[sage-support] Strange behavior with RealField(n)

[Thierry Dumont]

I have students who want to compute decimals of pi...so, what can we do 
with RealField(n) ?
I make the following script (pi.sage):

------------------------
for p in [2..10]:
    R=RealField(10^p)
    pii=4*atan(R(1))
    print p,R,pii
------------------------
Then, using sage 7.0 or 7.1.beta4:

attach("pi.sage")

This produces a lot of seemingly correct output, but, as it takes a too 
long time to finish :-), I interrupt the computation (Ctrl-c).

So, lets try again; replace 10 by 5 in the for statement (I do not leave 
sage). I get NaNs:


2 Real Field with 100 bits of precision NaN
3 Real Field with 1000 bits of precision NaN
4 Real Field with 10000 bits of precision NaN
5 Real Field with 100000 bits of precision NaN
.....

Strange.

Yours
t.d.


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