#17548: Partitions() involving min_slope argument is buggy
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Reporter: | Owner: ferriszorro
ferriszorro | Status: needs_review
Type: defect | Milestone: sage-duplicate/invalid/wontfix
Priority: minor | Resolution:
Component: | Merged in:
combinatorics | Reviewers:
Keywords: | Work issues:
Partitions | Commit:
Authors: | Stopgaps:
Report Upstream: N/A |
Branch: |
Dependencies: |
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Changes (by tscrim):
* status: needs_work => needs_review
* milestone: sage-6.5 => sage-duplicate/invalid/wontfix
Comment:
This is actually bad input: the slopes should be negative (to be useful
for partitions). From the documentation of `Partitions`:
{{{
- ``min_slope=k`` specifies that the partitions have slope at least
`k`; the slope is the difference between successive parts.
}}}
The second input is actually correct, that is the only partition of 5 with
a positive slope (provided you don't count trailing 0's, which is how Sage
currently behaves). With that being said, the internal assumptions of
`IntegerListsLex` are also being broken with `min_slope > max_slope == 0`,
so it's no surprise bad data is being returned. So this should be a
wontfix.
--
Ticket URL: <http://trac.sagemath.org/ticket/17548#comment:7>
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