// 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/v6.0.1/Shape_regularization/include/CGAL/Shape_regularization/Segments/Delaunay_neighbor_query_2.h $
// $Id: include/CGAL/Shape_regularization/Segments/Delaunay_neighbor_query_2.h 50cfbde3b84 $
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Dmitry Anisimov, Gennadii Sytov
//

#ifndef CGAL_SHAPE_REGULARIZATION_DELAUNAY_NEIGHBOR_QUERY_2_H
#define CGAL_SHAPE_REGULARIZATION_DELAUNAY_NEIGHBOR_QUERY_2_H

#include <CGAL/license/Shape_regularization.h>

// CGAL includes.
#include <CGAL/Delaunay_triangulation_2.h>
#include <CGAL/Triangulation_vertex_base_with_info_2.h>

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

namespace CGAL {
namespace Shape_regularization {
namespace Segments {

  /*!
    \ingroup PkgShapeRegularizationRefSegments

    \brief A neighbor query based on a Delaunay triangulation, which enables to
    find the nearest neighbors in a set of `GeomTraits::Segment_2`.

    This class finds indices of the nearest neighbors of a query segment
    in a set of 2D segments.

    The class first creates a Delaunay triangulation whose vertices are center
    points of the input segments and then enables to return for each query segment
    indices of the segments whose center points form the one-ring neighborhood of
    the corresponding query vertex in the triangulation.

    \tparam GeomTraits
    a model of `Kernel`

    \tparam InputRange
    a model of `ConstRange` whose iterator type is `RandomAccessIterator`

    \tparam SegmentMap
    a model of `ReadablePropertyMap` whose key type is the value type of the `InputRange`
    and value type is `GeomTraits::Segment_2`. The default is
    `CGAL::Identity_property_map<typename GeomTraits::Segment_2>`.

    \cgalModels{NeighborQuery}
  */
  template<
    typename GeomTraits,
    typename InputRange,
    typename SegmentMap = CGAL::Identity_property_map<typename GeomTraits::Segment_2> >
  class Delaunay_neighbor_query_2 {

  public:
    /// \cond SKIP_IN_MANUAL
    using Traits = GeomTraits;
    using Input_range = InputRange;
    using Segment_map = SegmentMap;

    using VB = CGAL::Triangulation_vertex_base_with_info_2<std::size_t, Traits>;
    using DS = CGAL::Triangulation_data_structure_2<VB>;
    using DT = CGAL::Delaunay_triangulation_2<Traits, DS>;

    using Point_2 = typename Traits::Point_2;
    using Segment_2 = typename Traits::Segment_2;

    using Delaunay_triangulation = DT;
    using Indices = std::vector<std::size_t>;
    using Size_pair = std::pair<std::size_t, std::size_t>;
    /// \endcond

    /// \name Initialization
    /// @{

    /*!
      \brief initializes all internal data structures.

      \tparam NamedParameters
      a sequence of \ref bgl_namedparameters "Named Parameters"

      \param input_range
      a const range of 2D segments

      \param np
      an optional sequence of \ref bgl_namedparameters "Named Parameters"
      among the ones listed below; this parameter can be omitted,
      the default values are then used

      \cgalNamedParamsBegin
        \cgalParamNBegin{segment_map}
          \cgalParamDescription{an instance of `SegmentMap` that maps an item from `input_range`
          to `GeomTraits::Segment_2`}
          \cgalParamDefault{`SegmentMap()`}
        \cgalParamNEnd
      \cgalNamedParamsEnd

      \pre input_range.size() >= 2
    */
    template<typename NamedParameters = parameters::Default_named_parameters>
    Delaunay_neighbor_query_2(
      const InputRange& input_range,
      const NamedParameters& np = parameters::default_values()) :
    m_input_range(input_range),
    m_segment_map(parameters::choose_parameter(parameters::get_parameter(
      np, internal_np::segment_map), SegmentMap())) {

      clear();
      create_unique_group();
    }

    /*!
      \brief inserts a group of segments from `input_range` and finds their
      neighbors within the group.

      Each group of segments is provided as a collection of their indices and only
      neighbors of segments within the group are computed that is no relationships
      between segments from different groups are taken into account.

      The user must not use this method until he has meaningful groups of segments
      (see more in the user manual). By default, all segments are inserted as a group.

      \tparam IndexRange
      a model of `ConstRange` whose value type is `std::size_t`

      \param index_range
      a const range of segment indices

      \pre index_range.size() >= 2
    */
    template<typename IndexRange>
    void add_group(
      const IndexRange& index_range) {

      if (m_is_first_call) {
        clear();
        m_is_first_call = false;
      }

      if (index_range.size() < 2) return;
      CGAL_precondition(index_range.size() >= 2);

      build_delaunay_triangulation(index_range);
      add_neighbors();
      ++m_num_groups;
    }

    /// @}

    /// \name Access
    /// @{

    /*!
      \brief fills in a vector with indices of segments, which are direct neighbors of
      the query segment.

