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

#include "polymake/client.h"
#include "polymake/Matrix.h"
#include "polymake/Array.h"
#include "polymake/Rational.h"
#include "polymake/Set.h"

namespace polymake { namespace matroid {

Array<Set<Int>> bases_from_matroid_polytope(const Matrix<Rational>& verts)
{
  Array<Set<Int>> bases(verts.rows());

  for (Int i = 0; i < verts.rows(); ++i) {
     Set<Int> b;
     for (Int j = 1; j < verts.cols(); ++j)
        if (verts(i, j) != 0) b.insert(j-1);
     bases[i] = b;
  }

  return bases;
}

BigObject matroid_from_matroid_polytope(BigObject p)
{
  const Int n_elements = p.call_method("AMBIENT_DIM");
  return BigObject("Matroid",
                   "BASES", bases_from_matroid_polytope(p.give("VERTICES")),
                   "N_ELEMENTS", n_elements,
                   "POLYTOPE", p);
}

Function4perl(&bases_from_matroid_polytope, "bases_from_matroid_polytope");
UserFunction4perl("# @category Producing a matroid from other objects\n"
                  "# Creates a matroid from the corresponding matroid\n"
                  "# polytope //p//.\n"
                  "# @param polytope::Polytope p"
                  "# @return Matroid",
                  &matroid_from_matroid_polytope, "matroid_from_matroid_polytope(polytope::Polytope)");
} }

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