public void Create()
{
var criterium = new ResidualStopCriterium<float>(1e-6f, 50);
Assert.AreEqual(1e-6f, criterium.Maximum, "Incorrect maximum");
Assert.AreEqual(50, criterium.MinimumIterationsBelowMaximum, "Incorrect iteration count");
}
public void ResetMaximum()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.ResetMaximumResidualToDefault();
Assert.AreEqual(ResidualStopCriterium.DefaultMaximumResidual, criterium.Maximum, "Incorrect maximum");
}
public void Create()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.AreEqual(1e-8, criterium.Maximum, "Incorrect maximum");
Assert.AreEqual(50, criterium.MinimumIterationsBelowMaximum, "Incorrect iteration count");
}
public void DetermineStatusWithNonMatchingResidualVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium <float>(1e-6f, 50);
Assert.That(() => criterium.DetermineStatus(
1,
Vector <float> .Build.Dense(3, 4),
Vector <float> .Build.Dense(3, 4),
Vector <float> .Build.Dense(4, 4)), Throws.ArgumentException);
}
public void DetermineStatusWithNonMatchingSolutionVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium <Complex32>(1e-6f, 50);
Assert.Throws <ArgumentException>(() => criterium.DetermineStatus(
1,
Vector <Complex32> .Build.Dense(4, 4),
Vector <Complex32> .Build.Dense(3, 4),
Vector <Complex32> .Build.Dense(3, 4)));
}
public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
{
var criterium = new ResidualStopCriterium<Complex32>(1e-6f, 50);
Assert.Throws<ArgumentOutOfRangeException>(() => criterium.DetermineStatus(
-1,
DenseVector.Create(3, i => 4),
DenseVector.Create(3, i => 5),
DenseVector.Create(3, i => 6)));
}
public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
{
var criterium = new ResidualStopCriterium <Complex>(1e-8, 50);
Assert.That(() => criterium.DetermineStatus(
-1,
Vector <Complex> .Build.Dense(3, 4),
Vector <Complex> .Build.Dense(3, 5),
Vector <Complex> .Build.Dense(3, 6)), Throws.TypeOf <ArgumentOutOfRangeException>());
}
public void DetermineStatusWithNonMatchingSolutionVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium <float>(1e-6f, 50);
Assert.Throws <ArgumentException>(() => criterium.DetermineStatus(
1,
DenseVector.Create(4, i => 4),
DenseVector.Create(3, i => 4),
DenseVector.Create(3, i => 4)));
}
public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
{
var criterium = new ResidualStopCriterium <Complex32>(1e-6f, 50);
Assert.Throws <ArgumentOutOfRangeException>(() => criterium.DetermineStatus(
-1,
DenseVector.Create(3, i => 4),
DenseVector.Create(3, i => 5),
DenseVector.Create(3, i => 6)));
}
public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
{
var criterium = new ResidualStopCriterium <float>(1e-6f, 50);
Assert.Throws <ArgumentOutOfRangeException>(() => criterium.DetermineStatus(
-1,
Vector <float> .Build.Dense(3, 4),
Vector <float> .Build.Dense(3, 5),
Vector <float> .Build.Dense(3, 6)));
}
public void DetermineStatusWithNonMatchingResidualVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium <double>(1e-8, 50);
Assert.Throws <ArgumentException>(() => criterium.DetermineStatus(
1,
Vector <double> .Build.Dense(3, 4),
Vector <double> .Build.Dense(3, 4),
Vector <double> .Build.Dense(4, 4)));
}
public void DetermineStatusWithNonMatchingResidualVector()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.DetermineStatus(1,
new DenseVector(3, 4),
new DenseVector(3, 4),
new DenseVector(4, 4));
}
public void DetermineStatusWithResidualNaN()
{
var criterium = new ResidualStopCriterium <double>(1e-3, 10);
var solution = new DenseVector(new[] { 1.0, 1.0, 2.0 });
var source = new DenseVector(new[] { 1.0, 1.0, 2.0 });
var residual = new DenseVector(new[] { 1000.0, double.NaN, 2001.0 });
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Diverged, status, "Should be diverged");
}
public void DetermineStatusWithConvergenceAtFirstIteration()
{
var criterium = new ResidualStopCriterium <double>(1e-12);
var solution = new DenseVector(new[] { 1.0, 1.0, 1.0 });
var source = new DenseVector(new[] { 1.0, 1.0, 1.0 });
var residual = new DenseVector(new[] { 0.0, 0.0, 0.0 });
var status = criterium.DetermineStatus(0, solution, source, residual);