      \param query_index
      an index of the query segment

      \param neighbors
      indices of segments, which are direct neighbors of the query segment

      \pre query_index >= 0 && query_index < input_range.size()
    */
    void operator()(
      const std::size_t query_index,
      std::vector<std::size_t>& neighbors) const {

      neighbors.clear();
      CGAL_precondition(query_index < m_input_range.size());
      CGAL_precondition(m_groups.size() == m_input_range.size());
      if (query_index >= m_input_range.size()) return;
      neighbors = m_groups[query_index];
    }

    /// @}

    /// \name Memory Management
    /// @{

    /*!
      \brief clears all internal data structures.
    */
    void clear() {
      m_num_groups = 0;
      m_is_first_call = true;
      for (auto& group : m_groups) {
        group.clear();
      }
    }

    /// @}

    // EXTRA METHODS TO TEST THE CLASS!
    /// \cond SKIP_IN_MANUAL
    std::size_t number_of_groups() const {
      return m_num_groups;
    }

    std::size_t number_of_neighbors() const {
      std::size_t num_neighbors = 0;
      for (const auto& group : m_groups) {
        num_neighbors += group.size();
      }
      return num_neighbors;
    }

    void get_edges(
      std::vector<Segment_2>& edges) const {

      // Create a graph.
      std::set<Size_pair> graph;
      build_graph_of_neighbors(graph);

      // Set graph edges.
      edges.clear();
      edges.reserve(graph.size());
      for (const auto& edge : graph) {
        const auto p = get_midpoint(edge.first);
        const auto q = get_midpoint(edge.second);
        edges.push_back(Segment_2(p, q));
      }
    }
    /// \endcond

  private:
    const Input_range& m_input_range;
    const Segment_map m_segment_map;

    Delaunay_triangulation m_delaunay;
    std::vector<Indices> m_groups;
    std::size_t m_num_groups;
    bool m_is_first_call;

    void create_unique_group() {

      if (m_input_range.size() < 2) return;
      CGAL_precondition(m_input_range.size() >= 2);

      m_groups.clear();
      m_groups.resize(m_input_range.size());

      Indices group(m_input_range.size());
      std::iota(group.begin(), group.end(), 0);
      build_delaunay_triangulation(group);
      add_neighbors();
      m_num_groups = 1;
    }

    template<typename IndexRange>
    void build_delaunay_triangulation(
      const IndexRange& index_range) {

      m_delaunay.clear();
      CGAL_precondition(m_input_range.size() >= 2);
      for (const auto seg_index : index_range) {
        CGAL_assertion(seg_index < m_input_range.size());

        const auto& segment = get(
          m_segment_map, *(m_input_range.begin() + seg_index));
        const auto& source = segment.source();
        const auto& target = segment.target();
        const auto vh = m_delaunay.insert(CGAL::midpoint(source, target));
        vh->info() = seg_index;
      }
    }

    void add_neighbors() {

      CGAL_assertion(m_groups.size() == m_input_range.size());
      for (auto vit = m_delaunay.finite_vertices_begin();
      vit != m_delaunay.finite_vertices_end(); ++vit) {

        const std::size_t seg_index_1 = vit->info();
        CGAL_assertion(seg_index_1 < m_input_range.size());
        auto& neighbors = m_groups[seg_index_1];
        neighbors.clear();

        auto vc = m_delaunay.incident_vertices(vit);
        if (vc.is_empty()) return;
        const auto end = vc;
        do {
          if (!m_delaunay.is_infinite(vc)) {

            const std::size_t seg_index_2 = vc->info();
            CGAL_assertion(seg_index_2 < m_input_range.size());
            neighbors.push_back(seg_index_2);
          }
          ++vc;
        } while (vc != end);
      }
      m_delaunay.clear();
    }

    // ALL BELOW USED ONLY FOR TESTING!
    void build_graph_of_neighbors(
      std::set<Size_pair>& graph) const {

      Size_pair pair;
      Indices neighbors;
      graph.clear();

      CGAL_assertion(m_groups.size() == m_input_range.size());
      for (std::size_t i = 0; i < m_groups.size(); ++i) {
        operator()(i, neighbors);

        for (const std::size_t neighbor : neighbors) {
          i < neighbor ?
          pair = std::make_pair(i, neighbor) :
          pair = std::make_pair(neighbor, i);
          graph.insert(pair);
        }
      }
    }

    const Point_2 get_midpoint(
      const std::size_t seg_index) const {

      CGAL_assertion(seg_index < m_input_range.size());
      const auto& segment = get(
        m_segment_map, *(m_input_range.begin() + seg_index));
      const auto& source = segment.source();
      const auto& target = segment.target();
      return CGAL::midpoint(source, target);
    }
  };

} // namespace Segments
} // namespace Shape_regularization
} // namespace CGAL

#endif // CGAL_SHAPE_REGULARIZATION_DELAUNAY_NEIGHBOR_QUERY_2_H

