#8987: Add support for rational polyhedral fans
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Reporter: novoselt | Owner: mhampton
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.4.4
Component: geometry | Keywords:
Author: Andrey Novoseltsev | Upstream: N/A
Reviewer: Volker Braun | Merged:
Work_issues: |
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Comment(by novoselt):
To minimize confusion I decided to use `_face_lattice_function` to access
the relevant lattice of `ambient`. So faces will not be mentioned in fans
in any way.
I am still unsure about `fan.ambient()` method. It seems to be somewhat
meaningless and perhaps even confusing. One can imagine working with
subfans of a fan where this name can be natural, but my code is likely to
break unless `fan.ambient() is fan`. So perhaps it would be better to have
`_ambient` or something like this for ray collections and expose it as
`ambient` for cones, but not for fans. Maybe some other name is better
than `ambient`, but nothing comes to my mind. For cones the precise
meaning of it is the dual analog of the origin. While the origin is the
bottom of a face/cone lattice to which this particular cone belongs, the
`ambient` should be its top...
I will check actually, in what situations do I need to call
`fan.ambient()`, maybe all I need is that `_face_lattice_function`.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8987#comment:34>
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