ei_traits<MatrixType>::Flags)&RowMajorBit, + InnerSize = RowMajor ? int(ColsAtCompileTime) : int(RowsAtCompileTime), + InnerMaxSize = RowMajor ? int(MaxColsAtCompileTime) : int(MaxRowsAtCompileTime), + MaskPacketAccessBit = (InnerMaxSize == Dynamic || (InnerSize >= ei_packet_traits<Scalar>::size)) + ? PacketAccessBit : 0, + FlagsLinearAccessBit = (RowsAtCompileTime == 1 || ColsAtCompileTime == 1) ? LinearAccessBit : 0, + Flags = (ei_traits<MatrixType>::Flags & (HereditaryBits | MaskPacketAccessBit | DirectAccessBit)) | FlagsLinearAccessBit, + CoeffReadCost = ei_traits<MatrixType>::CoeffReadCost, + PacketAccess = _PacketAccess + }; + typedef typename ei_meta_if<int(PacketAccess)==ForceAligned, + Block<MatrixType, BlockRows, BlockCols, _PacketAccess, _DirectAccessStatus>&, + Block<MatrixType, BlockRows, BlockCols, ForceAligned, _DirectAccessStatus> >::ret AlignedDerivedType; +}; + +template<typename MatrixType, int BlockRows, int BlockCols, int PacketAccess, int _DirectAccessStatus> class Block + : public MatrixBase<Block<MatrixType, BlockRows, BlockCols, PacketAccess, _DirectAccessStatus> > +{ + public: + + EIGEN_GENERIC_PUBLIC_INTERFACE(Block) + + class InnerIterator; + + /** Column or Row constructor + */ + inline Block(const MatrixType& matrix, int i) + : m_matrix(matrix), + // It is a row if and only if BlockRows==1 and BlockCols==MatrixType::ColsAtCompileTime, + // and it is a column if and only if BlockRows==MatrixType::RowsAtCompileTime and BlockCols==1, + // all other cases are invalid. + // The case a 1x1 matrix seems ambiguous, but the result is the same anyway. + m_startRow( (BlockRows==1) && (BlockCols==MatrixType::ColsAtCompileTime) ? i : 0), + m_startCol( (BlockRows==MatrixType::RowsAtCompileTime) && (BlockCols==1) ? i : 0), + m_blockRows(matrix.rows()), // if it is a row, then m_blockRows has a fixed-size of 1, so no pb to try to overwrite it + m_blockCols(matrix.cols()) // same for m_blockCols + { + ei_assert( (i>=0) && ( + ((BlockRows==1) && (BlockCols==MatrixType::ColsAtCompileTime) && i<matrix.rows()) + ||((BlockRows==MatrixType::RowsAtCompileTime) && (BlockCols==1) && i<matrix.cols()))); + } + + /** Fixed-size constructor + */ + inline Block(const MatrixType& matrix, int startRow, int startCol) + : m_matrix(matrix), m_startRow(startRow), m_startCol(startCol), + m_blockRows(matrix.rows()), m_blockCols(matrix.cols()) + { + EIGEN_STATIC_ASSERT(RowsAtCompileTime!=Dynamic && ColsAtCompileTime!=Dynamic,THIS_METHOD_IS_ONLY_FOR_FIXED_SIZE) + ei_assert(startRow >= 0 && BlockRows >= 1 && startRow + BlockRows <= matrix.rows() + && startCol >= 0 && BlockCols >= 1 && startCol + BlockCols <= matrix.cols()); + } + + /** Dynamic-size constructor + */ + inline Block(const MatrixType& matrix, + int startRow, int startCol, + int blockRows, int blockCols) + : m_matrix(matrix), m_startRow(startRow), m_startCol(startCol), + m_blockRows(blockRows), m_blockCols(blockCols) + { + ei_assert((RowsAtCompileTime==Dynamic || RowsAtCompileTime==blockRows) + && (ColsAtCompileTime==Dynamic || ColsAtCompileTime==blockCols)); + ei_assert(startRow >= 0 && blockRows >= 1 && startRow + blockRows <= matrix.rows() + && startCol >= 0 && blockCols >= 1 && startCol + blockCols <= matrix.cols()); + } + + EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Block) + + inline int rows() const { return m_blockRows.value(); } + inline int cols() const { return m_blockCols.value(); } + + inline Scalar& coeffRef(int row, int col) + { + return m_matrix.const_cast_derived() + .coeffRef(row + m_startRow.value(), col + m_startCol.value()); + } + + inline const Scalar coeff(int row, int col) const + { + return m_matrix.coeff(row + m_startRow.value(), col + m_startCol.value()); + } + + inline Scalar& coeffRef(int index) + { + return m_matrix.const_cast_derived() + .coeffRef(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), + m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0)); + } + + inline const Scalar coeff(int index) const + { + return m_matrix + .coeff(m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), + m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0)); + } + + template<int LoadMode> + inline PacketScalar packet(int row, int col) const + { + return m_matrix.template packet<Unaligned> + (row + m_startRow.value(), col + m_startCol.value()); + } + + template<int LoadMode> + inline void writePacket(int row, int col, const PacketScalar& x) + { + m_matrix.const_cast_derived().template writePacket<Unaligned> + (row + m_startRow.value(), col + m_startCol.value(), x); + } + + template<int LoadMode> + inline PacketScalar packet(int index) const + { + return m_matrix.template packet<Unaligned> + (m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), + m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0)); + } + + template<int LoadMode> + inline void writePacket(int index, const PacketScalar& x) + { + m_matrix.const_cast_derived().template writePacket<Unaligned> + (m_startRow.value() + (RowsAtCompileTime == 1 ? 0 : index), + m_startCol.value() + (RowsAtCompileTime == 1 ? index : 0), x); + } + + protected: + + const typename MatrixType::Nested m_matrix; + const ei_int_if_dynamic<MatrixType::RowsAtCompileTime == 1 ? 0 : Dynamic> m_startRow; + const ei_int_if_dynamic<MatrixType::ColsAtCompileTime == 1 ? 0 : Dynamic> m_startCol; + const ei_int_if_dynamic<RowsAtCompileTime> m_blockRows; + const ei_int_if_dynamic<ColsAtCompileTime> m_blockCols; +}; + +/** \internal */ +template<typename MatrixType, int BlockRows, int BlockCols, int PacketAccess> +class Block<MatrixType,BlockRows,BlockCols,PacketAccess,HasDirectAccess> + : public MapBase<Block<MatrixType, BlockRows, BlockCols,PacketAccess,HasDirectAccess> > +{ + public: + + _EIGEN_GENERIC_PUBLIC_INTERFACE(Block, MapBase<Block>) + + class InnerIterator; + typedef typename ei_traits<Block>::AlignedDerivedType AlignedDerivedType; + friend class Block<MatrixType,BlockRows,BlockCols,PacketAccess==AsRequested?ForceAligned:AsRequested,HasDirectAccess>; + + EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Block) + + AlignedDerivedType _convertToForceAligned() + { + return Block<MatrixType,BlockRows,BlockCols,ForceAligned,HasDirectAccess> + (m_matrix, Base::m_data, Base::m_rows.value(), Base::m_cols.value()); + } + + /** Column or Row constructor + */ + inline Block(const MatrixType& matrix, int i) + : Base(&matrix.const_cast_derived().coeffRef( + (BlockRows==1) && (BlockCols==MatrixType::ColsAtCompileTime) ? i : 0, + (BlockRows==MatrixType::RowsAtCompileTime) && (BlockCols==1) ? i : 0), + BlockRows==1 ? 1 : matrix.rows(), + BlockCols==1 ? 1 : matrix.cols()), + m_matrix(matrix) + { + ei_assert( (i>=0) && ( + ((BlockRows==1) && (BlockCols==MatrixType::ColsAtCompileTime) && i<matrix.rows()) + ||((BlockRows==MatrixType::RowsAtCompileTime) && (BlockCols==1) && i<matrix.cols()))); + } + + /** Fixed-size constructor + */ + inline Block(const MatrixType& matrix, int startRow, int startCol) + : Base(&matrix.const_cast_derived().coeffRef(startRow,startCol)), m_matrix(matrix) + { + ei_assert(startRow >= 0 && BlockRows >= 1 && startRow + BlockRows <= matrix.rows() + && startCol >= 0 && BlockCols >= 1 && startCol + BlockCols <= matrix.cols()); + } + + /** Dynamic-size constructor + */ + inline Block(const MatrixType& matrix, + int startRow, int startCol, + int