Package org.apache.commons.math3.analysis

Examples of org.apache.commons.math3.analysis.QuinticFunction

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    /**
     * Test of integrator for the quintic function.
     */
    @Test
    public void testQuinticFunction() {
        UnivariateFunction f = new QuinticFunction();
        UnivariateIntegrator integrator = new RombergIntegrator();
        double min, max, expected, result, tolerance;

        min = 0; max = 1; expected = -1.0/48;
        tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());
 
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    /**
     * Test of integrator for the sine function.
     */
    @Test
    public void testLowAccuracy() {
        UnivariateFunction f = new QuinticFunction();
        UnivariateIntegrator integrator = new MidPointIntegrator(0.01, 1.0e-10, 2, 4);
       
        double min = -10;
        double max =  -9;
        double expected = -3697001.0 / 48.0;
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    /**
     * Test of integrator for the quintic function.
     */
    @Test
    public void testQuinticFunction() {
        UnivariateFunction f = new QuinticFunction();
        UnivariateIntegrator integrator = new MidPointIntegrator();

        double min = 0;
        double max = 1;
        double expected = -1.0 / 48;
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        UnivariateSolverUtils.bracket(sin, 1.5, 0, 2.0, 0);
    }

    @Test
    public void testMisc() {
        UnivariateFunction f = new QuinticFunction();
        double result;
        // Static solve method
        result = UnivariateSolverUtils.solve(f, -0.2, 0.2);
        Assert.assertEquals(result, 0, 1E-8);
        result = UnivariateSolverUtils.solve(f, -0.1, 0.3);
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    /**
     * Test of integrator for the sine function.
     */
    @Test
    public void testLowAccuracy() {
        UnivariateFunction f = new QuinticFunction();
        UnivariateIntegrator integrator = new MidPointIntegrator(0.01, 1.0e-10, 2, 4);
       
        double min = -10;
        double max =  -9;
        double expected = -3697001.0 / 48.0;
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    /**
     * Test of integrator for the quintic function.
     */
    @Test
    public void testQuinticFunction() {
        UnivariateFunction f = new QuinticFunction();
        UnivariateIntegrator integrator = new MidPointIntegrator();

        double min = 0;
        double max = 1;
        double expected = -1.0 / 48;
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        Assert.assertEquals(expected, result, tolerance);
    }

    @Test
    public void testQuinticFunction() {
        UnivariateFunction f = new QuinticFunction();
        UnivariateIntegrator integrator =
                new IterativeLegendreGaussIntegrator(3,
                                                     BaseAbstractUnivariateIntegrator.DEFAULT_RELATIVE_ACCURACY,
                                                     BaseAbstractUnivariateIntegrator.DEFAULT_ABSOLUTE_ACCURACY,
                                                     BaseAbstractUnivariateIntegrator.DEFAULT_MIN_ITERATIONS_COUNT,
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        }
    }

    @Test
    public void testStepSizeUnstability() {
        UnivariateDifferentiableFunction quintic = new QuinticFunction();
        UnivariateDifferentiableFunction goodStep =
                new FiniteDifferencesDifferentiator(7, 0.25).differentiate(quintic);
        UnivariateDifferentiableFunction badStep =
                new FiniteDifferencesDifferentiator(7, 1.0e-6).differentiate(quintic);
        double[] maxErrorGood = new double[7];
        double[] maxErrorBad  = new double[7];
        for (double x = -10; x < 10; x += 0.1) {
            DerivativeStructure dsX  = new DerivativeStructure(1, 6, 0, x);
            DerivativeStructure yRef  = quintic.value(dsX);
            DerivativeStructure yGood = goodStep.value(dsX);
            DerivativeStructure yBad  = badStep.value(dsX);
            for (int order = 0; order <= 6; ++order) {
                maxErrorGood[order] = FastMath.max(maxErrorGood[order],
                                                   FastMath.abs(yRef.getPartialDerivative(order) -
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    }

    @Test
    public void testQuinticMin() {
        // The function has local minima at -0.27195613 and 0.82221643.
        UnivariateFunction f = new QuinticFunction();
        UnivariateOptimizer optimizer = new BrentOptimizer(1e-10, 1e-14);
        Assert.assertEquals(-0.27195613, optimizer.optimize(200, f, GoalType.MINIMIZE, -0.3, -0.2).getPoint(), 1.0e-8);
        Assert.assertEquals( 0.82221643, optimizer.optimize(200, f, GoalType.MINIMIZE,  0.3,  0.9).getPoint(), 1.0e-8);
        Assert.assertTrue(optimizer.getEvaluations() <= 50);
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    }

    @Test
    public void testQuinticMinStatistics() {
        // The function has local minima at -0.27195613 and 0.82221643.
        UnivariateFunction f = new QuinticFunction();
        UnivariateOptimizer optimizer = new BrentOptimizer(1e-11, 1e-14);

        final DescriptiveStatistics[] stat = new DescriptiveStatistics[2];
        for (int i = 0; i < stat.length; i++) {
            stat[i] = new DescriptiveStatistics();
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Related Classes of org.apache.commons.math3.analysis.QuinticFunction

  • org.apache.commons.math3.analysis.differentiation.DerivativeStructure
  • org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction
  • org.apache.commons.math3.analysis.function.HarmonicOscillator
  • org.apache.commons.math3.analysis.function.Sin
  • org.apache.commons.math3.analysis.function.Sinc
  • org.apache.commons.math3.analysis.integration.IterativeLegendreGaussIntegratorTest
  • org.apache.commons.math3.analysis.integration.LegendreGaussIntegratorTest
  • org.apache.commons.math3.analysis.integration.MidPointIntegratorTest
  • org.apache.commons.math3.analysis.integration.RombergIntegratorTest
  • org.apache.commons.math3.analysis.integration.SimpsonIntegratorTest
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