Homework: Static Methods

  1. Implement (i.e., provide the code for the body of) the static method declared as follows: 
    /**
 * Checks whether the given point (xCoord, yCoord) is inside the circle of
 * radius 1.0 centered at the point (1.0, 1.0).
 * 
 * @param xCoord
 *            the x coordinate of the point
 * @param yCoord
 *            the y coordinate of the point
 * @return true if the point is inside the circle, false otherwise
 */
private static boolean pointIsInCircle(double xCoord, double yCoord) {
    ...
}
  2. Implement the static method declared as follows: 
    /**
 * Generates n pseudo-random points in the [0.0,2.0) x [0.0,2.0) square and
 * returns the number that fall in the circle of radius 1.0 centered at
 * the point (1.0, 1.0).
 * 
 * @param n
 *            the number of points to generate
 * @return the number of points that fall in the circle
 */
private static int numberOfPointsInCircle(int n) {
    ...
}

    Note: Use pointIsInCircle in the implementation of numberOfPointsInCircle.

  3. Rewrite the main method in your solution to the Monte Carlo estimation of π lab so that it uses numberOfPointsInCircle (and indirectly pointIsInCircle).