# Singular

#### D.13.2.46 nBoundaryLatticePoints

Procedure from library `polymake.lib` (see polymake_lib).

Usage:
nBoundaryLatticePoints(p); p polytope

Assume:
isBounded(p)==1

Return:
int, the number of lattice points in the relative boundary of 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); nBoundaryLatticePoints(p); ==> polymake: WARNING: rule latte.integer_points: N_INTERIOR_LATTICE_POINTS \ : CONE_AMBIENT_DIM, CONE_DIM, FACETS | INEQUALITIES failed: can't parse o\ utput 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. ==> 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/ ==> ==> 9 intmat N[2][3]= 1,2,0, 1,0,2; polytope q = polytopeViaPoints(N); nBoundaryLatticePoints(q); ==> polymake: WARNING: rule latte.integer_points: N_INTERIOR_LATTICE_POINTS \ : CONE_AMBIENT_DIM, CONE_DIM, FACETS | INEQUALITIES failed: can't parse o\ utput 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. ==> 2 ```