#18199: sage.geometry.polyhedron should have an lrs backend
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   Reporter:  mkoeppe      |            Owner:
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-wishlist
  Component:  geometry     |         Keywords:  polyhedron, lrs
  Merged in:               |          Authors:
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 Sage already has lrs as an optional package.

 For higher-dimensional polytopes, computing vertices by lrs is often much
 faster than the implementations of the double description method in cddlib
 and ppl.

 Sage should have a backend_lrs.py to make use of the existing lrs package.

 Links to older discussions regarding lrs:
 [https://groups.google.com/forum/#!topic/sage-support/AZRzY7JyG_Y]
 [https://groups.google.com/forum/#!topic/sage-devel/oH6Jrjs-HUY]

 As has been said in these discussions, lrs also has a key benefit that it
 can generate the vertices as a stream, with very little memory use.
 Ideally, this feature could be exposed using Python generators. However,
 this would seem to require extending the Polyhedron interface.

--
Ticket URL: <http://trac.sagemath.org/ticket/18199>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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