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D.13.2.15 convexIntersection
Procedure from library gfan.lib (see gfan_lib).
- Usage:
- convexIntersection(c1,c2); c1 cone, c2 cone
convexIntersection(c1,p1); c1 cone, p1 polytope
convexIntersection(p1,c1); p1 cone, c1 polytope
convexIntersection(p1,p2); p1 polytope, p2 polytope
- Return:
- cone resp polytope, the convex hull of its two input objects
Example:
| | LIB "gfan.lib";
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
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