unsupported/Eigen/src/SparseExtra/DynamicSparseMatrix.h - mirror - Git at Google

 // This file is part of Eigen, a lightweight C++ template library
 // for linear algebra.
 //
 // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
 //
 // 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_DYNAMIC_SPARSEMATRIX_H
 #define EIGEN_DYNAMIC_SPARSEMATRIX_H

 namespace Eigen {

 /** \deprecated use a SparseMatrix in an uncompressed mode
   *
   * \class DynamicSparseMatrix
   *
   * \brief A sparse matrix class designed for matrix assembly purpose
   *
   * \param _Scalar the scalar type, i.e. the type of the coefficients
   *
   * Unlike SparseMatrix, this class provides a much higher degree of flexibility. In particular, it allows
   * random read/write accesses in log(rho*outer_size) where \c rho is the probability that a coefficient is
   * nonzero and outer_size is the number of columns if the matrix is column-major and the number of rows
   * otherwise.
   *
   * Internally, the data are stored as a std::vector of compressed vector. The performances of random writes might
   * decrease as the number of nonzeros per inner-vector increase. In practice, we observed very good performance
   * till about 100 nonzeros/vector, and the performance remains relatively good till 500 nonzeros/vectors.
   *
   * \see SparseMatrix
   */

 namespace internal {
 template<typename _Scalar, int _Options, typename _Index>
 struct traits<DynamicSparseMatrix<_Scalar, _Options, _Index> >
 {
   typedef _Scalar Scalar;
   typedef _Index Index;
   typedef Sparse StorageKind;
   typedef MatrixXpr XprKind;
   enum {
     RowsAtCompileTime = Dynamic,
     ColsAtCompileTime = Dynamic,
     MaxRowsAtCompileTime = Dynamic,
     MaxColsAtCompileTime = Dynamic,
     Flags = _Options | NestByRefBit | LvalueBit,
     CoeffReadCost = NumTraits<Scalar>::ReadCost,
     SupportedAccessPatterns = OuterRandomAccessPattern
   };
 };
 }

 template<typename _Scalar, int _Options, typename _Index>
  class  DynamicSparseMatrix
   : public SparseMatrixBase<DynamicSparseMatrix<_Scalar, _Options, _Index> >
 {
   public:
     EIGEN_SPARSE_PUBLIC_INTERFACE(DynamicSparseMatrix)
     // FIXME: why are these operator already alvailable ???
     // EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(DynamicSparseMatrix, +=)
     // EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(DynamicSparseMatrix, -=)
     typedef MappedSparseMatrix<Scalar,Flags> Map;
     using Base::IsRowMajor;
     using Base::operator=;
     enum {
       Options = _Options
     };

   protected:

     typedef DynamicSparseMatrix<Scalar,(Flags&~RowMajorBit)|(IsRowMajor?RowMajorBit:0)> TransposedSparseMatrix;

     Index m_innerSize;
     std::vector<internal::CompressedStorage<Scalar,Index> > m_data;

   public:

     inline Index rows() const { return IsRowMajor ? outerSize() : m_innerSize; }
     inline Index cols() const { return IsRowMajor ? m_innerSize : outerSize(); }
     inline Index innerSize() const { return m_innerSize; }
     inline Index outerSize() const { return static_cast<Index>(m_data.size()); }
     inline Index innerNonZeros(Index j) const { return m_data[j].size(); }

     std::vector<internal::CompressedStorage<Scalar,Index> >& _data() { return m_data; }
     const std::vector<internal::CompressedStorage<Scalar,Index> >& _data() const { return m_data; }

     /** \returns the coefficient value at given position \a row, \a col
       * This operation involes a log(rho*outer_size) binary search.
       */
     inline Scalar coeff(Index row, Index col) const
     {
       const Index outer = IsRowMajor ? row : col;
       const Index inner = IsRowMajor ? col : row;
       return m_data[outer].at(inner);
     }

     /** \returns a reference to the coefficient value at given position \a row, \a col
       * This operation involes a log(rho*outer_size) binary search. If the coefficient does not
       * exist yet, then a sorted insertion into a sequential buffer is performed.
       */
     inline Scalar& coeffRef(Index row, Index col)
     {
       const Index outer = IsRowMajor ? row : col;
       const Index inner = IsRowMajor ? col : row;
       return m_data[outer].atWithInsertion(inner);
     }

     class InnerIterator;
     class ReverseInnerIterator;

     void setZero()
     {
       for (Index j=0; j<outerSize(); ++j)
         m_data[j].clear();
     }