Assert.AreEqual(IterationStatus.Converged, status, "Should be done");
}
public void DetermineStatusWithSourceNaN()
{
var criterium = new ResidualStopCriterium <float>(1e-3f, 10);
var solution = new DenseVector(new[] { 1.0f, 1.0f, 2.0f });
var source = new DenseVector(new[] { 1.0f, 1.0f, float.NaN });
var residual = new DenseVector(new[] { 1000.0f, 1000.0f, 2001.0f });
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Diverged, status, "Should be diverged");
}
public void DetermineStatusWithConvergenceAtFirstIteration()
{
var criterium = new ResidualStopCriterium <Complex32>(1e-6);
var solution = new DenseVector(new[] { Complex32.One, Complex32.One, Complex32.One });
var source = new DenseVector(new[] { Complex32.One, Complex32.One, Complex32.One });
var residual = new DenseVector(new[] { Complex32.Zero, Complex32.Zero, Complex32.Zero });
var status = criterium.DetermineStatus(0, solution, source, residual);
Assert.AreEqual(IterationStatus.Converged, status, "Should be done");
}
public void DetermineStatusWithNullResidualVectorThrowsArgumentNullException()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws <ArgumentNullException>(() => criterium.DetermineStatus(
1,
new DenseVector(3, 4),
new DenseVector(3, 5),
null));
}
public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws <ArgumentOutOfRangeException>(() => criterium.DetermineStatus(
-1,
DenseVector.Create(3, i => 4),
DenseVector.Create(3, i => 5),
DenseVector.Create(3, i => 6)));
}
public void DetermineStatusWithNonMatchingResidualVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws <ArgumentException>(() => criterium.DetermineStatus(
1,
DenseVector.Create(3, i => 4),
DenseVector.Create(3, i => 4),
DenseVector.Create(4, i => 4)));
}
public void DetermineStatusWithNonMatchingSourceVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium(1e-6f, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws <ArgumentException>(() => criterium.DetermineStatus(
1,
new DenseVector(3, 4),
new DenseVector(4, 4),
new DenseVector(3, 4)));
}
public void DetermineStatusWithResidualNaN()
{
var criterium = new ResidualStopCriterium <Complex32>(1e-3f, 10);
var solution = new DenseVector(new[] { new Complex32(1.0f, 1), new Complex32(1.0f, 1), new Complex32(2.0f, 1) });
var source = new DenseVector(new[] { new Complex32(1.0f, 1), new Complex32(1.0f, 1), new Complex32(2.0f, 1) });
var residual = new DenseVector(new[] { new Complex32(1000.0f, 1), new Complex32(float.NaN, 1), new Complex32(2001.0f, 1) });
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Diverged, status, "Should be diverged");
}
public void DetermineStatusWithIllegalIterationNumber()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.DetermineStatus(-1,
new DenseVector(3, 4),
new DenseVector(3, 5),
new DenseVector(3, 6));
Assert.Fail();
}
public void DetermineStatusWithNullSourceVector()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.DetermineStatus(1,
new DenseVector(3, 4),
null,
new DenseVector(3, 6));
Assert.Fail();
}
public void DetermineStatusWithNullSolutionVectorThrowsArgumentNullException()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws <ArgumentNullException>(() => criterium.DetermineStatus(
1,
null,
DenseVector.Create(3, i => 5),
DenseVector.Create(3, i => 6)));
}
public void DetermineStatusWithResidualNaN()
{
var criterium = new ResidualStopCriterium(1e-3, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { new Complex(1.0, 1), new Complex(1.0, 1), new Complex(2.0, 1) });
var source = new DenseVector(new[] { new Complex(1.0, 1), new Complex(1.0, 1), new Complex(2.0, 1) });
var residual = new DenseVector(new[] { new Complex(1000.0, 1), new Complex(double.NaN, 1), new Complex(2001.0, 1) });
criterium.DetermineStatus(5, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationDiverged), criterium.Status, "Should be diverged");
}
public void Clone()
{
var criterium = new ResidualStopCriterium<Complex32>(1e-3f, 10);
var clone = criterium.Clone();
Assert.IsInstanceOf(typeof(ResidualStopCriterium<Complex32>), clone, "Wrong criterium type");
var clonedCriterium = clone as ResidualStopCriterium<Complex32>;
