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 <= 108
-107 <= x_center, y_center <= 107
randPoint 最多被调用 3 * 104 次
class Solution {
double r, x, y;
Random random = new Random();
public Solution(double radius, double x_center, double y_center) {
r = radius; x = x_center; y = y_center;
}
public double[] randPoint() {
double len = Math.sqrt(random.nextDouble(r * r)), ang = random.nextDouble(2 * Math.PI);
double nx = x + len * Math.cos(ang), ny = y + len * Math.sin(ang);
return new double[]{nx, ny};
}
}
/**
* Your Solution object will be instantiated and called as such:
* Solution obj = new Solution(radius, x_center, y_center);
* double[] param_1 = obj.randPoint();
*/