Examples of EXPM1

org.apache.commons.math3.analysis.function.Expm1
e^x-1 function. @since 3.0
org.apache.pig.piggybank.evaluation.math.EXPM1
math.EXPM1 implements a binding to the Java function {@link java.lang.Math#expm1(double) Math.expm1(double)}. Given a single data atom it returns exp(input)+1

Parameters:

value - DataAtom [double].

Return Value:

DataAtom [double]

Return Schema:

expm1_inputSchema

Example:

register math.jar; A = load 'mydata' using PigStorage() as ( float1 ); B = foreach A generate float1, math.expm1(float1);

@see Math#expm1(double) @see @author ajay garg

Examples of org.apache.commons.math3.analysis.function.Expm1

    }


    @Override
    protected UnivariateFunction[] createFunctions() {
        return new UnivariateFunction[] {
            new Power(2.0), new Exp(), new Expm1(),
            new Log1p(), new Cosh(), new Sinh(), new Tanh(), new Cos(),
            new Sin(), new Tan(), new Acos(), new Asin(), new Atan(),
            new Abs(), new Sqrt(), new Cbrt(), new Ceil(),
            new Floor(), new Rint(), new Signum()
        };

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Examples of org.apache.commons.math3.analysis.function.Expm1

     * In fact, if not for the bisection alternative, the solver would
     * exceed the default maximal iteration of 100.
     */
    @Test
    public void testExpm1Function() {
        UnivariateFunction f = new Expm1();
        UnivariateSolver solver = new MullerSolver();
        double min, max, expected, result, tolerance;


        min = -1.0; max = 2.0; expected = 0.0;
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),

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Examples of org.apache.commons.math3.analysis.function.Expm1

    /**
     * Test of solver for the exponential function.
     */
    @Test
    public void testExpm1Function() {
        UnivariateFunction f = new Expm1();
        UnivariateSolver 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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Examples of org.apache.commons.math3.analysis.function.Expm1

     * <p>
     * It takes 25 to 50 iterations for the last two tests to converge.
     */
    @Test
    public void testExpm1Function() {
        UnivariateFunction f = new Expm1();
        UnivariateSolver solver = new MullerSolver2();
        double min, max, expected, result, tolerance;


        min = -1.0; max = 2.0; expected = 0.0;
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),

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Examples of org.apache.commons.math3.analysis.function.Expm1

     * <p>
     * |expm1^(n)(zeta)| <= e, zeta in [-1, 1]
     */
    @Test
    public void testExpm1Function() {
        UnivariateFunction f = new Expm1();
        UnivariateInterpolator interpolator = new NevilleInterpolator();
        double x[], y[], z, expected, result, tolerance;


        // 5 interpolating points on interval [-1, 1]
        int n = 5;
        double min = -1.0, max = 1.0;
        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 = FastMath.E;
        UnivariateFunction p = interpolator.interpolate(x, y);


        z = 0.0; expected = f.value(z); result = p.value(z);
        tolerance = FastMath.abs(derivativebound * partialerror(x, z));
        Assert.assertEquals(expected, result, tolerance);


        z = 0.5; expected = f.value(z); result = p.value(z);
        tolerance = FastMath.abs(derivativebound * partialerror(x, z));
        Assert.assertEquals(expected, result, tolerance);


        z = -0.5; expected = f.value(z); result = p.value(z);
        tolerance = FastMath.abs(derivativebound * partialerror(x, z));
        Assert.assertEquals(expected, result, tolerance);
    }

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Examples of org.apache.commons.math3.analysis.function.Expm1

     * <p>
     * |expm1^(n)(zeta)| <= e, zeta in [-1, 1]
     */
    @Test
    public void testExpm1Function() {
        UnivariateFunction f = new Expm1();
        UnivariateInterpolator interpolator = new DividedDifferenceInterpolator();
        double x[], y[], z, expected, result, tolerance;


        // 5 interpolating points on interval [-1, 1]
        int n = 5;
        double min = -1.0, max = 1.0;
        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 = FastMath.E;
        UnivariateFunction p = interpolator.interpolate(x, y);


        z = 0.0; expected = f.value(z); result = p.value(z);
        tolerance = FastMath.abs(derivativebound * partialerror(x, z));
        Assert.assertEquals(expected, result, tolerance);


        z = 0.5; expected = f.value(z); result = p.value(z);
        tolerance = FastMath.abs(derivativebound * partialerror(x, z));
        Assert.assertEquals(expected, result, tolerance);


        z = -0.5; expected = f.value(z); result = p.value(z);
        tolerance = FastMath.abs(derivativebound * partialerror(x, z));
        Assert.assertEquals(expected, result, tolerance);
    }

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Examples of org.apache.commons.math3.analysis.function.Expm1

    }


    @Override
    protected UnivariateFunction[] createFunctions() {
        return new UnivariateFunction[] {
            new Power(2.0), new Exp(), new Expm1(),
            new Log1p(), new Cosh(), new Sinh(), new Tanh(), new Cos(),
            new Sin(), new Tan(), new Acos(), new Asin(), new Atan(),
            new Abs(), new Sqrt(), new Cbrt(), new Ceil(),
            new Floor(), new Rint(), new Signum()
        };

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Examples of org.apache.commons.math3.analysis.function.Expm1

        TestUtils.assertEquals(f.getClass().getSimpleName(), expected, actual, 1E-16);
    }


    protected UnivariateFunction[] createFunctions() {
        return new UnivariateFunction[] {
            new Power(2.0), new Exp(), new Expm1(), new Log(), new Log10(),
            new Log1p(), new Cosh(), new Sinh(), new Tanh(), new Cos(),
            new Sin(), new Tan(), new Acos(), new Asin(), new Atan(),
            new Inverse(), new Abs(), new Sqrt(), new Cbrt(), new Ceil(),
            new Floor(), new Rint(), new Signum(), new Ulp()
        };

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Examples of org.apache.commons.math3.analysis.function.Expm1

        TestUtils.assertEquals(f.getClass().getSimpleName(), expected, actual, 1E-16);
    }


    private UnivariateFunction[] createFunctions() {
        return new UnivariateFunction[] {
            new Power(2.0), new Exp(), new Expm1(), new Log(), new Log10(),
            new Log1p(), new Cosh(), new Sinh(), new Tanh(), new Cos(),
            new Sin(), new Tan(), new Acos(), new Asin(), new Atan(),
            new Inverse(), new Abs(), new Sqrt(), new Cbrt(), new Ceil(),
            new Floor(), new Rint(), new Signum(), new Ulp()
        };

View Full Code Here

Examples of org.apache.commons.math3.analysis.function.Expm1

     * In fact, if not for the bisection alternative, the solver would
     * exceed the default maximal iteration of 100.
     */
    @Test
    public void testExpm1Function() {
        UnivariateFunction f = new Expm1();
        UnivariateSolver solver = new MullerSolver();
        double min, max, expected, result, tolerance;


        min = -1.0; max = 2.0; expected = 0.0;
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),

View Full Code Here

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