@Test
public void testIncreasingTolerance()
throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException,
NoBracketingException {
int previousCalls = Integer.MAX_VALUE;
AdaptiveStepsizeIntegrator integ =
new DormandPrince853Integrator(0, Double.POSITIVE_INFINITY, Double.NaN, Double.NaN);
for (int i = -12; i < -2; ++i) {
TestProblem1 pb = new TestProblem1();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = FastMath.pow(10.0, i);
double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
integ.setStepSizeControl(minStep, maxStep, scalAbsoluteTolerance, scalRelativeTolerance);
TestProblemHandler handler = new TestProblemHandler(pb, integ);
integ.addStepHandler(handler);
integ.integrate(
pb,
pb.getInitialTime(),
pb.getInitialState(),
pb.getFinalTime(),
new double[pb.getDimension()]);
// the 1.3 factor is only valid for this test
// and has been obtained from trial and error
// there is no general relation between local and global errors
Assert.assertTrue(handler.getMaximalValueError() < (1.3 * scalAbsoluteTolerance));
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
int calls = pb.getCalls();
Assert.assertEquals(integ.getEvaluations(), calls);
Assert.assertTrue(calls <= previousCalls);
previousCalls = calls;
}
}
