D.2.4.13 locusto

Usage:

locusto(list L);
The argument must be the output of locus or locusdg or envelop. It transforms the output into a string in standard form readable in other languages, not only Singular
(Geogebra).

Return:

The locus in string standard form

Note:

It can only be called after computing either
- locus(F) -> locusto( locus(F) )
- locusdg(locus(F)) -> locusto( locusdg(locus(F)) )
- envelop(F,C) -> locusto( envelop(F,C) )

LIB "grobcov.lib";
if(defined(R)){kill R;}
ring R=(0,x,y),(x1,y1),dp;
short=0;
ideal S=x1^2+y1^2-4,(y-2)*x1-x*y1+2*x,(x-x1)^2+(y-y1)^2-1;
def L=locus(S);
locusto(L);
==> [[[(x^4+2*x^2*y^2-9*x^2+y^4-9*y^2+4*y+12)],[[1]]],[[1],[Normal],[x1^2+y1^\
   2-4]]],[[(x^2+y^2-4*y+3)],[[1]]],[[0],[Special],[y1^2-3*y1+2,x1*y1-x1,x1^\
   2+3*y1-6]]]]
locusto(locusdg(L));
==> [[[(x^4+2*x^2*y^2-9*x^2+y^4-9*y^2+4*y+12)],[[1]]],[[1],[Relevant],[x1^2+y\
   1^2-4]]]]