#16836: __neg__ fails in CartesianProduct of CombinatorialFreeModule
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       Reporter:         |        Owner:
  cnassau                |       Status:  needs_review
           Type:         |    Milestone:  sage-6.4
  defect                 |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:
  categories             |  Work issues:
       Keywords:         |       Commit:
        Authors:         |  4c7a1c9cd9edfc9ea455918a56917ce873cec2e8
  Christian Nassau       |     Stopgaps:
Report Upstream:  N/A    |
         Branch:         |
  public/16836           |
   Dependencies:         |
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Comment (by cnassau):

 Replying to [comment:12 vdelecroix]:
 > Not sure the old code is appropriate:
 > {{{
 > sage: NNSemiring = NonNegativeIntegerSemiring()
 > sage: C = cartesian_product([ZZ,NNSemiring,RR])
 > sage: -C([2,0,.4])
 > (-2, 0, -0.400000000000000)
 > sage: parent(_)
 > The cartesian product of (Integer Ring, Integer Ring,
 >  Real Field with 53 bits of precision)
 > }}}
 > The problem is that `NN` is a facade (i.e. its elements are Integer
 whose with parent the Integer Ring). But when `NN` is a factor of a
 cartesian product it is not considered as being one. I would just remove
 completely this `__neg__` for magma elements or adopt my version. That
 would avoid many problems!

 Getting rid of it sounds like a clean solution. The latest commit now only
 implements a `__neg__` if all factors are guaranteed to have inverses.

 Cheers,
 Christian

--
Ticket URL: <http://trac.sagemath.org/ticket/16836#comment:14>
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