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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud (at) inria.fr>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #ifndef EIGEN_MAPPED_SPARSEMATRIX_H
     11 #define EIGEN_MAPPED_SPARSEMATRIX_H
     12 
     13 namespace Eigen {
     14 
     15 /** \class MappedSparseMatrix
     16   *
     17   * \brief Sparse matrix
     18   *
     19   * \param _Scalar the scalar type, i.e. the type of the coefficients
     20   *
     21   * See http://www.netlib.org/linalg/html_templates/node91.html for details on the storage scheme.
     22   *
     23   */
     24 namespace internal {
     25 template<typename _Scalar, int _Flags, typename _Index>
     26 struct traits<MappedSparseMatrix<_Scalar, _Flags, _Index> > : traits<SparseMatrix<_Scalar, _Flags, _Index> >
     27 {};
     28 }
     29 
     30 template<typename _Scalar, int _Flags, typename _Index>
     31 class MappedSparseMatrix
     32   : public SparseMatrixBase<MappedSparseMatrix<_Scalar, _Flags, _Index> >
     33 {
     34   public:
     35     EIGEN_SPARSE_PUBLIC_INTERFACE(MappedSparseMatrix)
     36     enum { IsRowMajor = Base::IsRowMajor };
     37 
     38   protected:
     39 
     40     Index   m_outerSize;
     41     Index   m_innerSize;
     42     Index   m_nnz;
     43     Index*  m_outerIndex;
     44     Index*  m_innerIndices;
     45     Scalar* m_values;
     46 
     47   public:
     48 
     49     inline Index rows() const { return IsRowMajor ? m_outerSize : m_innerSize; }
     50     inline Index cols() const { return IsRowMajor ? m_innerSize : m_outerSize; }
     51     inline Index innerSize() const { return m_innerSize; }
     52     inline Index outerSize() const { return m_outerSize; }
     53 
     54     //----------------------------------------
     55     // direct access interface
     56     inline const Scalar* valuePtr() const { return m_values; }
     57     inline Scalar* valuePtr() { return m_values; }
     58 
     59     inline const Index* innerIndexPtr() const { return m_innerIndices; }
     60     inline Index* innerIndexPtr() { return m_innerIndices; }
     61 
     62     inline const Index* outerIndexPtr() const { return m_outerIndex; }
     63     inline Index* outerIndexPtr() { return m_outerIndex; }
     64     //----------------------------------------
     65 
     66     inline Scalar coeff(Index row, Index col) const
     67     {
     68       const Index outer = IsRowMajor ? row : col;
     69       const Index inner = IsRowMajor ? col : row;
     70 
     71       Index start = m_outerIndex[outer];
     72       Index end = m_outerIndex[outer+1];
     73       if (start==end)
     74         return Scalar(0);
     75       else if (end>0 && inner==m_innerIndices[end-1])
     76         return m_values[end-1];
     77       // ^^  optimization: let's first check if it is the last coefficient
     78       // (very common in high level algorithms)
     79 
     80       const Index* r = std::lower_bound(&m_innerIndices[start],&m_innerIndices[end-1],inner);
     81       const Index id = r-&m_innerIndices[0];
     82       return ((*r==inner) && (id<end)) ? m_values[id] : Scalar(0);
     83     }
     84 
     85     inline Scalar& coeffRef(Index row, Index col)
     86     {
     87       const Index outer = IsRowMajor ? row : col;
     88       const Index inner = IsRowMajor ? col : row;
     89 
     90       Index start = m_outerIndex[outer];
     91       Index end = m_outerIndex[outer+1];
     92       eigen_assert(end>=start && "you probably called coeffRef on a non finalized matrix");
     93       eigen_assert(end>start && "coeffRef cannot be called on a zero coefficient");
