public void Test2DSurfaceHighOrderRobustnessStructured()
{
ITestCase testCase = new Smereka2EllipseArcLength(GridSizes.Tiny, GridTypes.Structured);
testCase.ScaleShifts(0.5 * testCase.GridSpacing);
Program app = new Program(testCase);
app.Init(null);
app.SetUpEnvironment();
app.SetInitial();
int i = 1;
while (testCase.ProceedToNextShift())
{
double referenceValue = app.SetUpConfiguration();
var result = app.PerformConfiguration(
Modes.HMFClassic,
7,
rootFindingAlgorithm: new LineSegment.SafeGuardedNewtonMethod(1e-14));
double relError = Math.Abs(result.Item1 - referenceValue) / testCase.Solution;
Assert.That(
relError < 1e-4,
"Relative error too large for shift number " + i);
i++;
}
}
public void Test2DSurfaceConvergenceStructured()
{
int[] orders = Enumerable.Range(0, 10).ToArray();
GridSizes[] sizes = new GridSizes[] { GridSizes.Tiny, GridSizes.Small, GridSizes.Normal };
double[,] results = new double[sizes.Length, orders.Length];
var rootFindingAlgorithm = new LineSegment.SafeGuardedNewtonMethod(1e-14);
for (int i = 0; i < sizes.Length; i++)
{
ITestCase testCase = new Smereka2EllipseArcLength(sizes[i], GridTypes.Structured);
testCase.ScaleShifts(0.5 * testCase.GridSpacing);
Program app = new Program(testCase);
app.Init(null);
app.SetUpEnvironment();
app.SetInitial();
testCase.ProceedToNextShift();
double referenceValue = app.SetUpConfiguration();
for (int j = 0; j < orders.Length; j++)
{
var result = app.PerformConfiguration(
Modes.HMFClassic,
orders[j],
rootFindingAlgorithm: rootFindingAlgorithm);
results[i, j] = Math.Abs(result.Item1 - referenceValue);
}
}
double[] xValues = sizes.Select(s => - Math.Log(2.0) * (int)s).ToArray();
for (int j = 0; j < orders.Length; j++)
{
double[] yValues = new double[sizes.Length];
for (int i = 0; i < sizes.Length; i++)
{
yValues[i] = Math.Log(results[i, j]);
}
double eoc = Regression(xValues, yValues);
Assert.That(
eoc > orders[j] + 1,
"Convergence order too low for order " + orders[j]);
}
}