#20484: Use the cythonized versions of has_descent, first_descent, descents for
reflection groups
---------------------------------+------------------------
       Reporter:  stumpc5        |        Owner:
           Type:  enhancement    |       Status:  new
       Priority:  major          |    Milestone:  sage-7.2
      Component:  combinatorics  |   Resolution:
       Keywords:                 |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
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Comment (by stumpc5):

 And also:
 {{{
 sage:W = ReflectionGroup(['A',7])
 sage: c = W.index_set(); Q = c + tuple(W.w0.coxeter_sorting_word(c))
 sage: %prun SC = SubwordComplex(Q,W.w0,algorithm="greedy")

          4605779 function calls (4605355 primitive calls) in 8.236 seconds

    Ordered by: internal time

    ncalls  tottime  percall  cumtime  percall filename:lineno(function)
    560742    1.870    0.000    4.946    0.000
 reflection_group_real.py:790(has_descent)
    560742    1.363    0.000    2.774    0.000
 coxeter_groups.py:717(has_right_descent)
    560770    1.321    0.000    1.412    0.000
 reflection_group_real.py:771(has_left_descent)
    178698    0.744    0.000    5.690    0.000
 coxeter_groups.py:763(first_descent)
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/20484#comment:2>
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