D.16.2.26 latticeVolume

Syntax:

Polymake::latticeVolume( polytope p )

Assume:

p bounded.

Type:

int

Purpose:

the lattice volume of p.

Example:

LIB"polymake.lib"; ==> Welcome to polymake ==> Copyright (c) 1997-2012 ==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt) ==> http://www.polymake.org intmat M[4][3]=1,1,0, 1,1,1, 1,0,1, 1,0,0; polytope p = polytopeViaPoints(M); Polymake::latticeVolume(p); ==> polymake: used package cdd ==> cddlib ==> Implementation of the double description method of Motzkin et al. ==> Copyright by Komei Fukuda. ==> http://www.ifor.math.ethz.ch/~fukuda/cdd_home/cdd.html ==> ==> 2 intmat N[4][3]=1,1,0, 1,2,1, 1,0,1, 1,0,0; polytope q = polytopeViaPoints(N); Polymake::latticeVolume(q); ==> 3 intmat W[4][4]=1,1,0,0, 1,0,1,0, 1,0,0,1, 1,0,0,0; polytope r = polytopeViaPoints(W); Polymake::latticeVolume(r); ==> 1