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D.8.2.1 degreepart
Procedure from library presolve.lib (see presolve_lib).
- Usage:
- degreepart(id,d1,d2[,v]); id=ideal/module, d1,d1=integers, v=intvec
- Return:
- list of size 2,
_[1]: generators of id of [v-weighted] total degree >= d1 and <= d2
(default: v = 1,...,1)
_[2]: remaining generators of id
- Note:
- if id is of type int/number/poly it is converted to ideal, if id is
of type intmat/matrix/vector to module and then the corresponding
generators are computed
Example:
| | LIB "presolve.lib";
ring r=0,(x,y,z),dp;
ideal i=1+x+x2+x3+x4,3,xz+y3+z8;
degreepart(i,0,4);
==> [1]:
==> _[1]=x4+x3+x2+x+1
==> _[2]=3
==> [2]:
==> _[1]=z8+y3+xz
module m=[x,y,z],x*[x3,y2,z],[1,x2,z3,0,1];
intvec v=2,3,6;
show(degreepart(m,8,8,v));
==> // list, 2 element(s):
==> [1]:
==> // module, 1 generator(s)
==> [x4,xy2,xz]
==> [2]:
==> // module, 2 generator(s)
==> [x,y,z]
==> [1,x2,z3,0,1]
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