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authorGravatar Gael Guennebaud <g.gael@free.fr>2011-11-12 14:11:27 +0100
committerGravatar Gael Guennebaud <g.gael@free.fr>2011-11-12 14:11:27 +0100
commit53fa8517245e0136c83b77526b05ce67de232a56 (patch)
tree99dd17062c742eabfc3626a04c38fd6f72e43bc4 /Eigen/src/IterativeLinearSolvers/IterativeSolverBase.h
parentdcb66d6b403ed2c4341fdb091f2ef22b73ea8b8a (diff)
move sparse solvers from unsupported/ to main Eigen/ and remove the "not stable yet" warning
Diffstat (limited to 'Eigen/src/IterativeLinearSolvers/IterativeSolverBase.h')
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1 files changed, 225 insertions, 0 deletions
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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2011 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, you can redistribute it and/or
+// modify it under the terms of the GNU General Public License as
+// published by the Free Software Foundation; either version 2 of
+// the License, or (at your option) any later version.
+//
+// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
+// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#ifndef EIGEN_ITERATIVE_SOLVER_BASE_H
+#define EIGEN_ITERATIVE_SOLVER_BASE_H
+
+
+/** \brief Base class for linear iterative solvers
+ *
+ * \sa class SimplicialCholesky, DiagonalPreconditioner, IdentityPreconditioner
+ */
+template< typename Derived>
+class IterativeSolverBase
+{
+public:
+ typedef typename internal::traits<Derived>::MatrixType MatrixType;
+ typedef typename internal::traits<Derived>::Preconditioner Preconditioner;
+ typedef typename MatrixType::Scalar Scalar;
+ typedef typename MatrixType::Index Index;
+ typedef typename MatrixType::RealScalar RealScalar;
+
+public:
+
+ Derived& derived() { return *static_cast<Derived*>(this); }
+ const Derived& derived() const { return *static_cast<const Derived*>(this); }
+
+ /** Default constructor. */
+ IterativeSolverBase()
+ : mp_matrix(0)
+ {
+ init();
+ }
+
+ /** Initialize the solver with matrix \a A for further \c Ax=b solving.
+ *
+ * This constructor is a shortcut for the default constructor followed
+ * by a call to compute().
+ *
+ * \warning this class stores a reference to the matrix A as well as some
+ * precomputed values that depend on it. Therefore, if \a A is changed
+ * this class becomes invalid. Call compute() to update it with the new
+ * matrix A, or modify a copy of A.
+ */
+ IterativeSolverBase(const MatrixType& A)
+ {
+ init();
+ compute(A);
+ }
+
+ ~IterativeSolverBase() {}
+
+ /** Initializes the iterative solver with the matrix \a A for further solving \c Ax=b problems.
+ *
+ * Currently, this function mostly initialized/compute the preconditioner. In the future
+ * we might, for instance, implement column reodering for faster matrix vector products.
+ *
+ * \warning this class stores a reference to the matrix A as well as some
+ * precomputed values that depend on it. Therefore, if \a A is changed
+ * this class becomes invalid. Call compute() to update it with the new
+ * matrix A, or modify a copy of A.
+ */
+ Derived& compute(const MatrixType& A)
+ {
+ mp_matrix = &A;
+ m_preconditioner.compute(A);
+ m_isInitialized = true;
+ m_info = Success;
+ return derived();
+ }
+
+ /** \internal */
+ Index rows() const { return mp_matrix->rows(); }
+ /** \internal */
+ Index cols() const { return mp_matrix->cols(); }
+
+ /** \returns the tolerance threshold used by the stopping criteria */
+ RealScalar tolerance() const { return m_tolerance; }
+
+ /** Sets the tolerance threshold used by the stopping criteria */
+ Derived& setTolerance(RealScalar tolerance)
+ {
+ m_tolerance = tolerance;
+ return derived();
+ }
+
+ /** \returns a read-write reference to the preconditioner for custom configuration. */
+ Preconditioner& preconditioner() { return m_preconditioner; }
+
+ /** \returns a read-only reference to the preconditioner. */
+ const Preconditioner& preconditioner() const { return m_preconditioner; }
+
+ /** \returns the max number of iterations */
+ int maxIterations() const { return m_maxIterations; }
+
+ /** Sets the max number of iterations */
+ Derived& setMaxIterations(int maxIters)
+ {
+ m_maxIterations = maxIters;
+ return derived();
+ }
+
+ /** \returns the number of iterations performed during the last solve */
+ int iterations() const
+ {
+ eigen_assert(m_isInitialized && "ConjugateGradient is not initialized.");
+ return m_iterations;
+ }
+
+ /** \returns the tolerance error reached during the last solve */
+ RealScalar error() const
+ {
+ eigen_assert(m_isInitialized && "ConjugateGradient is not initialized.");
+ return m_error;
+ }
+
+ /** \returns the solution x of \f$ A x = b \f$ using the current decomposition of A.
