#9296: Add lattice computations for convex polyhedral cones
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Reporter: vbraun | Owner: mhampton
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.4.4
Component: geometry | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by vbraun):
1) Oops, yes will fix this (probably tomorrow)
2) I think "trivial cone" is standard nomenclature. But I'll have to say I
was a bit confused as to how to split methods between `Cone` and
`IntegralRayCollection`, and just put `is_trivial` together with all the
other `is_*` methods. But I guess everything that does not reference
**ambient** should go into `IntegralRayCollection`. Then, for example,
`is_simplicial` should be moved as well?
3) The lattice will always be the `cone.lattice()` one. I agree that it
might be confusing if the lattice is called `MyNLattice` yet the method is
still called `cone.N()` and not `cone.MyNLattice()`. On the other hand,
writing `sigma.N()` for `N_\sigma` is extremely cute. I would claim that
most beginners will end up using the default N/M lattices, and to advanced
users it will be clear that the method names don't change just because you
change the lattice name. Of course I'm open to better names...
4,5) If I remember correctly then the "sequence of generating lattice
vectors" ends up being used more often than the projection to the quotient
lattice. So you might want to wait a bit before overengineering this part.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9296#comment:3>
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