Pi-With-Python

Calculating Pi with Python.

I guess you could call it "Pithon" 😆.

What does it do?

Well it calculates Pi with Python .

How does it do it?

This program utilizes 3 algorithms for calculating pi in order to demostrate the strengths and weaknesses of all 3.

Bailey–Borwein–Plouffe formula	Bellard’s formula	Chudnovsky algorithm
Link	Link	Link

Bailey–Borwein–Plouffe formula:

def plouffBig(n):
    pi = Decimal(0)
    k = 0
    while k < n:
        pi += (Decimal(1)/(16**k))*((Decimal(4)/(8*k+1))-(Decimal(2)/(8*k+4))-(Decimal(1)/(8*k+5))-(Decimal(1)/(8*k+6)))
        k += 1

Bellard’s formula

def bellardBig(n):
    pi = Decimal(0)
    k = 0
    while k < n:
        pi += (Decimal(-1)**k/(1024**k))*( Decimal(256)/(10*k+1) + Decimal(1)/(10*k+9) - Decimal(64)/(10*k+3) - Decimal(32)/(4*k+1) - Decimal(4)/(10*k+5) - Decimal(4)/(10*k+7) -Decimal(1)/(4*k+3))
        k += 1
    pi = pi * 1/(2**6)

Chudnovsky algorithm

def chudnovskyBig(n):
    pi = Decimal(0)
    k = 0
    while k < n:
        pi += (Decimal(-1)**k)*(Decimal(factorial(6*k))/((factorial(k)**3)*(factorial(3*k)))* (13591409+545140134*k)/(640320**(3*k)))
        k += 1
    pi = pi * Decimal(10005).sqrt()/4270934400
    pi = pi**(-1)