From 7c9823fdccff3f7bc2f8a7f05ec8deae1374377b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 18 Jun 2019 10:05:35 +0200
Subject: [PATCH 001/317] add minimal example of a non working corefinement due
 to non-manifold edges

---
 .../Polygon_mesh_processing/CMakeLists.txt    |  1 +
 .../corefine_non_manifold.cpp                 | 38 +++++++++++++++++++
 2 files changed, 39 insertions(+)
 create mode 100644 Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp

diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt b/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
index 2f853f6cbe6..d81c769eb99 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
@@ -92,6 +92,7 @@ create_single_source_cgal_program( "corefinement_mesh_union.cpp" )
 create_single_source_cgal_program( "corefinement_mesh_union_and_intersection.cpp" )
 create_single_source_cgal_program( "corefinement_mesh_union_with_attributes.cpp" )
 create_single_source_cgal_program( "corefinement_polyhedron_union.cpp" )
+create_single_source_cgal_program( "corefine_non_manifold.cpp" )
 create_single_source_cgal_program( "random_perturbation_SM_example.cpp" )
 create_single_source_cgal_program( "corefinement_LCC.cpp")
 create_single_source_cgal_program( "hole_filling_example_LCC.cpp" )
diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
new file mode 100644
index 00000000000..8640e3ce726
--- /dev/null
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
@@ -0,0 +1,38 @@
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Surface_mesh.h>
+#include <CGAL/Polygon_mesh_processing/corefinement.h>
+#include <CGAL/Polygon_mesh_processing/stitch_borders.h>
+#include <CGAL/Polygon_mesh_processing/triangulate_faces.h>
+
+#include <CGAL/boost/graph/helpers.h>
+
+#include <fstream>
+#include <iostream>
+
+typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
+typedef K::Point_3 P;
+typedef CGAL::Surface_mesh<P> Surface_mesh;
+
+namespace PMP = CGAL::Polygon_mesh_processing;
+
+int main()
+{
+  Surface_mesh tm1;
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,4,0), P(0,4,0), tm1);
+  CGAL::make_quad(P(0,-4,0), P(4,-4,0), P(4,0,0), P(0,0,0), tm1);
+  PMP::stitch_borders(tm1);
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,0,4), P(0,0,4), tm1);
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,0,-4), P(0,0,-4), tm1);
+  PMP::triangulate_faces(tm1);
+
+  Surface_mesh tm2;
+//  CGAL::make_quad(P(2,2,-2), P(2,-2,-2), P(2,-2,2), P(2,2,2), tm2);  //TODO: test me + also test splitting the diagonal
+// TOOD test more case including non-manifold vertices
+  CGAL::make_quad(P(2,3,-2), P(2,-2,-2), P(2,-2,2), P(2,3,2), tm2);  
+  PMP::triangulate_faces(tm2);
+
+  PMP::corefine(tm1,tm2);
+
+  std::ofstream("tm1_corefined.off") << tm1;
+  std::ofstream("tm2_corefined.off") << tm2;
+}
\ No newline at end of file

From b536b8a2327e9e3c07f864c0dca4cd6ae1b2d2aa Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 18 Jun 2019 15:46:09 +0200
Subject: [PATCH 002/317] use non-manifold edges map to filter intersection of
 edges and faces

---
 .../CGAL/boost/graph/parameters_interface.h   |  2 +-
 .../corefine_non_manifold.cpp                 | 10 ++-
 .../Non_manifold_features_map.h               | 82 +++++++++++++++++++
 .../Polygon_mesh_processing/corefinement.h    |  5 ++
 .../internal/Corefinement/intersection_impl.h | 74 +++++++++++++----
 5 files changed, 154 insertions(+), 19 deletions(-)
 create mode 100644 Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_features_map.h

diff --git a/BGL/include/CGAL/boost/graph/parameters_interface.h b/BGL/include/CGAL/boost/graph/parameters_interface.h
index 3273de59c53..a0e2c179ded 100644
--- a/BGL/include/CGAL/boost/graph/parameters_interface.h
+++ b/BGL/include/CGAL/boost/graph/parameters_interface.h
@@ -83,6 +83,7 @@ CGAL_add_named_parameter(output_iterator_t, output_iterator, output_iterator)
 CGAL_add_named_parameter(erase_all_duplicates_t, erase_all_duplicates, erase_all_duplicates)
 CGAL_add_named_parameter(require_same_orientation_t, require_same_orientation, require_same_orientation)
 CGAL_add_named_parameter(face_size_map_t, face_size_map, face_size_map)
+CGAL_add_named_parameter(non_manifold_features_map_t, non_manifold_features_map, non_manifold_features_map)
 
 // List of named parameters that we use in the package 'Surface Mesh Simplification'
 CGAL_add_named_parameter(get_cost_policy_t, get_cost_policy, get_cost)
@@ -141,4 +142,3 @@ CGAL_add_named_parameter(face_proxy_map_t, face_proxy_map, face_proxy_map)
 CGAL_add_named_parameter(proxies_t, proxies, proxies)
 CGAL_add_named_parameter(anchors_t, anchors, anchors)
 CGAL_add_named_parameter(triangles_t, triangles, triangles)
-
diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
index 8640e3ce726..ad1616f3aac 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
@@ -27,12 +27,14 @@ int main()
 
   Surface_mesh tm2;
 //  CGAL::make_quad(P(2,2,-2), P(2,-2,-2), P(2,-2,2), P(2,2,2), tm2);  //TODO: test me + also test splitting the diagonal
-// TOOD test more case including non-manifold vertices
-  CGAL::make_quad(P(2,3,-2), P(2,-2,-2), P(2,-2,2), P(2,3,2), tm2);  
+// TODO: test more case including non-manifold vertices
+  CGAL::make_quad(P(2,3,-2), P(2,-2,-2), P(2,-2,2), P(2,3,2), tm2);
   PMP::triangulate_faces(tm2);
 
-  PMP::corefine(tm1,tm2);
+  PMP::Non_manifold_features_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
+
+  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_features_map(nm_map_1));
 
   std::ofstream("tm1_corefined.off") << tm1;
   std::ofstream("tm2_corefined.off") << tm2;
-}
\ No newline at end of file
+}
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_features_map.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_features_map.h
new file mode 100644
index 00000000000..365c391a9c6
--- /dev/null
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_features_map.h
@@ -0,0 +1,82 @@
+// Copyright (c) 2019 GeometryFactory (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+// You can redistribute it and/or modify it under the terms of the GNU
+// General Public License as published by the Free Software Foundation,
+// either version 3 of the License, or (at your option) any later version.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: GPL-3.0+
+//
+//
+// Author(s)     : Sebastien Loriot
+
+
+#ifndef CGAL_POLYGON_MESH_PROCESSING_NON_MANIFOLD_FEATURES_MAP
+#define CGAL_POLYGON_MESH_PROCESSING_NON_MANIFOLD_FEATURES_MAP
+
+namespace CGAL {
+namespace Polygon_mesh_processing {
+
+//TODO: right now the base name parameter mechanism will make a deep copy, we probably want to avoid that
+template <class PolygonMesh>
+struct Non_manifold_features_map
+{
+  typedef boost::graph_traits<PolygonMesh> Graph_traits;
+  typedef typename Graph_traits::edge_descriptor edge_descriptor;
+  typedef typename Graph_traits::halfedge_descriptor halfedge_descriptor;
+  typedef dynamic_edge_property_t<std::size_t> Edge_to_id_tag;
+  typedef typename boost::property_map<PolygonMesh, Edge_to_id_tag>::type Edge_to_nm_id;
+  Edge_to_nm_id e_nm_id;
+  std::vector< std::vector<edge_descriptor> > non_manifold_edges;
+
+  Non_manifold_features_map()
+  {}
+
+  template <class Vpm>
+  Non_manifold_features_map(PolygonMesh& pm, Vpm vpm)
+    : e_nm_id(get(Edge_to_id_tag(), pm))
+  {
+    typedef typename boost::property_traits<Vpm>::value_type Point_3;
+
+    std::map< std::pair<Point_3, Point_3>, std::vector<edge_descriptor> > edge_map;
+    for(edge_descriptor ed : edges(pm))
+    {
+      put(e_nm_id, ed, std::size_t(-1)); // init map
+
+      halfedge_descriptor hd = halfedge(ed, pm);
+      const Point_3& src = get(vpm, source(ed, pm));
+      const Point_3& tgt = get(vpm, target(ed, pm));
+      // TODO: what to do with null edges?
+      if (src > tgt)
+        hd = opposite(hd, pm);
+      edge_map[ make_sorted_pair(src, tgt) ].push_back(edge(hd,pm));
+    }
+
+    for(std::pair< const std::pair<Point_3, Point_3>,
+                   std::vector<edge_descriptor> >& p : edge_map)
+    {
+      if (p.second.size()!=1)
+      {
+        std::cout << "Found a non-manifold edge, nb representatives: " << p.second.size() << "\n";
+        for (edge_descriptor ed : p.second)
+          put(e_nm_id, ed, non_manifold_edges.size());
+        non_manifold_edges.resize(non_manifold_edges.size()+1);
+        // we steal the vertor from the map
+        p.second.swap(non_manifold_edges.back());
+      }
+    }
+  }
+};
+
+} } // end of CGAL::Polygon_mesh_processing
+
+#endif
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h
index 97491b151a9..909eb23c6f7 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h
@@ -903,6 +903,11 @@ corefine_and_compute_difference(      TriangleMesh& tm1,
   Ecm ecm(tm1,tm2,ecm1,ecm2);
   Corefinement::Intersection_of_triangle_meshes<TriangleMesh, Vpm, Algo_visitor>
     functor(tm1, tm2, vpm1, vpm2, Algo_visitor(uv,ob,ecm));
+
+  // Fill non-manifold feature maps if provided
+  functor.set_non_manifold_features_map_1(boost::get_param(np1, internal_np::non_manifold_features_map));
+  functor.set_non_manifold_features_map_2(boost::get_param(np2, internal_np::non_manifold_features_map));
+
   functor(CGAL::Emptyset_iterator(), throw_on_self_intersection, true);
 }
 
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 5d47cfc840a..8b0ccfcf8e6 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -33,6 +33,7 @@
 #include <CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_of_coplanar_triangles_3.h>
 #include <CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h>
 #include <CGAL/Polygon_mesh_processing/internal/Corefinement/intersect_triangle_and_segment_3.h>
+#include <CGAL/Polygon_mesh_processing/Non_manifold_features_map.h>
 #include <CGAL/utility.h>
 
 #include <boost/unordered_map.hpp>
@@ -196,12 +197,16 @@ class Intersection_of_triangle_meshes
   Node_visitor visitor;
   Faces_to_nodes_map         f_to_node;      //Associate a pair of triangles to their intersection points
   std::vector<Node_id> extra_terminal_nodes; //used only for autorefinement
+  Non_manifold_features_map<TriangleMesh> non_manifold_features_map_1,
+                                          non_manifold_features_map_2;
   CGAL_assertion_code(bool doing_autorefinement;)
+
 // member functions
   void filter_intersections(const TriangleMesh& tm_f,
                             const TriangleMesh& tm_e,
                             const VertexPointMap& vpm_f,
                             const VertexPointMap& vpm_e,
+                            const Non_manifold_features_map<TriangleMesh>& non_manifold_features_map,
                             bool throw_on_self_intersection)
   {
     std::vector<Box> face_boxes, edge_boxes;
@@ -222,15 +227,38 @@ class Intersection_of_triangle_meshes
 
     edge_boxes.reserve(num_edges(tm_e));
     edge_boxes_ptr.reserve(num_edges(tm_e));
-    for(edge_descriptor ed : edges(tm_e))
-    {
-      halfedge_descriptor h=halfedge(ed,tm_e);
-      edge_boxes.push_back( Box(
-        get(vpm_e,source(h,tm_e)).bbox() +
-        get(vpm_e,target(h,tm_e)).bbox(),
-        h ) );
-      edge_boxes_ptr.push_back( &edge_boxes.back() );
-    }
+    if (non_manifold_features_map.non_manifold_edges.empty())
+      // general manifold case
+      for(edge_descriptor ed : edges(tm_e))
+      {
+        halfedge_descriptor h=halfedge(ed,tm_e);
+        edge_boxes.push_back( Box(
+          get(vpm_e,source(h,tm_e)).bbox() +
+          get(vpm_e,target(h,tm_e)).bbox(),
+          h ) );
+        edge_boxes_ptr.push_back( &edge_boxes.back() );
+      }
+      else
+        // non-manifold case
+        for(edge_descriptor ed : edges(tm_e))
+        {
+          std::size_t eid=get(non_manifold_features_map.e_nm_id, ed);
+          halfedge_descriptor h=halfedge(ed,tm_e);
+          // insert only one copy of a non-manifold edge
+          if (eid!=std::size_t(-1))
+          {
+            if (non_manifold_features_map.non_manifold_edges[eid].front()!=ed)
+              continue;
+            else
+              // make sure the halfedge used is consistant with stored one
+              h = halfedge(non_manifold_features_map.non_manifold_edges[eid].front(), tm_e);
+          }
+          edge_boxes.push_back( Box(
+            get(vpm_e,source(h,tm_e)).bbox() +
+            get(vpm_e,target(h,tm_e)).bbox(),
+            h ) );
+          edge_boxes_ptr.push_back( &edge_boxes.back() );
+        }
 
     /// \todo experiments different cutoff values
     std::ptrdiff_t cutoff = 2 * std::ptrdiff_t(
@@ -670,6 +698,7 @@ class Intersection_of_triangle_meshes
                                    const TriangleMesh& tm2,
                                    const VertexPointMap& vpm1,
                                    const VertexPointMap& vpm2,
+                                   const Non_manifold_features_map<TriangleMesh>& non_manifold_features_map,
                                    Node_id& current_node)
   {
     typedef std::tuple<Intersection_type, halfedge_descriptor, bool,bool>  Inter_type;
@@ -679,6 +708,11 @@ class Intersection_of_triangle_meshes
                                          it!=tm1_edge_to_tm2_faces.end();++it)
     {
       edge_descriptor e_1=it->first;
+
+      std::size_t eid_1 = non_manifold_features_map.non_manifold_edges.empty() ?
+                          std::size_t(-1) :
+                          get(non_manifold_features_map.e_nm_id, e_1);
+
       halfedge_descriptor h_1=halfedge(e_1,tm1);
       Face_set& fset=it->second;
       while (!fset.empty()){
@@ -1289,6 +1323,18 @@ public:
     CGAL_assertion_code( doing_autorefinement=true; )
   }
 
+// setting maps of non manifold features
+  void set_non_manifold_features_map_1(boost::param_not_found){}
+  void set_non_manifold_features_map_2(boost::param_not_found){}
+  void set_non_manifold_features_map_1(const Non_manifold_features_map<TriangleMesh>& m)
+  {
+    non_manifold_features_map_1=m;
+  }
+  void set_non_manifold_features_map_2(const Non_manifold_features_map<TriangleMesh>& m)
+  {
+    non_manifold_features_map_2=m;
+  }
+
   template <class OutputIterator>
   OutputIterator operator()(OutputIterator output,
                             bool throw_on_self_intersection,
@@ -1301,12 +1347,12 @@ public:
     const VertexPointMap& vpm1=nodes.vpm1;
     const VertexPointMap& vpm2=nodes.vpm2;
 
-    filter_intersections(tm1, tm2, vpm1, vpm2, throw_on_self_intersection);
-    filter_intersections(tm2, tm1, vpm2, vpm1, throw_on_self_intersection);
+    filter_intersections(tm1, tm2, vpm1, vpm2, non_manifold_features_map_2, throw_on_self_intersection);
+    filter_intersections(tm2, tm1, vpm2, vpm1, non_manifold_features_map_1, throw_on_self_intersection);
 
     Node_id current_node((std::numeric_limits<Node_id>::max)());
     CGAL_assertion(current_node+1==0);
-
+// TODO: handle non-manifold edges in coplanar
     #ifndef DO_NOT_HANDLE_COPLANAR_FACES
     //first handle coplanar triangles
     if (&tm1<&tm2)
@@ -1327,8 +1373,8 @@ public:
                                          ? stm_edge_to_ltm_faces
                                          : ltm_edge_to_stm_faces;
 
-    compute_intersection_points(tm1_edge_to_tm2_faces, tm1, tm2, vpm1, vpm2, current_node);
-    compute_intersection_points(tm2_edge_to_tm1_faces, tm2, tm1, vpm2, vpm1, current_node);
+    compute_intersection_points(tm1_edge_to_tm2_faces, tm1, tm2, vpm1, vpm2, non_manifold_features_map_1, current_node);
+    compute_intersection_points(tm2_edge_to_tm1_faces, tm2, tm1, vpm2, vpm1, non_manifold_features_map_2, current_node);
     if (!build_polylines){
       visitor.finalize(nodes,tm1,tm2,vpm1,vpm2);
       return output;

From 956d02109d541e2172aaa7f4395e843f9230a34b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 20 Jun 2019 11:10:06 +0200
Subject: [PATCH 003/317] add a new named parameter to pass a map of
 non-manifold features

---
 BGL/include/CGAL/boost/graph/parameters_interface.h | 3 ++-
 BGL/test/BGL/test_cgal_bgl_named_params.cpp         | 7 +++++--
 2 files changed, 7 insertions(+), 3 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/parameters_interface.h b/BGL/include/CGAL/boost/graph/parameters_interface.h
index a0e2c179ded..ea65f330e4f 100644
--- a/BGL/include/CGAL/boost/graph/parameters_interface.h
+++ b/BGL/include/CGAL/boost/graph/parameters_interface.h
@@ -83,7 +83,8 @@ CGAL_add_named_parameter(output_iterator_t, output_iterator, output_iterator)
 CGAL_add_named_parameter(erase_all_duplicates_t, erase_all_duplicates, erase_all_duplicates)
 CGAL_add_named_parameter(require_same_orientation_t, require_same_orientation, require_same_orientation)
 CGAL_add_named_parameter(face_size_map_t, face_size_map, face_size_map)
-CGAL_add_named_parameter(non_manifold_features_map_t, non_manifold_features_map, non_manifold_features_map)
+CGAL_add_named_parameter(non_manifold_feature_map_t, non_manifold_feature_map, non_manifold_feature_map)
+
 
 // List of named parameters that we use in the package 'Surface Mesh Simplification'
 CGAL_add_named_parameter(get_cost_policy_t, get_cost_policy, get_cost)
diff --git a/BGL/test/BGL/test_cgal_bgl_named_params.cpp b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
index e797e2b3398..c23d32a13d9 100644
--- a/BGL/test/BGL/test_cgal_bgl_named_params.cpp
+++ b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
@@ -43,11 +43,11 @@ void test(const NamedParameters& np)
   assert(get_param(np, CGAL::internal_np::METIS_options).v == 800000001);
   assert(get_param(np, CGAL::internal_np::vertex_partition_id).v == 800000002);
   assert(get_param(np, CGAL::internal_np::face_partition_id).v == 800000003);
-  
+
   assert(get_param(np, CGAL::internal_np::vertex_to_vertex_output_iterator).v == 800000004);
   assert(get_param(np, CGAL::internal_np::halfedge_to_halfedge_output_iterator).v == 800000005);
   assert(get_param(np, CGAL::internal_np::face_to_face_output_iterator).v == 800000006);
-  
+
   assert(get_param(np, CGAL::internal_np::vertex_to_vertex_map).v == 800000007);
   assert(get_param(np, CGAL::internal_np::halfedge_to_halfedge_map).v == 800000008);
   assert(get_param(np, CGAL::internal_np::face_to_face_map).v == 800000009);
@@ -88,6 +88,7 @@ void test(const NamedParameters& np)
   assert(get_param(np, CGAL::internal_np::require_same_orientation).v == 49);
   assert(get_param(np, CGAL::internal_np::use_bool_op_to_clip_surface).v == 50);
   assert(get_param(np, CGAL::internal_np::face_size_map).v == 52);
+  assert(get_param(np, CGAL::internal_np::non_manifold_feature_map).v == 51);
 
     // Named parameters that we use in the package 'Surface Mesh Simplification'
   assert(get_param(np, CGAL::internal_np::get_cost_policy).v == 34);
@@ -169,6 +170,7 @@ void test(const NamedParameters& np)
   check_same_type<49>(get_param(np, CGAL::internal_np::require_same_orientation));
   check_same_type<50>(get_param(np, CGAL::internal_np::use_bool_op_to_clip_surface));
   check_same_type<52>(get_param(np, CGAL::internal_np::face_size_map));
+  check_same_type<51>(get_param(np, CGAL::internal_np::non_manifold_feature_map));
 
     // Named parameters that we use in the package 'Surface Mesh Simplification'
   check_same_type<34>(get_param(np, CGAL::internal_np::get_cost_policy));
@@ -249,6 +251,7 @@ int main()
                          .clip_volume(A<44>(44))
                          .use_compact_clipper(A<45>(45))
                          .use_bool_op_to_clip_surface(A<50>(50))
+                         .non_manifold_feature_map(A<51>(51))
                          .apply_per_connected_component(A<46>(46))
                          .output_iterator(A<47>(47))
                          .erase_all_duplicates(A<48>(48))

From 2e4881dcbdeadfb6e68410c1978e937b0547ea6c Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 20 Jun 2019 11:12:27 +0200
Subject: [PATCH 004/317] add a helper indicating from the types if a named
 parameter contains a given parameter

---
 .../CGAL/boost/graph/named_params_helper.h    | 30 ++++++++++++++-----
 1 file changed, 22 insertions(+), 8 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/named_params_helper.h b/BGL/include/CGAL/boost/graph/named_params_helper.h
index 90e8bdc08cd..b7ab874f33c 100644
--- a/BGL/include/CGAL/boost/graph/named_params_helper.h
+++ b/BGL/include/CGAL/boost/graph/named_params_helper.h
@@ -34,14 +34,28 @@
 
 namespace CGAL {
 
+  namespace parameters
+  {
+    template <class Parameter, class NamedParameters>
+    struct Is_default
+    {
+      typedef typename boost::lookup_named_param_def <
+        Parameter,
+        NamedParameters,
+        boost::param_not_found > ::type NP_type;
+      static const bool value = boost::is_same<NP_type, boost::param_not_found>::value;
+      typedef CGAL::Boolean_tag<value> type;
+    };
+  } // end of parameters namespace
+
   // forward declarations to avoid dependency to Solver_interface
   template <typename FT, unsigned int dim>
   class Default_diagonalize_traits;
   class Eigen_svd;
   class Lapack_svd;
   //
-  
-  
+
+
   //helper classes
   template<typename PolygonMesh, typename PropertyTag>
   class property_map_selector
@@ -245,7 +259,7 @@ namespace CGAL {
         typedef std::random_access_iterator_tag iterator_category;
       };
     };
-    
+
     namespace parameters
     {
       template <typename PointRange>
@@ -259,7 +273,7 @@ namespace CGAL {
     namespace internal{
       BOOST_MPL_HAS_XXX_TRAIT_NAMED_DEF(Has_nested_type_iterator, iterator, false)
     }
-    
+
     template<typename PointRange, typename NamedParameters,
              bool has_nested_iterator=internal::Has_nested_type_iterator<PointRange>::value>
     class GetPointMap
@@ -381,7 +395,7 @@ namespace CGAL {
       DefaultPMap
       > ::type  const_type;
     };
-    
+
     template<typename NamedParameters>
     class GetPlaneIndexMap
     {
@@ -429,7 +443,7 @@ namespace CGAL {
     };
 
   } // namespace Point_set_processing_3
-  
+
   template<typename NamedParameters, typename DefaultSolver>
   class GetSolver
   {
@@ -462,10 +476,10 @@ namespace CGAL {
       typedef int Matrix;
       static FT solve (const Matrix&, Vector&) { return 0.; }
     };
-    
+
   public:
     typedef DummySvdTraits NoTraits;
-    
+
     typedef typename boost::lookup_named_param_def <
     internal_np::svd_traits_t,
     NamedParameters,

From 2696ee1fac983cc30d895907bc7559147256eacd Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 20 Jun 2019 11:14:42 +0200
Subject: [PATCH 005/317] WIP backup commit to be rebased

---
 .../corefine_non_manifold.cpp                 | 25 ++++++-
 ...tures_map.h => Non_manifold_feature_map.h} | 11 ++-
 .../Polygon_mesh_processing/corefinement.h    | 10 ++-
 .../internal/Corefinement/Visitor.h           | 51 ++++++++++++--
 .../internal/Corefinement/intersection_impl.h | 68 ++++++++++++-------
 .../Polygon_mesh_processing/intersection.h    | 17 +++--
 6 files changed, 135 insertions(+), 47 deletions(-)
 rename Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/{Non_manifold_features_map.h => Non_manifold_feature_map.h} (88%)

diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
index ad1616f3aac..4cf264612ab 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
@@ -17,6 +17,15 @@ namespace PMP = CGAL::Polygon_mesh_processing;
 
 int main()
 {
+// {
+//   Surface_mesh tm;
+//   CGAL::make_triangle (P(0,0,0), P(5,0,0), P(0,5,0), tm);
+//   CGAL::make_triangle (P(1,1,-1), P(2,1,-1), P(1.5,1,1), tm);
+// std::ofstream("/tmp/tm.off") << tm;
+//   PMP::experimental::autorefine(tm);
+// std::ofstream("/tmp/tm_aurefined.off") << tm;
+// }
+
   Surface_mesh tm1;
   CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,4,0), P(0,4,0), tm1);
   CGAL::make_quad(P(0,-4,0), P(4,-4,0), P(4,0,0), P(0,0,0), tm1);
@@ -31,9 +40,21 @@ int main()
   CGAL::make_quad(P(2,3,-2), P(2,-2,-2), P(2,-2,2), P(2,3,2), tm2);
   PMP::triangulate_faces(tm2);
 
-  PMP::Non_manifold_features_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
 
-  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_features_map(nm_map_1));
+  // std::vector< std::vector<P> > polylines;
+  // PMP::surface_intersection(tm1, tm2, std::back_inserter(polylines), CGAL::parameters::non_manifold_feature_map(nm_map_1));
+  //
+  // //dump polylines
+  // std::ofstream output("intersection_polylines.cgal");
+  // for(const std::vector<P>& polyline : polylines)
+  // {
+  //   output << polyline.size() << " ";
+  //   std::copy(polyline.begin(), polyline.end(),std::ostream_iterator<P>(output," "));
+  //   output << "\n";
+  // }
+
+  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1));
 
   std::ofstream("tm1_corefined.off") << tm1;
   std::ofstream("tm2_corefined.off") << tm2;
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_features_map.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
similarity index 88%
rename from Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_features_map.h
rename to Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
index 365c391a9c6..322d52b7925 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_features_map.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
@@ -20,15 +20,15 @@
 // Author(s)     : Sebastien Loriot
 
 
-#ifndef CGAL_POLYGON_MESH_PROCESSING_NON_MANIFOLD_FEATURES_MAP
-#define CGAL_POLYGON_MESH_PROCESSING_NON_MANIFOLD_FEATURES_MAP
+#ifndef CGAL_POLYGON_MESH_PROCESSING_NON_MANIFOLD_FEATURE_MAP
+#define CGAL_POLYGON_MESH_PROCESSING_NON_MANIFOLD_FEATURE_MAP
 
 namespace CGAL {
 namespace Polygon_mesh_processing {
 
 //TODO: right now the base name parameter mechanism will make a deep copy, we probably want to avoid that
 template <class PolygonMesh>
-struct Non_manifold_features_map
+struct Non_manifold_feature_map
 {
   typedef boost::graph_traits<PolygonMesh> Graph_traits;
   typedef typename Graph_traits::edge_descriptor edge_descriptor;
@@ -38,11 +38,11 @@ struct Non_manifold_features_map
   Edge_to_nm_id e_nm_id;
   std::vector< std::vector<edge_descriptor> > non_manifold_edges;
 
-  Non_manifold_features_map()
+  Non_manifold_feature_map()
   {}
 
   template <class Vpm>
-  Non_manifold_features_map(PolygonMesh& pm, Vpm vpm)
+  Non_manifold_feature_map(PolygonMesh& pm, Vpm vpm)
     : e_nm_id(get(Edge_to_id_tag(), pm))
   {
     typedef typename boost::property_traits<Vpm>::value_type Point_3;
@@ -66,7 +66,6 @@ struct Non_manifold_features_map
     {
       if (p.second.size()!=1)
       {
-        std::cout << "Found a non-manifold edge, nb representatives: " << p.second.size() << "\n";
         for (edge_descriptor ed : p.second)
           put(e_nm_id, ed, non_manifold_edges.size());
         non_manifold_edges.resize(non_manifold_edges.size()+1);
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h
index 909eb23c6f7..fdabb7327b0 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/corefinement.h
@@ -895,18 +895,22 @@ corefine_and_compute_difference(      TriangleMesh& tm1,
   User_visitor uv( boost::choose_param( boost::get_param(np1, internal_np::graph_visitor),
                    Corefinement::Default_visitor<TriangleMesh>() ) );
 
+  static const bool handle_non_manifold_features =
+    !parameters::Is_default<internal_np::non_manifold_feature_map_t, NamedParameters1>::value ||
+    !parameters::Is_default<internal_np::non_manifold_feature_map_t, NamedParameters2>::value;
+
 // surface intersection algorithm call
   typedef Corefinement::No_extra_output_from_corefinement<TriangleMesh> Ob;
   typedef Corefinement::Surface_intersection_visitor_for_corefinement<
-    TriangleMesh, Vpm, Ob, Ecm, User_visitor> Algo_visitor;
+    TriangleMesh, Vpm, Ob, Ecm, User_visitor, false, handle_non_manifold_features> Algo_visitor;
   Ob ob;
   Ecm ecm(tm1,tm2,ecm1,ecm2);
   Corefinement::Intersection_of_triangle_meshes<TriangleMesh, Vpm, Algo_visitor>
     functor(tm1, tm2, vpm1, vpm2, Algo_visitor(uv,ob,ecm));
 
   // Fill non-manifold feature maps if provided
-  functor.set_non_manifold_features_map_1(boost::get_param(np1, internal_np::non_manifold_features_map));
-  functor.set_non_manifold_features_map_2(boost::get_param(np2, internal_np::non_manifold_features_map));
+  functor.set_non_manifold_feature_map_1(boost::get_param(np1, internal_np::non_manifold_feature_map));
+  functor.set_non_manifold_feature_map_2(boost::get_param(np2, internal_np::non_manifold_feature_map));
 
   functor(CGAL::Emptyset_iterator(), throw_on_self_intersection, true);
 }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index c5432d4035d..ce54494c023 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -115,7 +115,8 @@ template< class TriangleMesh,
           class OutputBuilder_ = Default,
           class EdgeMarkMapBind_ = Default,
           class UserVisitor_ = Default,
-          bool doing_autorefinement = false >
+          bool doing_autorefinement = false,
+          bool handle_non_manifold_features = false >
 class Surface_intersection_visitor_for_corefinement{
 //default template parameters
   typedef typename Default::Get<EdgeMarkMapBind_,
@@ -149,6 +150,7 @@ private:
                                            Mesh_to_vertices_on_intersection_map;
    typedef boost::unordered_map<vertex_descriptor,Node_id>    Vertex_to_node_id;
    typedef std::map<TriangleMesh*, Vertex_to_node_id> Mesh_to_vertex_to_node_id;
+   typedef Non_manifold_feature_map<TriangleMesh>               NM_features_map;
 // typedef for the CDT
    typedef typename Intersection_nodes<TriangleMesh,
         VertexPointMap, Predicates_on_constructions_needed>::Exact_kernel    EK;
@@ -174,6 +176,9 @@ private:
 
   std::map< Node_id,std::set<Node_id> > coplanar_constraints;
 
+// optional data members to handle non-manifold issues
+  std::map<const TriangleMesh*, const NM_features_map*> non_manifold_feature_maps;
+
 //data members that require initialization in the constructor
   UserVisitor& user_visitor;
   OutputBuilder& output_builder;
@@ -217,6 +222,40 @@ public:
     , input_with_coplanar_faces(false)
   {}
 
+  void
+  set_non_manifold_feature_map(
+    const TriangleMesh& tm,
+    const NM_features_map& nm)
+  {
+    non_manifold_feature_maps[&tm] = &nm;
+  }
+
+  void copy_nodes_ids_for_non_manifold_features()
+  {
+    for(const std::pair<const TriangleMesh*, const NM_features_map*>& tm_and_nm :
+        non_manifold_feature_maps)
+    {
+      // update nodes on edges
+      On_edge_map& on_edge_map = on_edge[const_cast<TriangleMesh*>(tm_and_nm.first)];
+      std::vector< std::pair<std::size_t, const Node_ids*> > edges_to_copy;
+      for (const std::pair<const edge_descriptor, Node_ids>& ed_and_ids : on_edge_map)
+      {
+        std::size_t eid = get(tm_and_nm.second->e_nm_id, ed_and_ids.first);
+        if (eid!=std::size_t(-1))
+          edges_to_copy.push_back(std::make_pair(eid,&(ed_and_ids.second)));
+      }
+      for(const std::pair<const std::size_t, const Node_ids*>& id_and_nodes : edges_to_copy)
+      {
+        const std::vector<edge_descriptor>& nm_edges =
+          tm_and_nm.second->non_manifold_edges[id_and_nodes.first];
+        CGAL_assertion( on_edge_map.count(nm_edges.front())==1 );
+
+        for (std::size_t i=1; i<nm_edges.size(); ++i)
+          on_edge_map[nm_edges[i]] = *id_and_nodes.second;
+      }
+    }
+  }
+
   template<class Graph_node>
   void annotate_graph(std::vector<Graph_node>& graph)
   {
@@ -561,7 +600,7 @@ public:
           // this condition ensures to consider only graph edges that are in
           // the same triangle
           if ( !points_on_triangle || it_vh!=id_to_CDT_vh.end() ){
-            CGAL_assertion(doing_autorefinement || it_vh!=id_to_CDT_vh.end());
+            CGAL_assertion(doing_autorefinement || handle_non_manifold_features || it_vh!=id_to_CDT_vh.end());
             if (it_vh==id_to_CDT_vh.end()) continue; // needed for autorefinement (interior nodes)
             cdt.insert_constraint(vh,it_vh->second);
             constrained_edges.push_back(std::make_pair(id,id_n));
@@ -601,6 +640,8 @@ public:
                  const VertexPointMap& vpm1,
                  const VertexPointMap& vpm2)
   {
+    copy_nodes_ids_for_non_manifold_features();
+
     nodes.all_nodes_created();
 
     TriangleMesh* tm1_ptr = const_cast<TriangleMesh*>(&tm1);
@@ -824,7 +865,7 @@ public:
           f_vertices[1]=it_fb->second.vertices[1];
           f_vertices[2]=it_fb->second.vertices[2];
           update_face_indices(f_vertices,f_indices,vertex_to_node_id);
-          if (doing_autorefinement)
+          if (doing_autorefinement || handle_non_manifold_features)
             it_fb->second.update_node_id_to_vertex_map(node_id_to_vertex, tm);
         }
         else{
@@ -870,7 +911,7 @@ public:
           {
             id_to_CDT_vh.insert(
                 std::make_pair(f_indices[ik],triangle_vertices[ik]));
-            if (doing_autorefinement)
+            if (doing_autorefinement || handle_non_manifold_features)
               // update the current vertex in node_id_to_vertex
               // to match the one of the face
               node_id_to_vertex[f_indices[ik]]=f_vertices[ik];
@@ -1039,8 +1080,6 @@ public:
       }
     }
 
-    nodes.finalize();
-
     // additional operations
     output_builder(nodes,
                    input_with_coplanar_faces,
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 8b0ccfcf8e6..74013d712ee 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -33,7 +33,7 @@
 #include <CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_of_coplanar_triangles_3.h>
 #include <CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h>
 #include <CGAL/Polygon_mesh_processing/internal/Corefinement/intersect_triangle_and_segment_3.h>
-#include <CGAL/Polygon_mesh_processing/Non_manifold_features_map.h>
+#include <CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h>
 #include <CGAL/utility.h>
 
 #include <boost/unordered_map.hpp>
@@ -109,9 +109,12 @@ struct Default_surface_intersection_visitor{
   // If we implement a predicate only test, we can get rid of it.
   static const bool Predicates_on_constructions_needed = doing_autorefinement;
   static const bool do_need_vertex_graph = false;
+  void set_non_manifold_feature_map(
+    const TriangleMesh&,
+    const Non_manifold_feature_map<TriangleMesh>&)
+  {}
 };
 
-
 struct Node_id_set {
   typedef std::size_t Node_id;
 
@@ -197,8 +200,8 @@ class Intersection_of_triangle_meshes
   Node_visitor visitor;
   Faces_to_nodes_map         f_to_node;      //Associate a pair of triangles to their intersection points
   std::vector<Node_id> extra_terminal_nodes; //used only for autorefinement
-  Non_manifold_features_map<TriangleMesh> non_manifold_features_map_1,
-                                          non_manifold_features_map_2;
+  Non_manifold_feature_map<TriangleMesh> non_manifold_feature_map_1,
+                                          non_manifold_feature_map_2;
   CGAL_assertion_code(bool doing_autorefinement;)
 
 // member functions
@@ -206,7 +209,7 @@ class Intersection_of_triangle_meshes
                             const TriangleMesh& tm_e,
                             const VertexPointMap& vpm_f,
                             const VertexPointMap& vpm_e,
-                            const Non_manifold_features_map<TriangleMesh>& non_manifold_features_map,
+                            const Non_manifold_feature_map<TriangleMesh>& non_manifold_feature_map,
                             bool throw_on_self_intersection)
   {
     std::vector<Box> face_boxes, edge_boxes;
@@ -227,7 +230,7 @@ class Intersection_of_triangle_meshes
 
     edge_boxes.reserve(num_edges(tm_e));
     edge_boxes_ptr.reserve(num_edges(tm_e));
-    if (non_manifold_features_map.non_manifold_edges.empty())
+    if (non_manifold_feature_map.non_manifold_edges.empty())
       // general manifold case
       for(edge_descriptor ed : edges(tm_e))
       {
@@ -242,16 +245,16 @@ class Intersection_of_triangle_meshes
         // non-manifold case
         for(edge_descriptor ed : edges(tm_e))
         {
-          std::size_t eid=get(non_manifold_features_map.e_nm_id, ed);
+          std::size_t eid=get(non_manifold_feature_map.e_nm_id, ed);
           halfedge_descriptor h=halfedge(ed,tm_e);
           // insert only one copy of a non-manifold edge
           if (eid!=std::size_t(-1))
           {
-            if (non_manifold_features_map.non_manifold_edges[eid].front()!=ed)
+            if (non_manifold_feature_map.non_manifold_edges[eid].front()!=ed)
               continue;
             else
               // make sure the halfedge used is consistant with stored one
-              h = halfedge(non_manifold_features_map.non_manifold_edges[eid].front(), tm_e);
+              h = halfedge(non_manifold_feature_map.non_manifold_edges[eid].front(), tm_e);
           }
           edge_boxes.push_back( Box(
             get(vpm_e,source(h,tm_e)).bbox() +
@@ -698,7 +701,8 @@ class Intersection_of_triangle_meshes
                                    const TriangleMesh& tm2,
                                    const VertexPointMap& vpm1,
                                    const VertexPointMap& vpm2,
-                                   const Non_manifold_features_map<TriangleMesh>& non_manifold_features_map,
+                                   const Non_manifold_feature_map<TriangleMesh>& nm_features_map_1,
+                                   const Non_manifold_feature_map<TriangleMesh>& nm_features_map_2,
                                    Node_id& current_node)
   {
     typedef std::tuple<Intersection_type, halfedge_descriptor, bool,bool>  Inter_type;
@@ -709,9 +713,9 @@ class Intersection_of_triangle_meshes
     {
       edge_descriptor e_1=it->first;
 
-      std::size_t eid_1 = non_manifold_features_map.non_manifold_edges.empty() ?
+      std::size_t eid_1 = nm_features_map_1.non_manifold_edges.empty() ?
                           std::size_t(-1) :
-                          get(non_manifold_features_map.e_nm_id, e_1);
+                          get(nm_features_map_1.e_nm_id, e_1);
 
       halfedge_descriptor h_1=halfedge(e_1,tm1);
       Face_set& fset=it->second;
@@ -768,9 +772,22 @@ class Intersection_of_triangle_meshes
               add_intersection_point_to_face_and_all_edge_incident_faces(f_2,*it_edge,tm2,tm1,node_id);
               //erase face from the list to test intersection with it_edge
               if ( it_edge==all_edges.begin() )
+              {
                 fset.erase(fset.begin());
+                if (eid_1!=std::size_t(-1))
+                {
+                  for (std::size_t k=1;
+                                   k<nm_features_map_1.non_manifold_edges[eid_1].size();
+                                   ++k)
+                  {
+                    add_intersection_point_to_face_and_all_edge_incident_faces(f_2,halfedge(nm_features_map_1.non_manifold_edges[eid_1][k], tm1),tm2,tm1,node_id);
+                  }
+                }
+              }
               else
               {
+// TODO_NM: removal depends on the non-manifold vertices and not only the current edge!!!!
+
                 typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(*it_edge,tm1));
                 if(it_ets!=tm1_edge_to_tm2_faces.end()) it_ets->second.erase(f_2);
               }
@@ -1140,7 +1157,7 @@ class Intersection_of_triangle_meshes
       }
       else{
         CGAL_assertion(segment.size()==1);
-        isolated_point_seen=true;
+        isolated_point_seen=true; // NOT TRUE CAN BE END POINT OF POLYLINE FALLING ONTO AN INPUT EDGE
       }
     }
 
@@ -1324,15 +1341,17 @@ public:
   }
 
 // setting maps of non manifold features
-  void set_non_manifold_features_map_1(boost::param_not_found){}
-  void set_non_manifold_features_map_2(boost::param_not_found){}
-  void set_non_manifold_features_map_1(const Non_manifold_features_map<TriangleMesh>& m)
+  void set_non_manifold_feature_map_1(boost::param_not_found){}
+  void set_non_manifold_feature_map_2(boost::param_not_found){}
+  void set_non_manifold_feature_map_1(const Non_manifold_feature_map<TriangleMesh>& m)
   {
-    non_manifold_features_map_1=m;
+    non_manifold_feature_map_1=m;
+    visitor.set_non_manifold_feature_map(nodes.tm1, non_manifold_feature_map_1);
   }
-  void set_non_manifold_features_map_2(const Non_manifold_features_map<TriangleMesh>& m)
+  void set_non_manifold_feature_map_2(const Non_manifold_feature_map<TriangleMesh>& m)
   {
-    non_manifold_features_map_2=m;
+    non_manifold_feature_map_2=m;
+    visitor.set_non_manifold_feature_map(nodes.tm2, non_manifold_feature_map_2);
   }
 
   template <class OutputIterator>
@@ -1347,8 +1366,8 @@ public:
     const VertexPointMap& vpm1=nodes.vpm1;
     const VertexPointMap& vpm2=nodes.vpm2;
 
-    filter_intersections(tm1, tm2, vpm1, vpm2, non_manifold_features_map_2, throw_on_self_intersection);
-    filter_intersections(tm2, tm1, vpm2, vpm1, non_manifold_features_map_1, throw_on_self_intersection);
+    filter_intersections(tm1, tm2, vpm1, vpm2, non_manifold_feature_map_2, throw_on_self_intersection);
+    filter_intersections(tm2, tm1, vpm2, vpm1, non_manifold_feature_map_1, throw_on_self_intersection);
 
     Node_id current_node((std::numeric_limits<Node_id>::max)());
     CGAL_assertion(current_node+1==0);
@@ -1373,8 +1392,9 @@ public:
                                          ? stm_edge_to_ltm_faces
                                          : ltm_edge_to_stm_faces;
 
-    compute_intersection_points(tm1_edge_to_tm2_faces, tm1, tm2, vpm1, vpm2, non_manifold_features_map_1, current_node);
-    compute_intersection_points(tm2_edge_to_tm1_faces, tm2, tm1, vpm2, vpm1, non_manifold_features_map_2, current_node);
+    compute_intersection_points(tm1_edge_to_tm2_faces, tm1, tm2, vpm1, vpm2, non_manifold_feature_map_1, non_manifold_feature_map_2, current_node);
+    compute_intersection_points(tm2_edge_to_tm1_faces, tm2, tm1, vpm2, vpm1, non_manifold_feature_map_2, non_manifold_feature_map_1, current_node);
+
     if (!build_polylines){
       visitor.finalize(nodes,tm1,tm2,vpm1,vpm2);
       return output;
@@ -1428,7 +1448,7 @@ public:
 
     //compute intersection points of segments and triangles.
     //build the nodes of the graph and connectivity infos
-    compute_intersection_points(stm_edge_to_ltm_faces, tm, tm, vpm, vpm, current_node);
+    compute_intersection_points(stm_edge_to_ltm_faces, tm, tm, vpm, vpm, non_manifold_feature_map_1, non_manifold_feature_map_1, current_node);
 
     if (!build_polylines){
       visitor.finalize(nodes,tm,tm,vpm,vpm);
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h
index 4029676a33c..b46d5b72781 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/intersection.h
@@ -411,10 +411,10 @@ compute_face_face_intersection(const FaceRange& face_range1,
   typedef TriangleMesh TM;
   typedef typename boost::graph_traits<TM>::face_descriptor face_descriptor;
   typedef typename CGAL::Box_intersection_d::Box_with_info_d<double, 3, face_descriptor> Box;
-  
+
   CGAL::Bbox_3 b1 = CGAL::Polygon_mesh_processing::bbox(tm1, np1),
                b2 = CGAL::Polygon_mesh_processing::bbox(tm2, np2);
-  
+
   if(!CGAL::do_overlap(b1, b2))
   {
     return out;
@@ -661,7 +661,7 @@ compute_face_polylines_intersection(const FaceRange& face_range,
   using boost::get_param;
 
   CGAL_precondition(CGAL::is_triangle_mesh(tm));
-  
+
   CGAL::Bbox_3 b1,b2;
   b1 = CGAL::Polygon_mesh_processing::bbox(tm, np);
   for(std::size_t i =0; i< polyline_range.size(); ++i)
@@ -669,10 +669,10 @@ compute_face_polylines_intersection(const FaceRange& face_range,
     b2 += CGAL::bbox_3(polyline_range[i].begin(),
                        polyline_range[i].end());
   }
-  
+
   if(!CGAL::do_overlap(b1,b2))
     return out;
-  
+
   typedef TriangleMesh TM;
   typedef typename boost::graph_traits<TM>::face_descriptor face_descriptor;
   typedef typename GetVertexPointMap<TM, NamedParameters>::const_type VertexPointMap;
@@ -887,7 +887,7 @@ compute_polylines_polylines_intersection(const PolylineRange& polylines1,
     b2 += CGAL::bbox_3(poly.begin(), poly.end());
   }
   boxes2.reserve(polylines_size);
-  
+
   if(!CGAL::do_overlap(b1,b2))
     return out;
   std::size_t range_size = std::distance( boost::begin(polylines1), boost::end(polylines1) );
@@ -1715,6 +1715,11 @@ surface_intersection(const TriangleMesh& tm1,
 
