On Saturday, September 15, 2012 8:10:11 PM UTC-4, Rafael wrote:
>
> Hello,
>
> I am encountering an error when checking numerically the imaginary period
> of the Jacobi sn function:
>
> sage: u=1.2
> sage: m=0.5
> sage: jacobi('sn',u,m)
> 0.887715488619
> sage: jacobi('sn',u+2*I*elliptic_kc(1-m),m)
> jacobi_sn(1.2 + 3.7081493546*I, 0.500000000000000)
> sage: n(jacobi('sn',u+2*I*elliptic_kc(1-m),m))
> WARNING: Output truncated!
> <html><a target='_new' href='/home/admin/0/cells/61/full_output.txt'
> class='file_link'>full_output.txt</a></html>
>
>
> The result should be the same as for jacobi('sn',u,m).
>
There are two problems here, actually. One is that we return something we
can't really evaluate with this "jacobi_sn" - such a function is not
defined in Sage, only the jacobi('sn', ...) The other is the one you
comment on. It managed to completely drain my Sage instance - I had to
close the terminal!
I don't have access to a Maxima instance right now - can someone try to
recreate this there? My guess is that it's there, since MaximaFunction
would use stuff
at
http://hg.sagemath.org/sage-main/file/d06cf4b2215d/sage/functions/special.py#l485
to do this. Maybe
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