#14516: Refactoring of crystals for speedup
-----------------------------+----------------------------------------------
   Reporter:  tscrim         |             Owner:  sage-combinat   
       Type:  enhancement    |            Status:  new             
   Priority:  major          |         Milestone:  sage-5.10       
  Component:  combinatorics  |          Keywords:  crystals speedup
Work issues:                 |   Report Upstream:  N/A             
  Reviewers:                 |           Authors:  Travis Scrimshaw
  Merged in:                 |      Dependencies:  #14402 #2023    
   Stopgaps:                 |  
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 In order to speed up many of the crystals computations, I'm proposing the
 following:

 - Cythonize `CrystalOfLetters`
 - Instead of e, f, epsilon, phi checking the index set each time, these
 functions will check to make sure i is in the index set, then call _e, _f,
 _epsilon, _phi which assume i is valid input and respectively call the
 private methods.
 - Make index_set a cached method. Subsequently this requires it to be
 returned as a tuple instead of a list

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14516>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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