You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
226 lines
12 KiB
226 lines
12 KiB
#include "gtest/gtest.h"
|
|
#include "storm-config.h"
|
|
|
|
#include "src/solver/GmmxxLinearEquationSolver.h"
|
|
#include "src/settings/SettingsManager.h"
|
|
|
|
#include "src/settings/modules/GmmxxEquationSolverSettings.h"
|
|
|
|
TEST(GmmxxLinearEquationSolver, 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::GmmxxLinearEquationSolver<double> solver(A));
|
|
|
|
storm::solver::GmmxxLinearEquationSolver<double> solver(A);
|
|
ASSERT_NO_THROW(solver.solveEquationSystem(x, b));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[1] - 3), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|
|
|
|
TEST(GmmxxLinearEquationSolver, 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};
|
|
|
|
ASSERT_NO_THROW(storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Gmres, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None, true, 50));
|
|
|
|
storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Gmres, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None, true, 50);
|
|
ASSERT_NO_THROW(solver.solveEquationSystem(x, b));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[1] - 3), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|
|
|
|
TEST(GmmxxLinearEquationSolver, qmr) {
|
|
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::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Qmr, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None));
|
|
|
|
storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Qmr, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None, true, 50);
|
|
ASSERT_NO_THROW(solver.solveEquationSystem(x, b));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[1] - 3), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|
|
|
|
TEST(GmmxxLinearEquationSolver, 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};
|
|
|
|
ASSERT_NO_THROW(storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Bicgstab, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None));
|
|
|
|
storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Bicgstab, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None);
|
|
ASSERT_NO_THROW(solver.solveEquationSystem(x, b));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[1] - 3), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|
|
|
|
TEST(GmmxxLinearEquationSolver, jacobi) {
|
|
ASSERT_NO_THROW(storm::storage::SparseMatrixBuilder<double> builder);
|
|
storm::storage::SparseMatrixBuilder<double> builder;
|
|
ASSERT_NO_THROW(builder.addNextValue(0, 0, 4));
|
|
ASSERT_NO_THROW(builder.addNextValue(0, 1, 2));
|
|
ASSERT_NO_THROW(builder.addNextValue(0, 2, -1));
|
|
ASSERT_NO_THROW(builder.addNextValue(1, 0, 1));
|
|
ASSERT_NO_THROW(builder.addNextValue(1, 1, -5));
|
|
ASSERT_NO_THROW(builder.addNextValue(1, 2, 2));
|
|
ASSERT_NO_THROW(builder.addNextValue(2, 0, -1));
|
|
ASSERT_NO_THROW(builder.addNextValue(2, 1, 2));
|
|
ASSERT_NO_THROW(builder.addNextValue(2, 2, 4));
|
|
|
|
storm::storage::SparseMatrix<double> A;
|
|
ASSERT_NO_THROW(A = builder.build());
|
|
|
|
std::vector<double> x(3);
|
|
std::vector<double> b = {11, -16, 1};
|
|
|
|
ASSERT_NO_THROW(storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Jacobi, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None));
|
|
|
|
storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Jacobi, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None);
|
|
ASSERT_NO_THROW(solver.solveEquationSystem(x, b));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[1] - 3), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|
|
|
|
TEST(GmmxxLinearEquationSolver, gmresilu) {
|
|
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::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Gmres, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::Ilu, true, 50));
|
|
|
|
storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Gmres, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None, true, 50);
|
|
ASSERT_NO_THROW(solver.solveEquationSystem(x, b));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[1] - 3), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|
|
|
|
TEST(GmmxxLinearEquationSolver, gmresdiag) {
|
|
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::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Gmres, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::Diagonal, true, 50));
|
|
|
|
storm::solver::GmmxxLinearEquationSolver<double> solver(A, storm::solver::GmmxxLinearEquationSolver<double>::SolutionMethod::Gmres, 1e-6, 10000, storm::solver::GmmxxLinearEquationSolver<double>::Preconditioner::None, true, 50);
|
|
ASSERT_NO_THROW(solver.solveEquationSystem(x, b));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[1] - 3), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
ASSERT_LT(std::abs(x[2] - (-1)), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|
|
|
|
TEST(GmmxxLinearEquationSolver, MatrixVectorMultplication) {
|
|
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::GmmxxLinearEquationSolver<double> solver(A);
|
|
ASSERT_NO_THROW(solver.performMatrixVectorMultiplication(x, nullptr, 4));
|
|
ASSERT_LT(std::abs(x[0] - 1), storm::settings::gmmxxEquationSolverSettings().getPrecision());
|
|
}
|