#12091: bug in add_constraint to MixedIntegerLinearProgram
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       Reporter:  dimpase             |         Owner:  ncohen  
           Type:  defect              |        Status:  new     
       Priority:  critical            |     Milestone:  sage-5.0
      Component:  linear programming  |    Resolution:          
       Keywords:                      |   Work issues:          
Report Upstream:  N/A                 |     Reviewers:          
        Authors:                      |     Merged in:          
   Dependencies:                      |      Stopgaps:          
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Comment (by ppurka):

 The problem with the `a <= b <= c` is actually a problem with python.
 According to [http://www.python.org/dev/peps/pep-0207/ this], chained
 inequalities behave as follows:
 {{{
 # Trying to do x < y < z
              temp1 = x < y
              if temp1:
                return y < z
              else:
                return temp1
 }}}
 According to one of my colleagues this behavior is different in python-3
 (and that python-3 has the behavior we want), but I haven't checked (I
 will need to install python-3).

 One workaround is to explicitly group the inequalities. So, instead of
 inputting `a <= b <= c`, if we do `(a <= b) <= c` then it works. Since we
 are not moving to python-3 any time soon, the documentation should be
 updated to either discourage chained inequalities or to use explicitly
 grouped chained inequalities.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12091#comment:22>
Sage <http://www.sagemath.org>
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