public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
        {
            var criterium = new IterationCountStopCriterium(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            Assert.Throws<ArgumentOutOfRangeException>(() => criterium.DetermineStatus(-1, new DenseVector(3, 1), new DenseVector(3, 2), new DenseVector(3, 3)));
        }
        public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
        {
            var criterium = new IterationCountStopCriterium(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            Assert.Throws <ArgumentOutOfRangeException>(() => criterium.DetermineStatus(-1, new DenseVector(3, 1), new DenseVector(3, 2), new DenseVector(3, 3)));
        }
        public void DetermineStatusWithIllegalIterationNumber()
        {
            var criterium = new IterationCountStopCriterium(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            criterium.DetermineStatus(-1, new DenseVector(3, 1), new DenseVector(3, 2), new DenseVector(3,3));
            Assert.Fail();
        }
Beispiel #4
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        public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
        {
            var criterium = new IterationCountStopCriterium <double>(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            Assert.That(() => criterium.DetermineStatus(-1, Vector <double> .Build.Dense(3, 1), Vector <double> .Build.Dense(3, 2), Vector <double> .Build.Dense(3, 3)), Throws.TypeOf <ArgumentOutOfRangeException>());
        }
Beispiel #5
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        public void DetermineStatusWithIllegalIterationNumber()
        {
            var criterium = new IterationCountStopCriterium(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            criterium.DetermineStatus(-1, new DenseVector(3, 1), new DenseVector(3, 2), new DenseVector(3, 3));
            Assert.Fail();
        }
        public void ResetMaximumIterations()
        {
            var criterium = new IterationCountStopCriterium(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");
            Assert.AreEqual(10, criterium.MaximumNumberOfIterations, "Incorrect maximum number of iterations");

            criterium.ResetMaximumNumberOfIterationsToDefault();
            Assert.AreNotEqual(10, criterium.MaximumNumberOfIterations, "Should have reset");
            Assert.AreEqual(IterationCountStopCriterium.DefaultMaximumNumberOfIterations, criterium.MaximumNumberOfIterations, "Reset to the wrong value");
        }
        public void ResetCalculationState()
        {
            var criterium = new IterationCountStopCriterium(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            criterium.DetermineStatus(5, new DenseVector(3, 1), new DenseVector(3, 2), new DenseVector(3, 3));
            Assert.IsInstanceOfType(typeof(CalculationRunning), criterium.Status, "Should be running");

            criterium.ResetToPrecalculationState();
            Assert.IsInstanceOfType(typeof(CalculationIndetermined), criterium.Status, "Should not have started");
        }
        public void DetermineStatus()
        {
            var criterium = new IterationCountStopCriterium(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            criterium.DetermineStatus(5, new DenseVector(3, 1), new DenseVector(3, 2), new DenseVector(3, 3));
            Assert.IsInstanceOfType(typeof(CalculationRunning), criterium.Status, "Should be running");

            criterium.DetermineStatus(10, new DenseVector(3, 1), new DenseVector(3, 2), new DenseVector(3, 3));
            Assert.IsInstanceOfType(typeof(CalculationStoppedWithoutConvergence), criterium.Status, "Should be finished");
        }
        public void ResetMaximumIterations()
        {
            var criterium = new IterationCountStopCriterium(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");
            Assert.AreEqual(10, criterium.MaximumNumberOfIterations, "Incorrect maximum number of iterations");

            criterium.ResetMaximumNumberOfIterationsToDefault();
            Assert.AreNotEqual(10, criterium.MaximumNumberOfIterations, "Should have reset");
            Assert.AreEqual(IterationCountStopCriterium.DefaultMaximumNumberOfIterations, criterium.MaximumNumberOfIterations, "Reset to the wrong value");
        }
        public void DetermineStatus()
        {
            var criterium = new IterationCountStopCriterium(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            criterium.DetermineStatus(5, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));
            Assert.IsInstanceOf(typeof(CalculationRunning), criterium.Status, "Should be running");

            criterium.DetermineStatus(10, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));
            Assert.IsInstanceOf(typeof(CalculationStoppedWithoutConvergence), criterium.Status, "Should be finished");
        }
        public void ResetCalculationState()
        {
            var criterium = new IterationCountStopCriterium(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            criterium.DetermineStatus(5, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));
            Assert.IsInstanceOf(typeof(CalculationRunning), criterium.Status, "Should be running");

            criterium.ResetToPrecalculationState();
            Assert.IsInstanceOf(typeof(CalculationIndetermined), criterium.Status, "Should not have started");
        }
        public void ResetCalculationState()
        {
            var criterium = new IterationCountStopCriterium <double>(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));

