#!/usr/bin/python
#
# Berechnen von Pi
#

MAX_STEPS = 1e7

step = 1.0 / MAX_STEPS
sum = 0.0

x = 0.0
while x <= 1.0:
    y = (1.0 - x*x) ** 0.5

    sum = sum + y
    x = x + step

estimate = 4.0 * sum / MAX_STEPS

print 'Abschaetzung fuer pi nach', MAX_STEPS, 'Schritten:', estimate