#17219: Automatically built catalogs
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   Reporter:  nthiery      |            Owner:
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-6.4
  Component:  categories   |         Keywords:
  Merged in:               |          Authors:
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 Sage's catalogs (of groups, monoids, algebras, crystals, ...) are very
 handy. However it takes quite some time to maintain them, and this won't
 scale in the long run: we would want to have similar catalogs for Hopf
 Algebras, rings, coxeter groups, ... with proper inclusions between the
 catalogs. A natural setting would be that of categories. Namely to be able
 to do something like:
 {{{
     sage: catalog = CoxeterGroups().catalog()
     sage: catalog.<tab>
     WeylGroup
     SymmetricGroup
     ...
 }}}

 The core feature is to be able to retrieve all the parents implemented in
 Sage that belong to a given category.

 Florent wrote a prototype of this during the Sage days in Edinburgh in
 January 2013. It instruments `TestSuite`, so that running the test suite
 builds a database of all parent implementations, with their default
 category. Then, from this category, it's easy to recover all parents in a
 category by reverse lookup.

--
Ticket URL: <http://trac.sagemath.org/ticket/17219>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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