#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-5.11                 
      Component:  categories                              |    Resolution:      
                      
       Keywords:  method resolution order, C3             |   Work issues:      
                      
Report Upstream:  N/A                                     |     Reviewers:  
Simon King, Florent Hivert
        Authors:  Nicolas M. Thiéry                       |     Merged in:      
                      
   Dependencies:  #12894, #12876, #11935, #12895, #10193  |      Stopgaps:      
                      
----------------------------------------------------------+-----------------

Comment (by SimonKing):

 I did some timings. My benchmark is: Delete and recreated
 `Rings()._cmp_key` in a tight loop.

 With only the first two patches, I get:
 {{{
 sage: C = Rings()
 sage: C._cmp_key
 (6016, 12)
 sage: timeit("if C._cmp_key: del C._cmp_key", number=100000)
 100000 loops, best of 3: 12.9 µs per loop
 sage: C._cmp_key
 (6016, 300059)
 }}}

 With all four patches, I get:
 {{{
 sage: C = Rings()
 sage: C._cmp_key
 (6016, 12)
 sage: timeit("if C._cmp_key: del C._cmp_key", number=100000)
 100000 loops, best of 3: 901 ns per loop
 sage: C._cmp_key
 (6016, 300059)
 }}}

 Since the time needed to delete the attribute should be the same, it
 follows that the last two patches save 12 µs for each creation of the
 _cmp_key attribute. Better than nothing, but by far not enough to sum up
 to 70 ms.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13589#comment:59>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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