org.apache.commons.math3.exception.NoBracketingException Java Examples
The following examples show how to use
org.apache.commons.math3.exception.NoBracketingException.
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Example #1
| Source File: DormandPrince853IntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = 1.0e-8;
double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
FirstOrderIntegrator integ = new DormandPrince853Integrator(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()]);
Assert.assertTrue(handler.getLastError() < 1.1e-7);
Assert.assertTrue(handler.getMaximalValueError() < 1.1e-7);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Dormand-Prince 8 (5, 3)", integ.getName());
}
Example #2
| Source File: AdamsMoultonIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@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 AdamsMoultonIntegrator(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()]);
}
Example #3
| Source File: AdamsBashforthIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@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());
}
Example #4
| Source File: RobustBrentSolver.java From gatk with BSD 3-Clause "New" or "Revised" License | 6 votes |
|
@Override
protected double doSolve() throws TooManyEvaluationsException, NoBracketingException {
final double min = getMin();
final double max = getMax();
final double[] xSearchGrid = createHybridSearchGrid(min, max, numBisections, depth);
final double[] fSearchGrid = Arrays.stream(xSearchGrid).map(this::computeObjectiveValue).toArray();
/* find bracketing intervals on the search grid */
final List<Bracket> bracketsList = detectBrackets(xSearchGrid, fSearchGrid);
if (bracketsList.isEmpty()) {
throw new NoBracketingException(min, max, fSearchGrid[0], fSearchGrid[fSearchGrid.length-1]);
}
final BrentSolver solver = new BrentSolver(getRelativeAccuracy(), getAbsoluteAccuracy(), getFunctionValueAccuracy());
final List<Double> roots = bracketsList.stream()
.map(b -> solver.solve(getMaxEvaluations(), this::computeObjectiveValue, b.min, b.max, 0.5 * (b.min + b.max)))
.collect(Collectors.toList());
if (roots.size() == 1 || meritFunc == null) {
return roots.get(0);
}
final double[] merits = roots.stream().mapToDouble(meritFunc::value).toArray();
final int bestRootIndex = IntStream.range(0, roots.size())
.boxed()
.max((i, j) -> (int) (merits[i] - merits[j]))
.get();
return roots.get(bestRootIndex);
}
Example #5
| Source File: DormandPrince54IntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@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 DormandPrince54Integrator(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()]);
Assert.fail("an exception should have been thrown");
}
Example #6
| Source File: HighamHall54IntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testKepler()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
final TestProblem3 pb = new TestProblem3(0.9);
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double[] vecAbsoluteTolerance = { 1.0e-8, 1.0e-8, 1.0e-10, 1.0e-10 };
double[] vecRelativeTolerance = { 1.0e-10, 1.0e-10, 1.0e-8, 1.0e-8 };
FirstOrderIntegrator integ = new HighamHall54Integrator(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()]);
Assert.assertEquals(0.0, handler.getMaximalValueError(), 1.5e-4);
Assert.assertEquals("Higham-Hall 5(4)", integ.getName());
}
Example #7
| Source File: ClassicalRungeKuttaIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double step = FastMath.abs(pb.getFinalTime() - pb.getInitialTime()) * 0.001;
FirstOrderIntegrator integ = new ClassicalRungeKuttaIntegrator(step);
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() < 5.0e-10);
Assert.assertTrue(handler.getMaximalValueError() < 7.0e-10);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("classical Runge-Kutta", integ.getName());
}
Example #8
| Source File: GraggBulirschStoerIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testKepler()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
final TestProblem3 pb = new TestProblem3(0.9);
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double absTolerance = 1.0e-6;
double relTolerance = 1.0e-6;
FirstOrderIntegrator integ =
new GraggBulirschStoerIntegrator(minStep, maxStep,
absTolerance, relTolerance);
integ.addStepHandler(new KeplerStepHandler(pb));
integ.integrate(pb,
pb.getInitialTime(), pb.getInitialState(),
pb.getFinalTime(), new double[pb.getDimension()]);
Assert.assertEquals(integ.getEvaluations(), pb.getCalls());
Assert.assertTrue(pb.getCalls() < 2150);
}
Example #9
| Source File: AdamsMoultonIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@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) {
AdamsMoultonIntegrator integ =
new AdamsMoultonIntegrator(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() > 7.0e-04);
} else {
Assert.assertTrue(handler.getMaximalValueError() < 3.0e-13);
}
}
}
Example #10
| Source File: FirstOrderConverterTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testDecreasingSteps()
throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {
double previousError = Double.NaN;
for (int i = 0; i < 10; ++i) {
double step = FastMath.pow(2.0, -(i + 1));
double error = integrateWithSpecifiedStep(4.0, 0.0, 1.0, step)
- FastMath.sin(4.0);
if (i > 0) {
Assert.assertTrue(FastMath.abs(error) < FastMath.abs(previousError));
