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D.13.2.49 nLatticePoints

Procedure from library polymake.lib (see polymake_lib).

Usage:
nLatticePoints(p); p polytope

Assume:
isBounded(p)==1

Return:
intmat, the number of 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);
nLatticePoints(p);
==> polymake:  WARNING: rule latte.integer_points: N_LATTICE_POINTS : CONE_AM\
   BIENT_DIM, CONE_DIM, FACETS | INEQUALITIES failed: can't parse output fro\
   m LattE's 'count'
==> 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/
==> 
==> polymake:  WARNING: rule latte.integer_points: N_LATTICE_POINTS : CONE_AM\
   BIENT_DIM , VERTICES failed: can't parse output from LattE's 'count'
==> polymake:  WARNING: rule latte.ehrhartpoly: LATTICE, EHRHART_POLYNOMIAL_C\
   OEFF : CONE_AMBIENT_DIM, FACETS | INEQUALITIES failed: could not parse ou\
   tput from latte at /usr/share/polymake/apps/polytope/rules/latte.rules li\
   ne 231.
==> 10
intmat N[2][3]=
1,2,0,
1,0,2;
polytope q = polytopeViaPoints(N);
nLatticePoints(q);
==> polymake:  WARNING: rule latte.integer_points: N_LATTICE_POINTS : CONE_AM\
   BIENT_DIM, CONE_DIM, FACETS | INEQUALITIES failed: can't parse output fro\
   m LattE's 'count'
==> polymake:  WARNING: rule latte.ehrhartpoly: LATTICE, EHRHART_POLYNOMIAL_C\
   OEFF : CONE_AMBIENT_DIM, FACETS | INEQUALITIES failed: could not parse ou\
   tput from latte at /usr/share/polymake/apps/polytope/rules/latte.rules li\
   ne 231.
==> 3