#12547: Single variable inequalities in MixedIntegerLinearProgram should set the
min and max automatically
----------------------------------+-----------------------------------------
   Reporter:  ppurka              |          Owner:  ncohen                   
       Type:  defect              |         Status:  new                      
   Priority:  major               |      Milestone:  sage-5.0                 
  Component:  linear programming  |       Keywords:  MixedIntegerLinearProgram
Work_issues:                      |       Upstream:  N/A                      
   Reviewer:                      |         Author:                           
     Merged:                      |   Dependencies:  12546                    
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 Currently single variable inequalities in `MixedIntegerLinearProgram` are
 more or less "ignored." So if one enters something like
 {{{
 sage: p = MixedIntegerLinearProgram()
 sage: b = p.new_variable()
 sage: p.add_constraint( -1 <= b[0] )
 sage: p.add_constraint( b[0] <= 2 )
 sage: p.show()
 Maximization:

 Constraints:
   x_0 <= 2.0
 Variables:
   x_0 is a continuous variable (min=0.0, max=+oo)
 }}}
 As evident from the above code, the min and the max of the variable have
 not been changed and so the lower bound on `b[0]` will be simply ignored
 by the optimization.

 The method `add_constraint` should automatically set the min and the max
 if it detects that there is only one variable in the constraint.

 This ticket also depends on a proper fix for #12546 so that constraints
 can be added as
 {{{
 sage: p.add_constraint( -1 <=  b[0] <= 2 )
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12547>
Sage <http://www.sagemath.org>
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