#10519: analytic combinatorics: new code for computing asymptotics for 
multivariate
generating functions
------------------------------+---------------------------------------------
   Reporter:  araichev        |          Owner:  sage-combinat                  
                                       
       Type:  enhancement     |         Status:  needs_work                     
                                       
   Priority:  major           |      Milestone:  sage-5.0                       
                                       
  Component:  combinatorics   |       Keywords:  analytic combinatorics, 
multivariate generating functions, asymptotics
Work_issues:                  |       Upstream:  N/A                            
                                       
   Reviewer:  David Loeffler  |         Author:  Alex Raichev                   
                                       
     Merged:                  |   Dependencies:                                 
                                       
------------------------------+---------------------------------------------
Changes (by davidloeffler):

  * status:  needs_review => needs_work
  * reviewer:  => David Loeffler


Comment:

 Apply trac_10519-fixed.patch

 (for the patchbot).

 Alex's last "patch" wasn't a patch at all, just a Mercurial header with
 some Python code arbitrarily pasted into it. I've just uploaded a non-
 broken version of the patch. I also added the necessary import statements
 -- a file that's supposed to be part of the Sage library can't import the
 Sage library (with {{{from all_cmdline import *}}}), since that would lead
 to an infinite loop, so the necessary imports have to be done one-by-one.

 The patch now passes doctests on my machine, but there are some worrying
 errors that came up when I ran a syntax checker on the new file:
 {{{amgf.py:908: local variable 'R' is assigned to but never used
 amgf.py:909: local variable 'd' is assigned to but never used
 amgf.py:1070: local variable 'Ht' is assigned to but never used
 amgf.py:1251: local variable 'Ht' is assigned to but never used
 amgf.py:1591: undefined name 'n'
 amgf.py:2199: local variable 'H' is assigned to but never used
 amgf.py:2242: undefined name 'verdict'
 }}}
 The "undefined name" errors tend to suggest that some cases have bugs in
 them, *and* those cases are not checked in any doctest, which is a double
 whammy. Hence "needs work".

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10519#comment:22>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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