+ *
+ * \sa compute()
+ */
+ template<typename Rhs> inline const internal::solve_retval<Derived, Rhs>
+ solve(const MatrixBase<Rhs>& b) const
+ {
+ eigen_assert(m_isInitialized && "IterativeSolverBase is not initialized.");
+ eigen_assert(rows()==b.rows()
+ && "IterativeSolverBase::solve(): invalid number of rows of the right hand side matrix b");
+ return internal::solve_retval<Derived, Rhs>(derived(), b.derived());
+ }
+
+ /** \returns the solution x of \f$ A x = b \f$ using the current decomposition of A.
+ *
+ * \sa compute()
+ */
+ template<typename Rhs>
+ inline const internal::sparse_solve_retval<IterativeSolverBase, Rhs>
+ solve(const SparseMatrixBase<Rhs>& b) const
+ {
+ eigen_assert(m_isInitialized && "IterativeSolverBase is not initialized.");
+ eigen_assert(rows()==b.rows()
+ && "IterativeSolverBase::solve(): invalid number of rows of the right hand side matrix b");
+ return internal::sparse_solve_retval<IterativeSolverBase, Rhs>(*this, b.derived());
+ }
+
+ /** \returns Success if the iterations converged, and NoConvergence otherwise. */
+ ComputationInfo info() const
+ {
+ eigen_assert(m_isInitialized && "IterativeSolverBase is not initialized.");
+ return m_info;
+ }
+
+ /** \internal */
+ template<typename Rhs, typename DestScalar, int DestOptions, typename DestIndex>
+ void _solve_sparse(const Rhs& b, SparseMatrix<DestScalar,DestOptions,DestIndex> &dest) const
+ {
+ eigen_assert(rows()==b.rows());
+
+ int rhsCols = b.cols();
+ int size = b.rows();
+ Eigen::Matrix<DestScalar,Dynamic,1> tb(size);
+ Eigen::Matrix<DestScalar,Dynamic,1> tx(size);
+ for(int k=0; k<rhsCols; ++k)
+ {
+ tb = b.col(k);
+ tx = derived().solve(tb);
+ dest.col(k) = tx.sparseView(0);
+ }
+ }
+
+protected:
+ void init()
+ {
+ m_isInitialized = false;
+ m_maxIterations = 1000;
+ m_tolerance = NumTraits<Scalar>::epsilon();
+ }
+ const MatrixType* mp_matrix;
+ Preconditioner m_preconditioner;
+
+ int m_maxIterations;
+ RealScalar m_tolerance;
+
+ mutable RealScalar m_error;
+ mutable int m_iterations;
+ mutable ComputationInfo m_info;
+ mutable bool m_isInitialized;
+};
+
+namespace internal {
+
+template<typename Derived, typename Rhs>
+struct sparse_solve_retval<IterativeSolverBase<Derived>, Rhs>
+ : sparse_solve_retval_base<IterativeSolverBase<Derived>, Rhs>
+{
+ typedef IterativeSolverBase<Derived> Dec;
+ EIGEN_MAKE_SPARSE_SOLVE_HELPERS(Dec,Rhs)
+
+ template<typename Dest> void evalTo(Dest& dst) const
+ {
+ dec().derived()._solve_sparse(rhs(),dst);
+ }
+};
+
+}
+
+#endif // EIGEN_ITERATIVE_SOLVER_BASE_H