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+/*
+ * LinearSystem class wraps some gsl routines for solving linear systems
+ *
+ * Authors:
+ * Marco Cecchetti <mrcekets at gmail.com>
+ *
+ * Copyright 2008 authors
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it either under the terms of the GNU Lesser General Public
+ * License version 2.1 as published by the Free Software Foundation
+ * (the "LGPL") or, at your option, under the terms of the Mozilla
+ * Public License Version 1.1 (the "MPL"). If you do not alter this
+ * notice, a recipient may use your version of this file under either
+ * the MPL or the LGPL.
+ *
+ * You should have received a copy of the LGPL along with this library
+ * in the file COPYING-LGPL-2.1; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * You should have received a copy of the MPL along with this library
+ * in the file COPYING-MPL-1.1
+ *
+ * The contents of this file are subject to the Mozilla Public License
+ * Version 1.1 (the "License"); you may not use this file except in
+ * compliance with the License. You may obtain a copy of the License at
+ * http://www.mozilla.org/MPL/
+ *
+ * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
+ * OF ANY KIND, either express or implied. See the LGPL or the MPL for
+ * the specific language governing rights and limitations.
+ */
+
+
+#ifndef _NL_LINEAR_SYSTEM_H_
+#define _NL_LINEAR_SYSTEM_H_
+
+
+#include <cassert>
+
+#include <gsl/gsl_linalg.h>
+
+#include <2geom/numeric/matrix.h>
+#include <2geom/numeric/vector.h>
+
+
+namespace Geom { namespace NL {
+
+
+class LinearSystem
+{
+public:
+ LinearSystem(MatrixView & _matrix, VectorView & _vector)
+ : m_matrix(_matrix), m_vector(_vector), m_solution(_matrix.columns())
+ {
+ }
+
+ LinearSystem(Matrix & _matrix, Vector & _vector)
+ : m_matrix(_matrix), m_vector(_vector), m_solution(_matrix.columns())
+ {
+ }
+
+ const Vector & LU_solve()
+ {
+ assert( matrix().rows() == matrix().columns()
+ && matrix().rows() == vector().size() );
+ int s;
+ gsl_permutation * p = gsl_permutation_alloc(matrix().rows());
+ gsl_linalg_LU_decomp (matrix().get_gsl_matrix(), p, &s);
+ gsl_linalg_LU_solve( matrix().get_gsl_matrix(),
+ p,
+ vector().get_gsl_vector(),
+ m_solution.get_gsl_vector()
+ );
+ gsl_permutation_free(p);
+ return solution();
+ }
+
+ const Vector & SV_solve()
+ {
+ assert( matrix().rows() >= matrix().columns()
+ && matrix().rows() == vector().size() );
+
+ gsl_matrix* U = matrix().get_gsl_matrix();
+ gsl_matrix* V = gsl_matrix_alloc(matrix().columns(), matrix().columns());
+ gsl_vector* S = gsl_vector_alloc(matrix().columns());
+ gsl_vector* work = gsl_vector_alloc(matrix().columns());
+
+ gsl_linalg_SV_decomp( U, V, S, work );
+
+ gsl_vector* b = vector().get_gsl_vector();
+ gsl_vector* x = m_solution.get_gsl_vector();
+
+ gsl_linalg_SV_solve( U, V, S, b, x);
+
+ gsl_matrix_free(V);
+ gsl_vector_free(S);
+ gsl_vector_free(work);
+
+ return solution();
+ }
+
+ MatrixView & matrix()
+ {
+ return m_matrix;
+ }
+
+ VectorView & vector()
+ {
+ return m_vector;
+ }
+
+ const Vector & solution() const
+ {
+ return m_solution;
+ }
+
+private:
+ MatrixView m_matrix;
+ VectorView m_vector;
+ Vector m_solution;
+};
+
+
+} } // end namespaces
+
+
+#endif /*_NL_LINEAR_SYSTEM_H_*/
+
+/*
+ Local Variables:
+ mode:c++
+ c-file-style:"stroustrup"
+ c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
+ indent-tabs-mode:nil
+ fill-column:99
+ End:
+*/
+// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 :