#18454: New `random_cone()` function
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Reporter: mjo | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: geometry | Resolution:
Keywords: | Merged in:
Authors: Michael Orlitzky | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/mjo/ticket/18454 | 1bbb2d16b104c4f94fcfa56af1e4a2f2fde85ba4
Dependencies: | Stopgaps:
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Comment (by mjo):
Replying to [comment:2 novoselt]:
> I will surely have more picks, but for starters:
>
> - it would be nice to have an option of specifying the lattice of the
random cone
Thanks, I can try to do this one.
[[BR]]
> - decision to limit maximum number of rays to double dimension is not
natural - I would drop it completely, but perhaps warn the user in
documentation that it may take a while to generate a random cone with a
lot of rays of low dimension.
I wasn't sure what to do here. I was trying to avoid returning a cone with
e.g. four rays when the user specified `min_rays == max_rays == 10` (for
example). What do we do if the user requests a minimum of 100 rays in
R^2^? It's going to take a while indeed =)
In R^3^, it might happen by chance, but the current algorithm won't get
there eventually: we're appending new rays to a list, and once we have
plus/minus the standard basis, we can append forever and never get any new
generators. We'd have to throw out the cone once it becomes the whole
space and start over.
--
Ticket URL: <http://trac.sagemath.org/ticket/18454#comment:3>
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