#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 vdelecroix):
Hello,
Two bug-feature report.
1. Depending on the input, the floor is sometimes `0` and sometimes `1`:
{{{
#!python
sage: IntegerListsLex(5, length=3).list() # it is 0
[[5, 0, 0],
[4, 1, 0],
[4, 0, 1],
...
[0, 2, 3],
[0, 1, 4],
[0, 0, 5]]
sage: IntegerListsLex(5, length=3, max_slope=0).list() # it is 0
[[5, 0, 0], [4, 1, 0], [3, 2, 0], [3, 1, 1], [2, 2, 1]]
sage: IntegerListsLex(5, max_slope=0).list() # now it is 1!?
[[5], [4, 1], [3, 2], [3, 1, 1], [2, 2, 1], [2, 1, 1, 1], [1, 1, 1, 1, 1]]
}}}
2. The iterator is sometimes completely wrong when the set is infinite:
{{{
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]
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/17548#comment:25>
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