Examples of QuinticFunction

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

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    /**
     *
     */
    @Test
    public void testQuinticZero() {
        final UnivariateDifferentiableFunction q = new QuinticFunction();
        DifferentiableUnivariateFunction f = new DifferentiableUnivariateFunction() {

            public double value(double x) {
                return q.value(x);
            }

            public UnivariateFunction derivative() {
                return new UnivariateFunction() {
                    public double value(double x) {
                        return q.value(new DerivativeStructure(1, 1, 0, x)).getPartialDerivative(1);
                    }
                };
            }

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

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        Assert.assertEquals(result, FastMath.PI, solver.getAbsoluteAccuracy());
    }

    @Test
    public void testQuinticZero() {
        UnivariateFunction f = new QuinticFunction();
        double result;

        BisectionSolver solver = new BisectionSolver();
        result = solver.solve(100, f, -0.2, 0.2);
        Assert.assertEquals(result, 0, solver.getAbsoluteAccuracy());
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Examples of org.apache.commons.math3.analysis.QuinticFunction

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

        min = -0.4; max = 0.2; expected = 0.0;
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),
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Examples of org.apache.commons.math3.analysis.QuinticFunction

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    /**
     * Test of solver for the quintic function.
     */
    @Test
    public void testQuinticFunction() {
        UnivariateFunction f = new QuinticFunction();
        UnivariateSolver solver = new MullerSolver2();
        double min, max, expected, result, tolerance;

        min = -0.4; max = 0.2; expected = 0.0;
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),
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Examples of org.apache.commons.math3.analysis.QuinticFunction

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        // of zero a 0.
        // The other roots are less well to find, in particular the root at 1, because
        // the function grows fast for x>1.
        // The function has extrema (first derivative is zero) at 0.27195613 and 0.82221643,
        // intervals containing these values are harder for the solvers.
        UnivariateFunction f = new QuinticFunction();
        double result;
        // Brent-Dekker solver.
        UnivariateSolver solver = new BrentSolver();
        // Symmetric bracket around 0. Test whether solvers can handle hitting
        // the root in the first iteration.
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Examples of org.apache.commons.math3.analysis.QuinticFunction

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        }
    }

    @Test
    public void testInitialGuess() {
        MonitoredFunction f = new MonitoredFunction(new QuinticFunction());
        BrentSolver solver = new BrentSolver();
        double result;

        // no guess
        result = solver.solve(100, f, 0.6, 7.0);
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Examples of org.apache.commons.math3.analysis.QuinticFunction

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

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

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    @Test
    public void testQuinticMax() {
        // The quintic function has zeros at 0, +-0.5 and +-1.
        // The function has a local maximum at 0.27195613.
        UnivariateFunction f = new QuinticFunction();
        UnivariateOptimizer optimizer = new BrentOptimizer(1e-12, 1e-14);
        Assert.assertEquals(0.27195613, optimizer.optimize(100, f, GoalType.MAXIMIZE, 0.2, 0.3).getPoint(), 1e-8);
        try {
            optimizer.optimize(5, f, GoalType.MAXIMIZE, 0.2, 0.3);
            Assert.fail("an exception should have been thrown");
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Examples of org.apache.commons.math3.analysis.QuinticFunction

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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(new MaxEval(200),
                                                            new UnivariateObjectiveFunction(f),
                                                            GoalType.MINIMIZE,
                                                            new SearchInterval(-0.3, -0.2)).getPoint(), 1.0e-8);
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