[Edu-sig] followup to older post... re Pi generator

kirby urner kirby.urner at gmail.com
Tue Sep 29 17:46:49 CEST 2015

I'm still interested in finding more bibliographic sources for this one,
not necessarily in Python syntax i.e. did Euler come up with this or who?

def pi_digits():

    k, a, b, a1, b1 = 2, 4, 1, 12, 4
    while True:
        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:
            yield int(d)
            a, a1 = 10*(a%b), 10*(a1%b1)
            d, d1 = a/b, a1/b1

[  http://mail.python.org/pipermail/edu-sig/2012-December/010728.html ]

>>> pi = pi_digits()
>>> "".join([str(next(pi)) for i in range(100)]))

... so far what we know is some high school student handed it in for

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