#include <Rcpp.h>
// Copyright (c) 2021 GeometryFactory (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v6.1/Mesh_3/include/CGAL/Polygon_mesh_processing/surface_Delaunay_remeshing.h $
// $Id: include/CGAL/Polygon_mesh_processing/surface_Delaunay_remeshing.h b26b07a1242 $
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Jane Tournois

#ifndef CGAL_POLYGON_MESH_PROCESSING_DELAUNAY_REMESHING_H
#define CGAL_POLYGON_MESH_PROCESSING_DELAUNAY_REMESHING_H

#ifdef CGAL_PMP_REMESHING_VERBOSE
#define CGAL_MESH_3_VERBOSE 1
#endif

#include <CGAL/license/Mesh_3.h>

#include <CGAL/Mesh_triangulation_3.h>
#include <CGAL/Mesh_complex_3_in_triangulation_3.h>
#include <CGAL/Mesh_criteria_3.h>

#include <CGAL/Polyhedral_mesh_domain_with_features_3.h>
#include <CGAL/make_mesh_3.h>
#include <CGAL/Mesh_facet_topology.h>
#include <CGAL/Mesh_3/polylines_to_protect.h>
#include <CGAL/facets_in_complex_3_to_triangle_mesh.h>

#include <CGAL/Named_function_parameters.h>
#include <CGAL/boost/graph/named_params_helper.h>

