#11935: Make parent/element classes independent of base rings
---------------------------+------------------------------------------------
   Reporter:  SimonKing    |          Owner:  nthiery                           
   
       Type:  enhancement  |         Status:  needs_review                      
   
   Priority:  major        |      Milestone:  sage-4.7.3                        
   
  Component:  categories   |       Keywords:  parent class, element class, 
category
Work_issues:               |       Upstream:  N/A                               
   
   Reviewer:               |         Author:  Simon King                        
   
     Merged:               |   Dependencies:  #11900                            
   
---------------------------+------------------------------------------------
Changes (by newvalueoldvalue):

  * status:  new => needs_review
  * author:  => Simon King


Comment:

 The patch that I just attached implements approach 2., hence, it uses the
 default pickling of dynamic classes. By consequence, the parent class of a
 category C will only depend on `C.ParentMethods` and on the parent classes
 of the super categories of C, but it will only depend on the base ring of
 C if the base ring changes the super categories (which holds for algebras,
 e.g.).

 Note the effect on the computation time for elliptic curves. With
 sage-4.7.2.alpha3 plus #11900, we have
 {{{
 sage: %time L = EllipticCurve('960d1').prove_BSD()
 CPU times: user 3.97 s, sys: 0.07 s, total: 4.04 s
 Wall time: 4.18 s
 }}}
 but with the new patch on top of it, we have
 {{{
 sage: %time L = EllipticCurve('960d1').prove_BSD()
 CPU times: user 3.11 s, sys: 0.06 s, total: 3.17 s
 Wall time: 3.31 s
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11935#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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