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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2008-2014 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_SPARSEUTIL_H
     11 #define EIGEN_SPARSEUTIL_H
     12 
     13 namespace Eigen {
     14 
     15 #ifdef NDEBUG
     16 #define EIGEN_DBG_SPARSE(X)
     17 #else
     18 #define EIGEN_DBG_SPARSE(X) X
     19 #endif
     20 
     21 #define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, Op) \
     22 template<typename OtherDerived> \
     23 EIGEN_STRONG_INLINE Derived& operator Op(const Eigen::SparseMatrixBase<OtherDerived>& other) \
     24 { \
     25   return Base::operator Op(other.derived()); \
     26 } \
     27 EIGEN_STRONG_INLINE Derived& operator Op(const Derived& other) \
     28 { \
     29   return Base::operator Op(other); \
     30 }
     31 
     32 #define EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, Op) \
     33 template<typename Other> \
     34 EIGEN_STRONG_INLINE Derived& operator Op(const Other& scalar) \
     35 { \
     36   return Base::operator Op(scalar); \
     37 }
     38 
     39 #define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATORS(Derived) \
     40 EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, =)
     41 
     42 
     43 #define EIGEN_SPARSE_PUBLIC_INTERFACE(Derived) \
     44   EIGEN_GENERIC_PUBLIC_INTERFACE(Derived)
     45 
     46 
     47 const int CoherentAccessPattern     = 0x1;
     48 const int InnerRandomAccessPattern  = 0x2 | CoherentAccessPattern;
     49 const int OuterRandomAccessPattern  = 0x4 | CoherentAccessPattern;
     50 const int RandomAccessPattern       = 0x8 | OuterRandomAccessPattern | InnerRandomAccessPattern;
     51 
     52 template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int>  class SparseMatrix;
     53 template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int>  class DynamicSparseMatrix;
     54 template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int>  class SparseVector;
     55 template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int>  class MappedSparseMatrix;
     56 
     57 template<typename MatrixType, unsigned int UpLo>  class SparseSelfAdjointView;
     58 template<typename Lhs, typename Rhs>              class SparseDiagonalProduct;
     59 template<typename MatrixType> class SparseView;
     60 
     61 template<typename Lhs, typename Rhs>        class SparseSparseProduct;
     62 template<typename Lhs, typename Rhs>        class SparseTimeDenseProduct;
     63 template<typename Lhs, typename Rhs>        class DenseTimeSparseProduct;
     64 template<typename Lhs, typename Rhs, bool Transpose> class SparseDenseOuterProduct;
     65 
     66 template<typename Lhs, typename Rhs> struct SparseSparseProductReturnType;
     67 template<typename Lhs, typename Rhs,
     68          int InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(internal::traits<Lhs>::ColsAtCompileTime,internal::traits<Rhs>::RowsAtCompileTime)> struct DenseSparseProductReturnType;
     69 
     70 template<typename Lhs, typename Rhs,
     71          int InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(internal::traits<Lhs>::ColsAtCompileTime,internal::traits<Rhs>::RowsAtCompileTime)> struct SparseDenseProductReturnType;
     72 template<typename MatrixType,int UpLo> class SparseSymmetricPermutationProduct;
     73 
     74 namespace internal {
     75 
     76 template<typename T,int Rows,int Cols,int Flags> struct sparse_eval;
     77 
     78 template<typename T> struct eval<T,Sparse>
     79   : sparse_eval<T, traits<T>::RowsAtCompileTime,traits<T>::ColsAtCompileTime,traits<T>::Flags>
     80 {};
     81 
     82 template<typename T,int Cols,int Flags> struct sparse_eval<T,1,Cols,Flags> {
     83     typedef typename traits<T>::Scalar _Scalar;
     84     typedef typename traits<T>::StorageIndex _StorageIndex;
