#9787: lagrange_polynomial(algorithm='divided_difference') fails over finite
fields
-------------------------------------+-------------------------------------
       Reporter:  mmezzarobba        |        Owner:  AlexGhitza
           Type:  defect             |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.4
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Peter Bruin        |    Reviewers:  Miguel Marco
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/pbruin/9787-lagrange_polynomial  |  57f432cfe194c56c1b258a2d37046d67b15b82ab
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by pbruin):

 Replying to [comment:9 mmarco]:
 > I would propose something like:
 >
 > {{{
 > seqpoints = Sequence([self.base().an_element()]+list(points))
 > points = [seqpoints.universe()(p) for p in points]
 > }}}
 >
 > That way we make sure that all the operations happen in the right parent
 (be it the base ring of the parent, or some other parent where both the
 input and the parent fit)
 Do you mean that `R.lagrange_polynomial()` should potentially return an
 element of a different ring than `R`?  That would be unnecessarily
 confusing in my opinion.

--
Ticket URL: <http://trac.sagemath.org/ticket/9787#comment:10>
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