#10963: More functorial constructions
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:  stumpc5
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.1
      Component:  categories         |   Resolution:
       Keywords:  days54             |    Merged in:
        Authors:  Nicolas M. Thiéry  |    Reviewers:  Simon King, Frédéric
Report Upstream:  N/A                |  Chapoton
         Branch:                     |  Work issues:  Detect and fix
  public/ticket/10963                |  Heisenbugs
   Dependencies:  #11224, #8327,     |       Commit:
  #10193, #12895, #14516, #14722,    |  5ccf253b17c151d8e773037ac634a64f84f03075
  #13589, #14471, #15069, #15094,    |     Stopgaps:
  #11688, #13394, #15150, #15506     |
-------------------------------------+-------------------------------------

Comment (by SimonKing):

 I tried to trace how often the lazy class attribute
 `_base_category_class_and_axiom` is called for each class. Note that (as a
 lazy attribute) it should be called only once!! This is how often it is
 called:
 {{{
  sage.categories.finite_semigroups.FiniteSemigroups: 76,
  sage.categories.sets_cat.Sets.Infinite: 1,
  sage.categories.commutative_rings.CommutativeRings: 82,
 
sage.categories.distributive_magmas_and_additive_magmas.AdditiveAssociative.AdditiveCommutative:
 1,
 
sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative:
 1,
  sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative: 1,
  sage.categories.additive_magmas.AdditiveUnital.AdditiveInverse: 1,
  sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital: 1,
 
sage.categories.distributive_magmas_and_additive_magmas.AdditiveCommutative.AdditiveUnital:
 1,
  sage.categories.magmas.Magmas.Commutative: 1,
 
sage.categories.distributive_magmas_and_additive_magmas.AdditiveUnital.Associative:
 1,
  sage.categories.magmas.Unital.Inverse: 1,
  sage.categories.magmas.Magmas.Unital: 1,
 
sage.categories.distributive_magmas_and_additive_magmas.AdditiveUnital.AdditiveInverse:
 1,
  sage.categories.commutative_algebras.CommutativeAlgebras: 81,
  sage.categories.finite_fields.FiniteFields: 82,
  sage.categories.finite_enumerated_sets.FiniteEnumeratedSets: 82,
  sage.categories.finite_monoids.FiniteMonoids: 76,
  sage.categories.finite_sets.FiniteSets: 79,
  sage.categories.unital_algebras.UnitalAlgebras.WithBasis: 1,
  sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets: 81
 }}}

 That's bad.

--
Ticket URL: <http://trac.sagemath.org/ticket/10963#comment:251>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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