Home Online Manual
Top
Back: nHilbertBasis
Forward: nLatticePoints
FastBack:
FastForward:
Up: polymake_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.13.2.48 nInteriorLatticePoints

Procedure from library polymake.lib (see polymake_lib).

Usage:
nInteriorLatticePoints(p); p polytope

Assume:
isBounded(p)==1

Return:
int, the number of lattice points in the relative interior 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);
nInteriorLatticePoints(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/
==> 
==> 1
intmat N[2][3]=
1,2,0,
1,0,2;
polytope q = polytopeViaPoints(N);
nInteriorLatticePoints(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.
==> 1