#18021: gyration orbits method for AlternatingSignMatrix and add optional
parameter
for gyration method.
-------------------------------------+-------------------------------------
Reporter: egunawan | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: days64, gyration, | Merged in:
alternating sign matrix | Reviewers: tscrim,
Authors: | jessicapalencia
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/egunawan/ticket/18021 | 52705536f95a497f1573665374c75b69f5d9037f
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Description changed by egunawan:
Old description:
> (To see the work in progress in between pushing to branch
> "u/egunawan/ticket/18021", do "git pull trac u/egunawan/gyrationorbit")
>
> In class :class:`AlternatingSignMatrix` (future: in class
> FullyPackedLoop):
> * add a method :meth:`obtain_gyration_orbit` for returning the orbit of
> self.
>
> In class :class:`AlternatingSignMatrices`:
> * add a method :meth:`gyration_orbits` for returning the list of orbits
> of alternating sign matrices of order n.
> * add a method :meth:`gyration_orbit_size` for returning the sizes of
> orbits of alternating sign matrices of order n.
>
> For method :meth:`AlternatingSignMatrix.gyration`
> * optional parameter k (default k=1) to indicate how many times to gyrate
> on the ASM
> (future: call gyration method from :class:`FullyPackedLoop` )
>
> See Ticket #17988 (implementing FullyPackedLoop class)
>
> We are implementing the code that Travis Scrimshaw gave us.
New description:
(To see the work in progress in between pushing to branch
"u/egunawan/ticket/18021", do "git pull trac u/egunawan/gyrationorbit" on
develop branch sage 6.6.beta6)
In class :class:`AlternatingSignMatrix` (future: in class
FullyPackedLoop):
* add a method :meth:`obtain_gyration_orbit` for returning the orbit of
self.
In class :class:`AlternatingSignMatrices`:
* add a method :meth:`gyration_orbits` for returning the list of orbits of
alternating sign matrices of order n.
* add a method :meth:`gyration_orbit_size` for returning the sizes of
orbits of alternating sign matrices of order n.
For method :meth:`AlternatingSignMatrix.gyration`
* optional parameter k (default k=1) to indicate how many times to gyrate
on the ASM
(future: call gyration method from :class:`FullyPackedLoop` )
See Ticket #17988 (implementing FullyPackedLoop class)
We are implementing the code that Travis Scrimshaw gave us.
--
--
Ticket URL: <http://trac.sagemath.org/ticket/18021#comment:4>
Sage <http://www.sagemath.org>
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