#  Copyright (c) 1997-2021
#  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.
#-------------------------------------------------------------------------------

# @category Combinatorics
declare object CovectorLattice : Lattice<CovectorDecoration, Nonsequential> {

   # @category Combinatorics
	# Each node in the face lattice is a cell of a covector decomposition (of either the tropical torus
	# or the tropical span of some points). This property maps each cell to the corresponding covector.
	# A covector is encoded as an IncidenceMatrix, where rows correspond to coordinates and columns to
	# [[POINTS]].
   # Note that this is already encoded in [[DECORATION]] and mainly kept for convenience and backwards
   # compatibility.
   property COVECTORS : NodeMap<Directed,IncidenceMatrix> : construct(ADJACENCY);

   rule COVECTORS : ADJACENCY, DECORATION {
      $this->COVECTORS(temporary) = covector_map_from_decoration($this->ADJACENCY, $this->DECORATION);
   }
   weight 1.0;

   rule DECORATION, INVERSE_RANK_MAP, TOP_NODE, BOTTOM_NODE : FACES, DIMS, COVECTORS, ADJACENCY {
      migrate_hasse_properties($this);
      $this->remove("DIMS");
      $this->remove("FACES"); #FIXME Does this have an effect?
      $this->remove("COVECTORS");
   }
   weight 1.10;

   # @category Combinatorics
   user_method dim {
      return shift->rank()-1;
   }

   # @category Combinatorics
   user_method nodes_of_dim($) {
      my ($this,$d) = @_;
      return shift->nodes_of_rank($d+1);
   }

   # @category Combinatorics
   user_method nodes_of_dim_range($,$) {
      my ($this,$d1,$d2) = @_;
      return shift->nodes_of_rank_range($d1+1,$d2+1);
   }


}

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