Hi Greg,

On Mon, 22 Mar 2010 15:47:54 -0700 (PDT)
G B <g.c.b.at.w...@gmail.com> wrote:

> Burcin--
> 
> Now that I've managed to divide the discussion between two groups, I
> should try to help organize the mess I made.
> 
> Ondrej mentioned in the sage-support discussion that he's opened
> ticket 8564.  Unfortunately I don't understand the plumbing well
> enough to know if 8564 and 8565 are addressing the same or different
> problems.  As you mention, Sage seems to import atan2 from GiNaC.
> 8564 looks to be improving the import of the functionality from Sympy.

They are unrelated issues.

> From a user perspective, it would be best if the default flavor worked
> without needing to learn the unique syntax of a sub-package, but
> beggars can't be choosers.  =)

Yep, we really need to fix the atan2 in Sage.

> I'm happy to try and help if given some guidance.  I'm a reasonably
> capable programmer, but I'm completely unfamiliar with Sage and a
> touch intimidated by the complexity of it.

I can help with the first steps. Although the fix doesn't seem so
obvious to me (I don't have time to start debugging properly), it should
still be a good project to start with.

The code for evaluating atan2 lives in the c++ library pynac [1], which
is based on GiNaC.

[1] http://pynac.sagemath.org/

There are two approaches to fix this problem,

 - one can either look into the "automatic evaluation" [2, 3] function
   of atan2 in GiNaC [4],

[2] http://www.ginac.de/tutorial/Symbolic-functions.html
[3] http://www.ginac.de/tutorial/Automatic-evaluation.html
[4]
http://pynac.sagemath.org/hg/file/9ff767fb0c18/ginac/inifcns_trans.cpp#l971

   You can also just report the problem to the GiNaC developers by
   writing to the ginac-list mailing list:

http://www.ginac.de/Lists.html

 - or override the automatic evaluation function with a python function
   (I implemented this recently in pynac.) by defining an _eval_()
   method in the class sage.functions.trig.Function_arctan2.


If you choose to fix the c++ code here is a short guide to get started
with pynac development:

http://wiki.sagemath.org/pynac/start


Feel free to ask more questions. Especially the symbolics subsystem and
the pynac interface really needs documentation. I find that answering
questions is way easier than writing manuals.

Thank you.

Burcin

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