#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):
OK, how about this:
* Get rid of `ConeFace` and `Cone_of_fan` classes.
* Absolutely every `Cone` has a fan associated to it. If it was not given
during construction, but is necessary for something, it will be
constructed as a fan generated by a single cone (this should be very fast
and memory efficient).
Fans will have three algorithms to compute cone lattices:
* Fast and independent of anything if we know that the fan is complete.
* Fast, once we get facet normals, if the fan is generated by a single
cone.
* "Intermediate" fans will merge cone lattices of fans of their
generating cones.
Cones will get their face lattices as sublattices of cone lattices of
their fans.
I think this will give the most consistent behaviour of different flavours
of cones, since there will be only one left. (Enhanced cones/fans will
behave as before - adding whatever else is necessary to the existing
structures.)
Let me know what you think...
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8987#comment:24>
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