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D.13.6.33 randomPolyInT

Procedure from library tropical.lib (see tropical_lib).

Usage:
randomPolyInT(d,ug,og[,#]); d, ug, og int, # list

Assume:
the basering has a parameter t

Return:
poly, a polynomial of degree d where the coefficients are of the form t^j with j a random integer between ug and og

Note:
if an optional argument # is given, then the coefficients are instead either of the form t^j as above or they are zero, and this is chosen randomly

Example:
 
LIB "tropical.lib";
ring r=(0,t),(x,y),dp;
randomPolyInT(3,-2,5);
==> (t5)*x3+1/(t2)*x2y+(t3)*xy2+(t4)*y3+1/(t)*x2+(t5)*xy+y2+1/(t2)*x+1/(t)*y+\
   1
randomPolyInT(3,-2,5,1);
==> (t4)*y3+1/(t)*x2+(t2)*xy+(t2)*y2+(t3)*x