Singular

D.13.3.12 tropicalise

Usage:

tropicalise(f[,#]); f polynomial, # optional list

Assume:

f is a polynomial in Q(t)[x_1,...,x_n]

Return:

list, the linear forms of the tropicalisation of f

Note:

if # is empty, then the valuation of t will be 1,
if # is the string 'max' it will be -1;
the latter supposes that we consider the maximum of the computed linear forms, the former that we consider their minimum

LIB "tropical.lib";
ring r=(0,t),(x,y),dp;
tropicalise(2t3x2-1/t*xy+2t3y2+(3t3-t)*x+ty+(t6+1));