Caclculate pi by random numbers

calc_pi.py

# Calculate pi by random numbers between 0 and 1
# @autor Lukáš Plevač <xpleva07@vutbr.cz> (BUT FIT)
# @date 1.6.2021
# CC0 license - No Rights Reserved.

import random
import math

##
# Calculate distance between point and [0,0]
# @param point - array with x and y of point
# @return float distance
def distance_from_0(point):
    return math.sqrt(point[0] ** 2 + point[1] ** 2)

##
# Calculate pi using random between 0 and 1
# @param n_points - number of random points for calculation
# @return float number near to pi number
def calc_pi(n_points = 500):
    
    # number of points in cirlce
    points_in = 0

    for _ in range(n_points):
        point = [random.uniform(0,1), random.uniform(0,1)]

        if distance_from_0(point) <= 1:
            points_in += 1

    return points_in / n_points * 4


## test it
print(calc_pi(9999999)) # 3.1416787141678713
# Maximal error is 1 / sqrt(n_points) => Error 0.0003162277818282274