#include <limits>

namespace CGAL {

namespace Polygon_mesh_processing {

/*!
* \ingroup PMP_meshing_grp
* @brief remeshes a surface triangle mesh following the Delaunay refinement
* algorithm described in the \ref PkgMesh3 package.
*
* @tparam TriangleMesh model of `FaceListGraph`
* @tparam TriangleMeshOut model of `FaceListGraph`, model of `DefaultConstructible`,
*   with an internal property map for `CGAL::vertex_point_t` with `geom_traits::Point_3`
*   as value type.
* @tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
*
* @param tmesh a triangle surface mesh
* @param np an optional sequence of \ref bgl_namedparameters "Named Parameters" among the ones listed below
*
* @returns the triangulated surface mesh following the requirements of the input
*   meshing criteria
*
* \cgalNamedParamsBegin
*   \cgalParamNBegin{geom_traits}
*     \cgalParamDescription{an instance of a geometric traits class}
*     \cgalParamType{a class model of `Kernel`}
*     \cgalParamDefault{a \cgal Kernel deduced from the point type, using `CGAL::Kernel_traits`}
*     \cgalParamExtra{The geometric traits class must be compatible with the vertex point type.}
*     \cgalParamExtra{Exact construction kernels are not supported by this function.}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{vertex_point_map}
*   \cgalParamDescription{a property map associating points to the vertices of `tmesh`}
*   \cgalParamType{a class model of `ReadablePropertyMap` with `boost::graph_traits<TriangleMesh>::%vertex_descriptor`
*                  as key type and `%Point_3` as value type}
*   \cgalParamDefault{`boost::get(CGAL::vertex_point, tmesh)`}
*   \cgalParamExtra{If this parameter is omitted, an internal property map for `CGAL::vertex_point_t`
*                   must be available in `TriangleMesh`.}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{features_angle_bound}
*     \cgalParamDescription{the dihedral angle bound (in degrees) for detection of feature edges}
*     \cgalParamType{A number type `FT`, either deduced from the `geom_traits`
*          \ref bgl_namedparameters "Named Parameters" if provided,
*          or from the geometric traits class deduced from the point property map
*         of `TriangleMesh`.}
*     \cgalParamDefault{`60`}
*     \cgalParamExtra{Border edges are protected, along with detected sharp edges.}
*     \cgalParamExtra{If the given value is `180`, only the border edges are protected.}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{edge_is_constrained_map}
*     \cgalParamDescription{a property map containing the constrained-or-not status of each edge of `tmesh`}
*     \cgalParamType{a class model of `ReadWritePropertyMap` with `boost::graph_traits<TriangleMesh>::%edge_descriptor`
*                    as key type and `bool` as value type. It must be default constructible.}
*     \cgalParamDefault{a default property map where no edge is constrained}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{polyline_constraints}
*     \cgalParamDescription{a set of polylines that will be resampled and appear as protected
*        polyline constraints in the output mesh}
*     \cgalParamType{a class model of `Range`, of which value type is model of `MeshPolyline_3`}
*     \cgalParamDefault{an empty range of segments}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{protect_constraints}
*     \cgalParamDescription{If `true`, the feature edges of the input are re-sampled and present in the output mesh.
*           If `edge_is_constrained_map` is provided, the corresponding "constrained" edges are protected.
*           Else, if `polyline_constraints` is provided, the corresponding polylines are protected.
*           Otherwise, `features_angle_bound` is used, and the edges that form a sharp dihedral angle with
*             respect to that bound are protected.}
*     \cgalParamType{Boolean}
*     \cgalParamDefault{`false`}
*     \cgalParamExtra{Note that only one of these three input parameters is taken into account,
*                     in the priority order listed above.}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{face_patch_map}
*     \cgalParamDescription{a property map with the patch id's associated to the faces of `faces`}
*     \cgalParamType{a class model of `ReadWritePropertyMap` with `boost::graph_traits<TriangleMesh>::%face_descriptor`
*                    as key type and the desired property, model of `CopyConstructible` and `LessThanComparable`, as value type.}
*     \cgalParamDefault{a default property map where each face is associated with the ID of
*                       the connected component it belongs to. Connected components are
*                       computed with respect to the constrained edges listed in the property map
*                       `edge_is_constrained_map`.}
*     \cgalParamExtra{The map is updated during the remeshing process while new faces are created.}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{mesh_edge_size}
*     \cgalParamDescription{A scalar field (resp. a constant) providing a space-varying
*          (resp. a uniform) upper bound for the lengths of curve edges.
*          This parameter has to be set to a positive value when 1-dimensional features protection is used
*          (when `protect_constraints` is `true`).}
*     \cgalParamType{A number type `FT` model of the concept `Field`, or a model of the concept `MeshDomainField_3`}
*     \cgalParamDefault{`(std::numeric_limits<FT>::%max)()`, with
*          `FT` a number type, either deduced from the `geom_traits` \ref bgl_namedparameters
*          "Named Parameters" if provided, or from the geometric traits class deduced from the
*          point property map of `TriangleMesh`.}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{mesh_facet_size}
*     \cgalParamDescription{A scalar field (resp. a constant) describing a space-varying
*          (resp. a uniform) upper bound for the radii of the surface Delaunay balls.}
*     \cgalParamType{A number type `FT` model of the concept `Field`, or a model of the concept
*          `MeshDomainField_3`}
*     \cgalParamDefault{`0.`}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{mesh_facet_angle}
*     \cgalParamDescription{A lower bound for the angles (in degrees) of the surface mesh facets.}
*     \cgalParamType{A number type `FT` model of the concept `Field`}
*     \cgalParamDefault{`0.`}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{mesh_facet_distance}
*     \cgalParamDescription{A scalar field (resp. a constant) describing a space-varying
*          (resp. a uniform) upper bound for the distance between the facet circumcenter
*          and the center of its surface Delaunay ball.}
*     \cgalParamType{A number type `FT` model of the concept `Field`, or a model of the concept
*          `MeshDomainField_3`}
*     \cgalParamDefault{`0.`}
*   \cgalParamNEnd
*
*   \cgalParamNBegin{mesh_facet_topology}
*     \cgalParamDescription{The set of topological constraints which have to be verified
*          by each surface facet. The default value is `CGAL::FACET_VERTICES_ON_SURFACE`.
*          See `CGAL::Mesh_facet_topology` manual page for a description of the possible values.}
*     \cgalParamType{\link PkgMesh3Enum `CGAL::Mesh_facet_topology` \endlink}
*     \cgalParamDefault{`CGAL::FACET_VERTICES_ON_SURFACE`}
*   \cgalParamNEnd
* \cgalNamedParamsEnd
*
* \pre `tmesh` must be free of self-intersections.
*
* @note Only one of the named parameters defining constrained edges is taken into account
* for meshing, in the following priority order : `edge_is_constrained_map`,
* `polyline_constraints`, and `features_angle_bound`. The selected edges are protected only
* if `protect_constraints` is set to `true`.
*
*/
template<typename TriangleMesh
       , typename TriangleMeshOut = TriangleMesh
       , typename NamedParameters = parameters::Default_named_parameters>
TriangleMeshOut
surface_Delaunay_remeshing(const TriangleMesh& tmesh,
                           const NamedParameters& np = parameters::default_values())
{
  using parameters::get_parameter;
  using parameters::choose_parameter;
  using parameters::get_parameter_reference;

  using NP   = NamedParameters;
  using TM   = TriangleMesh;
  using GT   = typename GetGeomTraits<TM, NP>::type;
  using Mesh_domain = CGAL::Polyhedral_mesh_domain_with_features_3<GT, TM>;
  using Tr   = typename CGAL::Mesh_triangulation_3<Mesh_domain>::type;
  using C3t3 = CGAL::Mesh_complex_3_in_triangulation_3<Tr,
                         typename Mesh_domain::Corner_index,
                         typename Mesh_domain::Curve_index>;
  using Mesh_criteria = CGAL::Mesh_criteria_3<Tr>;
  using FT = typename GT::FT;
  using Point_3 = typename GT::Point_3;

  if (!CGAL::is_triangle_mesh(tmesh)) {
    Rcpp::Rcerr << "Input geometry is not triangulated." << std::endl;
    return TriangleMeshOut();
  }

