#9787: lagrange_polynomial(algorithm='divided_difference') fails over finite
fields
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       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, if it is clearly stated that the result should be in R, conversion
 should also be allowed, from my point of view. I can see solid arguments
 for any of the possible choices: coerce to R.basis(), convert to
 R.basis(), or extend for the common universe of R.basis() and the input.
 My personal choice would be the last one, but as long as it is clearly
 documented, i could live with any.

 Another option would be to include a keyword (like 'extend', for example)
 to control the behaviour in this aspect. That way you can have a default
 functionality, but also another option for the user to choose. Although,
 it seems a bit overkill for this.

--
Ticket URL: <http://trac.sagemath.org/ticket/9787#comment:13>
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