#17979: Reimplementation of IntegerListsLex
-------------------------------------+-------------------------------------
       Reporter:  aschilling         |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  blocker            |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:  days64             |    Merged in:
        Authors:  Bryan Gillespie,   |    Reviewers:  Nathann Cohen, Jeroen
  Anne Schilling, Nicolas M. Thiery  |  Demeyer, Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/ticket/17979                |  3fab366c21e8f479deb8ffbbd6dcb1eb88b72b35
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by nthiery):

 Replying to [comment:388 jdemeyer]:
 > I do find it surprisingly inconsistent that
 > {{{
 > sage: IntegerListsLex(7, floor=[4,3,2,1], max_part=4,
 min_slope=-1).list()
 > }}}
 > works but
 > {{{
 > sage: IntegerListsLex(7, floor=[4], max_part=4, min_slope=-1).list()
 > }}}
 > does not.

 Annoying indeed. The fine point is in the heuristic to decide how deep
 we want to lookahead to find a lower bound on the total floor area. In
 a case like this we could potentially compute how deep to go until the
 floor would reach its limit of zero.

 I would tend to postpone that: there is no risk of wrong answer, the
 existence of false negatives is now documented in
 ``_check_finiteness`` (using the above examples), and the user can set
 ``check=False`` to workaround the limitation.

 What do you think?

--
Ticket URL: <http://trac.sagemath.org/ticket/17979#comment:395>
Sage <http://www.sagemath.org>
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