#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:
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Comment (by mmarco):

 Well, you could have that even now:

 {{{
 sage: R.<x>=QQ[]
 sage: R.lagrange_polynomial(((1,1.75),(2,0.2),(3,1.5)))
 1.42500000000000*x^2 - 5.82500000000000*x + 6.15000000000000
 }}}

 You can either catch that and raise an exception (which is probably the
 mathematically strictly correct), or be more flexible and allow situations
 like the previous (which, i think, can be useful in several cases).

 In this case, i would vote for the second option, but i understand it is a
 matter of opinion.

--
Ticket URL: <http://trac.sagemath.org/ticket/9787#comment:11>
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