}
previousError = error;
}
}
Example #11
| Source File: AbstractIntegrator.java From astor with GNU General Public License v2.0 | 6 votes |
|
/** {@inheritDoc} */
public double integrate(final FirstOrderDifferentialEquations equations,
final double t0, final double[] y0, final double t, final double[] y)
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
if (y0.length != equations.getDimension()) {
throw new DimensionMismatchException(y0.length, equations.getDimension());
}
if (y.length != equations.getDimension()) {
throw new DimensionMismatchException(y.length, equations.getDimension());
}
// prepare expandable stateful equations
final ExpandableStatefulODE expandableODE = new ExpandableStatefulODE(equations);
expandableODE.setTime(t0);
expandableODE.setPrimaryState(y0);
// perform integration
integrate(expandableODE, t);
// extract results back from the stateful equations
System.arraycopy(expandableODE.getPrimaryState(), 0, y, 0, y.length);
return expandableODE.getTime();
}
Example #12
| Source File: FirstOrderConverterTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testDecreasingSteps()
throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {
double previousError = Double.NaN;
for (int i = 0; i < 10; ++i) {
double step = FastMath.pow(2.0, -(i + 1));
double error = integrateWithSpecifiedStep(4.0, 0.0, 1.0, step)
- FastMath.sin(4.0);
if (i > 0) {
Assert.assertTrue(FastMath.abs(error) < FastMath.abs(previousError));
}
previousError = error;
}
}
Example #13
| Source File: UnivariateSolverUtils.java From astor with GNU General Public License v2.0 | 6 votes |
|
/**
* Check that the endpoints specify an interval and the end points
* bracket a root.
*
* @param function Function.
* @param lower Lower endpoint.
* @param upper Upper endpoint.
* @throws NoBracketingException if the function has the same sign at the
* endpoints.
* @throws NullArgumentException if {@code function} is {@code null}.
*/
public static void verifyBracketing(UnivariateFunction function,
final double lower,
final double upper)
throws NullArgumentException,
NoBracketingException {
if (function == null) {
throw new NullArgumentException(LocalizedFormats.FUNCTION);
}
verifyInterval(lower, upper);
if (!isBracketing(function, lower, upper)) {
throw new NoBracketingException(lower, upper,
function.value(lower),
function.value(upper));
}
}
Example #14
| Source File: GillIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testSmallStep()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.001;
FirstOrderIntegrator integ = new GillIntegrator(step);
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() < 2.0e-13);
Assert.assertTrue(handler.getMaximalValueError() < 4.0e-12);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Gill", integ.getName());
}
Example #15
| Source File: HighamHall54IntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = 1.0e-8;
double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
FirstOrderIntegrator integ = new HighamHall54Integrator(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()]);
Assert.assertTrue(handler.getLastError() < 5.0e-7);
Assert.assertTrue(handler.getMaximalValueError() < 5.0e-7);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Higham-Hall 5(4)", integ.getName());
}
Example #16
| Source File: GraggBulirschStoerIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = 1.0e-8;
double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
FirstOrderIntegrator integ = new GraggBulirschStoerIntegrator(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()]);
Assert.assertTrue(handler.getLastError() < 7.5e-9);
Assert.assertTrue(handler.getMaximalValueError() < 8.1e-9);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Gragg-Bulirsch-Stoer", integ.getName());
}
Example #17
| Source File: AdamsMoultonIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test(expected = MaxCountExceededException.class)
public void exceedMaxEvaluations()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
double range = pb.getFinalTime() - pb.getInitialTime();
AdamsMoultonIntegrator integ = new AdamsMoultonIntegrator(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()]);
}
Example #18
| Source File: HighamHall54IntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = 1.0e-8;
double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
FirstOrderIntegrator integ = new HighamHall54Integrator(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()]);
Assert.assertTrue(handler.getLastError() < 5.0e-7);
Assert.assertTrue(handler.getMaximalValueError() < 5.0e-7);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Higham-Hall 5(4)", integ.getName());
}
Example #19
| Source File: ThreeEighthesIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testSmallStep()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.001;
FirstOrderIntegrator integ = new ThreeEighthesIntegrator(step);
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() < 2.0e-13);
Assert.assertTrue(handler.getMaximalValueError() < 4.0e-12);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("3/8", integ.getName());
}
Example #20
| Source File: LutherIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testSmallStep()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.001;
FirstOrderIntegrator integ = new LutherIntegrator(step);
