Random Point Generator in a Circle

Mr. Schrodinger needs to generate points that are uniformly distributed inside a specific circle for testing his hypothesis. Your task is to implement a function that generates random points evenly distributed within the given circle.

Example:

Input:

The first line contains an integer 'T' which indicates the number of test cases.
Each test case consists of one line containing three space-separated integers 'X', 'Y', 'R' denoting the coordinates of the circle's center and its radius.

Output:

For each test case, return 1 if the points are correctly uniformly distributed, otherwise 0.

Constraints:

1 ≤ T ≤ 5

-10^9 ≤ X, Y ≤ 10^9

1 ≤ R ≤ 10^9

Note: A point on the circle's circumference is considered inside the circle. You do not need to handle input or output; those aspects are managed for you. Focus on implementing the function.

Question

Random Point Generator in a Circle

Mr. Schrodinger needs to generate points that are uniformly distributed inside a specific circle for testing his hypothesis. Your task is to implement a function that generates random points evenly distributed within the given circle.

Example:

Input:

The first line contains an integer 'T' which indicates the number of test cases.
 Each test case consists of one line containing three space-separated integers 'X', 'Y', 'R' denoting the coordinates of the circle's center and its radius.

Output:

For each test case, return 1 if the points are correctly uniformly distributed, otherwise 0.

Constraints:

1 ≤ T ≤ 5
-10^9 ≤ X, Y ≤ 10^9
1 ≤ R ≤ 10^9

Note: A point on the circle's circumference is considered inside the circle. You do not need to handle input or output; those aspects are managed for you. Focus on implementing the function.

Accepted Answer

Implement a function to generate random points uniformly distributed inside a circle.

Generate random points using polar coordinates
Ensure points fall within the circle by checking if distance from center is less than or equal to radius
Check if points are uniformly distributed by running statistical tests
Return 1 if points are uniformly distributed, else return 0