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# Copyright (c) 1997-2024
# Ewgenij Gawrilow, Michael Joswig, and the polymake team
# Technische Universität Berlin, Germany
# https://polymake.org
#
# This program is free software; you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by the
# Free Software Foundation; either version 2, or (at your option) any
# later version: http://www.gnu.org/licenses/gpl.txt.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#-------------------------------------------------------------------------------
object polytope::Polytope {
# @category Visualization
# Visualize the [[BOUNDED_COMPLEX.GRAPH]] of a polyhedron.
# @option Int seed random seed value for the string embedder
# @return Visual::PolytopeGraph
user_method VISUAL_BOUNDED_GRAPH(%Visual::Graph::decorations, { seed => undef }) {
my ($this, $decor, $seed)=@_;
my $VG=$this->BOUNDED_COMPLEX->GRAPH->VISUAL( Name => $this->name,
exists $decor->{NodeBorderColor} ? () : (NodeColor => $Visual::Color::vertices),
$decor, $seed );
visualize( new Visual::PolytopeGraph( Name => "Bounded graph of " . $this->name,
Polytope => $this,
bounded => 1,
$VG ));
}
}
package Visual::PolytopeGraph;
# Produce an edge coloring of a bounded graph from local data in the Hasse diagram.
# @return Visual::PolytopeGraph
user_method EDGE_COLORS {
my ($self)=@_;
my $ts=$self->Polytope;
my $dim = $ts->CONE_DIM-2;
my @dim_colors=map {
my $red = ($dim-$_)/($dim-1);
new RGB($red,0.0,1-$red);
} 1..$dim;
my @edge_colors=map { $dim_colors[$_-1] } @{$ts->BOUNDED_COMPLEX->GRAPH->EDGE_COLORS};
$self->basis_graph->merge(EdgeColor => \@edge_colors);
visualize($self);
}
# Local Variables:
# mode: perl
# c-basic-offset:3
# End:
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