Assert.IsNotNull(clonedCriterium);
Assert.AreEqual(criterium.Maximum, clonedCriterium.Maximum, "Clone failed");
Assert.AreEqual(criterium.MinimumIterationsBelowMaximum, clonedCriterium.MinimumIterationsBelowMaximum, "Clone failed");
}
public void DetermineStatusWithSourceNaN()
{
var criterium = new ResidualStopCriterium(1e-3f, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { 1.0f, 1.0f, 2.0f });
var source = new DenseVector(new[] { 1.0f, 1.0f, float.NaN });
var residual = new DenseVector(new[] { 1000.0f, 1000.0f, 2001.0f });
criterium.DetermineStatus(5, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationDiverged), criterium.Status, "Should be diverged");
}
public void DetermineStatusWithConvergenceAtFirstIteration()
{
var criterium = new ResidualStopCriterium();
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { Complex.One, Complex.One, Complex.One });
var source = new DenseVector(new[] { Complex.One, Complex.One, Complex.One });
var residual = new DenseVector(new[] { Complex.Zero, Complex.Zero, Complex.Zero });
criterium.DetermineStatus(0, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationConverged), criterium.Status, "Should be done");
}
public void DetermineStatusWithConvergenceAtFirstIteration()
{
var criterium = new ResidualStopCriterium();
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { 1.0f, 1.0f, 1.0f });
var source = new DenseVector(new[] { 1.0f, 1.0f, 1.0f });
var residual = new DenseVector(new[] { 0.0f, 0.0f, 0.0f });
var status = criterium.DetermineStatus(0, solution, source, residual);
Assert.AreEqual(IterationStatus.Converged, status, "Should be done");
}
public void DetermineStatusWithResidualNaN()
{
var criterium = new ResidualStopCriterium(1e-3, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { new Complex(1.0, 1), new Complex(1.0, 1), new Complex(2.0, 1) });
var source = new DenseVector(new[] { new Complex(1.0, 1), new Complex(1.0, 1), new Complex(2.0, 1) });
var residual = new DenseVector(new[] { new Complex(1000.0, 1), new Complex(double.NaN, 1), new Complex(2001.0, 1) });
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Diverged, status, "Should be diverged");
}
public void Clone()
{
var criterium = new ResidualStopCriterium(1e-3, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var clone = criterium.Clone();
Assert.IsInstanceOfType(typeof(ResidualStopCriterium), clone, "Wrong criterium type");
var clonedCriterium = clone as ResidualStopCriterium;
Assert.IsNotNull(clonedCriterium);
// ReSharper disable PossibleNullReferenceException
Assert.AreEqual(criterium.Maximum, clonedCriterium.Maximum, "Clone failed");
Assert.AreEqual(criterium.MinimumIterationsBelowMaximum, clonedCriterium.MinimumIterationsBelowMaximum, "Clone failed");
// ReSharper restore PossibleNullReferenceException
}
public void ResetCalculationState()
{
var criterium = new ResidualStopCriterium <double>(1e-3, 10);
var solution = new DenseVector(new[] { 0.001, 0.001, 0.002 });
var source = new DenseVector(new[] { 0.001, 0.001, 0.002 });
var residual = new DenseVector(new[] { 1.000, 1.000, 2.001 });
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Continue, status, "Should be running");
criterium.Reset();
Assert.AreEqual(IterationStatus.Continue, criterium.Status, "Should not have started");
}
public void ResetCalculationState()
{
var criterium = new ResidualStopCriterium <Complex32>(1e-3f, 10);
var solution = new DenseVector(new[] { new Complex32(0.001f, 1), new Complex32(0.001f, 1), new Complex32(0.002f, 1) });
var source = new DenseVector(new[] { new Complex32(0.001f, 1), new Complex32(0.001f, 1), new Complex32(0.002f, 1) });
var residual = new DenseVector(new[] { new Complex32(1.000f, 0), new Complex32(1.000f, 0), new Complex32(2.001f, 0) });
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Continue, status, "Should be running");
criterium.Reset();
Assert.AreEqual(IterationStatus.Continue, criterium.Status, "Should not have started");
}
public void Clone()
{
var criterium = new ResidualStopCriterium <Complex32>(1e-3f, 10);
var clone = criterium.Clone();
