ConvexTriangulation.h

// Copyright (C) 2016 Anders Logg, August Johansson and Benjamin Kehlet
//
// This file is part of DOLFIN.
//
// DOLFIN is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// DOLFIN 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 Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with DOLFIN. If not, see <http://www.gnu.org/licenses/>.
//
// First added:  2016-06-01
// Last changed: 2017-09-30
 
#ifndef __CONVEX_TRIANGULATION
#define __CONVEX_TRIANGULATION
 
#include <vector>
#include "Point.h"
 
namespace dolfin
{

 
  class ConvexTriangulation
  {
  public:

    static std::vector<std::vector<Point>>
    triangulate(const std::vector<Point>& p,
                std::size_t gdim,
                std::size_t tdim);

    static std::vector<std::vector<Point>>
    triangulate_1d(const std::vector<Point>& pm,
           std::size_t gdim)
    {
      return _triangulate_1d(pm, gdim);
    }

    static std::vector<std::vector<Point>>
    triangulate_graham_scan_2d(const std::vector<Point>& pm)
    {
      return _triangulate_graham_scan_2d(pm);
    }

    static std::vector<std::vector<Point>>
    triangulate_graham_scan_3d(const std::vector<Point>& pm);

    static bool selfintersects(const std::vector<std::vector<Point>>& p);
 
  private:
 
    // Implementation declarations

    static std::vector<std::vector<Point>>
    _triangulate_1d(const std::vector<Point>& pm,
            std::size_t gdim);

    static std::vector<std::vector<Point>>
    _triangulate_graham_scan_2d(const std::vector<Point>& pm);

    static std::vector<std::vector<Point>>
    _triangulate_graham_scan_3d(const std::vector<Point>& pm);
  };
 
} // end namespace dolfin
#endif