#18194: Speedup of calculation of Macdonald H and Ht bases
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       Reporter:  zabrocki           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.7
      Component:  combinatorics      |   Resolution:
       Keywords:  sf, days67, sage-  |    Merged in:
  combinat                           |    Reviewers:  Travis Scrimshaw
        Authors:  Mike Zabrocki      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  59394c6119e33ab5faa37ff4538643ab64f724b8
  public/combinat/mac_speedup-18194  |     Stopgaps:
   Dependencies:                     |
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Comment (by zabrocki):

 The major speed enhancement here is mathematical (the formula for
 computing the Macdonald symmetric functions).  If you want to tune it up I
 can see we might get a few seconds here and there.  Here are the places I
 can see algorithmic improvements:

 * `cmunu`, `cmunu1` and `Bmu` are a cached functions.  Are there
 improvements to be gained from using a global dictionary cache rather than
 a `@cached_function`?
 * carefully look at `_self_to_m`.  That would be my main concern where
 efficiency gains are to be had.  This function uses `_Lmunu` and this is
 the coefficient of the monomial symmetric function in a Macdonald
 symmetric function.

--
Ticket URL: <http://trac.sagemath.org/ticket/18194#comment:37>
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