D.13.6.38 initial

Usage:

initial(f,w); f poly, w intvec or bigintmat
initial(I,w); I ideal, w intvec or bigintmat

Assume:

I reduced Groebner basis,
w in the maximal Groebner cone of I with respect to the current ordering

Return:

poly or ideal, the initial form of f or the initial ideal of I with respect to w

LIB "tropical.lib";
ring r = 0,(x,y,z),dp;
ideal I = cyclic(3);
intvec w = 1,1,1;
option(redSB);
ideal stdI = std(I);
stdI;
ideal inI = initial(stdI,w);
inI;