     94       Index* r = std::lower_bound(&m_innerIndices[start],&m_innerIndices[end],inner);
     95       const Index id = r-&m_innerIndices[0];
     96       eigen_assert((*r==inner) && (id<end) && "coeffRef cannot be called on a zero coefficient");
     97       return m_values[id];
     98     }
     99 
    100     class InnerIterator;
    101     class ReverseInnerIterator;
    102 
    103     /** \returns the number of non zero coefficients */
    104     inline Index nonZeros() const  { return m_nnz; }
    105 
    106     inline MappedSparseMatrix(Index rows, Index cols, Index nnz, Index* outerIndexPtr, Index* innerIndexPtr, Scalar* valuePtr)
    107       : m_outerSize(IsRowMajor?rows:cols), m_innerSize(IsRowMajor?cols:rows), m_nnz(nnz), m_outerIndex(outerIndexPtr),
    108         m_innerIndices(innerIndexPtr), m_values(valuePtr)
    109     {}
    110 
    111     /** Empty destructor */
    112     inline ~MappedSparseMatrix() {}
    113 };
    114 
    115 template<typename Scalar, int _Flags, typename _Index>
    116 class MappedSparseMatrix<Scalar,_Flags,_Index>::InnerIterator
    117 {
    118   public:
    119     InnerIterator(const MappedSparseMatrix& mat, Index outer)
    120       : m_matrix(mat),
    121         m_outer(outer),
    122         m_id(mat.outerIndexPtr()[outer]),
    123         m_start(m_id),
    124         m_end(mat.outerIndexPtr()[outer+1])
    125     {}
    126 
    127     inline InnerIterator& operator++() { m_id++; return *this; }
    128 
    129     inline Scalar value() const { return m_matrix.valuePtr()[m_id]; }
    130     inline Scalar& valueRef() { return const_cast<Scalar&>(m_matrix.valuePtr()[m_id]); }
    131 
    132     inline Index index() const { return m_matrix.innerIndexPtr()[m_id]; }
    133     inline Index row() const { return IsRowMajor ? m_outer : index(); }
    134     inline Index col() const { return IsRowMajor ? index() : m_outer; }
    135 
    136     inline operator bool() const { return (m_id < m_end) && (m_id>=m_start); }
    137 
    138   protected:
    139     const MappedSparseMatrix& m_matrix;
    140     const Index m_outer;
    141     Index m_id;
    142     const Index m_start;
    143     const Index m_end;
    144 };
    145 
    146 template<typename Scalar, int _Flags, typename _Index>
    147 class MappedSparseMatrix<Scalar,_Flags,_Index>::ReverseInnerIterator
    148 {
    149   public:
    150     ReverseInnerIterator(const MappedSparseMatrix& mat, Index outer)
    151       : m_matrix(mat),
    152         m_outer(outer),
    153         m_id(mat.outerIndexPtr()[outer+1]),
    154         m_start(mat.outerIndexPtr()[outer]),
    155         m_end(m_id)
    156     {}
    157 
    158     inline ReverseInnerIterator& operator--() { m_id--; return *this; }
    159 
    160     inline Scalar value() const { return m_matrix.valuePtr()[m_id-1]; }
    161     inline Scalar& valueRef() { return const_cast<Scalar&>(m_matrix.valuePtr()[m_id-1]); }
    162 
    163     inline Index index() const { return m_matrix.innerIndexPtr()[m_id-1]; }
    164     inline Index row() const { return IsRowMajor ? m_outer : index(); }
    165     inline Index col() const { return IsRowMajor ? index() : m_outer; }
    166 
    167     inline operator bool() const { return (m_id <= m_end) && (m_id>m_start); }
    168 
    169   protected:
    170     const MappedSparseMatrix& m_matrix;
    171     const Index m_outer;
    172     Index m_id;
    173     const Index m_start;
    174     const Index m_end;
    175 };
    176 
    177 } // end namespace Eigen
    178 
    179 #endif // EIGEN_MAPPED_SPARSEMATRIX_H
    180