     /** \returns the number of non zero coefficients */
     Index nonZeros() const
     {
       Index res = 0;
       for (Index j=0; j<outerSize(); ++j)
         res += static_cast<Index>(m_data[j].size());
       return res;
     }


     void reserve(Index reserveSize = 1000)
     {
       if (outerSize()>0)
       {
         Index reserveSizePerVector = (std::max)(reserveSize/outerSize(),Index(4));
         for (Index j=0; j<outerSize(); ++j)
         {
           m_data[j].reserve(reserveSizePerVector);
         }
       }
     }

     /** Does nothing: provided for compatibility with SparseMatrix */
     inline void startVec(Index /*outer*/) {}

     /** \returns a reference to the non zero coefficient at position \a row, \a col assuming that:
       * - the nonzero does not already exist
       * - the new coefficient is the last one of the given inner vector.
       *
       * \sa insert, insertBackByOuterInner */
     inline Scalar& insertBack(Index row, Index col)
     {
       return insertBackByOuterInner(IsRowMajor?row:col, IsRowMajor?col:row);
     }

     /** \sa insertBack */
     inline Scalar& insertBackByOuterInner(Index outer, Index inner)
     {
       eigen_assert(outer<Index(m_data.size()) && inner<m_innerSize && "out of range");
       eigen_assert(((m_data[outer].size()==0) || (m_data[outer].index(m_data[outer].size()-1)<inner))
                 && "wrong sorted insertion");
       m_data[outer].append(0, inner);
       return m_data[outer].value(m_data[outer].size()-1);
     }

     inline Scalar& insert(Index row, Index col)
     {
       const Index outer = IsRowMajor ? row : col;
       const Index inner = IsRowMajor ? col : row;

       Index startId = 0;
       Index id = static_cast<Index>(m_data[outer].size()) - 1;
       m_data[outer].resize(id+2,1);

       while ( (id >= startId) && (m_data[outer].index(id) > inner) )
       {
         m_data[outer].index(id+1) = m_data[outer].index(id);
         m_data[outer].value(id+1) = m_data[outer].value(id);
         --id;
       }
       m_data[outer].index(id+1) = inner;
       m_data[outer].value(id+1) = 0;
       return m_data[outer].value(id+1);
     }

     /** Does nothing: provided for compatibility with SparseMatrix */
     inline void finalize() {}

     /** Suppress all nonzeros which are smaller than \a reference under the tolerence \a epsilon */
     void prune(Scalar reference, RealScalar epsilon = NumTraits<RealScalar>::dummy_precision())
     {
       for (Index j=0; j<outerSize(); ++j)
         m_data[j].prune(reference,epsilon);
     }

     /** Resize the matrix without preserving the data (the matrix is set to zero)
       */
     void resize(Index rows, Index cols)
     {
       const Index outerSize = IsRowMajor ? rows : cols;
       m_innerSize = IsRowMajor ? cols : rows;
       setZero();
       if (Index(m_data.size()) != outerSize)
       {
         m_data.resize(outerSize);
       }
     }

     void resizeAndKeepData(Index rows, Index cols)
     {
       const Index outerSize = IsRowMajor ? rows : cols;
       const Index innerSize = IsRowMajor ? cols : rows;
       if (m_innerSize>innerSize)
       {
         // remove all coefficients with innerCoord>=innerSize
         // TODO
         //std::cerr << "not implemented yet\n";
         exit(2);
       }
       if (m_data.size() != outerSize)
       {
         m_data.resize(outerSize);
       }
     }

     /** The class DynamicSparseMatrix is deprectaed */
     EIGEN_DEPRECATED inline DynamicSparseMatrix()
       : m_innerSize(0), m_data(0)
     {
       eigen_assert(innerSize()==0 && outerSize()==0);
     }

     /** The class DynamicSparseMatrix is deprectaed */
     EIGEN_DEPRECATED inline DynamicSparseMatrix(Index rows, Index cols)
       : m_innerSize(0)
     {
       resize(rows, cols);
     }

