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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 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