Package org.apache.commons.math.analysis

Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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    public LegendreGaussIntegratorTest(String name) {
        super(name);
    }

    public void testSinFunction() throws MathException {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealIntegrator integrator = new LegendreGaussIntegrator(5, 64);
        integrator.setAbsoluteAccuracy(1.0e-10);
        integrator.setRelativeAccuracy(1.0e-14);
        integrator.setMinimalIterationCount(2);
        integrator.setMaximalIterationCount(15);
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        result = integrator.integrate(f, min, max);
        assertEquals(expected, result, tolerance);
    }

    public void testQuinticFunction() throws MathException {
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealIntegrator integrator = new LegendreGaussIntegrator(3, 64);
        double min, max, expected, result;

        min = 0; max = 1; expected = -1.0/48;
        result = integrator.integrate(f, min, max);
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    k[k.length - 1] = n - lastJ;

    // now verify probabilities by comparing to integral of pdf
    UnivariateRealIntegrator integrator = new RombergIntegrator();
    for (int i = 0; i < xs.length - 1; i++) {
      double delta = integrator.integrate(new UnivariateRealFunction() {
        public double value(double v) {
          return dist.pdf(v);
        }
      }, xs[i], xs[i + 1]);
      Assert.assertEquals(delta, p[i + 1], 1.0e-6);
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            optimum = Double.NaN;
            valueAtOptimum = Double.NaN;

            try {
                final int n = p.length;
                final UnivariateRealFunction f = new UnivariateRealFunction() {
                        public double value(double alpha)
                            throws FunctionEvaluationException {

                            final double[] x = new double[n];
                            for (int i = 0; i < n; i++) {
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                for (final double di : searchDirection) {
                    dTd += di * di;
                }

                // find the optimal step in the search direction
                final UnivariateRealFunction lsf = new LineSearchFunction(searchDirection);
                final double step = solver.solve(lsf, 0, findUpperBound(lsf, 0, initialStep));

                // validate new point
                for (int i = 0; i < point.length; ++i) {
                    point[i] += step * searchDirection[i];
 
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    }

    public void testMap() throws Exception {
        double[] vec1Squared = { 1d, 4d, 9d, 16d, 25d };
        RealVector v = new TestVectorImpl(vec1.clone());
        RealVector w = v.map(new UnivariateRealFunction() { public double value(double x) { return x * x; } });
        assertEquals(vec1Squared, w.getData());
    }
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*/
public final class BisectionSolverTest extends TestCase {

    @Deprecated
    public void testDeprecated() throws MathException {
        UnivariateRealFunction f = new SinFunction();
        double result;

        UnivariateRealSolver solver = new BisectionSolver(f);
        result = solver.solve(3, 4);
        assertEquals(result, FastMath.PI, solver.getAbsoluteAccuracy());
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        result = solver.solve(1, 4);
        assertEquals(result, FastMath.PI, solver.getAbsoluteAccuracy());
    }

    public void testSinZero() throws MathException {
        UnivariateRealFunction f = new SinFunction();
        double result;

        UnivariateRealSolver solver = new BisectionSolver();
        result = solver.solve(f, 3, 4);
        assertEquals(result, FastMath.PI, solver.getAbsoluteAccuracy());
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        result = solver.solve(f, 1, 4);
        assertEquals(result, FastMath.PI, solver.getAbsoluteAccuracy());
    }

   public void testQuinticZero() throws MathException {
        UnivariateRealFunction f = new QuinticFunction();
        double result;

        UnivariateRealSolver solver = new BisectionSolver();
        result = solver.solve(f, -0.2, 0.2);
        assertEquals(result, 0, solver.getAbsoluteAccuracy());
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        assertEquals(result, solver.getResult(), 0);
        assertTrue(solver.getIterationCount() > 0);
    }

    public void testMath369() throws Exception {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealSolver solver = new BisectionSolver();
        assertEquals(FastMath.PI, solver.solve(f, 3.0, 3.2, 3.1), solver.getAbsoluteAccuracy());
    }
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