     /** The class DynamicSparseMatrix is deprectaed */
     template<typename OtherDerived>
     EIGEN_DEPRECATED explicit inline DynamicSparseMatrix(const SparseMatrixBase<OtherDerived>& other)
       : m_innerSize(0)
     {
     Base::operator=(other.derived());
     }

     inline DynamicSparseMatrix(const DynamicSparseMatrix& other)
       : Base(), m_innerSize(0)
     {
       *this = other.derived();
     }

     inline void swap(DynamicSparseMatrix& other)
     {
       //EIGEN_DBG_SPARSE(std::cout << "SparseMatrix:: swap\n");
       std::swap(m_innerSize, other.m_innerSize);
       //std::swap(m_outerSize, other.m_outerSize);
       m_data.swap(other.m_data);
     }

     inline DynamicSparseMatrix& operator=(const DynamicSparseMatrix& other)
     {
       if (other.isRValue())
       {
         swap(other.const_cast_derived());
       }
       else
       {
         resize(other.rows(), other.cols());
         m_data = other.m_data;
       }
       return *this;
     }

     /** Destructor */
     inline ~DynamicSparseMatrix() {}

   public:

     /** \deprecated
       * Set the matrix to zero and reserve the memory for \a reserveSize nonzero coefficients. */
     EIGEN_DEPRECATED void startFill(Index reserveSize = 1000)
     {
       setZero();
       reserve(reserveSize);
     }

     /** \deprecated use insert()
       * inserts a nonzero coefficient at given coordinates \a row, \a col and returns its reference assuming that:
       *  1 - the coefficient does not exist yet
       *  2 - this the coefficient with greater inner coordinate for the given outer coordinate.
       * In other words, assuming \c *this is column-major, then there must not exists any nonzero coefficient of coordinates
       * \c i \c x \a col such that \c i >= \a row. Otherwise the matrix is invalid.
       *
       * \see fillrand(), coeffRef()
       */
     EIGEN_DEPRECATED Scalar& fill(Index row, Index col)
     {
       const Index outer = IsRowMajor ? row : col;
       const Index inner = IsRowMajor ? col : row;
       return insertBack(outer,inner);
     }

     /** \deprecated use insert()
       * Like fill() but with random inner coordinates.
       * Compared to the generic coeffRef(), the unique limitation is that we assume
       * the coefficient does not exist yet.
       */
     EIGEN_DEPRECATED Scalar& fillrand(Index row, Index col)
     {
       return insert(row,col);
     }

     /** \deprecated use finalize()
       * Does nothing. Provided for compatibility with SparseMatrix. */
     EIGEN_DEPRECATED void endFill() {}

 #   ifdef EIGEN_DYNAMICSPARSEMATRIX_PLUGIN
 #     include EIGEN_DYNAMICSPARSEMATRIX_PLUGIN
 #   endif
  };

 template<typename Scalar, int _Options, typename _Index>
 class DynamicSparseMatrix<Scalar,_Options,_Index>::InnerIterator : public SparseVector<Scalar,_Options,_Index>::InnerIterator
 {
     typedef typename SparseVector<Scalar,_Options,_Index>::InnerIterator Base;
   public:
     InnerIterator(const DynamicSparseMatrix& mat, Index outer)
       : Base(mat.m_data[outer]), m_outer(outer)
     {}

     inline Index row() const { return IsRowMajor ? m_outer : Base::index(); }
     inline Index col() const { return IsRowMajor ? Base::index() : m_outer; }

   protected:
     const Index m_outer;
 };

 template<typename Scalar, int _Options, typename _Index>
 class DynamicSparseMatrix<Scalar,_Options,_Index>::ReverseInnerIterator : public SparseVector<Scalar,_Options,_Index>::ReverseInnerIterator
 {
     typedef typename SparseVector<Scalar,_Options,_Index>::ReverseInnerIterator Base;
   public:
     ReverseInnerIterator(const DynamicSparseMatrix& mat, Index outer)
       : Base(mat.m_data[outer]), m_outer(outer)
     {}

     inline Index row() const { return IsRowMajor ? m_outer : Base::index(); }
     inline Index col() const { return IsRowMajor ? Base::index() : m_outer; }

   protected:
     const Index m_outer;
 };

