478. Generate Random Point in a Circle

Given the radius and x-y positions of the center of a circle, write a function randPoint which generates a uniform
random point in the circle.

Note:

  input and output values are in floating-point.
  radius and x-y position of the center of the circle is passed into the class constructor.
  a point on the circumference of the circle is considered to be in the circle.
  randPoint returns a size 2 array containing x-position and y-position of the random point, in that order.

Example 1:

Input:
["Solution","randPoint","randPoint","randPoint"]
[[1,0,0],[],[],[]]
Output: [null,[-0.72939,-0.65505],[-0.78502,-0.28626],[-0.83119,-0.19803]]

Example 2:

Input:
["Solution","randPoint","randPoint","randPoint"]
[[10,5,-7.5],[],[],[]]
Output: [null,[11.52438,-8.33273],[2.46992,-16.21705],[11.13430,-12.42337]]
  • Give up illegal data points

class Solution {
    double r, xc, yc;
    Random random = new Random();
    public Solution(double radius, double x_center, double y_center) {
        r = radius;
        xc = x_center;
        yc = y_center;
    }

    public double[] randPoint() {
        while(true) {
            double x = random.nextDouble() * r * 2 - r;
            double y = random.nextDouble() * r * 2 - r;
            if(x * x + y * y <= r * r) {
                return new double[]{xc + x, yc + y};
            }
        }
    }
}