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D.2.9.2 randomid
Procedure from library random.lib (see random_lib).
- Usage:
- randomid(id[,k,b]); id ideal/module, b,k integers
- Return:
- ideal/module having k generators which are random linear combinations
of generators of id with coefficients in the interval [-b,b]
(default: b=30000, k=size(id))
- Note:
- For performance reasons try small bound b in characteristic 0
Example:
| | LIB "random.lib";
ring r=0,(x,y,z),dp;
randomid(maxideal(2),2,9);
==> _[1]=-5x2-9xy+6y2-8xz-8yz+4z2
==> _[2]=-9xy+2y2+xz+yz-z2
module m=[x,0,1],[0,y2,0],[y,0,z3];
show(randomid(m));
==> // module, 3 generator(s)
==> [1369x-11685y,-4481y2,-11685z3+1369]
==> [-642x-13756y,25342y2,-13756z3-642]
==> [2536x-6355y,8285y2,-6355z3+2536]
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