   Corefinement::Intersection_of_triangle_meshes<TriangleMesh,Vpm>
     functor(tm1, tm2, vpm1, vpm2);
+
+  // Fill non-manifold feature maps if provided
+  functor.set_non_manifold_feature_map_1(boost::get_param(np1, internal_np::non_manifold_feature_map));
+  functor.set_non_manifold_feature_map_2(boost::get_param(np2, internal_np::non_manifold_feature_map));
+
   return functor(polyline_output, throw_on_self_intersection, true);
 }
 

From 42bef4e9269af15cfca03c71793fb9fd76218789 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 20 Jun 2019 16:04:35 +0200
Subject: [PATCH 006/317] WIP backup commit - add non manifold vertices

---
 .../Non_manifold_feature_map.h                | 33 ++++++++++++++++++
 .../internal/Corefinement/Visitor.h           | 34 +++++++++++++++++--
 2 files changed, 64 insertions(+), 3 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
index 322d52b7925..edbb9809a54 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
@@ -31,12 +31,17 @@ template <class PolygonMesh>
 struct Non_manifold_feature_map
 {
   typedef boost::graph_traits<PolygonMesh> Graph_traits;
+  typedef typename Graph_traits::vertex_descriptor vertex_descriptor;
   typedef typename Graph_traits::edge_descriptor edge_descriptor;
   typedef typename Graph_traits::halfedge_descriptor halfedge_descriptor;
   typedef dynamic_edge_property_t<std::size_t> Edge_to_id_tag;
+  typedef dynamic_vertex_property_t<std::size_t> Vertex_to_id_tag;
   typedef typename boost::property_map<PolygonMesh, Edge_to_id_tag>::type Edge_to_nm_id;
+  typedef typename boost::property_map<PolygonMesh, Vertex_to_id_tag>::type Vertex_to_nm_id;
   Edge_to_nm_id e_nm_id;
+  Vertex_to_nm_id v_nm_id;
   std::vector< std::vector<edge_descriptor> > non_manifold_edges;
+  std::vector< std::vector<vertex_descriptor> > non_manifold_vertices;
 
   Non_manifold_feature_map()
   {}
@@ -44,15 +49,43 @@ struct Non_manifold_feature_map
   template <class Vpm>
   Non_manifold_feature_map(PolygonMesh& pm, Vpm vpm)
     : e_nm_id(get(Edge_to_id_tag(), pm))
+    , v_nm_id(get(Vertex_to_id_tag(), pm))
   {
     typedef typename boost::property_traits<Vpm>::value_type Point_3;
 
+  // detect non-manifold vertices
+    std::map<Point_3, std::vector<vertex_descriptor> > vertex_map;
+    for(vertex_descriptor vd : vertices(pm))
+    {
+      put(v_nm_id, vd, std::size_t(-1)); // init map
+      vertex_map[get(vpm, vd)].push_back(vd);
+    }
+
+    for(std::pair< const Point_3,
+                   std::vector<vertex_descriptor> >& p : vertex_map)
+    {
+      if (p.second.size()!=1)
+      {
+        for (vertex_descriptor vd : p.second)
+          put(v_nm_id, vd, non_manifold_vertices.size());
+        non_manifold_vertices.resize(non_manifold_vertices.size()+1);
+        // we steal the vertor from the map
+        p.second.swap(non_manifold_vertices.back());
+      }
+    }
+
+  // detect non-manifold edges
     std::map< std::pair<Point_3, Point_3>, std::vector<edge_descriptor> > edge_map;
     for(edge_descriptor ed : edges(pm))
     {
       put(e_nm_id, ed, std::size_t(-1)); // init map
 
       halfedge_descriptor hd = halfedge(ed, pm);
+
+      // an edge can be non-manifold only if both its vertices are non-manifold
+      if ( get(v_nm_id, source(hd, pm))==std::size_t(-1) ||
+           get(v_nm_id, target(hd, pm))==std::size_t(-1) ) continue;
+
       const Point_3& src = get(vpm, source(ed, pm));
       const Point_3& tgt = get(vpm, target(ed, pm));
       // TODO: what to do with null edges?
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index ce54494c023..7f324dfd9f4 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -235,8 +235,9 @@ public:
     for(const std::pair<const TriangleMesh*, const NM_features_map*>& tm_and_nm :
         non_manifold_feature_maps)
     {
+      TriangleMesh* tm_ptr = const_cast<TriangleMesh*>(tm_and_nm.first);
       // update nodes on edges
-      On_edge_map& on_edge_map = on_edge[const_cast<TriangleMesh*>(tm_and_nm.first)];
+      On_edge_map& on_edge_map = on_edge[tm_ptr];
       std::vector< std::pair<std::size_t, const Node_ids*> > edges_to_copy;
       for (const std::pair<const edge_descriptor, Node_ids>& ed_and_ids : on_edge_map)
       {
@@ -253,6 +254,32 @@ public:
         for (std::size_t i=1; i<nm_edges.size(); ++i)
           on_edge_map[nm_edges[i]] = *id_and_nodes.second;
       }
+
+      // update map vertex -> node_id
+      Vertex_to_node_id& vertex_to_node_id = mesh_to_vertex_to_node_id[tm_ptr];
+      Node_to_target_of_hedge_map vertices_on_inter = mesh_to_vertices_on_inter[tm_ptr];
+
+      std::vector< std::pair<vertex_descriptor, Node_id> > vertices_to_add;
+      for (const typename std::pair<const vertex_descriptor, Node_id>& vd_and_id
+          : vertex_to_node_id)
+      {
+        std::size_t vid = get(tm_and_nm.second->v_nm_id, vd_and_id.first);
+        if (vid!=std::size_t(-1))
+          vertices_to_add.push_back(std::make_pair(vd_and_id.first,vd_and_id.second));
+        for(const std::pair<vertex_descriptor, Node_id>& vd_and_nid : vertices_to_add)
+        {
+          std::size_t vid = get(tm_and_nm.second->v_nm_id, vd_and_nid.first);
+          for(vertex_descriptor vd : tm_and_nm.second->non_manifold_vertices[vid])
+          {
+            if (vd != vd_and_nid.first)
+            {
+              vertex_to_node_id.insert(std::make_pair(vd,vd_and_nid.second));
+              output_builder.set_vertex_id(vd, vd_and_nid.second, *tm_ptr);
+              vertices_on_inter.insert(std::make_pair(vd_and_nid.second,halfedge(vd,*tm_ptr)));
+            }
+          }
+        }
+      }
     }
   }
 
@@ -509,8 +536,9 @@ public:
       std::copy(begin,end,std::back_inserter(node_ids_array[it_id->second]));
     }
 
-    // Used by the autorefinement to re-set the id of nodes on the boundary of a
-    // face since another vertex (inside a face or on another edge) might have
+    // Used by the autorefinement and non-manifold edge handling to re-set
+    // the id of nodes on the boundary of a face since another vertex
+    // (inside a face or on another edge) might have
     // overwritten the vertex in node_id_to_vertex
     template <class Node_id_to_vertex>
     void update_node_id_to_vertex_map(Node_id_to_vertex& node_id_to_vertex,

From 0e31256379523171d903e69fe08768a0bcf1ea4f Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 24 Jun 2019 09:30:36 +0200
Subject: [PATCH 007/317] rename confusing variable

---
 .../internal/Corefinement/intersection_impl.h  | 18 +++++++++---------
 1 file changed, 9 insertions(+), 9 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 74013d712ee..a9e31f5b294 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -399,14 +399,14 @@ class Intersection_of_triangle_meshes
   }
 
   void add_intersection_point_to_face_and_all_edge_incident_faces(face_descriptor f_1,
-                                                                  halfedge_descriptor e_2,
+                                                                  halfedge_descriptor h_2,
                                                                   const TriangleMesh& tm1,
                                                                   const TriangleMesh& tm2,
                                                                   Node_id node_id)
   {
-    if (!is_border(e_2, tm2))
+    if (!is_border(h_2, tm2))
     {
-      face_descriptor f_2 = face(e_2, tm2);
+      face_descriptor f_2 = face(h_2, tm2);
       if(&tm1!=&tm2 || f_1!=f_2)
       {
         Face_pair face_pair = &tm1==&tm2 ? make_sorted_pair(f_1,f_2):
@@ -417,10 +417,10 @@ class Intersection_of_triangle_meshes
           f_to_node[Face_pair_and_int(face_pair,0)].insert(node_id);
       }
     }
-    e_2 = opposite(e_2, tm2);
-    if (!is_border(e_2, tm2))
+    h_2 = opposite(h_2, tm2);
+    if (!is_border(h_2, tm2))
     {
-      face_descriptor f_2 = face(e_2, tm2);
+      face_descriptor f_2 = face(h_2, tm2);
       if(&tm1!=&tm2 || f_1!=f_2)
       {
         Face_pair face_pair = &tm1==&tm2 ? make_sorted_pair(f_1,f_2):
@@ -521,14 +521,14 @@ class Intersection_of_triangle_meshes
   }
 
   void handle_coplanar_case_VERTEX_EDGE(halfedge_descriptor v_1,
-                                        halfedge_descriptor e_2,
+                                        halfedge_descriptor h_2,
                                         const TriangleMesh& tm1,
                                         const TriangleMesh& tm2,
                                         Node_id node_id,
                                         bool is_new_node)
   {
     if(is_new_node)
-      visitor.new_node_added(node_id,ON_VERTEX,e_2,v_1,tm2,tm1,false,false);
+      visitor.new_node_added(node_id,ON_VERTEX,h_2,v_1,tm2,tm1,false,false);
 
     Edge_to_faces& tm1_edge_to_tm2_faces = &tm1 <= &tm2
                                          ? stm_edge_to_ltm_faces
@@ -539,7 +539,7 @@ class Intersection_of_triangle_meshes
     {
       typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(h_1,tm1));
       Face_set* fset = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
-      cip_handle_case_edge(node_id,fset,h_1,e_2,tm1,tm2);
+      cip_handle_case_edge(node_id,fset,h_1,h_2,tm1,tm2);
     }
   }
 

From a903d3585a847f6ec9ff9d16e00bce1203366e1a Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 24 Jun 2019 10:18:30 +0200
Subject: [PATCH 008/317] WIP handle non-manifold edges with edge endpoint on a
 face

---
 .../internal/Corefinement/intersection_impl.h | 38 ++++++++++++-------
 1 file changed, 24 insertions(+), 14 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index a9e31f5b294..d968812c136 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -713,9 +713,7 @@ class Intersection_of_triangle_meshes
     {
       edge_descriptor e_1=it->first;
 
-      std::size_t eid_1 = nm_features_map_1.non_manifold_edges.empty() ?
-                          std::size_t(-1) :
-                          get(nm_features_map_1.e_nm_id, e_1);
+
 
       halfedge_descriptor h_1=halfedge(e_1,tm1);
       Face_set& fset=it->second;
@@ -740,6 +738,29 @@ class Intersection_of_triangle_meshes
             all_edges.push_back(h_1);
         }
 
+        if (!nm_features_map_1.non_manifold_edges.empty())
+        {
+          std::size_t nb_edges = all_edges.size();
+          for (std::size_t ie=0; ie<nb_edges; ++ie)
+          {
+            halfedge_descriptor h1 = all_edges[ie];
+            edge_descriptor e1 = edge(h1, tm1);
+            std::size_t eid1 = get(nm_features_map_1.e_nm_id, e1);
+            if (eid1 != std::size_t(-1))
+            {
+              for (std::size_t k=0;
+                               k<nm_features_map_1.non_manifold_edges[eid1].size();
+                               ++k)
+              {
+                edge_descriptor e1b = nm_features_map_1.non_manifold_edges[eid1][k];
+                if (e1b!=e1)
+                  // note that the orientation of the halfedge pushed back is
+                  // not relevant for how it is used in the following
+                  all_edges.push_back(halfedge(e1b, tm1));
+              }
+            }
+          }
+        }
         CGAL_precondition(all_edges[0]==h_1 || all_edges[0]==opposite(h_1,tm1));
 
         // #ifdef USE_DETECTION_MULTIPLE_DEFINED_EDGES
@@ -774,20 +795,9 @@ class Intersection_of_triangle_meshes
               if ( it_edge==all_edges.begin() )
               {
                 fset.erase(fset.begin());
-                if (eid_1!=std::size_t(-1))
-                {
-                  for (std::size_t k=1;
-                                   k<nm_features_map_1.non_manifold_edges[eid_1].size();
-                                   ++k)
-                  {
-                    add_intersection_point_to_face_and_all_edge_incident_faces(f_2,halfedge(nm_features_map_1.non_manifold_edges[eid_1][k], tm1),tm2,tm1,node_id);
-                  }
-                }
               }
               else
               {
-// TODO_NM: removal depends on the non-manifold vertices and not only the current edge!!!!
-
                 typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(*it_edge,tm1));
                 if(it_ets!=tm1_edge_to_tm2_faces.end()) it_ets->second.erase(f_2);
               }

From 0c49b605414d9364242ab40089e20f716443a65b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 24 Jun 2019 11:44:52 +0200
Subject: [PATCH 009/317] WIP handle intersection on non-manifold edge

---
 .../internal/Corefinement/intersection_impl.h | 23 ++++++++++++++++---
 1 file changed, 20 insertions(+), 3 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index d968812c136..27057ca0afd 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -201,7 +201,7 @@ class Intersection_of_triangle_meshes
   Faces_to_nodes_map         f_to_node;      //Associate a pair of triangles to their intersection points
   std::vector<Node_id> extra_terminal_nodes; //used only for autorefinement
   Non_manifold_feature_map<TriangleMesh> non_manifold_feature_map_1,
-                                          non_manifold_feature_map_2;
+                                         non_manifold_feature_map_2;
   CGAL_assertion_code(bool doing_autorefinement;)
 
 // member functions
@@ -812,14 +812,31 @@ class Intersection_of_triangle_meshes
             add_new_node(h_1,f_2,tm1,tm2,vpm1,vpm2,res);
             halfedge_descriptor h_2=std::get<1>(res);
             visitor.new_node_added(node_id,ON_EDGE,h_1,h_2,tm1,tm2,std::get<3>(res),std::get<2>(res));
+
+            std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
+                             ? std::size_t(-1)
+                             : get(nm_features_map_2.e_nm_id, edge(h_2, tm2));
+
             for (;it_edge!=all_edges.end();++it_edge){
               if ( it_edge!=all_edges.begin() ){
                 typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(*it_edge,tm1));
                 Face_set* fset_bis = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
-                cip_handle_case_edge(node_id,fset_bis,*it_edge,h_2,tm1,tm2);
+                if( eid2 == std::size_t(-1) )
+                  cip_handle_case_edge(node_id,fset_bis,*it_edge,h_2,tm1,tm2);
+                else
+                {
+                  for (edge_descriptor e2 : nm_features_map_2.non_manifold_edges[eid2])
+                    cip_handle_case_edge(node_id,fset_bis,*it_edge,halfedge(e2, tm2),tm1,tm2);
+                }
               }
               else
-                cip_handle_case_edge(node_id,&fset,*it_edge,h_2,tm1,tm2);
+              {
+                if( eid2 == std::size_t(-1) )
+                  cip_handle_case_edge(node_id,&fset,*it_edge,h_2,tm1,tm2);
+                else
+                  for (edge_descriptor e2 : nm_features_map_2.non_manifold_edges[eid2])
+                    cip_handle_case_edge(node_id,&fset,*it_edge,halfedge(e2, tm2),tm1,tm2);
+              }
             }
           } // end case ON_EDGE
           break;

From 5d8768c8ac01e8363ffd8b329865bda5591c8b28 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 24 Jun 2019 11:51:45 +0200
Subject: [PATCH 010/317] WIP handle intersection on non-manifold vertex

---
 .../internal/Corefinement/intersection_impl.h   | 17 +++++++++++++++--
 1 file changed, 15 insertions(+), 2 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 27057ca0afd..52f2ca48931 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -848,14 +848,27 @@ class Intersection_of_triangle_meshes
             nodes.add_new_node(get(vpm2, target(h_2,tm2))); //we use the original vertex to create the node
             //before it was ON_FACE but do not remember why, probably a bug...
             visitor.new_node_added(node_id,ON_VERTEX,h_1,h_2,tm1,tm2,std::get<3>(res),std::get<2>(res));
+
+            std::size_t vid2 = nm_features_map_2.non_manifold_vertices.empty()
+                             ? std::size_t(-1)
+                             : get(nm_features_map_2.v_nm_id, target(h_2, tm2));
+
             for (;it_edge!=all_edges.end();++it_edge){
               if ( it_edge!=all_edges.begin() ){
                 typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(*it_edge,tm1));
                 Face_set* fset_bis = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
-                cip_handle_case_vertex(node_id,fset_bis,*it_edge,h_2,tm1,tm2);
+                if( vid2 == std::size_t(-1) )
+                  cip_handle_case_vertex(node_id,fset_bis,*it_edge,h_2,tm1,tm2);
+                else
+                  for (vertex_descriptor vd2 : nm_features_map_2.non_manifold_vertices[vid2])
+                    cip_handle_case_vertex(node_id,fset_bis,*it_edge,halfedge(vd2, tm2),tm1,tm2);
               }
               else
-                cip_handle_case_vertex(node_id,&fset,*it_edge,h_2,tm1,tm2);
+                if( vid2 == std::size_t(-1) )
+                  cip_handle_case_vertex(node_id,&fset,*it_edge,h_2,tm1,tm2);
+                else
+                  for (vertex_descriptor vd2 : nm_features_map_2.non_manifold_vertices[vid2])
+                    cip_handle_case_vertex(node_id,&fset,*it_edge,halfedge(vd2, tm2),tm1,tm2);
             }
           } // end case ON_VERTEX
           break;

From 0f9d57116829274fad4efea9d7fba40bdfbdb613 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 25 Jun 2019 10:09:27 +0200
Subject: [PATCH 011/317] WIP code for coplanar and non-manifold edges

---
 .../internal/Corefinement/intersection_impl.h | 143 ++++++++++++++----
 1 file changed, 110 insertions(+), 33 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 52f2ca48931..cca786e6b75 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -501,6 +501,7 @@ class Intersection_of_triangle_meshes
                                         halfedge_descriptor f_2,
                                         const TriangleMesh& tm1,
                                         const TriangleMesh& tm2,
+                                        const Non_manifold_feature_map<TriangleMesh>& nm_features_map_1,
                                         Node_id node_id,
                                         bool is_new_node)
   {
@@ -511,19 +512,31 @@ class Intersection_of_triangle_meshes
                                          ? stm_edge_to_ltm_faces
                                          : ltm_edge_to_stm_faces;
 
-    for(halfedge_descriptor h_1 :
-                  halfedges_around_target(v_1,tm1))
-    {
-      add_intersection_point_to_face_and_all_edge_incident_faces(face(f_2,tm2),h_1,tm2,tm1,node_id);
-      typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(h_1,tm1));
-      if (it_ets!=tm1_edge_to_tm2_faces.end()) it_ets->second.erase(face(f_2,tm2));
-    }
+    std::vector<vertex_descriptor> tmp_vertices_1(1, target(v_1, tm1));
+
+    std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
+      ? std::size_t(-1)
+      : get(nm_features_map_1.v_nm_id, target(v_1, tm1));
+
+    const std::vector<vertex_descriptor>& vertices_1 = vid1==std::size_t(-1)
+                                                     ? tmp_vertices_1
+                                                     : nm_features_map_1.non_manifold_vertices[vid1];
+    for(vertex_descriptor v1 : vertices_1)
+      for(halfedge_descriptor h_1 :
+                    halfedges_around_target(v1,tm1))
+      {
+        add_intersection_point_to_face_and_all_edge_incident_faces(face(f_2,tm2),h_1,tm2,tm1,node_id);
+        typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(h_1,tm1));
+        if (it_ets!=tm1_edge_to_tm2_faces.end()) it_ets->second.erase(face(f_2,tm2));
+      }
   }
 
   void handle_coplanar_case_VERTEX_EDGE(halfedge_descriptor v_1,
                                         halfedge_descriptor h_2,
                                         const TriangleMesh& tm1,
                                         const TriangleMesh& tm2,
+                                        const Non_manifold_feature_map<TriangleMesh>& nm_features_map_1,
+                                        const Non_manifold_feature_map<TriangleMesh>& nm_features_map_2,
                                         Node_id node_id,
                                         bool is_new_node)
   {
@@ -534,19 +547,43 @@ class Intersection_of_triangle_meshes
                                          ? stm_edge_to_ltm_faces
                                          : ltm_edge_to_stm_faces;
 
-    for(halfedge_descriptor h_1 :
-                  halfedges_around_target(v_1,tm1))
-    {
-      typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(h_1,tm1));
-      Face_set* fset = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
-      cip_handle_case_edge(node_id,fset,h_1,h_2,tm1,tm2);
-    }
+    std::vector<vertex_descriptor> tmp_vertices_1(1, target(v_1, tm1));
+
+    std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
+                     ? std::size_t(-1)
+                     : get(nm_features_map_1.v_nm_id, target(v_1, tm1));
+
+    const std::vector<vertex_descriptor>& vertices_1 = vid1==std::size_t(-1)
+                                                      ? tmp_vertices_1
+                                                      : nm_features_map_1.non_manifold_vertices[vid1];
+
+    std::vector<edge_descriptor> tmp_edges_2(1, edge(h_2, tm2));
+
+    std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
+                     ? std::size_t(-1)
+                     : get(nm_features_map_2.e_nm_id, edge(h_2, tm2));
+
+    const std::vector<edge_descriptor>& edges_2 = eid2==std::size_t(-1)
+                                                ? tmp_edges_2
+                                                : nm_features_map_2.non_manifold_edges[eid2];
+
+    for (vertex_descriptor v1 : vertices_1)
+      for(halfedge_descriptor h_1 :
+                    halfedges_around_target(v1,tm1))
+      {
+        typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(h_1,tm1));
+        Face_set* fset = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
+        for (edge_descriptor e2 : edges_2)
+          cip_handle_case_edge(node_id,fset,h_1,halfedge(e2, tm2),tm1,tm2);
+      }
   }
 
   void handle_coplanar_case_VERTEX_VERTEX(halfedge_descriptor v_1,
                                           halfedge_descriptor v_2,
                                           const TriangleMesh& tm1,
                                           const TriangleMesh& tm2,
+                                          const Non_manifold_feature_map<TriangleMesh>& nm_features_map_1,
+                                          const Non_manifold_feature_map<TriangleMesh>& nm_features_map_2,
                                           Node_id node_id,
                                           bool is_new_node)
   {
@@ -557,13 +594,33 @@ class Intersection_of_triangle_meshes
                                          ? stm_edge_to_ltm_faces
                                          : ltm_edge_to_stm_faces;
 
-    for(halfedge_descriptor h_1 :
-                  halfedges_around_target(v_1,tm1))
-    {
-      typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(h_1,tm1));
-      Face_set* fset = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
-      cip_handle_case_vertex(node_id,fset,h_1,v_2,tm1,tm2);
-    }
+    std::vector<vertex_descriptor> tmp_vertices_1(1, target(v_1, tm1)),
+                                   tmp_vertices_2(1, target(v_2, tm2));
+
+    std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
+                     ? std::size_t(-1)
+                     : get(nm_features_map_1.v_nm_id, target(v_1, tm1));
+
+    std::size_t vid2 = nm_features_map_2.non_manifold_vertices.empty()
+                     ? std::size_t(-1)
+                     : get(nm_features_map_2.v_nm_id, target(v_2, tm2));
+
+    const std::vector<vertex_descriptor>& vertices_1 = vid1==std::size_t(-1)
+                                                     ? tmp_vertices_1
+                                                     : nm_features_map_1.non_manifold_vertices[vid1];
+    const std::vector<vertex_descriptor>& vertices_2 = vid2==std::size_t(-1)
+                                                     ? tmp_vertices_2
+                                                     : nm_features_map_2.non_manifold_vertices[vid2];
+
+    for (vertex_descriptor v1 : vertices_1)
+      for(halfedge_descriptor h_1 :
+                    halfedges_around_target(v1,tm1))
+      {
+        typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(h_1,tm1));
+        Face_set* fset = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
+        for (vertex_descriptor v2 : vertices_2)
+          cip_handle_case_vertex(node_id,fset,h_1,halfedge(v2, tm2),tm1,tm2);
+      }
   }
 
   void compute_intersection_of_coplanar_faces(
@@ -571,7 +628,9 @@ class Intersection_of_triangle_meshes
     const TriangleMesh& tm1,
     const TriangleMesh& tm2,
     const VertexPointMap& vpm1,
-    const VertexPointMap& vpm2)
+    const VertexPointMap& vpm2,
+    const Non_manifold_feature_map<TriangleMesh>& nm_features_map_1,
+    const Non_manifold_feature_map<TriangleMesh>& nm_features_map_2)
   {
     CGAL_assertion( &tm1 < &tm2 || &tm1==&tm2 );
 
@@ -613,13 +672,13 @@ class Intersection_of_triangle_meshes
         {
           switch(ipt.type_2){
           case ON_VERTEX:
-            handle_coplanar_case_VERTEX_VERTEX(ipt.info_1,ipt.info_2,tm1,tm2,node_id,is_new_node);
+            handle_coplanar_case_VERTEX_VERTEX(ipt.info_1,ipt.info_2,tm1,tm2,nm_features_map_1,nm_features_map_2,node_id,is_new_node);
           break;
           case ON_EDGE:
-            handle_coplanar_case_VERTEX_EDGE(ipt.info_1,ipt.info_2,tm1,tm2,node_id,is_new_node);
+            handle_coplanar_case_VERTEX_EDGE(ipt.info_1,ipt.info_2,tm1,tm2,nm_features_map_1,nm_features_map_2,node_id,is_new_node);
           break;
           case ON_FACE:
-            handle_coplanar_case_VERTEX_FACE(ipt.info_1,ipt.info_2,tm1,tm2,node_id,is_new_node);
+            handle_coplanar_case_VERTEX_FACE(ipt.info_1,ipt.info_2,tm1,tm2,nm_features_map_1,node_id,is_new_node);
           break;
           default: CGAL_error_msg("Should not get there!");
           }
@@ -629,15 +688,33 @@ class Intersection_of_triangle_meshes
         {
           switch(ipt.type_2){
             case ON_VERTEX:
-              handle_coplanar_case_VERTEX_EDGE(ipt.info_2,ipt.info_1,tm2,tm1,node_id,is_new_node);
+              handle_coplanar_case_VERTEX_EDGE(ipt.info_2,ipt.info_1,tm2,tm1,nm_features_map_2,nm_features_map_1,node_id,is_new_node);
             break;
             case ON_EDGE:
             {
               if(is_new_node)
                 visitor.new_node_added(node_id,ON_EDGE,ipt.info_1,ipt.info_2,tm1,tm2,false,false);
-              typename Edge_to_faces::iterator it_ets=stm_edge_to_ltm_faces.find(edge(ipt.info_1,tm1));
-              Face_set* fset = (it_ets!=stm_edge_to_ltm_faces.end())?&(it_ets->second):nullptr;
-              cip_handle_case_edge(node_id,fset,ipt.info_1,ipt.info_2,tm1,tm2);
+              std::vector<edge_descriptor> tmp_edges_1(1, edge(ipt.info_1,tm1)),
+                                           tmp_edges_2(1, edge(ipt.info_2,tm2));
+              std::size_t eid1 = nm_features_map_1.non_manifold_edges.empty()
+                 ? std::size_t(-1)
+                 : get(nm_features_map_1.e_nm_id, edge(ipt.info_1, tm1));
+              std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
+                 ? std::size_t(-1)
+                 : get(nm_features_map_2.e_nm_id, edge(ipt.info_2, tm2));
+              const std::vector<edge_descriptor>& edges_1 = eid1==std::size_t(-1)
+                                                          ? tmp_edges_1
+                                                          : nm_features_map_1.non_manifold_edges[eid1];
+              const std::vector<edge_descriptor>& edges_2 = eid2==std::size_t(-1)
+                                                          ? tmp_edges_2
+                                                          : nm_features_map_2.non_manifold_edges[eid2];
+              for(edge_descriptor e1 : edges_1)
+                for(edge_descriptor e2 : edges_2)
+                {
+                  typename Edge_to_faces::iterator it_ets=stm_edge_to_ltm_faces.find(e1);
+                  Face_set* fset = (it_ets!=stm_edge_to_ltm_faces.end())?&(it_ets->second):nullptr;
+                  cip_handle_case_edge(node_id,fset,halfedge(e1,tm1),halfedge(e2,tm2),tm1,tm2);
+                }
             }
             break;
             default: CGAL_error_msg("Should not get there!");
@@ -647,7 +724,7 @@ class Intersection_of_triangle_meshes
         case ON_FACE:
         {
           CGAL_assertion(ipt.type_2==ON_VERTEX);
-          handle_coplanar_case_VERTEX_FACE(ipt.info_2,ipt.info_1,tm2,tm1,node_id,is_new_node);
+          handle_coplanar_case_VERTEX_FACE(ipt.info_2,ipt.info_1,tm2,tm1,nm_features_map_2,node_id,is_new_node);
         }
         break;
         default: CGAL_error_msg("Should not get there!");
@@ -1415,9 +1492,9 @@ public:
     #ifndef DO_NOT_HANDLE_COPLANAR_FACES
     //first handle coplanar triangles
     if (&tm1<&tm2)
-      compute_intersection_of_coplanar_faces(current_node, tm1, tm2, vpm1, vpm2);
+      compute_intersection_of_coplanar_faces(current_node, tm1, tm2, vpm1, vpm2, non_manifold_feature_map_1, non_manifold_feature_map_2);
     else
-      compute_intersection_of_coplanar_faces(current_node, tm2, tm1, vpm2, vpm1);
+      compute_intersection_of_coplanar_faces(current_node, tm2, tm1, vpm2, vpm1, non_manifold_feature_map_2, non_manifold_feature_map_1);
     visitor.set_number_of_intersection_points_from_coplanar_faces(current_node+1);
     if (!coplanar_faces.empty())
       visitor.input_have_coplanar_faces();
@@ -1480,7 +1557,7 @@ public:
     CGAL_assertion(current_node+1==0);
 
     //first handle coplanar triangles
-    compute_intersection_of_coplanar_faces(current_node, tm, tm, vpm, vpm);
+    compute_intersection_of_coplanar_faces(current_node, tm, tm, vpm, vpm, non_manifold_feature_map_1, non_manifold_feature_map_1);
     if (!coplanar_faces.empty())
       visitor.input_have_coplanar_faces();
 

From dda63a68ad75c209c55ae76ed84f5202035576ab Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 25 Jun 2019 10:09:55 +0200
Subject: [PATCH 012/317] more tests

---
 .../corefine_non_manifold.cpp                 | 202 ++++++++++++++++--
 1 file changed, 179 insertions(+), 23 deletions(-)

diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
index 4cf264612ab..7a82c4ea898 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
@@ -17,15 +17,10 @@ namespace PMP = CGAL::Polygon_mesh_processing;
 
 int main()
 {
-// {
-//   Surface_mesh tm;
-//   CGAL::make_triangle (P(0,0,0), P(5,0,0), P(0,5,0), tm);
-//   CGAL::make_triangle (P(1,1,-1), P(2,1,-1), P(1.5,1,1), tm);
-// std::ofstream("/tmp/tm.off") << tm;
-//   PMP::experimental::autorefine(tm);
-// std::ofstream("/tmp/tm_aurefined.off") << tm;
-// }
 
+// polyline intersection with a non-manifold edge
+{
+  std::cout << "running polyline test\n";
   Surface_mesh tm1;
   CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,4,0), P(0,4,0), tm1);
   CGAL::make_quad(P(0,-4,0), P(4,-4,0), P(4,0,0), P(0,0,0), tm1);
@@ -35,27 +30,188 @@ int main()
   PMP::triangulate_faces(tm1);
 
   Surface_mesh tm2;
-//  CGAL::make_quad(P(2,2,-2), P(2,-2,-2), P(2,-2,2), P(2,2,2), tm2);  //TODO: test me + also test splitting the diagonal
-// TODO: test more case including non-manifold vertices
   CGAL::make_quad(P(2,3,-2), P(2,-2,-2), P(2,-2,2), P(2,3,2), tm2);
   PMP::triangulate_faces(tm2);
 
   PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
 
-  // std::vector< std::vector<P> > polylines;
-  // PMP::surface_intersection(tm1, tm2, std::back_inserter(polylines), CGAL::parameters::non_manifold_feature_map(nm_map_1));
-  //
-  // //dump polylines
-  // std::ofstream output("intersection_polylines.cgal");
-  // for(const std::vector<P>& polyline : polylines)
-  // {
-  //   output << polyline.size() << " ";
-  //   std::copy(polyline.begin(), polyline.end(),std::ostream_iterator<P>(output," "));
-  //   output << "\n";
-  // }
+  std::vector< std::vector<P> > polylines;
+  PMP::surface_intersection(tm1, tm2, std::back_inserter(polylines), CGAL::parameters::non_manifold_feature_map(nm_map_1));
+
+  //dump polylines
+  std::ofstream output("intersection_polylines.cgal");
+  for(const std::vector<P>& polyline : polylines)
+  {
+    output << polyline.size() << " ";
+    std::copy(polyline.begin(), polyline.end(),std::ostream_iterator<P>(output," "));
+    output << "\n";
+  }
+}
+
+// simple case with only one non-manifold edge
+{
+  std::cout << "running corefinement test 1\n";
+  Surface_mesh tm1;
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,4,0), P(0,4,0), tm1);
+  CGAL::make_quad(P(0,-4,0), P(4,-4,0), P(4,0,0), P(0,0,0), tm1);
+  PMP::stitch_borders(tm1);
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,0,4), P(0,0,4), tm1);
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,0,-4), P(0,0,-4), tm1);
+  PMP::triangulate_faces(tm1);
+
+  Surface_mesh tm2;
+  CGAL::make_quad(P(2,3,-2), P(2,-2,-2), P(2,-2,2), P(2,3,2), tm2);
+  PMP::triangulate_faces(tm2);
+
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
 
   PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1));
 
-  std::ofstream("tm1_corefined.off") << tm1;
-  std::ofstream("tm2_corefined.off") << tm2;
+  std::ofstream("t1_tm1_corefined.off") << tm1;
+  std::ofstream("t1_tm2_corefined.off") << tm2;
+}
+
+// edge-edge intersection on a non-manifold edge
+{
+  std::cout << "running corefinement test 2\n";
+  Surface_mesh tm1;
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,4,0), P(0,4,0), tm1);
+  CGAL::make_quad(P(0,-4,0), P(4,-4,0), P(4,0,0), P(0,0,0), tm1);
+  PMP::stitch_borders(tm1);
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,0,4), P(0,0,4), tm1);
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,0,-4), P(0,0,-4), tm1);
+  PMP::triangulate_faces(tm1);
+
+  Surface_mesh tm2;
+  CGAL::make_quad(P(2,2,-2), P(2,-2,-2), P(2,-2,2), P(2,2,2), tm2);  //TODO: test me + also test splitting the diagonal
+  PMP::triangulate_faces(tm2);
+
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
+
+  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1));
+
+  std::ofstream("t2_tm1_corefined.off") << tm1;
+  std::ofstream("t2_tm2_corefined.off") << tm2;
+}
+
+// coplanar edge and non-manifold edge
+{
+  std::cout << "running corefinement test 3\n";
+  Surface_mesh tm1;
+  CGAL::make_quad(P(0,0,0), P(8,0,0), P(8,8,0), P(0,8,0), tm1);
+  CGAL::make_quad(P(8,0,0), P(12,0,0), P(12,8,0), P(8,8,0), tm1);
+  PMP::stitch_borders(tm1);
+  CGAL::make_quad(P(8,0,0), P(8,8,0), P(8,8,4), P(8,0,4), tm1);
+  CGAL::make_quad(P(8,0,0), P(8,8,0), P(8,8,-4), P(8,0,-4), tm1);
+  PMP::triangulate_faces(tm1);
+
+  Surface_mesh tm2;
+  CGAL::make_quad(P(6,1,0), P(14,3,0), P(13,7,4), P(5,5,0), tm2);
+  CGAL::make_quad(P(6,1,0), P(5,5,0), P(5,5,2), P(6,1,3), tm2);
+  PMP::stitch_borders(tm2);
+  PMP::triangulate_faces(tm2);
+
+  std::ofstream("t3_tm1.off") << tm1;
+  std::ofstream("t3_tm2.off") << tm2;
+
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
+
+  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1));
+
+  std::ofstream("t3_tm1_corefined.off") << tm1;
+  std::ofstream("t3_tm2_corefined.off") << tm2;
+}
+
+//TODO: add more tests nm-edge on vertex, nm-edge vs nm-edge, ...
+
+
+// coplanar face and non-manifold edge
+{
+  std::cout << "running corefinement test 4\n";
+  Surface_mesh tm1;
+  CGAL::make_quad(P(0,0,0), P(8,0,0), P(8,8,0), P(0,8,0), tm1);
+  CGAL::make_quad(P(8,0,0), P(12,0,0), P(12,8,0), P(8,8,0), tm1);
+  PMP::stitch_borders(tm1);
+  CGAL::make_quad(P(8,0,0), P(8,8,0), P(8,8,4), P(8,0,4), tm1);
+  CGAL::make_quad(P(8,0,0), P(8,8,0), P(8,8,-4), P(8,0,-4), tm1);
+  PMP::triangulate_faces(tm1);
+
+  Surface_mesh tm2;
+  CGAL::make_quad(P(6,1,0), P(14,3,0), P(13,7,0), P(5,5,0), tm2);
+  CGAL::make_quad(P(6,1,0), P(5,5,0), P(5,5,2), P(6,1,3), tm2);
+  PMP::stitch_borders(tm2);
+  PMP::triangulate_faces(tm2);
+
+  std::ofstream("t4_tm1.off") << tm1;
+  std::ofstream("t4_tm2.off") << tm2;
+
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
+
+  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1));
+
+  std::ofstream("t4_tm1_corefined.off") << tm1;
+  std::ofstream("t4_tm2_corefined.off") << tm2;
+}
+//
+// // coplanar face and non-manifold edge and regular intersection with incident face
+{
+  std::cout << "running corefinement test 5\n";
+  Surface_mesh tm1;
+  CGAL::make_quad(P(0,0,0), P(4,0,0), P(4,8,0), P(0,8,0), tm1);
+  CGAL::make_quad(P(4,0,0), P(12,0,0), P(12,8,0), P(4,8,0), tm1);
+  PMP::stitch_borders(tm1);
+  CGAL::make_quad(P(4,0,0), P(4,8,0), P(4,8,4), P(4,0,4), tm1);
+  CGAL::make_quad(P(4,0,0), P(4,8,0), P(4,8,-4), P(4,0,-4), tm1);
+  PMP::triangulate_faces(tm1);
+
+  Surface_mesh tm2;
+  CGAL::make_quad(P(2,1,0), P(14,3,0), P(13,7,0), P(5,5,0), tm2);
+  CGAL::make_quad(P(2,1,0), P(5,5,0), P(5,5,2), P(2,1,3), tm2);
+  PMP::stitch_borders(tm2);
+  PMP::triangulate_faces(tm2);
+
+  std::ofstream("t5_tm1.off") << tm1;
+  std::ofstream("t5_tm2.off") << tm2;
+
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
+
+  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1));
+
+  std::ofstream("t5_tm1_corefined.off") << tm1;
+  std::ofstream("t5_tm2_corefined.off") << tm2;
+}
+
+// coplanar face and 2 non-manifold edges
+{
+  std::cout << "running corefinement test 6\n";
+  Surface_mesh tm1;
+  CGAL::make_quad(P(0,0,0), P(8,0,0), P(8,8,0), P(0,8,0), tm1);
+  CGAL::make_quad(P(8,0,0), P(12,0,0), P(12,8,0), P(8,8,0), tm1);
+  PMP::stitch_borders(tm1);
+  CGAL::make_quad(P(8,0,0), P(8,8,0), P(8,8,4), P(8,0,4), tm1);
+  CGAL::make_quad(P(8,0,0), P(8,8,0), P(8,8,-4), P(8,0,-4), tm1);
+  PMP::triangulate_faces(tm1);
+
+  Surface_mesh tm2;
+  CGAL::make_quad(P(6,1,0), P(14,3,0), P(13,7,0), P(5,5,0), tm2);
+  CGAL::make_quad(P(6,1,0), P(5,5,0), P(5,5,2), P(6,1,3), tm2);
+  PMP::stitch_borders(tm2);
+  CGAL::make_quad(P(6,1,0), P(5,5,0), P(5,5,-2), P(6,1,-3), tm2);
+  CGAL::make_quad(P(6,1,0), P(5,5,0), P(3,5,0), P(3,1,0), tm2);
+  PMP::triangulate_faces(tm2);
+
+  std::ofstream("t6_tm1.off") << tm1;
+  std::ofstream("t6_tm2.off") << tm2;
+
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
+  PMP::Non_manifold_feature_map<Surface_mesh> nm_map_2(tm2, get(boost::vertex_point, tm2));
+
+  PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1),
+                          CGAL::parameters::non_manifold_feature_map(nm_map_2));
+
+  std::ofstream("t6_tm1_corefined.off") << tm1;
+  std::ofstream("t6_tm2_corefined.off") << tm2;
+}
+
+
 }

From 69dc2b4f84c51f4ea02333a237ee76f16c3aacf6 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 25 Jun 2019 11:08:35 +0200
Subject: [PATCH 013/317] WIP make key canonical despite non-manifold vertices

---
 .../internal/Corefinement/intersection_impl.h | 48 +++++++++++++++----
 1 file changed, 39 insertions(+), 9 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index cca786e6b75..4fe52765b36 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -350,18 +350,34 @@ class Intersection_of_triangle_meshes
   get_or_create_node(const Cpl_inter_pt& ipt,
                            Node_id& current_node,
                            std::map<Key,Node_id>& coplanar_node_map,
-                     const TriangleMesh& tm1,
-                     const TriangleMesh& tm2)
+                           const Non_manifold_feature_map<TriangleMesh>& nm_features_map_1,
+                           const Non_manifold_feature_map<TriangleMesh>& nm_features_map_2,
+                           const TriangleMesh& tm1,
+                           const TriangleMesh& tm2)
   {
     halfedge_descriptor h1=graph_traits::null_halfedge(),h2=h1;
     switch(ipt.type_1){
       case ON_VERTEX:
-        h1=halfedge(target(ipt.info_1,tm1),tm1);
+      {
+        std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
+                         ? std::size_t(-1)
+                         : get(nm_features_map_1.v_nm_id, target(ipt.info_1,tm1));
+        if (vid1==std::size_t(-1))
+          h1=halfedge(target(ipt.info_1,tm1),tm1);
+        else
+          h1=halfedge(nm_features_map_1.non_manifold_vertices[vid1][0],tm1);
+      }
       break;
       case ON_EDGE  :
       {
-        h1=opposite(ipt.info_1,tm1);
-        if (h1>ipt.info_1) h1=ipt.info_1;
+        std::size_t eid1 = nm_features_map_1.non_manifold_edges.empty()
+                         ? std::size_t(-1)
+                         : get(nm_features_map_1.e_nm_id, edge(ipt.info_1,tm1));
+        if (eid1==std::size_t(-1))
+          h1=ipt.info_1;
+        else
+          h1=halfedge(nm_features_map_1.non_manifold_edges[eid1][0],tm1);
+        h1=(std::max)(h1, opposite(h1, tm1));
       }
       break;
       case ON_FACE :
@@ -371,12 +387,26 @@ class Intersection_of_triangle_meshes
     }
     switch(ipt.type_2){
       case ON_VERTEX:
-        h2=halfedge(target(ipt.info_2,tm2),tm2);
+      {
+        std::size_t vid2 = nm_features_map_2.non_manifold_vertices.empty()
+                         ? std::size_t(-1)
+                         : get(nm_features_map_2.v_nm_id, target(ipt.info_2,tm2));
+        if (vid2==std::size_t(-1))
+          h2=halfedge(target(ipt.info_2,tm2),tm2);
+        else
+          h2=halfedge(nm_features_map_2.non_manifold_vertices[vid2][0],tm2);
+      }
       break;
       case ON_EDGE  :
       {
-        h2=opposite(ipt.info_2,tm2);
-        if (h2>ipt.info_2) h2=ipt.info_2;
+        std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
+                         ? std::size_t(-1)
+                         : get(nm_features_map_2.e_nm_id, edge(ipt.info_2,tm2));
+        if (eid2==std::size_t(-1))
+          h2=ipt.info_2;
+        else
+          h2=halfedge(nm_features_map_2.non_manifold_edges[eid2][0],tm2);
+        h2=(std::max)(h2, opposite(h2, tm2));
       }
       break;
       case ON_FACE :
@@ -664,7 +694,7 @@ class Intersection_of_triangle_meshes
         Node_id node_id;
         bool is_new_node;
         std::tie(node_id, is_new_node) =
-            get_or_create_node(ipt,current_node,coplanar_node_map,tm1,tm2);
+            get_or_create_node(ipt,current_node,coplanar_node_map,nm_features_map_1,nm_features_map_2,tm1,tm2);
         cpln_nodes.push_back(node_id);
 
         switch(ipt.type_1){

From e6b2dd8311aec7e17f2456dfa6a447531f49999b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 25 Jun 2019 15:09:09 +0200
Subject: [PATCH 014/317] check no duplicated nodes are created

---
 .../internal/Corefinement/intersection_impl.h    |  2 ++
 .../internal/Corefinement/intersection_nodes.h   | 16 +++++++++++++++-
 2 files changed, 17 insertions(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 4fe52765b36..e38247ede8a 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -1542,6 +1542,8 @@ public:
     compute_intersection_points(tm1_edge_to_tm2_faces, tm1, tm2, vpm1, vpm2, non_manifold_feature_map_1, non_manifold_feature_map_2, current_node);
     compute_intersection_points(tm2_edge_to_tm1_faces, tm2, tm1, vpm2, vpm1, non_manifold_feature_map_2, non_manifold_feature_map_1, current_node);
 
+    nodes.check_no_duplicates();
+
     if (!build_polylines){
       visitor.finalize(nodes,tm1,tm2,vpm1,vpm2);
       return output;
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h
index 49162e70a44..3133d27d166 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h
@@ -136,6 +136,11 @@ public:
   void all_nodes_created(){}
   void finalize() {}
 
+  void check_no_duplicates()
+  {
+    CGAL_assertion(nodes.size() == std::set<Point_3>(nodes.begin(), nodes.end()).size());
+  }
+
 }; // end specialization
      // Intersection_nodes<Polyhedron,Kernel,No_predicates_on_constructions,false>
 
@@ -310,6 +315,12 @@ public:
         put(vpm2, tm2_vertices[i], pt);
     }
   }
+
+  void check_no_duplicates()
+  {
+    CGAL_assertion(enodes.size() == std::set<typename Exact_kernel::Point_3>(enodes.begin(), enodes.end()).size());
+  }
+
 }; // end specialization
      // Intersection_nodes<Polyhedron,Kernel,Predicates_on_constructions,false>
 
@@ -424,7 +435,10 @@ public:
   void all_nodes_created(){}
   void finalize() {}
 
-
+  void check_no_duplicates()
+  {
+    CGAL_assertion(nodes.size() == std::set<Point_3>(nodes.begin(), nodes.end()).size());
+  }
 }; // end specialization
 
 

From b2741af483dae12480c81c98c96db23178f12716 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 25 Jun 2019 15:09:35 +0200
Subject: [PATCH 015/317] update test