Assert.IsInstanceOf(typeof(ResidualStopCriterium <Complex32>), clone, "Wrong criterium type");
var clonedCriterium = clone as ResidualStopCriterium <Complex32>;
Assert.IsNotNull(clonedCriterium);
Assert.AreEqual(criterium.Maximum, clonedCriterium.Maximum, "Clone failed");
Assert.AreEqual(criterium.MinimumIterationsBelowMaximum, clonedCriterium.MinimumIterationsBelowMaximum, "Clone failed");
}
public void ResetCalculationState()
{
var criterium = new ResidualStopCriterium(1e-3, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { new Complex(0.001, 1), new Complex(0.001, 1), new Complex(0.002, 1) });
var source = new DenseVector(new[] { new Complex(0.001, 1), new Complex(0.001, 1), new Complex(0.002, 1) });
var residual = new DenseVector(new[] { new Complex(1.000, 0), new Complex(1.000, 0), new Complex(2.001, 0) });
criterium.DetermineStatus(5, solution, source, residual);
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 ResidualStopCriterium(1e-3f, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { 0.001f, 0.001f, 0.002f });
var source = new DenseVector(new[] { 0.001f, 0.001f, 0.002f });
var residual = new DenseVector(new[] { 1.000f, 1.000f, 2.001f });
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Running, status, "Should be running");
criterium.ResetToPrecalculationState();
Assert.AreEqual(IterationStatus.Indetermined, criterium.Status, "Should not have started");
}
public void DetermineStatus()
{
var criterium = new ResidualStopCriterium(1e-3, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
// Note that the solution vector isn't actually being used so ...
var solution = new DenseVector(new[] { double.NaN, double.NaN, double.NaN });
// Set the source values
var source = new DenseVector(new[] { 1.000, 1.000, 2.001 });
// Set the residual values
var residual = new DenseVector(new[] { 0.001, 0.001, 0.002 });
criterium.DetermineStatus(5, solution, source, residual);
Assert.IsInstanceOfType(typeof(CalculationRunning), criterium.Status, "Should still be running");
criterium.DetermineStatus(16, solution, source, residual);
Assert.IsInstanceOfType(typeof(CalculationConverged), criterium.Status, "Should be done");
}
public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws<ArgumentOutOfRangeException>(() => criterium.DetermineStatus(
-1,
new DenseVector(3, 4),
new DenseVector(3, 5),
new DenseVector(3, 6)));
}
public void DetermineStatusWithConvergenceAtFirstIteration()
{
var criterium = new ResidualStopCriterium();
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { 1.0, 1.0, 1.0 });
var source = new DenseVector(new[] { 1.0, 1.0, 1.0 });
var residual = new DenseVector(new[] { 0.0, 0.0, 0.0 });
criterium.DetermineStatus(0, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationConverged), criterium.Status, "Should be done");
}
public void DetermineStatusWithSourceNaN()
{
var criterium = new ResidualStopCriterium<float>(1e-3f, 10);
var solution = new DenseVector(new[] {1.0f, 1.0f, 2.0f});
var source = new DenseVector(new[] {1.0f, 1.0f, float.NaN});
var residual = new DenseVector(new[] {1000.0f, 1000.0f, 2001.0f});
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Diverged, status, "Should be diverged");
}
public void ResetCalculationState()
{
var criterium = new ResidualStopCriterium<float>(1e-3f, 10);
var solution = new DenseVector(new[] {0.001f, 0.001f, 0.002f});
var source = new DenseVector(new[] {0.001f, 0.001f, 0.002f});
var residual = new DenseVector(new[] {1.000f, 1.000f, 2.001f});
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Continue, status, "Should be running");
criterium.Reset();
Assert.AreEqual(IterationStatus.Continue, criterium.Status, "Should not have started");
}
/// <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 DetermineStatusWithNonMatchingSourceVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium<float>(1e-6f, 50);
Assert.Throws<ArgumentException>(() => criterium.DetermineStatus(
1,
Vector<float>.Build.Dense(3, 4),
Vector<float>.Build.Dense(4, 4),
Vector<float>.Build.Dense(3, 4)));
}
public void ResetCalculationState()
{
var criterium = new ResidualStopCriterium(1e-3, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { 0.001, 0.001, 0.002 });
