#10716: Adding a weighted_degree function to Singular multivariate polynomials
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Reporter: jsrn | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: minor | Milestone:
Component: algebraic geometry | Keywords: multivariate
polynomials,degree,Singular
Work_issues: | Upstream: N/A
Reviewer: Marshall Hampton | Author: Johan S. R. Nielsen
Merged: | Dependencies:
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Comment(by john_perry):
Is there a reason you convert everything to vectors & use a dot_product?
Seeing the concerns about performance -- is type conversion less expensive
than calling prod() or something similar? I don't know about Cython, but
my impression is that in some languages it would be more efficient to
assume you have an iterable & just iterate.
FWIW, this functionality is available in Sage 4.7:
{{{
sage: R.<x,y,z> = GF(7)[]
sage: p = x^3 + y + x*z^2
sage: p.degree()
3
sage: P = PolynomialRing(GF(7),'x,y,z',
....: order=TermOrder(matrix([1,4,2,1,1,0,1,0,0])))
sage: q = P(p)
sage: q.degree()
4
}}}
The relevant code is in sage/libs/singular/polynomial.pyx, where
singular_polynomial_deg manually changes the ring of `p` if it isn't equal
to ring it has at first.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10716#comment:9>
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