// Copyright (c) 2020 GeometryFactory SARL (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v5.4/Weights/include/CGAL/Weights/triangular_region_weights.h $
// $Id: triangular_region_weights.h 12bf0e9 2021-10-18T17:31:59+02:00 Sébastien Loriot
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Dmitry Anisimov
//

#ifndef CGAL_TRIANGULAR_REGION_WEIGHTS_H
#define CGAL_TRIANGULAR_REGION_WEIGHTS_H

// Internal includes.
#include <CGAL/Weights/internal/utils.h>

namespace CGAL {
namespace Weights {

  #if defined(DOXYGEN_RUNNING)

  /*!
    \ingroup PkgWeightsRefTriangularRegionWeights

    \brief computes the area of the triangular cell in 2D using the points `p`, `q`
    and `r`, given a traits class `traits` with geometric objects, predicates, and constructions.
  */
  template<typename GeomTraits>
  typename GeomTraits::FT triangular_area(
    const typename GeomTraits::Point_2& p,
    const typename GeomTraits::Point_2& q,
    const typename GeomTraits::Point_2& r,
    const GeomTraits& traits) { }

  /*!
    \ingroup PkgWeightsRefTriangularRegionWeights

    \brief computes the area of the triangular cell in 3D using the points `p`, `q`
    and `r`, given a traits class `traits` with geometric objects, predicates, and constructions.
  */
  template<typename GeomTraits>
  typename GeomTraits::FT triangular_area(
    const typename GeomTraits::Point_3& p,
    const typename GeomTraits::Point_3& q,
    const typename GeomTraits::Point_3& r,
    const GeomTraits& traits) { }

  /*!
    \ingroup PkgWeightsRefTriangularRegionWeights

    \brief computes the area of the triangular cell in 2D using the points `p`, `q`
    and `r` which are parameterized by a `Kernel` K.
  */
  template<typename K>
  typename K::FT triangular_area(
    const CGAL::Point_2<K>& p,
    const CGAL::Point_2<K>& q,
    const CGAL::Point_2<K>& r) { }

  /*!
    \ingroup PkgWeightsRefTriangularRegionWeights

    \brief computes the area of the triangular cell in 3D using the points `p`, `q`
    and `r` which are parameterized by a `Kernel` K.
  */
  template<typename K>
  typename K::FT triangular_area(
    const CGAL::Point_3<K>& p,
    const CGAL::Point_3<K>& q,
    const CGAL::Point_3<K>& r) { }

  #endif // DOXYGEN_RUNNING

  /// \cond SKIP_IN_MANUAL
  template<typename GeomTraits>
  typename GeomTraits::FT triangular_area(
    const typename GeomTraits::Point_2& p,
    const typename GeomTraits::Point_2& q,
    const typename GeomTraits::Point_2& r,
    const GeomTraits& traits) {

    return internal::positive_area_2(traits, p, q, r);
  }

  template<typename GeomTraits>
  typename GeomTraits::FT triangular_area(
    const CGAL::Point_2<GeomTraits>& p,
    const CGAL::Point_2<GeomTraits>& q,
    const CGAL::Point_2<GeomTraits>& r) {

    const GeomTraits traits;
    return triangular_area(p, q, r, traits);
  }

  template<typename GeomTraits>
  typename GeomTraits::FT triangular_area(
    const typename GeomTraits::Point_3& p,
    const typename GeomTraits::Point_3& q,
    const typename GeomTraits::Point_3& r,
    const GeomTraits& traits) {

    return internal::positive_area_3(traits, p, q, r);
  }

  template<typename GeomTraits>
  typename GeomTraits::FT triangular_area(
    const CGAL::Point_3<GeomTraits>& p,
    const CGAL::Point_3<GeomTraits>& q,
    const CGAL::Point_3<GeomTraits>& r) {

    const GeomTraits traits;
    return triangular_area(p, q, r, traits);
  }
  /// \endcond

} // namespace Weights
} // namespace CGAL

#endif // CGAL_TRIANGULAR_REGION_WEIGHTS_H