blockRows, int blockCols) + : Base(&matrix.const_cast_derived().coeffRef(startRow,startCol), blockRows, blockCols), + m_matrix(matrix) + { + ei_assert((RowsAtCompileTime==Dynamic || RowsAtCompileTime==blockRows) + && (ColsAtCompileTime==Dynamic || ColsAtCompileTime==blockCols)); + ei_assert(startRow >= 0 && blockRows >= 1 && startRow + blockRows <= matrix.rows() + && startCol >= 0 && blockCols >= 1 && startCol + blockCols <= matrix.cols()); + } + + inline int stride(void) const { return m_matrix.stride(); } + + protected: + + /** \internal used by allowAligned() */ + inline Block(const MatrixType& matrix, const Scalar* data, int blockRows, int blockCols) + : Base(data, blockRows, blockCols), m_matrix(matrix) + {} + + const typename MatrixType::Nested m_matrix; +}; + +/** \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 + * + * \addexample BlockIntIntIntInt \label How to reference a sub-matrix (dynamic-size) + * + * 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(int,int) + */ +template<typename Derived> +inline typename BlockReturnType<Derived>::Type MatrixBase<Derived> + ::block(int startRow, int startCol, int blockRows, int blockCols) +{ + return typename BlockReturnType<Derived>::Type(derived(), startRow, startCol, blockRows, blockCols); +} + +/** This is the const version of block(int,int,int,int). */ +template<typename Derived> +inline const typename BlockReturnType<Derived>::Type MatrixBase<Derived> + ::block(int startRow, int startCol, int blockRows, int blockCols) const +{ + return typename BlockReturnType<Derived>::Type(derived(), startRow, startCol, blockRows, blockCols); +} + +/** \returns a dynamic-size expression of a segment (i.e. a vector block) in *this. + * + * \only_for_vectors + * + * \addexample SegmentIntInt \label How to reference a sub-vector (dynamic size) + * + * \param start the first coefficient in the segment + * \param size 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(int) + */ +template<typename Derived> +inline typename BlockReturnType<Derived>::SubVectorType MatrixBase<Derived> + ::segment(int start, int size) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename BlockReturnType<Derived>::SubVectorType(derived(), RowsAtCompileTime == 1 ? 0 : start, + ColsAtCompileTime == 1 ? 0 : start, + RowsAtCompileTime == 1 ? 1 : size, + ColsAtCompileTime == 1 ? 1 : size); +} + +/** This is the const version of segment(int,int).*/ +template<typename Derived> +inline const typename BlockReturnType<Derived>::SubVectorType +MatrixBase<Derived>::segment(int start, int size) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return typename BlockReturnType<Derived>::SubVectorType(derived(), RowsAtCompileTime == 1 ? 0 : start, + ColsAtCompileTime == 1 ? 0 : start, + RowsAtCompileTime == 1 ? 1 : size, + ColsAtCompileTime == 1 ? 1 : size); +} + +/** \returns a dynamic-size expression of the first coefficients of *this. + * + * \only_for_vectors + * + * \param size the number of coefficients in the block + * + * \addexample BlockInt \label How to reference a sub-vector (fixed-size) + * + * 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(int,int) + */ +template<typename Derived> +inline typename BlockReturnType<Derived,Dynamic>::SubVectorType +MatrixBase<Derived>::start(int size) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, + RowsAtCompileTime == 1 ? 1 : Dynamic, + ColsAtCompileTime == 1 ? 1 : Dynamic> + (derived(), 0, 0, + RowsAtCompileTime == 1 ? 1 : size, + ColsAtCompileTime == 1 ? 1 : size); +} + +/** This is the const version of start(int).