#11239: Incorrect coercion of polynomials over finite fields
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       Reporter:  johanbosman        |        Owner:  robertwb
           Type:  defect             |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-6.1
      Component:  coercion           |   Resolution:
       Keywords:  finite fields,     |    Merged in:
  polynomials, coercion, sd53        |    Reviewers:  Jean-Pierre Flori
        Authors:  Peter Bruin        |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  236effb6198c6192dce0cedc0e53423c68743e3e
  u/jpflori/ticket/11239             |     Stopgaps:
   Dependencies:  #8335              |
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Comment (by nbruin):

 Replying to [comment:27 SimonKing]:
 > No!! It is just the other way around! Ideally, you have a fast cheap
 stupid conversion, and then a potentially expensive tests tells you
 whether this conversion qualifies as a coercion. This, by the way, is
 exactly what happens when `R._coerce_map_from_(S)` returns True: The
 return value asserts that the conversion qualifies as a coercion.

 Actually, that is something I wondered about before. From an efficiency
 point of view this is a really bad idea: we have just established that
 between two very specific parents S and R there exists a coercion and to
 actually perform it we boot back to completely generic code that has to
 figure out exactly what conversion to apply, doing all kinds of type
 checks again. It would seem much better to refactor such code to
 immediately call the special case that the conversion code is going to
 arrive at anyway.

--
Ticket URL: <http://trac.sagemath.org/ticket/11239#comment:29>
Sage <http://www.sagemath.org>
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