884c5ab027
this is required for consistency amongst the compile units which are linked into the same library and seems to be forgotten quite frequently.
128 lines
3.3 KiB
C++
128 lines
3.3 KiB
C++
/*
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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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Opm::LinearSolverInterface::LinearSolverReport
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rpt = 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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