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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.
#-------------------------------------------------------------------------------
use Visual::Gale;
# @topic objects/Visual::Gale
# @category Visualization
# A gale diagram prepared for drawing.
# @super Visual::Object
object Polytope {
# @category Geometry
# Coordinates of the Gale transform.
property GALE_TRANSFORM : Matrix<Scalar>;
# @category Visualization
# Coordinates of points for an affine Gale diagram.
property GALE_VERTICES : Matrix<Float>;
rule GALE_TRANSFORM : VERTICES {
$this->GALE_TRANSFORM=transpose(null_space(transpose($this->VERTICES)));
}
precondition : BOUNDED;
rule GALE_VERTICES : GALE_TRANSFORM {
$this->GALE_VERTICES(temporary)=gale_vertices($this->GALE_TRANSFORM);
}
# @category Visualization
# Generate the Gale diagram of a //d//-polyhedron with at most //d+4// vertices.
# @return Visual::Gale
user_method GALE (%Visual::Gale::decorations) : GALE_TRANSFORM, GALE_VERTICES, VERTICES_IN_FACETS {
my ($this, $decor)=@_;
my $d=$this->GALE_TRANSFORM->cols;
if ($d<2 || $d>3) {
print "Visualization of 1- and 2-dimensional affine Gale diagrams only.\n";
0;
} else {
visualize( new Visual::Gale(
Name => $this->name,
Title => "Gale diagram of " . $this->name,
VertexLabels => $this->lookup("VERTEX_LABELS"),
Polytope => $this,
$decor
));
}
}
}
object VectorConfiguration {
# @category Geometry
# Coordinates of the Gale transform.
property GALE_TRANSFORM : Matrix<Scalar>;
rule GALE_TRANSFORM : VECTORS {
$this->GALE_TRANSFORM=transpose(null_space(transpose($this->VECTORS)));
}
}
# Local Variables:
# mode: perl
# c-basic-offset:3
# End:
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