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.
		
		
		
		
		
			
		
			
				
					
					
						
							415 lines
						
					
					
						
							22 KiB
						
					
					
				
			
		
		
		
			
			
			
				
					
				
				
					
				
			
		
		
	
	
							415 lines
						
					
					
						
							22 KiB
						
					
					
				
								#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());
							 | 
						|
								}
							 | 
						|
								
							 | 
						|
								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));
							 | 
						|
								}
							 | 
						|
								
							 | 
						|
								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());
							 | 
						|
								}
							 |