Example usage for java.lang Math cos

Introduction

In this page you can find the example usage for java.lang Math cos.

Prototype

@HotSpotIntrinsicCandidate
public static double cos(double a) 

Source Link

Document

Returns the trigonometric cosine of an angle.

Usage

From source file:com.cloudmade.api.Utils.java

/**
 * Convert latitude, longitude pair to tile coordinates
 * /*from  ww  w  .j a  v a 2s. c  om*/
 * @param latitude
 * @param longitude
 * @param zoom
 * @return Tile coordinates [x, y]
 */
public static final int[] latlon2tilenums(double latitude, double longitude, int zoom) {
    int factor = 1 << (zoom - 1);
    latitude = Math.toRadians(latitude);
    longitude = Math.toRadians(longitude);
    double xtile = 1 + longitude / Math.PI;
    double ytile = 1 - Math.log(Math.tan(latitude) + (1 / Math.cos(latitude))) / Math.PI;
    return new int[] { (int) (xtile * factor), (int) (ytile * factor) };
}

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From source file:Main.java

/**
 * Given two angles in degrees, determine the smallest angle between them.
 *
 * For example, given angles 90 and 170, the smallest angle difference would be 80
 * and the larger angle difference would be 280.
 *
 * @param firstAngleDeg/*from   w  w  w . j  a  v  a 2  s . c o m*/
 * @param secondAngleDeg
 * @return smallest angle
 */
public static double smallestAngularDifferenceDegrees(double firstAngleDeg, double secondAngleDeg) {
    double rawDiffDeg = firstAngleDeg - secondAngleDeg;
    double rawDiffRad = rawDiffDeg * Math.PI / 180;
    double wrappedDiffRad = Math.atan2(Math.sin(rawDiffRad), Math.cos(rawDiffRad));
    double wrappedDiffDeg = wrappedDiffRad * 180 / Math.PI;

    return wrappedDiffDeg;
}

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From source file:edu.ucsf.valelab.saim.calculations.SaimCalc.java

/**
 * Calculates the phase difference as a function of height as described in:
 * Paszek, M.J., C.C. DuFort, M.G. Rubashkin, M.W. Davidson, K.S. Thorn, J.T. 
 * Liphardt, and V.M. Weaver. 2012. // www.  ja v a 2s. c o  m
 * Scanning angle interference microscopy reveals cell dynamics at the nanoscale. 
 * Nat Meth. 9:825827. doi:10.1038/nmeth.2077.
 *
 * @param wavelength of the excitation light source in nm
 * @param nSample refractive index of the sample medium
 * @param angle Angle with respect to the normal in the sample in radians
 * @param axialPos Position in the sample above the silicon oxide (in nm)
 * @return phase difference (dimensionless)
 */
public static double PhaseDiff(final double wavelength, final double angle, final double nSample,
        final double axialPos) {
    return 4.0 * Math.PI * nSample * axialPos * Math.cos(angle) / wavelength;
}

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From source file:com.mapr.synth.drive.GeoPoint.java

public GeoPoint(double latitude, double longitude) {
    double c = Math.cos(latitude);
    r = new Vector3D(Math.cos(longitude) * c, Math.sin(longitude) * c, Math.sin(latitude));
}

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From source file:de.termininistic.serein.examples.benchmarks.functions.multimodal.GriewankFunction.java

@Override
public double map(RealVector v) {
    double[] x = v.toArray();
    double sum = 0.0;
    double prod = 1.0;
    for (int i = 0; i < x.length; i++) {
        sum += x[i] * x[i] / 4000;/*  w w w  . jav a 2 s .  c o  m*/
        prod *= Math.cos(x[i] / Math.sqrt(i + 1));
    }
    return sum - prod + 1;
}

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From source file:de.termininistic.serein.examples.benchmarks.functions.multimodal.AckleyFunction.java

@Override
public double map(RealVector v) {
    double[] x = v.toArray();
    int n = x.length;
    double sum1 = 0.0, sum2 = 0.0;

    for (int i = 0; i < n; i++) {
        sum1 += x[i] * x[i];/*from w  w w .j a  v a 2 s  .  co m*/
        sum2 += Math.cos(2 * Math.PI * x[i]);
    }
    double fx = -20 * Math.exp(-0.2 * Math.sqrt(sum1 / n)) - Math.exp(sum2 / n) + 20 + Math.E;
    return fx;
}

