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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());
}