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D.13.4.28 isCanonical
Procedure from library polymake.lib (see polymake_lib).
- Usage:
- isCanonical(p); p polytope
- Return:
- 1, if p has exactly one interior lattice point; 0 otherwise
Example:
| LIB "polymake.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
intmat M[6][4]=
1,1,1,2,
1,-1,-1,-2,
1,1,0,0,
1,-1,0,0,
1,0,1,0,
1,0,-1,0;
polytope p = polytopeViaPoints(M);
isCanonical(p);
==> 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_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
isReflexive(p);
==> 0
intmat N[3][3]=
1,2,0,
1,0,2,
1,-2,-2;
polytope q = polytopeViaPoints(N);
isCanonical(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.
==> 0
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