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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 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_SPARSESOLVERBASE_H
+#define EIGEN_SPARSESOLVERBASE_H
+
+namespace Eigen {
+
+namespace internal {
+
+ /** \internal
+ * Helper functions to solve with a sparse right-hand-side and result.
+ * The rhs is decomposed into small vertical panels which are solved through dense temporaries.
+ */
+template<typename Decomposition, typename Rhs, typename Dest>
+typename enable_if<Rhs::ColsAtCompileTime!=1 && Dest::ColsAtCompileTime!=1>::type
+solve_sparse_through_dense_panels(const Decomposition &dec, const Rhs& rhs, Dest &dest)
+{
+ EIGEN_STATIC_ASSERT((Dest::Flags&RowMajorBit)==0,THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES);
+ typedef typename Dest::Scalar DestScalar;
+ // we process the sparse rhs per block of NbColsAtOnce columns temporarily stored into a dense matrix.
+ static const Index NbColsAtOnce = 4;
+ Index rhsCols = rhs.cols();
+ Index size = rhs.rows();
+ // the temporary matrices do not need more columns than NbColsAtOnce:
+ Index tmpCols = (std::min)(rhsCols, NbColsAtOnce);
+ Eigen::Matrix<DestScalar,Dynamic,Dynamic> tmp(size,tmpCols);
+ Eigen::Matrix<DestScalar,Dynamic,Dynamic> tmpX(size,tmpCols);
+ for(Index k=0; k<rhsCols; k+=NbColsAtOnce)
+ {
+ Index actualCols = std::min<Index>(rhsCols-k, NbColsAtOnce);
+ tmp.leftCols(actualCols) = rhs.middleCols(k,actualCols);
+ tmpX.leftCols(actualCols) = dec.solve(tmp.leftCols(actualCols));
+ dest.middleCols(k,actualCols) = tmpX.leftCols(actualCols).sparseView();
+ }
+}
+
+// Overload for vector as rhs
+template<typename Decomposition, typename Rhs, typename Dest>
+typename enable_if<Rhs::ColsAtCompileTime==1 || Dest::ColsAtCompileTime==1>::type
+solve_sparse_through_dense_panels(const Decomposition &dec, const Rhs& rhs, Dest &dest)
+{
+ typedef typename Dest::Scalar DestScalar;
+ Index size = rhs.rows();
+ Eigen::Matrix<DestScalar,Dynamic,1> rhs_dense(rhs);
+ Eigen::Matrix<DestScalar,Dynamic,1> dest_dense(size);
+ dest_dense = dec.solve(rhs_dense);
+ dest = dest_dense.sparseView();
+}
+
+} // end namespace internal
+
+/** \class SparseSolverBase
+ * \ingroup SparseCore_Module
+ * \brief A base class for sparse solvers
+ *
+ * \tparam Derived the actual type of the solver.
+ *
+ */
+template<typename Derived>
+class SparseSolverBase : internal::noncopyable
+{
+ public:
+
+ /** Default constructor */
+ SparseSolverBase()
+ : m_isInitialized(false)
+ {}
+
+ ~SparseSolverBase()
+ {}
+
+ Derived& derived() { return *static_cast<Derived*>(this); }
+ const Derived& derived() const { return *static_cast<const Derived*>(this); }
+
+ /** \returns an expression of the solution x of \f$ A x = b \f$ using the current decomposition of A.
+ *
+ * \sa compute()
+ */
+ template<typename Rhs>
+ inline const Solve<Derived, Rhs>
+ solve(const MatrixBase<Rhs>& b) const
+ {
+ eigen_assert(m_isInitialized && "Solver is not initialized.");
+ eigen_assert(derived().rows()==b.rows() && "solve(): invalid number of rows of the right hand side matrix b");
+ return Solve<Derived, Rhs>(derived(), b.derived());
+ }
+
+ /** \returns an expression of the solution x of \f$ A x = b \f$ using the current decomposition of A.
+ *
+ * \sa compute()
+ */
+ template<typename Rhs>
+ inline const Solve<Derived, Rhs>
+ solve(const SparseMatrixBase<Rhs>& b) const
+ {
+ eigen_assert(m_isInitialized && "Solver is not initialized.");
+ eigen_assert(derived().rows()==b.rows() && "solve(): invalid number of rows of the right hand side matrix b");
+ return Solve<Derived, Rhs>(derived(), b.derived());
+ }
+
+ #ifndef EIGEN_PARSED_BY_DOXYGEN
+ /** \internal default implementation of solving with a sparse rhs */
+ template<typename Rhs,typename Dest>
+ void _solve_impl(const SparseMatrixBase<Rhs> &b, SparseMatrixBase<Dest> &dest) const
+ {
+ internal::solve_sparse_through_dense_panels(derived(), b.derived(), dest.derived());
+ }
+ #endif // EIGEN_PARSED_BY_DOXYGEN
+
+ protected:
+
+ mutable bool m_isInitialized;
+};
+
+} // end namespace Eigen
+
+#endif // EIGEN_SPARSESOLVERBASE_H