#include "gtest/gtest.h" #include "storm-config.h" #include "src/solver/GmmxxMinMaxLinearEquationSolver.h" #include "src/settings/SettingsManager.h" #include "src/settings/modules/GmmxxEquationSolverSettings.h" #include "src/storage/SparseMatrix.h" TEST(GmmxxMinMaxLinearEquationSolver, SolveWithStandardOptions) { storm::storage::SparseMatrixBuilder builder(0, 0, 0, false, true); ASSERT_NO_THROW(builder.newRowGroup(0)); ASSERT_NO_THROW(builder.addNextValue(0, 0, 0.9)); storm::storage::SparseMatrix A; ASSERT_NO_THROW(A = builder.build(2)); std::vector x(1); std::vector b = {0.099, 0.5}; storm::solver::GmmxxMinMaxLinearEquationSolver solver(A); ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Minimize, x, b)); ASSERT_LT(std::abs(x[0] - 0.5), storm::settings::gmmxxEquationSolverSettings().getPrecision()); ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Maximize, x, b)); ASSERT_LT(std::abs(x[0] - 0.989991), storm::settings::gmmxxEquationSolverSettings().getPrecision()); } // TODO add better tests here. TEST(GmmxxMinMaxLinearEquationSolver, SolveWithStandardOptionsAndEarlyTermination) { storm::storage::SparseMatrixBuilder builder(0, 0, 0, false, true); ASSERT_NO_THROW(builder.newRowGroup(0)); ASSERT_NO_THROW(builder.addNextValue(0, 0, 0.9)); storm::storage::SparseMatrix A; ASSERT_NO_THROW(A = builder.build(2)); std::vector x(1); std::vector b = {0.099, 0.5}; double bound = 0.8; storm::solver::GmmxxMinMaxLinearEquationSolver solver(A); solver.setEarlyTerminationCriterion(std::make_unique>(storm::storage::BitVector(1, true), bound, true)); ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Minimize, x, b)); ASSERT_LT(std::abs(x[0] - 0.5), storm::settings::gmmxxEquationSolverSettings().getPrecision()); ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Maximize, x, b)); ASSERT_LT(std::abs(x[0] - 0.989991), 0.989991 - bound - storm::settings::gmmxxEquationSolverSettings().getPrecision()); bound = 0.6; solver.setEarlyTerminationCriterion(std::make_unique>(storm::storage::BitVector(1, true), bound, true)); ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Maximize, x, b)); ASSERT_LT(std::abs(x[0] - 0.989991), 0.989991 - bound - storm::settings::gmmxxEquationSolverSettings().getPrecision()); } TEST(GmmxxMinMaxLinearEquationSolver, MatrixVectorMultiplication) { storm::storage::SparseMatrixBuilder builder(0, 0, 0, false, true); ASSERT_NO_THROW(builder.newRowGroup(0)); ASSERT_NO_THROW(builder.addNextValue(0, 0, 0.9)); ASSERT_NO_THROW(builder.addNextValue(0, 1, 0.099)); ASSERT_NO_THROW(builder.addNextValue(0, 2, 0.001)); ASSERT_NO_THROW(builder.addNextValue(1, 1, 0.5)); ASSERT_NO_THROW(builder.addNextValue(1, 2, 0.5)); ASSERT_NO_THROW(builder.newRowGroup(2)); ASSERT_NO_THROW(builder.addNextValue(2, 1, 1)); ASSERT_NO_THROW(builder.newRowGroup(3)); ASSERT_NO_THROW(builder.addNextValue(3, 2, 1)); storm::storage::SparseMatrix A; ASSERT_NO_THROW(A = builder.build()); std::vector x = {0, 1, 0}; ASSERT_NO_THROW(storm::solver::GmmxxMinMaxLinearEquationSolver solver(A)); storm::solver::GmmxxMinMaxLinearEquationSolver solver(A); ASSERT_NO_THROW(solver.performMatrixVectorMultiplication(storm::OptimizationDirection::Minimize, x, nullptr, 1)); ASSERT_LT(std::abs(x[0] - 0.099), storm::settings::gmmxxEquationSolverSettings().getPrecision()); x = {0, 1, 0}; ASSERT_NO_THROW(solver.performMatrixVectorMultiplication(storm::OptimizationDirection::Minimize, x, nullptr, 2)); ASSERT_LT(std::abs(x[0] - 0.1881), storm::settings::gmmxxEquationSolverSettings().getPrecision()); x = {0, 1, 0}; ASSERT_NO_THROW(solver.performMatrixVectorMultiplication(storm::OptimizationDirection::Minimize, x, nullptr, 20)); ASSERT_LT(std::abs(x[0] - 0.5), storm::settings::gmmxxEquationSolverSettings().getPrecision()); x = {0, 1, 0}; ASSERT_NO_THROW(solver.performMatrixVectorMultiplication(storm::OptimizationDirection::Maximize, x, nullptr, 1)); ASSERT_LT(std::abs(x[0] - 0.5), storm::settings::gmmxxEquationSolverSettings().getPrecision()); x = {0, 1, 0}; ASSERT_NO_THROW(solver.performMatrixVectorMultiplication(storm::OptimizationDirection::Maximize, x, nullptr, 20)); ASSERT_LT(std::abs(x[0] - 0.9238082658), storm::settings::gmmxxEquationSolverSettings().getPrecision()); } TEST(GmmxxMinMaxLinearEquationSolver, SolveWithPolicyIteration) { storm::storage::SparseMatrixBuilder builder(0, 0, 0, false, true); ASSERT_NO_THROW(builder.newRowGroup(0)); ASSERT_NO_THROW(builder.addNextValue(0, 0, 0.9)); storm::storage::SparseMatrix A; ASSERT_NO_THROW(A = builder.build(2)); std::vector x(1); std::vector b = { 0.099, 0.5 }; storm::settings::modules::GmmxxEquationSolverSettings const& settings = storm::settings::gmmxxEquationSolverSettings(); storm::solver::GmmxxMinMaxLinearEquationSolver solver(A, settings.getPrecision(), settings.getMaximalIterationCount(), storm::solver::MinMaxTechniqueSelection::PolicyIteration, settings.getConvergenceCriterion() == storm::settings::modules::GmmxxEquationSolverSettings::ConvergenceCriterion::Relative); ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Minimize, x, b)); ASSERT_LT(std::abs(x[0] - 0.5), storm::settings::gmmxxEquationSolverSettings().getPrecision()); ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Maximize, x, b)); ASSERT_LT(std::abs(x[0] - 0.99), storm::settings::gmmxxEquationSolverSettings().getPrecision()); }