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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 Size>           class SparseInnerVectorSet;
77 template<typename MatrixType, int Mode>           class SparseTriangularView;
78 template<typename MatrixType, unsigned int UpLo>  class SparseSelfAdjointView;
79 template<typename Lhs, typename Rhs>              class SparseDiagonalProduct;
80 template<typename MatrixType> class SparseView;
81 
82 template<typename Lhs, typename Rhs>        class SparseSparseProduct;
83 template<typename Lhs, typename Rhs>        class SparseTimeDenseProduct;
84 template<typename Lhs, typename Rhs>        class DenseTimeSparseProduct;
85 template<typename Lhs, typename Rhs, bool Transpose> class SparseDenseOuterProduct;
86 
87 template<typename Lhs, typename Rhs> struct SparseSparseProductReturnType;
88 template<typename Lhs, typename Rhs, int InnerSize = internal::traits<Lhs>::ColsAtCompileTime> struct DenseSparseProductReturnType;
89 template<typename Lhs, typename Rhs, int InnerSize = internal::traits<Lhs>::ColsAtCompileTime> struct SparseDenseProductReturnType;
90 template<typename MatrixType,int UpLo> class SparseSymmetricPermutationProduct;
91 
92 namespace internal {
93 
94 template<typename T,int Rows,int Cols> struct sparse_eval;
95 
96 template<typename T> struct eval<T,Sparse>
97   : public sparse_eval<T, traits<T>::RowsAtCompileTime,traits<T>::ColsAtCompileTime>
98 {};
99 
100 template<typename T,int Cols> struct sparse_eval<T,1,Cols> {
101     typedef typename traits<T>::Scalar _Scalar;
102     enum { _Flags = traits<T>::Flags| RowMajorBit };
103   public:
104     typedef SparseVector<_Scalar, _Flags> type;
105 };
106 
107 template<typename T,int Rows> struct sparse_eval<T,Rows,1> {
108     typedef typename traits<T>::Scalar _Scalar;
109     enum { _Flags = traits<T>::Flags & (~RowMajorBit) };
110   public:
111     typedef SparseVector<_Scalar, _Flags> type;
112 };
113 
114 template<typename T,int Rows,int Cols> struct sparse_eval {
115     typedef typename traits<T>::Scalar _Scalar;
116     enum { _Flags = traits<T>::Flags };
117   public:
118     typedef SparseMatrix<_Scalar, _Flags> type;
119 };
120 
121 template<typename T> struct sparse_eval<T,1,1> {
122     typedef typename traits<T>::Scalar _Scalar;
123   public:
124     typedef Matrix<_Scalar, 1, 1> type;
125 };
126 
127 template<typename T> struct plain_matrix_type<T,Sparse>
128 {
129   typedef typename traits<T>::Scalar _Scalar;
130     enum {
131           _Flags = traits<T>::Flags
132     };
133 
134   public:
135     typedef SparseMatrix<_Scalar, _Flags> 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=unsigned int>
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