#5117: Rename the Polyhedron.union(...) method
---------------------------+------------------------------------------------
   Reporter:  sbarthelemy  |       Owner:  mhampton  
       Type:  defect       |      Status:  needs_info
   Priority:  major        |   Milestone:  sage-4.4  
  Component:  geometry     |    Keywords:            
     Author:               |    Upstream:  N/A       
   Reviewer:               |      Merged:            
Work_issues:               |  
---------------------------+------------------------------------------------
Changes (by novoselt):

  * status:  new => needs_info
  * upstream:  => N/A


Comment:

 Current version is doing this:
 {{{
 new_vertices = self.vertices() + other.vertices()
 new_rays = self.rays() + other.rays()
 new_lines = self.lines() + other.lines()
 return Polyhedron(vertices=new_vertices,
                       rays=new_rays, lines=new_lines, field=self.field())

 }}}
 which is great, but I STRONGLY support the idea of renaming the method to
 something else.

 I was once working with an algorithm where the *union* of polytopes was
 used, but I interpreted it exactly as the convex hull and of course got
 wrong results. I was not using this function, that was my own mistake, but
 since it is so easy to do, I don't think there should be an extra
 opportunity for confusion. I agree, that the result is described in the
 documentation, but I don't always read it for "obvious" functions and
 perhaps there are other users like me.

 How about "extend"? "convex_hull" is also great, although it seems more
 natural to me to have a global function with such a name called like
 {{{
 convex_hull(polyhedron1, polyhedron2, polyhedron3, ...)
 }}}
 (There is a function with this name in lattice_polytope which works with
 points and thinking about it now I suspect that I have chosen not the best
 name for it either... At least it is not imported into global
 namespace...)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5117#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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