Singular

LIB "gitfan.lib";
intmat Q[3][4] =
1,0,1,0,
0,1,0,1,
0,0,1,1;
ring R = 0,T(1..4),dp;
ideal a = 0;
gitFan(a, Q);
==> cones found: 1
==> cones found: 2
==> cones found: 3
==> cones found: 4
==> _application PolyhedralFan
==> _version 2.2
==> _type PolyhedralFan
==> 
==> AMBIENT_DIM
==> 3
==> 
==> DIM
==> 3
==> 
==> LINEALITY_DIM
==> 0
==> 
==> RAYS
==> 0 1 0	# 0
==> 0 1 1	# 1
==> 1 0 0	# 2
==> 1 0 1	# 3
==> 1 1 1	# 4
==> 
==> N_RAYS
==> 5
==> 
==> LINEALITY_SPACE
==> 
==> ORTH_LINEALITY_SPACE
==> -1 0 0	# 0
==> 0 -1 0	# 1
==> 0 0 -1	# 2
==> 
==> F_VECTOR
==> 1 5 8 4
==> 
==> SIMPLICIAL
==> 1
==> 
==> PURE
==> 1
==> 
==> CONES
==> {}	# Dimension 0
==> {0}	# Dimension 1
==> {1}
==> {2}
==> {3}
==> {4}
==> {0 1}	# Dimension 2
==> {0 2}
==> {1 3}
==> {0 4}
==> {1 4}
==> {2 3}
==> {2 4}
==> {3 4}
==> {0 1 4}	# Dimension 3
==> {0 2 4}
==> {1 3 4}
==> {2 3 4}
==> 
==> MAXIMAL_CONES
==> {0 1 4}	# Dimension 3
==> {0 2 4}
==> {1 3 4}
==> {2 3 4}
==> 
// 2nd example //
kill Q;
intmat Q[3][6] =
1,1,0,0,-1,-1,
0,1,1,-1,-1,0,
1,1,1,1,1,1;
ring R = 0,T(1..6),dp;
==> // ** redefining R (ring R = 0,T(1..6),dp;)
ideal a = T(1)*T(6) + T(2)*T(5) + T(3)*T(4);
int t = rtimer;
fan F = gitFan(a, Q);
==> cones found: 1
==> cones found: 2
==> cones found: 3
==> cones found: 4
==> cones found: 5
==> cones found: 6
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==> cones found: 8
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==> cones found: 12
==> cones found: 13
t = rtimer - t;
int tt = rtimer;
fan F = gitFan(a, Q, 4);
==> // ** redefining F (fan F = gitFan(a, Q, 4);)
==> cones found: 1
tt = rtimer - tt;
t;
==> 0
tt;
==> 0
"--------";
==> --------
kill R, Q, t, tt;
// next example //
ring R = 0,T(1..10),dp;
ideal a = T(5)*T(10)-T(6)*T(9)+T(7)*T(8),
T(1)*T(9)-T(2)*T(7)+T(4)*T(5),
T(1)*T(8)-T(2)*T(6)+T(3)*T(5),
T(1)*T(10)-T(3)*T(7)+T(4)*T(6),
T(2)*T(10)-T(3)*T(9)+T(4)*T(8);
bigintmat Q[4][10] =
1,0,0,0,1,1,1,0,0,0,
0,1,0,0,1,0,0,1,1,0,
0,0,1,0,0,1,0,1,0,1,
0,0,0,1,0,0,1,0,1,1;
int t = rtimer;
fan F = gitFan(a, Q);
==> // ** redefining F (fan F = gitFan(a, Q);)
==> cones found: 1
==> cones found: 2
==> cones found: 3
==> cones found: 4
==> cones found: 5
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t = rtimer - t;
int tt = rtimer;
fan F = gitFan(a, Q, 4);
==> // ** redefining F (fan F = gitFan(a, Q, 4);)
==> cones found: 1
==> cones found: 2
==> cones found: 3
==> cones found: 4
==> cones found: 5
==> cones found: 6
==> cones found: 7
==> cones found: 8
==> cones found: 9
==> cones found: 10
==> cones found: 11
==> cones found: 12
tt = rtimer - tt;
t;
==> 1
tt;
==> 0
"--------";
==> --------
kill R, Q, t, tt;
// next example //
ring R = 0,T(1..15),dp;
ideal a =
T(1)*T(10)-T(2)*T(7)+T(3)*T(6),
T(1)*T(11)-T(2)*T(8)+T(4)*T(6),
T(1)*T(12)-T(2)*T(9)+T(5)*T(6),
T(1)*T(13)-T(3)*T(8)+T(4)*T(7),
T(1)*T(14)-T(3)*T(9)+T(5)*T(7),
T(1)*T(15)-T(4)*T(9)+T(5)*T(8),
T(2)*T(13)-T(3)*T(11)+T(4)*T(10),
T(2)*T(14)-T(3)*T(12)+T(5)*T(10);
bigintmat Q[5][15] =
1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,
0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,
0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,
0,0,0,0,1,0,0,0,1,0,0,1,0,1,1;
int t = rtimer;
fan F = gitFan(a, Q);
==> // ** redefining F (fan F = gitFan(a, Q);)
==> cones found: 1
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t = rtimer - t;
int tt = rtimer;
fan F = gitFan(a, Q, 4);
==> // ** redefining F (fan F = gitFan(a, Q, 4);)
==> cones found: 1
==> cones found: 2
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==> cones found: 445
==> cones found: 446
==> cones found: 447
==> cones found: 448
==> cones found: 449
==> cones found: 450
==> cones found: 451
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==> cones found: 453
==> cones found: 454
==> cones found: 455
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==> cones found: 501
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==> cones found: 503
==> cones found: 504
==> cones found: 505
==> cones found: 506
tt = rtimer - tt;
t;
==> 72
tt;
==> 72