#19921: Handle zero coefficients when converting asymptotic rings
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       Reporter:  cheuberg               |        Owner:
           Type:  defect                 |       Status:  new
       Priority:  major                  |    Milestone:  sage-7.1
      Component:  asymptotic expansions  |   Resolution:
       Keywords:                         |    Merged in:
        Authors:                         |    Reviewers:
Report Upstream:  N/A                    |  Work issues:
         Branch:                         |       Commit:
   Dependencies:                         |     Stopgaps:
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Description changed by cheuberg:

Old description:

> {{{
> sage:             sage: CR.<Z> = QQ['Z']
> sage:             sage: CR_mod = CR.quotient((Z^2 - 1)*CR)
> sage:             sage: R.<x> = AsymptoticRing(growth_group='x^NN',
> coefficient_ring=CR)
> /local/cheuberg/sage/sage-6.10/local/lib/python2.7/site-
> packages/sage/structure/unique_representation.py:1021: FutureWarning:
> This class/method/function is marked as experimental. It, its
> functionality or its interface might change without a formal deprecation.
> See http://trac.sagemath.org/17601 for details.
>   instance = typecall(cls, *args, **options)
> sage:             sage: R_mod =
> R.change_parameter(coefficient_ring=CR_mod)
> sage:             sage: e = 1 + x*(Z^2-1)
> sage:             sage: R_mod(e)
> Traceback (most recent call last):
> ...
> ValueError: Cannot include Z^2 - 1*x with parent Exact Term Monoid
> x^((Non negative integer semiring)) with coefficients in Univariate
> Polynomial Ring in Z over Rational Field in Asymptotic Ring <x^((Non
> negative integer semiring))> over Univariate Quotient Polynomial Ring in
> Zbar over Rational Field with modulus Z^2 - 1
> > *previous* ValueError: Zero coefficient 0 is not allowed in Exact Term
> Monoid x^((Non negative integer semiring)) with coefficients in
> Univariate Quotient Polynomial Ring in Zbar over Rational Field with
> modulus Z^2 - 1.
> }}}

New description:

 {{{
 sage: CR.<Z> = QQ['Z']
 sage: CR_mod = CR.quotient((Z^2 - 1)*CR)
 sage: R.<x> = AsymptoticRing(growth_group='x^NN', coefficient_ring=CR)
 sage: R_mod = R.change_parameter(coefficient_ring=CR_mod)
 sage: e = 1 + x*(Z^2-1)
 sage: R_mod(e)
 Traceback (most recent call last):
 ...
 ValueError: Cannot include Z^2 - 1*x with parent Exact Term Monoid
 x^((Non negative integer semiring)) with coefficients in Univariate
 Polynomial Ring in Z over Rational Field in Asymptotic Ring
 <x^((Non negative integer semiring))> over Univariate Quotient Polynomial
 Ring in Zbar over Rational Field with modulus Z^2 - 1
 > *previous* ValueError: Zero coefficient 0 is not allowed in Exact
 Term Monoid x^((Non negative integer semiring)) with coefficients
 in Univariate Quotient Polynomial Ring in Zbar over Rational Field
 with modulus Z^2 - 1.
 }}}

--

--
Ticket URL: <http://trac.sagemath.org/ticket/19921#comment:1>
Sage <http://www.sagemath.org>
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