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D.13.2.19 faceContaining
Procedure from library gfan.lib (see gfan_lib).
- Usage:
- faceContaining(c,w); c cone, w intvec/bigintmat
- Assume:
- containsInSupport(c,w)==1
- Return:
- cone, the face of c containing w in its relative interior
Example:
| | LIB "gfan.lib";
intmat M[2][2]=
1,0,
0,1;
cone c=coneViaPoints(M);
faceContaining(c,intvec(1,0));
==> AMBIENT_DIM
==> 2
==> INEQUALITIES
==> 1,0
==> LINEAR_SPAN
==> 0,1
==>
faceContaining(c,intvec(0,1));
==> AMBIENT_DIM
==> 2
==> INEQUALITIES
==> 0,1
==> LINEAR_SPAN
==> 1,0
==>
faceContaining(c,intvec(1,1));
==> AMBIENT_DIM
==> 2
==> INEQUALITIES
==> 0,1,
==> 1,0
==> LINEAR_SPAN
==>
==>
faceContaining(c,intvec(0,0));
==> AMBIENT_DIM
==> 2
==> INEQUALITIES
==>
==> LINEAR_SPAN
==> 1,0,
==> 0,1
==>
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