 } // end namespace Eigen

 #endif // EIGEN_DYNAMIC_SPARSEMATRIX_H
	// This file is part of Eigen, a lightweight C++ template library
	// for linear algebra.
	//
	// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
	//
	// 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_DYNAMIC_SPARSEMATRIX_H
	#define EIGEN_DYNAMIC_SPARSEMATRIX_H

	namespace Eigen {

	/** \deprecated use a SparseMatrix in an uncompressed mode
	*
	* \class DynamicSparseMatrix
	*
	* \brief A sparse matrix class designed for matrix assembly purpose
	*
	* \param _Scalar the scalar type, i.e. the type of the coefficients
	*
	* Unlike SparseMatrix, this class provides a much higher degree of flexibility. In particular, it allows
	* random read/write accesses in log(rho*outer_size) where \c rho is the probability that a coefficient is
	* nonzero and outer_size is the number of columns if the matrix is column-major and the number of rows
	* otherwise.
	*
	* Internally, the data are stored as a std::vector of compressed vector. The performances of random writes might
	* decrease as the number of nonzeros per inner-vector increase. In practice, we observed very good performance
	* till about 100 nonzeros/vector, and the performance remains relatively good till 500 nonzeros/vectors.
	*
	* \see SparseMatrix
	*/

	namespace internal {
	template<typename _Scalar, int _Options, typename _Index>
	struct traits<DynamicSparseMatrix<_Scalar, _Options, _Index> >
	{
	typedef _Scalar Scalar;
	typedef _Index Index;
	typedef Sparse StorageKind;
	typedef MatrixXpr XprKind;
	enum {
	RowsAtCompileTime = Dynamic,
	ColsAtCompileTime = Dynamic,
	MaxRowsAtCompileTime = Dynamic,
	MaxColsAtCompileTime = Dynamic,
	Flags = _Options \| NestByRefBit \| LvalueBit,
	CoeffReadCost = NumTraits<Scalar>::ReadCost,
	SupportedAccessPatterns = OuterRandomAccessPattern
	};
	};
	}

	template<typename _Scalar, int _Options, typename _Index>
	class DynamicSparseMatrix
	: public SparseMatrixBase<DynamicSparseMatrix<_Scalar, _Options, _Index> >
	{
	public:
	EIGEN_SPARSE_PUBLIC_INTERFACE(DynamicSparseMatrix)
	// FIXME: why are these operator already alvailable ???
	// EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(DynamicSparseMatrix, +=)
	// EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(DynamicSparseMatrix, -=)
	typedef MappedSparseMatrix<Scalar,Flags> Map;
	using Base::IsRowMajor;
	using Base::operator=;
	enum {
	Options = _Options
	};

	protected:

	typedef DynamicSparseMatrix<Scalar,(Flags&~RowMajorBit)\|(IsRowMajor?RowMajorBit:0)> TransposedSparseMatrix;

	Index m_innerSize;
	std::vector<internal::CompressedStorage<Scalar,Index> > m_data;

	public:

	inline Index rows() const { return IsRowMajor ? outerSize() : m_innerSize; }
	inline Index cols() const { return IsRowMajor ? m_innerSize : outerSize(); }
	inline Index innerSize() const { return m_innerSize; }
	inline Index outerSize() const { return static_cast<Index>(m_data.size()); }
	inline Index innerNonZeros(Index j) const { return m_data[j].size(); }

	std::vector<internal::CompressedStorage<Scalar,Index> >& _data() { return m_data; }
	const std::vector<internal::CompressedStorage<Scalar,Index> >& _data() const { return m_data; }

	/** \returns the coefficient value at given position \a row, \a col
	* This operation involes a log(rho*outer_size) binary search.
	*/
	inline Scalar coeff(Index row, Index col) const
	{
	const Index outer = IsRowMajor ? row : col;
	const Index inner = IsRowMajor ? col : row;
	return m_data[outer].at(inner);
	}

