#15428: Partitions to posets
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       Reporter:  darij                          |        Owner:
           Type:  enhancement                    |       Status:
       Priority:  major                          |  needs_work
      Component:  combinatorics                  |    Milestone:  sage-5.13
       Keywords:  sage-combinat, partition,      |   Resolution:
  poset                                          |    Merged in:
        Authors:  Darij Grinberg                 |    Reviewers:  Travis
Report Upstream:  N/A                            |  Scrimshaw
         Branch:                                 |  Work issues:
   Dependencies:  #15350                         |       Commit:
                                                 |     Stopgaps:
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Comment (by nthiery):

 Hi Darij,

 Replying to [comment:18 darij]:
 > Hmm. TBH I still don't understand you. How do you get anything from
 > reversal? I'm building up a dictionary, not a list of cover
 > relations.  The (arguably toy) timing I have done shows the
 > dictionary to be faster:
 >
 > {{{
 > sage: %timeit Poset({1: [2,3], 2: [4,5], 5: [6,7,8]})
 > 1000 loops, best of 3: 1.31 ms per loop
 > sage: %timeit Poset([[1,2],[1,3],[2,4],[2,5],[5,6],[5,7],[5,8]])
 > 100 loops, best of 3: 1.9 ms per loop
 > }}}

 I'd say: too early of an optimization. Especially since the above
 timing is actually pretty ridiculous: wtf, 1 ms to build a trivial
 poset? I very much hope this will be improved a lot in the future; but
 that's a different story. Btw: %timeit is does not measure things well
 for objects with unique representation, or in general whenever there
 is a cache involved.

 At this point, just focus on expressive and duplication free code. Use
 covers if it's easier. I know you can find a solution :-)

 > > For consistency, I would tend to favor non boolean options like
 > > horiz="left" / "right" (we have a bunch of them e.g. in the Coxeter
 > > code). But I don't have great suggestions for the option names
 > > themselves.
 >
 > Hmm. I thought you wanted to get rid of strings as arguments. I'm not
 really convinced of replacing a 2-letter string by 2 multiletter strings
 :/

 I agree. My point was more about separation of concerns (up/down,
 left/right). In any cases, there is no clear cut solution and I just
 meant to hint at possible directions. I let you take the final
 judgment call!

 Cheers,
                        Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/15428#comment:19>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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