/* Copyright (c) 1997-2020
   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/Vector.h"
#include "polymake/Array.h"
#include "polymake/PowerSet.h"
#include "polymake/linalg.h"

namespace polymake { namespace polytope {

template <typename Scalar>
Array<Int> triang_sign(const Array<Set<Int>>& Triangulation, const GenericMatrix<Scalar>& Points)
{
   Array<Int> signs(Triangulation.size());
   auto s = signs.begin();
   for (auto t = entire(Triangulation);  !t.at_end();  ++t, ++s)
      *s = sign(det(Points.minor(*t,All)));
   return signs;
}


// Point C is assumed to be an interior point of a polytope.
// Since we are interested in simplices visible "from the outside", we invert the signs here.

template <typename Scalar>
Array<Array<Int>> triang_sign(const Array<Set<Int>>& TriangBoundary, const Array<Set<Int>>& facet_triangs, const Matrix<Scalar>& Points, const Vector<Scalar>& C)
{
   Array<Array<Int>> signs(TriangBoundary.size());
   auto sf = signs.begin();
   for (auto facet_t = entire(facet_triangs);  !facet_t.at_end();  ++facet_t, ++sf) {
      sf->resize(facet_t->size());
      auto s = sf->begin();
      for (auto t = entire(*facet_t);  !t.at_end();  ++t, ++s)
         *s = -sign(det(Points.minor(TriangBoundary[*t],All) / C));
   }
   return signs;
}

FunctionTemplate4perl("triang_sign(Array, Matrix)");
FunctionTemplate4perl("triang_sign(Array, Array, Matrix, Vector)");

} }

// Local Variables:
// mode:C++
// c-basic-offset:3
// indent-tabs-mode:nil
// End:
