4.24.2 polytopeViaInequalities

Syntax:

polytopeViaInequalities( intmat IE )
polytopeViaInequalities( intmat IE, intmat E )
polytopeViaInequalities( intmat IE, intmat E, int flags )

Type:

cone

Purpose:

cone consisting of all points x, such that IE*x >= 0 in each component and (if stated) E*x = 0; flags may range between 0,..,3 defining an upper and lower bit (0=0*2+0, 1=0*2+1, 2=1*2+0, 3=1*2+1), if higher bit is 1, then program assumes each inequality yields a facet, if lower bit is 1, then program assumes the kernel of E is the span of the cone, if either bit is 0, then program computes the information itself.

Example:

LIB"gfanlib.so"; intmat IE[2][3]= 1,0,0, 0,1,0; intmat E[1][3]= 0,0,1; polytope p=polytopeViaInequalities(IE,E); p; ==> AMBIENT_DIM ==> 2 ==> INEQUALITIES ==> 0,1,0, ==> 1,0,0 ==> EQUATIONS ==> 0,0,1 ==>