Move old files into the attic
The attic are the place where files which we don't use right now, but which we acknowledge some amount of valuable time has been spent on and which may be usable some day in the future, so we don't have the conscience to right out delete them. These files are not expected to compile, and certainly not to run and produce sensible results, anymore. However, with some work they can possibly be converted into proper unit tests or examples.
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/*
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Copyright 2012 SINTEF ICT, Applied Mathematics.
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Copyright 2012 Statoil ASA.
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This file is part of the Open Porous Media Project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include "config.h"
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#include <cassert>
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#include <cmath>
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#include <cstddef>
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#include <iomanip>
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#include <iostream>
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#include <vector>
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#include <boost/shared_ptr.hpp>
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#include <opm/core/linalg/sparse_sys.h>
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#include <opm/core/linalg/LinearSolverAGMG.hpp>
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namespace {
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std::size_t
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compute_nnz(const std::size_t m)
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{
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assert (m > 0);
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std::size_t nnz = m; // A(i,i)
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nnz += (m > 1) ? 2 : 0; // A(0,1), A(m-1,m-2)
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nnz += (m > 2) ? 2 * (m - 2) : 0; // A(i,i-1), A(i,i+1)
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return nnz;
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}
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boost::shared_ptr<CSRMatrix>
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build_laplace_1d(const std::size_t m)
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{
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assert (m >= 2);
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const std::size_t nnz = compute_nnz(m);
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boost::shared_ptr<CSRMatrix>
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A(csrmatrix_new_known_nnz(m, nnz), csrmatrix_delete);
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A->ia[ 0 ] = 0;
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// First row
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A->ia[ 0 + 1 ] = A->ia[ 0 ];
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A->ja[ A->ia[0 + 1] ] = 0 + 0;
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A->sa[ A->ia[0 + 1] ++ ] = 2.0;
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A->ja[ A->ia[0 + 1] ] = 0 + 1;
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A->sa[ A->ia[0 + 1] ++ ] = - 1.0;
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// General rows
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for (std::size_t i = 1; i < m - 1; ++i) {
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A->ia[i + 1] = A->ia[i];
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A->ja[ A->ia[i + 1] ] = int(i) - 1;
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A->sa[ A->ia[i + 1] ++ ] = - 1.0;
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A->ja[ A->ia[i + 1] ] = int(i) ;
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A->sa[ A->ia[i + 1] ++ ] = 2.0;
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A->ja[ A->ia[i + 1] ] = int(i) + 1;
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A->sa[ A->ia[i + 1] ++ ] = - 1.0;
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}
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// Last row
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A->ia[ (m - 1) + 1 ] = A->ia[ m - 1 ];
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A->ja[ A->ia[ (m - 1) + 1 ] ] = int(m - 1) - 1;
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A->sa[ A->ia[ (m - 1) + 1 ] ++ ] = - 1.0;
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A->ja[ A->ia[ (m - 1) + 1 ] ] = int(m - 1) ;
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A->sa[ A->ia[ (m - 1) + 1 ] ++ ] = 2.0;
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return A;
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}
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}
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int main()
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{
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const std::size_t m = 10;
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boost::shared_ptr<CSRMatrix> A = build_laplace_1d(m);
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// Form right-hand side [1, 0, 0, ...., 0, 1]
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std::vector<double> b(m, 0.0);
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b[0] = 1.0; b.back() = 1.0;
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// Allocate solution vector
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std::vector<double> x(m);
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// Create solver for SPD system.
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Opm::LinearSolverAGMG linsolve(100, 1e-9, true);
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linsolve.solve(A.get(), & b[0], & x[0]);
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double e = 0.0;
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for (std::size_t i = 0; i < m; ++i) {
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const double d = x[i] - 1.0;
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e += d * d;
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}
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std::cerr << "|| e ||_2 = "
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<< std::scientific
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<< std::setprecision(5)
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<< std::sqrt(e) / double(m) << '\n';
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return 0;
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}
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