#  Copyright (c) 1997-2015
#  Ewgenij Gawrilow, Michael Joswig (Technische Universitaet Berlin, Germany)
#  http://www.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 Cone{

	#rule PSEUDOVERTEX_LABELS : PSEUDOVERTEX_COVECTORS {
	#	$this->PSEUDOVERTEX_LABELS(temporary)=[ map { join("", @$_) } @{$this->PSEUDOVERTEX_COVECTORS} ];
	#}

	rule PROJECTIVE_AMBIENT_DIM : POINTS {
		$this->PROJECTIVE_AMBIENT_DIM=$this->POINTS->cols-1;
	}
	weight 0.1;

   rule PROJECTIVE_AMBIENT_DIM : PSEUDOVERTICES {
      $this->PROJECTIVE_AMBIENT_DIM=$this->PSEUDOVERTICES->cols-2;
   }
   weight 0.1;

	rule VERTICES, VERTICES_IN_POINTS : POINTS {
		discard_non_vertices($this);
	}
	weight 1.20;

	rule ENVELOPE.INEQUALITIES, ENVELOPE.EQUATIONS : POINTS{
		$this->ENVELOPE = envelope($this->POINTS);
	}

	rule DOME : POINTS {
		$this->DOME = dome_hyperplane_arrangement($this->POINTS);
	}

	rule PSEUDOVERTICES, MAXIMAL_COVECTOR_CELLS : DOME {
		extract_pseudovertices($this);
	}

	rule TORUS_COVECTOR_DECOMPOSITION, CONE_COVECTOR_DECOMPOSITION, CONE_MAXIMAL_COVECTOR_CELLS, MAXIMAL_COVECTORS, CONE_MAXIMAL_COVECTORS : POINTS, PSEUDOVERTICES, PSEUDOVERTEX_COVECTORS, MAXIMAL_COVECTOR_CELLS {
		compute_covector_decomposition($this,0);
	}
	weight 6.20;

	rule CONE_COVECTOR_DECOMPOSITION, CONE_MAXIMAL_COVECTOR_CELLS, CONE_MAXIMAL_COVECTORS : POINTS, PSEUDOVERTICES, PSEUDOVERTEX_COVECTORS, MAXIMAL_COVECTOR_CELLS {
		compute_covector_decomposition($this,1);
	}
	weight 6.10;

	rule MAXIMAL_COVECTORS : MAXIMAL_COVECTOR_CELLS, PSEUDOVERTICES, POINTS {
		compute_maximal_covectors($this);
	}	
	weight 2.10;

	rule PSEUDOVERTEX_COVECTORS : PSEUDOVERTICES, POINTS {
		$this->PSEUDOVERTEX_COVECTORS=covectors_of_scalar_vertices($this->PSEUDOVERTICES, $this->POINTS);
	}
	weight 1.10;

	rule PSEUDOVERTEX_COARSE_COVECTORS : PSEUDOVERTICES, POINTS {
		$this->PSEUDOVERTEX_COARSE_COVECTORS=coarse_covectors_of_scalar_vertices($this->PSEUDOVERTICES, $this->POINTS);
	}
	weight 1.10;


}


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