#13461: Another WeylCharacterRing speedup
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   Reporter:  bump                        |             Owner:  bump       
       Type:  enhancement                 |            Status:  new        
   Priority:  major                       |         Milestone:  sage-5.4   
  Component:  combinatorics               |          Keywords:             
Work issues:  needs testing and tweaking  |   Report Upstream:  N/A        
  Reviewers:                              |           Authors:  Daniel Bump
  Merged in:                              |      Dependencies:             
   Stopgaps:                              |  
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 After the patch, if a WeylCharacterRing is created with style="coroots",
 characters are computed using not the Freudenthal multiplicity formula,
 but
 rather the Demazure character formula. This can be done using only integer
 addition and subtraction. If we run {{{sage -t --long
 weyl_characters.py}}},
 it is more than twice as fast (26 seconds versus 69 seconds) as
 previously.
 If we omit {{{--long}}} it is slightly slower, so there is a speedup for
 big computations and a slight penalty for small ones.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13461>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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