            Assert.AreEqual(IterationStatus.Running, status, "Should be running");

            criterium.ResetToPrecalculationState();
            Assert.AreEqual(IterationStatus.Indetermined, criterium.Status, "Should not have started");
        }
Beispiel #13
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        public void ResetCalculationState()
        {
            var criterium = new IterationCountStopCriterium <Complex>(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, Vector <Complex> .Build.Dense(3, 1), Vector <Complex> .Build.Dense(3, 2), Vector <Complex> .Build.Dense(3, 3));

            Assert.AreEqual(IterationStatus.Continue, status, "Should be running");

            criterium.Reset();
            Assert.AreEqual(IterationStatus.Continue, criterium.Status, "Should not have started");
        }
Beispiel #14
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        public void DetermineStatus()
        {
            var criterium = new IterationCountStopCriterium <Complex>(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, Vector <Complex> .Build.Dense(3, 1), Vector <Complex> .Build.Dense(3, 2), Vector <Complex> .Build.Dense(3, 3));

            Assert.AreEqual(IterationStatus.Continue, status, "Should be running");

            var status2 = criterium.DetermineStatus(10, Vector <Complex> .Build.Dense(3, 1), Vector <Complex> .Build.Dense(3, 2), Vector <Complex> .Build.Dense(3, 3));

            Assert.AreEqual(IterationStatus.StoppedWithoutConvergence, status2, "Should be finished");
        }
        public void DetermineStatus()
        {
            var criterium = new IterationCountStopCriterium <double>(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));

            Assert.AreEqual(IterationStatus.Running, status, "Should be running");

            var status2 = criterium.DetermineStatus(10, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));

            Assert.AreEqual(IterationStatus.StoppedWithoutConvergence, status2, "Should be finished");
        }
        public void Clone()
        {
            var criterium = new IterationCountStopCriterium(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");
            Assert.AreEqual(10, criterium.MaximumNumberOfIterations, "Incorrect maximum");

            var clone = criterium.Clone();
            Assert.IsInstanceOfType(typeof(IterationCountStopCriterium), clone, "Wrong criterium type");

            var clonedCriterium = clone as IterationCountStopCriterium;
            Assert.IsNotNull(clonedCriterium);
            // ReSharper disable PossibleNullReferenceException
            Assert.AreEqual(criterium.MaximumNumberOfIterations, clonedCriterium.MaximumNumberOfIterations, "Clone failed");
            // ReSharper restore PossibleNullReferenceException
        }
Beispiel #17
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        public void Clone()
        {
            var criterium = new IterationCountStopCriterium(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");
            Assert.AreEqual(10, criterium.MaximumNumberOfIterations, "Incorrect maximum");

            var clone = criterium.Clone();

            Assert.IsInstanceOfType(typeof(IterationCountStopCriterium), clone, "Wrong criterium type");

            var clonedCriterium = clone as IterationCountStopCriterium;

            Assert.IsNotNull(clonedCriterium);
            // ReSharper disable PossibleNullReferenceException
            Assert.AreEqual(criterium.MaximumNumberOfIterations, clonedCriterium.MaximumNumberOfIterations, "Clone failed");
            // ReSharper restore PossibleNullReferenceException
        }
        public void Create()
        {
            var criterium = new IterationCountStopCriterium(10);

            Assert.IsNotNull(criterium, "A criterium should have been created");
        }
        /// <summary>
        /// Run example
        /// </summary>
        public void Run()
        {
            // Format matrix output to console
            var formatProvider = (CultureInfo)CultureInfo.InvariantCulture.Clone();

            formatProvider.TextInfo.ListSeparator = " ";

            // Solve next system of linear equations (Ax=b):
            // 5*x + 2*y - 4*z = -7
            // 3*x - 7*y + 6*z = 38
            // 4*x + 1*y + 5*z = 43

