#20602: MixedIntegerLinearProgram.gen() does not do anything useful
-------------------------+----------------------------
   Reporter:  mkoeppe    |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-7.3
  Component:  numerical  |         Keywords:  lp
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
-------------------------+----------------------------
 As observed in the comments in #20461:

 {{{
 sage: mip = MixedIntegerLinearProgram(solver='GLPK')
 sage: mip.gen(0)           ### Names a variable, but does not create it in
 the backend
 x_0
 sage: mip.number_of_variables()
 0
 sage: mip[0]                  ### This now creates a variable. It prints
 the same as the result of gen(0), but is different.
 x_0
 sage: mip.get_values(mip.gen(0))
 [...]
 TypeError: Not a MIPVariable: x_0
 sage: mip.is_real(mip.gen(0))
 [...]
 KeyError: x_0
 sage: mip.is_real(mip[0])
 True
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/20602>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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