#10716: Adding a weighted_degree function to Singular multivariate polynomials
-------------------------------------+-------------------------------------
       Reporter:  jsrn               |        Owner:  AlexGhitza
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.3
      Component:  algebraic          |   Resolution:
  geometry                           |    Merged in:
       Keywords:  multivariate       |    Reviewers:  Marshall Hampton
  polynomials,degree,Singular        |  Work issues:
        Authors:  Johan S. R.        |       Commit:
  Nielsen, Luis Felipe Tabera        |  811b79657358bcc6c1201715cd35ffab9a42e346
  Alonso                             |     Stopgaps:
Report Upstream:  N/A                |
         Branch:                     |
  u/lftabera/weighted_degree         |
   Dependencies:                     |
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Comment (by lftabera):

 I created another method substitutying the Integer with int. Then used the
 following code. To get an idea.

 {{{
 sage: K1=QQ['x,y']
 sage: K2=PolynomialRing(QQ,'a',5)
 sage: K3=PolynomialRing(QQ,'b',30)
 sage: f=K1.random_element()
 sage: g=K2.random_element(degree=10,terms=24)
 sage: h=K3.random_element(degree=100,terms=10**5) #quite long time
 sage: vf=random_vector(ZZ,2)
 sage: vg=random_vector(ZZ,20)
 sage: vh=random_vector(ZZ,30)
 sage: %timeit f.weighted_degree(vf)
 sage: %timeit f.weighted_degree_int(vf)
 sage: %timeit g.weighted_degree(vg)
 sage: %timeit g.weighted_degree_int(vg)
 sage: %timeit h.weighted_degree(vh)
 sage: %timeit h.weighted_degree(vh)
 }}}

 I do not have a strong opinion. Integer does not overflow, but int is
 faster (but also slow) and behaves like degree method (also returns int).

--
Ticket URL: <http://trac.sagemath.org/ticket/10716#comment:33>
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