#13249: Volume computation of polyhedra
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       Reporter:  mhampton                                        |         
Owner:  mhampton    
           Type:  defect                                          |        
Status:  needs_review
       Priority:  major                                           |     
Milestone:  sage-5.7    
      Component:  geometry                                        |    
Resolution:              
       Keywords:  polyhedra, lrs_volume, geometry                 |   Work 
issues:              
Report Upstream:  N/A                                             |     
Reviewers:              
        Authors:  Marshall Hampton, Franco Saliola, Volker Braun  |     Merged 
in:              
   Dependencies:                                                  |      
Stopgaps:              
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Changes (by {'newvalue': u'Marshall Hampton, Franco Saliola, Volker Braun', 
'oldvalue': u'Marshall Hampton'}):

  * author:  Marshall Hampton => Marshall Hampton, Franco Saliola, Volker
             Braun


Old description:

> The recent changes to the geometry/polyhedra module broke support for the
> lrs_volume() method of the Polyhedron class.  This is not tested usually
> because it relies on the lrs optional package.  The fix is very simple,
> just a couple of imports needed to be added.

New description:

 The recent changes to the geometry/polyhedra module broke support for the
 lrs_volume() method of the Polyhedron class.  This is not tested usually
 because it relies on the lrs optional package.  The fix is very simple,
 just a couple of imports needed to be added.

 While we are at it, implement the native volume computation whose bits and
 pieces (triangulation and volume of simplices) have been around for a
 while but haven't been hooked up.

 Apply:
   * [attachment:trac_13249_vb.patch]
   * [attachment:trac_13249_volume.patch]

--

Comment:

 Apologies for taking over the ticket, but this belongs together anyways.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13249#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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