---
 .../corefine_non_manifold.cpp                   | 17 ++++++++++++++++-
 1 file changed, 16 insertions(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
index 7a82c4ea898..c3235d9f5f5 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
@@ -17,7 +17,6 @@ namespace PMP = CGAL::Polygon_mesh_processing;
 
 int main()
 {
-
 // polyline intersection with a non-manifold edge
 {
   std::cout << "running polyline test\n";
@@ -206,11 +205,27 @@ int main()
   PMP::Non_manifold_feature_map<Surface_mesh> nm_map_1(tm1, get(boost::vertex_point, tm1));
   PMP::Non_manifold_feature_map<Surface_mesh> nm_map_2(tm2, get(boost::vertex_point, tm2));
 
+#if 0
+  std::vector< std::vector<P> > polylines;
+  PMP::surface_intersection(tm1, tm2, std::back_inserter(polylines),
+                                      CGAL::parameters::non_manifold_feature_map(nm_map_1),
+                                      CGAL::parameters::non_manifold_feature_map(nm_map_2));
+
+  //dump polylines
+  std::ofstream output("intersection_polylines.cgal");
+  for(const std::vector<P>& polyline : polylines)
+  {
+    output << polyline.size() << " ";
+    std::copy(polyline.begin(), polyline.end(),std::ostream_iterator<P>(output," "));
+    output << "\n";
+  }
+#else
   PMP::corefine(tm1, tm2, CGAL::parameters::non_manifold_feature_map(nm_map_1),
                           CGAL::parameters::non_manifold_feature_map(nm_map_2));
 
   std::ofstream("t6_tm1_corefined.off") << tm1;
   std::ofstream("t6_tm2_corefined.off") << tm2;
+#endif
 }
 
 

From 0818afb480058a06fadf8e211633405215f7de6e Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 25 Jun 2019 15:09:46 +0200
Subject: [PATCH 016/317] fix the lookup for edge in non-manifold case

---
 .../Polygon_mesh_processing/internal/Corefinement/Visitor.h     | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 7f324dfd9f4..78de7ccac9a 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -731,7 +731,7 @@ public:
                       target(it_node_2_hedge_two->second,tm) )
               {
                 hedge=opposite(next(hedge,tm),tm);
-                if (tm1_ptr==tm2_ptr && hedge==start)
+                if ((doing_autorefinement || handle_non_manifold_features) && hedge==start)
                 {
                   ++it_node_2_hedge_two; // we are using a multimap and
                                          // the halfedge we are looking for

From 7fc66aeec4d4ada8cba64aebbb2984749ec95117 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 26 Jun 2019 11:57:22 +0200
Subject: [PATCH 017/317] readd call removed by error

---
 .../Polygon_mesh_processing/internal/Corefinement/Visitor.h     | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 78de7ccac9a..60546820f66 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -1108,6 +1108,8 @@ public:
       }
     }
 
+    nodes.finalize();
+
     // additional operations
     output_builder(nodes,
                    input_with_coplanar_faces,

From c839ed5c5f55daf1493bba238099a81962e7578c Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 26 Jun 2019 13:39:38 +0200
Subject: [PATCH 018/317] use variable instead of explicitly constructed value

---
 .../Corefinement/Face_graph_output_builder.h  | 18 +++---
 .../internal/Corefinement/Visitor.h           |  6 +-
 .../internal/Corefinement/intersection_impl.h | 63 ++++++++++---------
 3 files changed, 46 insertions(+), 41 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
index ed08eaef152..ad0cdaa880b 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
@@ -850,7 +850,7 @@ public:
                    vpm1, vpm2,
                    nodes) ) //p1==q2
             {
-              CGAL_assertion( index_p1!=index_p2 || index_p1==Node_id((std::numeric_limits<Node_id>::max)()) );
+              CGAL_assertion( index_p1!=index_p2 || index_p1==NID );
               coplanar_patches_of_tm1.set(patch_id_p1);
               coplanar_patches_of_tm2.set(patch_id_q2);
               bool q1_is_between_p1p2 = sorted_around_edge(
@@ -920,17 +920,17 @@ public:
 #endif //CGAL_COREFINEMENT_POLYHEDRA_DEBUG
 
           CGAL_assertion(
-              ( index_p1 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm1,p1)): nodes.exact_node(index_p1) ) !=
-              ( index_q1 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm2,q1)): nodes.exact_node(index_q1) )
+              ( index_p1 == NID ? nodes.to_exact(get(vpm1,p1)): nodes.exact_node(index_p1) ) !=
+              ( index_q1 == NID ? nodes.to_exact(get(vpm2,q1)): nodes.exact_node(index_q1) )
           &&
-              ( index_p2 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm1,p2)): nodes.exact_node(index_p2) ) !=
-              ( index_q1 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm2,q1)): nodes.exact_node(index_q1) )
+              ( index_p2 == NID ? nodes.to_exact(get(vpm1,p2)): nodes.exact_node(index_p2) ) !=
+              ( index_q1 == NID ? nodes.to_exact(get(vpm2,q1)): nodes.exact_node(index_q1) )
           &&
-              ( index_p1 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm1,p1)): nodes.exact_node(index_p1) ) !=
-              ( index_q2 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm2,q2)): nodes.exact_node(index_q2) )
+              ( index_p1 == NID ? nodes.to_exact(get(vpm1,p1)): nodes.exact_node(index_p1) ) !=
+              ( index_q2 == NID ? nodes.to_exact(get(vpm2,q2)): nodes.exact_node(index_q2) )
           &&
-              ( index_p2 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm1,p2)): nodes.exact_node(index_p2) ) !=
-              ( index_q2 == Node_id((std::numeric_limits<Node_id>::max)()) ? nodes.to_exact(get(vpm2,q2)): nodes.exact_node(index_q2) )
+              ( index_p2 == NID ? nodes.to_exact(get(vpm1,p2)): nodes.exact_node(index_p2) ) !=
+              ( index_q2 == NID ? nodes.to_exact(get(vpm2,q2)): nodes.exact_node(index_q2) )
           );
 
           bool q1_is_between_p1p2 = sorted_around_edge(
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 60546820f66..3b37d5e9b64 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -232,6 +232,8 @@ public:
 
   void copy_nodes_ids_for_non_manifold_features()
   {
+    static const constexpr std::size_t NM_NID((std::numeric_limits<std::size_t>::max)());
+
     for(const std::pair<const TriangleMesh*, const NM_features_map*>& tm_and_nm :
         non_manifold_feature_maps)
     {
@@ -242,7 +244,7 @@ public:
       for (const std::pair<const edge_descriptor, Node_ids>& ed_and_ids : on_edge_map)
       {
         std::size_t eid = get(tm_and_nm.second->e_nm_id, ed_and_ids.first);
-        if (eid!=std::size_t(-1))
+        if (eid!=NM_NID)
           edges_to_copy.push_back(std::make_pair(eid,&(ed_and_ids.second)));
       }
       for(const std::pair<const std::size_t, const Node_ids*>& id_and_nodes : edges_to_copy)
@@ -264,7 +266,7 @@ public:
           : vertex_to_node_id)
       {
         std::size_t vid = get(tm_and_nm.second->v_nm_id, vd_and_id.first);
-        if (vid!=std::size_t(-1))
+        if (vid!=NM_NID)
           vertices_to_add.push_back(std::make_pair(vd_and_id.first,vd_and_id.second));
         for(const std::pair<vertex_descriptor, Node_id>& vd_and_nid : vertices_to_add)
         {
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index e38247ede8a..2ff43bccdc3 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -202,6 +202,7 @@ class Intersection_of_triangle_meshes
   std::vector<Node_id> extra_terminal_nodes; //used only for autorefinement
   Non_manifold_feature_map<TriangleMesh> non_manifold_feature_map_1,
                                          non_manifold_feature_map_2;
+  std::size_t NM_NID;
   CGAL_assertion_code(bool doing_autorefinement;)
 
 // member functions
@@ -248,7 +249,7 @@ class Intersection_of_triangle_meshes
           std::size_t eid=get(non_manifold_feature_map.e_nm_id, ed);
           halfedge_descriptor h=halfedge(ed,tm_e);
           // insert only one copy of a non-manifold edge
-          if (eid!=std::size_t(-1))
+          if (eid!=NM_NID)
           {
             if (non_manifold_feature_map.non_manifold_edges[eid].front()!=ed)
               continue;
@@ -360,9 +361,9 @@ class Intersection_of_triangle_meshes
       case ON_VERTEX:
       {
         std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
-                         ? std::size_t(-1)
+                         ? NM_NID
                          : get(nm_features_map_1.v_nm_id, target(ipt.info_1,tm1));
-        if (vid1==std::size_t(-1))
+        if (vid1==NM_NID)
           h1=halfedge(target(ipt.info_1,tm1),tm1);
         else
           h1=halfedge(nm_features_map_1.non_manifold_vertices[vid1][0],tm1);
@@ -371,9 +372,9 @@ class Intersection_of_triangle_meshes
       case ON_EDGE  :
       {
         std::size_t eid1 = nm_features_map_1.non_manifold_edges.empty()
-                         ? std::size_t(-1)
+                         ? NM_NID
                          : get(nm_features_map_1.e_nm_id, edge(ipt.info_1,tm1));
-        if (eid1==std::size_t(-1))
+        if (eid1==NM_NID)
           h1=ipt.info_1;
         else
           h1=halfedge(nm_features_map_1.non_manifold_edges[eid1][0],tm1);
@@ -389,9 +390,9 @@ class Intersection_of_triangle_meshes
       case ON_VERTEX:
       {
         std::size_t vid2 = nm_features_map_2.non_manifold_vertices.empty()
-                         ? std::size_t(-1)
+                         ? NM_NID
                          : get(nm_features_map_2.v_nm_id, target(ipt.info_2,tm2));
-        if (vid2==std::size_t(-1))
+        if (vid2==NM_NID)
           h2=halfedge(target(ipt.info_2,tm2),tm2);
         else
           h2=halfedge(nm_features_map_2.non_manifold_vertices[vid2][0],tm2);
@@ -400,9 +401,9 @@ class Intersection_of_triangle_meshes
       case ON_EDGE  :
       {
         std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
-                         ? std::size_t(-1)
+                         ? NM_NID
                          : get(nm_features_map_2.e_nm_id, edge(ipt.info_2,tm2));
-        if (eid2==std::size_t(-1))
+        if (eid2==NM_NID)
           h2=ipt.info_2;
         else
           h2=halfedge(nm_features_map_2.non_manifold_edges[eid2][0],tm2);
@@ -545,10 +546,10 @@ class Intersection_of_triangle_meshes
     std::vector<vertex_descriptor> tmp_vertices_1(1, target(v_1, tm1));
 
     std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
-      ? std::size_t(-1)
+      ? NM_NID
       : get(nm_features_map_1.v_nm_id, target(v_1, tm1));
 
-    const std::vector<vertex_descriptor>& vertices_1 = vid1==std::size_t(-1)
+    const std::vector<vertex_descriptor>& vertices_1 = vid1==NM_NID
                                                      ? tmp_vertices_1
                                                      : nm_features_map_1.non_manifold_vertices[vid1];
     for(vertex_descriptor v1 : vertices_1)
@@ -580,20 +581,20 @@ class Intersection_of_triangle_meshes
     std::vector<vertex_descriptor> tmp_vertices_1(1, target(v_1, tm1));
 
     std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
-                     ? std::size_t(-1)
+                     ? NM_NID
                      : get(nm_features_map_1.v_nm_id, target(v_1, tm1));
 
-    const std::vector<vertex_descriptor>& vertices_1 = vid1==std::size_t(-1)
+    const std::vector<vertex_descriptor>& vertices_1 = vid1==NM_NID
                                                       ? tmp_vertices_1
                                                       : nm_features_map_1.non_manifold_vertices[vid1];
 
     std::vector<edge_descriptor> tmp_edges_2(1, edge(h_2, tm2));
 
     std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
-                     ? std::size_t(-1)
+                     ? NM_NID
                      : get(nm_features_map_2.e_nm_id, edge(h_2, tm2));
 
-    const std::vector<edge_descriptor>& edges_2 = eid2==std::size_t(-1)
+    const std::vector<edge_descriptor>& edges_2 = eid2==NM_NID
                                                 ? tmp_edges_2
                                                 : nm_features_map_2.non_manifold_edges[eid2];
 
@@ -628,17 +629,17 @@ class Intersection_of_triangle_meshes
                                    tmp_vertices_2(1, target(v_2, tm2));
 
     std::size_t vid1 = nm_features_map_1.non_manifold_vertices.empty()
-                     ? std::size_t(-1)
+                     ? NM_NID
                      : get(nm_features_map_1.v_nm_id, target(v_1, tm1));
 
     std::size_t vid2 = nm_features_map_2.non_manifold_vertices.empty()
-                     ? std::size_t(-1)
+                     ? NM_NID
                      : get(nm_features_map_2.v_nm_id, target(v_2, tm2));
 
-    const std::vector<vertex_descriptor>& vertices_1 = vid1==std::size_t(-1)
+    const std::vector<vertex_descriptor>& vertices_1 = vid1==NM_NID
                                                      ? tmp_vertices_1
                                                      : nm_features_map_1.non_manifold_vertices[vid1];
-    const std::vector<vertex_descriptor>& vertices_2 = vid2==std::size_t(-1)
+    const std::vector<vertex_descriptor>& vertices_2 = vid2==NM_NID
                                                      ? tmp_vertices_2
                                                      : nm_features_map_2.non_manifold_vertices[vid2];
 
@@ -727,15 +728,15 @@ class Intersection_of_triangle_meshes
               std::vector<edge_descriptor> tmp_edges_1(1, edge(ipt.info_1,tm1)),
                                            tmp_edges_2(1, edge(ipt.info_2,tm2));
               std::size_t eid1 = nm_features_map_1.non_manifold_edges.empty()
-                 ? std::size_t(-1)
+                 ? NM_NID
                  : get(nm_features_map_1.e_nm_id, edge(ipt.info_1, tm1));
               std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
-                 ? std::size_t(-1)
+                 ? NM_NID
                  : get(nm_features_map_2.e_nm_id, edge(ipt.info_2, tm2));
-              const std::vector<edge_descriptor>& edges_1 = eid1==std::size_t(-1)
+              const std::vector<edge_descriptor>& edges_1 = eid1==NM_NID
                                                           ? tmp_edges_1
                                                           : nm_features_map_1.non_manifold_edges[eid1];
-              const std::vector<edge_descriptor>& edges_2 = eid2==std::size_t(-1)
+              const std::vector<edge_descriptor>& edges_2 = eid2==NM_NID
                                                           ? tmp_edges_2
                                                           : nm_features_map_2.non_manifold_edges[eid2];
               for(edge_descriptor e1 : edges_1)
@@ -853,7 +854,7 @@ class Intersection_of_triangle_meshes
             halfedge_descriptor h1 = all_edges[ie];
             edge_descriptor e1 = edge(h1, tm1);
             std::size_t eid1 = get(nm_features_map_1.e_nm_id, e1);
-            if (eid1 != std::size_t(-1))
+            if (eid1 != NM_NID)
             {
               for (std::size_t k=0;
                                k<nm_features_map_1.non_manifold_edges[eid1].size();
@@ -921,14 +922,14 @@ class Intersection_of_triangle_meshes
             visitor.new_node_added(node_id,ON_EDGE,h_1,h_2,tm1,tm2,std::get<3>(res),std::get<2>(res));
 
             std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
-                             ? std::size_t(-1)
+                             ? NM_NID
                              : get(nm_features_map_2.e_nm_id, edge(h_2, tm2));
 
             for (;it_edge!=all_edges.end();++it_edge){
               if ( it_edge!=all_edges.begin() ){
                 typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(*it_edge,tm1));
                 Face_set* fset_bis = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
-                if( eid2 == std::size_t(-1) )
+                if( eid2 == NM_NID )
                   cip_handle_case_edge(node_id,fset_bis,*it_edge,h_2,tm1,tm2);
                 else
                 {
@@ -938,7 +939,7 @@ class Intersection_of_triangle_meshes
               }
               else
               {
-                if( eid2 == std::size_t(-1) )
+                if( eid2 == NM_NID )
                   cip_handle_case_edge(node_id,&fset,*it_edge,h_2,tm1,tm2);
                 else
                   for (edge_descriptor e2 : nm_features_map_2.non_manifold_edges[eid2])
@@ -957,21 +958,21 @@ class Intersection_of_triangle_meshes
             visitor.new_node_added(node_id,ON_VERTEX,h_1,h_2,tm1,tm2,std::get<3>(res),std::get<2>(res));
 
             std::size_t vid2 = nm_features_map_2.non_manifold_vertices.empty()
-                             ? std::size_t(-1)
+                             ? NM_NID
                              : get(nm_features_map_2.v_nm_id, target(h_2, tm2));
 
             for (;it_edge!=all_edges.end();++it_edge){
               if ( it_edge!=all_edges.begin() ){
                 typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(*it_edge,tm1));
                 Face_set* fset_bis = (it_ets!=tm1_edge_to_tm2_faces.end())?&(it_ets->second):nullptr;
-                if( vid2 == std::size_t(-1) )
+                if( vid2 == NM_NID )
                   cip_handle_case_vertex(node_id,fset_bis,*it_edge,h_2,tm1,tm2);
                 else
                   for (vertex_descriptor vd2 : nm_features_map_2.non_manifold_vertices[vid2])
                     cip_handle_case_vertex(node_id,fset_bis,*it_edge,halfedge(vd2, tm2),tm1,tm2);
               }
               else
-                if( vid2 == std::size_t(-1) )
+                if( vid2 == NM_NID )
                   cip_handle_case_vertex(node_id,&fset,*it_edge,h_2,tm1,tm2);
                 else
                   for (vertex_descriptor vd2 : nm_features_map_2.non_manifold_vertices[vid2])
@@ -1473,6 +1474,7 @@ public:
                                   const Node_visitor& v=Node_visitor())
   : nodes(tm1, tm2, vpm1, vpm2)
   , visitor(v)
+  , NM_NID((std::numeric_limits<std::size_t>::max)())
   {
     CGAL_assertion_code( doing_autorefinement=false; )
   }
@@ -1483,6 +1485,7 @@ public:
                                   const Node_visitor& v=Node_visitor())
   : nodes(tm, tm, vpm, vpm)
   , visitor(v)
+  , NM_NID((std::numeric_limits<std::size_t>::max)())
   {
     CGAL_assertion_code( doing_autorefinement=true; )
   }

From b1bbcfa81aa093a3d2fd042b74a95ba7d69ddc95 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 18 Jul 2019 11:48:25 +0200
Subject: [PATCH 019/317] add missing reference

---
 .../Polygon_mesh_processing/internal/Corefinement/Visitor.h     | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 3b37d5e9b64..204da77ce50 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -259,7 +259,7 @@ public:
 
       // update map vertex -> node_id
       Vertex_to_node_id& vertex_to_node_id = mesh_to_vertex_to_node_id[tm_ptr];
-      Node_to_target_of_hedge_map vertices_on_inter = mesh_to_vertices_on_inter[tm_ptr];
+      Node_to_target_of_hedge_map& vertices_on_inter = mesh_to_vertices_on_inter[tm_ptr];
 
       std::vector< std::pair<vertex_descriptor, Node_id> > vertices_to_add;
       for (const typename std::pair<const vertex_descriptor, Node_id>& vd_and_id

From 6e061f2afe861187b9f246935b56e97d0a461ca1 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 23 Sep 2019 17:35:32 +0200
Subject: [PATCH 020/317] fix indentation and use constexpr

---
 .../internal/Corefinement/intersection_impl.h | 42 +++++++++----------
 1 file changed, 20 insertions(+), 22 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 2ff43bccdc3..8088e219f51 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -202,7 +202,7 @@ class Intersection_of_triangle_meshes
   std::vector<Node_id> extra_terminal_nodes; //used only for autorefinement
   Non_manifold_feature_map<TriangleMesh> non_manifold_feature_map_1,
                                          non_manifold_feature_map_2;
-  std::size_t NM_NID;
+  static const constexpr std::size_t NM_NID = (std::numeric_limits<std::size_t>::max)();
   CGAL_assertion_code(bool doing_autorefinement;)
 
 // member functions
@@ -242,27 +242,27 @@ class Intersection_of_triangle_meshes
           h ) );
         edge_boxes_ptr.push_back( &edge_boxes.back() );
       }
-      else
-        // non-manifold case
-        for(edge_descriptor ed : edges(tm_e))
+    else
+      // non-manifold case
+      for(edge_descriptor ed : edges(tm_e))
+      {
+        std::size_t eid=get(non_manifold_feature_map.e_nm_id, ed);
+        halfedge_descriptor h=halfedge(ed,tm_e);
+        // insert only one copy of a non-manifold edge
+        if (eid!=NM_NID)
         {
-          std::size_t eid=get(non_manifold_feature_map.e_nm_id, ed);
-          halfedge_descriptor h=halfedge(ed,tm_e);
-          // insert only one copy of a non-manifold edge
-          if (eid!=NM_NID)
-          {
-            if (non_manifold_feature_map.non_manifold_edges[eid].front()!=ed)
-              continue;
-            else
-              // make sure the halfedge used is consistant with stored one
-              h = halfedge(non_manifold_feature_map.non_manifold_edges[eid].front(), tm_e);
-          }
-          edge_boxes.push_back( Box(
-            get(vpm_e,source(h,tm_e)).bbox() +
-            get(vpm_e,target(h,tm_e)).bbox(),
-            h ) );
-          edge_boxes_ptr.push_back( &edge_boxes.back() );
+          if (non_manifold_feature_map.non_manifold_edges[eid].front()!=ed)
+            continue;
+          else
+            // make sure the halfedge used is consistant with stored one
+            h = halfedge(non_manifold_feature_map.non_manifold_edges[eid].front(), tm_e);
         }
+        edge_boxes.push_back( Box(
+          get(vpm_e,source(h,tm_e)).bbox() +
+          get(vpm_e,target(h,tm_e)).bbox(),
+          h ) );
+        edge_boxes_ptr.push_back( &edge_boxes.back() );
+      }
 
     /// \todo experiments different cutoff values
     std::ptrdiff_t cutoff = 2 * std::ptrdiff_t(
@@ -1474,7 +1474,6 @@ public:
                                   const Node_visitor& v=Node_visitor())
   : nodes(tm1, tm2, vpm1, vpm2)
   , visitor(v)
-  , NM_NID((std::numeric_limits<std::size_t>::max)())
   {
     CGAL_assertion_code( doing_autorefinement=false; )
   }
@@ -1485,7 +1484,6 @@ public:
                                   const Node_visitor& v=Node_visitor())
   : nodes(tm, tm, vpm, vpm)
   , visitor(v)
-  , NM_NID((std::numeric_limits<std::size_t>::max)())
   {
     CGAL_assertion_code( doing_autorefinement=true; )
   }

From d3094f18e4514f4caf721c5d67fd2b8dc0d1d4b9 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 23 Sep 2019 17:36:38 +0200
Subject: [PATCH 021/317] make sure that an edge registered for split is the
 first one if non-manifold

otherwise some points might be added on different non-manifold edges
and this would require a merge of vertices on edges
---
 .../internal/Corefinement/Visitor.h           | 22 +++++++++++++++++++
 1 file changed, 22 insertions(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 204da77ce50..0138a3feedb 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -468,6 +468,28 @@ public:
       }
       else{
         //handle intersection on principal edge
+        typename std::map<const TriangleMesh*, const NM_features_map*>::iterator it_find =
+          non_manifold_feature_maps.find(&tm1);
+        if ( it_find != non_manifold_feature_maps.end() )
+        {
+          // update h_1 if it is not the canonical non-manifold edge
+          // This is important to make sure intersection points on non-manifold
+          // edges are all connected for the same edge so that the redistribution
+          // on other edges does not overwrite some nodes.
+          // This update might be required in case of EDGE-EDGE intersection or
+          // COPLANAR intersection.
+          const NM_features_map& nm_features_map_1 = *it_find->second;
+          std::size_t eid1 = nm_features_map_1.non_manifold_edges.empty()
+                           ? std::size_t(-1)
+                           : get(nm_features_map_1.e_nm_id, edge(h_1, tm1));
+
+          if (eid1 != std::size_t(-1))
+          {
+            if ( edge(h_1, tm1) != nm_features_map_1.non_manifold_edges[eid1].front() )
+              h_1 = halfedge(nm_features_map_1.non_manifold_edges[eid1].front(), tm1);
+          }
+        }
+
         on_edge[tm1_ptr][edge(h_1,tm1)].push_back(node_id);
       //   check_node_on_non_manifold_edge(node_id,h_1,tm1);
       }

From afcf0775fb2e63109a734a7b90676afd5ec9db42 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 21 Nov 2019 13:15:43 +0100
Subject: [PATCH 022/317] use the non-manifoldness of the vertex to collect
 incident edges

we might be missing some edges that are incident to the non-manifold vertex
Also include a fix to get the canonical non-manifold edge
---
 .../internal/Corefinement/intersection_impl.h | 99 ++++++++++++++-----
 1 file changed, 76 insertions(+), 23 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 8088e219f51..88b4d322e0b 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -821,8 +821,6 @@ class Intersection_of_triangle_meshes
     {
       edge_descriptor e_1=it->first;
 
-
-
       halfedge_descriptor h_1=halfedge(e_1,tm1);
       Face_set& fset=it->second;
       while (!fset.empty()){
@@ -834,37 +832,89 @@ class Intersection_of_triangle_meshes
     //handle degenerate case: one extremity of edge belong to f_2
         std::vector<halfedge_descriptor> all_edges;
         if ( std::get<3>(res) ) // is edge target in triangle plane
-          std::copy(halfedges_around_target(h_1,tm1).first,
-                    halfedges_around_target(h_1,tm1).second,
-                    std::back_inserter(all_edges));
+        {
+          if (!nm_features_map_1.non_manifold_edges.empty())
+          {
+            std::size_t vid1 = get(nm_features_map_1.v_nm_id, target(h_1, tm1));
+            if (vid1 != NM_NID)
+            {
+              for (vertex_descriptor vd : nm_features_map_1.non_manifold_vertices[vid1])
+              {
+                std::copy(halfedges_around_target(vd,tm1).first,
+                          halfedges_around_target(vd,tm1).second,
+                          std::back_inserter(all_edges));
+              }
+              if (all_edges.front()!=h_1)
+              {
+                // restore expected property
+                typename std::vector<halfedge_descriptor>::iterator pos =
+                  std::find(all_edges.begin(), all_edges.end(), h_1);
+                CGAL_assertion(pos!=all_edges.end());
+                std::swap(*pos, all_edges.front());
+              }
+            }
+            else
+              std::copy(halfedges_around_target(h_1,tm1).first,
+                        halfedges_around_target(h_1,tm1).second,
+                        std::back_inserter(all_edges));
+          }
+          else
+            std::copy(halfedges_around_target(h_1,tm1).first,
+                      halfedges_around_target(h_1,tm1).second,
+                      std::back_inserter(all_edges));
+        }
         else{
           if ( std::get<2>(res) ) // is edge source in triangle plane
+          {
+            if (!nm_features_map_1.non_manifold_edges.empty())
+            {
+              std::size_t vid1 = get(nm_features_map_1.v_nm_id, source(h_1, tm1));
+              if (vid1 != NM_NID)
+              {
+                for (vertex_descriptor vd : nm_features_map_1.non_manifold_vertices[vid1])
+                {
+                  std::copy(halfedges_around_source(vd,tm1).first,
+                            halfedges_around_source(vd,tm1).second,
+                            std::back_inserter(all_edges));
+                }
+                if (all_edges.front()!=h_1)
+                {
+                  // restore expected property
+                  typename std::vector<halfedge_descriptor>::iterator pos =
+                    std::find(all_edges.begin(), all_edges.end(), h_1);
+                  CGAL_assertion(pos!=all_edges.end());
+                  std::swap(*pos, all_edges.front());
+                }
+              }
+              else
+                std::copy(halfedges_around_source(h_1,tm1).first,
+                          halfedges_around_source(h_1,tm1).second,
+                          std::back_inserter(all_edges));
+            }
+            else
               std::copy(halfedges_around_source(h_1,tm1).first,
                         halfedges_around_source(h_1,tm1).second,
                         std::back_inserter(all_edges));
+          }
           else
-            all_edges.push_back(h_1);
-        }
-
-        if (!nm_features_map_1.non_manifold_edges.empty())
-        {
-          std::size_t nb_edges = all_edges.size();
-          for (std::size_t ie=0; ie<nb_edges; ++ie)
           {
-            halfedge_descriptor h1 = all_edges[ie];
-            edge_descriptor e1 = edge(h1, tm1);
-            std::size_t eid1 = get(nm_features_map_1.e_nm_id, e1);
-            if (eid1 != NM_NID)
+            all_edges.push_back(h_1);
+            edge_descriptor e_1 = edge(h_1, tm1);
+            if (!nm_features_map_1.non_manifold_edges.empty())
             {
-              for (std::size_t k=0;
-                               k<nm_features_map_1.non_manifold_edges[eid1].size();
-                               ++k)
+              std::size_t eid1 = get(nm_features_map_1.e_nm_id, e_1);
+              if (eid1 != NM_NID)
               {
-                edge_descriptor e1b = nm_features_map_1.non_manifold_edges[eid1][k];
-                if (e1b!=e1)
+                CGAL_assertion( nm_features_map_1.non_manifold_edges[eid1][0]==e_1 );
+                for (std::size_t k=1;
+                                 k<nm_features_map_1.non_manifold_edges[eid1].size();
+                                 ++k)
+                {
+                  edge_descriptor e_1b = nm_features_map_1.non_manifold_edges[eid1][k];
                   // note that the orientation of the halfedge pushed back is
                   // not relevant for how it is used in the following
-                  all_edges.push_back(halfedge(e1b, tm1));
+                  all_edges.push_back(halfedge(e_1b, tm1));
+                }
               }
             }
           }
@@ -919,12 +969,15 @@ class Intersection_of_triangle_meshes
             Node_id node_id=++current_node;
             add_new_node(h_1,f_2,tm1,tm2,vpm1,vpm2,res);
             halfedge_descriptor h_2=std::get<1>(res);
-            visitor.new_node_added(node_id,ON_EDGE,h_1,h_2,tm1,tm2,std::get<3>(res),std::get<2>(res));
 
             std::size_t eid2 = nm_features_map_2.non_manifold_edges.empty()
                              ? NM_NID
                              : get(nm_features_map_2.e_nm_id, edge(h_2, tm2));
 
+            if (eid2!=NM_NID)
+              h_2 = halfedge(nm_features_map_2.non_manifold_edges[eid2].front(), tm2);
+
+            visitor.new_node_added(node_id,ON_EDGE,h_1,h_2,tm1,tm2,std::get<3>(res),std::get<2>(res));
             for (;it_edge!=all_edges.end();++it_edge){
               if ( it_edge!=all_edges.begin() ){
                 typename Edge_to_faces::iterator it_ets=tm1_edge_to_tm2_faces.find(edge(*it_edge,tm1));

From 820621b7b750d796835a5eb3aa6ef03eb714d4c8 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 25 Nov 2019 10:56:51 +0100
Subject: [PATCH 023/317] make sure that an edge registered for split is the
 first one if non-manifold

(coplanar case)
---
 .../internal/Corefinement/intersection_impl.h                 | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
index 88b4d322e0b..3429d809af3 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_impl.h
@@ -723,8 +723,6 @@ class Intersection_of_triangle_meshes
             break;
             case ON_EDGE:
             {
-              if(is_new_node)
-                visitor.new_node_added(node_id,ON_EDGE,ipt.info_1,ipt.info_2,tm1,tm2,false,false);
               std::vector<edge_descriptor> tmp_edges_1(1, edge(ipt.info_1,tm1)),
                                            tmp_edges_2(1, edge(ipt.info_2,tm2));
               std::size_t eid1 = nm_features_map_1.non_manifold_edges.empty()
@@ -739,6 +737,8 @@ class Intersection_of_triangle_meshes
               const std::vector<edge_descriptor>& edges_2 = eid2==NM_NID
                                                           ? tmp_edges_2
                                                           : nm_features_map_2.non_manifold_edges[eid2];
+              if(is_new_node)
+                visitor.new_node_added(node_id,ON_EDGE,halfedge(edges_1.front(), tm1),halfedge(edges_2.front(),tm2),tm1,tm2,false,false);
               for(edge_descriptor e1 : edges_1)
                 for(edge_descriptor e2 : edges_2)
                 {

From 6fd649e5c614ca2cc08e91039c015f4865ef9a47 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 12 Dec 2019 11:52:53 +0100
Subject: [PATCH 024/317] avoid using 2 extra vectors already available in the
 main part

---
 .../internal/Corefinement/Visitor.h           |  4 +-
 .../Corefinement/intersection_nodes.h         | 56 ++++++++++---------
 2 files changed, 32 insertions(+), 28 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 0138a3feedb..19083a2df6f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -143,7 +143,7 @@ private:
    typedef boost::unordered_map<edge_descriptor,Node_ids>           On_edge_map;
    //to keep the correspondance between node_id and vertex_handle in each mesh
    typedef std::vector<vertex_descriptor>                     Node_id_to_vertex;
-   typedef std::map<TriangleMesh*, Node_id_to_vertex >         Mesh_to_map_node;
+   typedef std::map<const TriangleMesh*, Node_id_to_vertex >         Mesh_to_map_node;
    //to handle coplanar halfedge of polyhedra that are full in the intersection
    typedef std::multimap<Node_id,halfedge_descriptor>    Node_to_target_of_hedge_map;
    typedef std::map<TriangleMesh*,Node_to_target_of_hedge_map>
@@ -1132,7 +1132,7 @@ public:
       }
     }
 
-    nodes.finalize();
+    nodes.finalize(mesh_to_node_id_to_vertex);
 
     // additional operations
     output_builder(nodes,
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h
index 3133d27d166..b2475bbb076 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/intersection_nodes.h
@@ -134,7 +134,8 @@ public:
   }
 
   void all_nodes_created(){}
-  void finalize() {}
+  template <class Mesh_to_map_node>
+  void finalize(const Mesh_to_map_node&) {}
 
   void check_no_duplicates()
   {
@@ -172,7 +173,6 @@ private:
   Exact_to_double exact_to_double;
   Exact_kernel        ek;
   Exact_kernel::Intersect_3 exact_intersection;
-  std::vector<vertex_descriptor> tm1_vertices, tm2_vertices;
   const bool doing_autorefinement;
 public:
   const TriangleMesh &tm1, &tm2;
@@ -282,37 +282,37 @@ public:
   }
 
   void all_nodes_created()
+  {}
+
+  void call_put(const VertexPointMap& vpm, vertex_descriptor vd, std::size_t i, TriangleMesh&)
   {
-    tm1_vertices.resize(enodes.size(), GT::null_vertex());
-    tm2_vertices.resize(enodes.size(), GT::null_vertex());
+    put(vpm, vd, exact_to_double(enodes[i])); // Note this call is useless and only useful to see something in debug for intermediate results
   }
 
-  void call_put(const VertexPointMap& vpm, vertex_descriptor vd, std::size_t i, TriangleMesh& tm)
+  template <class Node_id_to_vertex>
+  void finalize(const std::map<const TriangleMesh*, Node_id_to_vertex>& mesh_to_node_id_to_vertex)
   {
-    put(vpm, vd, exact_to_double(enodes[i]));
-    if (&tm1==&tm)
+    if (!doing_autorefinement)
     {
-      if (  tm1_vertices[i] == GT::null_vertex() )
+      const Node_id_to_vertex& tm1_vertices = mesh_to_node_id_to_vertex.find(&tm1)->second;
+      const Node_id_to_vertex& tm2_vertices = mesh_to_node_id_to_vertex.find(&tm2)->second;
+      for (std::size_t i=0, e=enodes.size(); i!=e; ++i)
       {
-        tm1_vertices[i] = vd;
-        return;
+        Point_3 pt = exact_to_double(enodes[i]);
+        if ( tm1_vertices[i] != GT::null_vertex() )
+          put(vpm1, tm1_vertices[i], pt);
+        if ( tm2_vertices[i] != GT::null_vertex() )
+          put(vpm2, tm2_vertices[i], pt);
       }
-      if (doing_autorefinement)
-        tm2_vertices[i] = vd;
     }
-    else
-      tm2_vertices[i] = vd;
-  }
-
-  void finalize()
-  {
-    for (std::size_t i=0, e=enodes.size(); i!=e; ++i)
-    {
-      Point_3 pt = exact_to_double(enodes[i]);
-      if ( tm1_vertices[i] != GT::null_vertex() )
-        put(vpm1, tm1_vertices[i], pt);
-      if ( tm2_vertices[i] != GT::null_vertex() )
-        put(vpm2, tm2_vertices[i], pt);
+    else{
+      const Node_id_to_vertex& tm1_vertices = mesh_to_node_id_to_vertex.find(&tm1)->second;
+      for (std::size_t i=0, e=enodes.size(); i!=e; ++i)
+      {
+        Point_3 pt = exact_to_double(enodes[i]);
+        if ( tm1_vertices[i] != GT::null_vertex() )
+          put(vpm1, tm1_vertices[i], pt);
+      }
     }
   }
 
@@ -433,7 +433,11 @@ public:
   }
 
   void all_nodes_created(){}
-  void finalize() {}
+
+  template <class Node_id_to_vertex>
+  void finalize(const std::map<const TriangleMesh*, Node_id_to_vertex>&)
+  {}
+
 
   void check_no_duplicates()
   {

From de855f47dbee5e4f049e2e82c85f9dac39318bf7 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 12 Dec 2019 14:37:50 +0100
Subject: [PATCH 025/317] readd work around for intersection edge being both on
 the boundary and in the interior

The solution is not perfect, as too many nodes are marked as terminal
but the output is correct (too much work is done on the boundary)
---
 .../internal/Corefinement/Visitor.h           | 83 +++++++++++--------
 1 file changed, 47 insertions(+), 36 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 19083a2df6f..26cb433c8db 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -162,7 +162,7 @@ private:
     typedef typename CDT::Vertex_handle                       CDT_Vertex_handle;
 // data members
 private:
-  // boost::dynamic_bitset<> non_manifold_nodes;
+  boost::dynamic_bitset<> is_node_on_boundary; // indicate if a vertex is a border vertex in tm1 or tm2
   std::vector< std::vector<Node_id> > graph_of_constraints;
   boost::dynamic_bitset<> is_node_of_degree_one;
   //nb of intersection points between coplanar faces, see fixes XSL_TAG_CPL_VERT
@@ -293,14 +293,32 @@ public:
     is_node_of_degree_one.resize(nb_nodes);
     for(std::size_t node_id=0;node_id<nb_nodes;++node_id)
     {
-    //   if (non_manifold_nodes.test(node_id))
-    //     graph[node_id].make_terminal();
       graph_of_constraints[node_id].assign(
         graph[node_id].neighbors.begin(),
         graph[node_id].neighbors.end());
 
       if (graph_of_constraints[node_id].size()==1)
         is_node_of_degree_one.set(node_id);
+
+      // mark every vertex on the boundary connected to another vertex by a non-boundary edge
+      // The logic is somehow equivalent to what was done with the container `non_manifold_nodes`
+      // that was used to split polylines at certains points. Non-manifold was used in the context
+      // of the combinatorial map where the import inside the combinatorial map was possible (see broken_bound-[12].off)
+      if (is_node_on_boundary.test(node_id))
+      {
+        // TODO: the commented condition is not restrictive enough. It only tests the vertices, not the edge used
+        //       to go from one vertex to the other. Right now we are marking too many norder vertices as
+        //       terminal than necessary. We cannot use mesh_to_node_id_to_vertex since it will be filled only
+        //       after the call to visitor.finalize() in the main algorithm
+        //       The current version of the code is correct but too many nodes are potentially
+        //       marked as terminal
+        if (graph_of_constraints[node_id].size()==2 /* && (
+            !is_node_on_boundary.test(graph_of_constraints[node_id][0]) ||
+            !is_node_on_boundary.test(graph_of_constraints[node_id][1]) ) */ )
+        {
+          graph[node_id].make_terminal();
+        }
+      }
     }
   }
 
@@ -336,33 +354,26 @@ public:
     CGAL_assertion(!"This function should not be called");
   }
 
-// The following code was used to split polylines at certains points.
-// Here manifold was used in the context of the combinatorial map where
-// the import inside the combinatorial map was possible (see broken_bound-[12].off)
-// I keep the code here for now as it could be use to detect non-manifold
-// situation of surfaces
-// void check_node_on_non_manifold_edge(
-//     std::size_t node_id,
-//     halfedge_descriptor h,
-//     const TriangleMesh& tm)
-// {
-//   if ( is_border_edge(h,tm) )
-//    non_manifold_nodes.set(node_id);
-// }
-//
-// void check_node_on_non_manifold_vertex(
-//   std::size_t node_id,
-//   halfedge_descriptor h,
-//   const TriangleMesh& tm)
-// {
-//   //we turn around the hedge and check no halfedge is a border halfedge
-//   for(halfedge_descriptor hc :halfedges_around_target(h,tm))
-//     if ( is_border_edge(hc,tm) )
-//     {
-//       non_manifold_nodes.set(node_id);
-//       return;
-//     }
-// }
+void check_node_on_boundary_edge_case(std::size_t node_id,
+                                     halfedge_descriptor h,
+                                     const TriangleMesh& tm)
+{
+  if ( is_border_edge(h,tm) )
+    is_node_on_boundary.set(node_id);
+}
+
+void check_node_on_boundary_vertex_case(std::size_t node_id,
+                                       halfedge_descriptor h,
+                                       const TriangleMesh& tm)
+{
+  //we turn around the hedge and check no halfedge is a border halfedge
+   for(halfedge_descriptor hc :halfedges_around_target(h,tm))
+    if ( is_border_edge(hc,tm) )
+    {
+      is_node_on_boundary.set(node_id);
+      return;
+    }
+}
 
   //keep track of the fact that a polyhedron original vertex is a node
   void all_incident_faces_got_a_node_as_vertex(
@@ -402,7 +413,7 @@ public:
                       bool is_target_coplanar,
                       bool is_source_coplanar)
   {
-    // non_manifold_nodes.resize(node_id+1);
+    is_node_on_boundary.resize(node_id+1, false);
 
     TriangleMesh* tm1_ptr = const_cast<TriangleMesh*>(&tm1);
     TriangleMesh* tm2_ptr = const_cast<TriangleMesh*>(&tm2);
@@ -417,7 +428,7 @@ public:
       case ON_EDGE: //Edge intersected by an edge
       {
         on_edge[tm2_ptr][edge(h_2,tm2)].push_back(node_id);
-      //   check_node_on_non_manifold_edge(node_id,h_2,tm2);
+        check_node_on_boundary_edge_case(node_id,h_2,tm2);
       }
       break;
       case ON_VERTEX:
@@ -429,7 +440,7 @@ public:
           node_id_to_vertex.resize(node_id+1,Graph_traits::null_vertex());
         node_id_to_vertex[node_id]=target(h_2,tm2);
         all_incident_faces_got_a_node_as_vertex(h_2,node_id,*tm2_ptr);
-      //   check_node_on_non_manifold_vertex(node_id,h_2,tm2);
+        check_node_on_boundary_vertex_case(node_id,h_2,tm2);
         output_builder.set_vertex_id(target(h_2, tm2), node_id, tm2);
       }
       break;
@@ -450,7 +461,7 @@ public:
       all_incident_faces_got_a_node_as_vertex(h_1,node_id, *tm1_ptr);
       // register the vertex in the output builder
       output_builder.set_vertex_id(target(h_1, tm1), node_id, tm1);
-      // check_node_on_non_manifold_vertex(node_id,h_1,tm1);
+      check_node_on_boundary_vertex_case(node_id,h_1,tm1);
     }
     else{
       if ( is_source_coplanar ){
@@ -464,7 +475,7 @@ public:
         all_incident_faces_got_a_node_as_vertex(h_1_opp,node_id, *tm1_ptr);
         // register the vertex in the output builder
         output_builder.set_vertex_id(source(h_1, tm1), node_id, tm1);
-      //   check_node_on_non_manifold_vertex(node_id,h_1_opp,tm1);
+        check_node_on_boundary_vertex_case(node_id,h_1_opp,tm1);
       }
       else{
         //handle intersection on principal edge
@@ -491,7 +502,7 @@ public:
         }
 
         on_edge[tm1_ptr][edge(h_1,tm1)].push_back(node_id);
-      //   check_node_on_non_manifold_edge(node_id,h_1,tm1);
+        check_node_on_boundary_edge_case(node_id,h_1,tm1);
       }
     }
   }

From e3c17c1feea5cc2558377c6b54593a680eef740f Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 12 Dec 2019 14:39:19 +0100
Subject: [PATCH 026/317] allow non default constructible maps

---
 .../Polygon_mesh_processing/internal/Corefinement/Visitor.h   | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 26cb433c8db..bcd41847c27 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -711,8 +711,8 @@ void check_node_on_boundary_vertex_case(std::size_t node_id,
     TriangleMesh* tm2_ptr = const_cast<TriangleMesh*>(&tm2);
 
     std::map<TriangleMesh*, VertexPointMap> vpms;
-    vpms[tm1_ptr] = vpm1;
-    vpms[tm2_ptr] = vpm2;
+    vpms.insert( std::make_pair(tm1_ptr, vpm1) );
+    vpms.insert( std::make_pair(tm2_ptr, vpm2) );
 
     vertex_descriptor null_vertex = Graph_traits::null_vertex();
     const Node_id nb_nodes = nodes.size();

From 4146c5c558aa4c38bedcb8354cbe630e1bca3ab1 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 8 Jan 2020 17:32:52 +0100
Subject: [PATCH 027/317] fix invalid scope of for loop

this impacted intersections on existing non-manifold vertices
---
 .../internal/Corefinement/Visitor.h           | 23 +++++++++++--------
 1 file changed, 14 insertions(+), 9 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index bcd41847c27..4f37ef7b238 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -268,17 +268,18 @@ public:
         std::size_t vid = get(tm_and_nm.second->v_nm_id, vd_and_id.first);
         if (vid!=NM_NID)
           vertices_to_add.push_back(std::make_pair(vd_and_id.first,vd_and_id.second));
-        for(const std::pair<vertex_descriptor, Node_id>& vd_and_nid : vertices_to_add)
+      }
+
+      for(const std::pair<vertex_descriptor, Node_id>& vd_and_nid : vertices_to_add)
+      {
+        std::size_t vid = get(tm_and_nm.second->v_nm_id, vd_and_nid.first);
+        for(vertex_descriptor vd : tm_and_nm.second->non_manifold_vertices[vid])
         {
-          std::size_t vid = get(tm_and_nm.second->v_nm_id, vd_and_nid.first);
-          for(vertex_descriptor vd : tm_and_nm.second->non_manifold_vertices[vid])
+          if (vd != vd_and_nid.first)
           {
-            if (vd != vd_and_nid.first)
-            {
-              vertex_to_node_id.insert(std::make_pair(vd,vd_and_nid.second));
-              output_builder.set_vertex_id(vd, vd_and_nid.second, *tm_ptr);
-              vertices_on_inter.insert(std::make_pair(vd_and_nid.second,halfedge(vd,*tm_ptr)));
-            }
+            vertex_to_node_id.insert(std::make_pair(vd,vd_and_nid.second));
+            output_builder.set_vertex_id(vd, vd_and_nid.second, *tm_ptr);
+            vertices_on_inter.insert(std::make_pair(vd_and_nid.second,halfedge(vd,*tm_ptr)));
           }
         }
       }
@@ -740,15 +741,19 @@ void check_node_on_boundary_vertex_case(std::size_t node_id,
     //   Face_boundaries& face_boundaries=mesh_to_face_boundaries[&tm];
 
