#13821: Change sage.combinat.combinat.combinations() to use Combinations
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   Reporter:  ppurka         |             Owner:  sage-combinat
       Type:  enhancement    |            Status:  new          
   Priority:  major          |         Milestone:  sage-5.6     
  Component:  combinatorics  |          Keywords:               
Work issues:                 |   Report Upstream:  N/A          
  Reviewers:                 |           Authors:               
  Merged in:                 |      Dependencies:               
   Stopgaps:                 |  
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 As I mentioned a long time ago in #5288, the `combinations()` method is
 not ideal for working with Sage objects. This warning is also present in
 the documentation of this command. There is a much better command
 `Combinations`. The `combinations` command should be made to return a list
 by calling `Combinations` instead.

 The result of this change in the code will be that
 1. It will also speed up the function considerably, partly because it
 won't depend on string parsing from GAP.
 2. It will be able to handle Sage objects much better.
 3. If and when #10534 is merged, the function will automatically gain at
 least 10x speed.

 Similarly, `combinations_iterator` should directly return a `Combinations`
 object, instead of duplicating stuff.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13821>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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