*/ +template<typename Derived> +inline const typename BlockReturnType<Derived,Dynamic>::SubVectorType +MatrixBase<Derived>::start(int size) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, + RowsAtCompileTime == 1 ? 1 : Dynamic, + ColsAtCompileTime == 1 ? 1 : Dynamic> + (derived(), 0, 0, + RowsAtCompileTime == 1 ? 1 : size, + ColsAtCompileTime == 1 ? 1 : size); +} + +/** \returns a dynamic-size expression of the last coefficients of *this. + * + * \only_for_vectors + * + * \param size the number of coefficients in the block + * + * \addexample BlockEnd \label How to reference the end of a vector (fixed-size) + * + * 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(int,int) + */ +template<typename Derived> +inline typename BlockReturnType<Derived,Dynamic>::SubVectorType +MatrixBase<Derived>::end(int size) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, + RowsAtCompileTime == 1 ? 1 : Dynamic, + ColsAtCompileTime == 1 ? 1 : Dynamic> + (derived(), + RowsAtCompileTime == 1 ? 0 : rows() - size, + ColsAtCompileTime == 1 ? 0 : cols() - size, + RowsAtCompileTime == 1 ? 1 : size, + ColsAtCompileTime == 1 ? 1 : size); +} + +/** This is the const version of end(int).*/ +template<typename Derived> +inline const typename BlockReturnType<Derived,Dynamic>::SubVectorType +MatrixBase<Derived>::end(int size) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, + RowsAtCompileTime == 1 ? 1 : Dynamic, + ColsAtCompileTime == 1 ? 1 : Dynamic> + (derived(), + RowsAtCompileTime == 1 ? 0 : rows() - size, + ColsAtCompileTime == 1 ? 0 : cols() - size, + RowsAtCompileTime == 1 ? 1 : size, + ColsAtCompileTime == 1 ? 1 : size); +} + +/** \returns a fixed-size expression of a segment (i.e. a vector block) in \c *this + * + * \only_for_vectors + * + * The template parameter \a Size is the number of coefficients in the block + * + * \param start the index of the first element of the sub-vector + * + * Example: \include MatrixBase_template_int_segment.cpp + * Output: \verbinclude MatrixBase_template_int_segment.out + * + * \sa class Block + */ +template<typename Derived> +template<int Size> +inline typename BlockReturnType<Derived,Size>::SubVectorType +MatrixBase<Derived>::segment(int start) +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, (RowsAtCompileTime == 1 ? 1 : Size), + (ColsAtCompileTime == 1 ? 1 : Size)> + (derived(), RowsAtCompileTime == 1 ? 0 : start, + ColsAtCompileTime == 1 ? 0 : start); +} + +/** This is the const version of segment<int>(int).*/ +template<typename Derived> +template<int Size> +inline const typename BlockReturnType<Derived,Size>::SubVectorType +MatrixBase<Derived>::segment(int start) const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, (RowsAtCompileTime == 1 ? 1 : Size), + (ColsAtCompileTime == 1 ? 1 : Size)> + (derived(), RowsAtCompileTime == 1 ? 0 : start, + ColsAtCompileTime == 1 ? 0 : start); +} + +/** \returns a fixed-size expression of the first coefficients of *this. + * + * \only_for_vectors + * + * The template parameter \a Size is the number of coefficients in the block + * + * \addexample BlockStart \label How to reference the start of a vector (fixed-size) + * + * Example: \include MatrixBase_template_int_start.cpp + * Output: \verbinclude MatrixBase_template_int_start.out + * + * \sa class Block + */ +template<typename Derived> +template<int Size> +inline typename BlockReturnType<Derived,Size>::SubVectorType +MatrixBase<Derived>::start() +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, (RowsAtCompileTime == 1 ? 1 : Size), + (ColsAtCompileTime == 1 ? 1 : Size)>(derived(), 0, 0); +} + +/** This is the const version of start<int>().