       Node_to_target_of_hedge_map& nodes_to_hedge=it->second;
+
+      // iterate on the vertices that are on the intersection between the input meshes
       for(typename Node_to_target_of_hedge_map::iterator
             it_node_2_hedge=nodes_to_hedge.begin();
             it_node_2_hedge!=nodes_to_hedge.end();
             ++it_node_2_hedge)
       {
         Node_id node_id_of_first=it_node_2_hedge->first;
+        // look for neighbors of the current node in the intersection graph
         std::vector<Node_id>& neighbors=graph_of_constraints[node_id_of_first];
         if ( !neighbors.empty() )
         {
+          // for all neighbors look for input vertices that are also on the intersection
           for(Node_id node_id : neighbors)
           {
             //if already done for the opposite

From 9a3285be735aa8c6b8719ad329e4b4a5888a91b2 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 25 Mar 2020 11:46:05 +0100
Subject: [PATCH 028/317] fix patch dumping

---
 .../internal/Corefinement/face_graph_utils.h  | 38 ++++++++++++++-----
 1 file changed, 29 insertions(+), 9 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
index 3e9b5499feb..93316eb88cf 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
@@ -521,28 +521,38 @@ struct Patch_container{
     typedef typename GT::face_descriptor face_descriptor;
 
     Patch_description<PolygonMesh>& patch=this->operator[](i);
-    out << "OFF\n" << patch.interior_vertices.size() +
-                      patch.shared_edges.size();
-    out << " " << patch.faces.size() << " 0\n";
+
+    std::stringstream ss;
     std::map<vertex_descriptor, int> vertexid;
     int id=0;
     for(vertex_descriptor vh : patch.interior_vertices)
     {
       vertexid[vh]=id++;
-      out << get(vertex_point, pm, vh) << "\n";
+      ss << get(vertex_point, pm, vh) << "\n";
     }
 
     for(halfedge_descriptor hh : patch.shared_edges)
     {
-      vertexid[target(hh, pm)]=id++;
-      out << get(vertex_point, pm, target(hh, pm)) << "\n";
+      if( vertexid.insert( std::make_pair(target(hh,pm), id) ).second )
+      {
+        ss << get(vertex_point, pm, target(hh, pm)) << "\n";
+        ++id;
+      }
+      if( vertexid.insert( std::make_pair(source(hh,pm), id) ).second )
+      {
+        ss << get(vertex_point, pm, source(hh, pm)) << "\n";
+        ++id;
+      }
     }
 
+    out << "OFF\n" << id << " " << patch.faces.size() << " 0\n";
+    out << ss.str();
+
     for(face_descriptor f : patch.faces)
     {
-      out << "3 " << vertexid[source(halfedge(f,pm),pm)] <<
-             " "  << vertexid[target(halfedge(f,pm),pm)] <<
-             " "  << vertexid[target(next(halfedge(f,pm),pm),pm)] << "\n";
+      out << "3 " << vertexid.at(source(halfedge(f,pm),pm)) <<
+             " "  << vertexid.at(target(halfedge(f,pm),pm)) <<
+             " "  << vertexid.at(target(next(halfedge(f,pm),pm),pm)) << "\n";
     }
 
     return out;
@@ -559,6 +569,16 @@ struct Patch_container{
       dump_patch(i, output);
     }
   }
+  void dump_patches(std::string prefix)
+  {
+    for (std::size_t i=0;i <patches.size() ; ++i)
+    {
+      std::stringstream ss;
+      ss << prefix << "-" << i << ".off";
+      std::ofstream output(ss.str().c_str());
+      dump_patch(i, output);
+    }
+  }
 };
 
 template <class PolygonMesh,

From 5aa25a5f8e30375e441d9ce418ee7972a43d7945 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 25 Mar 2020 11:48:08 +0100
Subject: [PATCH 029/317] handle already updated links

---
 .../internal/Corefinement/face_graph_utils.h               | 7 ++++++-
 1 file changed, 6 insertions(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
index 93316eb88cf..b0a33bfd7bc 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
@@ -1649,10 +1649,15 @@ void remove_unused_polylines(
   for(vertex_descriptor v: vertices_kept)
   {
     halfedge_descriptor h = halfedge(v, tm), start=GT::null_halfedge();
-
+    halfedge_descriptor starter=h;
     do{
       while ( !is_border(h, tm) || is_border(opposite(h, tm), tm) )
+      {
         h = opposite(next(h, tm), tm);
+        if(h==starter) // it might happen that no update is required because it is already closed thanks to another patch from tm' (usually incident to coplanar patches)
+          break;
+      }
+      if( !is_border(h, tm) || is_border(opposite(h, tm), tm) ) break;
       halfedge_descriptor in = h;
       if (start==GT::null_halfedge())
         start=in;

From 94e4ad5353cc0e333a13f115fc1af9497b7858c7 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 25 May 2020 19:48:26 +0200
Subject: [PATCH 030/317] refactoring maxime's solution

---
 .../triangulate_faces.h                       | 193 +++++++++++++++++-
 .../Polygon_mesh_processing/CMakeLists.txt    |   1 +
 .../triangulate_hole_with_cdt_2_test.cpp      |  53 +++++
 3 files changed, 240 insertions(+), 7 deletions(-)
 create mode 100644 Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
index 79d3c8888e4..711dbc8e9a7 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
@@ -38,10 +38,13 @@
 #include <CGAL/use.h>
 #endif
 
+#include <CGAL/Polygon_2_algorithms.h>
+#include <CGAL/linear_least_squares_fitting_3.h>
 #include <CGAL/Polygon_mesh_processing/triangulate_hole.h>
 #include <CGAL/Polygon_mesh_processing/compute_normal.h>
 #include <CGAL/Polygon_mesh_processing/internal/named_function_params.h>
 #include <CGAL/Polygon_mesh_processing/internal/named_params_helper.h>
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 
 #include <boost/range/size.hpp>
 #include <boost/foreach.hpp>
@@ -91,6 +94,15 @@ public:
   }
 
   bool triangulate_face(face_descriptor f, PM& pmesh, bool use_cdt)
+  {
+    Emptyset_iterator out;
+    return triangulate_face(f, pmesh, use_cdt, out);
+  }
+
+  // Default for out is Emptyset_iterator(),
+  // and out is only used for triangulate_with_cdt_2().
+  template <typename OutputIterator>
+  bool triangulate_face(face_descriptor f, PM& pmesh, bool use_cdt, OutputIterator out)
   {
     typedef typename Traits::FT FT;
 
@@ -128,11 +140,29 @@ public:
       FT p0p2 = CGAL::cross_product(p1-p0,p1-p2) * CGAL::cross_product(p3-p2,p3-p0);
       if(p0p2>p1p3)
       {
-        CGAL::Euler::split_face(v0, v2, pmesh);
+        // CGAL::Euler::split_face(v0, v2, pmesh);
+        halfedge_descriptor hnew = halfedge(add_edge(pmesh), pmesh);
+        face_descriptor fnew = add_face(pmesh);
+        CGAL::internal::insert_tip(hnew, v2, pmesh);
+        CGAL::internal::insert_tip(opposite(hnew, pmesh), v0, pmesh);
+        set_face(hnew, face(v0, pmesh), pmesh);
+        CGAL::internal::set_face_in_face_loop(opposite(hnew, pmesh), fnew, pmesh);
+        set_halfedge(face(hnew, pmesh), hnew, pmesh);
+        set_halfedge(face(opposite(hnew, pmesh), pmesh), opposite(hnew, pmesh), pmesh);
+        *out++ = fnew;
       }
       else
       {
-        CGAL::Euler::split_face(v1, v3, pmesh);
+        // CGAL::Euler::split_face(v1, v3, pmesh);
+        halfedge_descriptor hnew = halfedge(add_edge(pmesh), pmesh);
+        face_descriptor fnew = add_face(pmesh);
+        CGAL::internal::insert_tip(hnew, v3, pmesh);
+        CGAL::internal::insert_tip(opposite(hnew, pmesh), v1, pmesh);
+        set_face(hnew, face(v1, pmesh), pmesh);
+        CGAL::internal::set_face_in_face_loop(opposite(hnew, pmesh), fnew, pmesh);
+        set_halfedge(face(hnew, pmesh), hnew, pmesh);
+        set_halfedge(face(opposite(hnew, pmesh), pmesh), opposite(hnew, pmesh), pmesh);
+        *out++ = fnew;
       }
     }
     else
@@ -153,18 +183,19 @@ public:
                                                            Itag>             CDT;
         P_traits cdt_traits(normal);
         CDT cdt(cdt_traits);
-        return triangulate_face_with_CDT(f, pmesh, cdt);
+        return triangulate_face_with_CDT(f, pmesh, cdt, out);
       }
 #else
       CGAL_USE(use_cdt);
 #endif
+      // Don't use out if no cdt.
       return triangulate_face_with_hole_filling(f, pmesh);
     }
     return true;
   }
 
-  template<class CDT>
-  bool triangulate_face_with_CDT(face_descriptor f, PM& pmesh, CDT& cdt)
+  template <class CDT, typename OutputIterator>
+  bool triangulate_face_with_CDT(face_descriptor f, PM& pmesh, CDT& cdt, OutputIterator out)
   {
     std::size_t original_size = CGAL::halfedges_around_face(halfedge(f, pmesh), pmesh).size();
 
@@ -277,7 +308,13 @@ public:
         set_next(h1, h2, pmesh);
         set_next(h2, h0, pmesh);
 
-        Euler::fill_hole(h0, pmesh);
+        // Euler::fill_hole(h0, pmesh);
+        face_descriptor new_face = add_face(pmesh);
+        BOOST_FOREACH(halfedge_descriptor hd, CGAL::halfedges_around_face(h0, pmesh)) {
+          set_face(hd, new_face, pmesh);
+        }
+        set_halfedge(new_face, h0, pmesh);
+        *out++ = new_face;
       }
     }
     return true;
@@ -446,8 +483,16 @@ bool triangulate_face(typename boost::graph_traits<PolygonMesh>::face_descriptor
   //Option
   bool use_cdt = choose_parameter(get_parameter(np, internal_np::use_delaunay_triangulation), true);
 
+  typedef typename internal_np::Lookup_named_param_def<
+    internal_np::output_iterator_t,
+    NamedParameters,
+    Emptyset_iterator>::type Output_iterator;
+
+  Output_iterator out = choose_parameter(
+    get_parameter(np, internal_np::output_iterator), Emptyset_iterator());
+
   internal::Triangulate_modifier<PolygonMesh, VPMap, Kernel> modifier(vpmap, traits);
-  return modifier.triangulate_face(f, pmesh, use_cdt);
+  return modifier.triangulate_face(f, pmesh, use_cdt, out);
 }
 
 template<typename PolygonMesh>
@@ -543,6 +588,140 @@ bool triangulate_faces(PolygonMesh& pmesh)
   return triangulate_faces(faces(pmesh), pmesh, CGAL::Polygon_mesh_processing::parameters::all_default());
 }
 
+/// \cond SKIP_IN_MANUAL
+template<typename GeomTraits>
+bool is_planar_2(
+  const std::vector<typename GeomTraits::Point_3>& polyline_3d,
+  const typename GeomTraits::Plane_3& fitted_plane,
+  const typename GeomTraits::FT fitting_error,
+  GeomTraits traits) {
+
+  // Otherwise, I can try to use the output `fitting_error` from the function linear_least_squares_fitting_3.
+  // Or I can use the normal of each edge in the `polyline_3d` and check the angle
+  // deviation among them. If it is acceptable, return true, otherwise false.
+
+  return true;
+}
+/// \endcond
+
+/*!
+  \ingroup hole_filling_grp
+  \brief triangulates a planar hole in a polygon mesh.
+
+  If the hole is planar, this function uses the 2D constrained Delaunay triangulation
+  in order to close the hole. The constraints are the border edges of the hole.
+
+  The hole must not contain any non-manifold vertex, nor self-intersections.
+  The patch generated does not introduce non-manifold edges nor degenerate triangles.
+  If a hole cannot be triangulated, `pmesh` is not modified and nothing is recorded in `out`.
+
+  \tparam PolygonMesh a model of `MutableFaceGraph`
+  \tparam OutputIterator a model of `OutputIterator` holding
+  `boost::graph_traits<PolygonMesh>::%face_descriptor` for patch faces.
+  \tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
+
+  \param pmesh polygon mesh which has the hole
+  \param border_halfedge a border halfedge incident to the hole
+    \param out iterator over patch faces
+  \param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
+
+  \cgalNamedParamsBegin
+    \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
+        If this parameter is omitted, an internal property map for
+        `CGAL::vertex_point_t` should be available in `PolygonMesh`
+        \cgalParamEnd
+    \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
+  \cgalNamedParamsEnd
+
+  \return `out`
+*/
+template<
+typename PolygonMesh,
+typename OutputIterator,
+typename NamedParameters>
+OutputIterator triangulate_hole_with_cdt_2(
+  PolygonMesh& pmesh,
+  typename boost::graph_traits<PolygonMesh>::halfedge_descriptor border_halfedge,
+  OutputIterator out,
+  const NamedParameters& np) {
+
+  typedef Halfedge_around_face_circulator<PolygonMesh> Hedge_around_face_circulator;
+
+  typedef typename GetVertexPointMap<PolygonMesh, NamedParameters>::const_type VPM;
+  typedef typename GetGeomTraits<PolygonMesh, NamedParameters>::type Kernel;
+
+  typedef typename Kernel::FT FT;
+  typedef typename Kernel::Point_2 Point_2;
+  typedef typename Kernel::Point_3 Point_3;
+  typedef typename Kernel::Plane_3 Plane_3;
+
+  typedef typename boost::graph_traits<PolygonMesh>::face_descriptor face_descriptor;
+
+  const VPM vpm = parameters::choose_parameter(
+    parameters::get_parameter(np, internal_np::vertex_point),
+    get_const_property_map(boost::vertex_point, pmesh));
+  const Kernel traits = parameters::choose_parameter(
+    parameters::get_parameter(np, internal_np::geom_traits), Kernel());
+
+  Hedge_around_face_circulator circ(border_halfedge, pmesh);
+  Hedge_around_face_circulator done(circ);
+
+  std::vector<Point_3> polyline_3d;
+  do {
+    polyline_3d.push_back(get(vpm, target(*circ, pmesh)));
+  } while (++circ != done);
+
+  // Plane fitting.
+  typedef Exact_predicates_inexact_constructions_kernel Local_kernel;
+  typedef typename Local_kernel::Point_3 Local_point_3;
+  typedef typename Local_kernel::Plane_3 Local_plane_3;
+  typedef Cartesian_converter<Kernel, Local_kernel> To_local_converter;
+
+  const To_local_converter to_local_converter;
+  std::vector<Local_point_3> points;
+  points.reserve(polyline_3d.size());
+  for (std::size_t i = 0; i < polyline_3d.size(); ++i)
+    points.push_back(to_local_converter(polyline_3d[i]));
+
+  Local_plane_3 fitted_plane;
+  const FT error = static_cast<FT>(linear_least_squares_fitting_3(
+    points.begin(), points.end(), fitted_plane, CGAL::Dimension_tag<0>()));
+  const Plane_3 plane = Plane_3(
+    static_cast<FT>(fitted_plane.a()),
+    static_cast<FT>(fitted_plane.b()),
+    static_cast<FT>(fitted_plane.c()),
+    static_cast<FT>(fitted_plane.d()));
+
+  // Checking simplicity and planarity.
+  std::vector<Point_2> polyline_2d;
+  polyline_2d.reserve(polyline_3d.size());
+  for (std::size_t i = 0; i < polyline_3d.size(); ++i)
+    polyline_2d.push_back(plane.to_2d(polyline_3d[i]));
+
+  const bool is_simple =
+    is_simple_2(polyline_2d.begin(), polyline_2d.end(), traits);
+  const bool is_planar =
+    is_planar_2(polyline_3d, plane, error, traits);
+
+  const bool is_planar_hole = is_simple && is_planar;
+  if (!is_planar_hole)
+    return triangulate_hole(
+      pmesh, border_halfedge, out, np);
+
+  face_descriptor new_face = add_face(pmesh);
+  set_halfedge(new_face, border_halfedge, pmesh);
+  do {
+    set_face(*circ, new_face, pmesh);
+  } while (++circ != done);
+
+  const bool use_cdt = true;
+  internal::Triangulate_modifier<PolygonMesh, VPM, Kernel> modifier(vpm, traits);
+  const bool success_with_cdt_2 =
+    modifier.triangulate_face(new_face, pmesh, use_cdt, out);
+  CGAL_assertion(success_with_cdt_2);
+  return out;
+}
+
 } // end namespace Polygon_mesh_processing
 
 } // end namespace CGAL
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
index d5ffb34ef3e..cf186a32775 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
@@ -99,6 +99,7 @@ endif()
   create_single_source_cgal_program("test_shape_predicates.cpp")
   create_single_source_cgal_program("test_pmp_collision_detection.cpp")
   create_single_source_cgal_program("test_pmp_manifoldness.cpp")
+  create_single_source_cgal_program("triangulate_hole_with_cdt_2_test.cpp")
 
   if( TBB_FOUND )
     CGAL_target_use_TBB(test_pmp_distance)
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
new file mode 100644
index 00000000000..18a556e0da7
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -0,0 +1,53 @@
+#include <vector>
+#include <fstream>
+
+#include <CGAL/Polyhedron_3.h>
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Polygon_mesh_processing/triangulate_faces.h>
+
+typedef CGAL::Exact_predicates_inexact_constructions_kernel GT;
+typedef CGAL::Polyhedron_3<GT> Polyhedron;
+
+typedef Polyhedron::Facet_handle Facet_handle;
+typedef Polyhedron::Halfedge_iterator Halfedge_iterator;
+
+int main(int argc, char **argv) {
+
+  Polyhedron polyhedron;
+  std::string path = "/Users/monet/Documents/gf/bugs/issue-4464/data/data.off";
+  std::ifstream in(path.c_str(), std::ios_base::in);
+  CGAL::set_ascii_mode(in);
+  CGAL::read_off(in, polyhedron);
+  in.close();
+  std::cout << "* finished reading the file" << std::endl;
+
+  // Incrementally fill the holes.
+  std::size_t num_borders = 0;
+  for (Halfedge_iterator h = polyhedron.halfedges_begin();
+  h != polyhedron.halfedges_end(); ++h) {
+    if (h->is_border()) {
+
+      ++num_borders;
+      std::vector<Facet_handle> patch_faces;
+      CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2(
+        polyhedron,
+        h,
+        std::back_inserter(patch_faces),
+        CGAL::Polygon_mesh_processing::parameters::vertex_point_map(
+          get(CGAL::vertex_point, polyhedron)).
+          geom_traits(GT()));
+
+      assert(patch_faces.size() == 25);
+      std::cout << "* number of faces in the constructed patch: " <<
+        patch_faces.size() << std::endl;
+    }
+  }
+  assert(num_borders == 2);
+
+  path = "/Users/monet/Documents/fork/logs/result-4464.off";
+  std::ofstream out(path.c_str(), std::ios_base::out);
+  CGAL::set_ascii_mode(out);
+  CGAL::write_off(out, polyhedron);
+  out.close();
+  std::cout << "* finished writing the file" << std::endl;
+}

From 552d4fbbae71ca2b839e786fc16114e72959b956 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 26 May 2020 16:18:33 +0200
Subject: [PATCH 031/317] added hole planarity check

---
 .../triangulate_faces.h                       | 114 ++++++++++++++--
 .../test/Polygon_mesh_processing/data/w.off   | 110 ++++++++++++++++
 .../triangulate_hole_with_cdt_2_test.cpp      | 124 +++++++++++++-----
 3 files changed, 305 insertions(+), 43 deletions(-)
 create mode 100644 Polygon_mesh_processing/test/Polygon_mesh_processing/data/w.off

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
index 711dbc8e9a7..f0675eb179e 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
@@ -38,13 +38,18 @@
 #include <CGAL/use.h>
 #endif
 
+#include <CGAL/assertions.h>
+#include <CGAL/number_utils.h>
+#include <CGAL/Cartesian_converter.h>
 #include <CGAL/Polygon_2_algorithms.h>
+#include <CGAL/Eigen_diagonalize_traits.h>
 #include <CGAL/linear_least_squares_fitting_3.h>
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+
 #include <CGAL/Polygon_mesh_processing/triangulate_hole.h>
 #include <CGAL/Polygon_mesh_processing/compute_normal.h>
 #include <CGAL/Polygon_mesh_processing/internal/named_function_params.h>
 #include <CGAL/Polygon_mesh_processing/internal/named_params_helper.h>
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 
 #include <boost/range/size.hpp>
 #include <boost/foreach.hpp>
@@ -593,14 +598,97 @@ template<typename GeomTraits>
 bool is_planar_2(
   const std::vector<typename GeomTraits::Point_3>& polyline_3d,
   const typename GeomTraits::Plane_3& fitted_plane,
-  const typename GeomTraits::FT fitting_error,
   GeomTraits traits) {
 
-  // Otherwise, I can try to use the output `fitting_error` from the function linear_least_squares_fitting_3.
-  // Or I can use the normal of each edge in the `polyline_3d` and check the angle
-  // deviation among them. If it is acceptable, return true, otherwise false.
+  // Typedefs.
+  typedef typename GeomTraits::FT FT;
+  typedef typename GeomTraits::Point_3 Point_3;
+  typedef typename GeomTraits::Vector_3 Vector_3;
+  typedef typename GeomTraits::Compute_squared_length_3 Squared_length_3;
+  typedef typename GeomTraits::Compute_squared_distance_3 Squared_distance_3;
+  typedef typename GeomTraits::Compute_scalar_product_3 Scalar_product_3;
+  typedef typename GeomTraits::Collinear_3 Collinear_3;
 
-  return true;
+  const Squared_length_3 squared_length_3 = traits.compute_squared_length_3_object();
+  const Squared_distance_3 squared_distance_3 = traits.compute_squared_distance_3_object();
+  const Scalar_product_3 scalar_product_3 = traits.compute_scalar_product_3_object();
+  const Collinear_3 collinear_3 = traits.collinear_3_object();
+
+  CGAL_precondition(
+    polyline_3d.size() >= 3);
+
+  // Distance criteria.
+
+  // Tolerance.
+  const FT dist_tol = FT(1) / FT(100000);
+
+  // Compute max distance.
+  FT max_dist = -FT(1);
+  for (std::size_t i = 0; i < polyline_3d.size(); ++i) {
+    const Point_3& p = polyline_3d[i];
+    const FT dist = static_cast<FT>(
+      CGAL::sqrt(CGAL::to_double(squared_distance_3(p, fitted_plane))));
+    max_dist = (CGAL::max)(dist, max_dist);
+  }
+  CGAL_assertion(max_dist != -FT(1));
+
+  // Angle criteria.
+
+  // Tolerance.
+  const FT angle_tol = FT(5); // degrees
+  const FT normal_tol = static_cast<FT>(
+    std::cos(CGAL::to_double(
+      (angle_tol * static_cast<FT>(CGAL_PI)) / FT(180))));
+
+  // Compute fitted plane normal.
+  Vector_3 normal = fitted_plane.orthogonal_vector();
+  FT normal_length = static_cast<FT>(
+    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
+  CGAL_assertion(normal_length > FT(0));
+  const Vector_3 ref_normal = normal / normal_length;
+
+  // Compute average normal of the hole.
+  FT x = FT(0), y = FT(0), z = FT(0);
+  std::size_t num_normals = 0;
+  const Point_3& ref_point = polyline_3d[0];
+  for (std::size_t i = 1; i < polyline_3d.size() - 1; ++i) {
+    const std::size_t ip = i + 1;
+
+    const Point_3& p1 = ref_point;
+    const Point_3& p2 = polyline_3d[i];
+    const Point_3& p3 = polyline_3d[ip];
+
+    // Skip in case we have collinear points.
+    if (collinear_3(p1, p2, p3))
+      continue;
+
+    normal = CGAL::normal(p1, p2, p3);
+    normal_length = static_cast<FT>(
+      CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
+    CGAL_assertion(normal_length > FT(0));
+    normal /= normal_length;
+
+    x += normal.x(); y += normal.y(); z += normal.z();
+    ++num_normals;
+  }
+  CGAL_assertion(num_normals >= 1);
+  x /= static_cast<FT>(num_normals);
+  y /= static_cast<FT>(num_normals);
+  z /= static_cast<FT>(num_normals);
+
+  normal = Vector_3(x, y, z);
+  normal_length = static_cast<FT>(
+    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
+  const Vector_3 avg_normal = normal / normal_length;
+
+  const FT cos_value =
+    CGAL::abs(scalar_product_3(avg_normal, ref_normal));
+
+  // Check planarity.
+  const bool is_planar = (
+    (  max_dist <= dist_tol ) &&
+    ( cos_value >= normal_tol ));
+  return is_planar;
 }
 /// \endcond
 
@@ -622,7 +710,7 @@ bool is_planar_2(
 
   \param pmesh polygon mesh which has the hole
   \param border_halfedge a border halfedge incident to the hole
-    \param out iterator over patch faces
+  \param out iterator over patch faces
   \param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
 
   \cgalNamedParamsBegin
@@ -673,6 +761,7 @@ OutputIterator triangulate_hole_with_cdt_2(
 
   // Plane fitting.
   typedef Exact_predicates_inexact_constructions_kernel Local_kernel;
+  typedef typename Local_kernel::FT Local_FT;
   typedef typename Local_kernel::Point_3 Local_point_3;
   typedef typename Local_kernel::Plane_3 Local_plane_3;
   typedef Cartesian_converter<Kernel, Local_kernel> To_local_converter;
@@ -684,8 +773,12 @@ OutputIterator triangulate_hole_with_cdt_2(
     points.push_back(to_local_converter(polyline_3d[i]));
 
   Local_plane_3 fitted_plane;
-  const FT error = static_cast<FT>(linear_least_squares_fitting_3(
-    points.begin(), points.end(), fitted_plane, CGAL::Dimension_tag<0>()));
+  Local_point_3 fitted_centroid;
+  linear_least_squares_fitting_3(
+    points.begin(), points.end(), fitted_plane, fitted_centroid,
+    CGAL::Dimension_tag<0>(), Local_kernel(),
+    CGAL::Eigen_diagonalize_traits<Local_FT, 3>());
+
   const Plane_3 plane = Plane_3(
     static_cast<FT>(fitted_plane.a()),
     static_cast<FT>(fitted_plane.b()),
@@ -701,7 +794,7 @@ OutputIterator triangulate_hole_with_cdt_2(
   const bool is_simple =
     is_simple_2(polyline_2d.begin(), polyline_2d.end(), traits);
   const bool is_planar =
-    is_planar_2(polyline_3d, plane, error, traits);
+    is_planar_2(polyline_3d, plane, traits);
 
   const bool is_planar_hole = is_simple && is_planar;
   if (!is_planar_hole)
@@ -714,6 +807,7 @@ OutputIterator triangulate_hole_with_cdt_2(
     set_face(*circ, new_face, pmesh);
   } while (++circ != done);
 
+  // Triangulating.
   const bool use_cdt = true;
   internal::Triangulate_modifier<PolygonMesh, VPM, Kernel> modifier(vpm, traits);
   const bool success_with_cdt_2 =
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w.off
new file mode 100644
index 00000000000..3de92a15ff0
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w.off
@@ -0,0 +1,110 @@
+OFF
+54 54 0
+519 0 100
+734 -817 0
+734 -817 100
+775 -636 0
+775 -636 100
+944 0 0
+944 0 100
+1131 0 0
+1131 0 100
+1463 -1062 0
+1463 -1062 100
+1288 -1062 0
+1288 -1062 100
+1106 -448 0
+1106 -448 100
+1045 -243 0
+1045 -243 100
+992 -446 0
+992 -446 100
+833 -1062 0
+833 -1062 100
+648 -1062 0
+648 -1062 100
+479 -440 0
+479 -440 100
+468 -400 0
+468 -400 100
+459 -366 0
+459 -366 100
+451 -334 0
+451 -334 100
+445 -307 0
+445 -307 100
+439 -284 0
+439 -284 100
+434 -263 0
+434 -263 100
+430 -247 0
+430 -247 100
+426 -234 0
+426 -234 100
+424 -225 0
+424 -225 100
+424 -221 0
+424 -221 100
+361 -449 0
+361 -449 100
+192 -1062 0
+192 -1062 100
+6 -1062 0
+6 -1062 100
+331 0 0
+331 0 100
+519 0 0
+3 2 1 0
+3 53 0 1
+3 4 3 2
+3 1 2 3
+3 6 5 4
+3 3 4 5
+3 8 7 6
+3 5 6 7
+3 10 9 8
+3 7 8 9
+3 12 11 10
+3 9 10 11
+3 14 13 12
+3 11 12 13
+3 16 15 14
+3 13 14 15
+3 18 17 16
+3 15 16 17
+3 20 19 18
+3 17 18 19
+3 22 21 20
+3 19 20 21
+3 24 23 22
+3 21 22 23
+3 26 25 24
+3 23 24 25
+3 28 27 26
+3 25 26 27
+3 30 29 28
+3 27 28 29
+3 32 31 30
+3 29 30 31
+3 34 33 32
+3 31 32 33
+3 36 35 34
+3 33 34 35
+3 38 37 36
+3 35 36 37
+3 40 39 38
+3 37 38 39
+3 42 41 40
+3 39 40 41
+3 44 43 42
+3 41 42 43
+3 46 45 44
+3 43 44 45
+3 48 47 46
+3 45 46 47
+3 50 49 48
+3 47 48 49
+3 52 51 50
+3 49 50 51
+3 0 53 52
+3 51 52 53
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index 18a556e0da7..c9856f208b1 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -1,53 +1,111 @@
+#include <set>
 #include <vector>
 #include <fstream>
+#include <cassert>
+#include <string>
 
+#include <CGAL/Surface_mesh.h>
 #include <CGAL/Polyhedron_3.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
 #include <CGAL/Polygon_mesh_processing/triangulate_faces.h>
 
-typedef CGAL::Exact_predicates_inexact_constructions_kernel GT;
-typedef CGAL::Polyhedron_3<GT> Polyhedron;
+template<
+class PolygonMesh,
+class Halfedge_handle>
+void detect_borders(
+  PolygonMesh& pmesh,
+  std::vector<Halfedge_handle>& borders) {
 
-typedef Polyhedron::Facet_handle Facet_handle;
-typedef Polyhedron::Halfedge_iterator Halfedge_iterator;
+  typedef CGAL::Halfedge_around_face_circulator<PolygonMesh>
+    Halfedge_around_facet_circulator;
 
-int main(int argc, char **argv) {
+  borders.clear();
+  std::set<Halfedge_handle> border_map;
+  BOOST_FOREACH(Halfedge_handle h, halfedges(pmesh)) {
+    if (
+      face(h, pmesh) == boost::graph_traits<PolygonMesh>::null_face() &&
+      border_map.find(h) == border_map.end()) {
 
-  Polyhedron polyhedron;
-  std::string path = "/Users/monet/Documents/gf/bugs/issue-4464/data/data.off";
+      borders.push_back(h);
+      Halfedge_around_facet_circulator hf_around_facet(h, pmesh);
+      Halfedge_around_facet_circulator done(hf_around_facet);
+
+      do {
+        const bool insertion_ok = border_map.insert(*hf_around_facet).second;
+        assert(insertion_ok);
+      } while (++hf_around_facet != done);
+    }
+  }
+}
+
+// This test is inspired by the issue: https://github.com/CGAL/cgal/issues/4464.
+template<
+typename PolygonMesh,
+typename GT>
+void test_triangulate_hole_with_cdt_2(
+  const std::string kernel_name,
+  int argc, char **argv, const bool save) {
+
+  typedef typename boost::graph_traits<PolygonMesh>::face_descriptor Face_handle;
+  typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor Halfedge_handle;
+
+  // Reading the file.
+  std::cout << "test with the " << kernel_name << " kernel:" << std::endl;
+  PolygonMesh pmesh;
+  std::string path = "data/w.off";
   std::ifstream in(path.c_str(), std::ios_base::in);
   CGAL::set_ascii_mode(in);
-  CGAL::read_off(in, polyhedron);
+  CGAL::read_off(in, pmesh);
   in.close();
   std::cout << "* finished reading the file" << std::endl;
 
-  // Incrementally fill the holes.
-  std::size_t num_borders = 0;
-  for (Halfedge_iterator h = polyhedron.halfedges_begin();
-  h != polyhedron.halfedges_end(); ++h) {
-    if (h->is_border()) {
+  // Detecting hole borders.
+  std::vector<Halfedge_handle> borders;
+  detect_borders(pmesh, borders);
+  assert(borders.size() == 2);
 
-      ++num_borders;
-      std::vector<Facet_handle> patch_faces;
-      CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2(
-        polyhedron,
-        h,
-        std::back_inserter(patch_faces),
-        CGAL::Polygon_mesh_processing::parameters::vertex_point_map(
-          get(CGAL::vertex_point, polyhedron)).
-          geom_traits(GT()));
+  // Triangulating holes.
+  std::vector<Face_handle> patch_faces;
+  BOOST_FOREACH(Halfedge_handle h, borders) {
+    patch_faces.clear();
+    CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2(
+      pmesh,
+      h,
+      std::back_inserter(patch_faces),
+      CGAL::Polygon_mesh_processing::parameters::vertex_point_map(
+        get(CGAL::vertex_point, pmesh)).
+        geom_traits(GT()));
 
-      assert(patch_faces.size() == 25);
-      std::cout << "* number of faces in the constructed patch: " <<
-        patch_faces.size() << std::endl;
-    }
+    assert(patch_faces.size() == 25);
+    std::cout << "* number of faces in the constructed patch: " <<
+      patch_faces.size() << std::endl;
   }
-  assert(num_borders == 2);
+  assert(pmesh.is_valid() && is_closed(pmesh));
 
-  path = "/Users/monet/Documents/fork/logs/result-4464.off";
-  std::ofstream out(path.c_str(), std::ios_base::out);
-  CGAL::set_ascii_mode(out);
-  CGAL::write_off(out, polyhedron);
-  out.close();
-  std::cout << "* finished writing the file" << std::endl;
+  // Writing the file.
+  if (save) {
+    path = "";
+    if (argc > 1) path = std::string(argv[1]);
+    path += "w-4464.off";
+    std::ofstream out(path.c_str(), std::ios_base::out);
+    CGAL::set_ascii_mode(out);
+    CGAL::write_off(out, pmesh);
+    out.close();
+    std::cout << "* finished writing the file" << std::endl;
+  }
+}
+
+int main(int argc, char **argv) {
+
+  typedef CGAL::Exact_predicates_inexact_constructions_kernel EI;
+  typedef CGAL::Exact_predicates_exact_constructions_kernel EE;
+
+  typedef CGAL::Surface_mesh<EI::Point_3> Surface_mesh_EI;
+  typedef CGAL::Polyhedron_3<EE> Polyhedron_3_EE;
+
+  test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
+    "exact_inexact", argc, argv, false);
+  test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
+    "exact_exact", argc, argv, true);
 }

From a2038e822096c0507f189577f39c45a1f7340e2c Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 26 May 2020 16:40:45 +0200
Subject: [PATCH 032/317] extended ref manual for the feature requested in the
 issue #4464

---
 .../doc/Polygon_mesh_processing/PackageDescription.txt           | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt b/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt
index dd50ce28305..e03b81f09fe 100644
--- a/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt
+++ b/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt
@@ -108,6 +108,7 @@ and provides a list of the parameters that are used in this package.
 - `CGAL::Polygon_mesh_processing::triangulate_and_refine_hole()`
 - `CGAL::Polygon_mesh_processing::triangulate_refine_and_fair_hole()`
 - `CGAL::Polygon_mesh_processing::triangulate_hole_polyline()`
+- `CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2()`
 
 \cgalCRPSection{Predicate Functions}
 - `CGAL::Polygon_mesh_processing::does_self_intersect()`

From 7ac04fd907e5d01107a034ebf3e93113dc2ebab9 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 8 Jun 2020 14:21:12 +0200
Subject: [PATCH 033/317] checking the hole simplicity with the extended
 triangulation projection traits

---
 .../triangulate_faces.h                       | 218 ++++++------------
 .../triangulate_hole_with_cdt_2_test.cpp      |  10 +-
 ...Triangulation_2_projection_traits_base_3.h |  35 +++
 3 files changed, 108 insertions(+), 155 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
index 21eb80b4059..49100398d31 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
@@ -31,11 +31,7 @@
 
 #include <CGAL/assertions.h>
 #include <CGAL/number_utils.h>
-#include <CGAL/Cartesian_converter.h>
 #include <CGAL/Polygon_2_algorithms.h>
-#include <CGAL/Eigen_diagonalize_traits.h>
-#include <CGAL/linear_least_squares_fitting_3.h>
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 
 #include <CGAL/Polygon_mesh_processing/triangulate_hole.h>
 #include <CGAL/Polygon_mesh_processing/compute_normal.h>
@@ -305,7 +301,7 @@ public:
 
         // Euler::fill_hole(h0, pmesh);
         face_descriptor new_face = add_face(pmesh);
-        BOOST_FOREACH(halfedge_descriptor hd, CGAL::halfedges_around_face(h0, pmesh)) {
+        for (halfedge_descriptor hd : CGAL::halfedges_around_face(h0, pmesh)) {
           set_face(hd, new_face, pmesh);
         }
         set_halfedge(new_face, h0, pmesh);
@@ -583,105 +579,6 @@ bool triangulate_faces(PolygonMesh& pmesh)
   return triangulate_faces(faces(pmesh), pmesh, CGAL::Polygon_mesh_processing::parameters::all_default());
 }
 
-/// \cond SKIP_IN_MANUAL
-template<typename GeomTraits>
-bool is_planar_2(
-  const std::vector<typename GeomTraits::Point_3>& polyline_3d,
-  const typename GeomTraits::Plane_3& fitted_plane,
-  GeomTraits traits) {
-
-  // Typedefs.
-  typedef typename GeomTraits::FT FT;
-  typedef typename GeomTraits::Point_3 Point_3;
-  typedef typename GeomTraits::Vector_3 Vector_3;
-  typedef typename GeomTraits::Compute_squared_length_3 Squared_length_3;
-  typedef typename GeomTraits::Compute_squared_distance_3 Squared_distance_3;
-  typedef typename GeomTraits::Compute_scalar_product_3 Scalar_product_3;
-  typedef typename GeomTraits::Collinear_3 Collinear_3;
-
-  const Squared_length_3 squared_length_3 = traits.compute_squared_length_3_object();
-  const Squared_distance_3 squared_distance_3 = traits.compute_squared_distance_3_object();
-  const Scalar_product_3 scalar_product_3 = traits.compute_scalar_product_3_object();
-  const Collinear_3 collinear_3 = traits.collinear_3_object();
-
-  CGAL_precondition(
-    polyline_3d.size() >= 3);
-
-  // Distance criteria.
-
-  // Tolerance.
-  const FT dist_tol = FT(1) / FT(100000);
-
-  // Compute max distance.
-  FT max_dist = -FT(1);
-  for (std::size_t i = 0; i < polyline_3d.size(); ++i) {
-    const Point_3& p = polyline_3d[i];
-    const FT dist = static_cast<FT>(
-      CGAL::sqrt(CGAL::to_double(squared_distance_3(p, fitted_plane))));
-    max_dist = (CGAL::max)(dist, max_dist);
-  }
-  CGAL_assertion(max_dist != -FT(1));
-
-  // Angle criteria.
-
-  // Tolerance.
-  const FT angle_tol = FT(5); // degrees
-  const FT normal_tol = static_cast<FT>(
-    std::cos(CGAL::to_double(
-      (angle_tol * static_cast<FT>(CGAL_PI)) / FT(180))));
-
-  // Compute fitted plane normal.
-  Vector_3 normal = fitted_plane.orthogonal_vector();
-  FT normal_length = static_cast<FT>(
-    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
-  CGAL_assertion(normal_length > FT(0));
-  const Vector_3 ref_normal = normal / normal_length;
-
-  // Compute average normal of the hole.
-  FT x = FT(0), y = FT(0), z = FT(0);
-  std::size_t num_normals = 0;
-  const Point_3& ref_point = polyline_3d[0];
-  for (std::size_t i = 1; i < polyline_3d.size() - 1; ++i) {
-    const std::size_t ip = i + 1;
-
-    const Point_3& p1 = ref_point;
-    const Point_3& p2 = polyline_3d[i];
-    const Point_3& p3 = polyline_3d[ip];
-
-    // Skip in case we have collinear points.
-    if (collinear_3(p1, p2, p3))
-      continue;
-
-    normal = CGAL::normal(p1, p2, p3);
-    normal_length = static_cast<FT>(
-      CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
-    CGAL_assertion(normal_length > FT(0));
-    normal /= normal_length;
-
-    x += normal.x(); y += normal.y(); z += normal.z();
-    ++num_normals;
-  }
-  CGAL_assertion(num_normals >= 1);
-  x /= static_cast<FT>(num_normals);
-  y /= static_cast<FT>(num_normals);
-  z /= static_cast<FT>(num_normals);
-
-  normal = Vector_3(x, y, z);
-  normal_length = static_cast<FT>(
-    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
-  const Vector_3 avg_normal = normal / normal_length;
-
-  const FT cos_value =
-    CGAL::abs(scalar_product_3(avg_normal, ref_normal));
-
-  // Check planarity.
-  const bool is_planar = (
-    (  max_dist <= dist_tol ) &&
-    ( cos_value >= normal_tol ));
-  return is_planar;
-}
-/// \endcond
-
 /*!
   \ingroup hole_filling_grp
   \brief triangulates a planar hole in a polygon mesh.
@@ -723,74 +620,93 @@ OutputIterator triangulate_hole_with_cdt_2(
   OutputIterator out,
   const NamedParameters& np) {
 
-  typedef Halfedge_around_face_circulator<PolygonMesh> Hedge_around_face_circulator;
+  #ifdef CGAL_TRIANGULATE_FACES_DO_NOT_USE_CDT2
+
+  return triangulate_hole(
+    pmesh, border_halfedge, out, np);
+
+  #else
+
+  typedef typename GetGeomTraits<PolygonMesh, NamedParameters>::type Traits;
+  const Traits traits = parameters::choose_parameter(
+    parameters::get_parameter(np, internal_np::geom_traits), Traits());
+
+  typedef typename Traits::FT FT;
+  typedef typename Traits::Point_3 Point_3;
+  typedef typename Traits::Vector_3 Vector_3;
+  typedef typename Traits::Collinear_3 Collinear_3;
+  typedef typename Traits::Compute_squared_length_3 Squared_length_3;
 
   typedef typename GetVertexPointMap<PolygonMesh, NamedParameters>::const_type VPM;
-  typedef typename GetGeomTraits<PolygonMesh, NamedParameters>::type Kernel;
-
-  typedef typename Kernel::FT FT;
-  typedef typename Kernel::Point_2 Point_2;
-  typedef typename Kernel::Point_3 Point_3;
-  typedef typename Kernel::Plane_3 Plane_3;
-
-  typedef typename boost::graph_traits<PolygonMesh>::face_descriptor face_descriptor;
-
   const VPM vpm = parameters::choose_parameter(
     parameters::get_parameter(np, internal_np::vertex_point),
     get_const_property_map(boost::vertex_point, pmesh));
-  const Kernel traits = parameters::choose_parameter(
-    parameters::get_parameter(np, internal_np::geom_traits), Kernel());
 
+  typedef Halfedge_around_face_circulator<PolygonMesh> Hedge_around_face_circulator;
   Hedge_around_face_circulator circ(border_halfedge, pmesh);
   Hedge_around_face_circulator done(circ);
 
+  // Getting the hole boundary.
   std::vector<Point_3> polyline_3d;
   do {
     polyline_3d.push_back(get(vpm, target(*circ, pmesh)));
   } while (++circ != done);
+  CGAL_assertion(
+    polyline_3d.size() >= 3);
 
-  // Plane fitting.
-  typedef Exact_predicates_inexact_constructions_kernel Local_kernel;
-  typedef typename Local_kernel::FT Local_FT;
-  typedef typename Local_kernel::Point_3 Local_point_3;
-  typedef typename Local_kernel::Plane_3 Local_plane_3;
-  typedef Cartesian_converter<Kernel, Local_kernel> To_local_converter;
+  // Compute an average normal of the hole face.
+  const Squared_length_3 squared_length_3 =
+    traits.compute_squared_length_3_object();
+  const Collinear_3 collinear_3 =
+    traits.collinear_3_object();
 
-  const To_local_converter to_local_converter;
-  std::vector<Local_point_3> points;
-  points.reserve(polyline_3d.size());
-  for (std::size_t i = 0; i < polyline_3d.size(); ++i)
-    points.push_back(to_local_converter(polyline_3d[i]));
+  FT x = FT(0), y = FT(0), z = FT(0);
+  std::size_t num_normals = 0;
+  const Point_3& ref_point = polyline_3d[0];
+  for (std::size_t i = 1; i < polyline_3d.size() - 1; ++i) {
+    const std::size_t ip = i + 1;
 
-  Local_plane_3 fitted_plane;
-  Local_point_3 fitted_centroid;
-  linear_least_squares_fitting_3(
-    points.begin(), points.end(), fitted_plane, fitted_centroid,
-    CGAL::Dimension_tag<0>(), Local_kernel(),
-    CGAL::Eigen_diagonalize_traits<Local_FT, 3>());
+    const Point_3& p1 = ref_point; // 3 points, which form a triangle
+    const Point_3& p2 = polyline_3d[i];
+    const Point_3& p3 = polyline_3d[ip];
 
-  const Plane_3 plane = Plane_3(
-    static_cast<FT>(fitted_plane.a()),
-    static_cast<FT>(fitted_plane.b()),
-    static_cast<FT>(fitted_plane.c()),
-    static_cast<FT>(fitted_plane.d()));
+    // Skip in case we have collinear points.
+    if (collinear_3(p1, p2, p3))
+      continue;
 
-  // Checking simplicity and planarity.
-  std::vector<Point_2> polyline_2d;
-  polyline_2d.reserve(polyline_3d.size());
-  for (std::size_t i = 0; i < polyline_3d.size(); ++i)
-    polyline_2d.push_back(plane.to_2d(polyline_3d[i]));
+    // Computing the normal of a triangle.
+    Vector_3 tri_normal = CGAL::normal(p1, p2, p3);
+    const FT tri_normal_length = static_cast<FT>(
+      CGAL::sqrt(CGAL::to_double(squared_length_3(tri_normal))));
+    CGAL_assertion(tri_normal_length > FT(0));
+    tri_normal /= tri_normal_length;
 
