#18063: Add random generation to Gelfand-Tsetlin triangles
-------------------------------------+-------------------------------------
       Reporter:  deinst             |        Owner:  deinst
           Type:  enhancement        |       Status:  positive_review
       Priority:  minor              |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  David Einstein     |    Reviewers:  kdilks
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/kdilks/random_gelfand_tsetlin    |  8ad564c0e6c6457c7d0e73b6a9365255814c3c24
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by deinst):

 * status:  needs_review => positive_review


Comment:

 It looks good to me.  Thank you very much for looking at this.

 Replying to [comment:12 kdilks]:
 > 1) Doc-build yelled at me for trying to add a reference that was already
 included somewhere else, so I guess you were right to leave it out. I may
 still tweak the documentation a little, so that the mention of Propp's
 algorithm and the fact that it gives a uniformly random Gelfand-Tsetlin
 pattern is also attached to random_element() so it shows up in the built
 reference documents, not just attached to a helper method you can only see
 in the source code.

 The documentation system baffles me.  I am continually irked by the fact
 that I need to `make doc-clean` almost every time I `make`.  I think it
 has to do with cross file links, but I'm generally baffled.
 >
 > 2) The algorithm will loop indefinitely if self is empty, so it now
 raises an error if your input has a combination of k,n,and strict that
 will yield no Gelfand-Tsetlin patterns (k<0 if not strict, k+1<n if
 strict).

 Doh!  That is embarassing, I think I try to check the corner cases, but I
 do things like this :(.
 >
 > 3) random_element() now returns a 'Gelfand-Tsetlin pattern' (in the sage
 data type sense), rather than just the underlying list of lists.

 That makes sense
 >

 Your code and documentation looks great, an improvement, and still
 generates uniformly.

 > I'm ok with a positive review, pending you checking my modifications.

 I'm setting it to positive_review.  Hopefully that is the correct
 protocol.

--
Ticket URL: <http://trac.sagemath.org/ticket/18063#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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