Singular

D.2.4.16 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(grobcov(F)) -> locusto( locus(grobcov(F)) ) - locusdg(locus(grobcov(F))) -> locusto( locusdg(locus(grobcov(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;
locusto(locus(grobcov(S)));
==> [[[(x^4+2*x^2*y^2-9*x^2+y^4-9*y^2+4*y+12)],[[1]]],[Normal],1]],[[(x^2+y^2\
   -4*y+3)],[[1]]],[[Special],[y1-2,x1]],1]]]
locusto(locusdg(locus(grobcov(S))));
==> [[[(x^4+2*x^2*y^2-9*x^2+y^4-9*y^2+4*y+12)],[[1]]],[Relevant],1]]]