/* 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.
--------------------------------------------------------------------------------
*/

#include "polymake/client.h"
#include "polymake/PowerSet.h"
#include "polymake/topaz/graph.h"
#include "polymake/topaz/complex_tools.h"

namespace polymake { namespace topaz {

Graph<> dual_graph(const FacetList& C)
{
   Graph<> DG(C.size());

   for (Entire<FacetList>::const_iterator facet=entire(C);  !facet.at_end();  ++facet)
      for (Entire< Subsets_less_1<FacetList::const_reference> >::iterator face=entire(all_subsets_less_1(*facet));
           !face.at_end();  ++face)
         for (FacetList::superset_iterator neighbor_facet=C.findSupersets(*face);  !neighbor_facet.at_end();  ++neighbor_facet)
            if ( (&*facet != &*neighbor_facet) && (neighbor_facet->size() == facet->size()))
               DG.edge(facet.index(), neighbor_facet.index());

   return DG;
}

FunctionTemplate4perl("vertex_graph(*)");
Function4perl(&dual_graph, "dual_graph");

} }

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