#14862: Compositions accept any input
-------------------------------------+-------------------------------------
       Reporter:  stumpc5            |        Owner:  sage-combinat
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-5.13
      Component:  combinatorics      |   Resolution:
       Keywords:  composition,       |    Merged in:
  FindStat                           |    Reviewers:
        Authors:                     |  Work issues:  provide a test in the
Report Upstream:  N/A                |  constructor
         Branch:                     |       Commit:
   Dependencies:                     |     Stopgaps:
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Comment (by nbruin):

 I wouldn't have expected this at first blush, but after reading
 `Composition.__classcall_private__` it's pretty obvious why
 in terms of performance, `Composition` should not be called directly:
 {{{
 sage: timeit("Composition([1,2,3,4])",number=100000)
 100000 loops, best of 3: 8.01 µs per loop
 sage: timeit("Compositions()([1,2,3,4])",number=100000)
 100000 loops, best of 3: 6.8 µs per loop
 sage: C=Compositions()
 sage: timeit("C([1,2,3,4])",number=100000)
 100000 loops, best of 3: 4.64 µs per loop
 }}}
 so perhaps the best solution is indeed to deprecate `Composition` as an
 entry in the global namespace?

 Note that the reported behaviour in the ticket still needs fixing. The
 currently attached patch doesn't solve the problem below. I expect that
 the fix has to go into the `__init__` rather than into the
 `classcall_private`.
 {{{
 sage: Compositions()('ASDF')
 ['A', 'S', 'D', 'F']
 sage: Compositions()('ASDF').parent()
 Compositions of non-negative integers
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/14862#comment:19>
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