#13589: Controlling C3 to solve once for all the Method Resolution Order issues 
for
category classes
----------------------------------------------------------+-----------------
       Reporter:  nthiery                                 |         Owner:  
nthiery                   
           Type:  defect                                  |        Status:  
needs_review              
       Priority:  major                                   |     Milestone:  
sage-5.10                 
      Component:  categories                              |    Resolution:      
                      
       Keywords:  method resolution order, C3             |   Work issues:      
                      
Report Upstream:  N/A                                     |     Reviewers:  
Simon King, Florent Hivert
        Authors:  Nicolas M. ThiƩry                       |     Merged in:      
                      
   Dependencies:  #13501, #12894, #12876, #11935, #12895  |      Stopgaps:      
                      
----------------------------------------------------------+-----------------

Comment (by nthiery):

 Hi Simon!

 It turns out that I had just fooled myself because of a typo in the test.
 Even for this example, the number of bases to be added *does* depend on
 the linear extension.

 So all is good, the python/cython implementations agree.

 The updated patch:

 - fixes the typos you mentionned
 - reworks a bit the text to make it clearer that the code implements an
 optimized "add bases" trick which does not have the drawbacks of the brute
 force approach.
 - fixes the incorrect doctest, and gather some stats on the number of
 bases to be added for each linear extension
 - mentions the removed doctests, and the rationale for removing them, in
 the patch header

 There remains to decide between a lazy attribute or a cached method for
 _cmp_key. Any idea on how to investigate the startup time welcome.

 Cheers,
                             Nicolas

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13589#comment:26>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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