Singular

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 ```