#13982: rewrite sage.combinat.combinat.unordered_tuples using
itertools.combinations_with_replacement
-------------------------------------+-------------------------------------
       Reporter:  nbruin             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.5
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/combinat/rewrite_unordered_tuples-13982|  
3c0c50adb02c5046a9b26273498c1f56eee9385e
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by darij):

 The "native" implementation of `tuple` is recursive, and with the current
 implementation it passes the string `'native'` to itself a zillion times.
 Am I seeing ghosts or could this be an inefficiency? (I would implement
 the native algorithm, if anywhere, then in a separate method
 `tuples_native`, which would recurse upon itself, and which I would then
 reference *one time* from `tuples`.)

 On `number_of_tuples`, is there really any chance for a gap call to beat
 `return ZZ( len(set(S)) )**k` ? I imagine the `set` call could take a
 while if `S` consists of complex things, but then again the doc of
 `unordered_tuples` warns against passing complex things to gap, which I
 assume should also apply to `number_of_tuples`. But I am too lazy to do
 timings...

--
Ticket URL: <http://trac.sagemath.org/ticket/13982#comment:25>
Sage <http://www.sagemath.org>
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