#20461: Fixes for copying a MIP and its variables
-----------------------------+------------------------
       Reporter:  mkoeppe    |        Owner:
           Type:  defect     |       Status:  new
       Priority:  major      |    Milestone:  sage-7.2
      Component:  numerical  |   Resolution:
       Keywords:  lp         |    Merged in:
        Authors:             |    Reviewers:
Report Upstream:  N/A        |  Work issues:
         Branch:             |       Commit:
   Dependencies:             |     Stopgaps:
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Comment (by nbruin):

 {{{
 sage: p = MixedIntegerLinearProgram()
 sage: x = p.new_variable(nonnegative=True)
 sage: x[0]
 x_0
 sage: x[1]
 x_1
 sage: p[0] #I don't understand this
 x_2
 sage: p[1]
 x_3
 }}}
 But if we actually use the "generator" interface things seem OK:
 {{{
 sage: [p.gen(i) for i in [0..3]]
 [x_0, x_1, x_2, x_3]
 }}}
 so I would suggest to just make sure that `p.gen(...)` works properly and
 indeed gives a variable of the appropriate MIP object. Then there IS an
 interface to get access to its variables (and really, it seems to be
 largely in place already) and then simply that can be used.

 It looks like a variable on p is uniquely determined by its index
 (certainly its print name is), and `p.new_variable` seems just a funny way
 of obtaining such indices.

 The rest of the variable data is all hanging off internal tables, and via
 the "is_variable_*" methods you can obtain the type of the variables.

 I think you first need to make sure that all of that is accessible (and
 copied appropriately, but I guess that's taken care of now) and then you
 can think about what to do with this "new_variable" business.

--
Ticket URL: <http://trac.sagemath.org/ticket/20461#comment:4>
Sage <http://www.sagemath.org>
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