+    x += tri_normal.x(); y += tri_normal.y(); z += tri_normal.z();
+    ++num_normals;
+  }
+
+  CGAL_assertion(num_normals >= 1);
+  x /= static_cast<FT>(num_normals);
+  y /= static_cast<FT>(num_normals);
+  z /= static_cast<FT>(num_normals);
+
+  // Setting the final normal.
+  const Vector_3 normal = Vector_3(x, y, z);
+  const FT normal_length = static_cast<FT>(
+    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
+  const Vector_3 avg_normal = normal / normal_length;
+
+  // Checking the hole simplicity.
+  typedef Triangulation_2_projection_traits_3<Traits> P_traits;
+  const P_traits p_traits(avg_normal);
   const bool is_simple =
-    is_simple_2(polyline_2d.begin(), polyline_2d.end(), traits);
-  const bool is_planar =
-    is_planar_2(polyline_3d, plane, traits);
-
-  const bool is_planar_hole = is_simple && is_planar;
-  if (!is_planar_hole)
+    is_simple_2(polyline_3d.begin(), polyline_3d.end(), p_traits);
+  if (!is_simple)
     return triangulate_hole(
       pmesh, border_halfedge, out, np);
 
+  // Adding the new face.
+  typedef typename boost::graph_traits<PolygonMesh>::face_descriptor face_descriptor;
   face_descriptor new_face = add_face(pmesh);
   set_halfedge(new_face, border_halfedge, pmesh);
   do {
@@ -799,10 +715,12 @@ OutputIterator triangulate_hole_with_cdt_2(
 
   // Triangulating.
   const bool use_cdt = true;
-  internal::Triangulate_modifier<PolygonMesh, VPM, Kernel> modifier(vpm, traits);
+  internal::Triangulate_modifier<PolygonMesh, VPM, Traits> modifier(vpm, traits);
   const bool success_with_cdt_2 =
     modifier.triangulate_face(new_face, pmesh, use_cdt, out);
   CGAL_assertion(success_with_cdt_2);
+
+  #endif
   return out;
 }
 
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index c9856f208b1..eab4b75e39d 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -4,8 +4,8 @@
 #include <cassert>
 #include <string>
 
-#include <CGAL/Surface_mesh.h>
 #include <CGAL/Polyhedron_3.h>
+#include <CGAL/Surface_mesh.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
 #include <CGAL/Polygon_mesh_processing/triangulate_faces.h>
@@ -22,7 +22,7 @@ void detect_borders(
 
   borders.clear();
   std::set<Halfedge_handle> border_map;
-  BOOST_FOREACH(Halfedge_handle h, halfedges(pmesh)) {
+  for (Halfedge_handle h : halfedges(pmesh)) {
     if (
       face(h, pmesh) == boost::graph_traits<PolygonMesh>::null_face() &&
       border_map.find(h) == border_map.end()) {
@@ -60,14 +60,14 @@ void test_triangulate_hole_with_cdt_2(
   in.close();
   std::cout << "* finished reading the file" << std::endl;
 
-  // Detecting hole borders.
+  // Detecting the hole borders.
   std::vector<Halfedge_handle> borders;
   detect_borders(pmesh, borders);
   assert(borders.size() == 2);
 
-  // Triangulating holes.
+  // Triangulating the holes.
   std::vector<Face_handle> patch_faces;
-  BOOST_FOREACH(Halfedge_handle h, borders) {
+  for (Halfedge_handle h : borders) {
     patch_faces.clear();
     CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2(
       pmesh,
diff --git a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
index 984d2381035..1373d24e0bb 100644
--- a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
+++ b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
@@ -281,6 +281,33 @@ public:
   }
 }; // end class Compare_along_axis
 
+template <class Traits>
+class Less_xy_along_axis
+{
+  // private members
+  typedef typename Traits::Vector_3 Vector_3;
+  typedef typename Traits::Point_2 Point;
+  Vector_3 base1, base2;
+public:
+  Less_xy_along_axis(const Vector_3& base1, const Vector_3& base2) : base1(base1), base2(base2)
+  {
+    CGAL_PROFILER("Construct Less_xy_along_axis")
+    CGAL_TIME_PROFILER("Construct Less_xy_along_axis")
+  }
+
+  typedef bool result_type;
+
+  bool operator() (const Point &p, const Point &q) const {
+
+    Compare_along_axis<Traits> cx(base1);
+    Comparison_result crx = cx(p, q);
+    if (crx == SMALLER) { return true; }
+    if (crx == LARGER) { return false; }
+    Less_along_axis<Traits> ly(base2);
+    return ly(p, q);
+  }
+}; // end class Less_xy_along_axis
+
 } // end namespace TriangulationProjectionTraitsCartesianFunctors
 
 
@@ -345,6 +372,8 @@ public:
     Less_along_axis<Self>                                    Less_x_2;
   typedef TriangulationProjectionTraitsCartesianFunctors::
     Less_along_axis<Self>                                    Less_y_2;
+  typedef TriangulationProjectionTraitsCartesianFunctors::
+    Less_xy_along_axis<Self>                                 Less_xy_2;
 
   typedef TriangulationProjectionTraitsCartesianFunctors::
     Projected_orientation_with_normal_3<Self>                Orientation_2;
@@ -385,6 +414,12 @@ public:
     return Less_y_2(this->base2());
   }
 
+  Less_xy_2
+  less_xy_2_object() const
+  {
+    return Less_xy_2(this->base1(), this->base2());
+  }
+
   Compare_x_2
   compare_x_2_object() const
   {

From a9f77bec71ac7ae7208bd4c0fc7280d011e6a6ee Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 8 Jun 2020 17:31:47 +0200
Subject: [PATCH 034/317] added various tests for checking the hole filling
 with cdt2

---
 .../Polygon_mesh_processing/CMakeLists.txt    |   16 +-
 .../data/elephant_nonsimple_hole.off          | 8192 +++++++++++++++++
 .../data/elephant_simple_hole.off             | 8091 ++++++++++++++++
 .../data/{w.off => w_horizontal_hole.off}     |    0
 .../data/w_orthogonal_hole.off                |  156 +
 .../triangulate_hole_with_cdt_2_test.cpp      |   76 +-
 6 files changed, 16505 insertions(+), 26 deletions(-)
 create mode 100644 Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_nonsimple_hole.off
 create mode 100644 Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_simple_hole.off
 rename Polygon_mesh_processing/test/Polygon_mesh_processing/data/{w.off => w_horizontal_hole.off} (100%)
 create mode 100644 Polygon_mesh_processing/test/Polygon_mesh_processing/data/w_orthogonal_hole.off

diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
index 47d106d1ec1..0a8a9bc5b09 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
@@ -101,7 +101,7 @@ endif()
   create_single_source_cgal_program("test_pmp_manifoldness.cpp")
   create_single_source_cgal_program("test_mesh_smoothing.cpp")
   create_single_source_cgal_program("test_remove_caps_needles.cpp")
-#  create_single_source_cgal_program("test_pmp_repair_self_intersections.cpp")
+  # create_single_source_cgal_program("test_pmp_repair_self_intersections.cpp")
   create_single_source_cgal_program("triangulate_hole_with_cdt_2_test.cpp")
 
   if( TBB_FOUND )
@@ -118,14 +118,14 @@ if(OpenMesh_FOUND)
   target_link_libraries( remeshing_test_P_SM_OM PRIVATE ${OPENMESH_LIBRARIES} )
 endif()
 
-find_package(Ceres QUIET)
-if(TARGET ceres)
-  target_compile_definitions( test_mesh_smoothing PRIVATE CGAL_PMP_USE_CERES_SOLVER )
-  target_link_libraries( test_mesh_smoothing PRIVATE ceres )
+# find_package(Ceres QUIET)
+# if(TARGET ceres)
+#   target_compile_definitions( test_mesh_smoothing PRIVATE CGAL_PMP_USE_CERES_SOLVER )
+#   target_link_libraries( test_mesh_smoothing PRIVATE ceres )
 
-#  target_compile_definitions( test_pmp_repair_self_intersections PRIVATE CGAL_PMP_USE_CERES_SOLVER )
-#  target_link_libraries( test_pmp_repair_self_intersections PRIVATE ceres )
-endif(TARGET ceres)
+# #  target_compile_definitions( test_pmp_repair_self_intersections PRIVATE CGAL_PMP_USE_CERES_SOLVER )
+# #  target_link_libraries( test_pmp_repair_self_intersections PRIVATE ceres )
+# endif(TARGET ceres)
 
 if(BUILD_TESTING)
   set_tests_properties(
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_nonsimple_hole.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_nonsimple_hole.off
new file mode 100644
index 00000000000..5498b839df5
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_nonsimple_hole.off
@@ -0,0 +1,8192 @@
+OFF
+2737 5453 0
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diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_simple_hole.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_simple_hole.off
new file mode 100644
index 00000000000..b4959a80fe6
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_simple_hole.off
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diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w_horizontal_hole.off
similarity index 100%
rename from Polygon_mesh_processing/test/Polygon_mesh_processing/data/w.off
rename to Polygon_mesh_processing/test/Polygon_mesh_processing/data/w_horizontal_hole.off
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w_orthogonal_hole.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w_orthogonal_hole.off
new file mode 100644
index 00000000000..e96ace9a51a
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/w_orthogonal_hole.off
@@ -0,0 +1,156 @@
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diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index eab4b75e39d..51fb0945478 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -4,8 +4,8 @@
 #include <cassert>
 #include <string>
 
-#include <CGAL/Polyhedron_3.h>
 #include <CGAL/Surface_mesh.h>
+#include <CGAL/Polyhedron_3.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
 #include <CGAL/Polygon_mesh_processing/triangulate_faces.h>
@@ -32,8 +32,9 @@ void detect_borders(
       Halfedge_around_facet_circulator done(hf_around_facet);
 
       do {
-        const bool insertion_ok = border_map.insert(*hf_around_facet).second;
-        assert(insertion_ok);
+        const bool is_insertion_ok =
+          border_map.insert(*hf_around_facet).second;
+        assert(is_insertion_ok);
       } while (++hf_around_facet != done);
     }
   }
@@ -42,32 +43,41 @@ void detect_borders(
 // This test is inspired by the issue: https://github.com/CGAL/cgal/issues/4464.
 template<
 typename PolygonMesh,
-typename GT>
+typename GeomTraits>
 void test_triangulate_hole_with_cdt_2(
   const std::string kernel_name,
-  int argc, char **argv, const bool save) {
+  int argc, char **argv,
+  const std::string file_name,
+  const std::size_t num_borders,
+  const std::size_t num_patch_faces,
+  const bool verbose) {
 
   typedef typename boost::graph_traits<PolygonMesh>::face_descriptor Face_handle;
   typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor Halfedge_handle;
 
   // Reading the file.
-  std::cout << "test with the " << kernel_name << " kernel:" << std::endl;
+  if (verbose)
+    std::cout << "test with the " << kernel_name << " kernel:" << std::endl;
   PolygonMesh pmesh;
-  std::string path = "data/w.off";
+  std::string path = "data/" + file_name + ".off";
   std::ifstream in(path.c_str(), std::ios_base::in);
   CGAL::set_ascii_mode(in);
   CGAL::read_off(in, pmesh);
   in.close();
-  std::cout << "* finished reading the file" << std::endl;
+  if (verbose)
+    std::cout << "* finished reading the file" << std::endl;
 
   // Detecting the hole borders.
   std::vector<Halfedge_handle> borders;
   detect_borders(pmesh, borders);
-  assert(borders.size() == 2);
+  if (verbose)
+    std::cout << "* number of detected borders: " <<
+      borders.size() << std::endl;
+  assert(borders.size() == num_borders);
 
   // Triangulating the holes.
   std::vector<Face_handle> patch_faces;
-  for (Halfedge_handle h : borders) {
+  for (const Halfedge_handle h : borders) {
     patch_faces.clear();
     CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2(
       pmesh,
@@ -75,19 +85,20 @@ void test_triangulate_hole_with_cdt_2(
       std::back_inserter(patch_faces),
       CGAL::Polygon_mesh_processing::parameters::vertex_point_map(
         get(CGAL::vertex_point, pmesh)).
-        geom_traits(GT()));
+        geom_traits(GeomTraits()));
 
-    assert(patch_faces.size() == 25);
-    std::cout << "* number of faces in the constructed patch: " <<
-      patch_faces.size() << std::endl;
+    if (verbose)
+      std::cout << "* number of faces in the constructed patch: " <<
+        patch_faces.size() << std::endl;
+    assert(patch_faces.size() == num_patch_faces);
   }
   assert(pmesh.is_valid() && is_closed(pmesh));
 
   // Writing the file.
-  if (save) {
+  if (verbose) {
     path = "";
     if (argc > 1) path = std::string(argv[1]);
-    path += "w-4464.off";
+    path += "4464_" + file_name + ".off";
     std::ofstream out(path.c_str(), std::ios_base::out);
     CGAL::set_ascii_mode(out);
     CGAL::write_off(out, pmesh);
@@ -104,8 +115,37 @@ int main(int argc, char **argv) {
   typedef CGAL::Surface_mesh<EI::Point_3> Surface_mesh_EI;
   typedef CGAL::Polyhedron_3<EE> Polyhedron_3_EE;
 
+  // Checking on a data file with two planar, simple, and horizontal holes.
   test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
-    "exact_inexact", argc, argv, false);
+    "exact_inexact", argc, argv, "w_horizontal_hole", 2, 25, false);
   test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
-    "exact_exact", argc, argv, true);
+    "exact_exact", argc, argv, "w_horizontal_hole", 2, 25, false);
+  std::cout <<
+    "test_triangulate_hole_with_cdt_2: horizontal hole SUCCESS" << std::endl;
+
+  // Checking on a data file with two planar, simple, and orthogonal holes.
+  test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
+    "exact_inexact", argc, argv, "w_orthogonal_hole", 2, 1, false);
+  test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
+    "exact_exact", argc, argv, "w_orthogonal_hole", 2, 1, false);
+  std::cout <<
+    "test_triangulate_hole_with_cdt_2: orthogonal hole SUCCESS" << std::endl;
+
+  // Checking on a data file with one simple but not a planar hole.
+  test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
+    "exact_inexact", argc, argv, "elephant_simple_hole", 1, 19, false);
+  test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
+    "exact_exact", argc, argv, "elephant_simple_hole", 1, 19, false);
+  std::cout <<
+    "test_triangulate_hole_with_cdt_2: simple hole SUCCESS" << std::endl;
+
+  // Checking on a data file with one hole that is neither simple nor planar.
+  test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
+    "exact_inexact", argc, argv, "elephant_nonsimple_hole", 1, 29, false);
+  test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
+    "exact_exact", argc, argv, "elephant_nonsimple_hole", 1, 29, false);
+  std::cout <<
+    "test_triangulate_hole_with_cdt_2: non simple hole SUCCESS" << std::endl;
+
+  return EXIT_SUCCESS;
 }

From 78b0715e1f74672540e51858b5fdc7a08bd6b59f Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 9 Jun 2020 10:31:56 +0200
Subject: [PATCH 035/317] unwanted comment removed

---
 .../test/Polygon_mesh_processing/CMakeLists.txt    | 14 +++++++-------
 1 file changed, 7 insertions(+), 7 deletions(-)

diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
index 0a8a9bc5b09..a39a1c71e32 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
@@ -118,14 +118,14 @@ if(OpenMesh_FOUND)
   target_link_libraries( remeshing_test_P_SM_OM PRIVATE ${OPENMESH_LIBRARIES} )
 endif()
 
-# find_package(Ceres QUIET)
-# if(TARGET ceres)
-#   target_compile_definitions( test_mesh_smoothing PRIVATE CGAL_PMP_USE_CERES_SOLVER )
-#   target_link_libraries( test_mesh_smoothing PRIVATE ceres )
+find_package(Ceres QUIET)
+if(TARGET ceres)
+  target_compile_definitions( test_mesh_smoothing PRIVATE CGAL_PMP_USE_CERES_SOLVER )
+  target_link_libraries( test_mesh_smoothing PRIVATE ceres )
 
-# #  target_compile_definitions( test_pmp_repair_self_intersections PRIVATE CGAL_PMP_USE_CERES_SOLVER )
-# #  target_link_libraries( test_pmp_repair_self_intersections PRIVATE ceres )
-# endif(TARGET ceres)
+#  target_compile_definitions( test_pmp_repair_self_intersections PRIVATE CGAL_PMP_USE_CERES_SOLVER )
+#  target_link_libraries( test_pmp_repair_self_intersections PRIVATE ceres )
+endif(TARGET ceres)
 
 if(BUILD_TESTING)
   set_tests_properties(

From 3e7e281f282a5ef9d8d9043ed35058d5c538e4b5 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 9 Jun 2020 12:21:00 +0200
Subject: [PATCH 036/317] is_simple_2 can be omitted when using
 triangulate_face_with_cdt

---
 .../Polygon_mesh_processing/triangulate_faces.h  | 16 ++++++++++++----
 .../triangulate_hole_with_cdt_2_test.cpp         |  2 ++
 2 files changed, 14 insertions(+), 4 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
index 49100398d31..02dc6b163a5 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
@@ -701,9 +701,9 @@ OutputIterator triangulate_hole_with_cdt_2(
   const P_traits p_traits(avg_normal);
   const bool is_simple =
     is_simple_2(polyline_3d.begin(), polyline_3d.end(), p_traits);
-  if (!is_simple)
-    return triangulate_hole(
-      pmesh, border_halfedge, out, np);
+  // if (!is_simple) // temporarily removed
+  //   return triangulate_hole(
+  //     pmesh, border_halfedge, out, np);
 
   // Adding the new face.
   typedef typename boost::graph_traits<PolygonMesh>::face_descriptor face_descriptor;
@@ -718,7 +718,15 @@ OutputIterator triangulate_hole_with_cdt_2(
   internal::Triangulate_modifier<PolygonMesh, VPM, Traits> modifier(vpm, traits);
   const bool success_with_cdt_2 =
     modifier.triangulate_face(new_face, pmesh, use_cdt, out);
-  CGAL_assertion(success_with_cdt_2);
+
+  if (!success_with_cdt_2) {
+    remove_face(new_face, pmesh);
+    do {
+      set_face(*circ, boost::graph_traits<PolygonMesh>::null_face(), pmesh);
+    } while (++circ != done);
+    return triangulate_hole(
+      pmesh, border_halfedge, out, np);
+  }
 
   #endif
   return out;
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index 51fb0945478..17904efcbec 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -4,6 +4,8 @@
 #include <cassert>
 #include <string>
 
+#define CGAL_NO_CDT_2_WARNING
+
 #include <CGAL/Surface_mesh.h>
 #include <CGAL/Polyhedron_3.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>

From 4921230f4555d49b8aa8c59f29093a9b3a19746a Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 25 Jun 2020 15:19:18 +0200
Subject: [PATCH 037/317] WIP hole_filling_polyline_with_cdt

---
 .../CGAL/boost/graph/parameters_interface.h   |   1 +
 BGL/test/BGL/test_cgal_bgl_named_params.cpp   |   3 +
 .../Hole_filling/Triangulate_hole_polyline.h  | 154 +++++++++++++++++-
 .../triangulate_hole.h                        |  22 ++-
 .../triangulate_hole_polyline_test.cpp        |   9 +-
 5 files changed, 183 insertions(+), 6 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/parameters_interface.h b/BGL/include/CGAL/boost/graph/parameters_interface.h
index 45aa9e56725..9f084c48844 100644
--- a/BGL/include/CGAL/boost/graph/parameters_interface.h
+++ b/BGL/include/CGAL/boost/graph/parameters_interface.h
@@ -47,6 +47,7 @@ CGAL_add_named_parameter(geom_traits_t, geom_traits, geom_traits)
 CGAL_add_named_parameter(vertex_incident_patches_t, vertex_incident_patches, vertex_incident_patches_map)
 CGAL_add_named_parameter(density_control_factor_t, density_control_factor, density_control_factor)
 CGAL_add_named_parameter(use_delaunay_triangulation_t, use_delaunay_triangulation, use_delaunay_triangulation)
+CGAL_add_named_parameter(use_2d_constrained_delaunay_triangulation_t, use_2d_constrained_delaunay_triangulation, use_2d_constrained_delaunay_triangulation)
 CGAL_add_named_parameter(fairing_continuity_t, fairing_continuity, fairing_continuity)
 CGAL_add_named_parameter(sparse_linear_solver_t, sparse_linear_solver, sparse_linear_solver)
 CGAL_add_named_parameter(number_of_relaxation_steps_t, number_of_relaxation_steps, number_of_relaxation_steps)
diff --git a/BGL/test/BGL/test_cgal_bgl_named_params.cpp b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
index 1d65c3cd1c2..e755d266646 100644
--- a/BGL/test/BGL/test_cgal_bgl_named_params.cpp
+++ b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
@@ -58,6 +58,7 @@ void test(const NamedParameters& np)
   assert(get_parameter(np, CGAL::internal_np::vertex_incident_patches).v == 11);
   assert(get_parameter(np, CGAL::internal_np::density_control_factor).v == 12);
   assert(get_parameter(np, CGAL::internal_np::use_delaunay_triangulation).v == 13);
+  assert(get_parameter(np, CGAL::internal_np::use_2d_constrained_delaunay_triangulation).v == 4573);
   assert(get_parameter(np, CGAL::internal_np::fairing_continuity).v == 14);
   assert(get_parameter(np, CGAL::internal_np::sparse_linear_solver).v == 15);
   assert(get_parameter(np, CGAL::internal_np::number_of_relaxation_steps).v == 16);
@@ -152,6 +153,7 @@ void test(const NamedParameters& np)
   check_same_type<11>(get_parameter(np, CGAL::internal_np::vertex_incident_patches));
   check_same_type<12>(get_parameter(np, CGAL::internal_np::density_control_factor));
   check_same_type<13>(get_parameter(np, CGAL::internal_np::use_delaunay_triangulation));
+  check_same_type<4573>(get_parameter(np, CGAL::internal_np::use_2d_constrained_delaunay_triangulation));
   check_same_type<14>(get_parameter(np, CGAL::internal_np::fairing_continuity));
   check_same_type<15>(get_parameter(np, CGAL::internal_np::sparse_linear_solver));
   check_same_type<16>(get_parameter(np, CGAL::internal_np::number_of_relaxation_steps));
@@ -290,6 +292,7 @@ int main()
                          .vertex_incident_patches_map(A<11>(11))
                          .density_control_factor(A<12>(12))
                          .use_delaunay_triangulation(A<13>(13))
+                         .use_2d_constrained_delaunay_triangulation(A<4573>(4573))
                          .fairing_continuity(A<14>(14))
                          .sparse_linear_solver(A<15>(15))
                          .number_of_relaxation_steps(A<16>(16))
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 2fc28eec9a6..beade9d961a 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -22,6 +22,15 @@
 #include <CGAL/Delaunay_triangulation_cell_base_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_3.h>
 #endif
+
+#ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+#include <CGAL/Triangulation_vertex_base_with_info_2.h>
+#include <CGAL/Triangulation_face_base_with_info_2.h>
+#include <CGAL/Constrained_Delaunay_triangulation_2.h>
+#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <queue>
+#endif
+
 #include <CGAL/utility.h>
 #include <CGAL/iterator.h>
 #include <CGAL/use.h>
@@ -1194,7 +1203,150 @@ public:
   }
 };
 
-/***********************************************************************************
+#ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+/************************************************************************
+ * Triangulate hole by using a cdt_2
+ ************************************************************************/
+// /!\ points.first == points.last
+// \todo poitns.size() should only be computed once
+
+template <
+  typename PointRange, //need size()
+  typename Tracer,
+  typename Traits
+>
+bool
+triangulate_hole_polyline_with_cdt(const PointRange& points,
+                          Tracer& tracer,
+                          const Traits& traits)
+{
+  typedef typename Traits::FT FT;
+  typedef typename Traits::Point_3 Point_3;
+  typedef typename Traits::Vector_3 Vector_3;
+  typedef typename Traits::Collinear_3 Collinear_3;
+  typedef typename Traits::Compute_squared_length_3 Squared_length_3;
+
+  // Compute an average normal of the hole.
+  const Squared_length_3 squared_length_3 =
+    traits.compute_squared_length_3_object();
+  const Collinear_3 collinear_3 =
+    traits.collinear_3_object();
+
+  FT x = FT(0), y = FT(0), z = FT(0);
+  std::size_t num_normals = 0;
+  const Point_3& ref_point = points[0];
+  for (std::size_t i = 1; i < points.size() - 1; ++i) {
+    const std::size_t ip = i + 1;
+
+    const Point_3& p1 = ref_point; // 3 points, which form a triangle
+    const Point_3& p2 = points[i];
+    const Point_3& p3 = points[ip];
+
+    // Skip in case we have collinear points.
+    if (collinear_3(p1, p2, p3))
+      continue;
+
+    // Computing the normal of a triangle.
+    Vector_3 tri_normal = CGAL::normal(p1, p2, p3);
+    const FT tri_normal_length = static_cast<FT>(
+      CGAL::sqrt(CGAL::to_double(squared_length_3(tri_normal))));
+    if(tri_normal_length <= FT(0))
+      return false;
+    tri_normal /= tri_normal_length;
+
+    x += tri_normal.x(); y += tri_normal.y(); z += tri_normal.z();
+    ++num_normals;
+  }
+
+  if(num_normals < 1)
+    return false;
+  x /= static_cast<FT>(num_normals);
+  y /= static_cast<FT>(num_normals);
+  z /= static_cast<FT>(num_normals);
+
+  // Setting the final normal.
+  const Vector_3 normal = Vector_3(x, y, z);
+  const FT normal_length = static_cast<FT>(
+    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
+  const Vector_3 avg_normal = normal / normal_length;
+
+  // Checking the hole simplicity.
+  typedef Triangulation_2_projection_traits_3<Traits> P_traits;
+  const P_traits p_traits(avg_normal);
+  if(!is_simple_2(points.begin(), points.end()-1, p_traits))
+     return false;
+
+  Lookup_table_map<int> lambda(static_cast<int>(points.size())-1,-1);
+  //Create and fill the cdt_2
+  typedef CGAL::Triangulation_vertex_base_with_info_2<std::size_t, P_traits> Vb;
+  typedef CGAL::Triangulation_face_base_with_info_2<bool, P_traits>          Fb1;
+  typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fb1>         Fb;
+  typedef CGAL::Triangulation_data_structure_2<Vb,Fb>                        TDS;
+  typedef CGAL::Exact_intersections_tag                                      Itag;
+  typedef CGAL::Constrained_Delaunay_triangulation_2<P_traits, TDS, Itag>    CDT;
+  P_traits cdt_traits(normal);
+  CDT cdt(cdt_traits);
+
+  std::vector< std::pair<Point_3,std::size_t> > points_and_ids;
+  for(std::size_t i =0; i< points.size()-1; ++i)
+    points_and_ids.push_back( std::make_pair(points[i],i));
+
+  cdt.insert(points_and_ids.begin(), points_and_ids.end());
+  cdt.insert_constraint(points.begin(), points.end());
+
+  // sets mark is_external
+  for(typename CDT::All_faces_iterator fit = cdt.all_faces_begin(),
+        end = cdt.all_faces_end();
+      fit != end; ++fit)
+  {
+    fit->info() = false;
+  }
+  std::queue<typename CDT::Face_handle> face_queue;
+  face_queue.push(cdt.infinite_vertex()->face());
+  while(! face_queue.empty() )
+  {
+    typename CDT::Face_handle fh = face_queue.front();
+    face_queue.pop();
+
+    if(fh->info())
+      continue;
+
+    fh->info() = true;
+    for(int i = 0; i <3; ++i)
+    {
+      if(!cdt.is_constrained(typename CDT::Edge(fh, i)))
+      {
+        face_queue.push(fh->neighbor(i));
+      }
+    }
+  }
+  if(cdt.dimension() != 2 ||
+     cdt.number_of_vertices() != points.size()-1)
+    return false;
+
+  //fill the lambda
+  for(typename CDT::Finite_faces_iterator fit = cdt.finite_faces_begin(),
+        end = cdt.finite_faces_end();
+      fit != end; ++fit)
+  {
+    if(!fit->info())//if ! is external
+    {
+      std::vector<std::size_t> is(3);
+      for(int i=0; i<3; ++i)
+      {
+        is[i] = fit->vertex(i)->info();
+      }
+      std::sort(is.begin(), is.end());
+      lambda.put(is[0],is[2], is[1]);
+    }
+  }
+
+  //call the tracer
+  tracer(lambda, 0, points.size()-2);
+  return true;
+}
+#endif
+/*******************************************************************************
  * Internal entry point for both polyline and Polyhedron_3 triangulation functions
  ***********************************************************************************/
 template <
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 350cfec4901..17373598d5d 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -325,6 +325,9 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true`, use the constrained Delaunay triangulation
+     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
+         original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
   \cgalNamedParamsEnd
 
@@ -343,7 +346,13 @@ namespace Polygon_mesh_processing {
     using parameters::choose_parameter;
     using parameters::get_parameter;
 
-    bool use_dt3 =
+    bool use_cdt =
+#ifdef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+      false;
+#else
+      choose_parameter(get_parameter(np, internal_np::use_2d_constrained_delaunay_triangulation), true);
+#endif
+bool use_dt3 =
 #ifdef CGAL_HOLE_FILLING_DO_NOT_USE_DT3
       false;
 #else
@@ -365,10 +374,19 @@ namespace Polygon_mesh_processing {
     typedef typename PointRange1::iterator InIterator;
     typedef typename std::iterator_traits<InIterator>::value_type Point;
     typedef typename CGAL::Kernel_traits<Point>::Kernel Kernel;
-
+//#ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+    if(!use_cdt ||
+       !triangulate_hole_polyline_with_cdt(
+         points,
+         tracer,
+         choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))
+    {
+      std::cerr<<"<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< FAIL ! <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<"<<std::endl;
+//#endif
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,
                               choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)));
+    }
 
     CGAL_assertion(holes.empty());
     return tracer.out;
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_polyline_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_polyline_test.cpp
index 85af1d83e5c..a3243deb085 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_polyline_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_polyline_test.cpp
@@ -150,7 +150,8 @@ void test_1(const char* file_name, bool use_DT, bool save_output) {
   std::vector<boost::tuple<int, int, int> > tris;
   CGAL::Polygon_mesh_processing::triangulate_hole_polyline(
     points, std::back_inserter(tris),
-    CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(use_DT));
+    CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(use_DT)
+        .use_2d_constrained_delaunay_triangulation(true));
 
   check_triangles(points, tris);
   check_constructed_polyhedron(file_name, &tris, &points, save_output);
@@ -168,7 +169,8 @@ void test_2(const char* file_name, bool use_DT, bool save_output) {
   std::vector<boost::tuple<int, int, int> > tris;
   CGAL::Polygon_mesh_processing::triangulate_hole_polyline(
     points, extras, std::back_inserter(tris),
-    CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(use_DT));
+    CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(use_DT)
+        .use_2d_constrained_delaunay_triangulation(true));
 
   check_triangles(points, tris);
   check_constructed_polyhedron(file_name, &tris, &points, save_output);
@@ -185,7 +187,8 @@ void test_should_be_no_output(const char* file_name, bool use_DT) {
   std::vector<boost::tuple<int, int, int> > tris;
   CGAL::Polygon_mesh_processing::triangulate_hole_polyline(
     points, std::back_inserter(tris),
-    CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(use_DT));
+    CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(use_DT)
+        .use_2d_constrained_delaunay_triangulation(true));
 
   if(!tris.empty()) {
     std::cerr << "  Error: patch should be empty" << std::endl;

From 2b4dd26d225a98a7fab7c397d382009ca9f7a4a0 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 26 Jun 2020 10:47:13 +0200
Subject: [PATCH 038/317] use indices for constraints

---
 .../Hole_filling/Triangulate_hole_polyline.h         | 12 +++++++++++-
 .../CGAL/Polygon_mesh_processing/triangulate_hole.h  |  7 ++-----
 2 files changed, 13 insertions(+), 6 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index beade9d961a..fb02aa89c68 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1252,6 +1252,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
       CGAL::sqrt(CGAL::to_double(squared_length_3(tri_normal))));
     if(tri_normal_length <= FT(0))
       return false;
+
     tri_normal /= tri_normal_length;
 
     x += tri_normal.x(); y += tri_normal.y(); z += tri_normal.z();
@@ -1260,6 +1261,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
 
   if(num_normals < 1)
     return false;
+
   x /= static_cast<FT>(num_normals);
   y /= static_cast<FT>(num_normals);
   z /= static_cast<FT>(num_normals);
@@ -1288,11 +1290,17 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   CDT cdt(cdt_traits);
 
   std::vector< std::pair<Point_3,std::size_t> > points_and_ids;
+  std::vector<std::pair<std::size_t, std::size_t> > indices;
   for(std::size_t i =0; i< points.size()-1; ++i)
+  {
     points_and_ids.push_back( std::make_pair(points[i],i));
+    indices.push_back(std::make_pair(i, (i+1)%points.size()));
+  }
 
   cdt.insert(points_and_ids.begin(), points_and_ids.end());
-  cdt.insert_constraint(points.begin(), points.end());
+  cdt.insert_constraints(points.begin(), points.end(),
+                         indices.begin(), indices.end() );
+
 
   // sets mark is_external
   for(typename CDT::All_faces_iterator fit = cdt.all_faces_begin(),
@@ -1322,7 +1330,9 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   }
   if(cdt.dimension() != 2 ||
      cdt.number_of_vertices() != points.size()-1)
+  {
     return false;
+  }
 
   //fill the lambda
   for(typename CDT::Finite_faces_iterator fit = cdt.finite_faces_begin(),
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 17373598d5d..1a557d481f9 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -374,19 +374,16 @@ bool use_dt3 =
     typedef typename PointRange1::iterator InIterator;
     typedef typename std::iterator_traits<InIterator>::value_type Point;
     typedef typename CGAL::Kernel_traits<Point>::Kernel Kernel;
-//#ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+#ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
     if(!use_cdt ||
        !triangulate_hole_polyline_with_cdt(
          points,
          tracer,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))
-    {
-      std::cerr<<"<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< FAIL ! <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<"<<std::endl;
-//#endif
+#endif
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,
                               choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)));
-    }
 
     CGAL_assertion(holes.empty());
     return tracer.out;

From e592ed17846237d6af261f1a8eb16b3fd2062702 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 26 Jun 2020 11:45:26 +0200
Subject: [PATCH 039/317] Fix constraints

---
 .../Hole_filling/Triangulate_hole_polyline.h  | 30 ++++++++++++-------
 .../triangulate_hole.h                        |  2 ++
 2 files changed, 21 insertions(+), 11 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index fb02aa89c68..4c20653cfcd 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1208,7 +1208,7 @@ public:
  * Triangulate hole by using a cdt_2
  ************************************************************************/
 // /!\ points.first == points.last
-// \todo poitns.size() should only be computed once
+
 
 template <
   typename PointRange, //need size()
@@ -1235,7 +1235,8 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   FT x = FT(0), y = FT(0), z = FT(0);
   std::size_t num_normals = 0;
   const Point_3& ref_point = points[0];
-  for (std::size_t i = 1; i < points.size() - 1; ++i) {
+  std::size_t size = points.size()-1;
+  for (std::size_t i = 1; i < size; ++i) {
     const std::size_t ip = i + 1;
 
     const Point_3& p1 = ref_point; // 3 points, which form a triangle
@@ -1278,7 +1279,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   if(!is_simple_2(points.begin(), points.end()-1, p_traits))
      return false;
 
-  Lookup_table_map<int> lambda(static_cast<int>(points.size())-1,-1);
+  Lookup_table_map<int> lambda(static_cast<int>(size),-1);
   //Create and fill the cdt_2
   typedef CGAL::Triangulation_vertex_base_with_info_2<std::size_t, P_traits> Vb;
   typedef CGAL::Triangulation_face_base_with_info_2<bool, P_traits>          Fb1;
@@ -1290,16 +1291,23 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   CDT cdt(cdt_traits);
 
   std::vector< std::pair<Point_3,std::size_t> > points_and_ids;
-  std::vector<std::pair<std::size_t, std::size_t> > indices;
-  for(std::size_t i =0; i< points.size()-1; ++i)
+  std::vector<typename CDT::Vertex_handle> vertices(size);
+  for(std::size_t i =0; i< size; ++i)
   {
     points_and_ids.push_back( std::make_pair(points[i],i));
-    indices.push_back(std::make_pair(i, (i+1)%points.size()));
+  }
+  cdt.insert(points_and_ids.begin(), points_and_ids.end());
+  for (typename CDT::Vertex_handle v : cdt.finite_vertex_handles())
+  {
+    vertices[v->info()] = v;
   }
 
-  cdt.insert(points_and_ids.begin(), points_and_ids.end());
-  cdt.insert_constraints(points.begin(), points.end(),
-                         indices.begin(), indices.end() );
+  for(std::size_t i = 0; i<size; ++i)
+  {
+    cdt.insert_constraint(vertices[i], vertices[(i+1)%(size)]);
+  }
+  //cdt.insert_constraints(points.begin(), points.end(),
+  //                       indices.begin(), indices.end() );
 
 
   // sets mark is_external
@@ -1329,7 +1337,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     }
   }
   if(cdt.dimension() != 2 ||
-     cdt.number_of_vertices() != points.size()-1)
+     cdt.number_of_vertices() != size)
   {
     return false;
   }
@@ -1352,7 +1360,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   }
 
   //call the tracer
-  tracer(lambda, 0, points.size()-2);
+  tracer(lambda, 0, size - 1);
   return true;
 }
 #endif
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 1a557d481f9..edce26c2a1b 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -381,9 +381,11 @@ bool use_dt3 =
          tracer,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))
 #endif
+    {
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,
                               choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)));
+    }
 
     CGAL_assertion(holes.empty());
     return tracer.out;

From 5c8b23987632e5319f6ba97aa0fea9f387a54d7f Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 26 Jun 2020 14:17:04 +0200
Subject: [PATCH 040/317] WIP fixes for triangulate_hole_polygon_mesh

---
 .../Triangulate_hole_polygon_mesh.h           | 10 +++++++++-
 .../Hole_filling/Triangulate_hole_polyline.h  | 20 +++++++++++--------
 .../triangulate_hole.h                        | 15 ++++++++++----
 .../triangulate_hole_Polyhedron_3_test.cpp    |  7 ++++---
 4 files changed, 36 insertions(+), 16 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index f558eb76e68..f6536ec7a2e 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -94,7 +94,8 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
             OutputIterator out,
             VertexPointMap vpmap,
             bool use_delaunay_triangulation,
-            const Kernel& k)
+            const Kernel& k,
+            const bool use_cdt)
 {
   typedef Halfedge_around_face_circulator<PolygonMesh>   Hedge_around_face_circulator;
   typedef typename boost::graph_traits<PolygonMesh>::vertex_descriptor vertex_descriptor;
@@ -173,6 +174,13 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
   // fill hole using polyline function, with custom tracer for PolygonMesh
   Tracer_polyhedron<PolygonMesh, OutputIterator>
     tracer(out, pmesh, P_edges);
+
+#ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, k))
+    {
+      return std::make_pair(tracer.out, CGAL::internal::Weight_min_max_dihedral_and_area(0,0));
+    }
+#endif
   CGAL::internal::Weight_min_max_dihedral_and_area weight =
     triangulate_hole_polyline(P, Q, tracer, WC(is_valid),
       use_delaunay_triangulation, k)
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 4c20653cfcd..09c87423726 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1232,16 +1232,21 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   const Collinear_3 collinear_3 =
     traits.collinear_3_object();
 
+  std::vector<Point_3> P(boost::begin(points), boost::end(points));
+  if(P.front() != P.back()){
+    P.push_back(P.front());
+  }
+
   FT x = FT(0), y = FT(0), z = FT(0);
   std::size_t num_normals = 0;
-  const Point_3& ref_point = points[0];
-  std::size_t size = points.size()-1;
+  const Point_3& ref_point = P[0];
+  std::size_t size = P.size()-1;
   for (std::size_t i = 1; i < size; ++i) {
     const std::size_t ip = i + 1;
 
     const Point_3& p1 = ref_point; // 3 points, which form a triangle
-    const Point_3& p2 = points[i];
-    const Point_3& p3 = points[ip];
+    const Point_3& p2 = P[i];
+    const Point_3& p3 = P[ip];
 
     // Skip in case we have collinear points.
     if (collinear_3(p1, p2, p3))
@@ -1276,9 +1281,10 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   // Checking the hole simplicity.
   typedef Triangulation_2_projection_traits_3<Traits> P_traits;
   const P_traits p_traits(avg_normal);
-  if(!is_simple_2(points.begin(), points.end()-1, p_traits))
+  if(!is_simple_2(P.begin(), P.end()-1, p_traits))
      return false;
 
+
   Lookup_table_map<int> lambda(static_cast<int>(size),-1);
   //Create and fill the cdt_2
   typedef CGAL::Triangulation_vertex_base_with_info_2<std::size_t, P_traits> Vb;
@@ -1294,7 +1300,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   std::vector<typename CDT::Vertex_handle> vertices(size);
   for(std::size_t i =0; i< size; ++i)
   {
-    points_and_ids.push_back( std::make_pair(points[i],i));
+    points_and_ids.push_back( std::make_pair(P[i],i));
   }
   cdt.insert(points_and_ids.begin(), points_and_ids.end());
   for (typename CDT::Vertex_handle v : cdt.finite_vertex_handles())
@@ -1306,8 +1312,6 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   {
     cdt.insert_constraint(vertices[i], vertices[(i+1)%(size)]);
   }
-  //cdt.insert_constraints(points.begin(), points.end(),
-  //                       indices.begin(), indices.end() );
 
 
   // sets mark is_external
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index edce26c2a1b..c499741fa6c 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -64,6 +64,9 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
+     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
+         original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
   \cgalNamedParamsEnd
 
@@ -99,13 +102,19 @@ namespace Polygon_mesh_processing {
 #endif
 
     CGAL_precondition(face(border_halfedge, pmesh) == boost::graph_traits<PolygonMesh>::null_face());
+    bool use_cdt =
+    #ifdef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+        false;
+#else
+        choose_parameter(get_parameter(np, internal_np::use_2d_constrained_delaunay_triangulation), true);
+#endif
 
     return internal::triangulate_hole_polygon_mesh(pmesh,
       border_halfedge,
       out,
       choose_parameter(get_parameter(np, internal_np::vertex_point), get_property_map(vertex_point, pmesh)),
       use_dt3,
-      choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits))).first;
+      choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits)),use_cdt).first;
   }
 
   template<typename PolygonMesh, typename OutputIterator>
@@ -325,7 +334,7 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true`, use the constrained Delaunay triangulation
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
      to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
          original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
@@ -381,11 +390,9 @@ bool use_dt3 =
          tracer,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))
 #endif
-    {
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,
                               choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)));
-    }
 
     CGAL_assertion(holes.empty());
     return tracer.out;
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
index 6f549fcb8b5..d8b607d6bb1 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
@@ -109,7 +109,7 @@ void test_triangulate_hole_weight(const char* file_name, bool use_DT, std::size_
   for(std::vector<Halfedge_handle>::iterator it = border_reps.begin(); it != border_reps.end(); ++it) {
     std::vector<Facet_handle> patch;
     Weight w_algo = CGAL::Polygon_mesh_processing::internal::triangulate_hole_polygon_mesh(
-      poly, *it, back_inserter(patch), get(CGAL::vertex_point, poly), use_DT, Kernel()).second;
+      poly, *it, back_inserter(patch), get(CGAL::vertex_point, poly), use_DT, Kernel(), false).second; //todo test with and without cdt
     if(patch.empty()) { continue; }
     Weight w_test = calculate_weight_for_patch(poly, patch.begin(), patch.end());
 
@@ -256,6 +256,7 @@ void test_ouput_iterators_triangulate_hole(const char* file_name) {
     if(patch.size() != (std::size_t)(output_it - &*patch_2.begin())) {
       std::cerr << "  Error: returned facet output iterator is not valid!" << std::endl;
       std::cerr << "  " << patch.size() << " vs " << (output_it - &*patch_2.begin()) << std::endl;
+
       assert(false);
     }
   }
@@ -359,7 +360,7 @@ void generate_elephant_with_hole()
 
 int main() {
   generate_elephant_with_hole();
-
+/*
   std::vector<std::string> input_files;
   input_files.push_back("elephant_triangle_hole.off");
   input_files.push_back("elephant_quad_hole.off");
@@ -375,7 +376,7 @@ int main() {
     test_triangulate_hole_weight(it->c_str(), false, 0);
     std::cout << "------------------------------------------------" << std::endl;
   }
-
+*/
   test_triangulate_hole_should_be_no_output("data/non_manifold_vertex.off");
   test_triangulate_hole_should_be_no_output("data/two_tris_collinear.off");
 

From 3d7aa243b8dac0254fe234ecbce813253f3e8dec Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 26 Jun 2020 14:31:54 +0200
Subject: [PATCH 041/317] WIP

---
 .../triangulate_hole_Polyhedron_3_test.cpp                     | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
index d8b607d6bb1..fef13c98727 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
@@ -163,7 +163,8 @@ void test_triangulate_hole_should_be_no_output(const char* file_name) {
   for(std::vector<Halfedge_handle>::iterator it = border_reps.begin(); it != border_reps.end(); ++it) {
     std::vector<Facet_handle> patch;
     CGAL::Polygon_mesh_processing::triangulate_hole(poly, *it, back_inserter(patch),
-      CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(false));
+      CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(false)
+        .use_2d_constrained_delaunay_triangulation(false));
     if(!patch.empty()) {
       std::cerr << "  Error: patch should be empty" << std::endl;
       assert(false);

From b91ba7f6c8d4b6e98ad07e20281c14455e47d5eb Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 29 Jun 2020 11:29:28 +0200
Subject: [PATCH 042/317] Add a check for validity to the polygon_mesh function

---
 .../internal/Hole_filling/Triangulate_hole_polygon_mesh.h  | 2 +-
 .../internal/Hole_filling/Triangulate_hole_polyline.h      | 4 ++++
 .../CGAL/Polygon_mesh_processing/triangulate_hole.h        | 7 +++++++
 .../triangulate_hole_Polyhedron_3_test.cpp                 | 5 ++---
 4 files changed, 14 insertions(+), 4 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index f6536ec7a2e..cba88c6c27f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -176,7 +176,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
     tracer(out, pmesh, P_edges);
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
-    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, k))
+    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k))
     {
       return std::make_pair(tracer.out, CGAL::internal::Weight_min_max_dihedral_and_area(0,0));
     }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 09c87423726..90d81d16125 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1213,11 +1213,13 @@ public:
 template <
   typename PointRange, //need size()
   typename Tracer,
+  typename Validity_checker,
   typename Traits
 >
 bool
 triangulate_hole_polyline_with_cdt(const PointRange& points,
                           Tracer& tracer,
+                          const Validity_checker& is_valid,
                           const Traits& traits)
 {
   typedef typename Traits::FT FT;
@@ -1360,6 +1362,8 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
       }
       std::sort(is.begin(), is.end());
       lambda.put(is[0],is[2], is[1]);
+      if(!is_valid(P,is[0],is[1],is[2]))
+        return false;
     }
   }
 
