#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 builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; ASSERT_NO_THROW(storm::solver::EigenLinearEquationSolver solver(A)); storm::solver::EigenLinearEquationSolver solver(A); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, SparseLU) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::SparseLU); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::None); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } #ifdef STORM_HAVE_CARL TEST(EigenLinearEquationSolver, SparseLU_RationalNumber) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver 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 builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {storm::RationalFunction(16), storm::RationalFunction(-4), storm::RationalFunction(-7)}; storm::solver::EigenLinearEquationSolver 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 builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::DGMRES); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::None); solver.getSettings().setNumberOfIterationsUntilRestart(50); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, DGMRES_Ilu) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::DGMRES); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::Ilu); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, DGMRES_Diagonal) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::DGMRES); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::Diagonal); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, GMRES) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::GMRES); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::None); solver.getSettings().setNumberOfIterationsUntilRestart(50); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, GMRES_Ilu) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::GMRES); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::Ilu); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, GMRES_Diagonal) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::GMRES); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::Diagonal); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, BiCGSTAB) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::BiCGSTAB); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::None); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, BiCGSTAB_Ilu) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::BiCGSTAB); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::Ilu); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, BiCGSTAB_Diagonal) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(3); std::vector b = {16, -4, -7}; storm::solver::EigenLinearEquationSolver solver(A); solver.getSettings().setSolutionMethod(storm::solver::EigenLinearEquationSolverSettings::SolutionMethod::BiCGSTAB); solver.getSettings().setPrecision(1e-6); solver.getSettings().setMaximalNumberOfIterations(10000); solver.getSettings().setPreconditioner(storm::solver::EigenLinearEquationSolverSettings::Preconditioner::Diagonal); ASSERT_NO_THROW(solver.solveEquations(x, b)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[1] - 3), storm::settings::getModule().getPrecision()); ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::getModule().getPrecision()); } TEST(EigenLinearEquationSolver, MatrixVectorMultiplication) { ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder builder); storm::storage::SparseMatrixBuilder 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 A; ASSERT_NO_THROW(A = builder.build()); std::vector x(5); x[4] = 1; storm::solver::EigenLinearEquationSolver solver(A); ASSERT_NO_THROW(solver.repeatedMultiply(x, nullptr, 4)); ASSERT_LT(std::abs(x[0] - 1), storm::settings::getModule().getPrecision()); }