#18757: Poset catalog: Element type of BooleanLattice, IntegerCompositions and
IntegerPartitions
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Reporter: jmantysalo | Owner:
Type: defect | Status: new
Priority: minor | Milestone: sage-wishlist
Component: combinatorics | Resolution:
Keywords: posets | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by jmantysalo:
Old description:
> {{{
> print type(Posets.IntegerPartitions(3)[1])
> print type(Posets.IntegerCompositions(3)[1])
> print type(Posets.BooleanLattice(3)[1])
> }}}
>
> says
>
> {{{
> <type 'tuple'>
> <class
> 'sage.combinat.composition.Compositions_n_with_category.element_class'>
> <type 'sage.rings.integer.Integer'>
> }}}
>
> This seems unlogical. There is a class for integer partitions just like
> integer compositions. Also why don't `BooleanLattice(n)` return poset
> with (sub)sets as an elements? Of course there could be parameter like
> `elements='integers'` in all three.
New description:
{{{
print type(Posets.IntegerPartitions(3)[1])
print type(Posets.IntegerCompositions(3)[1])
print type(Posets.BooleanLattice(3)[1])
}}}
says
{{{
<type 'tuple'>
<class
'sage.combinat.composition.Compositions_n_with_category.element_class'>
<type 'sage.rings.integer.Integer'>
}}}
This seems unlogical. There is a class for integer partitions just like
integer compositions. Also why don't `BooleanLattice(n)` return poset with
(sub)sets as an elements? Of course there could be parameter like
`elements='integers'` in all three.
And more, why don't `IntegerCompositions()` return a lattice instead of
poset? Or should all functions have an argument for this, i.e. like
`PentagonPoset(type='poset')`?
--
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Ticket URL: <http://trac.sagemath.org/ticket/18757#comment:1>
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