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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2014 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_SPARSEUTIL_H
+#define EIGEN_SPARSEUTIL_H
+
+namespace Eigen {
+
+#ifdef NDEBUG
+#define EIGEN_DBG_SPARSE(X)
+#else
+#define EIGEN_DBG_SPARSE(X) X
+#endif
+
+#define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, Op) \
+template<typename OtherDerived> \
+EIGEN_STRONG_INLINE Derived& operator Op(const Eigen::SparseMatrixBase<OtherDerived>& other) \
+{ \
+ return Base::operator Op(other.derived()); \
+} \
+EIGEN_STRONG_INLINE Derived& operator Op(const Derived& other) \
+{ \
+ return Base::operator Op(other); \
+}
+
+#define EIGEN_SPARSE_INHERIT_SCALAR_ASSIGNMENT_OPERATOR(Derived, Op) \
+template<typename Other> \
+EIGEN_STRONG_INLINE Derived& operator Op(const Other& scalar) \
+{ \
+ return Base::operator Op(scalar); \
+}
+
+#define EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATORS(Derived) \
+EIGEN_SPARSE_INHERIT_ASSIGNMENT_OPERATOR(Derived, =)
+
+
+#define EIGEN_SPARSE_PUBLIC_INTERFACE(Derived) \
+ EIGEN_GENERIC_PUBLIC_INTERFACE(Derived)
+
+
+const int CoherentAccessPattern = 0x1;
+const int InnerRandomAccessPattern = 0x2 | CoherentAccessPattern;
+const int OuterRandomAccessPattern = 0x4 | CoherentAccessPattern;
+const int RandomAccessPattern = 0x8 | OuterRandomAccessPattern | InnerRandomAccessPattern;
+
+template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int> class SparseMatrix;
+template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int> class DynamicSparseMatrix;
+template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int> class SparseVector;
+template<typename _Scalar, int _Flags = 0, typename _StorageIndex = int> class MappedSparseMatrix;
+
+template<typename MatrixType, unsigned int UpLo> class SparseSelfAdjointView;
+template<typename Lhs, typename Rhs> class SparseDiagonalProduct;
+template<typename MatrixType> class SparseView;
+
+template<typename Lhs, typename Rhs> class SparseSparseProduct;
+template<typename Lhs, typename Rhs> class SparseTimeDenseProduct;
+template<typename Lhs, typename Rhs> class DenseTimeSparseProduct;
+template<typename Lhs, typename Rhs, bool Transpose> class SparseDenseOuterProduct;
+
+template<typename Lhs, typename Rhs> struct SparseSparseProductReturnType;
+template<typename Lhs, typename Rhs,
+ int InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(internal::traits<Lhs>::ColsAtCompileTime,internal::traits<Rhs>::RowsAtCompileTime)> struct DenseSparseProductReturnType;
+
+template<typename Lhs, typename Rhs,
+ int InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(internal::traits<Lhs>::ColsAtCompileTime,internal::traits<Rhs>::RowsAtCompileTime)> struct SparseDenseProductReturnType;
+template<typename MatrixType,int UpLo> class SparseSymmetricPermutationProduct;
+
+namespace internal {
+
+template<typename T,int Rows,int Cols,int Flags> struct sparse_eval;
+
+template<typename T> struct eval<T,Sparse>
+ : sparse_eval<T, traits<T>::RowsAtCompileTime,traits<T>::ColsAtCompileTime,traits<T>::Flags>
+{};
+
+template<typename T,int Cols,int Flags> struct sparse_eval<T,1,Cols,Flags> {
+ typedef typename traits<T>::Scalar _Scalar;
+ typedef typename traits<T>::StorageIndex _StorageIndex;
+ public:
+ typedef SparseVector<_Scalar, RowMajor, _StorageIndex> type;
+};
+
+template<typename T,int Rows,int Flags> struct sparse_eval<T,Rows,1,Flags> {
+ typedef typename traits<T>::Scalar _Scalar;
+ typedef typename traits<T>::StorageIndex _StorageIndex;
+ public:
+ typedef SparseVector<_Scalar, ColMajor, _StorageIndex> type;
+};
+
+// TODO this seems almost identical to plain_matrix_type<T, Sparse>
+template<typename T,int Rows,int Cols,int Flags> struct sparse_eval {
+ typedef typename traits<T>::Scalar _Scalar;
+ typedef typename traits<T>::StorageIndex _StorageIndex;
+ enum { _Options = ((Flags&RowMajorBit)==RowMajorBit) ? RowMajor : ColMajor };
+ public:
+ typedef SparseMatrix<_Scalar, _Options, _StorageIndex> type;
+};
+
+template<typename T,int Flags> struct sparse_eval<T,1,1,Flags> {
+ typedef typename traits<T>::Scalar _Scalar;
+ public:
+ typedef Matrix<_Scalar, 1, 1> type;
+};
+
+template<typename T> struct plain_matrix_type<T,Sparse>
+{
+ typedef typename traits<T>::Scalar _Scalar;
+ typedef typename traits<T>::StorageIndex _StorageIndex;
+ enum { _Options = ((evaluator<T>::Flags&RowMajorBit)==RowMajorBit) ? RowMajor : ColMajor };
+ public:
+ typedef SparseMatrix<_Scalar, _Options, _StorageIndex> type;
+};
+
+template<typename T>
+struct plain_object_eval<T,Sparse>
+ : sparse_eval<T, traits<T>::RowsAtCompileTime,traits<T>::ColsAtCompileTime, evaluator<T>::Flags>
+{};
+
+template<typename Decomposition, typename RhsType>
+struct solve_traits<Decomposition,RhsType,Sparse>
+{
+ typedef typename sparse_eval<RhsType, RhsType::RowsAtCompileTime, RhsType::ColsAtCompileTime,traits<RhsType>::Flags>::type PlainObject;
+};
+
+template<typename Derived>
+struct generic_xpr_base<Derived, MatrixXpr, Sparse>
+{
+ typedef SparseMatrixBase<Derived> type;
+};
+
+struct SparseTriangularShape { static std::string debugName() { return "SparseTriangularShape"; } };
+struct SparseSelfAdjointShape { static std::string debugName() { return "SparseSelfAdjointShape"; } };
+
+template<> struct glue_shapes<SparseShape,SelfAdjointShape> { typedef SparseSelfAdjointShape type; };
+template<> struct glue_shapes<SparseShape,TriangularShape > { typedef SparseTriangularShape type; };
+
+} // end namespace internal
+
+/** \ingroup SparseCore_Module
+ *
+ * \class Triplet
+ *
+ * \brief A small structure to hold a non zero as a triplet (i,j,value).
+ *
+ * \sa SparseMatrix::setFromTriplets()
+ */
+template<typename Scalar, typename StorageIndex=typename SparseMatrix<Scalar>::StorageIndex >
+class Triplet
+{
+public:
+ Triplet() : m_row(0), m_col(0), m_value(0) {}
+
+ Triplet(const StorageIndex& i, const StorageIndex& j, const Scalar& v = Scalar(0))
+ : m_row(i), m_col(j), m_value(v)
+ {}
+
+ /** \returns the row index of the element */
+ const StorageIndex& row() const { return m_row; }
+
+ /** \returns the column index of the element */
+ const StorageIndex& col() const { return m_col; }
+
+ /** \returns the value of the element */
+ const Scalar& value() const { return m_value; }
+protected:
+ StorageIndex m_row, m_col;
+ Scalar m_value;
+};
+
+} // end namespace Eigen
+
+#endif // EIGEN_SPARSEUTIL_H