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() < 9.0e-17);
Assert.assertTrue(handler.getMaximalValueError() < 4.0e-15);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Luther", integ.getName());
}
Example #21
| Source File: HighamHall54IntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = 1.0e-8;
double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
FirstOrderIntegrator integ = new HighamHall54Integrator(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()]);
Assert.assertTrue(handler.getLastError() < 5.0e-7);
Assert.assertTrue(handler.getMaximalValueError() < 5.0e-7);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Higham-Hall 5(4)", integ.getName());
}
Example #22
| Source File: EulerIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double step = FastMath.abs(pb.getFinalTime() - pb.getInitialTime()) * 0.001;
FirstOrderIntegrator integ = new EulerIntegrator(step);
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() < 0.45);
Assert.assertTrue(handler.getMaximalValueError() < 0.45);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Euler", integ.getName());
}
Example #23
| Source File: GraggBulirschStoerIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBackward()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem5 pb = new TestProblem5();
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = 1.0e-8;
double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
FirstOrderIntegrator integ = new GraggBulirschStoerIntegrator(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()]);
Assert.assertTrue(handler.getLastError() < 7.5e-9);
Assert.assertTrue(handler.getMaximalValueError() < 8.1e-9);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
Assert.assertEquals("Gragg-Bulirsch-Stoer", integ.getName());
}
Example #24
| Source File: EulerIntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testBigStep()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.2;
FirstOrderIntegrator integ = new EulerIntegrator(step);
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() > 0.01);
Assert.assertTrue(handler.getMaximalValueError() > 0.2);
Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
}
Example #25
| Source File: DormandPrince853IntegratorTest.java From astor with GNU General Public License v2.0 | 6 votes |
|
@Test
public void testKepler()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
final TestProblem3 pb = new TestProblem3(0.9);
double minStep = 0;
double maxStep = pb.getFinalTime() - pb.getInitialTime();
double scalAbsoluteTolerance = 1.0e-8;
double scalRelativeTolerance = scalAbsoluteTolerance;
FirstOrderIntegrator integ = new DormandPrince853Integrator(minStep, maxStep,
scalAbsoluteTolerance,
scalRelativeTolerance);
integ.addStepHandler(new KeplerHandler(pb));
integ.integrate(pb,
pb.getInitialTime(), pb.getInitialState(),
pb.getFinalTime(), new double[pb.getDimension()]);
Assert.assertEquals(integ.getEvaluations(), pb.getCalls());
Assert.assertTrue(pb.getCalls() < 3300);
}
Example #26
| Source File: AbstractIntegrator.java From astor with GNU General Public License v2.0 | 6 votes |
|
/** {@inheritDoc} */
public double integrate(final FirstOrderDifferentialEquations equations,
final double t0, final double[] y0, final double t, final double[] y)
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
if (y0.length != equations.getDimension()) {
throw new DimensionMismatchException(y0.length, equations.getDimension());
}
if (y.length != equations.getDimension()) {
throw new DimensionMismatchException(y.length, equations.getDimension());
}
// prepare expandable stateful equations
final ExpandableStatefulODE expandableODE = new ExpandableStatefulODE(equations);
expandableODE.setTime(t0);
expandableODE.setPrimaryState(y0);
// perform integration
integrate(expandableODE, t);
// extract results back from the stateful equations
System.arraycopy(expandableODE.getPrimaryState(), 0, y, 0, y.length);
return expandableODE.getTime();
}
Example #27
| Source File: GraggBulirschStoerIntegratorTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test(expected=NumberIsTooSmallException.class)
public void testNullIntervalCheck()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
TestProblem1 pb = new TestProblem1();
GraggBulirschStoerIntegrator integrator =
new GraggBulirschStoerIntegrator(0.0, 1.0, 1.0e-10, 1.0e-10);
integrator.integrate(pb,
0.0, new double[pb.getDimension()],
0.0, new double[pb.getDimension()]);
}
Example #28
| Source File: AdamsBashforthIntegratorTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@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]);
}
Example #29
| Source File: StepNormalizerOutputTestBase.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testIncLastRev()
throws DimensionMismatchException, NumberIsTooSmallException,
MaxCountExceededException, NoBracketingException {
double[] exp = getArray(getExpIncRev(), getO()[5][0], getO()[5][1]);
doTest(StepNormalizerMode.INCREMENT, StepNormalizerBounds.LAST, exp, true);
}
Example #30
| Source File: FirstOrderConverterTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testSmallStep()
throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {
double error = integrateWithSpecifiedStep(4.0, 0.0, 1.0, 1.0e-4)
- FastMath.sin(4.0);
Assert.assertTrue(FastMath.abs(error) < 1.0e-10);
}
