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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@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 EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, +=) \
42 EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, -=) \
43 EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, *=) \
44 EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, /=)
45 
46 #define _EIGEN_SPARSE_PUBLIC_INTERFACE(Derived, BaseClass) \
47   typedef BaseClass Base; \
48   typedef typename Eigen::internal::traits<Derived >::Scalar Scalar; \
49   typedef typename Eigen::NumTraits<Scalar>::Real RealScalar; \
50   typedef typename Eigen::internal::nested<Derived >::type Nested; \
51   typedef typename Eigen::internal::traits<Derived >::StorageKind StorageKind; \
52   typedef typename Eigen::internal::traits<Derived >::Index Index; \
53   enum { RowsAtCompileTime = Eigen::internal::traits<Derived >::RowsAtCompileTime, \
54         ColsAtCompileTime = Eigen::internal::traits<Derived >::ColsAtCompileTime, \
55         Flags = Eigen::internal::traits<Derived >::Flags, \
56         CoeffReadCost = Eigen::internal::traits<Derived >::CoeffReadCost, \
57         SizeAtCompileTime = Base::SizeAtCompileTime, \
58         IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \
59   using Base::derived; \
60   using Base::const_cast_derived;
61 
62 #define EIGEN_SPARSE_PUBLIC_INTERFACE(Derived) \
63   _EIGEN_SPARSE_PUBLIC_INTERFACE(Derived, Eigen::SparseMatrixBase<Derived >)
64 
65 const int CoherentAccessPattern     = 0x1;
66 const int InnerRandomAccessPattern  = 0x2 | CoherentAccessPattern;
67 const int OuterRandomAccessPattern  = 0x4 | CoherentAccessPattern;
68 const int RandomAccessPattern       = 0x8 | OuterRandomAccessPattern | InnerRandomAccessPattern;
69 
70 template<typename Derived> class SparseMatrixBase;
71 template<typename _Scalar, int _Flags = 0, typename _Index = int>  class SparseMatrix;
72 template<typename _Scalar, int _Flags = 0, typename _Index = int>  class DynamicSparseMatrix;
73 template<typename _Scalar, int _Flags = 0, typename _Index = int>  class SparseVector;
74 template<typename _Scalar, int _Flags = 0, typename _Index = int>  class MappedSparseMatrix;
75 
76 template<typename MatrixType, int Mode>           class SparseTriangularView;
77 template<typename MatrixType, unsigned int UpLo>  class SparseSelfAdjointView;
78 template<typename Lhs, typename Rhs>              class SparseDiagonalProduct;
79 template<typename MatrixType> class SparseView;
80 
81 template<typename Lhs, typename Rhs>        class SparseSparseProduct;
82 template<typename Lhs, typename Rhs>        class SparseTimeDenseProduct;
83 template<typename Lhs, typename Rhs>        class DenseTimeSparseProduct;
84 template<typename Lhs, typename Rhs, bool Transpose> class SparseDenseOuterProduct;
85 
86 template<typename Lhs, typename Rhs> struct SparseSparseProductReturnType;
87 template<typename Lhs, typename Rhs,
88          int InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(internal::traits<Lhs>::ColsAtCompileTime,internal::traits<Rhs>::RowsAtCompileTime)> struct DenseSparseProductReturnType;
89 template<typename Lhs, typename Rhs,
90          int InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(internal::traits<Lhs>::ColsAtCompileTime,internal::traits<Rhs>::RowsAtCompileTime)> struct SparseDenseProductReturnType;
91 template<typename MatrixType,int UpLo> class SparseSymmetricPermutationProduct;
92 
93 namespace internal {
94 
95 template<typename T,int Rows,int Cols> struct sparse_eval;
96 
97 template<typename T> struct eval<T,Sparse>
98   : public sparse_eval<T, traits<T>::RowsAtCompileTime,traits<T>::ColsAtCompileTime>
99 {};
100 
101 template<typename T,int Cols> struct sparse_eval<T,1,Cols> {
102     typedef typename traits<T>::Scalar _Scalar;
103     typedef typename traits<T>::Index _Index;
104   public:
105     typedef SparseVector<_Scalar, RowMajor, _Index> type;
106 };
107 
108 template<typename T,int Rows> struct sparse_eval<T,Rows,1> {
109     typedef typename traits<T>::Scalar _Scalar;
110     typedef typename traits<T>::Index _Index;
111   public:
112     typedef SparseVector<_Scalar, ColMajor, _Index> type;
113 };
114 
115 template<typename T,int Rows,int Cols> struct sparse_eval {
116     typedef typename traits<T>::Scalar _Scalar;
117     typedef typename traits<T>::Index _Index;
118     enum { _Options = ((traits<T>::Flags&RowMajorBit)==RowMajorBit) ? RowMajor : ColMajor };
119   public:
120     typedef SparseMatrix<_Scalar, _Options, _Index> type;
121 };
122 
123 template<typename T> struct sparse_eval<T,1,1> {
124     typedef typename traits<T>::Scalar _Scalar;
125   public:
126     typedef Matrix<_Scalar, 1, 1> type;
127 };
128 
129 template<typename T> struct plain_matrix_type<T,Sparse>
130 {
131   typedef typename traits<T>::Scalar _Scalar;
132   typedef typename traits<T>::Index _Index;
133   enum { _Options = ((traits<T>::Flags&RowMajorBit)==RowMajorBit) ? RowMajor : ColMajor };
134   public:
135     typedef SparseMatrix<_Scalar, _Options, _Index> type;
136 };
137 
138 } // end namespace internal
139 
140 /** \ingroup SparseCore_Module
141   *
142   * \class Triplet
143   *
144   * \brief A small structure to hold a non zero as a triplet (i,j,value).
145   *
146   * \sa SparseMatrix::setFromTriplets()
147   */
148 template<typename Scalar, typename Index=typename SparseMatrix<Scalar>::Index >
149 class Triplet
150 {
151 public:
152   Triplet() : m_row(0), m_col(0), m_value(0) {}
153 
154   Triplet(const Index& i, const Index& j, const Scalar& v = Scalar(0))
155     : m_row(i), m_col(j), m_value(v)
156   {}
157 
158   /** \returns the row index of the element */
159   const Index& row() const { return m_row; }
160 
161   /** \returns the column index of the element */
162   const Index& col() const { return m_col; }
163 
164   /** \returns the value of the element */
165   const Scalar& value() const { return m_value; }
166 protected:
167   Index m_row, m_col;
168   Scalar m_value;
169 };
170 
171 } // end namespace Eigen
172 
173 #endif // EIGEN_SPARSEUTIL_H
174