            // Create matrix "A" with coefficients
            var matrixA = DenseMatrix.OfArray(new[, ] {
                { 5.00, 2.00, -4.00 }, { 3.00, -7.00, 6.00 }, { 4.00, 1.00, 5.00 }
            });

            Console.WriteLine(@"Matrix 'A' with coefficients");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Create vector "b" with the constant terms.
            var vectorB = new DenseVector(new[] { -7.0, 38.0, 43.0 });

            Console.WriteLine(@"Vector 'b' with the constant terms");
            Console.WriteLine(vectorB.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Create stop criteriums to monitor an iterative calculation. There are next available stop criteriums:
            // - DivergenceStopCriterium: monitors an iterative calculation for signs of divergence;
            // - FailureStopCriterium: monitors residuals for NaN's;
            // - IterationCountStopCriterium: monitors the numbers of iteration steps;
            // - ResidualStopCriterium: monitors residuals if calculation is considered converged;

            // Stop calculation if 1000 iterations reached during calculation
            var iterationCountStopCriterium = new IterationCountStopCriterium <double>(1000);

            // Stop calculation if residuals are below 1E-10 --> the calculation is considered converged
            var residualStopCriterium = new ResidualStopCriterium(1e-10);

            // Create monitor with defined stop criteriums
            var monitor = new Iterator(new IIterationStopCriterium <double>[] { iterationCountStopCriterium, residualStopCriterium });

            // Create Multiple-Lanczos Bi-Conjugate Gradient Stabilized solver
            var solver = new MlkBiCgStab(monitor);

            // 1. Solve the matrix equation
            var resultX = solver.Solve(matrixA, vectorB);

            Console.WriteLine(@"1. Solve the matrix equation");
            Console.WriteLine();

            // 2. Check solver status of the iterations.
            // Solver has property IterationResult which contains the status of the iteration once the calculation is finished.
            // Possible values are:
            // - CalculationCancelled: calculation was cancelled by the user;
            // - CalculationConverged: calculation has converged to the desired convergence levels;
            // - CalculationDiverged: calculation diverged;
            // - CalculationFailure: calculation has failed for some reason;
            // - CalculationIndetermined: calculation is indetermined, not started or stopped;
            // - CalculationRunning: calculation is running and no results are yet known;
            // - CalculationStoppedWithoutConvergence: calculation has been stopped due to reaching the stopping limits, but that convergence was not achieved;
            Console.WriteLine(@"2. Solver status of the iterations");
            Console.WriteLine(solver.IterationResult);
            Console.WriteLine();

            // 3. Solution result vector of the matrix equation
            Console.WriteLine(@"3. Solution result vector of the matrix equation");
            Console.WriteLine(resultX.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 4. Verify result. Multiply coefficient matrix "A" by result vector "x"
            var reconstructVecorB = matrixA * resultX;

            Console.WriteLine(@"4. Multiply coefficient matrix 'A' by result vector 'x'");
            Console.WriteLine(reconstructVecorB.ToString("#0.00\t", formatProvider));
            Console.WriteLine();
        }
        public void ResetCalculationState()
        {
            var criterium = new IterationCountStopCriterium<Complex>(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));
            Assert.AreEqual(IterationStatus.Running, status, "Should be running");

            criterium.ResetToPrecalculationState();
            Assert.AreEqual(IterationStatus.Indetermined, criterium.Status, "Should not have started");
        }
 public void Create()
 {
     var criterium = new IterationCountStopCriterium(10);
     Assert.IsNotNull(criterium, "A criterium should have been created");
 }
        /// <summary>
        /// Run example
        /// </summary>
        public void Run()
        {
            // Format matrix output to console
            var formatProvider = (CultureInfo)CultureInfo.InvariantCulture.Clone();
            formatProvider.TextInfo.ListSeparator = " ";

            // Solve next system of linear equations (Ax=b):
            // 5*x + 2*y - 4*z = -7
            // 3*x - 7*y + 6*z = 38
            // 4*x + 1*y + 5*z = 43

