#18109: Restructure IntegerListLex code
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       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  new
       Priority:  major              |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/ticket/18109            |  9fbbd3c6c2900b5d6f326846522338774751cfe8
   Dependencies:  #18181             |     Stopgaps:
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Comment (by jdemeyer):

 Replying to [comment:16 vdelecroix]:
 > Replying to [comment:15 jdemeyer]:
 > > Replying to [comment:14 vdelecroix]:
 > > > A comment on the design... Should we really support +Infinity in the
 iterator?
 > > Yes.
 > >
 > > > I would go for `unsigned int` variables and `UINT_MAX` as a
 synonmyous for Infinity.
 > > And not support `IntegerLists(10^100)`?
 >
 > I said for the iterator. Not for the main class. I would not bother if
 `iter(IntegerLists(10^100))` just failed. It should be very fast for small
 entries. I guess that one option would be to use Nathann strategy in
 #18137 with fused Cython type (here `unsigned int` and `mpz_t`).

 I think that we really should support `list(IntegerLists(10^100,
 length=1))` because in Sage, we ''always'' support large integers if
 possible.

 In any case, changing this is certainly outside the scope of this ticket
 (it could be done in #18055 or #18056). Here, I just want to reorganize
 the code without changing the implementation.

--
Ticket URL: <http://trac.sagemath.org/ticket/18109#comment:18>
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