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From source file:Clock.java

public void paint(Graphics g) {
    int xhour, yhour, xminute, yminute, xsecond, ysecond, second, minute, hour;
    drawStructure(g);/*from   w ww.  j av a2s. c  o  m*/

    currentDate = new Date();

    formatter.applyPattern("s");
    second = Integer.parseInt(formatter.format(currentDate));
    formatter.applyPattern("m");
    minute = Integer.parseInt(formatter.format(currentDate));

    formatter.applyPattern("h");
    hour = Integer.parseInt(formatter.format(currentDate));

    xsecond = (int) (Math.cos(second * 3.14f / 30 - 3.14f / 2) * 45 + xcenter);
    ysecond = (int) (Math.sin(second * 3.14f / 30 - 3.14f / 2) * 45 + ycenter);
    xminute = (int) (Math.cos(minute * 3.14f / 30 - 3.14f / 2) * 40 + xcenter);
    yminute = (int) (Math.sin(minute * 3.14f / 30 - 3.14f / 2) * 40 + ycenter);
    xhour = (int) (Math.cos((hour * 30 + minute / 2) * 3.14f / 180 - 3.14f / 2) * 30 + xcenter);
    yhour = (int) (Math.sin((hour * 30 + minute / 2) * 3.14f / 180 - 3.14f / 2) * 30 + ycenter);

    // Erase if necessary, and redraw
    g.setColor(Color.lightGray);
    if (xsecond != lastxs || ysecond != lastys) {
        g.drawLine(xcenter, ycenter, lastxs, lastys);
    }
    if (xminute != lastxm || yminute != lastym) {
        g.drawLine(xcenter, ycenter - 1, lastxm, lastym);
        g.drawLine(xcenter - 1, ycenter, lastxm, lastym);
    }
    if (xhour != lastxh || yhour != lastyh) {
        g.drawLine(xcenter, ycenter - 1, lastxh, lastyh);
        g.drawLine(xcenter - 1, ycenter, lastxh, lastyh);
    }

    g.setColor(Color.darkGray);
    g.drawLine(xcenter, ycenter, xsecond, ysecond);

    g.setColor(Color.red);
    g.drawLine(xcenter, ycenter - 1, xminute, yminute);
    g.drawLine(xcenter - 1, ycenter, xminute, yminute);
    g.drawLine(xcenter, ycenter - 1, xhour, yhour);
    g.drawLine(xcenter - 1, ycenter, xhour, yhour);
    lastxs = xsecond;
    lastys = ysecond;
    lastxm = xminute;
    lastym = yminute;
    lastxh = xhour;
    lastyh = yhour;
}

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From source file:Main.java

private static float transformAngle(Matrix m, float angleRadians) {
    // Construct and transform a vector oriented at the specified clockwise
    // angle from vertical.  Coordinate system: down is increasing Y, right is
    // increasing X.
    float[] v = new float[2];
    v[0] = (float) Math.sin(angleRadians);
    v[1] = (float) -Math.cos(angleRadians);
    m.mapVectors(v);//from   www . j  av a  2s. com

    // Derive the transformed vector's clockwise angle from vertical.
    float result = (float) Math.atan2(v[0], -v[1]);
    if (result < -Math.PI / 2) {
        result += Math.PI;
    } else if (result > Math.PI / 2) {
        result -= Math.PI;
    }
    return result;
}

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From source file:com.offbynull.peernetic.debug.visualizer.VisualizerUtils.java

/**
 * Creates point on a circle./* w  ww . j ava 2  s  .  com*/
 * @param radius radius of circle
 * @param percentage 0 to 1 percentage of where point is on circle -- 0.0 indicates that the point is at the top middle
 * @return new point on circle specified by {@code radius} and {@code percentage}
 * @throws IllegalArgumentException if {@code radius} is negative or a special double value (e.g. NaN/infinite/etc..), or if
 * {@code percentage} isn't between {@code 0.0 - 1.0}
 */
public static Point pointOnCircle(double radius, double percentage) {
    Validate.inclusiveBetween(0.0, Double.MAX_VALUE, radius);
    Validate.inclusiveBetween(0.0, 1.0, percentage);
    double angle = percentage * Math.PI * 2.0;
    angle -= Math.PI / 2.0; // adjust so that percentage 0.0 is at top middle, if not it'ld be at middle right

    double y = (Math.sin(angle) * radius) + radius; // NOPMD
    double x = (Math.cos(angle) * radius) + radius; // NOPMD

    return new Point((int) x, (int) y);
}

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From source file:fsm.series.Series_SS.java

@Override
public double getFirstDerivativeValue(double y, int m) {
    return Math.cos(m * Math.PI * y / a) * m * Math.PI / a;
}

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