#12533: arbitrary precision LP solver backend
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       Reporter:  dimpase                  |         Owner:  ncohen             
                            
           Type:  enhancement              |        Status:  positive_review    
                            
       Priority:  major                    |     Milestone:  sage-pending       
                            
      Component:  linear programming       |    Resolution:                     
                            
       Keywords:  arbitrary precision, LP  |   Work issues:                     
                            
Report Upstream:  N/A                      |     Reviewers:  David Coudert, 
Nathann Cohen, Dmitrii Pasechnik
        Authors:  Risan                    |     Merged in:                     
                            
   Dependencies:  #12553, #13646           |      Stopgaps:                     
                            
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Comment (by dimpase):

 Replying to [comment:76 vbraun]:
 > The coefficients are currently only converted to the base ring if the
 coercion system is required.
 But here RDF is the wrong ring to convert to. With your latest patch I
 get:
 {{{
 sage: p = MixedIntegerLinearProgram(solver='ppl')
 sage: x = p.new_variable()
 sage: 2 * x[1]
 2.0 x_0
 sage:
 }}}
 which breaks the ppl backend, as 2.0 is RDF. How one is supposed to enter
 the system without the (wrong) conversion?

 It would help a lot if you at least outline the functionality you need in
 backends to make this work properly in some detail.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12533#comment:77>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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