#17548: Partitions() is buggy
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       Reporter:  ferriszorro    |        Owner:  ferriszorro
           Type:  defect         |       Status:  needs_work
       Priority:  major          |    Milestone:  sage-6.5
      Component:  combinatorics  |   Resolution:
       Keywords:  Partitions     |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:  #17637
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Comment (by was):

 Replying to [comment:32 jdemeyer]:
 > Replying to [comment:30 tscrim]:
 > > It does, but it is doing it by lex ordering, which is different than
 by length-then-lex ordering.
 > OK, listing all elements in lex ordering might not be possible. Fine,
 then '''raise an exception''' instead of returning a wrong answer.
 >
 > > Its the same as doing a Cartesian product of `{1,2} x NN` and getting
 `[1, 0]`, `[1, 1]`, `[1, 2]`, ... Is that a bug to you then too?
 > Of course that's a bug.

 +1 -- It is a reasonable basic principle that when iterating over a set S,
 for every x in S the iterator must eventually return x, as (Jereon said
 above).  If this is impossible due to constraints on the order of
 iteration, there should be an error...

--
Ticket URL: <http://trac.sagemath.org/ticket/17548#comment:34>
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