#17548: Partitions() is buggy
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Reporter: ferriszorro | Owner: ferriszorro
Type: defect | Status: needs_work
Priority: minor | Milestone: sage-6.5
Component: combinatorics | Resolution:
Keywords: Partitions | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps: #17637
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Comment (by jdemeyer):
Replying to [comment:27 tscrim]:
> > 2. The iterator is sometimes completely wrong when the set is
infinite:
> > {{{
> > #!python
> > sage: it = iter(IntegerListsLex(5))
> > sage: for _ in range(10): print it.next()
> > [5]
> > [4, 1]
> > [4, 0, 1]
> > [4, 0, 0, 1]
> > [4, 0, 0, 0, 1]
> > [4, 0, 0, 0, 0, 1]
> > [4, 0, 0, 0, 0, 0, 1]
> > [4, 0, 0, 0, 0, 0, 0, 1]
> > [4, 0, 0, 0, 0, 0, 0, 0, 1]
> > [4, 0, 0, 0, 0, 0, 0, 0, 0, 1]
> > }}}
>
> This is also not a bug because there are no other conditions on the
lists and each of these are the next in lex ordering.
This is a bug! An iterator (finite or infinite) must eventually return
every element of the set.
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Ticket URL: <http://trac.sagemath.org/ticket/17548#comment:29>
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