pi.py

'''
Copyright (©) 2021 Kiet Pham <kiet.riley2005@gmail.com>
This software/program has a copyright license, more information is in the 'LICENSE' file
IF YOU WANT TO USE/COPY/MODIFY/REPRODUCE/RE-DISTRIBUTE THIS PROGRAM, YOU MUST INCLUDE A COPY OF THE LICENSE

Author Name: Kiet Pham
Author Contact: kiet.riley2005@gmail.com
Discord: CaptainVietnam6#7932
Discord Server: https://discord.gg/3z76p8H5yj
GitHub: https://github.com/CaptainVietnam6
Instagram: @itz_kietttttttttt
Program Status: ACTIVE, FINALISED
'''

DIGITS = int(input("Enter how many digits of pi you want: "))

def pi_digits(x):
    """Generate x digits of Pi."""
    k,a,b,a1,b1 = 2,4,1,12,4
    while x > 0:
        p,q,k = k * k, 2 * k + 1, k + 1
        a,b,a1,b1 = a1, b1, p*a + q*a1, p*b + q*b1
        d,d1 = a/b, a1/b1
        while d == d1 and x > 0:
            yield int(d)
            x -= 1
            a,a1 = 10*(a % b), 10*(a1 % b1)
            d,d1 = a/b, a1/b1

digits = [str(n) for n in list(pi_digits(DIGITS))]
print("%s.%s\n" % (digits.pop(0), "".join(digits)))