#13749: IntegerListsLex has finite issues
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Reporter: tscrim | Owner: sage-combinat
Type: defect | Status: new
Priority: major | Milestone: sage-5.6
Component: combinatorics | Keywords: finite sets, integer lists
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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`IntegerListsLex` has some issues with finiteness:
{{{
sage: L = IntegerListsLex(NonNegativeIntegers(), max_length=3,
ceiling=lamabda i: 3)
sage: L
Integer lists of sum in <class
'sage.sets.non_negative_integers.NonNegativeIntegers'> satisfying certain
constraints
sage: for x in L:
....:
[]
[1]
[0, 1]
[0, 0, 1]
...
[3, 3, 2]
[3, 2, 3]
[2, 3, 3]
[3, 3, 3]
# Continues looping for forever (which I guess is okay)
sage: L.is_finite()
True
sage: L.category()
Category of finite enumerated sets
sage: L2 = IntegerListsLex(NonNegativeIntegers(), max_length=3)
sage: L2.is_finite()
True
sage: L2.category()
Category of finite enumerated sets
}}}
The last two are not correct, and this would likely need moderate checking
of combinations of the input arguments.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13749>
Sage <http://www.sagemath.org>
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