#2957: [with patch, needs work] Singular multivariate polynomials are buggy on
exponent overflow
------------------------------+---------------------------------------------
 Reporter:  cwitty            |        Owner:  somebody  
     Type:  defect            |       Status:  new       
 Priority:  major             |    Milestone:  sage-3.4.1
Component:  basic arithmetic  |   Resolution:            
 Keywords:                    |  
------------------------------+---------------------------------------------
Changes (by burcin):

  * summary:  [with patch, needs review] Singular multivariate polynomials
              are buggy on exponent overflow => [with patch,
              needs work] Singular multivariate polynomials
              are buggy on exponent overflow

Comment:

 We already discussed this with malb, boothby and was extensively. Here are
 the points here for reference:
  * the return value of the function `p_GetMaxExp` is an unsigned long,
 fixing this should let one remove the esum < 0 check
  * `max_exponent_size` in `multi_polynomial_libsingular.pyx` should be
 declared an `unsigned long`
  * adding an `unlikely` hint for `esum > max_exponent_size` might reduce
 the speed regression even further

 Boothby also remarked that checking for total degree before the degree of
 each variable might help. Looking at the code again, I think we only check
 the total degree.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2957#comment:5>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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