NormalizationPackage(R, E, V, P, TS)

nregset.spad line 35 [edit on github]

• R: GcdDomain

• E: OrderedAbelianMonoidSup

• V: OrderedSet

• P: RecursivePolynomialCategory(R, E, V)

• TS: RegularTriangularSetCategory(R, E, V, P)

A package for computing normalized associates of univariate polynomials with coefficients in a tower of simple extensions of a field.

normalize: (P, TS) -> List Record(val: P, tower: TS)

normalize(p, ts) normalizes p w.r.t ts.

normalizedAssociate: (P, TS) -> P

normalizedAssociate(p, ts) returns a normalized polynomial n w.r.t. ts such that n and p are associates w.r.t ts and assuming that p is invertible w.r.t ts.

normInvertible?: (P, TS) -> List Record(val: Boolean, tower: TS)

normInvertible?(p, ts) is an internal subroutine, exported only for development.

outputArgs: (String, String, P, TS) -> Void

outputArgs(s1, s2, p, ts) is an internal subroutine, exported only for development.

recip: (P, TS) -> Record(num: P, den: P)

recip(p, ts) returns the inverse of p w.r.t ts assuming that p is invertible w.r.t ts.