     85   public:
     86     typedef SparseVector<_Scalar, RowMajor, _StorageIndex> type;
     87 };
     88 
     89 template<typename T,int Rows,int Flags> struct sparse_eval<T,Rows,1,Flags> {
     90     typedef typename traits<T>::Scalar _Scalar;
     91     typedef typename traits<T>::StorageIndex _StorageIndex;
     92   public:
     93     typedef SparseVector<_Scalar, ColMajor, _StorageIndex> type;
     94 };
     95 
     96 // TODO this seems almost identical to plain_matrix_type<T, Sparse>
     97 template<typename T,int Rows,int Cols,int Flags> struct sparse_eval {
     98     typedef typename traits<T>::Scalar _Scalar;
     99     typedef typename traits<T>::StorageIndex _StorageIndex;
    100     enum { _Options = ((Flags&RowMajorBit)==RowMajorBit) ? RowMajor : ColMajor };
    101   public:
    102     typedef SparseMatrix<_Scalar, _Options, _StorageIndex> type;
    103 };
    104 
    105 template<typename T,int Flags> struct sparse_eval<T,1,1,Flags> {
    106     typedef typename traits<T>::Scalar _Scalar;
    107   public:
    108     typedef Matrix<_Scalar, 1, 1> type;
    109 };
    110 
    111 template<typename T> struct plain_matrix_type<T,Sparse>
    112 {
    113   typedef typename traits<T>::Scalar _Scalar;
    114   typedef typename traits<T>::StorageIndex _StorageIndex;
    115   enum { _Options = ((evaluator<T>::Flags&RowMajorBit)==RowMajorBit) ? RowMajor : ColMajor };
    116   public:
    117     typedef SparseMatrix<_Scalar, _Options, _StorageIndex> type;
    118 };
    119 
    120 template<typename T>
    121 struct plain_object_eval<T,Sparse>
    122   : sparse_eval<T, traits<T>::RowsAtCompileTime,traits<T>::ColsAtCompileTime, evaluator<T>::Flags>
    123 {};
    124 
    125 template<typename Decomposition, typename RhsType>
    126 struct solve_traits<Decomposition,RhsType,Sparse>
    127 {
    128   typedef typename sparse_eval<RhsType, RhsType::RowsAtCompileTime, RhsType::ColsAtCompileTime,traits<RhsType>::Flags>::type PlainObject;
    129 };
    130 
    131 template<typename Derived>
    132 struct generic_xpr_base<Derived, MatrixXpr, Sparse>
    133 {
    134   typedef SparseMatrixBase<Derived> type;
    135 };
    136 
    137 struct SparseTriangularShape  { static std::string debugName() { return "SparseTriangularShape"; } };
    138 struct SparseSelfAdjointShape { static std::string debugName() { return "SparseSelfAdjointShape"; } };
    139 
    140 template<> struct glue_shapes<SparseShape,SelfAdjointShape> { typedef SparseSelfAdjointShape type;  };
    141 template<> struct glue_shapes<SparseShape,TriangularShape > { typedef SparseTriangularShape  type;  };
    142 
    143 } // end namespace internal
    144 
    145 /** \ingroup SparseCore_Module
    146   *
    147   * \class Triplet
    148   *
    149   * \brief A small structure to hold a non zero as a triplet (i,j,value).
    150   *
    151   * \sa SparseMatrix::setFromTriplets()
    152   */
    153 template<typename Scalar, typename StorageIndex=typename SparseMatrix<Scalar>::StorageIndex >
    154 class Triplet
    155 {
    156 public:
    157   Triplet() : m_row(0), m_col(0), m_value(0) {}
    158 
    159   Triplet(const StorageIndex& i, const StorageIndex& j, const Scalar& v = Scalar(0))
    160     : m_row(i), m_col(j), m_value(v)
    161   {}
    162 
    163   /** \returns the row index of the element */
    164   const StorageIndex& row() const { return m_row; }
    165 
    166   /** \returns the column index of the element */
    167   const StorageIndex& col() const { return m_col; }
    168 
    169   /** \returns the value of the element */
    170   const Scalar& value() const { return m_value; }
    171 protected:
    172   StorageIndex m_row, m_col;
    173   Scalar m_value;
    174 };
    175 
    176 } // end namespace Eigen
    177 
    178 #endif // EIGEN_SPARSEUTIL_H
    179