*/ +template<typename Derived> +template<int Size> +inline const typename BlockReturnType<Derived,Size>::SubVectorType +MatrixBase<Derived>::start() const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, (RowsAtCompileTime == 1 ? 1 : Size), + (ColsAtCompileTime == 1 ? 1 : Size)>(derived(), 0, 0); +} + +/** \returns a fixed-size expression of the last coefficients of *this. + * + * \only_for_vectors + * + * The template parameter \a Size is the number of coefficients in the block + * + * Example: \include MatrixBase_template_int_end.cpp + * Output: \verbinclude MatrixBase_template_int_end.out + * + * \sa class Block + */ +template<typename Derived> +template<int Size> +inline typename BlockReturnType<Derived,Size>::SubVectorType +MatrixBase<Derived>::end() +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, RowsAtCompileTime == 1 ? 1 : Size, + ColsAtCompileTime == 1 ? 1 : Size> + (derived(), + RowsAtCompileTime == 1 ? 0 : rows() - Size, + ColsAtCompileTime == 1 ? 0 : cols() - Size); +} + +/** This is the const version of end<int>.*/ +template<typename Derived> +template<int Size> +inline const typename BlockReturnType<Derived,Size>::SubVectorType +MatrixBase<Derived>::end() const +{ + EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived) + return Block<Derived, RowsAtCompileTime == 1 ? 1 : Size, + ColsAtCompileTime == 1 ? 1 : Size> + (derived(), + RowsAtCompileTime == 1 ? 0 : rows() - Size, + ColsAtCompileTime == 1 ? 0 : cols() - Size); +} + +/** \returns a dynamic-size expression of a corner of *this. + * + * \param type the type of corner. Can be \a Eigen::TopLeft, \a Eigen::TopRight, + * \a Eigen::BottomLeft, \a Eigen::BottomRight. + * \param cRows the number of rows in the corner + * \param cCols the number of columns in the corner + * + * \addexample BlockCornerDynamicSize \label How to reference a sub-corner of a matrix + * + * Example: \include MatrixBase_corner_enum_int_int.cpp + * Output: \verbinclude MatrixBase_corner_enum_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(int,int,int,int) + */ +template<typename Derived> +inline typename BlockReturnType<Derived>::Type MatrixBase<Derived> + ::corner(CornerType type, int cRows, int cCols) +{ + switch(type) + { + default: + ei_assert(false && "Bad corner type."); + case TopLeft: + return typename BlockReturnType<Derived>::Type(derived(), 0, 0, cRows, cCols); + case TopRight: + return typename BlockReturnType<Derived>::Type(derived(), 0, cols() - cCols, cRows, cCols); + case BottomLeft: + return typename BlockReturnType<Derived>::Type(derived(), rows() - cRows, 0, cRows, cCols); + case BottomRight: + return typename BlockReturnType<Derived>::Type(derived(), rows() - cRows, cols() - cCols, cRows, cCols); + } +} + +/** This is the const version of corner(CornerType, int, int).*/ +template<typename Derived> +inline const typename BlockReturnType<Derived>::Type +MatrixBase<Derived>::corner(CornerType type, int cRows, int cCols) const +{ + switch(type) + { + default: + ei_assert(false && "Bad corner type."); + case TopLeft: + return typename BlockReturnType<Derived>::Type(derived(), 0, 0, cRows, cCols); + case TopRight: + return typename BlockReturnType<Derived>::Type(derived(), 0, cols() - cCols, cRows, cCols); + case BottomLeft: + return typename BlockReturnType<Derived>::Type(derived(), rows() - cRows, 0, cRows, cCols); + case BottomRight: + return typename BlockReturnType<Derived>::Type(derived(), rows() - cRows, cols() - cCols, cRows, cCols); + } +} + +/** \returns a fixed-size expression of a corner of *this. + * + * \param type the type of corner. Can be \a Eigen::TopLeft, \a Eigen::TopRight, + * \a Eigen::BottomLeft, \a Eigen::BottomRight. + * + * The template parameters CRows and CCols arethe number of rows and