Singular

D.13.6.11 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";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
ring r=(0,t),(x,y),dp;
tropicalise(2t3x2-1/t*xy+2t3y2+(3t3-t)*x+ty+(t6+1));
==> [1]:
==>    2*x+3
==> [2]:
==>    x+y-1
==> [3]:
==>    2*y+3
==> [4]:
==>    x+1
==> [5]:
==>    y+1
==> [6]:
==>    0