Conversion of rationals into the fraction field of integer polynomials

[sagetrac-spancratz]

sage: F = Frac(PolynomialRing(ZZ, 't'))
sage: F(1/2)
...
TypeError: no conversion of this rational to integer

Component: coercion

Author: Sebastian Pancratz, Mike Hansen

Reviewer: Mike Hansen, Sebastian Pancratz

Merged: sage-4.3.2.alpha0

Issue created by migration from https://trac.sagemath.org/ticket/7958

[sagetrac-spancratz]

Attachment: trac7958.patch.gz

[wjp]

comment:3

Your fix does work great for QQ, but this is actually a more general issue than just QQ:

sage: _.<x> = ZZ[]
sage: K.<a> = NumberField(x^2-2)
sage: R.<b> = K.ring_of_integers()
sage: S.<y> = R[]
sage: F = FractionField(S)
sage: F(1)/F(a)
1/a
sage: F(1/a)
*boom*

And a minor issue: I think the comment about QQ should be a code comment rather than in the doctest, since it might now confuse users (who might think they need to handle QQ specially themselves).

[sagetrac-spancratz]

Attachment: trac7958_b.patch.gz

Attachment: trac7958_c.patch.gz