Package org.apache.commons.math.analysis

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 = FastMath.PI;
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),
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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 = FastMath.PI;
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),
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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 = FastMath.max(solver.getAbsoluteAccuracy(),
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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 = FastMath.max(solver.getAbsoluteAccuracy(),
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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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    @Deprecated
    public void testDeprecated() throws MathException {
        // The sinus function is behaved well around the root at #pi. The second
        // order derivative is zero, which means linar approximating methods will
        // still converge quadratically.
        UnivariateRealFunction f = new SinFunction();
        double result;
        UnivariateRealSolver solver = new BrentSolver(f);
        // Somewhat benign interval. The function is monotone.
        result = solver.solve(3, 4);
        //System.out.println(
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    public void testSinZero() throws MathException {
        // The sinus function is behaved well around the root at #pi. The second
        // order derivative is zero, which means linar approximating methods will
        // still converge quadratically.
        UnivariateRealFunction f = new SinFunction();
        double result;
        UnivariateRealSolver solver = new BrentSolver();
        // Somewhat benign interval. The function is monotone.
        result = solver.solve(f, 3, 4);
        //System.out.println(
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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.
        UnivariateRealFunction f = new QuinticFunction();
        double result;
        // Brent-Dekker solver.
        UnivariateRealSolver solver = new BrentSolver();
        // Symmetric bracket around 0. Test whether solvers can handle hitting
        // the root in the first iteration.
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        result = UnivariateRealSolverUtils.solve(f, 0.85, 5);
        assertEquals(result, 1.0, 1E-6);
    }

    public void testRootEndpoints() throws Exception {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealSolver solver = new BrentSolver();

        // endpoint is root
        double result = solver.solve(f, FastMath.PI, 4);
        assertEquals(FastMath.PI, result, solver.getAbsoluteAccuracy());
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        assertEquals(FastMath.PI, result, solver.getAbsoluteAccuracy());

    }

    public void testBadEndpoints() throws Exception {
        UnivariateRealFunction f = new SinFunction();
        UnivariateRealSolver solver = new BrentSolver();
        try {  // bad interval
            solver.solve(f, 1, -1);
            fail("Expecting IllegalArgumentException - bad interval");
        } catch (IllegalArgumentException ex) {
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