Examples of Sin

functions.basic.Sin
@author true
org.apache.commons.math3.analysis.function.Sin
Sine function. @since 3.0
org.apache.pig.piggybank.evaluation.math.SIN
math.SIN implements a binding to the Java function {@link java.lang.Math#sin(double) Math.sin(double)}. Given a single data atom it Returns the sine of the argument.

Parameters:

value - DataAtom [double].

Return Value:

DataAtom [double]

Return Schema:

SIN_inputSchema

Example:

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

@see Math#sin(double) @see @author ajay garg
org.boris.expr.function.excel.SIN
org.jquantlib.math.functions.Sin
A sin(x) function @author Richard Gomes

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

    @Test
    public void testKeepInitIfBest() {
        final double minSin = 3 * Math.PI / 2;
        final double offset = 1e-8;
        final double delta = 1e-7;
        final UnivariateFunction f1 = new Sin();
        final UnivariateFunction f2 = new StepFunction(new double[] { minSin, minSin + offset, minSin + 2 * offset},
                                                       new double[] { 0, -1, 0 });
        final UnivariateFunction f = FunctionUtils.add(f1, f2);
        // A slightly less stringent tolerance would make the test pass
        // even with the previous implementation.

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

    @Test
    public void testMath855() {
        final double minSin = 3 * Math.PI / 2;
        final double offset = 1e-8;
        final double delta = 1e-7;
        final UnivariateFunction f1 = new Sin();
        final UnivariateFunction f2 = new StepFunction(new double[] { minSin, minSin + offset, minSin + 5 * offset },
                                                       new double[] { 0, -1, 0 });
        final UnivariateFunction f = FunctionUtils.add(f1, f2);
        final UnivariateOptimizer optimizer = new BrentOptimizer(1e-8, 1e-100);
        final UnivariatePointValuePair result

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

     * <p>
     * |sin^(n)(zeta)| <= 1.0, zeta in [0, 2*PI]
     */
    @Test
    public void testSinFunction() {
        UnivariateFunction f = new Sin();
        UnivariateInterpolator 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 * FastMath.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;
        UnivariateFunction p = interpolator.interpolate(x, y);


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


        z = FastMath.PI * 1.5; 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.Sin

     * <p>
     * |sin^(n)(zeta)| <= 1.0, zeta in [0, 2*PI]
     */
    @Test
    public void testSinFunction() {
        UnivariateFunction f = new Sin();
        UnivariateInterpolator interpolator = new DividedDifferenceInterpolator();
        double x[], y[], z, expected, result, tolerance;


        // 6 interpolating points on interval [0, 2*PI]
        int n = 6;
        double min = 0.0, max = 2 * FastMath.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;
        UnivariateFunction p = interpolator.interpolate(x, y);


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


        z = FastMath.PI * 1.5; 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.Sin

    /**
     * Test of integrator for the sine function.
     */
    @Test
    public void testSinFunction() {
        UnivariateFunction f = new Sin();
        UnivariateIntegrator integrator = new TrapezoidIntegrator();
        double min, max, expected, result, tolerance;


        min = 0; max = FastMath.PI; expected = 2;
        tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());

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

    /**
     * Test of parameters for the integrator.
     */
    @Test
    public void testParameters() {
        UnivariateFunction f = new Sin();


        try {
            // bad interval
            new TrapezoidIntegrator().integrate(1000, f, 1, -1);
            Assert.fail("Expecting NumberIsTooLargeException - bad interval");

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

    /**
     * Test of integrator for the sine function.
     */
    @Test
    public void testSinFunction() {
        UnivariateFunction f = new Sin();
        UnivariateIntegrator integrator = new SimpsonIntegrator();
        double min, max, expected, result, tolerance;


        min = 0; max = FastMath.PI; expected = 2;
        tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());

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

    /**
     * Test of parameters for the integrator.
     */
    @Test
    public void testParameters() {
        UnivariateFunction f = new Sin();
        try {
            // bad interval
            new SimpsonIntegrator().integrate(1000, f, 1, -1);
            Assert.fail("Expecting NumberIsTooLargeException - bad interval");
        } catch (NumberIsTooLargeException ex) {

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

    /**
     * Test of integrator for the sine function.
     */
    @Test
    public void testSinFunction() {
        UnivariateFunction f = new Sin();
        UnivariateIntegrator integrator = new RombergIntegrator();
        double min, max, expected, result, tolerance;


        min = 0; max = FastMath.PI; expected = 2;
        tolerance = FastMath.abs(expected * integrator.getRelativeAccuracy());

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

    /**
     * Test of parameters for the integrator.
     */
    @Test
    public void testParameters() {
        UnivariateFunction f = new Sin();


        try {
            // bad interval
            new RombergIntegrator().integrate(1000, f, 1, -1);
            Assert.fail("Expecting NumberIsTooLargeException - bad interval");

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