#8502: evaluating multivariate polynomials yields non-constant
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Reporter: cremona | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone: sage-4.3.4
Component: algebra | Keywords: polynomial evaluation
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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The following behaviour does not agree with the documentation for the
{{{__call__}} function on multivariable polynomials, which states that (as
one would expect and hope) the result should lie in the constant field:
{{{
sage: K.<t> = NumberField(x^2+47)
sage: R.<X,Y,Z> = K[]
sage: f = X+Y+Z
sage: a = f(t,t,t)
sage: a.parent()
Multivariate Polynomial Ring in X, Y, Z over Number Field in t with
defining polynomial x^2 + 47
}}}
It is also inconsistent:
{{{
sage: R.<X,Y,Z> = QQ[]
sage: f = X+Y+Z
sage: a = f(2,3,4)
sage: a.parent()
Rational Field
}}}
This causes strange bugs -- see #8498 for an example.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8502>
Sage <http://www.sagemath.org>
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