            // Create matrix "A" with coefficients
            var matrixA = DenseMatrix.OfArray(new[,] { { 5.00, 2.00, -4.00 }, { 3.00, -7.00, 6.00 }, { 4.00, 1.00, 5.00 } });
            Console.WriteLine(@"Matrix 'A' with coefficients");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Create vector "b" with the constant terms.
            var vectorB = new DenseVector(new[] { -7.0, 38.0, 43.0 });
            Console.WriteLine(@"Vector 'b' with the constant terms");
            Console.WriteLine(vectorB.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Create stop criteriums to monitor an iterative calculation. There are next available stop criteriums:
            // - DivergenceStopCriterium: monitors an iterative calculation for signs of divergence;
            // - FailureStopCriterium: monitors residuals for NaN's;
            // - IterationCountStopCriterium: monitors the numbers of iteration steps;
            // - ResidualStopCriterium: monitors residuals if calculation is considered converged;

            // Stop calculation if 1000 iterations reached during calculation
            var iterationCountStopCriterium = new IterationCountStopCriterium<double>(1000);

            // Stop calculation if residuals are below 1E-10 --> the calculation is considered converged
            var residualStopCriterium = new ResidualStopCriterium<double>(1e-10);

            // Create monitor with defined stop criteriums
            var monitor = new Iterator<double>(iterationCountStopCriterium, residualStopCriterium);

            // Create Transpose Free Quasi-Minimal Residual solver
            var solver = new TFQMR();

            // 1. Solve the matrix equation
            var resultX = matrixA.SolveIterative(vectorB, solver, monitor);
            Console.WriteLine(@"1. Solve the matrix equation");
            Console.WriteLine();

            // 2. Check solver status of the iterations.
            // Solver has property IterationResult which contains the status of the iteration once the calculation is finished.
            // Possible values are:
            // - CalculationCancelled: calculation was cancelled by the user;
            // - CalculationConverged: calculation has converged to the desired convergence levels;
            // - CalculationDiverged: calculation diverged;
            // - CalculationFailure: calculation has failed for some reason;
            // - CalculationIndetermined: calculation is indetermined, not started or stopped;
            // - CalculationRunning: calculation is running and no results are yet known;
            // - CalculationStoppedWithoutConvergence: calculation has been stopped due to reaching the stopping limits, but that convergence was not achieved;
            Console.WriteLine(@"2. Solver status of the iterations");
            Console.WriteLine(monitor.Status);
            Console.WriteLine();

            // 3. Solution result vector of the matrix equation
            Console.WriteLine(@"3. Solution result vector of the matrix equation");
            Console.WriteLine(resultX.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 4. Verify result. Multiply coefficient matrix "A" by result vector "x"
            var reconstructVecorB = matrixA * resultX;
            Console.WriteLine(@"4. Multiply coefficient matrix 'A' by result vector 'x'");
            Console.WriteLine(reconstructVecorB.ToString("#0.00\t", formatProvider));
            Console.WriteLine();
        }
        public void DetermineStatus()
        {
            var criterium = new IterationCountStopCriterium<Complex32>(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, Vector<Complex32>.Build.Dense(3, 1), Vector<Complex32>.Build.Dense(3, 2), Vector<Complex32>.Build.Dense(3, 3));
            Assert.AreEqual(IterationStatus.Continue, status, "Should be running");

            var status2 = criterium.DetermineStatus(10, Vector<Complex32>.Build.Dense(3, 1), Vector<Complex32>.Build.Dense(3, 2), Vector<Complex32>.Build.Dense(3, 3));
            Assert.AreEqual(IterationStatus.StoppedWithoutConvergence, status2, "Should be finished");
        }
        public void DetermineStatus()
        {
            var criterium = new IterationCountStopCriterium<Complex>(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));
            Assert.AreEqual(IterationStatus.Running, status, "Should be running");

            var status2 = criterium.DetermineStatus(10, DenseVector.Create(3, i => 1), DenseVector.Create(3, i => 2), DenseVector.Create(3, i => 3));
            Assert.AreEqual(IterationStatus.StoppedWithoutConvergence, status2, "Should be finished");
        }
Beispiel #25
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        /// <summary>
        /// Run example
        /// </summary>
        public void Run()
        {
            // Format matrix output to console
            var formatProvider = (CultureInfo)CultureInfo.InvariantCulture.Clone();

            formatProvider.TextInfo.ListSeparator = " ";

            // Solve next system of linear equations (Ax=b):
            // 5*x + 2*y - 4*z = -7
            // 3*x - 7*y + 6*z = 38
            // 4*x + 1*y + 5*z = 43

