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D.13.2.45 fanViaCones

Procedure from library gfan.lib (see gfan_lib).

Usage:
fanViaCones(L); L list
fanViaCones(c1[,...,ck]); c1,...,ck cones

Return:
fan, creates a fan generated by the cones in L resp c1,...,ck

Example:
 
LIB "gfan.lib";
intmat M[2][2]=1,0,0,1;
cone c=coneViaPoints(M);
intmat N[2][2]=1,0,0,-1;
cone d=coneViaPoints(N);
fan f=fanViaCones(c,d);
f;
==> _application PolyhedralFan
==> _version 2.2
==> _type PolyhedralFan
==> 
==> AMBIENT_DIM
==> 2
==> 
==> DIM
==> 2
==> 
==> LINEALITY_DIM
==> 0
==> 
==> RAYS
==> 0 -1	# 0
==> 0 1	# 1
==> 1 0	# 2
==> 
==> N_RAYS
==> 3
==> 
==> LINEALITY_SPACE
==> 
==> ORTH_LINEALITY_SPACE
==> -1 0	# 0
==> 0 -1	# 1
==> 
==> F_VECTOR
==> 1 3 2
==> 
==> SIMPLICIAL
==> 1
==> 
==> PURE
==> 1
==> 
==> CONES
==> {}	# Dimension 0
==> {0}	# Dimension 1
==> {1}
==> {2}
==> {0 2}	# Dimension 2
==> {1 2}
==> 
==> MAXIMAL_CONES
==> {0 2}	# Dimension 2
==> {1 2}
==> 
list L=c,d;
fan g=fanViaCones(L);
g;
==> _application PolyhedralFan
==> _version 2.2
==> _type PolyhedralFan
==> 
==> AMBIENT_DIM
==> 2
==> 
==> DIM
==> 2
==> 
==> LINEALITY_DIM
==> 0
==> 
==> RAYS
==> 0 -1	# 0
==> 0 1	# 1
==> 1 0	# 2
==> 
==> N_RAYS
==> 3
==> 
==> LINEALITY_SPACE
==> 
==> ORTH_LINEALITY_SPACE
==> -1 0	# 0
==> 0 -1	# 1
==> 
==> F_VECTOR
==> 1 3 2
==> 
==> SIMPLICIAL
==> 1
==> 
==> PURE
==> 1
==> 
==> CONES
==> {}	# Dimension 0
==> {0}	# Dimension 1
==> {1}
==> {2}
==> {0 2}	# Dimension 2
==> {1 2}
==> 
==> MAXIMAL_CONES
==> {0 2}	# Dimension 2
==> {1 2}
==>