Alexey Kirov Alexey Kirov - 18 days ago 5
Python Question

Python script for Leibniz number row

So, first of all, I am really new to this thing, so keep that in mind =)

I am trying to write simple script in Python 2.7 for calculating Pi. I am interested in Leibniz formula:

π = (4/1) - (4/3) + (4/5) - (4/7) + (4/9) - (4/11) + (4/13) - (4/15) ...

So I consider "(4/1) - (4/3)" as X, and 1-3-5 as y, y+2, y+4....

I wrote this peace of script:

def pi():
p = 0.0
y = 1.0
x = 4.0/y - 4.0/(y+2.0)
for i in range(10000):
p = p + x
y += 4.0
print p

pi()


Aaaaand, it isn't working well.
Why?

Answer

This one works:

def pi():
    p = 0.0
    y = 3.0
    x = 4.0 - 4/y
    for i in range(5000):
        y += 2
        x = x + 4/y
        y += 2
        x = x - 4/y
        print x

pi()
Comments