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#! /usr/bin/env python
# Print digits of pi forever.
#
# The algorithm, using Python's 'long' integers ("bignums"), works
# with continued fractions, and was conceived by Lambert Meertens.
#
# See also the ABC Programmer's Handbook, by Geurts, Meertens & Pemberton,
# published by Prentice-Hall (UK) Ltd., 1990.
import sys
from mpz import mpz
def main():
mpzone, mpztwo, mpzten = mpz(1), mpz(2), mpz(10)
k, a, b, a1, b1 = mpz(2), mpz(4), mpz(1), mpz(12), mpz(4)
while 1:
# Next approximation
p, q, k = k*k, mpztwo*k+mpzone, k+mpzone
a, b, a1, b1 = a1, b1, p*a+q*a1, p*b+q*b1
# Print common digits
d, d1 = a/b, a1/b1
while d == d1:
output(d)
a, a1 = mpzten*(a%b), mpzten*(a1%b1)
d, d1 = a/b, a1/b1
def output(d):
# Use write() to avoid spaces between the digits
# Use int(d) to avoid a trailing L after each digit
sys.stdout.write(repr(int(d)))
# Flush so the output is seen immediately
sys.stdout.flush()
main()
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