bash-3.00$ cat A3 # nr_constraints nr_columns 9 11 # first column: 0: equality; 1: inequality # "variables" first; then the "parameters"; finally the constant 0 1 0 0 1 1 0 -1 0 0 0 0 0 1 0 1 1 1 0 -1 0 0 0 0 0 1 0 1 1 0 0 -1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 # 5 = 1 + 3 + 1 => 3 parameters 0 5 bash-3.00$ ~/obj/barvinok/barvinok_enumerate < A3 POLYHEDRON Dimension:9 Constraints:10 Equations:3 Rays:7 Lines:0 Constraints 10 11 Equality: [ 1 0 0 1 1 0 -1 0 0 0 ] Equality: [ 0 1 0 1 1 1 0 -1 0 0 ] Equality: [ 0 0 1 0 1 1 0 0 -1 0 ] Inequality: [ 0 0 0 -1 -1 0 1 0 0 0 ] Inequality: [ 0 0 0 -1 -1 -1 0 1 0 0 ] Inequality: [ 0 0 0 0 -1 -1 0 0 1 0 ] Inequality: [ 0 0 0 1 0 0 0 0 0 0 ] Inequality: [ 0 0 0 0 1 0 0 0 0 0 ] Inequality: [ 0 0 0 0 0 1 0 0 0 0 ] Inequality: [ 0 0 0 0 0 0 0 0 0 1 ] Rays 7 11 Ray: [ 0 0 0 0 0 1 0 1 1 ] Ray: [ 0 0 0 0 1 0 1 1 1 ] Ray: [ 0 0 0 1 0 0 1 1 0 ] Ray: [ 0 0 1 0 0 0 0 0 1 ] Ray: [ 0 1 0 0 0 0 0 1 0 ] Ray: [ 1 0 0 0 0 0 1 0 0 ] Vertex: [ 0 0 0 0 0 0 0 0 0 ]/1 POLYHEDRON Dimension:3 Constraints:1 Equations:0 Rays:4 Lines:3 Constraints 1 5 Inequality: [ 0 0 0 1 ] Rays 4 5 Line: [ 1 0 0 ] Line: [ 0 1 0 ] Line: [ 0 0 1 ] Vertex: [ 0 0 0 ]/1 P - Q + R -1 >= 0 Q - R -1 >= 0 - P + R -1 >= 0 1 >= 0 ( -1/3 * P^3 + ( 1/2 * Q + -1/2 ) * P^2 + ( -1/2 * Q^2 + ( 1 * R + 1 ) * Q + ( -1/2 * R^2 + 1/2 * R + 5/6 ) ) * P + ( 1/6 * Q^3 + ( -1/2 * R + -1/2 ) * Q^2 + ( 1/2 * R^2 + 1 * R + 1/3 ) * Q + ( -1/6 * R^3 + -1/2 * R^2 + 2/3 * R + 1 ) ) ) P - R >= 0 P - Q + R -1 >= 0 - P + Q -1 >= 0 1 >= 0 ( -1/6 * P^3 + ( 1/2 * Q + ( -1/2 * R + -1/2 ) ) * P^2 + ( -1/2 * Q^2 + ( 1 * R + 1 ) * Q + ( 1/2 * R + 2/3 ) ) * P + ( 1/6 * Q^3 + ( -1/2 * R + -1/2 ) * Q^2 + ( 1/2 * R^2 + 1 * R + 1/3 ) * Q + ( -1/3 * R^3 + -1/2 * R^2 + 5/6 * R + 1 ) ) ) P - Q >= 0 R >= 0 Q - R -1 >= 0 1 >= 0 ( ( 1/2 * R^2 + 3/2 * R + 1 ) * Q + ( -1/3 * R^3 + -1/2 * R^2 + 5/6 * R + 1 ) ) - Q + R >= 0 P >= 0 - P + Q -1 >= 0 1 >= 0 ( -1/3 * P^3 + ( 1/2 * Q + -1/2 ) * P^2 + ( 3/2 * Q + 5/6 ) * P + ( 1 * Q + 1 ) ) - Q + R >= 0 P - Q >= 0 Q >= 0 1 >= 0 ( 1/6 * Q^3 + 1 * Q^2 + 11/6 * Q + 1 ) - P + Q - R >= 0 P >= 0 - P + R -1 >= 0 1 >= 0 ( -1/6 * P^3 + ( 1/2 * R + 0 ) * P^2 + ( 3/2 * R + 7/6 ) * P + ( 1 * R + 1 ) ) - P + Q - R >= 0 P - R >= 0 R >= 0 1 >= 0 ( ( 1/2 * R^2 + 3/2 * R + 1 ) * P + ( -1/6 * R^3 + 0 * R^2 + 7/6 * R + 1 ) )