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D.13.2.14 latticeArea

Procedure from library polymake.lib (see polymake_lib).

Usage:
latticeArea(polygon); polygon list

Assume:
polygon is a list of integer vectors in the plane

Return:
int, the lattice area of the convex hull of the lattice points in polygon, i.e. twice the Euclidean area

Example:
 
LIB "polymake.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
// define a polygon with lattice area 5
list polygon=intvec(1,2),intvec(1,0),intvec(2,0),intvec(1,1),
intvec(2,1),intvec(0,0);
latticeArea(polygon);
==> 5