	/** \returns a reference to the coefficient value at given position \a row, \a col
	* This operation involes a log(rho*outer_size) binary search. If the coefficient does not
	* exist yet, then a sorted insertion into a sequential buffer is performed.
	*/
	inline Scalar& coeffRef(Index row, Index col)
	{
	const Index outer = IsRowMajor ? row : col;
	const Index inner = IsRowMajor ? col : row;
	return m_data[outer].atWithInsertion(inner);
	}

	class InnerIterator;
	class ReverseInnerIterator;

	void setZero()
	{
	for (Index j=0; j<outerSize(); ++j)
	m_data[j].clear();
	}

	/** \returns the number of non zero coefficients */
	Index nonZeros() const
	{
	Index res = 0;
	for (Index j=0; j<outerSize(); ++j)
	res += static_cast<Index>(m_data[j].size());
	return res;
	}



	void reserve(Index reserveSize = 1000)
	{
	if (outerSize()>0)
	{
	Index reserveSizePerVector = (std::max)(reserveSize/outerSize(),Index(4));
	for (Index j=0; j<outerSize(); ++j)
	{
	m_data[j].reserve(reserveSizePerVector);
	}
	}
	}

	/** Does nothing: provided for compatibility with SparseMatrix */
	inline void startVec(Index /outer/) {}

	/** \returns a reference to the non zero coefficient at position \a row, \a col assuming that:
	* - the nonzero does not already exist
	* - the new coefficient is the last one of the given inner vector.
	*
	* \sa insert, insertBackByOuterInner */
	inline Scalar& insertBack(Index row, Index col)
	{
	return insertBackByOuterInner(IsRowMajor?row:col, IsRowMajor?col:row);
	}

	/** \sa insertBack */
	inline Scalar& insertBackByOuterInner(Index outer, Index inner)
	{
	eigen_assert(outer<Index(m_data.size()) && inner<m_innerSize && "out of range");
	eigen_assert(((m_data[outer].size()==0) \|\| (m_data[outer].index(m_data[outer].size()-1)<inner))
	&& "wrong sorted insertion");
	m_data[outer].append(0, inner);
	return m_data[outer].value(m_data[outer].size()-1);
	}

	inline Scalar& insert(Index row, Index col)
	{
	const Index outer = IsRowMajor ? row : col;
	const Index inner = IsRowMajor ? col : row;

	Index startId = 0;
	Index id = static_cast<Index>(m_data[outer].size()) - 1;
	m_data[outer].resize(id+2,1);

	while ( (id >= startId) && (m_data[outer].index(id) > inner) )
	{
	m_data[outer].index(id+1) = m_data[outer].index(id);
	m_data[outer].value(id+1) = m_data[outer].value(id);
	--id;
	}
	m_data[outer].index(id+1) = inner;
	m_data[outer].value(id+1) = 0;
	return m_data[outer].value(id+1);
	}

	/** Does nothing: provided for compatibility with SparseMatrix */
	inline void finalize() {}

	/** Suppress all nonzeros which are smaller than \a reference under the tolerence \a epsilon */
	void prune(Scalar reference, RealScalar epsilon = NumTraits<RealScalar>::dummy_precision())
	{
	for (Index j=0; j<outerSize(); ++j)
	m_data[j].prune(reference,epsilon);
	}

	/** Resize the matrix without preserving the data (the matrix is set to zero)
	*/
	void resize(Index rows, Index cols)
	{
	const Index outerSize = IsRowMajor ? rows : cols;
	m_innerSize = IsRowMajor ? cols : rows;
	setZero();
	if (Index(m_data.size()) != outerSize)
	{
	m_data.resize(outerSize);
	}
	}

	void resizeAndKeepData(Index rows, Index cols)
	{
	const Index outerSize = IsRowMajor ? rows : cols;
	const Index innerSize = IsRowMajor ? cols : rows;
	if (m_innerSize>innerSize)
	{
	// remove all coefficients with innerCoord>=innerSize
	// TODO
	//std::cerr << "not implemented yet\n";
	exit(2);
	}
	if (m_data.size() != outerSize)
	{
	m_data.resize(outerSize);
	}
	}

	/** The class DynamicSparseMatrix is deprectaed */
	EIGEN_DEPRECATED inline DynamicSparseMatrix()
	: m_innerSize(0), m_data(0)
	{
	eigen_assert(innerSize()==0 && outerSize()==0);
	}

	/** The class DynamicSparseMatrix is deprectaed */
	EIGEN_DEPRECATED inline DynamicSparseMatrix(Index rows, Index cols)
	: m_innerSize(0)
	{
	resize(rows, cols);
	}

