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* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
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* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
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* See the License for the specific language governing permissions and
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package org.apache.commons.math3.ode.nonstiff;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MaxCountExceededException;
import org.apache.commons.math3.exception.NoBracketingException;
import org.apache.commons.math3.exception.NumberIsTooSmallException;
import org.apache.commons.math3.ode.FirstOrderIntegrator;
import org.apache.commons.math3.ode.TestProblem1;
import org.apache.commons.math3.ode.TestProblem5;
import org.apache.commons.math3.ode.TestProblem6;
import org.apache.commons.math3.ode.TestProblemHandler;
import org.apache.commons.math3.util.FastMath;
import org.junit.Assert;
import org.junit.Test;
public class AdamsBashforthIntegratorTest {
@Test(expected=DimensionMismatchException.class)
public void dimensionCheck() throws NumberIsTooSmallException, DimensionMismatchException, MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
FirstOrderIntegrator integ =
new AdamsBashforthIntegrator(2, 0.0, 1.0, 1.0e-10, 1.0e-10);
integ.integrate(pb,
0.0, new double[pb.getDimension()+10],
1.0, new double[pb.getDimension()+10]);
}
@Test(expected=NumberIsTooSmallException.class)
public void testMinStep() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
double minStep = 0.1 * (pb.getFinalTime() - pb.getInitialTime());
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double[] vecAbsoluteTolerance = { 1.0e-15, 1.0e-16 };
double[] vecRelativeTolerance = { 1.0e-15, 1.0e-16 };
FirstOrderIntegrator integ = new AdamsBashforthIntegrator(4, minStep, maxStep,
vecAbsoluteTolerance,
vecRelativeTolerance);
TestProblemHandler handler = new TestProblemHandler(pb, integ);
integ.addStepHandler(handler);
integ.integrate(pb,
pb.getInitialTime(), pb.getInitialState(),
pb.getFinalTime(), new double[pb.getDimension()]);
}
@Test
public void testIncreasingTolerance() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException
{
int previousCalls = Integer.MAX_VALUE;
for (int i = -12; i < -5; ++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;
FirstOrderIntegrator integ = new AdamsBashforthIntegrator(4, 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 50 and 300 factors are 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() > (50.0 * scalAbsoluteTolerance));
Assert.assertTrue(handler.getMaximalValueError() < (300.0 * scalAbsoluteTolerance));
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-16);
int calls = pb.getCalls();
Assert.assertEquals(integ.getEvaluations(), calls);
Assert.assertTrue(calls <= previousCalls);
previousCalls = calls;
}
}
@Test(expected = MaxCountExceededException.class)
public void exceedMaxEvaluations() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
double range = pb.getFinalTime() - pb.getInitialTime();
AdamsBashforthIntegrator integ = new AdamsBashforthIntegrator(2, 0, range, 1.0e-12, 1.0e-12);
TestProblemHandler handler = new TestProblemHandler(pb, integ);
integ.addStepHandler(handler);
integ.setMaxEvaluations(650);
integ.integrate(pb,
pb.getInitialTime(), pb.getInitialState(),
pb.getFinalTime(), new double[pb.getDimension()]);
}
@Test
public void backward() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double range = FastMath.abs(pb.getFinalTime() - pb.getInitialTime());
FirstOrderIntegrator integ = new AdamsBashforthIntegrator(4, 0, range, 1.0e-12, 1.0e-12);
TestProblemHandler handler = new TestProblemHandler(pb, integ);
integ.addStepHandler(handler);
integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
pb.getFinalTime(), new double[pb.getDimension()]);
Assert.assertTrue(handler.getLastError() < 1.5e-8);
Assert.assertTrue(handler.getMaximalValueError() < 1.5e-8);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-16);
Assert.assertEquals("Adams-Bashforth", integ.getName());
}
@Test
public void polynomial() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {
TestProblem6 pb = new TestProblem6();
double range = FastMath.abs(pb.getFinalTime() - pb.getInitialTime());
for (int nSteps = 2; nSteps < 8; ++nSteps) {
AdamsBashforthIntegrator integ =
new AdamsBashforthIntegrator(nSteps, 1.0e-6 * range, 0.1 * range, 1.0e-5, 1.0e-5);
TestProblemHandler handler = new TestProblemHandler(pb, integ);
integ.addStepHandler(handler);
integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
pb.getFinalTime(), new double[pb.getDimension()]);
if (nSteps < 4) {
Assert.assertTrue(handler.getMaximalValueError() > 1.0e-03);
} else {
Assert.assertTrue(handler.getMaximalValueError() < 4.0e-12);
}
}
}
}