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D.13.2.42 latticePoints
Procedure from library polymake.lib (see polymake_lib).
- Usage:
- latticePoints(p); p polytope
- Assume:
- isBounded(p)==1
- Return:
- intmat, all lattice points in p
Example:
| LIB "polymake.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
intmat M[3][3]=
1,2,-1,
1,-1,2,
1,-1,-1;
polytope p = polytopeViaPoints(M);
latticePoints(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
==>
==> polymake: used package ppl
==> The Parma Polyhedra Library (PPL): A C++ library for convex polyhedra
==> and other numerical abstractions.
==> http://www.cs.unipr.it/ppl/
==>
==> 1,-1,-1,
==> 1,-1,0,
==> 1,-1,1,
==> 1,-1,2,
==> 1,0,-1,
==> 1,0,0,
==> 1,0,1,
==> 1,1,-1,
==> 1,1,0,
==> 1,2,-1
intmat N[2][3]=
1,2,0,
1,0,2;
polytope q = polytopeViaPoints(N);
latticePoints(q);
==> 1,0,2,
==> 1,1,1,
==> 1,2,0
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