#11943: The category graph should comply with Python's method resolution order
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |          Owner:  nthiery                           
     
       Type:  enhancement  |         Status:  needs_review                      
     
   Priority:  major        |      Milestone:  sage-4.7.3                        
     
  Component:  categories   |       Keywords:  category graph, method resolution 
order
Work_issues:               |       Upstream:  N/A                               
     
   Reviewer:               |         Author:  Simon King                        
     
     Merged:               |   Dependencies:  #11900                            
     
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Comment(by SimonKing):

 I tried to track down the regression of `all_super_categories`. Recall
 that my patch from #11900 did improve the implementation of
 `all_super_categories`, but did not change the algorithm.

 With #11900, the main work is done in `_all_super_categories_raw`. With
 the patch from here, the work is done in `c3_algorithm` - and according to
 %prun, ''less'' time is spent in `c3_algorithm` than it was in
 `_all_super_categories_raw`. However, more time is spent in the expression
 {{{
 C.all_super_categories() for C in self.super_categories()
 }}}
 I guess I have to improve the implementation of the recursion.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11943#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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