var source = new DenseVector(new[] { 0.001, 0.001, 0.002 });
var residual = new DenseVector(new[] { 1.000, 1.000, 2.001 });
criterium.DetermineStatus(5, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationRunning), criterium.Status, "Should be running");
criterium.ResetToPrecalculationState();
Assert.IsInstanceOf(typeof(CalculationIndetermined), criterium.Status, "Should not have started");
}
public void DetermineStatusWithNullSourceVector()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.DetermineStatus(1,
new DenseVector(3, 4),
null,
new DenseVector(3, 6));
Assert.Fail();
}
public void DetermineStatusWithNonMatchingResidualVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws<ArgumentException>(() => criterium.DetermineStatus(
1,
DenseVector.Create(3, i => 4),
DenseVector.Create(3, i => 4),
DenseVector.Create(4, i => 4)));
}
public void DetermineStatusWithNullSourceVectorThrowsArgumentNullException()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws<ArgumentNullException>(() => criterium.DetermineStatus(
1,
new DenseVector(3, 4),
null,
new DenseVector(3, 6)));
}
public void DetermineStatusWithNonMatchingSolutionVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium<Complex>(1e-8, 50);
Assert.Throws<ArgumentException>(() => criterium.DetermineStatus(
1,
DenseVector.Create(4, i => 4),
DenseVector.Create(3, i => 4),
DenseVector.Create(3, i => 4)));
}
public void DetermineStatus()
{
var criterium = new ResidualStopCriterium(1e-3f, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
// the solution vector isn't actually being used so ...
var solution = new DenseVector(new[] { new Complex32(float.NaN, float.NaN), new Complex32(float.NaN, float.NaN), new Complex32(float.NaN, float.NaN) });
// Set the source values
var source = new DenseVector(new[] { new Complex32(1.000f, 1), new Complex32(1.000f, 1), new Complex32(2.001f, 1) });
// Set the residual values
var residual = new DenseVector(new[] { new Complex32(0.001f, 0), new Complex32(0.001f, 0), new Complex32(0.002f, 0) });
criterium.DetermineStatus(5, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationRunning), criterium.Status, "Should still be running");
criterium.DetermineStatus(16, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationConverged), criterium.Status, "Should be done");
}
public void DetermineStatusWithSourceNaN()
{
var criterium = new ResidualStopCriterium(1e-3f, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { new Complex32(1.0f, 1), new Complex32(1.0f, 1), new Complex32(2.0f, 1) });
var source = new DenseVector(new[] { new Complex32(1.0f, 1), new Complex32(1.0f, 1), new Complex32(float.NaN, 1) });
var residual = new DenseVector(new[] { new Complex32(1000.0f, 1), new Complex32(1000.0f, 1), new Complex32(2001.0f, 1) });
criterium.DetermineStatus(5, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationDiverged), criterium.Status, "Should be diverged");
}
public void DetermineStatusWithNonMatchingSolutionVectorThrowsArgumentException()
{
var criterium = new ResidualStopCriterium(1e-6f, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws<ArgumentException>(() => criterium.DetermineStatus(
1,
new DenseVector(4, 4),
new DenseVector(3, 4),
new DenseVector(3, 4)));
}
public void DetermineStatusWithIllegalIterationNumber()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.DetermineStatus(-1,
new DenseVector(3, 4),
new DenseVector(3, 5),
new DenseVector(3, 6));
Assert.Fail();
}
public void DetermineStatusWithSourceNaN()
{
var criterium = new ResidualStopCriterium(1e-3, 10);
Assert.IsNotNull(criterium, "There should be a criterium");
var solution = new DenseVector(new[] { 1.0, 1.0, 2.0 });
var source = new DenseVector(new[] { 1.0, 1.0, double.NaN });
var residual = new DenseVector(new[] { 1000.0, 1000.0, 2001.0 });
criterium.DetermineStatus(5, solution, source, residual);
Assert.IsInstanceOf(typeof(CalculationDiverged), criterium.Status, "Should be diverged");
}
public void DetermineStatus()
{
var criterium = new ResidualStopCriterium<float>(1e-3f, 10);
// the solution vector isn't actually being used so ...
