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#!/usr/bin/env python3 | |
import sys | |
from random import random | |
def single_trial(): | |
""" | |
Generate a random 2 dimensional point between (0, 0) and (1, 1) | |
and returns weather the distance to the origin is less than 1 | |
|^^-- , + (1, 1) | |
| \_ False | |
| \ | |
| True \ | |
| | | |
|______________| | |
(0, 0) | |
""" | |
x, y = random(), random() | |
return x**2 + y**2 < 1 | |
def pi_approximation(n_trials): | |
# run n trials | |
count = sum(single_trial() for _ in range(n_trials)) | |
# count / n_trials ~= pi/4 => pi ~= 4*count/n_trials | |
return 4.0 * count / n_trials | |
def main() | |
if len(sys.argv) < 2: # check if a command line argument is passed | |
# if not, use the default | |
n_trials = 1000000 | |
print("Using the default of {} trials".format(n_trials)) | |
else: | |
# get the command line argument | |
n_trials = int(sys.argv[1]) | |
print(pi_approximation(n_trials)) | |
if __name__ == '__main__': | |
main() |
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