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251 lines
13 KiB
251 lines
13 KiB
#include "gtest/gtest.h"
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#include "storm-config.h"
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#include "src/solver/GmmxxLinearEquationSolver.h"
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#include "src/settings/SettingsManager.h"
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#include "src/settings/modules/GmmxxEquationSolverSettings.h"
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TEST(GmmxxLinearEquationSolver, SolveWithStandardOptions) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 0, 2));
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 4));
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ASSERT_NO_THROW(builder.addNextValue(0, 2, -2));
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ASSERT_NO_THROW(builder.addNextValue(1, 0, 4));
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ASSERT_NO_THROW(builder.addNextValue(1, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 5));
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ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 2, 3));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(3);
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std::vector<double> b = {16, -4, -7};
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ASSERT_NO_THROW(storm::solver::GmmxxLinearEquationSolver<double> solver(A));
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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ASSERT_NO_THROW(solver.solveEquations(x, b));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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TEST(GmmxxLinearEquationSolver, gmres) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 0, 2));
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 4));
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ASSERT_NO_THROW(builder.addNextValue(0, 2, -2));
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ASSERT_NO_THROW(builder.addNextValue(1, 0, 4));
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ASSERT_NO_THROW(builder.addNextValue(1, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 5));
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ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 2, 3));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(3);
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std::vector<double> b = {16, -4, -7};
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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solver.getSettings().setSolutionMethod(storm::solver::GmmxxLinearEquationSolverSettings<double>::SolutionMethod::Gmres);
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solver.getSettings().setPrecision(1e-6);
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solver.getSettings().setMaximalNumberOfIterations(10000);
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solver.getSettings().setPreconditioner(storm::solver::GmmxxLinearEquationSolverSettings<double>::Preconditioner::None);
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solver.getSettings().setNumberOfIterationsUntilRestart(50);
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ASSERT_NO_THROW(solver.solveEquations(x, b));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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TEST(GmmxxLinearEquationSolver, qmr) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 0, 2));
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 4));
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ASSERT_NO_THROW(builder.addNextValue(0, 2, -2));
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ASSERT_NO_THROW(builder.addNextValue(1, 0, 4));
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ASSERT_NO_THROW(builder.addNextValue(1, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 5));
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ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 2, 3));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(3);
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std::vector<double> b = {16, -4, -7};
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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solver.getSettings().setSolutionMethod(storm::solver::GmmxxLinearEquationSolverSettings<double>::SolutionMethod::Qmr);
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solver.getSettings().setPrecision(1e-6);
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solver.getSettings().setMaximalNumberOfIterations(10000);
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solver.getSettings().setPreconditioner(storm::solver::GmmxxLinearEquationSolverSettings<double>::Preconditioner::None);
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storm::solver::GmmxxLinearEquationSolver<double> solver2(A);
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solver2.getSettings().setSolutionMethod(storm::solver::GmmxxLinearEquationSolverSettings<double>::SolutionMethod::Qmr);
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solver2.getSettings().setPrecision(1e-6);
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solver2.getSettings().setMaximalNumberOfIterations(10000);
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solver2.getSettings().setPreconditioner(storm::solver::GmmxxLinearEquationSolverSettings<double>::Preconditioner::None);
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ASSERT_NO_THROW(solver2.solveEquations(x, b));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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TEST(GmmxxLinearEquationSolver, bicgstab) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 0, 2));
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 4));
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ASSERT_NO_THROW(builder.addNextValue(0, 2, -2));
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ASSERT_NO_THROW(builder.addNextValue(1, 0, 4));
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ASSERT_NO_THROW(builder.addNextValue(1, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 5));
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ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 2, 3));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(3);
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std::vector<double> b = {16, -4, -7};
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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solver.getSettings().setSolutionMethod(storm::solver::GmmxxLinearEquationSolverSettings<double>::SolutionMethod::Bicgstab);
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solver.getSettings().setPrecision(1e-6);
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solver.getSettings().setMaximalNumberOfIterations(10000);
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solver.getSettings().setPreconditioner(storm::solver::GmmxxLinearEquationSolverSettings<double>::Preconditioner::None);