  // Create a vector with only one element: the pointer to the polyhedron.
  std::vector<const TM*> poly_ptrs_vector(1);
  poly_ptrs_vector[0] = &tmesh;

  // Create a polyhedral domain, with only one polyhedron,
  // and no "bounding polyhedron", so the volumetric part of the domain will be
  // empty.
  Mesh_domain domain(poly_ptrs_vector.begin(), poly_ptrs_vector.end());

  // Vertex point map
  using VPMap = typename GetVertexPointMap<TM, NP>::type;
  VPMap vpmap = choose_parameter(get_parameter(np, internal_np::vertex_point),
                                 get_const_property_map(vertex_point, tmesh));

  // Features protection
  const bool protect = choose_parameter(get_parameter(np, internal_np::protect_constraints), false);
  if (protect)
  {
    // Features provided by user as a pmap on input edges
    if (!parameters::is_default_parameter<NP, internal_np::edge_is_constrained_t>::value)
    {
      using edge_descriptor = typename boost::graph_traits<TM>::edge_descriptor;
      using ECMap = typename internal_np::Lookup_named_param_def <
        internal_np::edge_is_constrained_t,
        NP,
        Static_boolean_property_map<edge_descriptor, false> // default (no constraint pmap)
      >::type;
      ECMap ecmap = choose_parameter(get_parameter(np, internal_np::edge_is_constrained),
        Static_boolean_property_map<edge_descriptor, false>());

      std::vector<std::vector<Point_3> > sharp_edges;
      for (edge_descriptor e : edges(tmesh))
      {
        if (get(ecmap, e))
        {
          std::vector<Point_3> ev(2);
          ev[0] = get(vpmap, source(halfedge(e, tmesh), tmesh));
          ev[1] = get(vpmap, target(halfedge(e, tmesh), tmesh));
          sharp_edges.push_back(ev);
        }
      }

      std::vector<std::vector<Point_3> > features;
      CGAL::polylines_to_protect(features, sharp_edges.begin(), sharp_edges.end());
      domain.add_features(features.begin(), features.end());
    }
    else if (!parameters::is_default_parameter<NP, internal_np::polyline_constraints_t>::value)
    {
      // Features - provided by user as a set of polylines
      using Polylines = typename internal_np::Lookup_named_param_def <
        internal_np::polyline_constraints_t,
        NP,
        std::vector<std::vector<Point_3> > // default
      >::reference;
      std::vector<std::vector<Point_3> > default_vector{};
      Polylines polylines
        = choose_parameter(get_parameter_reference(np, internal_np::polyline_constraints),
          default_vector);

      if (!polylines.empty())
      {
        std::vector<std::vector<Point_3> > features;
        CGAL::polylines_to_protect(features, polylines.begin(), polylines.end());
        domain.add_features(features.begin(), features.end());
      }
    }
    else
    {
      // Sharp features - automatic detection
      const FT angle_bound = choose_parameter(get_parameter(np, internal_np::features_angle_bound), 60.);
      domain.detect_features(angle_bound); //includes detection of borders
    }
  }//end if(protect)

  // Mesh criteria
  auto esize  = choose_parameter(get_parameter(np, internal_np::mesh_edge_size),
                                 (std::numeric_limits<FT>::max)());
  auto fsize  = choose_parameter(get_parameter(np, internal_np::mesh_facet_size), 0.);
  auto fangle = choose_parameter(get_parameter(np, internal_np::mesh_facet_angle), 0.);
  auto fdist  = choose_parameter(get_parameter(np, internal_np::mesh_facet_distance), 0.);
  auto ftopo  = choose_parameter(get_parameter(np, internal_np::mesh_facet_topology),
                                 CGAL::FACET_VERTICES_ON_SURFACE);

  Mesh_criteria criteria(CGAL::parameters::edge_size = esize,
                         CGAL::parameters::facet_size = fsize,
                         CGAL::parameters::facet_angle = fangle,
                         CGAL::parameters::facet_distance = fdist,
                         CGAL::parameters::facet_topology = ftopo);

  // Mesh generation
  C3t3 c3t3 = CGAL::make_mesh_3<C3t3>(domain, criteria,
                                      CGAL::parameters::no_perturb(),
                                      CGAL::parameters::no_exude(),
                                      CGAL::parameters::surface_only());

  TriangleMeshOut out;
  CGAL::facets_in_complex_3_to_triangle_mesh(c3t3, out);
  return out;
}

} //end namespace Polygon_mesh_processing
} //end namespace CGAL

#endif //CGAL_POLYGON_MESH_PROCESSIlNG_DELAUNAY_REMESHING_H