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index c499741fa6c..e247ee1c4aa 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -384,10 +384,17 @@ bool use_dt3 =
     typedef typename std::iterator_traits<InIterator>::value_type Point;
     typedef typename CGAL::Kernel_traits<Point>::Kernel Kernel;
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+    struct Always_valid{
+      bool operator()(std::vector<Point>&, int,int,int)
+      {return true;}
+    };
+    Always_valid is_valid;
+
     if(!use_cdt ||
        !triangulate_hole_polyline_with_cdt(
          points,
          tracer,
+         is_valid,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))
 #endif
     triangulate_hole_polyline(points, third_points, tracer, WC(),
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
index fef13c98727..10ab39f28fe 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
@@ -109,7 +109,7 @@ void test_triangulate_hole_weight(const char* file_name, bool use_DT, std::size_
   for(std::vector<Halfedge_handle>::iterator it = border_reps.begin(); it != border_reps.end(); ++it) {
     std::vector<Facet_handle> patch;
     Weight w_algo = CGAL::Polygon_mesh_processing::internal::triangulate_hole_polygon_mesh(
-      poly, *it, back_inserter(patch), get(CGAL::vertex_point, poly), use_DT, Kernel(), false).second; //todo test with and without cdt
+      poly, *it, back_inserter(patch), get(CGAL::vertex_point, poly), use_DT, Kernel(), false).second;
     if(patch.empty()) { continue; }
     Weight w_test = calculate_weight_for_patch(poly, patch.begin(), patch.end());
 
@@ -361,7 +361,6 @@ void generate_elephant_with_hole()
 
 int main() {
   generate_elephant_with_hole();
-/*
   std::vector<std::string> input_files;
   input_files.push_back("elephant_triangle_hole.off");
   input_files.push_back("elephant_quad_hole.off");
@@ -369,6 +368,7 @@ int main() {
   // std::cerr.precision(15);
   for(std::vector<std::string>::iterator it = input_files.begin(); it != input_files.end(); ++it) {
     test_triangulate_hole(it->c_str());
+    //todo: add the np to triangulate_and_refine()
     test_triangulate_and_refine_hole(it->c_str());
     test_triangulate_refine_and_fair_hole(it->c_str());
     test_ouput_iterators_triangulate_and_refine_hole(it->c_str());
@@ -377,7 +377,6 @@ int main() {
     test_triangulate_hole_weight(it->c_str(), false, 0);
     std::cout << "------------------------------------------------" << std::endl;
   }
-*/
   test_triangulate_hole_should_be_no_output("data/non_manifold_vertex.off");
   test_triangulate_hole_should_be_no_output("data/two_tris_collinear.off");
 

From 9625ed881acf349068916850ee2dabe4b7cb5f6a Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 29 Jun 2020 11:51:54 +0200
Subject: [PATCH 043/317] add NPs and tests

---
 .../triangulate_hole.h                        |  6 ++
 .../triangulate_hole_Polyhedron_3_test.cpp    | 58 +++++++++++--------
 2 files changed, 41 insertions(+), 23 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index e247ee1c4aa..db8db64c0c0 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -169,6 +169,9 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
+     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
+         original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
   \cgalNamedParamsEnd
 
@@ -238,6 +241,9 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
+     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
+         original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{density_control_factor} factor to control density of the ouput mesh, where larger values
          cause denser refinements, as in `refine()` \cgalParamEnd
      \cgalParamBegin{fairing_continuity} tangential continuity of the output surface patch \cgalParamEnd
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
index 10ab39f28fe..5796282cf22 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
@@ -97,7 +97,7 @@ CGAL::internal::Weight_min_max_dihedral_and_area
 }
 
 
-void test_triangulate_hole_weight(const char* file_name, bool use_DT, std::size_t nb_remaining_holes) {
+void test_triangulate_hole_weight(const char* file_name, bool use_DT, std::size_t nb_remaining_holes) { //don't test with cdt as we are testing the weights and there is no weight in the cdt version
   typedef CGAL::internal::Weight_min_max_dihedral_and_area Weight;
 
   std::cout << "test_triangulate_hole_weight + useDT: " << use_DT << std::endl;
@@ -129,7 +129,7 @@ void test_triangulate_hole_weight(const char* file_name, bool use_DT, std::size_
 }
 /******************************************************************/
 
-void test_triangulate_hole(const char* file_name) {
+void test_triangulate_hole(const char* file_name, bool use_cdt) {
   std::cout << "test_triangulate_hole:" << std::endl;
   std::cout << "  File: "<< file_name  << std::endl;
   Polyhedron poly;
@@ -138,7 +138,8 @@ void test_triangulate_hole(const char* file_name) {
 
   for(std::vector<Halfedge_handle>::iterator it = border_reps.begin(); it != border_reps.end(); ++it) {
     std::vector<Facet_handle> patch;
-    CGAL::Polygon_mesh_processing::triangulate_hole(poly, *it, back_inserter(patch));
+    CGAL::Polygon_mesh_processing::triangulate_hole(poly, *it, back_inserter(patch),
+                                                    CGAL::parameters::use_2d_constrained_delaunay_triangulation(use_cdt));
     if(patch.empty()) {
       std::cerr << "  Error: empty patch created." << std::endl;
       assert(false);
@@ -153,7 +154,7 @@ void test_triangulate_hole(const char* file_name) {
   std::cout << "  Done!" << std::endl;
 }
 
-void test_triangulate_hole_should_be_no_output(const char* file_name) {
+void test_triangulate_hole_should_be_no_output(const char* file_name, bool use_cdt) {
   std::cout << "test_triangulate_hole_should_be_no_output:" << std::endl;
   std::cout << "  File: "<< file_name  << std::endl;
   Polyhedron poly;
@@ -164,7 +165,7 @@ void test_triangulate_hole_should_be_no_output(const char* file_name) {
     std::vector<Facet_handle> patch;
     CGAL::Polygon_mesh_processing::triangulate_hole(poly, *it, back_inserter(patch),
       CGAL::Polygon_mesh_processing::parameters::use_delaunay_triangulation(false)
-        .use_2d_constrained_delaunay_triangulation(false));
+        .use_2d_constrained_delaunay_triangulation(use_cdt));
     if(!patch.empty()) {
       std::cerr << "  Error: patch should be empty" << std::endl;
       assert(false);
@@ -181,7 +182,7 @@ void test_triangulate_hole_should_be_no_output(const char* file_name) {
   std::cout << "  Done!" << std::endl;
 }
 
-void test_triangulate_and_refine_hole(const char* file_name) {
+void test_triangulate_and_refine_hole(const char* file_name, bool use_cdt) {
   std::cout << "test_triangulate_and_refine_hole:" << std::endl;
   std::cout << "  File: "<< file_name  << std::endl;
   Polyhedron poly;
@@ -192,7 +193,8 @@ void test_triangulate_and_refine_hole(const char* file_name) {
     std::vector<Facet_handle> patch_facets;
     std::vector<Vertex_handle> patch_vertices;
     CGAL::Polygon_mesh_processing::triangulate_and_refine_hole(poly, *it,
-      back_inserter(patch_facets), back_inserter(patch_vertices));
+      back_inserter(patch_facets), back_inserter(patch_vertices),
+                                                               CGAL::parameters::use_2d_constrained_delaunay_triangulation(use_cdt));
 
     if(patch_facets.empty()) {
       std::cerr << "  Error: empty patch created." << std::endl;
@@ -208,7 +210,7 @@ void test_triangulate_and_refine_hole(const char* file_name) {
   std::cout << "  Done!" << std::endl;
 }
 
-void test_triangulate_refine_and_fair_hole(const char* file_name) {
+void test_triangulate_refine_and_fair_hole(const char* file_name, bool use_cdt) {
   std::cout << "test_triangulate_refine_and_fair_hole:" << std::endl;
   std::cout << "  File: "<< file_name  << std::endl;
   Polyhedron poly;
@@ -219,7 +221,8 @@ void test_triangulate_refine_and_fair_hole(const char* file_name) {
     std::vector<Facet_handle> patch_facets;
     std::vector<Vertex_handle> patch_vertices;
     CGAL::Polygon_mesh_processing::triangulate_refine_and_fair_hole(poly,
-      *it, back_inserter(patch_facets), back_inserter(patch_vertices));
+      *it, back_inserter(patch_facets), back_inserter(patch_vertices),
+      CGAL::parameters::use_2d_constrained_delaunay_triangulation(use_cdt));
 
     if(patch_facets.empty()) {
       std::cerr << "  Error: empty patch created." << std::endl;
@@ -235,7 +238,7 @@ void test_triangulate_refine_and_fair_hole(const char* file_name) {
   std::cout << "  Done!" << std::endl;
 }
 
-void test_ouput_iterators_triangulate_hole(const char* file_name) {
+void test_ouput_iterators_triangulate_hole(const char* file_name, bool use_cdt) {
   std::cout << "test_ouput_iterators_triangulate_hole:" << std::endl;
   std::cout << "  File: "<< file_name  << std::endl;
 
@@ -248,7 +251,8 @@ void test_ouput_iterators_triangulate_hole(const char* file_name) {
   std::vector<Halfedge_handle>::iterator it_2 = border_reps_2.begin();
   for(std::vector<Halfedge_handle>::iterator it = border_reps.begin(); it != border_reps.end(); ++it, ++it_2) {
     std::vector<Facet_handle> patch;
-    CGAL::Polygon_mesh_processing::triangulate_hole(poly, *it, back_inserter(patch));
+    CGAL::Polygon_mesh_processing::triangulate_hole(poly, *it, back_inserter(patch),
+              CGAL::parameters::use_2d_constrained_delaunay_triangulation(use_cdt));
 
     std::vector<Facet_handle> patch_2 = patch;
     Facet_handle* output_it =
@@ -264,7 +268,7 @@ void test_ouput_iterators_triangulate_hole(const char* file_name) {
   std::cout << "  Done!" << std::endl;
 }
 
-void test_ouput_iterators_triangulate_and_refine_hole(const char* file_name) {
+void test_ouput_iterators_triangulate_and_refine_hole(const char* file_name, bool use_cdt) {
   std::cout << "test_ouput_iterators_triangulate_and_refine_hole:" << std::endl;
   std::cout << "  File: "<< file_name  << std::endl;
 
@@ -279,7 +283,8 @@ void test_ouput_iterators_triangulate_and_refine_hole(const char* file_name) {
     std::vector<Facet_handle> patch_facets;
     std::vector<Vertex_handle> patch_vertices;
     CGAL::Polygon_mesh_processing::triangulate_and_refine_hole(poly,
-      *it, back_inserter(patch_facets), back_inserter(patch_vertices));
+      *it, back_inserter(patch_facets), back_inserter(patch_vertices),
+      CGAL::parameters::use_2d_constrained_delaunay_triangulation(use_cdt));
     // create enough space to hold outputs
     std::vector<Facet_handle> patch_facets_2 = patch_facets;
     std::vector<Vertex_handle> patch_vertices_2 = patch_vertices;
@@ -287,7 +292,8 @@ void test_ouput_iterators_triangulate_and_refine_hole(const char* file_name) {
 
     std::pair<Facet_handle*, Vertex_handle*> output_its =
       CGAL::Polygon_mesh_processing::triangulate_and_refine_hole(poly_2,
-        *it_2, &*patch_facets_2.begin(), &*patch_vertices_2.begin());
+        *it_2, &*patch_facets_2.begin(), &*patch_vertices_2.begin(),
+        CGAL::parameters::use_2d_constrained_delaunay_triangulation(use_cdt));
 
     if(patch_facets.size() != (std::size_t) (output_its.first - &*patch_facets_2.begin())) {
       std::cout << "  Error: returned facet output iterator is not valid!" << std::endl;
@@ -324,7 +330,7 @@ void test_triangulate_refine_and_fair_hole_compile() {
   (poly, border_reps[0], back_inserter(patch_facets), back_inserter(patch_vertices),
   CGAL::Polygon_mesh_processing::parameters::weight_calculator(
     CGAL::internal::Uniform_weight_fairing<Polyhedron>(poly)).
-    sparse_linear_solver(Default_solver()));
+    sparse_linear_solver(Default_solver()).use_2d_constrained_delaunay_triangulation(false));
 
   // default solver
   read_poly_with_borders("elephant_quad_hole.off", poly, border_reps);
@@ -367,18 +373,24 @@ int main() {
   input_files.push_back("data/mech-holes-shark.off");
   // std::cerr.precision(15);
   for(std::vector<std::string>::iterator it = input_files.begin(); it != input_files.end(); ++it) {
-    test_triangulate_hole(it->c_str());
-    //todo: add the np to triangulate_and_refine()
-    test_triangulate_and_refine_hole(it->c_str());
-    test_triangulate_refine_and_fair_hole(it->c_str());
-    test_ouput_iterators_triangulate_and_refine_hole(it->c_str());
-    test_ouput_iterators_triangulate_hole(it->c_str());
+    test_triangulate_hole(it->c_str(), true);
+    test_triangulate_hole(it->c_str(), false);
+    test_triangulate_and_refine_hole(it->c_str(), true);
+    test_triangulate_and_refine_hole(it->c_str(), false);
+    test_triangulate_refine_and_fair_hole(it->c_str(), true);
+    test_triangulate_refine_and_fair_hole(it->c_str(), false);
+    test_ouput_iterators_triangulate_and_refine_hole(it->c_str(), true);
+    test_ouput_iterators_triangulate_and_refine_hole(it->c_str(), false);
+    test_ouput_iterators_triangulate_hole(it->c_str(), true);
+    test_ouput_iterators_triangulate_hole(it->c_str(), false);
     test_triangulate_hole_weight(it->c_str(), true, 0);
     test_triangulate_hole_weight(it->c_str(), false, 0);
     std::cout << "------------------------------------------------" << std::endl;
   }
-  test_triangulate_hole_should_be_no_output("data/non_manifold_vertex.off");
-  test_triangulate_hole_should_be_no_output("data/two_tris_collinear.off");
+  test_triangulate_hole_should_be_no_output("data/non_manifold_vertex.off", true);
+  test_triangulate_hole_should_be_no_output("data/non_manifold_vertex.off", false);
+  test_triangulate_hole_should_be_no_output("data/two_tris_collinear.off", true);
+  test_triangulate_hole_should_be_no_output("data/two_tris_collinear.off", false);
 
   test_triangulate_refine_and_fair_hole_compile();
   std::cout << "All Done!" << std::endl;

From 16cf7568942d1582984c6926ae4487db98408c2a Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 2 Jul 2020 12:29:01 +0200
Subject: [PATCH 044/317] fixes and clean-up

---
 .../internal/Hole_filling/Triangulate_hole_polyline.h        | 5 +++--
 .../include/CGAL/Polygon_mesh_processing/triangulate_hole.h  | 2 +-
 2 files changed, 4 insertions(+), 3 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 90d81d16125..774fc7df6cc 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1259,7 +1259,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     const FT tri_normal_length = static_cast<FT>(
       CGAL::sqrt(CGAL::to_double(squared_length_3(tri_normal))));
     if(tri_normal_length <= FT(0))
-      return false;
+      continue;
 
     tri_normal /= tri_normal_length;
 
@@ -1293,12 +1293,13 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   typedef CGAL::Triangulation_face_base_with_info_2<bool, P_traits>          Fb1;
   typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fb1>         Fb;
   typedef CGAL::Triangulation_data_structure_2<Vb,Fb>                        TDS;
-  typedef CGAL::Exact_intersections_tag                                      Itag;
+  typedef CGAL::No_intersection_tag                                          Itag; //If the polygon is simple, there should be no intersection.
   typedef CGAL::Constrained_Delaunay_triangulation_2<P_traits, TDS, Itag>    CDT;
   P_traits cdt_traits(normal);
   CDT cdt(cdt_traits);
 
   std::vector< std::pair<Point_3,std::size_t> > points_and_ids;
+  points_and_ids.reserve(size);
   std::vector<typename CDT::Vertex_handle> vertices(size);
   for(std::size_t i =0; i< size; ++i)
   {
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index db8db64c0c0..e9e13133f8c 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -391,7 +391,7 @@ bool use_dt3 =
     typedef typename CGAL::Kernel_traits<Point>::Kernel Kernel;
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
     struct Always_valid{
-      bool operator()(std::vector<Point>&, int,int,int)
+      bool operator()(const std::vector<Point>&, int,int,int)const
       {return true;}
     };
     Always_valid is_valid;

From 4fb546925d7636346746a00686c2364bc301cce7 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 6 Jul 2020 16:22:46 +0200
Subject: [PATCH 045/317] cleanup + warnings fix

---
 .../doc/Polygon_mesh_processing/NamedParameters.txt       | 7 +++++++
 .../internal/Hole_filling/Triangulate_hole_polyline.h     | 2 +-
 .../CGAL/Polygon_mesh_processing/triangulate_hole.h       | 8 ++++----
 3 files changed, 12 insertions(+), 5 deletions(-)

diff --git a/Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt b/Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt
index 5fe5a41c38f..6424c534b88 100644
--- a/Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt
+++ b/Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt
@@ -216,6 +216,13 @@ non-Delaunay triangulations search space to find a solution.\n
 <b>Default:</b> `true`
 \cgalNPEnd
 
+\cgalNPBegin{use_2d_constrained_delaunay_triangulation} \anchor PMP_use_2d_constrained_delaunay_triangulation
+enables the use of the 2D constrained Delaunay triangulation to triangulate the hole (the default is `true`),
+if no valid triangulation can be found, the algorithm falls back to the original algorithm to find a solution.\n
+<b>Type:</b> `bool` \n
+<b>Default:</b> `true`
+\cgalNPEnd
+
 \cgalNPBegin{use_random_uniform_sampling} \anchor PMP_use_random_uniform_sampling
 is a parameter used in `sample_triangle_mesh()` to indicate that the points are picked
 in a random uniform way.\n
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 774fc7df6cc..57aef6bc3dc 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1293,7 +1293,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   typedef CGAL::Triangulation_face_base_with_info_2<bool, P_traits>          Fb1;
   typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fb1>         Fb;
   typedef CGAL::Triangulation_data_structure_2<Vb,Fb>                        TDS;
-  typedef CGAL::No_intersection_tag                                          Itag; //If the polygon is simple, there should be no intersection.
+  typedef CGAL::No_constraint_intersection_tag                               Itag; //If the polygon is simple, there should be no intersection.
   typedef CGAL::Constrained_Delaunay_triangulation_2<P_traits, TDS, Itag>    CDT;
   P_traits cdt_traits(normal);
   CDT cdt(cdt_traits);
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index e9e13133f8c..319f44ccba4 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -64,7 +64,7 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
      to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
          original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
@@ -169,7 +169,7 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
      to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
          original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
@@ -241,7 +241,7 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
      to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
          original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{density_control_factor} factor to control density of the ouput mesh, where larger values
@@ -340,7 +340,7 @@ namespace Polygon_mesh_processing {
      \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
          If no valid triangulation can be found in this search space, the algorithm falls back to the
          non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the constrained Delaunay triangulation
+     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
      to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
          original algorithm to find a solution.\cgalParamEnd
      \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd

From 979e1d01a79b45a7070d61d08473ca71f94161d2 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 6 Jul 2020 17:58:53 +0200
Subject: [PATCH 046/317] multiple fixes

---
 .../Hole_filling/Triangulate_hole_polyline.h  |  81 +++----
 .../triangulate_faces.h                       | 215 +-----------------
 .../triangulate_hole.h                        |   6 +-
 .../triangulate_hole_with_cdt_2_test.cpp      |   9 +-
 4 files changed, 49 insertions(+), 262 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 57aef6bc3dc..cb5028507fa 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1235,14 +1235,14 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     traits.collinear_3_object();
 
   std::vector<Point_3> P(boost::begin(points), boost::end(points));
-  if(P.front() != P.back()){
+  if (P.front() != P.back()) {
     P.push_back(P.front());
   }
 
   FT x = FT(0), y = FT(0), z = FT(0);
   std::size_t num_normals = 0;
   const Point_3& ref_point = P[0];
-  std::size_t size = P.size()-1;
+  const std::size_t size = P.size() - 1;
   for (std::size_t i = 1; i < size; ++i) {
     const std::size_t ip = i + 1;
 
@@ -1255,55 +1255,43 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
       continue;
 
     // Computing the normal of a triangle.
-    Vector_3 tri_normal = CGAL::normal(p1, p2, p3);
-    const FT tri_normal_length = static_cast<FT>(
-      CGAL::sqrt(CGAL::to_double(squared_length_3(tri_normal))));
-    if(tri_normal_length <= FT(0))
-      continue;
-
-    tri_normal /= tri_normal_length;
-
+    const Vector_3 tri_normal = CGAL::normal(p1, p2, p3);
     x += tri_normal.x(); y += tri_normal.y(); z += tri_normal.z();
     ++num_normals;
   }
 
-  if(num_normals < 1)
+  if (num_normals < 1)
     return false;
 
+  // Setting the final normal.
   x /= static_cast<FT>(num_normals);
   y /= static_cast<FT>(num_normals);
   z /= static_cast<FT>(num_normals);
-
-  // Setting the final normal.
-  const Vector_3 normal = Vector_3(x, y, z);
-  const FT normal_length = static_cast<FT>(
-    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
-  const Vector_3 avg_normal = normal / normal_length;
+  const Vector_3 avg_normal = Vector_3(x, y, z);
 
   // Checking the hole simplicity.
   typedef Triangulation_2_projection_traits_3<Traits> P_traits;
   const P_traits p_traits(avg_normal);
-  if(!is_simple_2(P.begin(), P.end()-1, p_traits))
+  if (!is_simple_2(P.begin(), P.end() - 1, p_traits))
      return false;
 
-
-  Lookup_table_map<int> lambda(static_cast<int>(size),-1);
-  //Create and fill the cdt_2
+  Lookup_table_map<int> lambda(static_cast<int>(size), -1);
+  // Create and fill the cdt_2.
   typedef CGAL::Triangulation_vertex_base_with_info_2<std::size_t, P_traits> Vb;
-  typedef CGAL::Triangulation_face_base_with_info_2<bool, P_traits>          Fb1;
-  typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fb1>         Fb;
+  typedef CGAL::Triangulation_face_base_with_info_2<bool, P_traits>          Fbi;
+  typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fbi>         Fb;
   typedef CGAL::Triangulation_data_structure_2<Vb,Fb>                        TDS;
-  typedef CGAL::No_constraint_intersection_tag                               Itag; //If the polygon is simple, there should be no intersection.
+  typedef CGAL::No_constraint_intersection_tag                               Itag; // If the polygon is simple, there should be no intersection.
   typedef CGAL::Constrained_Delaunay_triangulation_2<P_traits, TDS, Itag>    CDT;
-  P_traits cdt_traits(normal);
+  P_traits cdt_traits(avg_normal);
   CDT cdt(cdt_traits);
 
   std::vector< std::pair<Point_3,std::size_t> > points_and_ids;
   points_and_ids.reserve(size);
   std::vector<typename CDT::Vertex_handle> vertices(size);
-  for(std::size_t i =0; i< size; ++i)
+  for (std::size_t i = 0; i < size; ++i)
   {
-    points_and_ids.push_back( std::make_pair(P[i],i));
+    points_and_ids.push_back(std::make_pair(P[i],i));
   }
   cdt.insert(points_and_ids.begin(), points_and_ids.end());
   for (typename CDT::Vertex_handle v : cdt.finite_vertex_handles())
@@ -1311,64 +1299,61 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     vertices[v->info()] = v;
   }
 
-  for(std::size_t i = 0; i<size; ++i)
+  for (std::size_t i = 0; i < size; ++i)
   {
-    cdt.insert_constraint(vertices[i], vertices[(i+1)%(size)]);
+    cdt.insert_constraint(vertices[i], vertices[(i + 1) % (size)]);
   }
 
-
-  // sets mark is_external
-  for(typename CDT::All_faces_iterator fit = cdt.all_faces_begin(),
-        end = cdt.all_faces_end();
-      fit != end; ++fit)
+  // Sets mark is_external.
+  for (typename CDT::All_faces_iterator fit = cdt.all_faces_begin(),
+    end = cdt.all_faces_end(); fit != end; ++fit)
   {
     fit->info() = false;
   }
   std::queue<typename CDT::Face_handle> face_queue;
   face_queue.push(cdt.infinite_vertex()->face());
-  while(! face_queue.empty() )
+  while (!face_queue.empty())
   {
     typename CDT::Face_handle fh = face_queue.front();
     face_queue.pop();
 
-    if(fh->info())
+    if (fh->info())
       continue;
 
     fh->info() = true;
-    for(int i = 0; i <3; ++i)
+    for (std::size_t i = 0; i < 3; ++i)
     {
-      if(!cdt.is_constrained(typename CDT::Edge(fh, i)))
+      if (!cdt.is_constrained(typename CDT::Edge(fh, i)))
       {
         face_queue.push(fh->neighbor(i));
       }
     }
   }
-  if(cdt.dimension() != 2 ||
-     cdt.number_of_vertices() != size)
+  if (cdt.dimension() != 2 ||
+    cdt.number_of_vertices() != size)
   {
     return false;
   }
 
-  //fill the lambda
-  for(typename CDT::Finite_faces_iterator fit = cdt.finite_faces_begin(),
-        end = cdt.finite_faces_end();
-      fit != end; ++fit)
+  // Fill the lambda.
+  for (typename CDT::Finite_faces_iterator fit = cdt.finite_faces_begin(),
+    end = cdt.finite_faces_end(); fit != end; ++fit)
   {
-    if(!fit->info())//if ! is external
+    if (!fit->info()) // if !is external
     {
       std::vector<std::size_t> is(3);
-      for(int i=0; i<3; ++i)
+      for (std::size_t i = 0; i < 3; ++i)
       {
         is[i] = fit->vertex(i)->info();
       }
       std::sort(is.begin(), is.end());
       lambda.put(is[0],is[2], is[1]);
-      if(!is_valid(P,is[0],is[1],is[2]))
+      if (!is_valid(P, is[0], is[1], is[2]))
         return false;
     }
   }
 
-  //call the tracer
+  // Call the tracer.
   tracer(lambda, 0, size - 1);
   return true;
 }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
index 02dc6b163a5..fd6fa0349de 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
@@ -29,10 +29,6 @@
 #include <CGAL/use.h>
 #endif
 
-#include <CGAL/assertions.h>
-#include <CGAL/number_utils.h>
-#include <CGAL/Polygon_2_algorithms.h>
-
 #include <CGAL/Polygon_mesh_processing/triangulate_hole.h>
 #include <CGAL/Polygon_mesh_processing/compute_normal.h>
 #include <CGAL/Polygon_mesh_processing/internal/named_function_params.h>
@@ -85,15 +81,6 @@ public:
   }
 
   bool triangulate_face(face_descriptor f, PM& pmesh, bool use_cdt)
-  {
-    Emptyset_iterator out;
-    return triangulate_face(f, pmesh, use_cdt, out);
-  }
-
-  // Default for out is Emptyset_iterator(),
-  // and out is only used for triangulate_with_cdt_2().
-  template <typename OutputIterator>
-  bool triangulate_face(face_descriptor f, PM& pmesh, bool use_cdt, OutputIterator out)
   {
     typedef typename Traits::FT FT;
 
@@ -131,29 +118,11 @@ public:
       FT p0p2 = CGAL::cross_product(p1-p0,p1-p2) * CGAL::cross_product(p3-p2,p3-p0);
       if(p0p2>p1p3)
       {
-        // CGAL::Euler::split_face(v0, v2, pmesh);
-        halfedge_descriptor hnew = halfedge(add_edge(pmesh), pmesh);
-        face_descriptor fnew = add_face(pmesh);
-        CGAL::internal::insert_tip(hnew, v2, pmesh);
-        CGAL::internal::insert_tip(opposite(hnew, pmesh), v0, pmesh);
-        set_face(hnew, face(v0, pmesh), pmesh);
-        CGAL::internal::set_face_in_face_loop(opposite(hnew, pmesh), fnew, pmesh);
-        set_halfedge(face(hnew, pmesh), hnew, pmesh);
-        set_halfedge(face(opposite(hnew, pmesh), pmesh), opposite(hnew, pmesh), pmesh);
-        *out++ = fnew;
+        CGAL::Euler::split_face(v0, v2, pmesh);
       }
       else
       {
-        // CGAL::Euler::split_face(v1, v3, pmesh);
-        halfedge_descriptor hnew = halfedge(add_edge(pmesh), pmesh);
-        face_descriptor fnew = add_face(pmesh);
-        CGAL::internal::insert_tip(hnew, v3, pmesh);
-        CGAL::internal::insert_tip(opposite(hnew, pmesh), v1, pmesh);
-        set_face(hnew, face(v1, pmesh), pmesh);
-        CGAL::internal::set_face_in_face_loop(opposite(hnew, pmesh), fnew, pmesh);
-        set_halfedge(face(hnew, pmesh), hnew, pmesh);
-        set_halfedge(face(opposite(hnew, pmesh), pmesh), opposite(hnew, pmesh), pmesh);
-        *out++ = fnew;
+        CGAL::Euler::split_face(v1, v3, pmesh);
       }
     }
     else
@@ -174,19 +143,18 @@ public:
                                                            Itag>             CDT;
         P_traits cdt_traits(normal);
         CDT cdt(cdt_traits);
-        return triangulate_face_with_CDT(f, pmesh, cdt, out);
+        return triangulate_face_with_CDT(f, pmesh, cdt);
       }
 #else
       CGAL_USE(use_cdt);
 #endif
-      // Don't use out if no cdt.
       return triangulate_face_with_hole_filling(f, pmesh);
     }
     return true;
   }
 
-  template <class CDT, typename OutputIterator>
-  bool triangulate_face_with_CDT(face_descriptor f, PM& pmesh, CDT& cdt, OutputIterator out)
+  template<class CDT>
+  bool triangulate_face_with_CDT(face_descriptor f, PM& pmesh, CDT& cdt)
   {
     std::size_t original_size = CGAL::halfedges_around_face(halfedge(f, pmesh), pmesh).size();
 
@@ -299,13 +267,7 @@ public:
         set_next(h1, h2, pmesh);
         set_next(h2, h0, pmesh);
 
-        // Euler::fill_hole(h0, pmesh);
-        face_descriptor new_face = add_face(pmesh);
-        for (halfedge_descriptor hd : CGAL::halfedges_around_face(h0, pmesh)) {
-          set_face(hd, new_face, pmesh);
-        }
-        set_halfedge(new_face, h0, pmesh);
-        *out++ = new_face;
+        Euler::fill_hole(h0, pmesh);
       }
     }
     return true;
@@ -474,16 +436,8 @@ bool triangulate_face(typename boost::graph_traits<PolygonMesh>::face_descriptor
   //Option
   bool use_cdt = choose_parameter(get_parameter(np, internal_np::use_delaunay_triangulation), true);
 
-  typedef typename internal_np::Lookup_named_param_def<
-    internal_np::output_iterator_t,
-    NamedParameters,
-    Emptyset_iterator>::type Output_iterator;
-
-  Output_iterator out = choose_parameter(
-    get_parameter(np, internal_np::output_iterator), Emptyset_iterator());
-
   internal::Triangulate_modifier<PolygonMesh, VPMap, Kernel> modifier(vpmap, traits);
-  return modifier.triangulate_face(f, pmesh, use_cdt, out);
+  return modifier.triangulate_face(f, pmesh, use_cdt);
 }
 
 template<typename PolygonMesh>
@@ -579,163 +533,10 @@ bool triangulate_faces(PolygonMesh& pmesh)
   return triangulate_faces(faces(pmesh), pmesh, CGAL::Polygon_mesh_processing::parameters::all_default());
 }
 
-/*!
-  \ingroup hole_filling_grp
-  \brief triangulates a planar hole in a polygon mesh.
-
-  If the hole is planar, this function uses the 2D constrained Delaunay triangulation
-  in order to close the hole. The constraints are the border edges of the hole.
-
-  The hole must not contain any non-manifold vertex, nor self-intersections.
-  The patch generated does not introduce non-manifold edges nor degenerate triangles.
-  If a hole cannot be triangulated, `pmesh` is not modified and nothing is recorded in `out`.
-
-  \tparam PolygonMesh a model of `MutableFaceGraph`
-  \tparam OutputIterator a model of `OutputIterator` holding
-  `boost::graph_traits<PolygonMesh>::%face_descriptor` for patch faces.
-  \tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
-
-  \param pmesh polygon mesh which has the hole
-  \param border_halfedge a border halfedge incident to the hole
-  \param out iterator over patch faces
-  \param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
-
-  \cgalNamedParamsBegin
-    \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
-        If this parameter is omitted, an internal property map for
-        `CGAL::vertex_point_t` should be available in `PolygonMesh`
-        \cgalParamEnd
-    \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
-  \cgalNamedParamsEnd
-
-  \return `out`
-*/
-template<
-typename PolygonMesh,
-typename OutputIterator,
-typename NamedParameters>
-OutputIterator triangulate_hole_with_cdt_2(
-  PolygonMesh& pmesh,
-  typename boost::graph_traits<PolygonMesh>::halfedge_descriptor border_halfedge,
-  OutputIterator out,
-  const NamedParameters& np) {
-
-  #ifdef CGAL_TRIANGULATE_FACES_DO_NOT_USE_CDT2
-
-  return triangulate_hole(
-    pmesh, border_halfedge, out, np);
-
-  #else
-
-  typedef typename GetGeomTraits<PolygonMesh, NamedParameters>::type Traits;
-  const Traits traits = parameters::choose_parameter(
-    parameters::get_parameter(np, internal_np::geom_traits), Traits());
-
-  typedef typename Traits::FT FT;
-  typedef typename Traits::Point_3 Point_3;
-  typedef typename Traits::Vector_3 Vector_3;
-  typedef typename Traits::Collinear_3 Collinear_3;
-  typedef typename Traits::Compute_squared_length_3 Squared_length_3;
-
-  typedef typename GetVertexPointMap<PolygonMesh, NamedParameters>::const_type VPM;
-  const VPM vpm = parameters::choose_parameter(
-    parameters::get_parameter(np, internal_np::vertex_point),
-    get_const_property_map(boost::vertex_point, pmesh));
-
-  typedef Halfedge_around_face_circulator<PolygonMesh> Hedge_around_face_circulator;
-  Hedge_around_face_circulator circ(border_halfedge, pmesh);
-  Hedge_around_face_circulator done(circ);
-
-  // Getting the hole boundary.
-  std::vector<Point_3> polyline_3d;
-  do {
-    polyline_3d.push_back(get(vpm, target(*circ, pmesh)));
-  } while (++circ != done);
-  CGAL_assertion(
-    polyline_3d.size() >= 3);
-
-  // Compute an average normal of the hole face.
-  const Squared_length_3 squared_length_3 =
-    traits.compute_squared_length_3_object();
-  const Collinear_3 collinear_3 =
-    traits.collinear_3_object();
-
-  FT x = FT(0), y = FT(0), z = FT(0);
-  std::size_t num_normals = 0;
-  const Point_3& ref_point = polyline_3d[0];
-  for (std::size_t i = 1; i < polyline_3d.size() - 1; ++i) {
-    const std::size_t ip = i + 1;
-
-    const Point_3& p1 = ref_point; // 3 points, which form a triangle
-    const Point_3& p2 = polyline_3d[i];
-    const Point_3& p3 = polyline_3d[ip];
-
-    // Skip in case we have collinear points.
-    if (collinear_3(p1, p2, p3))
-      continue;
-
-    // Computing the normal of a triangle.
-    Vector_3 tri_normal = CGAL::normal(p1, p2, p3);
-    const FT tri_normal_length = static_cast<FT>(
-      CGAL::sqrt(CGAL::to_double(squared_length_3(tri_normal))));
-    CGAL_assertion(tri_normal_length > FT(0));
-    tri_normal /= tri_normal_length;
-
-    x += tri_normal.x(); y += tri_normal.y(); z += tri_normal.z();
-    ++num_normals;
-  }
-
-  CGAL_assertion(num_normals >= 1);
-  x /= static_cast<FT>(num_normals);
-  y /= static_cast<FT>(num_normals);
-  z /= static_cast<FT>(num_normals);
-
-  // Setting the final normal.
-  const Vector_3 normal = Vector_3(x, y, z);
-  const FT normal_length = static_cast<FT>(
-    CGAL::sqrt(CGAL::to_double(squared_length_3(normal))));
-  const Vector_3 avg_normal = normal / normal_length;
-
-  // Checking the hole simplicity.
-  typedef Triangulation_2_projection_traits_3<Traits> P_traits;
-  const P_traits p_traits(avg_normal);
-  const bool is_simple =
-    is_simple_2(polyline_3d.begin(), polyline_3d.end(), p_traits);
-  // if (!is_simple) // temporarily removed
-  //   return triangulate_hole(
-  //     pmesh, border_halfedge, out, np);
-
-  // Adding the new face.
-  typedef typename boost::graph_traits<PolygonMesh>::face_descriptor face_descriptor;
-  face_descriptor new_face = add_face(pmesh);
-  set_halfedge(new_face, border_halfedge, pmesh);
-  do {
-    set_face(*circ, new_face, pmesh);
-  } while (++circ != done);
-
-  // Triangulating.
-  const bool use_cdt = true;
-  internal::Triangulate_modifier<PolygonMesh, VPM, Traits> modifier(vpm, traits);
-  const bool success_with_cdt_2 =
-    modifier.triangulate_face(new_face, pmesh, use_cdt, out);
-
-  if (!success_with_cdt_2) {
-    remove_face(new_face, pmesh);
-    do {
-      set_face(*circ, boost::graph_traits<PolygonMesh>::null_face(), pmesh);
-    } while (++circ != done);
-    return triangulate_hole(
-      pmesh, border_halfedge, out, np);
-  }
-
-  #endif
-  return out;
-}
-
 } // end namespace Polygon_mesh_processing
 
 } // end namespace CGAL
 
 #include <CGAL/enable_warnings.h>
 
-#endif // CGAL_POLYGON_MESH_PROCESSING_TRIANGULATE_FACES_H
+#endif // CGAL_POLYGON_MESH_PROCESSING_TRIANGULATE_FACES_H
\ No newline at end of file
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 319f44ccba4..171c2c48f05 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -42,9 +42,9 @@ namespace Polygon_mesh_processing {
   /*!
   \ingroup hole_filling_grp
   triangulates a hole in a polygon mesh.
-  The hole must not contain any non-manifold vertex,
-  nor self-intersections.
-  The patch generated does not introduce non-manifold edges nor degenerate triangles.
+  The hole must not contain any non-manifold vertex, nor self-intersections.
+  When using the 2D constrained Delaunay triangulation, the non-manifold vertex is
+  not an issue. The patch generated does not introduce non-manifold edges nor degenerate triangles.
   If a hole cannot be triangulated, `pmesh` is not modified and nothing is recorded in `out`.
 
   @tparam PolygonMesh a model of `MutableFaceGraph`
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index 17904efcbec..557a3460321 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -10,7 +10,7 @@
 #include <CGAL/Polyhedron_3.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
-#include <CGAL/Polygon_mesh_processing/triangulate_faces.h>
+#include <CGAL/Polygon_mesh_processing/triangulate_hole.h>
 
 template<
 class PolygonMesh,
@@ -81,12 +81,13 @@ void test_triangulate_hole_with_cdt_2(
   std::vector<Face_handle> patch_faces;
   for (const Halfedge_handle h : borders) {
     patch_faces.clear();
-    CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2(
+    CGAL::Polygon_mesh_processing::triangulate_hole(
       pmesh,
       h,
       std::back_inserter(patch_faces),
       CGAL::Polygon_mesh_processing::parameters::vertex_point_map(
         get(CGAL::vertex_point, pmesh)).
+        use_2d_constrained_delaunay_triangulation(true).
         geom_traits(GeomTraits()));
 
     if (verbose)
@@ -127,9 +128,9 @@ int main(int argc, char **argv) {
 
   // Checking on a data file with two planar, simple, and orthogonal holes.
   test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
-    "exact_inexact", argc, argv, "w_orthogonal_hole", 2, 1, false);
+    "exact_inexact", argc, argv, "w_orthogonal_hole", 2, 2, false);
   test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
-    "exact_exact", argc, argv, "w_orthogonal_hole", 2, 1, false);
+    "exact_exact", argc, argv, "w_orthogonal_hole", 2, 2, false);
   std::cout <<
     "test_triangulate_hole_with_cdt_2: orthogonal hole SUCCESS" << std::endl;
 

From d3dd4ad0ace49ebc4ec975bfa4b87b293dc73a25 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 7 Jul 2020 11:31:18 +0200
Subject: [PATCH 047/317] missing line

---
 .../include/CGAL/Polygon_mesh_processing/triangulate_faces.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
index fd6fa0349de..8284c79d118 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
@@ -539,4 +539,4 @@ bool triangulate_faces(PolygonMesh& pmesh)
 
 #include <CGAL/enable_warnings.h>
 
-#endif // CGAL_POLYGON_MESH_PROCESSING_TRIANGULATE_FACES_H
\ No newline at end of file
+#endif // CGAL_POLYGON_MESH_PROCESSING_TRIANGULATE_FACES_H

From 8bfdf2b9a2e69bdd3274beb6e8ee0c246e41c4e8 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 24 Jul 2020 17:30:43 +0200
Subject: [PATCH 048/317] positive avg normal + hole orientation (not finished)

---
 .../Triangulate_hole_polygon_mesh.h           |  2 +-
 .../Hole_filling/Triangulate_hole_polyline.h  | 58 ++++++++++++++++---
 .../triangulate_hole.h                        |  1 +
 3 files changed, 52 insertions(+), 9 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index cba88c6c27f..9341f0e8eec 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -176,7 +176,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
     tracer(out, pmesh, P_edges);
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
-    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k))
+    if(use_cdt && triangulate_hole_polyline_with_cdt(P, Q, tracer, is_valid, k))
     {
       return std::make_pair(tracer.out, CGAL::internal::Weight_min_max_dihedral_and_area(0,0));
     }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index cb5028507fa..84b86c5f7e0 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1204,23 +1204,25 @@ public:
 };
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+
 /************************************************************************
  * Triangulate hole by using a cdt_2
  ************************************************************************/
 // /!\ points.first == points.last
 
-
 template <
-  typename PointRange, //need size()
+  typename PointRange1, // need size()
+  typename PointRange2,
   typename Tracer,
   typename Validity_checker,
   typename Traits
 >
 bool
-triangulate_hole_polyline_with_cdt(const PointRange& points,
-                          Tracer& tracer,
-                          const Validity_checker& is_valid,
-                          const Traits& traits)
+triangulate_hole_polyline_with_cdt(const PointRange1& points,
+                                   const PointRange2& third_points,
+                                   Tracer& tracer,
+                                   const Validity_checker& is_valid,
+                                   const Traits& traits)
 {
   typedef typename Traits::FT FT;
   typedef typename Traits::Point_3 Point_3;
@@ -1235,9 +1237,15 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     traits.collinear_3_object();
 
   std::vector<Point_3> P(boost::begin(points), boost::end(points));
+  std::vector<Point_3> Q(boost::begin(third_points), boost::end(third_points));
+
   if (P.front() != P.back()) {
     P.push_back(P.front());
+    if (!Q.empty() && P.size() > Q.size()) {
+      Q.push_back(Q.front());
+    }
   }
+  CGAL_assertion(P.size() == Q.size());
 
   FT x = FT(0), y = FT(0), z = FT(0);
   std::size_t num_normals = 0;
@@ -1255,19 +1263,53 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
       continue;
 
     // Computing the normal of a triangle.
-    const Vector_3 tri_normal = CGAL::normal(p1, p2, p3);
-    x += tri_normal.x(); y += tri_normal.y(); z += tri_normal.z();
+    const Vector_3 n = CGAL::normal(p1, p2, p3);
+    // If it is a positive normal ->
+    if (
+      ( n.x() >  FT(0)                                    ) ||
+      ( n.x() == FT(0) && n.y() >  FT(0)                  ) ||
+      ( n.x() == FT(0) && n.y() == FT(0) && n.z() > FT(0) )) {
+      x += n.x(); y += n.y(); z += n.z();
+    } else { // otherwise invert ->
+      x -= n.x(); y -= n.y(); z -= n.z();
+    }
     ++num_normals;
   }
 
   if (num_normals < 1)
     return false;
 
+  // Find non-collinear the hole boundary points in order
+  // to check the hole orientation.
+  std::vector<Point_3> pts;
+  pts.reserve(3);
+  pts.push_back(ref_point);
+  for (std::size_t i = 1; i < size; ++i) {
+    const std::size_t ip = i + 1;
+    const Point_3& p1 = ref_point;
+    const Point_3& p2 = P[i];
+    const Point_3& p3 = P[ip];
+    if (!collinear_3(p1, p2, p3)) {
+      pts.push_back(p2);
+      pts.push_back(p3);
+      break;
+    }
+  }
+
+  // Not sure about that!
+  if (CGAL::orientation(pts[0], pts[1], pts[2], Q[0]) != CGAL::NEGATIVE) {
+    // std::cout << "positive" << std::endl;
+  } else {
+    // std::cout << "negative" << std::endl;
+    x = -x; y = -y; z = -z;
+  }
+
   // Setting the final normal.
   x /= static_cast<FT>(num_normals);
   y /= static_cast<FT>(num_normals);
   z /= static_cast<FT>(num_normals);
   const Vector_3 avg_normal = Vector_3(x, y, z);
+  // std::cout << "avg: " << avg_normal << std::endl;
 
   // Checking the hole simplicity.
   typedef Triangulation_2_projection_traits_3<Traits> P_traits;
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 171c2c48f05..21e542f434d 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -399,6 +399,7 @@ bool use_dt3 =
     if(!use_cdt ||
        !triangulate_hole_polyline_with_cdt(
          points,
+         third_points,
          tracer,
          is_valid,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))

From 3ae852b246ae10b77819a935d71fe0131cc70970 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 3 Aug 2020 17:35:39 +0200
Subject: [PATCH 049/317] improved planarity test + normal estimation + new
 tests

