#11900: Serious regression caused by #9138
------------------------------+---------------------------------------------
   Reporter:  SimonKing       |          Owner:  tbd                  
       Type:  defect          |         Status:  needs_work           
   Priority:  critical        |      Milestone:  sage-4.8             
  Component:  performance     |       Keywords:  categories regression
Work_issues:                  |       Upstream:  N/A                  
   Reviewer:  Jeroen Demeyer  |         Author:  Simon King           
     Merged:                  |   Dependencies:  #9138 #11911         
------------------------------+---------------------------------------------

Comment(by SimonKing):

 Replying to [comment:96 nthiery]:
 > The change was motivated by the fact that, in may important cases,
 ``X.is_field()``
 > is much faster than ``X in Fields()``:
 > ...
 > Hopefully, with that patch or some variant thereof, the changes ``X in
 > Fields()`` -> ``X.is_field()`` in trac11900_category_speedup.patch can
 > be reverted while still solving the original regression.

 I hope so! I think that the following makes sense: We change here the
 `__contains__` method for `Rings()`, because that is what is needed most.
 The change shall be: Instead of creating the list of all super categories
 and then searching `Rings()` in that list, one should test whether the
 parent class of is a subclass of the parent class of `Rings()`. In
 particular, this can be put into Cython, where IIRC subclass checks are
 much faster than in Python.

 On the long run, we could think of making subclass check of parent_class
 the default way of testing is_subcategory (this is one of the things we
 had discusses). Of course, when sharing parent classes (as in #11935),
 this has to be weakened.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11900#comment:97>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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