# NConvex, single 5
#
# DO NOT EDIT THIS FILE - EDIT EXAMPLES IN THE SOURCE INSTEAD!
#
# This file has been generated by AutoDoc. It contains examples extracted from
# the package documentation. Each example is preceded by a comment which gives
# the name of a GAPDoc XML file and a line range from which the example were
# taken. Note that the XML file in turn may have been generated by AutoDoc
# from some other input.
#
gap> START_TEST("nconvex05.tst");
# doc/_Chunks.xml:275-313
gap> P := Polyhedron( [ [ 1, 1 ], [ 4, 7 ] ], [ [ 1, -1 ], [ 1, 1 ] ] );
<A polyhedron in |R^2>
gap> VerticesOfMainRatPolytope( P );
[ [ 1, 1 ], [ 4, 7 ] ]
gap> VerticesOfMainPolytope( P );
[ [ 1, 1 ], [ 4, 7 ] ]
gap> P := Polyhedron( [ [ 1/2, 1/2 ] ], [ [ 1, 1 ] ] );
<A polyhedron in |R^2>
gap> VerticesOfMainRatPolytope( P );
[ [ 1/2, 1/2 ] ]
gap> VerticesOfMainPolytope( P );
[ [ 1, 1 ] ]
gap> LatticePointsGenerators( P );
[ [ [ 1, 1 ] ], [ [ 1, 1 ] ], [ ] ]
gap> Dimension( P );
1
gap> Q := Polyhedron( [ [ 5, 0 ], [ 0, 6 ] ], [ [ 1, 2 ] , [ -1, -2 ] ] );
<A polyhedron in |R^2>
gap> VerticesOfMainRatPolytope( Q );
[ [ 0, 6 ], [ 5, 0 ] ]
gap> V := VerticesOfMainPolytope( Q );
[ [ 0, 6 ], [ 5, 0 ] ]
gap> L := LatticePointsGenerators( Q );
[ [ [ 0, -10 ], [ 0, -9 ], [ 0, -8 ], [ 0, -7 ], [ 0, -6 ],
[ 0, -5 ], [ 0, -4 ], [ 0, -3 ], [ 0, -2 ], [ 0, -1 ],
[ 0, 0 ], [ 0, 1 ], [ 0, 2 ], [ 0, 3 ], [ 0, 4 ],
[ 0, 5 ], [ 0, 6 ] ], [ ], [ [ 1, 2 ] ] ]
gap> Dimension( Q );
2
gap> RayGeneratorsOfTailCone( Q );
[ [ -1, -2 ], [ 1, 2 ] ]
gap> BasisOfLinealitySpace( Q );
[ [ 1, 2 ] ]
gap> DefiningInequalities( Q );
[ [ 6, 2, -1 ], [ 10, -2, 1 ] ]
gap> Q;
<A polyhedron in |R^2 of dimension 2>
#
gap> STOP_TEST("nconvex05.tst", 1);
