#18610: Bug: Circular Descent Check in WeylGroups
------------------------------------------------+------------------------
       Reporter:  nathanwilliams                |        Owner:
           Type:  defect                        |       Status:  new
       Priority:  major                         |    Milestone:  sage-6.8
      Component:  combinatorics                 |   Resolution:
       Keywords:  sagedays64.5,coxeter,descent  |    Merged in:
        Authors:  Nathan Williams               |    Reviewers:
Report Upstream:  N/A                           |  Work issues:
         Branch:                                |       Commit:
   Dependencies:                                |     Stopgaps:
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Comment (by tscrim):

 This is because the Weyl group element implements `has_descent`, which is
 the standard entry point, and the default implementations do the following
 call structure:
 {{{
 has_descent -> has_left_descent <-> has_right_descent
 }}}
 since I think most code calls `has_descent` and gives the shortest path
 function call path if someone only implements `has_left_descent`. So the
 solution would be to explicitly have `has_left_descent(i)` call
 `has_descent(i, side='left')`.

--
Ticket URL: <http://trac.sagemath.org/ticket/18610#comment:2>
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