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D.13.4.49 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
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