#15456: fix bug in has_right/left_descents in Weyl group code
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       Reporter:         |        Owner:
  zabrocki               |       Status:  needs_review
           Type:         |    Milestone:  sage-6.2
  defect                 |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  combinatorics          |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  549f238c87e446116457d645c2b0171b423c02df
  Frédéric Chapoton      |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  u/chapoton/15456       |
   Dependencies:         |
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Comment (by sdenton):

 tscrim: That's what WAS happening, but if you instantiate an abstract Weyl
 Group or Coxeter Group it leads to an infinite loop, which is a bug.  What
 we need is a NotImplemented error if neither side is implemented, and the
 appropriate call to the implemented 'side' if one side or the other is
 concretely implemented but not the other.

 I see two possible ways forward:
 1) The default Coxeter/Weyl Group 'has_x_descent' methods just give a
 NotImplemented error, pushing it to the person creating a concrete
 realization to actually implement them correctly and not give an infinite
 loop, or
 2) Introduce some kind of '_is_implemented' flags for checking left and
 right descent, which are false by default, and set to true if there's a
 concrete implementation on one side that the other can use.  Then if it's
 true, we call the other side, and otherwise raise a NotImplemented error.

 Option 2 seems doable but introduces an Obscure Thing for the implementers
 of Coxeter groups to keep track of.  As such, I would advocate for Option
 1.

--
Ticket URL: <http://trac.sagemath.org/ticket/15456#comment:10>
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