var solution = new DenseVector(new[] {float.NaN, float.NaN, float.NaN});
// Set the source values
var source = new DenseVector(new[] {1.000f, 1.000f, 2.001f});
// Set the residual values
var residual = new DenseVector(new[] {0.001f, 0.001f, 0.002f});
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Continue, status, "Should still be running");
var status2 = criterium.DetermineStatus(16, solution, source, residual);
Assert.AreEqual(IterationStatus.Converged, status2, "Should be done");
}
public void ResetMinimumIterationsBelowMaximum()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.ResetMinimumIterationsBelowMaximumToDefault();
Assert.AreEqual(ResidualStopCriterium.DefaultMinimumIterationsBelowMaximum, criterium.MinimumIterationsBelowMaximum, "Incorrect iteration count");
}
public void DetermineStatusWithNonMatchingSolutionVector()
{
var criterium = new ResidualStopCriterium(1e-8, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
criterium.DetermineStatus(1,
new DenseVector(4, 4),
new DenseVector(3, 4),
new DenseVector(3, 4));
}
public void DetermineStatusWithConvergenceAtFirstIteration()
{
var criterium = new ResidualStopCriterium<float>(1e-6);
var solution = new DenseVector(new[] {1.0f, 1.0f, 1.0f});
var source = new DenseVector(new[] {1.0f, 1.0f, 1.0f});
var residual = new DenseVector(new[] {0.0f, 0.0f, 0.0f});
var status = criterium.DetermineStatus(0, solution, source, residual);
Assert.AreEqual(IterationStatus.Converged, status, "Should be done");
}
public void ResetCalculationState()
{
var criterium = new ResidualStopCriterium<Complex>(1e-3, 10);
var solution = new DenseVector(new[] {new Complex(0.001, 1), new Complex(0.001, 1), new Complex(0.002, 1)});
var source = new DenseVector(new[] {new Complex(0.001, 1), new Complex(0.001, 1), new Complex(0.002, 1)});
var residual = new DenseVector(new[] {new Complex(1.000, 0), new Complex(1.000, 0), new Complex(2.001, 0)});
var status = criterium.DetermineStatus(5, solution, source, residual);
Assert.AreEqual(IterationStatus.Continue, status, "Should be running");
criterium.Reset();
Assert.AreEqual(IterationStatus.Continue, criterium.Status, "Should not have started");
}
public void DetermineStatusWithNullSolutionVectorThrowsArgumentNullException()
{
var criterium = new ResidualStopCriterium(1e-6f, 50);
Assert.IsNotNull(criterium, "There should be a criterium");
Assert.Throws<ArgumentNullException>(() => criterium.DetermineStatus(
1,
null,
DenseVector.Create(3, i => 5),
DenseVector.Create(3, i => 6)));
}
public void DetermineStatusWithIllegalIterationNumberThrowsArgumentOutOfRangeException()
{
var criterium = new ResidualStopCriterium<float>(1e-6f, 50);
Assert.Throws<ArgumentOutOfRangeException>(() => criterium.DetermineStatus(
-1,
Vector<float>.Build.Dense(3, 4),
Vector<float>.Build.Dense(3, 5),
Vector<float>.Build.Dense(3, 6)));
}