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#include "gtest/gtest.h"
#include "storm-config.h"
#include "src/solver/NativeMinMaxLinearEquationSolver.h"
#include "src/settings/SettingsManager.h"
#include "src/settings/modules/NativeEquationSolverSettings.h"
#include "src/storage/SparseMatrix.h"
TEST(NativeMinMaxLinearEquationSolver, SolveWithStandardOptions) {
storm::storage::SparseMatrixBuilder<double> builder(0, 0, 0, false, true);
ASSERT_NO_THROW(builder.newRowGroup(0));
ASSERT_NO_THROW(builder.addNextValue(0, 0, 0.9));
storm::storage::SparseMatrix<double> A;
ASSERT_NO_THROW(A = builder.build(2));
std::vector<double> x(1);
std::vector<double> b = {0.099, 0.5};
storm::solver::NativeMinMaxLinearEquationSolver<double> solver(A);
ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Minimize, x, b));
ASSERT_LT(std::abs(x[0] - 0.5), storm::settings::nativeEquationSolverSettings().getPrecision());
ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Maximize, x, b));
ASSERT_LT(std::abs(x[0] - 0.989991), storm::settings::nativeEquationSolverSettings().getPrecision());
}
TEST(NativeMinMaxLinearEquationSolver, MatrixVectorMultiplication) {
storm::storage::SparseMatrixBuilder<double> 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<double> A;
ASSERT_NO_THROW(A = builder.build());
std::vector<double> x = {0, 1, 0};
ASSERT_NO_THROW(storm::solver::NativeMinMaxLinearEquationSolver<double> solver(A));
storm::solver::NativeMinMaxLinearEquationSolver<double> solver(A);
ASSERT_NO_THROW(solver.performMatrixVectorMultiplication(storm::OptimizationDirection::Minimize, x, nullptr, 1));
ASSERT_LT(std::abs(x[0] - 0.099), storm::settings::nativeEquationSolverSettings().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::nativeEquationSolverSettings().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::nativeEquationSolverSettings().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::nativeEquationSolverSettings().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::nativeEquationSolverSettings().getPrecision());
}
TEST(NativeMinMaxLinearEquationSolver, SolveWithPolicyIteration) {
storm::storage::SparseMatrixBuilder<double> builder(0, 0, 0, false, true);
ASSERT_NO_THROW(builder.newRowGroup(0));
ASSERT_NO_THROW(builder.addNextValue(0, 0, 0.9));
storm::storage::SparseMatrix<double> A;
ASSERT_NO_THROW(A = builder.build(2));
std::vector<double> x(1);
std::vector<double> b = { 0.099, 0.5 };
storm::settings::modules::NativeEquationSolverSettings const& settings = storm::settings::nativeEquationSolverSettings();
storm::solver::NativeMinMaxLinearEquationSolver<double> solver(A, settings.getPrecision(), settings.getMaximalIterationCount(), storm::solver::MinMaxTechniqueSelection::PolicyIteration, settings.getConvergenceCriterion() == storm::settings::modules::NativeEquationSolverSettings::ConvergenceCriterion::Relative);
ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Minimize, x, b));
ASSERT_LT(std::abs(x[0] - 0.5), storm::settings::nativeEquationSolverSettings().getPrecision());
ASSERT_NO_THROW(solver.solveEquationSystem(storm::OptimizationDirection::Maximize, x, b));
ASSERT_LT(std::abs(x[0] - 0.99), storm::settings::nativeEquationSolverSettings().getPrecision());
}