Examples of UnivariateRealFunction

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

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    }

    public void testValues() throws Exception {
        PolynomialSplineFunction spline =
            new PolynomialSplineFunction(knots, polynomials);
        UnivariateRealFunction dSpline = spline.derivative();

        /**
         * interior points -- spline value at x should equal p(x - knot)
         * where knot is the largest knot point less than or equal to x and p
         * is the polynomial defined over the knot segment to which x belongs.
         */
        double x = -1;
        int index = 0;
        for (int i = 0; i < 10; i++) {
           x+=0.25;
           index = findKnot(knots, x);
           assertEquals("spline function evaluation failed for x=" + x,
                   polynomials[index].value(x - knots[index]), spline.value(x), tolerance);
           assertEquals("spline derivative evaluation failed for x=" + x,
                   dp.value(x - knots[index]), dSpline.value(x), tolerance);
        }

        // knot points -- centering should zero arguments
        for (int i = 0; i < 3; i++) {
            assertEquals("spline function evaluation failed for knot=" + knots[i],
                    polynomials[i].value(0), spline.value(knots[i]), tolerance);
            assertEquals("spline function evaluation failed for knot=" + knots[i],
                    dp.value(0), dSpline.value(knots[i]), tolerance);
        }

        try { //outside of domain -- under min
            x = spline.value(-1.5);
            fail("Expecting IllegalArgumentException");
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Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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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, Math.PI, solver.getAbsoluteAccuracy());
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Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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        result = solver.solve(1, 4);
        assertEquals(result, Math.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, Math.PI, solver.getAbsoluteAccuracy());
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Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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

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    /**
     * Test the deprecated APIs.
     */
    @Deprecated
    public void testDeprecated() throws MathException {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealSolver solver = new RiddersSolver(f);
        double min, max, expected, result, tolerance;

        min = 3.0; max = 4.0; expected = Math.PI;
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
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Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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    /**
     * Test of solver for the sine function.
     */
    public void testSinFunction() throws MathException {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealSolver solver = new RiddersSolver();
        double min, max, expected, result, tolerance;

        min = 3.0; max = 4.0; expected = Math.PI;
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
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Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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

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    /**
     * Test of solver for the exponential function.
     */
    public void testExpm1Function() throws MathException {
        UnivariateRealFunction f = new Expm1Function();
        UnivariateRealSolver solver = new RiddersSolver();
        double min, max, expected, result, tolerance;

        min = -1.0; max = 2.0; expected = 0.0;
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
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Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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    /**
     * Test of parameters for the solver.
     */
    public void testParameters() throws Exception {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealSolver solver = new RiddersSolver();

        try {
            // bad interval
            solver.solve(f, 1, -1);
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Examples of org.apache.commons.math.analysis.UnivariateRealFunction

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     * Test of interpolator for the sine function.
     * <p>
     * |sin^(n)(zeta)| <= 1.0, zeta in [0, 2*PI]
     */
    public void testSinFunction() throws MathException {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealInterpolator interpolator = new NevilleInterpolator();
        double x[], y[], z, expected, result, tolerance;

        // 6 interpolating points on interval [0, 2*PI]
        int n = 6;
        double min = 0.0, max = 2 * Math.PI;
        x = new double[n];
        y = new double[n];
        for (int i = 0; i < n; i++) {
            x[i] = min + i * (max - min) / n;
            y[i] = f.value(x[i]);
        }
        double derivativebound = 1.0;
        UnivariateRealFunction p = interpolator.interpolate(x, y);

        z = Math.PI / 4; expected = f.value(z); result = p.value(z);
        tolerance = Math.abs(derivativebound * partialerror(x, z));
        assertEquals(expected, result, tolerance);

        z = Math.PI * 1.5; expected = f.value(z); result = p.value(z);
        tolerance = Math.abs(derivativebound * partialerror(x, z));
        assertEquals(expected, result, tolerance);
    }
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