给定圆的半径和圆心的位置,实现函数 randPoint ,在圆中产生均匀随机点。
实现 Solution 类:
Solution(double radius, double x_center, double y_center) 用圆的半径 radius 和圆心的位置 (x_center, y_center) 初始化对象
 randPoint() 返回圆内的一个随机点。圆周上的一点被认为在圆内。答案作为数组返回 [x, y] 。
示例 1:
输入:
 [“Solution”,“randPoint”,“randPoint”,“randPoint”]
 [[1.0, 0.0, 0.0], [], [], []]
 输出: [null, [-0.02493, -0.38077], [0.82314, 0.38945], [0.36572, 0.17248]]
 解释:
 Solution solution = new Solution(1.0, 0.0, 0.0);
 solution.randPoint ();//返回[-0.02493,-0.38077]
 solution.randPoint ();//返回[0.82314,0.38945]
 solution.randPoint ();//返回[0.36572,0.17248]
提示:
0 < radius <= 10^8
 -10^7 <= x_center, y_center <= 10^7
 randPoint 最多被调用 3 * 10^4 次
java代码:
class Solution {
    Random random;
    double xc, yc, r;
    public Solution(double radius, double x_center, double y_center) {
        random = new Random();
        xc = x_center;
        yc = y_center;
        r = radius;
    }
    
    public double[] randPoint() {
        double u = random.nextDouble();
        double theta = random.nextDouble() * 2 * Math.PI;
        double r = Math.sqrt(u);
        return new double[]{xc + r * Math.cos(theta) * this.r, yc + r * Math.sin(theta) * this.r};
    }
}                










