#19459: Fix containment
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       Reporter:  switzel            |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.10
      Component:  coercion           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Stefan Witzel      |    Reviewers:  Peter Bruin
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/switzel/fix_containment          |  299fbb32269c30f61f1814e70806b28de1a0e57a
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by switzel:

Old description:

> Containment testing catches TypeError, ValueError, ZeroDivisionError.
> However, casting a Laurent series to a power series (when it isn't one)
> raises an ArithmeticError. This commit adds ArithmeticError to the list
> to make the following code work:
>
> {{{
> L.<t> = LaurentSeriesRing(GF(2))
> R.<x,y> = PolynomialRing(L)
> O = L.power_series_ring()
> S.<x,y> = PolynomialRing(O)
> t**(-1)*x*y in S
> }}}

New description:

 Containment testing catches `TypeError`, `ValueError`,
 `ZeroDivisionError`.
 However, casting a Laurent series to a power series (when it isn't one)
 raises an `ArithmeticError`. This fix makes the cast throw a `TypeError`
 rather than an `ArithmeticError` to make the following code work:

 {{{
 L.<t> = LaurentSeriesRing(GF(2))
 R.<x,y> = PolynomialRing(L)
 O = L.power_series_ring()
 S.<x,y> = PolynomialRing(O)
 t**(-1)*x*y in S
 }}}

--

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Ticket URL: <http://trac.sagemath.org/ticket/19459#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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