4.22.3.10 convexIntersection

Syntax:

convexIntersection( cone c1, cone c2 )
convexIntersection( cone c1, polytope p1 )
convexIntersection( polytope p1, cone c1 )
convexIntersection( polytope p1, polytope p2 )

Type:

cone if both input arguments are cones, else polytope

Purpose:

the intersection of the two objects

Example:

LIB"gfanlib.so"; intmat M1[2][2]= 1,0, 0,1; cone c1=coneViaPoints(M1); intmat M2[2][2]= 1,1, 1,-1; cone c2=coneViaPoints(M2); intmat M3[2][2]= 1,0, 0,-1; cone c3=coneViaPoints(M3); cone c12=convexIntersection(c1,c2); c12; ==> AMBIENT_DIM ==> 2 ==> FACETS ==> 0, 1, ==> 1,-1 ==> LINEAR_SPAN ==> ==> print(rays(c12)); ==> 1,0, ==> 1,1 cone c23=convexIntersection(c2,c3); c23; ==> AMBIENT_DIM ==> 2 ==> FACETS ==> 0,-1, ==> 1, 1 ==> LINEAR_SPAN ==> ==> print(rays(c23)); ==> 1, 0, ==> 1,-1 cone c13=convexIntersection(c1,c3); c13; ==> AMBIENT_DIM ==> 2 ==> FACETS ==> 1,0 ==> LINEAR_SPAN ==> 0,1 ==> print(rays(c13)); ==> 1,0