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				| #include "gtest/gtest.h" | |
| #include "storm-config.h" | |
|  | |
| #include "src/solver/EigenLinearEquationSolver.h" | |
| #include "src/settings/SettingsManager.h" | |
|  | |
| #include "src/utility/constants.h" | |
| #include "src/settings/modules/EigenEquationSolverSettings.h" | |
|  | |
| TEST(EigenLinearEquationSolver, SolveWithStandardOptions) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     ASSERT_NO_THROW(storm::solver::EigenLinearEquationSolver<double> solver(A)); | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, SparseLU) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::SparseLU); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::None); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| #ifdef STORM_HAVE_CARL | |
| TEST(EigenLinearEquationSolver, SparseLU_RationalNumber) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<storm::RationalNumber> builder); | |
|     storm::storage::SparseMatrixBuilder<storm::RationalNumber> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<storm::RationalNumber> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<storm::RationalNumber> x(3); | |
|     std::vector<storm::RationalNumber> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<storm::RationalNumber> solver(A); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_TRUE(storm::utility::isOne(x[0])); | |
|     ASSERT_TRUE(x[1] == 3); | |
|     ASSERT_TRUE(x[2] == -1); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, SparseLU_RationalFunction) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<storm::RationalFunction> builder); | |
|     storm::storage::SparseMatrixBuilder<storm::RationalFunction> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, storm::RationalFunction(2))); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, storm::RationalFunction(4))); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, storm::RationalFunction(-2))); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, storm::RationalFunction(4))); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, storm::RationalFunction(-1))); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, storm::RationalFunction(5))); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, storm::RationalFunction(-1))); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, storm::RationalFunction(-1))); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, storm::RationalFunction(3))); | |
|      | |
|     storm::storage::SparseMatrix<storm::RationalFunction> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<storm::RationalFunction> x(3); | |
|     std::vector<storm::RationalFunction> b = {storm::RationalFunction(16), storm::RationalFunction(-4), storm::RationalFunction(-7)}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<storm::RationalFunction> solver(A); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_TRUE(storm::utility::isOne(x[0])); | |
|     ASSERT_TRUE(x[1] == storm::RationalFunction(3)); | |
|     ASSERT_TRUE(x[2] == storm::RationalFunction(-1)); | |
| } | |
| #endif | |
|  | |
| TEST(EigenLinearEquationSolver, DGMRES) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::DGMRES); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::None); | |
|     solver.getSettings().setNumberOfIterationsUntilRestart(50); | |
|      | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, DGMRES_Ilu) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::DGMRES); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::Ilu); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, DGMRES_Diagonal) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::DGMRES); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::Diagonal); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, GMRES) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::GMRES); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::None); | |
|     solver.getSettings().setNumberOfIterationsUntilRestart(50); | |
|      | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, GMRES_Ilu) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::GMRES); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::Ilu); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, GMRES_Diagonal) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::GMRES); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::Diagonal); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, BiCGSTAB) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::BiCGSTAB); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::None); | |
| 
 | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, BiCGSTAB_Ilu) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::BiCGSTAB); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::Ilu); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, BiCGSTAB_Diagonal) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 0, 2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 2, -2)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 0, 4)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 0, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 1, -1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 2, 3)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(3); | |
|     std::vector<double> b = {16, -4, -7}; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings<double>::SolutionMethod::BiCGSTAB); | |
|     solver.getSettings().setPrecision(1e-6); | |
|     solver.getSettings().setMaximalNumberOfIterations(10000); | |
|     solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings<double>::Preconditioner::Diagonal); | |
|     ASSERT_NO_THROW(solver.solveEquations(x, b)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
|     ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| } | |
| 
 | |
| TEST(EigenLinearEquationSolver, MatrixVectorMultiplication) { | |
|     ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder); | |
|     storm::storage::SparseMatrixBuilder<double> builder; | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 1, 0.5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(0, 4, 0.5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 2, 0.5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(1, 4, 0.5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 3, 0.5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(2, 4, 0.5)); | |
|     ASSERT_NO_THROW(builder.addNextValue(3, 4, 1)); | |
|     ASSERT_NO_THROW(builder.addNextValue(4, 4, 1)); | |
|      | |
|     storm::storage::SparseMatrix<double> A; | |
|     ASSERT_NO_THROW(A = builder.build()); | |
|      | |
|     std::vector<double> x(5); | |
|     x[4] = 1; | |
|      | |
|     storm::solver::EigenLinearEquationSolver<double> solver(A); | |
|     ASSERT_NO_THROW(solver.repeatedMultiply(x, nullptr, 4)); | |
|     ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule<storm::settings::modules::EigenEquationSolverSettings>().getPrecision()); | |
| }
 |