---
 .../NamedParameters.txt                       |  617 --
 .../Triangulate_hole_polygon_mesh.h           |    2 +-
 .../Hole_filling/Triangulate_hole_polyline.h  |  191 +-
 .../triangulate_hole.h                        |  178 +-
 ...ple_hole.off => elephant_complex_hole.off} |    0
 .../data/elephant_concave_hole.off            | 8299 +++++++++++++++++
 ...mple_hole.off => elephant_curved_hole.off} |    0
 .../data/elephant_flat_hole.off               | 8240 ++++++++++++++++
 .../triangulate_hole_with_cdt_2_test.cpp      |   35 +-
 9 files changed, 16804 insertions(+), 758 deletions(-)
 delete mode 100644 Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt
 rename Polygon_mesh_processing/test/Polygon_mesh_processing/data/{elephant_nonsimple_hole.off => elephant_complex_hole.off} (100%)
 create mode 100644 Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_concave_hole.off
 rename Polygon_mesh_processing/test/Polygon_mesh_processing/data/{elephant_simple_hole.off => elephant_curved_hole.off} (100%)
 create mode 100644 Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_flat_hole.off

diff --git a/Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt b/Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt
deleted file mode 100644
index 6424c534b88..00000000000
--- a/Polygon_mesh_processing/doc/Polygon_mesh_processing/NamedParameters.txt
+++ /dev/null
@@ -1,617 +0,0 @@
-/*!
-\defgroup pmp_namedparameters Named Parameters for Polygon Mesh Processing
-\ingroup PkgPolygonMeshProcessingRef
-
-In this package, all functions optional parameters are implemented as BGL optional
-named parameters (see \ref BGLNamedParameters for more information on how to use them).
-Since the parameters of the various polygon mesh processing functions defined
-in this package are redundant, their long descriptions are centralized below.
-The sequence of named parameters starts with `CGAL::parameters::`.
-`CGAL::parameters::all_default()` can be used to indicate
-that default values of optional named parameters  shall be used.
-
-In the following, we assume that the following types are provided as template parameters
-of polygon mesh processing functions and classes. Note that, for some of these functions,
-the type is more specific:
-<ul>
-<li>`PolygonMesh` is a model of the concept `FaceGraph`</li>.
-<li>`GeomTraits` a geometric traits class in which constructions are performed and
-     predicates evaluated. Everywhere in this package, a \cgal `Kernel` fulfills the requirements.</li>
-</ul>
-
-The following named parameters, offered by the package \ref PkgBGL
-(see \ref bgl_namedparameters), are used in this package:
-
-\cgalNPTableBegin
-\cgalNPBegin{vertex_point_map} \anchor PMP_vertex_point_map
-is the property map with the points associated to the vertices of the polygon mesh `pmesh`.\n
-<b>Type:</b> a class model of `ReadablePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%vertex_descriptor` as key type and
-`GeomTraits::Point_3` as value type. \n
-<b>Default:</b> \code boost::get(CGAL::vertex_point, pmesh) \endcode
-\cgalNPEnd
-
-\cgalNPBegin{vertex_index_map} \anchor PMP_vertex_index_map
-is the property map associating a unique index to each vertex of a polygon mesh,
-between `0` and `num_vertices(g)-1`.
-If this parameter is not passed, internal machinery will create and initialize a vertex index
-property map, either using the internal property map if it exists or using an external map. The latter
-might result in  - slightly - worsened performance in case of non-constant complexity for index access.\n
-<b>Type:</b> a class model of `ReadablePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%vertex_descriptor` as key type and the value type
-\code typename boost::property_traits<typename boost::property_map<PolygonMesh, CGAL::vertex_index_t>::type>::value_type \endcode
-<b>Default:</b> an initialized vertex index property map
-\cgalNPEnd
-
-\cgalNPBegin{face_index_map} \anchor PMP_face_index_map
-is the property map associating a unique index to each face of a polygon mesh,
-between `0` and `num_faces(g)-1`.
-If this parameter is not passed, internal machinery will create and initialize a face index
-property map, either using the internal property map if it exists or using an external map. The latter
-might result in  - slightly - worsened performance in case of non-constant complexity for index access.\n
-<b>Type:</b> a class model of `ReadablePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%face_descriptor` as key type and the value type:
-\code typename boost::property_traits<typename boost::property_map<PolygonMesh, CGAL::face_index_t>::type>::value_type \endcode
-<b>Default:</b> an initialized face index property map
-\cgalNPEnd
-
-\cgalNPBegin{edge_is_constrained_map} \anchor PMP_edge_is_constrained_map
-is the property map containing information about edges of the input polygon mesh
-being marked or not. In `isotropic_remeshing()` and `connected_components()`,
-the marked edges are constrained.\n
-<b>Type:</b> a class model of `ReadWritePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%edge_descriptor` as key type and
-`bool` as value type. It must be default constructible.\n
-<b>Default:</b> a default property map where no edge is constrained
-\cgalNPEnd
-\cgalNPTableEnd
-
-In addition to these named parameters, this package offers the following named parameters:
-
-\cgalNPTableBegin
-\cgalNPBegin{geom_traits} \anchor PMP_geom_traits
-is the geometric traits instance used for the mesh processing operation.\n
-<b>Type:</b> a Geometric traits class.\n
-<b>Default</b>:
-\code typename CGAL::Kernel_traits<
-        typename boost::property_traits<
-          typename boost::property_map<PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel \endcode
-\cgalNPEnd
-
-\cgalNPBegin{point_map} \anchor PMP_point_map
- is the property map containing the points associated to the elements of the point range `points`.\n
-\b Type: a class model of `ReadablePropertyMap` with
-`PointRange::iterator::value_type` as key type and
-`geom_traits::Point_3` as value type. \n
-<b>Default value</b>: \code CGAL::Identity_property_map<geom_traits::Point_3>\endcode
-\cgalNPEnd
-
-\cgalNPBegin{vertex_incident_patches_map} \anchor PMP_vertex_incident_patches_map
-is the property map containing the surface patches incident to each vertex of the input polygon mesh.\n
-<b>Type:</b> a class model of `LvaluePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%vertex_descriptor` as key type. Its value type
-must be a container of `boost::property_traits<PatchIdMap>::%value_type` and have a function `insert()`.
-A `std::set` or a `boost::unordered_set` are recommended, as a patch index may be
-inserted several times.\n
-<b>Default:</b> \code boost::get(CGAL::vertex_incident_patches_t, pmesh)\endcode
-\cgalNPEnd
-
-\cgalNPBegin{vertex_feature_degree_map} \anchor PMP_vertex_feature_degree_map
-is the property map containing the number of feature edges being incident to the vertices of the polygon mesh `pmesh`.\n
-<b>Type:</b> a class model of `ReadWritePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%vertex_descriptor` as key type and
-`int` as value type. It must be default constructible.\n
-<b>Default:</b> \code boost::get(CGAL::vertex_feature_degree_t(), pmesh) \endcode
-\cgalNPEnd
-
-\cgalNPBegin{vertex_is_constrained_map} \anchor PMP_vertex_is_constrained_map
-is the property map containing information about vertices of the input polygon mesh being constrained or not.
-Constrained vertices may be replaced by new vertices, but the number and location
-of vertices remain unchanged.\n
-<b>Type:</b> a class model of `ReadWritePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%vertex_descriptor` as key type and
-`bool` as value type. It must be default constructible.\n
-<b>Default:</b> a default property map where no vertex is constrained is provided.
-\cgalNPEnd
-
-\cgalNPBegin{face_patch_map} \anchor PMP_face_patch_map
-is a property map containing information about faces.
-It is particularly well-suited for preserving surface patch IDs,
-or face colors.
-The edges at the interface between surface patches are treated similarly
-to the ones of `edge_is_constrained_map`.\n
-<b>Type:</b> a class model of `ReadWritePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%face_descriptor` as key type and
-the desired property, model of `CopyConstructible` as value type.\n
-<b>Default:</b> 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`
-\cgalNPEnd
-
-\cgalNPBegin{first_index} \anchor PMP_first_index
-is the index of the first surface patch.\n
-<b>Type:</b> `std::size_t`\n
-<b>Default:</b> 1
-\cgalNPEnd
-
-\cgalNPBegin{density_control_factor} \anchor PMP_density_control_factor
-controls the density of the mesh generated by refinement, with larger values causing denser refinements.
-The density of vertices in the refined region is this factor times higher than before refinement.\n
-<b>Type:</b> floating scalar value\n
-<b>Default:</b> `CGAL::sqrt(2)`
-\cgalNPEnd
-
-\cgalNPBegin{fairing_continuity} \anchor PMP_fairing_continuity
-controls the tangential continuity of the output surface in `fair()`.
-The possible values are 0, 1 and 2, refering to the  C<sup>0</sup>, C<sup>1</sup>
-and C<sup>2</sup> continuity.\n
-<b>Type:</b> \c unsigned \c int between 0 and 2\n
-<b>Default:</b> `1`
-\cgalNPEnd
-
-\cgalNPBegin{sparse_linear_solver} \anchor PMP_sparse_linear_solver
-is the solver used.\n
-<b>Type:</b> a class model of `SparseLinearAlgebraWithFactorTraits_d`.\n
-<b>Default:</b> if \ref thirdpartyEigen "Eigen" 3.2 (or greater) is available and
-`CGAL_EIGEN3_ENABLED` is defined, then the following overload of `Eigen_solver_traits`
-is provided as default value:\n
-in `fair()`:\n
-\code CGAL::Eigen_solver_traits<Eigen::SparseLU<CGAL::Eigen_sparse_matrix<double>::EigenType, Eigen::COLAMDOrdering<int> > > \endcode
-in `smooth_shape()`:\n
-\code CGAL::Eigen_solver_traits<Eigen::BiCGSTAB<CGAL::Eigen_sparse_matrix<double>::EigenType, Eigen::IncompleteLUT<double> > > \endcode
-\cgalNPEnd
-
-\cgalNPBegin{number_of_iterations} \anchor PMP_number_of_iterations
-is the number of iterations of the sequence of iterations performed in `isotropic_remeshing()`.\n
-<b>Type:</b> \c unsigned \c int \n
-<b>Default:</b> `1`
-\cgalNPEnd
-
-\cgalNPBegin{protect_constraints} \anchor PMP_protect_constraints
-enables the protection of constraints listed by \ref PMP_edge_is_constrained_map
-"edge_is_constrained_map" and boundary edges
-in `isotropic_remeshing()`. If `true`, constraint edges cannot be modified at all
-during the remeshing process.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{collapse_constraints} \anchor PMP_collapse_constraints
-enables the collapse of constraints listed by \ref PMP_edge_is_constrained_map
-"edge_is_constrained_map" and boundary edges
-in `isotropic_remeshing()`. If `false`, constraint edges cannot be collapsed
-during the remeshing process.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{relax_constraints} \anchor PMP_relax_constraints
-enables the tangential relaxation step in `isotropic_remeshing()`
-to be performed on vertices that are endpoints of constraints listed
-by \ref PMP_edge_is_constrained_map "edge_is_constrained_map", and boundary edges.
-The vertices move along the constrained polylines they belong to.
-Corners (i.e. vertices incident to more than 2 constraints, and vertices listed in
-\ref PMP_vertex_is_constrained_map "vertex_is_constrained_map") are not allowed
-to move at all.
-If \ref PMP_protect_constraints "protect_constraints" is
-set to `true`, this parameter is ignored.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{number_of_relaxation_steps} \anchor PMP_number_of_relaxation_steps
-is the number of iterations of tangential relaxation that are performed at each iteration
-of `isotropic_remeshing()`. A larger number of relaxation steps lead to
-a more isotropic mesh.\n
-<b>Type:</b> \c unsigned \c int \n
-<b>Default:</b> `1`
-\cgalNPEnd
-
-\cgalNPBegin{use_delaunay_triangulation} \anchor PMP_use_delaunay_triangulation
-enables the use of the Delaunay triangulation facet search space for hole filling functions.
-If no valid triangulation can be found in this search space, the algorithm falls back to the
-non-Delaunay triangulations search space to find a solution.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{use_2d_constrained_delaunay_triangulation} \anchor PMP_use_2d_constrained_delaunay_triangulation
-enables the use of the 2D constrained Delaunay triangulation to triangulate the hole (the default is `true`),
-if no valid triangulation can be found, the algorithm falls back to the original algorithm to find a solution.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{use_random_uniform_sampling} \anchor PMP_use_random_uniform_sampling
-is a parameter used in `sample_triangle_mesh()` to indicate that the points are picked
-in a random uniform way.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{use_grid_sampling} \anchor PMP_use_grid_sampling
-is a parameter used in `sample_triangle_mesh()` to indicate that the points are picked
-on a grid in each face.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{use_monte_carlo_sampling} \anchor PMP_use_monte_carlo_sampling
-is a parameter used in `sample_triangle_mesh()` to indicate that the points are picked
-using a Monte-Carlo approach.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{sample_edges} \anchor PMP_sample_edges
-is a parameter used in `sample_triangle_mesh()` to indicate if a dedicated sampling
-of edges is done.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{sample_vertices} \anchor PMP_sample_vertices
-is a parameter used in `sample_triangle_mesh()` to indicate that triangle vertices are
-copied in the output iterator.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{sample_faces} \anchor PMP_sample_faces
-is a parameter used in `sample_triangle_mesh()` to indicate if the interior of faces
-is considered for the sampling.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{number_of_points_on_faces} \anchor PMP_number_of_points_on_faces
-is a parameter used in `sample_triangle_mesh()` to set the number of points picked
-using the random uniform method on faces.\n
-<b>Type:</b> `std::size_t` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{number_of_points_on_edges} \anchor PMP_number_of_points_on_edges
-is a parameter used in `sample_triangle_mesh()` to set the number of points picked
-using the random uniform method on edges.\n
-<b>Type:</b> `std::size_t` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{number_of_points_per_face} \anchor PMP_number_of_points_per_face
-is a parameter used in `sample_triangle_mesh()` to set the number of points picked
-per face using the Monte-Carlo method.\n
-<b>Type:</b> `std::size_t` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{number_of_points_per_edge} \anchor PMP_number_of_points_per_edge
-is a parameter used in `sample_triangle_mesh()` to set the number of points picked
-per edge using the Monte-Carlo method.\n
-<b>Type:</b> `std::size_t` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{grid_spacing} \anchor PMP_grid_spacing
-is a parameter used in `sample_triangle_mesh()` to set the grid spacing when using
-the grid sampling method.\n
-<b>Type:</b> `double` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{number_of_points_per_area_unit} \anchor PMP_number_of_points_per_area_unit
-is a parameter used in `sample_triangle_mesh()` to set the number of points per
-area unit to be picked up in faces for the random uniform sampling and
-Monte-Carlo methods.\n
-<b>Type:</b> `double` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{number_of_points_per_distance_unit} \anchor PMP_number_of_points_per_distance_unit
-is a parameter used in `sample_triangle_mesh()` to set the number of points per
-distance unit to be picked up on edges for the random uniform sampling and
-Monte-Carlo methods.\n
-<b>Type:</b> `double` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{do_project} \anchor PMP_do_project
-is a parameter used in `random_perturbation()` to set whether vertices are re-projected
-to the input surface after their geometric perturbation.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{random_seed} \anchor PMP_random_seed
-is a parameter used in `random_perturbation()` to choose a seed to initialize
-the random number generator `CGAL::Random()`.
-If this parameter is not provided, the perturbation is not deterministic
-(i.e. not reproducible from one run to the other).\n
-<b>Type:</b> `unsigned int` \n
-<b>Default:</b> the random number generator is initialized with `CGAL::Random()`
-\cgalNPEnd
-
-\cgalNPBegin{outward_orientation} \anchor PMP_outward_orientation
-Parameter used in orientation functions to choose between an outward or inward orientation.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-
-\cgalNPBegin{do_overlap_test_of_bounded_sides} \anchor PMP_do_overlap_test_of_bounded_sides
-Parameter used in intersection test functions to indicate whether overlapping tests of bounded sides
-of close meshes are done in addition to surface intersection tests.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{projection_functor} \anchor PMP_projection_functor
-Parameter used in `isotropic_remeshing()` to specify an alternative vertex projection method.
-\n
-<b>Type:</b> Unary function object with vertex descriptor as argument type. \n
-<b>Default:</b> A function object projecting vertices on the input surface.
-\cgalNPEnd
-
-\cgalNPBegin{apply_per_connected_component} \anchor PMP_apply_per_connected_component
-Parameter used to indicate whether an algorithm should consider each connected component
-of a mesh independently.\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{visitor} \anchor PMP_visitor
-Parameter used to pass a visitor class to a function. Its type and behavior depend on the visited function.
-\n
-<b>Type:</b> `A class` \n
-<b>Default:</b> Specific to the function visited
-\cgalNPEnd
-
-\cgalNPBegin{throw_on_self_intersection} \anchor PMP_throw_on_self_intersection
-Parameter used in corefinement-related functions to make the functions throw an exception in
-case some faces involved in the intersection of the input are self-intersecting
-and make the operation impossible with the current version of the code.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{clip_volume} \anchor PMP_clip_volume
-Parameter used in `clip()` functions to clip a volume rather than a surface.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{use_compact_clipper} \anchor PMP_use_compact_clipper
-Parameter used in `clip()` functions to indicate whether the boundary of the clipper
-should be considered as part of the clipping volume or not.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{output_iterator} \anchor PMP_output_iterator
-Parameter to pass an output iterator.
-\n
-\b Type : a model of `OutputIterator` \n
-\b Default : `#CGAL::Emptyset_iterator`
-\cgalNPEnd
-
-\cgalNPBegin{erase_all_duplicates} \anchor PMP_erase_all_duplicates
-Parameter used in the function `merge_duplicate_polygons_in_polygon_soup()` to indicate,
-when multiple faces are duplicates, whether all the duplicate faces should be removed
-or if one (arbitrarily chosen) face should be kept.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{require_same_orientation} \anchor PMP_require_same_orientation
-Parameter used in the function `merge_duplicate_polygons_in_polygon_soup()` to indicate
-if orientation should matter when determining whether two faces are duplicates.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{snapping_tolerance} \anchor PMP_snapping_tolerance
-Parameter used in the function `locate_in_face()` to to snap barycentric coordinates. Depending on the geometric traits used,
-the computation of the barycentric coordinates might be an inexact construction, thus leading
-to sometimes surprising values (e.g. a triplet `[0.5, 0.5, -1-e17]` for a point at the middle
-of an edge). The coordinates will be snapped towards `0` and `1` if the difference is smaller than the tolerance value, while
-still ensuring that the total sum of the coordinates is `1`.
-\n
-<b>Type:</b> `Kernel::FT` \n
-<b>Default:</b> `0`
-\cgalNPEnd
-
-\cgalNPBegin{use_angle_smoothing} \anchor PMP_use_angle_smoothing
-Parameter used in the function `smooth_mesh()` to indicate if angle-based smoothing should be used.
-When this type of smoothing is used, the algorithm attempts to equalize angles incident to each vertex.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{use_area_smoothing} \anchor PMP_use_area_smoothing
-Parameter used in the function `smooth_mesh()` to indicate if area-based smoothing should be used.
-When this type of smoothing is used, the algorithm attempts to equalize the areas of the triangles
-incident to each vertex. Since this can create elongated triangles, a second phase uses Delaunay-based
-flips to recover good shapes, unless specified otherwise (see below).
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{do_orientation_tests} \anchor PMP_do_orientation_tests
-Parameter used in `volume_connected_components()` to indicate if a surface orientation test
-must be performed to decide whether a surface connected component belong to a volume or not.
-\n
-\b Type : `bool` \n
-\b Default value is `true`
-\cgalNPEnd
-
-\cgalNPBegin{do_self_intersection_tests} \anchor PMP_do_self_intersection_tests
-Parameter used in `volume_connected_components()` to indicate if the input triangle mesh
-might contains self-intersections that must be taken into account while detecting volume
-connected components.
-\n
-\b Type : `bool` \n
-\b Default value is `false`
-\cgalNPEnd
-
-\cgalNPBegin{error_codes} \anchor PMP_error_codes
-a reference to an object that must be a model of the `BackInsertionSequence` concept,
-holding the classification of a volume connected component identified by its id.
-The size of the container is exactly the number of volume connected components and the
-object at position `k` in the container corresponds to the classification of the volume connected component
-assigned the id `k`.
-\n
-\b Type: a `reference_wrapper` (either from `boost` or the standard library)
-         over an object of type `container<Volume_error_code>` \n
-\b Default: None
-\cgalNPEnd
-
-\cgalNPBegin{face_connected_component_map} \anchor PMP_face_connected_component_map
-a property map that will contain for each face the id
-of its surface connected component in the range
-`[0, number of connected components - 1[`.
-\n
-<b>Type:</b> a class model of `WritablePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%face_descriptor` as key type and `std::size_t` as value type\n
-\b Default: None
-\cgalNPEnd
-
-\cgalNPBegin{volume_inclusions} \anchor PMP_volume_inclusions
-a reference to a container holding a container of id of surface connected components.
-The container must be a model of the `BackInsertionSequence` concept,
-with a value type being a model of `BackInsertionSequence` of ids,
-both types having the functions `reserve()` and `push_back()`.
-The size of the container is exactly the number of surface connected components of the triangle mesh considered
-The container at position `k` contains the id of each surface connected components
-that is the first intersected by a ray with source on the surface connected component `k`
-and directed outside the finite volume enclosed by the surface connected component `k`.
-\n
-\b Type: a `reference_wrapper` (either from `boost` or the standard library)
-         over an object of type `container< container<std::size_t> >` \n
-\b Default: None
-\cgalNPEnd
-
-\cgalParamBegin{connected_component_id_to_volume_id} \anchor PMP_connected_component_id_to_volume_id
-a `reference_wrapper` (either from `boost` or the standard library) containing
-a reference to an object that must be a model of the `BackInsertionSequence` concept,
-with a value_type being `std::size_t`.
-The size of the container is exactly the number of connected components.
-For each connected component identified using its id `ccid`, the id of the volume it contributes
-to is the value at the position `ccid` in the parameter container.
-\n
-\b Type: a `reference_wrapper` (either from `boost` or the standard library)
-         over an object of type `container<std::size_t>` \n
-\b Default: None
-\cgalParamEnd
-
-\cgalParamBegin{nesting_levels} \anchor PMP_nesting_levels
-a `reference_wrapper` (either from `boost` or the standard library) containing
-a reference to an object that must be a model of the `BackInsertionSequence` concept,
-with a value_type being `std::size_t`.
-The size of the container is exactly the number of connected components.
-For each connected component identified using its id `ccid`, the container contains the number of
-connected components containing on their bounded side this component.
-\n
-\b Type: a `reference_wrapper` (either from `boost` or the standard library)
-         over an object of type `container<std::size_t>` \n
-\b Default: None
-\cgalParamEnd
-
-\cgalParamBegin{is_cc_outward_oriented} \anchor PMP_is_cc_outward_oriented
-a `reference_wrapper` (either from `boost` or the standard library) containing
-a reference to an object that must be a model of the `BackInsertionSequence` concept,
-with a value_type being `bool`.
-The size of the container is exactly the number of connected components.
-For each connected component identified using its id `ccid`, the output of `is_outward_oriented`
-called on the submesh corresponding to this connected component
-is the value at the position `ccid` in the parameter container.
-\n
-\b Type: a `reference_wrapper` (either from `boost` or the standard library)
-         over an object of type `container<bool>` \n
-\b Default: None
-\cgalParamEnd
-
-\cgalParamBegin{intersecting_volume_pairs_output_iterator} \anchor PMP_intersecting_volume_pairs_output_iterator
-Output iterator into which pairs of ids (id must be convertible to `std::size_t`) can be put.
-Each pair of connected components intersecting will be reported using their ids.
-If `do_self_intersection_tests` named parameter is set to `false`, nothing will be reported.
-\b Type : a model of `OutputIterator` \n
-\b Default : `#CGAL::Emptyset_iterator`
-\cgalParamEnd
-
-\cgalNPBegin{use_Delaunay_flips} \anchor PMP_use_Delaunay_flips
-Parameter used in the function `smooth_mesh()` to indicate if Delaunay-based flips should be used
-after area-based smoothing has been performed. A user wishing to preserve combinatorial information
-can set this parameter to `false`, but the mesh might have elongated elements.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{use_safety_constraints} \anchor PMP_use_safety_constraints
-Parameter used in the function `smooth_mesh()` to indicate if some sanity checks should be used to decide
-if the move of a vertex should be applied or rejected. These sanity checks consists of checking that
-no face incident to the vertex becomes inverted and that the minimum angle of the incident faces
-is not decreased by the move.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `true`
-\cgalNPEnd
-
-\cgalNPBegin{face_size_map} \anchor PMP_face_size_map
-Parameter used in the functions `keep_large_connected_components()` and
-`keep_largest_connected_components()` to pass a property map that gives the size of a face when
-evaluating the size of a connected component (which is defined as the sum of the sizes of its faces).
-\n
-<b>Type:</b> a class model of `ReadablePropertyMap` with
-`boost::graph_traits<PolygonMesh>::%face_descriptor` as key type and
-a value type supporting construction from `0`, `operator+=()`, and comparison operators. \n
-<b>Default:</b> `CGAL::Constant_property_map<face_descriptor, std::size_t>` with value `1`
-\cgalNPEnd
-
-\cgalNPBegin{area_threshold} \anchor PMP_area_threshold
-Parameter used in the function `remove_connected_components_of_negligible_size()`
-to pass a threshold value such that all connected components with an area smaller
-than this value are removed from the mesh.
-\n
-<b>Type:</b> `Kernel::FT` \n
-<b>Default:</b> The square of one percent of the length of the diagonal of the bounding box of the mesh.
-\cgalNPEnd
-
-\cgalNPBegin{volume_threshold} \anchor PMP_volume_threshold
-Parameter used in the function `remove_connected_components_of_negligible_size()`
-to pass a threshold value such that all (closed) connected components with a volume smaller
-than this value are removed from the mesh.
-\n
-<b>Type:</b> `Kernel::FT` \n
-<b>Default:</b> The third power of one percent of the length of the diagonal of the bounding box of the mesh.
-\cgalNPEnd
-
-
-\cgalNPBegin{dry_run} \anchor PMP_dry_run
-Parameter that tells a function not to alter the input, but rather to only return the expected result.
-It is for example used in the fucntion `keep_large_connected_components()`.
-\n
-<b>Type:</b> `bool` \n
-<b>Default:</b> `false`
-\cgalNPEnd
-
-\cgalNPBegin{maximum_number_of_faces} \anchor PMP_maximum_number_of_faces
-
-Parameter that specifies the maximum number of faces that a component
-of a mesh can have to be considered reversible \n
-If it is left default, then it is ignored and all components are considered reversible. \n
-<b>Type:</b> `size_type` \n
-<b>Default:</b> 0
-\cgalNPEnd
-
-\cgalNPTableEnd
-
-*/
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index 9341f0e8eec..cba88c6c27f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -176,7 +176,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
     tracer(out, pmesh, P_edges);
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
-    if(use_cdt && triangulate_hole_polyline_with_cdt(P, Q, tracer, is_valid, k))
+    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k))
     {
       return std::make_pair(tracer.out, CGAL::internal::Weight_min_max_dihedral_and_area(0,0));
     }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 84b86c5f7e0..f876f839488 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1210,16 +1210,87 @@ public:
  ************************************************************************/
 // /!\ points.first == points.last
 
+template <typename Traits>
+bool is_planar_2(
+  const std::vector<typename Traits::Point_3>& points,
+  const typename Traits::Vector_3& avg_normal,
+  const typename Traits::FT max_distance,
+  const Traits& traits) {
+
+  typedef typename Traits::FT FT;
+  typedef typename Traits::Point_3 Point_3;
+  typedef typename Traits::Plane_3 Plane_3;
+  typedef typename Traits::Compute_squared_distance_3 Squared_distance_3;
+
+  const Squared_distance_3 squared_distance_3 =
+    traits.compute_squared_distance_3_object();
+
+  const std::size_t n = points.size() - 1; // the first equals to the last
+  if (n < 3)
+    return false; // cant be a plane!
+
+  // Compute centroid.
+  FT cx = FT(0), cy = FT(0), cz = FT(0);
+  for (std::size_t i = 0; i < n; ++i) {
+    const Point_3& p = points[i];
+    cx += p.x();
+    cy += p.y();
+    cz += p.z();
+  }
+  cx /= static_cast<FT>(n);
+  cy /= static_cast<FT>(n);
+  cz /= static_cast<FT>(n);
+  const Point_3 centroid = Point_3(cx, cy, cz);
+
+  // Compute covariance matrix.
+  FT xx = FT(0), yy = FT(0), zz = FT(0);
+  FT xy = FT(0), xz = FT(0), yz = FT(0);
+  for (std::size_t i = 0; i < n; ++i) {
+    const Point_3& p = points[i];
+    const FT dx = p.x() - cx;
+    const FT dy = p.y() - cy;
+    const FT dz = p.z() - cz;
+    xx += dx * dx; yy += dy * dy; zz += dz * dz;
+    xy += dx * dy; xz += dx * dz; yz += dy * dz;
+  }
+
+  // Check the planarity.
+  const FT x = yy * zz - yz * yz;
+  const FT y = xx * zz - xz * xz;
+  const FT z = xx * yy - xy * xy;
+  FT maxv = -FT(1);
+  maxv = (CGAL::max)(maxv, x);
+  maxv = (CGAL::max)(maxv, y);
+  maxv = (CGAL::max)(maxv, z);
+  if (maxv <= FT(0))
+    return false; // a good plane does not exist for sure!
+
+  const Plane_3 plane = Plane_3(centroid, avg_normal);
+  FT avg_sq_distance = FT(0);
+  for (std::size_t i = 0; i < n; ++i) {
+    const Point_3& p = points[i];
+    const Point_3  q = plane.projection(p);
+    avg_sq_distance += squared_distance_3(p, q);
+  }
+  avg_sq_distance /= static_cast<FT>(n);
+  // std::cout << "avg squared distance: " << avg_sq_distance << std::endl;
+
+  const FT sq_tolerance = max_distance * max_distance;
+  if (avg_sq_distance > sq_tolerance)
+    return false; // the user distance criteria are not satisfied!
+
+  // std::cout << "The hole seems to be near planar." << std::endl;
+  return true;
+}
+
 template <
-  typename PointRange1, // need size()
-  typename PointRange2,
+  typename PointRange, // need size()
   typename Tracer,
   typename Validity_checker,
   typename Traits
 >
 bool
-triangulate_hole_polyline_with_cdt(const PointRange1& points,
-                                   const PointRange2& third_points,
+triangulate_hole_polyline_with_cdt(const PointRange& points,
                                    Tracer& tracer,
                                    const Validity_checker& is_valid,
                                    const Traits& traits)
@@ -1228,30 +1299,21 @@ triangulate_hole_polyline_with_cdt(const PointRange1& points,
   typedef typename Traits::Point_3 Point_3;
   typedef typename Traits::Vector_3 Vector_3;
   typedef typename Traits::Collinear_3 Collinear_3;
-  typedef typename Traits::Compute_squared_length_3 Squared_length_3;
 
   // Compute an average normal of the hole.
-  const Squared_length_3 squared_length_3 =
-    traits.compute_squared_length_3_object();
   const Collinear_3 collinear_3 =
     traits.collinear_3_object();
 
   std::vector<Point_3> P(boost::begin(points), boost::end(points));
-  std::vector<Point_3> Q(boost::begin(third_points), boost::end(third_points));
-
-  if (P.front() != P.back()) {
+  CGAL_assertion(P.size() >= 3);
+  if (P.front() != P.back())
     P.push_back(P.front());
-    if (!Q.empty() && P.size() > Q.size()) {
-      Q.push_back(Q.front());
-    }
-  }
-  CGAL_assertion(P.size() == Q.size());
 
   FT x = FT(0), y = FT(0), z = FT(0);
   std::size_t num_normals = 0;
   const Point_3& ref_point = P[0];
   const std::size_t size = P.size() - 1;
-  for (std::size_t i = 1; i < size; ++i) {
+  for (std::size_t i = 1; i < size - 1; ++i) {
     const std::size_t ip = i + 1;
 
     const Point_3& p1 = ref_point; // 3 points, which form a triangle
@@ -1279,37 +1341,17 @@ triangulate_hole_polyline_with_cdt(const PointRange1& points,
   if (num_normals < 1)
     return false;
 
-  // Find non-collinear the hole boundary points in order
-  // to check the hole orientation.
-  std::vector<Point_3> pts;
-  pts.reserve(3);
-  pts.push_back(ref_point);
-  for (std::size_t i = 1; i < size; ++i) {
-    const std::size_t ip = i + 1;
-    const Point_3& p1 = ref_point;
-    const Point_3& p2 = P[i];
-    const Point_3& p3 = P[ip];
-    if (!collinear_3(p1, p2, p3)) {
-      pts.push_back(p2);
-      pts.push_back(p3);
-      break;
-    }
-  }
-
-  // Not sure about that!
-  if (CGAL::orientation(pts[0], pts[1], pts[2], Q[0]) != CGAL::NEGATIVE) {
-    // std::cout << "positive" << std::endl;
-  } else {
-    // std::cout << "negative" << std::endl;
-    x = -x; y = -y; z = -z;
-  }
-
   // Setting the final normal.
   x /= static_cast<FT>(num_normals);
   y /= static_cast<FT>(num_normals);
   z /= static_cast<FT>(num_normals);
   const Vector_3 avg_normal = Vector_3(x, y, z);
-  // std::cout << "avg: " << avg_normal << std::endl;
+  // std::cout << "avg normal: " << avg_normal << std::endl;
+
+  // Checking the hole planarity.
+  const FT max_distance = FT(2) / FT(100);
+  if (!is_planar_2(P, avg_normal, max_distance, traits))
+    return false;
 
   // Checking the hole simplicity.
   typedef Triangulation_2_projection_traits_3<Traits> P_traits;
@@ -1318,88 +1360,81 @@ triangulate_hole_polyline_with_cdt(const PointRange1& points,
      return false;
 
   Lookup_table_map<int> lambda(static_cast<int>(size), -1);
+
   // Create and fill the cdt_2.
   typedef CGAL::Triangulation_vertex_base_with_info_2<std::size_t, P_traits> Vb;
   typedef CGAL::Triangulation_face_base_with_info_2<bool, P_traits>          Fbi;
   typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fbi>         Fb;
-  typedef CGAL::Triangulation_data_structure_2<Vb,Fb>                        TDS;
-  typedef CGAL::No_constraint_intersection_tag                               Itag; // If the polygon is simple, there should be no intersection.
+  typedef CGAL::Triangulation_data_structure_2<Vb, Fb>                       TDS;
+  // If the polygon is simple, there should be no intersection.
+  typedef CGAL::No_constraint_intersection_tag                               Itag;
   typedef CGAL::Constrained_Delaunay_triangulation_2<P_traits, TDS, Itag>    CDT;
   P_traits cdt_traits(avg_normal);
   CDT cdt(cdt_traits);
 
-  std::vector< std::pair<Point_3,std::size_t> > points_and_ids;
+  std::vector< std::pair<Point_3, std::size_t> > points_and_ids;
   points_and_ids.reserve(size);
-  std::vector<typename CDT::Vertex_handle> vertices(size);
   for (std::size_t i = 0; i < size; ++i)
-  {
-    points_and_ids.push_back(std::make_pair(P[i],i));
-  }
+    points_and_ids.push_back(std::make_pair(P[i], i));
+
+  std::vector<typename CDT::Vertex_handle> vertices(size);
   cdt.insert(points_and_ids.begin(), points_and_ids.end());
   for (typename CDT::Vertex_handle v : cdt.finite_vertex_handles())
-  {
     vertices[v->info()] = v;
+
+  for (std::size_t i = 0; i < size; ++i) {
+    const std::size_t ip = (i + 1) % size;
+    if (vertices[i] != vertices[ip])
+      cdt.insert_constraint(vertices[i], vertices[ip]);
   }
 
-  for (std::size_t i = 0; i < size; ++i)
-  {
-    cdt.insert_constraint(vertices[i], vertices[(i + 1) % (size)]);
-  }
-
-  // Sets mark is_external.
+  // Mark external faces.
   for (typename CDT::All_faces_iterator fit = cdt.all_faces_begin(),
-    end = cdt.all_faces_end(); fit != end; ++fit)
-  {
+  end = cdt.all_faces_end(); fit != end; ++fit)
     fit->info() = false;
-  }
+
   std::queue<typename CDT::Face_handle> face_queue;
   face_queue.push(cdt.infinite_vertex()->face());
-  while (!face_queue.empty())
-  {
+  while (!face_queue.empty()) {
+
     typename CDT::Face_handle fh = face_queue.front();
     face_queue.pop();
-
     if (fh->info())
       continue;
 
     fh->info() = true;
     for (std::size_t i = 0; i < 3; ++i)
-    {
       if (!cdt.is_constrained(typename CDT::Edge(fh, i)))
-      {
         face_queue.push(fh->neighbor(i));
-      }
-    }
   }
-  if (cdt.dimension() != 2 ||
-    cdt.number_of_vertices() != size)
-  {
+
+  if (cdt.dimension() != 2 || cdt.number_of_vertices() != size)
     return false;
-  }
 
   // Fill the lambda.
   for (typename CDT::Finite_faces_iterator fit = cdt.finite_faces_begin(),
-    end = cdt.finite_faces_end(); fit != end; ++fit)
-  {
-    if (!fit->info()) // if !is external
-    {
+  end = cdt.finite_faces_end(); fit != end; ++fit) {
+    if (!fit->info()) { // if it is not external
+
       std::vector<std::size_t> is(3);
       for (std::size_t i = 0; i < 3; ++i)
-      {
         is[i] = fit->vertex(i)->info();
-      }
+
       std::sort(is.begin(), is.end());
-      lambda.put(is[0],is[2], is[1]);
+      lambda.put(is[0], is[2], is[1]);
       if (!is_valid(P, is[0], is[1], is[2]))
         return false;
     }
   }
 
-  // Call the tracer.
+  // Call the tracer. It correctly orients the patch faces.
+  // std::cout << "CDT is being used!" << std::endl;
   tracer(lambda, 0, size - 1);
   return true;
 }
+
 #endif
+
 /*******************************************************************************
  * Internal entry point for both polyline and Polyhedron_3 triangulation functions
  ***********************************************************************************/
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 21e542f434d..80ac30259b4 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -50,24 +50,37 @@ namespace Polygon_mesh_processing {
   @tparam PolygonMesh a model of `MutableFaceGraph`
   @tparam OutputIterator a model of `OutputIterator`
     holding `boost::graph_traits<PolygonMesh>::%face_descriptor` for patch faces.
-  @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
+  @tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
 
   @param pmesh polygon mesh containing the hole
   @param border_halfedge a border halfedge incident to the hole
   @param out iterator over patch faces
-  @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
+  @param np an optional sequence of \ref bgl_namedparameters "Named Parameters" among the ones listed below
 
   \cgalNamedParamsBegin
-     \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
-         If this parameter is omitted, an internal property map for
-         `CGAL::vertex_point_t` must be available in `PolygonMesh`\cgalParamEnd
-     \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
-         If no valid triangulation can be found in this search space, the algorithm falls back to the
-         non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
-     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
-         original algorithm to find a solution.\cgalParamEnd
-     \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
+    \cgalParamNBegin{vertex_point_map}
+      \cgalParamDescription{a property map associating points to the vertices of `pmesh`}
+      \cgalParamType{a class model of `ReadWritePropertyMap` with `boost::graph_traits<PolygonMesh>::%vertex_descriptor`
+                     as key type and `%Point_3` as value type}
+      \cgalParamDefault{`boost::get(CGAL::vertex_point, pmesh)`}
+      \cgalParamExtra{If this parameter is omitted, an internal property map for `CGAL::vertex_point_t`
+                      must be available in `PolygonMesh`.}
+    \cgalParamNEnd
+
+    \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.}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{use_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   @return `out`
@@ -152,27 +165,45 @@ namespace Polygon_mesh_processing {
      holding `boost::graph_traits<PolygonMesh>::%face_descriptor` for patch faces.
   @tparam VertexOutputIterator model of `OutputIterator`
      holding `boost::graph_traits<PolygonMesh>::%vertex_descriptor` for patch vertices.
-  @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
+  @tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
 
   @param pmesh polygon mesh which has the hole
   @param border_halfedge a border halfedge incident to the hole
   @param face_out output iterator over patch faces
   @param vertex_out output iterator over patch vertices without including the boundary
-  @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
+  @param np an optional sequence of \ref bgl_namedparameters "Named Parameters" among the ones listed below
 
   \cgalNamedParamsBegin
-     \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
-         If this parameter is omitted, an internal property map for
-         `CGAL::vertex_point_t` should be available in `PolygonMesh`\cgalParamEnd
-     \cgalParamBegin{density_control_factor} factor to control density of the ouput mesh, where larger values
-         cause denser refinements, as in `refine()` \cgalParamEnd
-     \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
-         If no valid triangulation can be found in this search space, the algorithm falls back to the
-         non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
-     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
-         original algorithm to find a solution.\cgalParamEnd
-     \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
+    \cgalParamNBegin{vertex_point_map}
+      \cgalParamDescription{a property map associating points to the vertices of `pmesh`}
+      \cgalParamType{a class model of `ReadWritePropertyMap` with `boost::graph_traits<PolygonMesh>::%vertex_descriptor`
+                     as key type and `%Point_3` as value type}
+      \cgalParamDefault{`boost::get(CGAL::vertex_point, pmesh)`}
+      \cgalParamExtra{If this parameter is omitted, an internal property map for `CGAL::vertex_point_t`
+                      must be available in `PolygonMesh`.}
+    \cgalParamNEnd
+
+    \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.}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{use_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{density_control_factor}
+      \cgalParamDescription{factor to control density of the ouput mesh,
+                            where larger values cause denser refinements, as in `refine()`}
+      \cgalParamType{double}
+      \cgalParamDefault{\f$ \sqrt{2}\f$}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   @return pair of `face_out` and `vertex_out`
@@ -225,30 +256,63 @@ namespace Polygon_mesh_processing {
       holding `boost::graph_traits<PolygonMesh>::%face_descriptor` for patch faces
   @tparam VertexOutputIterator model of `OutputIterator`
       holding `boost::graph_traits<PolygonMesh>::%vertex_descriptor` for patch vertices
-  @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
+  @tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
 
   @param pmesh polygon mesh which has the hole
   @param border_halfedge a border halfedge incident to the hole
   @param face_out output iterator over patch faces
   @param vertex_out output iterator over patch vertices without including the boundary
-  @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
+  @param np an optional sequence of \ref bgl_namedparameters "Named Parameters" among the ones listed below
 
   \cgalNamedParamsBegin
-     \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
-         If this parameter is omitted, an internal property map for
-         `CGAL::vertex_point_t` should be available in `PolygonMesh`
-         \cgalParamEnd
-     \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
-         If no valid triangulation can be found in this search space, the algorithm falls back to the
-         non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
-     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
-         original algorithm to find a solution.\cgalParamEnd
-     \cgalParamBegin{density_control_factor} factor to control density of the ouput mesh, where larger values
-         cause denser refinements, as in `refine()` \cgalParamEnd
-     \cgalParamBegin{fairing_continuity} tangential continuity of the output surface patch \cgalParamEnd
-     \cgalParamBegin{sparse_linear_solver} an instance of the sparse linear solver used for fairing \cgalParamEnd
-     \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
+    \cgalParamNBegin{vertex_point_map}
+      \cgalParamDescription{a property map associating points to the vertices of `pmesh`}
+      \cgalParamType{a class model of `ReadWritePropertyMap` with `boost::graph_traits<PolygonMesh>::%vertex_descriptor`
+                     as key type and `%Point_3` as value type}
+      \cgalParamDefault{`boost::get(CGAL::vertex_point, pmesh)`}
+      \cgalParamExtra{If this parameter is omitted, an internal property map for `CGAL::vertex_point_t`
+                      must be available in `PolygonMesh`.}
+    \cgalParamNEnd
+
+    \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.}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{use_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{density_control_factor}
+      \cgalParamDescription{factor to control density of the ouput mesh,
+                            where larger values cause denser refinements, as in `refine()`}
+      \cgalParamType{double}
+      \cgalParamDefault{\f$ \sqrt{2}\f$}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{fairing_continuity}
+      \cgalParamDescription{A value controling the tangential continuity of the output surface patch.
+                            The possible values are 0, 1 and 2, refering to the  C<sup>0</sup>, C<sup>1</sup>
+                            and C<sup>2</sup> continuity.}
+      \cgalParamType{unsigned int}
+      \cgalParamDefault{`1`}
+      \cgalParamExtra{The larger `fairing_continuity` gets, the more fixed vertices are required.}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{sparse_linear_solver}
+      \cgalParamDescription{an instance of the sparse linear solver used for fairing}
+      \cgalParamType{a class model of `SparseLinearAlgebraWithFactorTraits_d`}
+      \cgalParamDefault{If \ref thirdpartyEigen "Eigen" 3.2 (or greater) is available and
+                        `CGAL_EIGEN3_ENABLED` is defined, then the following overload of `Eigen_solver_traits`
+                        is provided as default value:\n
+                        `CGAL::Eigen_solver_traits<Eigen::SparseLU<CGAL::Eigen_sparse_matrix<double>::%EigenType, Eigen::COLAMDOrdering<int> > >`}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   @return tuple of
@@ -328,22 +392,29 @@ namespace Polygon_mesh_processing {
      and the corresponding value type `type` must have
      a constructor `type(int p0, int p1, int p2)` available.
      The indices correspond to the ones of input points in `points`.
-  @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
+  @tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
 
   @param points the range of input points
   @param third_points the range of third points
   @param out iterator over output patch triangles, described by indices of points
              in `points`
-  @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
+  @param np an optional sequence of \ref bgl_namedparameters "Named Parameters" among the ones listed below
 
   \cgalNamedParamsBegin
-     \cgalParamBegin{use_delaunay_triangulation} if `true`, use the Delaunay triangulation facet search space.
-         If no valid triangulation can be found in this search space, the algorithm falls back to the
-         non-Delaunay triangulations search space to find a solution \cgalParamEnd
-     \cgalParamBegin{use_2d_constrained_delaunay_triangulation} if `true` (the default), use the 2D constrained Delaunay triangulation
-     to triangulate the hole. If no valid triangulation can be found, the algorithm falls back to the
-         original algorithm to find a solution.\cgalParamEnd
-     \cgalParamBegin{geom_traits} a geometric traits class instance \cgalParamEnd
+    \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.}
+    \cgalParamNEnd
+
+    \cgalParamNBegin{use_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   \todo handle islands
@@ -399,7 +470,6 @@ bool use_dt3 =
     if(!use_cdt ||
        !triangulate_hole_polyline_with_cdt(
          points,
-         third_points,
          tracer,
          is_valid,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))
@@ -426,7 +496,7 @@ bool use_dt3 =
 
   /*!
   \ingroup  hole_filling_grp
-  same as above but the range of third points is omitted. They are not
+  Same as above but the range of third points is omitted. They are not
   taken into account in the cost computation that leads the hole filling.
 */
   template <typename PointRange,
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_nonsimple_hole.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_complex_hole.off
similarity index 100%
rename from Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_nonsimple_hole.off
rename to Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_complex_hole.off
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_concave_hole.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_concave_hole.off
new file mode 100644
index 00000000000..c60180fb2fe
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_concave_hole.off
@@ -0,0 +1,8299 @@
+OFF
+2771 5526 0
+0.262933 0.102269 0.138247 
+0.0843142 0.0418575 -0.0419302 
+0.0676609 -0.0308717 0.133371 
+0.202895 0.468475 0.0802072 
+0.113075 -0.465378 -0.0546734 
+0.225577 -0.277149 -0.193776 
+-0.146525 -0.22403 -0.169286 
+-0.0249865 -0.129931 -0.13238 
+-0.160965 -0.480027 -0.0707824 
+0.0794063 -0.415277 -0.0839096 
+0.0469116 -0.050008 0.252355 
+-0.0998372 -0.193745 -0.16268 
+-0.111131 -0.104825 -0.14166 
+-0.061459 -0.0977343 -0.133353 
+-0.247783 -0.131539 0.0722694 
+-0.145972 -0.486627 -0.0633275 
+0.0916759 0.0333604 -0.133002 
+-0.184954 -0.325468 -0.133853 
+0.0847778 -0.432659 -0.0978527 
+-0.210776 -0.299151 0.0751516 
+-0.151539 -0.388715 0.01282 
+-0.154564 -0.438244 -0.0249412 
+-0.123411 -0.0182656 0.0135824 
+0.00773278 -0.053391 -0.0428874 
+-0.0774524 -0.292395 -0.106335 
+0.0201594 -0.263586 0.119859 
+-0.105646 -0.0365155 -0.0770751 
+-0.113391 -0.41896 -0.0906771 
+-0.128213 -0.46259 -0.0994907 
+-0.160526 -0.468057 -0.0393445 
+0.197609 -0.127492 -0.0574767 
+0.0757306 -0.449539 -0.0614557 
+0.147148 -0.412461 -0.0801639 
+0.103782 -0.333007 0.0288926 
+0.108917 -0.401981 -0.00841926 
+0.11392 -0.408931 -0.0973654 
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diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_simple_hole.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_curved_hole.off
similarity index 100%
rename from Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_simple_hole.off
rename to Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_curved_hole.off
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_flat_hole.off b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_flat_hole.off
new file mode 100644
index 00000000000..3f8c87985b1
--- /dev/null
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/data/elephant_flat_hole.off
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diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index 557a3460321..3c04b35870c 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -11,6 +11,7 @@
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
 #include <CGAL/Polygon_mesh_processing/triangulate_hole.h>
+#include <CGAL/Polygon_mesh_processing/orientation.h>
 
 template<
 class PolygonMesh,
@@ -96,6 +97,8 @@ void test_triangulate_hole_with_cdt_2(
     assert(patch_faces.size() == num_patch_faces);
   }
   assert(pmesh.is_valid() && is_closed(pmesh));
+  assert(CGAL::Polygon_mesh_processing::is_outward_oriented(pmesh,
+  CGAL::parameters::all_default()));
 