	/** The class DynamicSparseMatrix is deprectaed */
	template<typename OtherDerived>
	EIGEN_DEPRECATED explicit inline DynamicSparseMatrix(const SparseMatrixBase<OtherDerived>& other)
	: m_innerSize(0)
	{
	Base::operator=(other.derived());
	}

	inline DynamicSparseMatrix(const DynamicSparseMatrix& other)
	: Base(), m_innerSize(0)
	{
	*this = other.derived();
	}

	inline void swap(DynamicSparseMatrix& other)
	{
	//EIGEN_DBG_SPARSE(std::cout << "SparseMatrix:: swap\n");
	std::swap(m_innerSize, other.m_innerSize);
	//std::swap(m_outerSize, other.m_outerSize);
	m_data.swap(other.m_data);
	}

	inline DynamicSparseMatrix& operator=(const DynamicSparseMatrix& other)
	{
	if (other.isRValue())
	{
	swap(other.const_cast_derived());
	}
	else
	{
	resize(other.rows(), other.cols());
	m_data = other.m_data;
	}
	return *this;
	}

	/** Destructor */
	inline ~DynamicSparseMatrix() {}

	public:

	/** \deprecated
	* Set the matrix to zero and reserve the memory for \a reserveSize nonzero coefficients. */
	EIGEN_DEPRECATED void startFill(Index reserveSize = 1000)
	{
	setZero();
	reserve(reserveSize);
	}

	/** \deprecated use insert()
	* inserts a nonzero coefficient at given coordinates \a row, \a col and returns its reference assuming that:
	* 1 - the coefficient does not exist yet
	* 2 - this the coefficient with greater inner coordinate for the given outer coordinate.
	* In other words, assuming \c *this is column-major, then there must not exists any nonzero coefficient of coordinates
	* \c i \c x \a col such that \c i >= \a row. Otherwise the matrix is invalid.
	*
	* \see fillrand(), coeffRef()
	*/
	EIGEN_DEPRECATED Scalar& fill(Index row, Index col)
	{
	const Index outer = IsRowMajor ? row : col;
	const Index inner = IsRowMajor ? col : row;
	return insertBack(outer,inner);
	}

	/** \deprecated use insert()
	* Like fill() but with random inner coordinates.
	* Compared to the generic coeffRef(), the unique limitation is that we assume
	* the coefficient does not exist yet.
	*/
	EIGEN_DEPRECATED Scalar& fillrand(Index row, Index col)
	{
	return insert(row,col);
	}

	/** \deprecated use finalize()
	* Does nothing. Provided for compatibility with SparseMatrix. */
	EIGEN_DEPRECATED void endFill() {}

	# ifdef EIGEN_DYNAMICSPARSEMATRIX_PLUGIN
	# include EIGEN_DYNAMICSPARSEMATRIX_PLUGIN
	# endif
	};

	template<typename Scalar, int _Options, typename _Index>
	class DynamicSparseMatrix<Scalar,_Options,_Index>::InnerIterator : public SparseVector<Scalar,_Options,_Index>::InnerIterator
	{
	typedef typename SparseVector<Scalar,_Options,_Index>::InnerIterator Base;
	public:
	InnerIterator(const DynamicSparseMatrix& mat, Index outer)
	: Base(mat.m_data[outer]), m_outer(outer)
	{}

	inline Index row() const { return IsRowMajor ? m_outer : Base::index(); }
	inline Index col() const { return IsRowMajor ? Base::index() : m_outer; }

	protected:
	const Index m_outer;
	};

	template<typename Scalar, int _Options, typename _Index>
	class DynamicSparseMatrix<Scalar,_Options,_Index>::ReverseInnerIterator : public SparseVector<Scalar,_Options,_Index>::ReverseInnerIterator
	{
	typedef typename SparseVector<Scalar,_Options,_Index>::ReverseInnerIterator Base;
	public:
	ReverseInnerIterator(const DynamicSparseMatrix& mat, Index outer)
	: Base(mat.m_data[outer]), m_outer(outer)
	{}

	inline Index row() const { return IsRowMajor ? m_outer : Base::index(); }
	inline Index col() const { return IsRowMajor ? Base::index() : m_outer; }

	protected:
	const Index m_outer;
	};

	} // end namespace Eigen

	#endif // EIGEN_DYNAMIC_SPARSEMATRIX_H