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

#include "polymake/client.h"
#include "polymake/list"
#include "polymake/Vector.h"
#include "polymake/Matrix.h"
#include "polymake/Array.h"
#include "polymake/Set.h"
#include "polymake/TropicalNumber.h"

namespace polymake { namespace matroid {

/**
 * @brief Computes [[CIRCUITS]] and [[N_ELEMENTS]] from [[VALUATION_ON_CIRCUITS]].
 */
template <typename Addition, typename Scalar>
void circuits_supports(BigObject vm)
{
  // Extract valuated circuits
  Matrix<TropicalNumber<Addition,Scalar> > valuation = vm.give("VALUATION_ON_CIRCUITS");

  Array<Set<Int>> circuits(valuation.rows());
  for (Int r = 0; r < valuation.rows(); ++r) {
    Set<Int> c;
    for (Int i = 0; i < valuation.cols(); ++i) {
      if (TropicalNumber<Addition,Scalar>::zero() != valuation(r, i)) c += i;
    }
    circuits[r] = c;
  }

  vm.take("CIRCUITS") << circuits;
  vm.take("N_ELEMENTS") << valuation.cols();

}

FunctionTemplate4perl("circuits_supports<Addition,Scalar>(ValuatedMatroid<Addition,Scalar>)");

} }

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