#5200: [with patch, needs review] subsets and subwords bug fix + improvements.
---------------------------+------------------------------------------------
 Reporter:  hivert         |       Owner:  hivert           
     Type:  enhancement    |      Status:  new              
 Priority:  major          |   Milestone:  sage-combinat    
Component:  combinatorics  |    Keywords:  subsets, subwords
---------------------------+------------------------------------------------
Changes (by hivert):

  * owner:  mhansen => hivert


Old description:

> This patches deals with several issues concerning subwords and subsets:
>   1. It implements subsets for finite multisets (sets with repetitions).
>      Before the patch:
> {{{
> sage: Subsets([2,2,3]).list()
> [{}, {2}, {3}, {2, 3}]
> }}}
>      After:
> {{{
> sage: Subsets([2,2,3]).list()
> [[], [2], [3], [2, 2], [2, 3], [2, 2, 3]]
> }}}
>   1. It implement {{{__contains__}}} which was missing for subsets and
> subwords:
>      Before:
> {{{
> sage: st = Subsets([1,2,2,3]); Set([1,2]) in st
> ---------------------------------------------------------------------------
> NotImplementedError                       Traceback (most recent call
> last)
> }}}
>      After:
> {{{
> sage: st = Subsets([1,2,2,3]); Set([1,2]) in st
> True
> }}}
>   1. It fixes a bug in smallest_positions:
>      Before:
> {{{
> sage: sage.combinat.subword.smallest_positions([2,4,3,3,1,2],[1,3,3])
> [4, 4, 4]
> }}}
>      After:
> {{{
> sage.combinat.subword.smallest_positions([2,4,3,3,1,2],[1,3,3])
> False
> }}}
>      which means that 113 is not a subword of 243312.
>   4. It finally improves the doc and the tests.
>
> Since this is my first trac submission, any comment about this text or
> the patch is strongly welcome...

New description:

 I've uploaded a new patch according to remark of Nicolas and Mike. It
 should be ready for review and hopefully integration.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5200#comment:3>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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