#19075: Speedup creation of Kleber tree
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.10
      Component:  combinatorics      |   Resolution:
       Keywords:  rigged             |    Merged in:
  configurations, kleber tree        |    Reviewers:
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  33af86e92c739daf4adfce96c3bb3752974bb1e6
  public/rigged_configurations/speedup_kleber_tree-19075|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by tscrim):

 From doing some more testing, as soon as the rank hits 7, the children
 iterator by using integer points of polytopes is faster than going over
 all possible up roots. I'm fairly certain this will hold true for all
 cases as this was true for even small examples in type A (the `use_uproot`
 was just an extra parameter I added for testing):
 {{{
 sage: from sage.combinat.rigged_configurations.kleber_tree import
 KleberTree
 sage: %time K = KleberTree(['A',7,1], [[1,6],[1,1]], use_uproot=True)
 CPU times: user 51.3 ms, sys: 8.19 ms, total: 59.5 ms
 Wall time: 56.4 ms
 sage: %time K = KleberTree(['A',7,1], [[1,6],[1,1]], use_uproot=False)
 CPU times: user 14.6 ms, sys: 695 µs, total: 15.3 ms
 Wall time: 13.4 ms
 sage: %time K = KleberTree(['A',7,1], [[1,3],[1,1]], use_uproot=True)
 CPU times: user 12.6 ms, sys: 139 µs, total: 12.8 ms
 Wall time: 11.2 ms
 sage: %time K = KleberTree(['A',7,1], [[1,3],[1,1]], use_uproot=False)
 CPU times: user 8.66 ms, sys: 182 µs, total: 8.84 ms
 Wall time: 8.12 ms
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/19075#comment:8>
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