#11900: Serious regression caused by #9138
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   Reporter:  SimonKing                                                         
        |          Owner:  tbd                  
       Type:  defect                                                            
        |         Status:  needs_work           
   Priority:  critical                                                          
        |      Milestone:  sage-4.8             
  Component:  performance                                                       
        |       Keywords:  categories regression
Work_issues:  Laurent series rings are fields. Add docs. Don't use is_ring and 
friends  |       Upstream:  N/A                  
   Reviewer:  Jeroen Demeyer, Nicolas M. ThiƩry                                 
        |         Author:  Simon King           
     Merged:                                                                    
        |   Dependencies:  #9138 #11911         
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Comment(by SimonKing):

 Replying to [comment:127 nthiery]:
 > Replying to [comment:126 SimonKing]:
 > > > If we don't, shall the attempt to create a subclass of a subclass of
 Category_singleton result in an error?
 > >
 > > I think a big fat warning in the docs should be enough.
 >
 > +1. The above should be just explained.

 Meanwhile I think raising an error would not hurt. Namely, `__classcall__`
 can easily test whether the given class is anything that is not a direct
 subclass of Category_singleton. Hence, subclassing Rings will be illegal,
 and calling Category_singleton() will also be illegal. And moreover, this
 test would only happen ''once'', namely before creating the unique
 instance of the singleton. So, if will have no performance penalty for
 `%timeit Rings()`.

 > > I think we do want that enumerated sets form a singleton.
 >
 > +1. But we don't necessarily have to do it in this patch if this is
 inconvenient.

 OK. I am now testing a patch version where `EnumeratedSets` is the only
 singleton that is not implemented using `Category_singleton`.

 > Especially since the copy can easily be done with something like:
 > {{{
 > class DeBruijnSequences
 >     ...
 >
 >     _call_ = EnumeratedSets.__dict__['_call_']
 > }}}

 Can it use a method of one class for another class that is not a subclass?

 You are right that it should be a use case of category methods (IIRC these
 are methods that are inherited by subcategories).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11900#comment:128>
Sage <http://www.sagemath.org>
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