Package org.apache.commons.math.analysis

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

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    /**
     * Test of integrator for the quintic function.
     */
    public void testQuinticFunction() throws MathException {
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealIntegrator integrator = new TrapezoidIntegrator();
        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
    public void testQuinticMin() throws MathException {
        // The quintic function has zeros at 0, +-0.5 and +-1.
        // The function has extrema (first derivative is zero) at 0.27195613 and 0.82221643,
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealOptimizer underlying = new BrentOptimizer();
        JDKRandomGenerator g = new JDKRandomGenerator();
        g.setSeed(4312000053l);
        MultiStartUnivariateRealOptimizer minimizer =
            new MultiStartUnivariateRealOptimizer(underlying, 5, g);
        minimizer.setAbsoluteAccuracy(10 * minimizer.getAbsoluteAccuracy());
        minimizer.setRelativeAccuracy(10 * minimizer.getRelativeAccuracy());

        try {
            minimizer.getOptima();
            fail("an exception should have been thrown");
        } catch (IllegalStateException ise) {
            // expected
        } catch (Exception e) {
            fail("wrong exception caught");
        }
        try {
            minimizer.getOptimaValues();
            fail("an exception should have been thrown");
        } catch (IllegalStateException ise) {
            // expected
        } catch (Exception e) {
            fail("wrong exception caught");
        }

        assertEquals(-0.27195612846834, minimizer.optimize(f, GoalType.MINIMIZE, -0.3, -0.2), 1.0e-13);
        assertEquals(-0.27194301946870, minimizer.getResult(), 1.0e-13);
        assertEquals(-0.04433426940878, minimizer.getFunctionValue(), 1.0e-13);

        double[] optima = minimizer.getOptima();
        double[] optimaValues = minimizer.getOptimaValues();
        for (int i = 0; i < optima.length; ++i) {
            assertEquals(f.value(optima[i]), optimaValues[i], 1.0e-10);
        }

        assertTrue(minimizer.getEvaluations()    >= 510);
        assertTrue(minimizer.getEvaluations()    <= 530);
        assertTrue(minimizer.getIterationCount() >= 150);
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    @Test
    public void testQuinticMin() throws MathException {
        // The quintic function has zeros at 0, +-0.5 and +-1.
        // The function has extrema (first derivative is zero) at 0.27195613 and 0.82221643,
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealOptimizer minimizer = new BrentOptimizer();
        assertEquals(-0.27195613, minimizer.optimize(f, GoalType.MINIMIZE, -0.3, -0.2), 1.0e-8);
        assertEquals( 0.82221643, minimizer.optimize(f, GoalType.MINIMIZE,  0.3,  0.9), 1.0e-8);
        assertTrue(minimizer.getIterationCount() <= 50);
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    @Test
    public void testQuinticMax() throws MathException {
        // The quintic function has zeros at 0, +-0.5 and +-1.
        // The function has extrema (first derivative is zero) at 0.27195613 and 0.82221643,
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealOptimizer minimizer = new BrentOptimizer();
        assertEquals(0.27195613, minimizer.optimize(f, GoalType.MAXIMIZE, 0.2, 0.3), 1.0e-8);
        minimizer.setMaximalIterationCount(30);
        try {
            minimizer.optimize(f, GoalType.MAXIMIZE, 0.2, 0.3);
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    /**
     * Test of integrator for the quintic function.
     */
    public void testQuinticFunction() throws MathException {
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealIntegrator integrator = new TrapezoidIntegrator();
        double min, max, expected, result, tolerance;

        min = 0; max = 1; expected = -1.0/48;
        tolerance = Math.abs(expected * integrator.getRelativeAccuracy());
 
View Full Code Here
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    /**
     * Test of integrator for the quintic function.
     */
    public void testQuinticFunction() throws MathException {
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealIntegrator integrator = new SimpsonIntegrator();
        double min, max, expected, result, tolerance;

        min = 0; max = 1; expected = -1.0/48;
        tolerance = Math.abs(expected * integrator.getRelativeAccuracy());
 
View Full Code Here
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    /**
     * Test of integrator for the quintic function.
     */
    public void testQuinticFunction() throws MathException {
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealIntegrator integrator = new RombergIntegrator();
        double min, max, expected, result, tolerance;

        min = 0; max = 1; expected = -1.0/48;
        tolerance = Math.abs(expected * integrator.getRelativeAccuracy());
 
View Full Code Here
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        result = solver.solve(f, 1, 4);
        assertEquals(result, Math.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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        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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    /**
     * Test of solver for the quintic function.
     */
    public void testQuinticFunction() throws MathException {
        UnivariateRealFunction f = new QuinticFunction();
        UnivariateRealSolver solver = new RiddersSolver();
        double min, max, expected, result, tolerance;

        min = -0.4; max = 0.2; expected = 0.0;
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
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Related Classes of org.apache.commons.math.analysis.QuinticFunction

  • org.apache.commons.math.analysis.integration.LegendreGaussIntegratorTest
  • org.apache.commons.math.analysis.integration.RombergIntegratorTest
  • org.apache.commons.math.analysis.integration.SimpsonIntegratorTest
  • org.apache.commons.math.analysis.integration.TrapezoidIntegratorTest
  • org.apache.commons.math.analysis.solvers.BisectionSolverTest
  • org.apache.commons.math.analysis.solvers.BrentSolverTest
  • org.apache.commons.math.analysis.solvers.MullerSolverTest
  • org.apache.commons.math.analysis.solvers.NewtonSolverTest
  • org.apache.commons.math.analysis.solvers.RiddersSolverTest
  • org.apache.commons.math.optimization.MultiStartUnivariateRealOptimizerTest
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