#17979: Reimplementation of IntegerListsLex
-------------------------------------+-------------------------------------
       Reporter:  aschilling         |        Owner:
           Type:  defect             |       Status:  needs_review
       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                |  aec1e101e8078ed90c1c6c906f4b79dcfa93330f
   Dependencies:                     |     Stopgaps:
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Comment (by vdelecroix):

 Hello,

 There are several things that I do not quite understand. Could you explain
 or modify it:

 1. The iterator `IntegerListLex` aims to be fast and low-level. What is
 the point of using the `Parent`/`Element` stuff? Why `ClonableArray` are
 better than Python lists?

 2. Having a nested class seems overkill. The class `_Iter` is created only
 once in `__iter__`. Moreover, all methods in it starts with `p =
 self.parent`. Why do you need to create this extra `_Iter` class? Why does
 it need to be a nested class?

 3. Do you have a use case for
   {{{
   sage: IntegerListsLex(NN, max_length=3)
   Disjoint union of Lazy family (<lambda>(i))_{i in Non negative integer
 semiring}
   }}}
   The feature only appears once in the doc in a place which does not
 appear in the reference manual.

 4. Why `_check_lexicographic_iterable` is a cached method? And I do not
 get why is it called from `_Iter` and not at the initialization of
 `IntegerListsLex`.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/17979#comment:291>
Sage <http://www.sagemath.org>
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