columns in the corner. + * + * Example: \include MatrixBase_template_int_int_corner_enum.cpp + * Output: \verbinclude MatrixBase_template_int_int_corner_enum.out + * + * \sa class Block, block(int,int,int,int) + */ +template<typename Derived> +template<int CRows, int CCols> +inline typename BlockReturnType<Derived, CRows, CCols>::Type +MatrixBase<Derived>::corner(CornerType type) +{ + switch(type) + { + default: + ei_assert(false && "Bad corner type."); + case TopLeft: + return Block<Derived, CRows, CCols>(derived(), 0, 0); + case TopRight: + return Block<Derived, CRows, CCols>(derived(), 0, cols() - CCols); + case BottomLeft: + return Block<Derived, CRows, CCols>(derived(), rows() - CRows, 0); + case BottomRight: + return Block<Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols); + } +} + +/** This is the const version of corner<int, int>(CornerType).*/ +template<typename Derived> +template<int CRows, int CCols> +inline const typename BlockReturnType<Derived, CRows, CCols>::Type +MatrixBase<Derived>::corner(CornerType type) const +{ + switch(type) + { + default: + ei_assert(false && "Bad corner type."); + case TopLeft: + return Block<Derived, CRows, CCols>(derived(), 0, 0); + case TopRight: + return Block<Derived, CRows, CCols>(derived(), 0, cols() - CCols); + case BottomLeft: + return Block<Derived, CRows, CCols>(derived(), rows() - CRows, 0); + case BottomRight: + return Block<Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols); + } +} + +/** \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 + * + * \addexample BlockSubMatrixFixedSize \label How to reference a sub-matrix (fixed-size) + * + * 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(int,int,int,int) + */ +template<typename Derived> +template<int BlockRows, int BlockCols> +inline typename BlockReturnType<Derived, BlockRows, BlockCols>::Type +MatrixBase<Derived>::block(int startRow, int startCol) +{ + return Block<Derived, BlockRows, BlockCols>(derived(), startRow, startCol); +} + +/** This is the const version of block<>(int, int). */ +template<typename Derived> +template<int BlockRows, int BlockCols> +inline const typename BlockReturnType<Derived, BlockRows, BlockCols>::Type +MatrixBase<Derived>::block(int startRow, int startCol) const +{ + return Block<Derived, BlockRows, BlockCols>(derived(), startRow, startCol); +} + +/** \returns an expression of the \a i-th column of *this. Note that the numbering starts at 0. + * + * \addexample BlockColumn \label How to reference a single column of a matrix + * + * Example: \include MatrixBase_col.cpp + * Output: \verbinclude MatrixBase_col.out + * + * \sa row(), class Block */ +template<typename Derived> +inline typename MatrixBase<Derived>::ColXpr +MatrixBase<Derived>::col(int i) +{ + return ColXpr(derived(), i); +} + +/** This is the const version of col(). */ +template<typename Derived> +inline const typename MatrixBase<Derived>::ColXpr +MatrixBase<Derived>::col(int i) const +{ + return ColXpr(derived(), i); +} + +/** \returns an expression of the \a i-th row of *this. Note that the numbering starts at 0. + * + * \addexample BlockRow \label How to reference a single row of a matrix + * + * Example: \include MatrixBase_row.cpp + * Output: \verbinclude MatrixBase_row.out + * + * \sa col(), class Block */ +template<typename Derived> +inline typename MatrixBase<Derived>::RowXpr +MatrixBase<Derived>::row(int i) +{ + return RowXpr(derived(), i); +} + +/** This is the const version of row(). */ +template<typename Derived> +inline const typename MatrixBase<Derived>::RowXpr +MatrixBase<Derived>::row(int i) const +{ + return RowXpr(derived(), i); +} + +#endif // EIGEN_BLOCK_H |