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ASSERT_NO_THROW(solver.solveEquations(x, b));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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TEST(GmmxxLinearEquationSolver, jacobi) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 0, 4));
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 2));
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ASSERT_NO_THROW(builder.addNextValue(0, 2, -1));
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ASSERT_NO_THROW(builder.addNextValue(1, 0, 1));
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ASSERT_NO_THROW(builder.addNextValue(1, 1, -5));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 2));
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ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 1, 2));
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ASSERT_NO_THROW(builder.addNextValue(2, 2, 4));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(3);
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std::vector<double> b = {11, -16, 1};
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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solver.getSettings().setSolutionMethod(storm::solver::GmmxxLinearEquationSolverSettings<double>::SolutionMethod::Jacobi);
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solver.getSettings().setPrecision(1e-6);
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solver.getSettings().setMaximalNumberOfIterations(10000);
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solver.getSettings().setPreconditioner(storm::solver::GmmxxLinearEquationSolverSettings<double>::Preconditioner::None);
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ASSERT_NO_THROW(solver.solveEquations(x, b));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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TEST(GmmxxLinearEquationSolver, gmresilu) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 0, 2));
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 4));
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ASSERT_NO_THROW(builder.addNextValue(0, 2, -2));
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ASSERT_NO_THROW(builder.addNextValue(1, 0, 4));
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ASSERT_NO_THROW(builder.addNextValue(1, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 5));
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ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 2, 3));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(3);
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std::vector<double> b = {16, -4, -7};
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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solver.getSettings().setSolutionMethod(storm::solver::GmmxxLinearEquationSolverSettings<double>::SolutionMethod::Gmres);
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solver.getSettings().setPrecision(1e-6);
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solver.getSettings().setMaximalNumberOfIterations(10000);
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solver.getSettings().setPreconditioner(storm::solver::GmmxxLinearEquationSolverSettings<double>::Preconditioner::Ilu);
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solver.getSettings().setNumberOfIterationsUntilRestart(50);
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ASSERT_NO_THROW(solver.solveEquations(x, b));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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TEST(GmmxxLinearEquationSolver, gmresdiag) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 0, 2));
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 4));
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ASSERT_NO_THROW(builder.addNextValue(0, 2, -2));
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ASSERT_NO_THROW(builder.addNextValue(1, 0, 4));
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ASSERT_NO_THROW(builder.addNextValue(1, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 5));
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ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 1, -1));
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ASSERT_NO_THROW(builder.addNextValue(2, 2, 3));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(3);
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std::vector<double> b = {16, -4, -7};
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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solver.getSettings().setSolutionMethod(storm::solver::GmmxxLinearEquationSolverSettings<double>::SolutionMethod::Gmres);
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solver.getSettings().setPrecision(1e-6);
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solver.getSettings().setMaximalNumberOfIterations(10000);
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solver.getSettings().setPreconditioner(storm::solver::GmmxxLinearEquationSolverSettings<double>::Preconditioner::Diagonal);
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solver.getSettings().setNumberOfIterationsUntilRestart(50);
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ASSERT_NO_THROW(solver.solveEquations(x, b));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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TEST(GmmxxLinearEquationSolver, MatrixVectorMultiplication) {
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ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
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storm::storage::SparseMatrixBuilder<double> builder;
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ASSERT_NO_THROW(builder.addNextValue(0, 1, 0.5));
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ASSERT_NO_THROW(builder.addNextValue(0, 4, 0.5));
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ASSERT_NO_THROW(builder.addNextValue(1, 2, 0.5));
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ASSERT_NO_THROW(builder.addNextValue(1, 4, 0.5));
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ASSERT_NO_THROW(builder.addNextValue(2, 3, 0.5));
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ASSERT_NO_THROW(builder.addNextValue(2, 4, 0.5));
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ASSERT_NO_THROW(builder.addNextValue(3, 4, 1));
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ASSERT_NO_THROW(builder.addNextValue(4, 4, 1));
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storm::storage::SparseMatrix<double> A;
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ASSERT_NO_THROW(A = builder.build());
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std::vector<double> x(5);
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x[4] = 1;
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storm::solver::GmmxxLinearEquationSolver<double> solver(A);
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ASSERT_NO_THROW(solver.repeatedMultiply(x, nullptr, 4));
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ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::GmmxxEquationSolverSettings>().getPrecision());
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}
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