#14015: Affine and Euclidean groups
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Reporter: vbraun | Owner: joyner
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.10
Component: group theory | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers: Travis Scrimshaw
Authors: Volker Braun | Merged in:
Dependencies: #14040, #14014 | Stopgaps:
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Changes (by tscrim):
* status: needs_work => needs_review
* reviewer: => Travis Scrimshaw
Old description:
> This ticket implements basic affine groups and Euclidean groups:
> {{{
> sage: G = AffineGroup(3, QQ)
> sage: g = G.random_element(); g
> [ 2 -1/2 0] [ 0]
> x|-> [ 1 -1 -1] x + [-32]
> [ 0 -2 -2] [1/3]
> sage: g*g
> [ 7/2 -1/2 1/2] [ 16]
> x|-> [ 1 5/2 3] x + [ -1/3]
> [ -2 6 6] [191/3]
> sage: g*g.inverse()
> [1 0 0] [0]
> x|-> [0 1 0] x + [0]
> [0 0 1] [0]
> }}}
New description:
This ticket implements basic affine groups and Euclidean groups:
{{{
sage: G = AffineGroup(3, QQ)
sage: g = G.random_element(); g
[ 2 -1/2 0] [ 0]
x|-> [ 1 -1 -1] x + [-32]
[ 0 -2 -2] [1/3]
sage: g*g
[ 7/2 -1/2 1/2] [ 16]
x|-> [ 1 5/2 3] x + [ -1/3]
[ -2 6 6] [191/3]
sage: g*g.inverse()
[1 0 0] [0]
x|-> [0 1 0] x + [0]
[0 0 1] [0]
}}}
----
Apply:
- [attachment:trac_14015-affine_groups-ts.patch]
--
Comment:
Hey Volker,
Here's a rebased version with my review changes. I've removed the need for
the `*_generic` classes and made the docstrings be at the class level so
that they are visible using introspection. I've also added a method to get
the lifted matrix space (representation of affine transformations as
linear transformations) as `linear_space()`, and made a few docstring
tweaks. If you're happy with my changes, you can set this to positive
review.
Best,[[BR]]
Travis
For patchbot:
Apply: trac_14015-affine_groups-ts.patch
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14015#comment:3>
Sage <http://www.sagemath.org>
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