// 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/utils.h $
// $Id: utils.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_WEIGHTS_UTILS_H
#define CGAL_WEIGHTS_UTILS_H

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

namespace CGAL {
namespace Weights {

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

    return internal::tangent_2(traits, p, q, r);
  }

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

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

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

    return internal::tangent_3(traits, p, q, r);
  }

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

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

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

    return internal::cotangent_2(traits, p, q, r);
  }

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

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

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

    return internal::cotangent_3(traits, p, q, r);
  }

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

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

  /// \cond SKIP_IN_MANUAL
  // These are free functions to be used when building weights from parts rather
  // than using the predefined weight functions. In principle, they can be removed.
  // They are here to have unified interface within the Weights package and its
  // construction weight system.
  template<typename GeomTraits>
  typename GeomTraits::FT squared_distance(
    const CGAL::Point_2<GeomTraits>& p,
    const CGAL::Point_2<GeomTraits>& q) {

    const GeomTraits traits;
    const auto squared_distance_2 =
      traits.compute_squared_distance_2_object();
    return squared_distance_2(p, q);
  }

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

    const GeomTraits traits;
    const auto squared_distance_3 =
      traits.compute_squared_distance_3_object();
    return squared_distance_3(p, q);
  }

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

    const GeomTraits traits;
    return internal::distance_2(traits, p, q);
  }

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

    const GeomTraits traits;
    return internal::distance_3(traits, p, q);
  }

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

    const GeomTraits traits;
    return internal::area_2(traits, p, q, r);
  }

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

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

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

    const GeomTraits traits;
    const auto scalar_product_2 =
      traits.compute_scalar_product_2_object();
    const auto construct_vector_2 =
      traits.construct_vector_2_object();

    const auto v1 = construct_vector_2(q, r);
    const auto v2 = construct_vector_2(q, p);
    return scalar_product_2(v1, v2);
  }

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

    const GeomTraits traits;
    const auto scalar_product_3 =
      traits.compute_scalar_product_3_object();
    const auto construct_vector_3 =
      traits.construct_vector_3_object();

    const auto v1 = construct_vector_3(q, r);
    const auto v2 = construct_vector_3(q, p);
    return scalar_product_3(v1, v2);
  }
  /// \endcond

} // namespace Weights
} // namespace CGAL

#endif // CGAL_WEIGHTS_UTILS_H
