ugly absprec parameter in Polynomial constructor

[sagetrac-dmharvey]

I'm not happy with the profusion of code to deal with the absprec parameter in Polynomial-related code (for example, search for the string "absprec" in sage/rings/polynomial/polynomial_element.pyx). Something feels wrong with this design; the code keeps splitting into branches to deal with "absprec" or "no absprec" cases. I believe the "absprec" parameter has something to do with polynomials over p-adics. There has to be a cleaner way to deal with this issue. Please add comments below.

Component: basic arithmetic

Issue created by migration from https://trac.sagemath.org/ticket/791

[roed314]

Attachment: 791.patch.gz

[aghitza]

rebase of previous patch against 3.3.alpha2

[aghitza]

comment:3

Attachment: 791_rebased.patch.gz

Looks good. I have rebased the patch against 3.3.alpha2, since it got entangled in the whole Sage Days 12 flurry of activity.