            // Create matrix "A" with coefficients
            var matrixA = DenseMatrix.OfArray(new[, ] {
                { 5.00, 2.00, -4.00 }, { 3.00, -7.00, 6.00 }, { 4.00, 1.00, 5.00 }
            });

            Console.WriteLine(@"Matrix 'A' with coefficients");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Create vector "b" with the constant terms.
            var vectorB = new DenseVector(new[] { -7.0, 38.0, 43.0 });

            Console.WriteLine(@"Vector 'b' with the constant terms");
            Console.WriteLine(vectorB.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Create stop criteriums to monitor an iterative calculation. There are next available stop criteriums:
            // - DivergenceStopCriterium: monitors an iterative calculation for signs of divergence;
            // - FailureStopCriterium: monitors residuals for NaN's;
            // - IterationCountStopCriterium: monitors the numbers of iteration steps;
            // - ResidualStopCriterium: monitors residuals if calculation is considered converged;

            // Stop calculation if 1000 iterations reached during calculation
            var iterationCountStopCriterium = new IterationCountStopCriterium <double>(1000);

            // Stop calculation if residuals are below 1E-10 --> the calculation is considered converged
            var residualStopCriterium = new ResidualStopCriterium <double>(1e-10);

            // Create monitor with defined stop criteriums
            var monitor = new Iterator <double>(iterationCountStopCriterium, residualStopCriterium);

            // Load all suitable solvers from current assembly. Below in this example, there is user-defined solver
            // "class UserBiCgStab : IIterativeSolverSetup<double>" which uses regular BiCgStab solver. But user may create any other solver
            // and solver setup classes which implement IIterativeSolverSetup<T> and pass assembly to next function:
            var solver = new CompositeSolver(SolverSetup <double> .LoadFromAssembly(Assembly.GetExecutingAssembly()));

            // 1. Solve the matrix equation
            var resultX = matrixA.SolveIterative(vectorB, solver, monitor);

            Console.WriteLine(@"1. Solve the matrix equation");
            Console.WriteLine();

            // 2. Check solver status of the iterations.
            // Solver has property IterationResult which contains the status of the iteration once the calculation is finished.
            // Possible values are:
            // - CalculationCancelled: calculation was cancelled by the user;
            // - CalculationConverged: calculation has converged to the desired convergence levels;
            // - CalculationDiverged: calculation diverged;
            // - CalculationFailure: calculation has failed for some reason;
            // - CalculationIndetermined: calculation is indetermined, not started or stopped;
            // - CalculationRunning: calculation is running and no results are yet known;
            // - CalculationStoppedWithoutConvergence: calculation has been stopped due to reaching the stopping limits, but that convergence was not achieved;
            Console.WriteLine(@"2. Solver status of the iterations");
            Console.WriteLine(monitor.Status);
            Console.WriteLine();

            // 3. Solution result vector of the matrix equation
            Console.WriteLine(@"3. Solution result vector of the matrix equation");
            Console.WriteLine(resultX.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 4. Verify result. Multiply coefficient matrix "A" by result vector "x"
            var reconstructVecorB = matrixA * resultX;

            Console.WriteLine(@"4. Multiply coefficient matrix 'A' by result vector 'x'");
            Console.WriteLine(reconstructVecorB.ToString("#0.00\t", formatProvider));
            Console.WriteLine();
        }
        public void ResetCalculationState()
        {
            var criterium = new IterationCountStopCriterium<Complex32>(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            var status = criterium.DetermineStatus(5, Vector<Complex32>.Build.Dense(3, 1), Vector<Complex32>.Build.Dense(3, 2), Vector<Complex32>.Build.Dense(3, 3));
            Assert.AreEqual(IterationStatus.Continue, status, "Should be running");

            criterium.Reset();
            Assert.AreEqual(IterationStatus.Continue, criterium.Status, "Should not have started");
        }
        public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
        {
            var criterium = new IterationCountStopCriterium<double>(10);
            Assert.IsNotNull(criterium, "A criterium should have been created");

            Assert.That(() => criterium.DetermineStatus(-1, Vector<double>.Build.Dense(3, 1), Vector<double>.Build.Dense(3, 2), Vector<double>.Build.Dense(3, 3)), Throws.TypeOf<ArgumentOutOfRangeException>());
        }