   // Writing the file.
   if (verbose) {
@@ -124,7 +127,7 @@ int main(int argc, char **argv) {
   test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
     "exact_exact", argc, argv, "w_horizontal_hole", 2, 25, false);
   std::cout <<
-    "test_triangulate_hole_with_cdt_2: horizontal hole SUCCESS" << std::endl;
+    "test_triangulate_hole_with_cdt_2: horizontal planar hole SUCCESS" << std::endl;
 
   // Checking on a data file with two planar, simple, and orthogonal holes.
   test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
@@ -132,23 +135,39 @@ int main(int argc, char **argv) {
   test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
     "exact_exact", argc, argv, "w_orthogonal_hole", 2, 2, false);
   std::cout <<
-    "test_triangulate_hole_with_cdt_2: orthogonal hole SUCCESS" << std::endl;
+    "test_triangulate_hole_with_cdt_2: orthogonal planar hole SUCCESS" << std::endl;
+
+  // Checking on a data file with two planar, simple, and horizontal holes.
+  test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
+    "exact_inexact", argc, argv, "elephant_flat_hole", 1, 17, false);
+  test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
+    "exact_exact", argc, argv, "elephant_flat_hole", 1, 17, false);
+  std::cout <<
+    "test_triangulate_hole_with_cdt_2: near flat hole SUCCESS" << std::endl;
+
+  // Checking on a data file with two planar, simple, and horizontal holes.
+  test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
+    "exact_inexact", argc, argv, "elephant_concave_hole", 1, 24, false);
+  test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
+    "exact_exact", argc, argv, "elephant_concave_hole", 1, 24, false);
+  std::cout <<
+    "test_triangulate_hole_with_cdt_2: concave hole SUCCESS" << std::endl;
 
   // Checking on a data file with one simple but not a planar hole.
   test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
-    "exact_inexact", argc, argv, "elephant_simple_hole", 1, 19, false);
+    "exact_inexact", argc, argv, "elephant_curved_hole", 1, 19, false);
   test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
-    "exact_exact", argc, argv, "elephant_simple_hole", 1, 19, false);
+    "exact_exact", argc, argv, "elephant_curved_hole", 1, 19, false);
   std::cout <<
-    "test_triangulate_hole_with_cdt_2: simple hole SUCCESS" << std::endl;
+    "test_triangulate_hole_with_cdt_2: curved hole SUCCESS" << std::endl;
 
   // Checking on a data file with one hole that is neither simple nor planar.
   test_triangulate_hole_with_cdt_2<Surface_mesh_EI, EI>(
-    "exact_inexact", argc, argv, "elephant_nonsimple_hole", 1, 29, false);
+    "exact_inexact", argc, argv, "elephant_complex_hole", 1, 29, false);
   test_triangulate_hole_with_cdt_2<Polyhedron_3_EE, EE>(
-    "exact_exact", argc, argv, "elephant_nonsimple_hole", 1, 29, false);
+    "exact_exact", argc, argv, "elephant_complex_hole", 1, 29, false);
   std::cout <<
-    "test_triangulate_hole_with_cdt_2: non simple hole SUCCESS" << std::endl;
+    "test_triangulate_hole_with_cdt_2: complex hole SUCCESS" << std::endl;
 
   return EXIT_SUCCESS;
 }

From ddf82f11d2f8f669f1080344fb7d9b21b41cd91e Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 3 Aug 2020 18:32:42 +0200
Subject: [PATCH 050/317] andreas review fixes

---
 .../Hole_filling/Triangulate_hole_polyline.h  | 92 ++++++++++++-------
 .../triangulate_hole.h                        |  2 +-
 .../triangulate_hole_with_cdt_2_test.cpp      | 14 ++-
 3 files changed, 67 insertions(+), 41 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index f876f839488..7b31d96b06f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -24,6 +24,7 @@
 #endif
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
+#include <CGAL/barycenter.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
@@ -1210,6 +1211,15 @@ public:
  ************************************************************************/
 // /!\ points.first == points.last
 
+template <typename Point_3, typename FT>
+struct Pair_from_point {
+  typedef Point_3 argument_type;
+  typedef std::pair<Point_3, FT> result_type;
+  result_type operator() (const argument_type& p) const {
+    return std::make_pair(p, FT(1));
+  }
+};
+
 template <typename Traits>
 bool is_planar_2(
   const std::vector<typename Traits::Point_3>& points,
@@ -1226,30 +1236,25 @@ bool is_planar_2(
     traits.compute_squared_distance_3_object();
 
   const std::size_t n = points.size() - 1; // the first equals to the last
-  if (n < 3)
+  if (n < 3) {
     return false; // cant be a plane!
+  }
 
   // Compute centroid.
-  FT cx = FT(0), cy = FT(0), cz = FT(0);
-  for (std::size_t i = 0; i < n; ++i) {
-    const Point_3& p = points[i];
-    cx += p.x();
-    cy += p.y();
-    cz += p.z();
-  }
-  cx /= static_cast<FT>(n);
-  cy /= static_cast<FT>(n);
-  cz /= static_cast<FT>(n);
-  const Point_3 centroid = Point_3(cx, cy, cz);
+  const Point_3 centroid = CGAL::barycenter(
+    boost::make_transform_iterator(
+      points.begin(), Pair_from_point<Point_3, FT>()),
+    boost::make_transform_iterator(
+      points.end() - 1, Pair_from_point<Point_3, FT>()));
 
   // Compute covariance matrix.
   FT xx = FT(0), yy = FT(0), zz = FT(0);
   FT xy = FT(0), xz = FT(0), yz = FT(0);
   for (std::size_t i = 0; i < n; ++i) {
     const Point_3& p = points[i];
-    const FT dx = p.x() - cx;
-    const FT dy = p.y() - cy;
-    const FT dz = p.z() - cz;
+    const FT dx = p.x() - centroid.x();
+    const FT dy = p.y() - centroid.y();
+    const FT dz = p.z() - centroid.z();
     xx += dx * dx; yy += dy * dy; zz += dz * dz;
     xy += dx * dy; xz += dx * dz; yz += dy * dz;
   }
@@ -1262,8 +1267,9 @@ bool is_planar_2(
   maxv = (CGAL::max)(maxv, x);
   maxv = (CGAL::max)(maxv, y);
   maxv = (CGAL::max)(maxv, z);
-  if (maxv <= FT(0))
+  if (maxv <= FT(0)) {
     return false; // a good plane does not exist for sure!
+  }
 
   const Plane_3 plane = Plane_3(centroid, avg_normal);
   FT avg_sq_distance = FT(0);
@@ -1275,9 +1281,10 @@ bool is_planar_2(
   avg_sq_distance /= static_cast<FT>(n);
   // std::cout << "avg squared distance: " << avg_sq_distance << std::endl;
 
-  const FT sq_tolerance = max_distance * max_distance;
-  if (avg_sq_distance > sq_tolerance)
+  const FT sq_tolerance = CGAL::square(max_distance);
+  if (avg_sq_distance > sq_tolerance) {
     return false; // the user distance criteria are not satisfied!
+  }
 
   // std::cout << "The hole seems to be near planar." << std::endl;
   return true;
@@ -1306,8 +1313,9 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
 
   std::vector<Point_3> P(boost::begin(points), boost::end(points));
   CGAL_assertion(P.size() >= 3);
-  if (P.front() != P.back())
+  if (P.front() != P.back()) {
     P.push_back(P.front());
+  }
 
   FT x = FT(0), y = FT(0), z = FT(0);
   std::size_t num_normals = 0;
@@ -1321,8 +1329,9 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     const Point_3& p3 = P[ip];
 
     // Skip in case we have collinear points.
-    if (collinear_3(p1, p2, p3))
+    if (collinear_3(p1, p2, p3)) {
       continue;
+    }
 
     // Computing the normal of a triangle.
     const Vector_3 n = CGAL::normal(p1, p2, p3);
@@ -1338,8 +1347,9 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     ++num_normals;
   }
 
-  if (num_normals < 1)
+  if (num_normals < 1) {
     return false;
+  }
 
   // Setting the final normal.
   x /= static_cast<FT>(num_normals);
@@ -1350,14 +1360,16 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
 
   // Checking the hole planarity.
   const FT max_distance = FT(2) / FT(100);
-  if (!is_planar_2(P, avg_normal, max_distance, traits))
+  if (!is_planar_2(P, avg_normal, max_distance, traits)) {
     return false;
+  }
 
   // Checking the hole simplicity.
   typedef Triangulation_2_projection_traits_3<Traits> P_traits;
   const P_traits p_traits(avg_normal);
-  if (!is_simple_2(P.begin(), P.end() - 1, p_traits))
-     return false;
+  if (!is_simple_2(P.begin(), P.end() - 1, p_traits)) {
+    return false;
+  }
 
   Lookup_table_map<int> lambda(static_cast<int>(size), -1);
 
@@ -1374,24 +1386,28 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
 
   std::vector< std::pair<Point_3, std::size_t> > points_and_ids;
   points_and_ids.reserve(size);
-  for (std::size_t i = 0; i < size; ++i)
+  for (std::size_t i = 0; i < size; ++i) {
     points_and_ids.push_back(std::make_pair(P[i], i));
+  }
 
   std::vector<typename CDT::Vertex_handle> vertices(size);
   cdt.insert(points_and_ids.begin(), points_and_ids.end());
-  for (typename CDT::Vertex_handle v : cdt.finite_vertex_handles())
+  for (typename CDT::Vertex_handle v : cdt.finite_vertex_handles()) {
     vertices[v->info()] = v;
+  }
 
   for (std::size_t i = 0; i < size; ++i) {
     const std::size_t ip = (i + 1) % size;
-    if (vertices[i] != vertices[ip])
+    if (vertices[i] != vertices[ip]) {
       cdt.insert_constraint(vertices[i], vertices[ip]);
+    }
   }
 
   // Mark external faces.
   for (typename CDT::All_faces_iterator fit = cdt.all_faces_begin(),
-  end = cdt.all_faces_end(); fit != end; ++fit)
+    end = cdt.all_faces_end(); fit != end; ++fit) {
     fit->info() = false;
+  }
 
   std::queue<typename CDT::Face_handle> face_queue;
   face_queue.push(cdt.infinite_vertex()->face());
@@ -1399,31 +1415,37 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
 
     typename CDT::Face_handle fh = face_queue.front();
     face_queue.pop();
-    if (fh->info())
+    if (fh->info()) {
       continue;
+    }
 
     fh->info() = true;
-    for (std::size_t i = 0; i < 3; ++i)
-      if (!cdt.is_constrained(typename CDT::Edge(fh, i)))
+    for (std::size_t i = 0; i < 3; ++i) {
+      if (!cdt.is_constrained(typename CDT::Edge(fh, i))) {
         face_queue.push(fh->neighbor(i));
+      }
+    }
   }
 
-  if (cdt.dimension() != 2 || cdt.number_of_vertices() != size)
+  if (cdt.dimension() != 2 || cdt.number_of_vertices() != size) {
     return false;
+  }
 
   // Fill the lambda.
   for (typename CDT::Finite_faces_iterator fit = cdt.finite_faces_begin(),
-  end = cdt.finite_faces_end(); fit != end; ++fit) {
+    end = cdt.finite_faces_end(); fit != end; ++fit) {
     if (!fit->info()) { // if it is not external
 
       std::vector<std::size_t> is(3);
-      for (std::size_t i = 0; i < 3; ++i)
+      for (std::size_t i = 0; i < 3; ++i) {
         is[i] = fit->vertex(i)->info();
+      }
 
       std::sort(is.begin(), is.end());
       lambda.put(is[0], is[2], is[1]);
-      if (!is_valid(P, is[0], is[1], is[2]))
+      if (!is_valid(P, is[0], is[1], is[2])) {
         return false;
+      }
     }
   }
 
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 80ac30259b4..7f9dab5fb5a 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -496,7 +496,7 @@ bool use_dt3 =
 
   /*!
   \ingroup  hole_filling_grp
-  Same as above but the range of third points is omitted. They are not
+  same as above but the range of third points is omitted. They are not
   taken into account in the cost computation that leads the hole filling.
 */
   template <typename PointRange,
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index 3c04b35870c..0d57e360b59 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -59,23 +59,26 @@ void test_triangulate_hole_with_cdt_2(
   typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor Halfedge_handle;
 
   // Reading the file.
-  if (verbose)
+  if (verbose) {
     std::cout << "test with the " << kernel_name << " kernel:" << std::endl;
+  }
   PolygonMesh pmesh;
   std::string path = "data/" + file_name + ".off";
   std::ifstream in(path.c_str(), std::ios_base::in);
   CGAL::set_ascii_mode(in);
   CGAL::read_off(in, pmesh);
   in.close();
-  if (verbose)
+  if (verbose) {
     std::cout << "* finished reading the file" << std::endl;
+  }
 
   // Detecting the hole borders.
   std::vector<Halfedge_handle> borders;
   detect_borders(pmesh, borders);
-  if (verbose)
+  if (verbose) {
     std::cout << "* number of detected borders: " <<
       borders.size() << std::endl;
+  }
   assert(borders.size() == num_borders);
 
   // Triangulating the holes.
@@ -91,14 +94,15 @@ void test_triangulate_hole_with_cdt_2(
         use_2d_constrained_delaunay_triangulation(true).
         geom_traits(GeomTraits()));
 
-    if (verbose)
+    if (verbose) {
       std::cout << "* number of faces in the constructed patch: " <<
         patch_faces.size() << std::endl;
+    }
     assert(patch_faces.size() == num_patch_faces);
   }
   assert(pmesh.is_valid() && is_closed(pmesh));
   assert(CGAL::Polygon_mesh_processing::is_outward_oriented(pmesh,
-  CGAL::parameters::all_default()));
+    CGAL::parameters::all_default()));
 
   // Writing the file.
   if (verbose) {

From 22c110e22a1da67c82f4f3e82de029c3c975f562 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 4 Aug 2020 09:49:37 +0200
Subject: [PATCH 051/317] using traits functor for projection

---
 .../Hole_filling/Triangulate_hole_polyline.h       | 14 ++++++++------
 1 file changed, 8 insertions(+), 6 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 7b31d96b06f..83ba81e9c08 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1224,14 +1224,17 @@ template <typename Traits>
 bool is_planar_2(
   const std::vector<typename Traits::Point_3>& points,
   const typename Traits::Vector_3& avg_normal,
-  const typename Traits::FT max_distance,
+  const typename Traits::FT max_sq_distance,
   const Traits& traits) {
 
   typedef typename Traits::FT FT;
   typedef typename Traits::Point_3 Point_3;
   typedef typename Traits::Plane_3 Plane_3;
+  typedef typename Traits::Construct_projected_point_3 Projection_3;
   typedef typename Traits::Compute_squared_distance_3 Squared_distance_3;
 
+  const Projection_3 projection_3 =
+    traits.construct_projected_point_3_object();
   const Squared_distance_3 squared_distance_3 =
     traits.compute_squared_distance_3_object();
 
@@ -1275,14 +1278,13 @@ bool is_planar_2(
   FT avg_sq_distance = FT(0);
   for (std::size_t i = 0; i < n; ++i) {
     const Point_3& p = points[i];
-    const Point_3  q = plane.projection(p);
+    const Point_3  q = projection_3(plane, p);
     avg_sq_distance += squared_distance_3(p, q);
   }
   avg_sq_distance /= static_cast<FT>(n);
   // std::cout << "avg squared distance: " << avg_sq_distance << std::endl;
 
-  const FT sq_tolerance = CGAL::square(max_distance);
-  if (avg_sq_distance > sq_tolerance) {
+  if (avg_sq_distance > max_sq_distance) {
     return false; // the user distance criteria are not satisfied!
   }
 
@@ -1359,8 +1361,8 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   // std::cout << "avg normal: " << avg_normal << std::endl;
 
   // Checking the hole planarity.
-  const FT max_distance = FT(2) / FT(100);
-  if (!is_planar_2(P, avg_normal, max_distance, traits)) {
+  const FT max_sq_distance = FT(4) / FT(10000);
+  if (!is_planar_2(P, avg_normal, max_sq_distance, traits)) {
     return false;
   }
 

From 15282ab3fa5686a3fffd52df63ca72624577732e Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 21 Aug 2020 11:21:50 +0200
Subject: [PATCH 052/317] barycenter changed to centroid from PCA with LGPL

---
 .../Hole_filling/Triangulate_hole_polyline.h   | 18 +++---------------
 .../Polygon_mesh_processing/dependencies       |  1 +
 2 files changed, 4 insertions(+), 15 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 83ba81e9c08..d73b5d44b5e 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -24,7 +24,7 @@
 #endif
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
-#include <CGAL/barycenter.h>
+#include <CGAL/centroid.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
@@ -1211,15 +1211,6 @@ public:
  ************************************************************************/
 // /!\ points.first == points.last
 
-template <typename Point_3, typename FT>
-struct Pair_from_point {
-  typedef Point_3 argument_type;
-  typedef std::pair<Point_3, FT> result_type;
-  result_type operator() (const argument_type& p) const {
-    return std::make_pair(p, FT(1));
-  }
-};
-
 template <typename Traits>
 bool is_planar_2(
   const std::vector<typename Traits::Point_3>& points,
@@ -1244,11 +1235,8 @@ bool is_planar_2(
   }
 
   // Compute centroid.
-  const Point_3 centroid = CGAL::barycenter(
-    boost::make_transform_iterator(
-      points.begin(), Pair_from_point<Point_3, FT>()),
-    boost::make_transform_iterator(
-      points.end() - 1, Pair_from_point<Point_3, FT>()));
+  const Point_3 centroid =
+    CGAL::centroid(points.begin(), points.end() - 1);
 
   // Compute covariance matrix.
   FT xx = FT(0), yy = FT(0), zz = FT(0);
diff --git a/Polygon_mesh_processing/package_info/Polygon_mesh_processing/dependencies b/Polygon_mesh_processing/package_info/Polygon_mesh_processing/dependencies
index 560b9907715..e0691224967 100644
--- a/Polygon_mesh_processing/package_info/Polygon_mesh_processing/dependencies
+++ b/Polygon_mesh_processing/package_info/Polygon_mesh_processing/dependencies
@@ -21,6 +21,7 @@ Modular_arithmetic
 Number_types
 Polygon
 Polygon_mesh_processing
+Principal_component_analysis_LGPL
 Profiling_tools
 Property_map
 Random_numbers

From e4ff67650353c452082bc664f9bf8ab6be5769ab Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Wed, 30 Sep 2020 13:26:37 +0300
Subject: [PATCH 053/317] 1st revision

---
 .../oriented_side.cpp                         | 45 +++++++++++++++++++
 1 file changed, 45 insertions(+)
 create mode 100644 Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp

diff --git a/Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp b/Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp
new file mode 100644
index 00000000000..9805b412b74
--- /dev/null
+++ b/Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp
@@ -0,0 +1,45 @@
+/*! \file oriented_side.cpp
+ * Compute the oriented side of a point and a polygon with holes.
+ */
+
+#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
+#include <CGAL/Boolean_set_operations_2.h>
+
+typedef CGAL::Exact_predicates_exact_constructions_kernel Kernel;
+typedef Kernel::Point_2                                   Point_2;
+typedef CGAL::Polygon_2<Kernel>                           Polygon_2;
+typedef CGAL::Polygon_with_holes_2<Kernel>                Polygon_with_holes_2;
+
+# define nice(os) ((os == CGAL::ON_ORIENTED_BOUNDARY) ? "on boundary" :  \
+                   (os == CGAL::POSITIVE) ? "inside" : "outside")
+
+int main() {
+  Polygon_2 hole_pgn;
+  hole_pgn.push_back(Point_2(1, 1));
+  hole_pgn.push_back(Point_2(1, 2));
+  hole_pgn.push_back(Point_2(2, 2));
+  hole_pgn.push_back(Point_2(2, 1));
+
+  Polygon_2 out_pgn;
+  out_pgn.push_back(Point_2(0, 0));
+  out_pgn.push_back(Point_2(3, 0));
+  out_pgn.push_back(Point_2(3, 3));
+  out_pgn.push_back(Point_2(0, 3));
+
+  Polygon_with_holes_2 pwh(out_pgn, &hole_pgn, &hole_pgn+1);
+  std::cout << pwh << std::endl;
+
+  auto os = CGAL::oriented_side(Point_2(0, 0), pwh);
+  std::cout << "(0,0) is : " << nice(os) << std::endl;
+  os = CGAL::oriented_side(Point_2(0.5, 0.5), pwh);
+  std::cout << "(0,0) is : " << nice(os) << std::endl;
+  os = CGAL::oriented_side(Point_2(1, 1), pwh);
+  std::cout << "(0,0) is : " << nice(os) << std::endl;
+  os = CGAL::oriented_side(Point_2(2.5, 2.5), pwh);
+  std::cout << "(0,0) is : " << nice(os) << std::endl;
+  os = CGAL::oriented_side(Point_2(3, 3), pwh);
+  std::cout << "(0,0) is : " << nice(os) << std::endl;
+  os = CGAL::oriented_side(Point_2(3.5, 3.5), pwh);
+  std::cout << "(0,0) is : " << nice(os) << std::endl;
+  return 0;
+}

From bd1501e184aeafd9771899135f8fdef6f3d4dc30 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Wed, 30 Sep 2020 13:32:54 +0300
Subject: [PATCH 054/317] Cleaned up

---
 .../oriented_side.cpp                         | 22 +++++++++----------
 1 file changed, 11 insertions(+), 11 deletions(-)

diff --git a/Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp b/Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp
index 9805b412b74..80a4f3ff66f 100644
--- a/Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp
+++ b/Boolean_set_operations_2/examples/Boolean_set_operations_2/oriented_side.cpp
@@ -14,19 +14,19 @@ typedef CGAL::Polygon_with_holes_2<Kernel>                Polygon_with_holes_2;
                    (os == CGAL::POSITIVE) ? "inside" : "outside")
 
 int main() {
-  Polygon_2 hole_pgn;
-  hole_pgn.push_back(Point_2(1, 1));
-  hole_pgn.push_back(Point_2(1, 2));
-  hole_pgn.push_back(Point_2(2, 2));
-  hole_pgn.push_back(Point_2(2, 1));
+  Polygon_2 hole;
+  hole.push_back(Point_2(1, 1));
+  hole.push_back(Point_2(1, 2));
+  hole.push_back(Point_2(2, 2));
+  hole.push_back(Point_2(2, 1));
 
-  Polygon_2 out_pgn;
-  out_pgn.push_back(Point_2(0, 0));
-  out_pgn.push_back(Point_2(3, 0));
-  out_pgn.push_back(Point_2(3, 3));
-  out_pgn.push_back(Point_2(0, 3));
+  Polygon_2 out;
+  out.push_back(Point_2(0, 0));
+  out.push_back(Point_2(3, 0));
+  out.push_back(Point_2(3, 3));
+  out.push_back(Point_2(0, 3));
 
-  Polygon_with_holes_2 pwh(out_pgn, &hole_pgn, &hole_pgn+1);
+  Polygon_with_holes_2 pwh(out, &hole, &hole+1);
   std::cout << pwh << std::endl;
 
   auto os = CGAL::oriented_side(Point_2(0, 0), pwh);

From 8eace7b066ae0accffe31236558683c545ad1fd0 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Thu, 1 Oct 2020 00:01:58 +0300
Subject: [PATCH 055/317] Construct opposite only if CGAL_ALWAYS_LEFT_TO_RIGHT

---
 Arrangement_on_surface_2/include/CGAL/Arr_polycurve_traits_2.h | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_polycurve_traits_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_polycurve_traits_2.h
index 6d61db9e61e..941bbb0333a 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_polycurve_traits_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_polycurve_traits_2.h
@@ -852,9 +852,11 @@ public:
             if (x_seg != nullptr) {
               X_monotone_subcurve_2 seg = *x_seg;
 
+#ifdef CGAL_ALWAYS_LEFT_TO_RIGHT
               // If for some reason the subcurve intersection
               // results in left oriented curve.
               if (cmp_seg_endpts(seg) == LARGER) seg = construct_opposite(seg);
+#endif
               ocv.push_back(seg);
             }
 

From 7e7ee4d4a3a52dca8636307767aad0aee69c9568 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Thu, 1 Oct 2020 02:13:11 +0300
Subject: [PATCH 056/317] An uplift

---
 .../CGAL/Boolean_set_operations_2.h           | 1277 +++++++++--------
 1 file changed, 665 insertions(+), 612 deletions(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 4f1ed78e348..11f006379e7 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -1,176 +1,171 @@
 namespace CGAL {
 
-/*!
-\addtogroup boolean_complement Complement Functions
-\ingroup PkgBooleanSetOperations2Ref
-\anchor ref_bso_complement
+/*! \addtogroup boolean_complement Complement Functions
+ * \ingroup PkgBooleanSetOperations2Ref
+ * \anchor ref_bso_complement
+ *
+ * The `complement` function is overloaded. Depending on the type of polygon
+ * `pgn` the complement is either a single (general) polygon with holes, or
+ * several (general) poylgons with holes. In the latter case the `complement
+ * function` writes them into an output iterator `oi`.
+ *
+ * \param pgn The input polygon for the `complement` function. It may be of the
+ * type `Polygon_2`, `General_polygon_2`, `Polygon_with_holes_2`, or
+ * `General_polygon_with_holes_2`.
+ *
+ * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
+ * \sa \link boolean_intersection `CGAL::intersection()` \endlink
+ * \sa \link boolean_join `CGAL::join()` \endlink
+ * \sa \link boolean_difference `CGAL::difference()` \endlink
+ * \sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
+ */
 
-The `complement` function is overloaded. Depending on the
-type of polygon `pgn` the complement is either a single (general) polygon with
-holes, or several (general) poylgons with holes. In the latter case
-the `complement function` writes them into an output iterator
-`oi`.
-
-\param pgn The input polygon for the `complement` function. It may be of the type
-`Polygon_2`, `General_polygon_2`, `Polygon_with_holes_2`, or
-`General_polygon_with_holes_2`.
-
-
-
-\sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
-\sa \link boolean_intersection `CGAL::intersection()` \endlink
-\sa \link boolean_join `CGAL::join()` \endlink
-\sa \link boolean_difference `CGAL::difference()` \endlink
-\sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
-*/
 /// @{
 
-/*!
- writes the complement of the polygon `pgn` into the  polygon with holes `res`.
+/*! writes the complement of the polygon `pgn` into the polygon with holes `res`.
  */
-template <class Kernel, class Container>
-void complement(const Polygon_2<Kernel, Container> & pgn, Polygon_with_holes_2<Kernel, Container> & res);
+template <typename Kernel, typename Container>
+void complement(const Polygon_2<Kernel, Container>& pgn,
+                Polygon_with_holes_2<Kernel, Container>& res);
 
-/*!
-  writes the complement of the general polygon `pgn` into the  general polygon with holes `res`.
+/*! writes the complement of the general polygon `pgn` into the  general polygon
+ * with holes `res`.
  */
-template <class Traits>
-void complement(const General_polygon_2<Traits> & pgn, General_polygon_with_holes_2<Traits> & res);
+template <typename ArrTraits>
+void complement(const General_polygon_2<ArrTraits>& pgn,
+                General_polygon_with_holes_2<ArrTraits>& res);
 
-/*!
-  writes the complement of the polygon with holes `pgn` into the  output iterator `oi`.
-  The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the complement of the polygon with holes `pgn` into the  output
+ * iterator `oi`.
+ * The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Traits, class OutputIterator>
-OutputIterator complement(const Polygon_with_holes_2<Kernel, Container> & pgn, OutputIterator oi);
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
+                          OutputIterator oi);
 
-/*!
-  writes the complement of the general polygon with holes `pgn` into the  output iterator `oi`.
-  The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the complement of the general polygon with holes `pgn` into the
+ * output iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Traits, class OutputIterator>
-OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<Traits> > & pgn, OutputIterator oi);
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn, OutputIterator oi);
 /// @}
 
 } /* namespace CGAL */
 
 namespace CGAL {
 
-/*!
-\addtogroup boolean_difference Difference Functions
-\ingroup PkgBooleanSetOperations2Ref
-\anchor ref_bso_difference
-
-Each one of these functions computes the difference between two given
-polygons `p1` and `p2`, and inserts the resulting polygons
-with holes into an output container through the output iterator `oi`.
-The value type of the `OutputIterator` is either
-`Polygon_with_holes_2` or
-`General_polygon_with_holes_2`.
-
-The signature of the function is:
-  - `%OutputIterator %difference(const Type1 & p1, const Type2 & p2, %OutputIterator oi);`
-
-
-\cgalHeading{Parameters}
-
-The types of the parameters of the `difference()` function are any of the following combinations.
-
-<div align="left">
-<table cellpadding=3 border="1">
-<tr><th> Type1</th><th>Type2</th></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-</table>
-</div>
-
-\sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
-\sa \link boolean_intersection `CGAL::intersection()` \endlink
-\sa \link boolean_join `CGAL::join()` \endlink
-\sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
-
-*/
-
+/*! \addtogroup boolean_difference Difference Functions
+ * \ingroup PkgBooleanSetOperations2Ref
+ * \anchor ref_bso_difference
+ *
+ * Each one of these functions computes the difference between two given
+ * polygons `p1` and `p2`, and inserts the resulting polygons
+ * with holes into an output container through the output iterator `oi`.
+ * The value type of the `OutputIterator` is either
+ * `Polygon_with_holes_2` or
+ * `General_polygon_with_holes_2`.
+ *
+ * The signature of the function is:
+ *   - `%OutputIterator %difference(const Type1& p1, const Type2& p2, %OutputIterator oi);`
+ *
+ * \cgalHeading{Parameters}
+ *
+ * The types of the parameters of the `difference()` function are any of the
+ * following combinations.
+ *
+ * <div align="left">
+ * <table cellpadding=3 border="1">
+ * <tr><th> Type1</th><th>Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * </table>
+ * </div>
+ *
+ * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
+ * \sa \link boolean_intersection `CGAL::intersection()` \endlink
+ * \sa \link boolean_join `CGAL::join()` \endlink
+ * \sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
+ */
 
 /// @{
-/*!
- writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+
+/*! writes the difference of the polygons `p1` and `p2` into the output iterator
+ * `oi`.
+ *  The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator difference(const Polygon_2<Kernel, Container> & p1,
-                          const Polygon_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator difference(const Polygon_2<Kernel, Container>& p1,
+                          const Polygon_2<Kernel, Container>& p2,
                           OutputIterator oi);
 
-/*!
- writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the difference of the polygons `p1` and `p2` into the output iterator
+ * `oi`.
+ *  The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator difference(const Polygon_2<Kernel, Container> & p1,
-                          const Polygon_with_holes_2<Kernel,Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator difference(const Polygon_2<Kernel, Container>& p1,
+                          const Polygon_with_holes_2<Kernel,Container>& p2,
                           OutputIterator oi);
 
-/*!
- writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the difference of the polygons `p1` and `p2` into the output iterator
+ * `oi`.
+ *  The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator difference(const Polygon_with_holes_2<Kernel, Container> & p1,
-                          const Polygon_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& p1,
+                          const Polygon_2<Kernel, Container>& p2,
                           OutputIterator oi);
 
-/*!
- writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the difference of the polygons `p1` and `p2` into the output iterator
+ * `oi`.
+ * The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator difference(const Polygon_with_holes_2<Kernel, Container> & p1,
-                          const Polygon_with_holes_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& p1,
+                          const Polygon_with_holes_2<Kernel, Container>& p2,
                           OutputIterator oi);
 
-/*!
- writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the difference of the general polygons `p1` and `p2` into the output
+ * iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Traits, class OutputIterator>
-OutputIterator difference(const General_polygon_2<Traits> & p1,
-                          const General_polygon_2<Traits> & p2,
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator difference(const General_polygon_2<ArrTraits>& p1,
+                          const General_polygon_2<ArrTraits>& p2,
                           OutputIterator oi);
 
-/*!
- writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the difference of the general polygons `p1` and `p2` into the output
+ * iterator `oi`.
+ *  The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Traits, class OutputIterator>
-OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<Traits> > & p1,
-                          const General_polygon_2<Traits> & p2,
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
+                          const General_polygon_2<ArrTraits>& p2,
                           OutputIterator oi);
 
-
-/*!
- writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the difference of the general polygons `p1` and `p2` into the output
+ * iterator `oi`.
+ *  The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Traits, class OutputIterator>
-OutputIterator difference(const General_polygon_2<Traits> & p1,
-                          const General_polygon_with_holes_2<General_polygon_2<Traits> > & p2,
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator difference(const General_polygon_2<ArrTraits>& p1,
+                          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
                           OutputIterator oi);
 
-
-/*!
- writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the difference of the general polygons `p1` and `p2` into the output
+ * iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Polygon, class OutputIterator>
-OutputIterator difference(const General_polygon_with_holes_2<Polygon> & p1,
-                          const General_polygon_with_holes_2<Polygon> & p2,
+template <typename Polygon, typename OutputIterator>
+OutputIterator difference(const General_polygon_with_holes_2<Polygon>& p1,
+                          const General_polygon_with_holes_2<Polygon>& p2,
                           OutputIterator oi);
 /// @}
 
@@ -178,120 +173,109 @@ OutputIterator difference(const General_polygon_with_holes_2<Polygon> & p1,
 
 namespace CGAL {
 
-/*!
-\addtogroup boolean_do_intersect Intersection Testing Functions
-\ingroup PkgBooleanSetOperations2Ref
-\anchor ref_bso_do_intersect
-
-Each one of these functions computes if the interior of two given
-polygons `p1` and `p2` intersect.
-
-The signature of the function is:
-  - `bool do_intersect(const Type1 & p1, const Type2 & p2);`
-
-
-\cgalHeading{Parameters}
-
-The types of the parameters of the \link ref_bso_do_intersect `do_intersect()` \endlink function are any of the following combinations.
-
-<div align="left">
-<table cellpadding=3 border="1">
-<tr><th> Type1 </th><th>Type2</th></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-</table>
-</div>
-
-
-\sa \link boolean_intersection `CGAL::intersection()` \endlink
-\sa \link boolean_join `CGAL::join()` \endlink
-\sa \link boolean_difference `CGAL::difference()` \endlink
-\sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
-
-*/
+/*! \addtogroup boolean_do_intersect Intersection Testing Functions
+ * \ingroup PkgBooleanSetOperations2Ref
+ * \anchor ref_bso_do_intersect
+ *
+ * Each one of these functions computes if the interior of two given
+ * polygons `p1` and `p2` intersect.
+ *
+ * The signature of the function is:
+ *   - `bool do_intersect(const Type1& p1, const Type2& p2);`
+ *
+ * \cgalHeading{Parameters}
+ *
+ * The types of the parameters of the \link ref_bso_do_intersect
+ * `do_intersect()` \endlink function are any of the following combinations.
+ *
+ * <div align="left">
+ * <table cellpadding=3 border="1">
+ * <tr><th> Type1 </th><th>Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * </table>
+ * </div>
+ *
+ * \sa \link boolean_intersection `CGAL::intersection()` \endlink
+ * \sa \link boolean_join `CGAL::join()` \endlink
+ * \sa \link boolean_difference `CGAL::difference()` \endlink
+ * \sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
+ */
 
 /// @{
 
-/*!
-  returns `true` if the polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
  */
-template <class Kernel, class Container>
-bool do_intersect(const Polygon_2<Kernel, Container> & p1,
-                  const Polygon_2<Kernel, Container> & p2);
+template <typename Kernel, typename Container>
+bool do_intersect(const Polygon_2<Kernel, Container>& p1,
+                  const Polygon_2<Kernel, Container>& p2);
 
-/*!
-  returns `true` if the polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
  */
-template <class Kernel, class Container>
-bool do_intersect(const Polygon_2<Kernel, Container> & p1,
-                  const Polygon_with_holes_2<Kernel, Container> & p2);
+template <typename Kernel, typename Container>
+bool do_intersect(const Polygon_2<Kernel, Container>& p1,
+                  const Polygon_with_holes_2<Kernel, Container>& p2);
 
-/*!
-  returns `true` if the polygons `p1` and `p2` intersect in their interior.
-  returns `true` if the interior of polygons `p1` and `p2` intersect.
+/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
  */
-template <class Kernel, class Container>
-bool do_intersect(const Polygon_with_holes_2<Kernel, Container> & p1,
-                  const Polygon_2<Kernel, Container> & p2);
-
-/*!
-  returns `true` if the polygons `p1` and `p2` intersect in their interior.
+template <typename Kernel, typename Container>
+bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& p1,
+                  const Polygon_2<Kernel, Container>& p2);
 
+/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
  */
-template <class Kernel, class Container>
-bool do_intersect(const Polygon_with_holes_2<Kernel, Container> & p1,
-                  const Polygon_with_holes_2<Kernel, Container> & p2);
+template <typename Kernel, typename Container>
+bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& p1,
+                  const Polygon_with_holes_2<Kernel, Container>& p2);
 
-/*!
-  returns `true` if the general polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+ * interior.
  */
-template <class Traits>
-bool do_intersect(const General_polygon_2<Traits> & p1,
-                  const General_polygon_2<Traits> & p2);
+template <typename ArrTraits>
+bool do_intersect(const General_polygon_2<ArrTraits>& p1,
+                  const General_polygon_2<ArrTraits>& p2);
 
-/*!
-  returns `true` if the general polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+ * interior.
  */
-template <class Traits>
-bool do_intersect(const General_polygon_2<Traits> & p1,
-                  const General_polygon_with_holes_2<General_polygon_2<Traits> > & p2);
+template <typename ArrTraits>
+bool do_intersect(const General_polygon_2<ArrTraits>& p1,
+                  const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2);
 
-/*!
-  returns `true` if the general polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+ * interior.
  */
-template <class Traits>
-bool do_intersect(const General_polygon_with_holes_2<General_polygon_2<Traits> > & p1,
-                  const General_polygon_2<Traits> & p2);
+template <typename ArrTraits>
+bool do_intersect(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
+                  const General_polygon_2<ArrTraits>& p2);
 
 
-/*!
-  returns `true` if the general polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+ * interior.
  */
-template <class Polygon>
-bool do_intersect(const General_polygon_with_holes_2<Polygon> & p1,
-                  const General_polygon_with_holes_2<Polygon> & p2);
+template <typename Polygon>
+bool do_intersect(const General_polygon_with_holes_2<Polygon>& p1,
+                  const General_polygon_with_holes_2<Polygon>& p2);
 
-  /*!
-    returns `true`, if the set of general polygons (or general
-    polygons with holes) in the given range intersect in their interior,
-    and `false` otherwise. (The value type of the input iterator is
-    used to distinguish between the two).
-  */
-template <class InputIterator>
+/*! returns `true`, if the set of general polygons (or general polygons with
+ * holes) in the given range intersect in their interior, and `false`
+ * otherwise. (The value type of the input iterator is used to distinguish
+ * between the two).
+ */
+template <typename InputIterator>
 bool do_intersect(InputIterator begin, InputIterator end);
 
-  /*!
-    returns `true`, if the set of general polygons and general
-    polygons with holes in the given two ranges respectively intersect in
-    their interior, and `false` otherwise.
-  */
-template <class InputIterator1, class InputIterator2>
+/*! returns `true`, if the set of general polygons and general polygons with
+ * holes in the given two ranges respectively intersect in their interior, and
+ * `false` otherwise.
+ */
+template <typename InputIterator1, typename InputIterator2>
 bool do_intersect(InputIterator1 pgn_begin1,
                   InputIterator1 pgn_end1,
                   InputIterator2 pgn_begin2,
@@ -301,160 +285,144 @@ bool do_intersect(InputIterator1 pgn_begin1,
 
 namespace CGAL {
 
-/*!
-\addtogroup boolean_intersection Intersection Functions
-\ingroup PkgBooleanSetOperations2Ref
-\anchor ref_bso_intersection
-
-Each one of these functions computes the intersection of two given
-polygons `p1` and `p2`, inserts the resulting polygons with
-holes into an output container through a given output iterator
-`oi`, and returns the output iterator. The value type of the
-`OutputIterator` is either `Polygon_with_holes_2` or
-`General_polygon_with_holes_2`.
-
-
-The signature of the function is:
-  - `%OutputIterator %intersection(const Type1 & p1, const Type2 & p2, %OutputIterator oi);`
-
-
-
-\cgalHeading{Parameters}
-
-The types of the parameters of the `intersection()` function are any of the following combinations.
-
-
-<div align="left">
-<table cellpadding=3 border="1">
-<tr><th> Type1</th><th> Type2</th></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-</table>
-</div>
-
-
-\sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
-\sa \link boolean_join `CGAL::join()` \endlink
-\sa \link boolean_difference `CGAL::difference()` \endlink
-\sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
-
-*/
-
+/*! \addtogroup boolean_intersection Intersection Functions
+ * \ingroup PkgBooleanSetOperations2Ref
+ * \anchor ref_bso_intersection
+ *
+ * Each one of these functions computes the intersection of two given
+ * polygons `p1` and `p2`, inserts the resulting polygons with
+ * holes into an output container through a given output iterator
+ * `oi`, and returns the output iterator. The value type of the
+ * `OutputIterator` is either `Polygon_with_holes_2` or
+ * `General_polygon_with_holes_2`.
+ *
+ * The signature of the function is:
+ *   - `%OutputIterator %intersection(const Type1& p1, const Type2& p2,
+ *                                    %OutputIterator oi);`
+ *
+ * \cgalHeading{Parameters}
+ *
+ * The types of the parameters of the `intersection()` function are any of the
+ * following combinations.
+ *
+ * <div align="left">
+ * <table cellpadding=3 border="1">
+ * <tr><th> Type1</th><th> Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * </table>
+ * </div>
+ *
+ * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
+ * \sa \link boolean_join `CGAL::join()` \endlink
+ * \sa \link boolean_difference `CGAL::difference()` \endlink
+ * \sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
+ *
+ */
 
 /// @{
 
-/*!
- writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+ *  The value type of `oi` is `Polygon_with_holes_2`.
  */
-OutputIterator intersection(const Type1 & p1, const Type2 & p2,
+OutputIterator intersection(const Type1& p1, const Type2& p2,
                             OutputIterator oi);
 
-/*!
- writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator intersection(const Polygon_2<Kernel, Container> & p1,
-                            const Polygon_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator intersection(const Polygon_2<Kernel, Container>& p1,
+                            const Polygon_2<Kernel, Container>& p2,
                             OutputIterator oi);
 
-/*!
- writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator intersection(const Polygon_2<Kernel, Container> & p1,
-                            const Polygon_with_holes_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator intersection(const Polygon_2<Kernel, Container>& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2,
                             OutputIterator oi);
 
-/*!
- writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container> & p1,
-                            const Polygon_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& p1,
+                            const Polygon_2<Kernel, Container>& p2,
                             OutputIterator oi);
 
-/*!
- writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `Polygon_with_holes_2`.
+/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `Polygon_with_holes_2`.
  */
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container> & p1,
-                            const Polygon_with_holes_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2,
                             OutputIterator oi);
 
-/*!
- writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Traits, class OutputIterator>
-OutputIterator intersection(const General_polygon_2<Traits> & p1,
-const General_polygon_2<Traits> & p2,
-OutputIterator oi);
-
-/*!
- writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
- */
-template <class Traits, class OutputIterator>
-OutputIterator intersection(const General_polygon_with_holes_2<General_polygon_2<Traits> > & p1,
-                            const General_polygon_2<Traits> & p2,
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator intersection(const General_polygon_2<ArrTraits>& p1,
+                            const General_polygon_2<ArrTraits>& p2,
                             OutputIterator oi);
 
-/*!
- writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Traits, class OutputIterator>
-OutputIterator intersection(const General_polygon_2<Traits> & p1,
-                            const General_polygon_with_holes_2<General_polygon_2<Traits> > & p2,
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator intersection(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
+                            const General_polygon_2<ArrTraits>& p2,
                             OutputIterator oi);
 
-/*!
- writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
- The value type of `oi` is `General_polygon_with_holes_2`.
+/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
  */
-template <class Polygon, class OutputIterator>
-OutputIterator intersection(const General_polygon_with_holes_2<Polygon> & p1,
-                            const General_polygon_with_holes_2<Polygon> & p2,
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator intersection(const General_polygon_2<ArrTraits>& p1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+                            OutputIterator oi);
+
+/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
+ */
+template <typename Polygon, typename OutputIterator>
+OutputIterator intersection(const General_polygon_with_holes_2<Polygon>& p1,
+                            const General_polygon_with_holes_2<Polygon>& p2,
                             OutputIterator oi);
 
 
-/*!
-  computes the intersection of the general polygons (or general polygons with
-  holes) in the given range. (The value type of the input iterator is
-  used to distinguish between the two.) The result, represented by a set
-  of general polygon with holes, is written into the output iterator `oi`.
-  The output iterator is returned. The value type of the `OutputIterator` is
-  `Traits::Polygon_with_holes_2`.
-*/
-template <class InputIterator, class OutputIterator>
+/*! computes the intersection of the general polygons (or general polygons with
+ * holes) in the given range. (The value type of the input iterator is used to
+ * distinguish between the two.) The result, represented by a set of general
+ * polygon with holes, is written into the output iterator `oi`.  The output
+ * iterator is returned. The value type of the `OutputIterator` is
+ * `Traits::Polygon_with_holes_2`.
+ */
+template <typename InputIterator, typename OutputIterator>
 OutputIterator intersection(InputIterator begin, InputIterator end,
                             OutputIterator oi);
 
-/*!
-  computes the intersection of the general polygons and general polygons
-  with holes in the given two ranges. The result, represented by a set
-  of general polygon with holes, is written into the output iterator `oi`.
-  The output iterator is returned. The value type of the `OutputIterator` is
-  `Traits::Polygon_with_holes_2`.
-*/
-template <class InputIterator1, class InputIterator2,
-class OutputIterator>
+/*! computes the intersection of the general polygons and general polygons with
+ * holes in the given two ranges. The result, represented by a set of general
+ * polygon with holes, is written into the output iterator `oi`.  The output
+ * iterator is returned. The value type of the `OutputIterator` is
+ * `Traits::Polygon_with_holes_2`.
+ */
+template <typename InputIterator1, typename InputIterator2,
+typename OutputIterator>
 OutputIterator intersection(InputIterator1 pgn_begin1,
-InputIterator1 pgn_end1,
-InputIterator2 pgn_begin2,
-InputIterator2 pgn_end2,
-OutputIterator oi);
+                            InputIterator1 pgn_end1,
+                            InputIterator2 pgn_begin2,
+                            InputIterator2 pgn_end2,
+                            OutputIterator oi);
 
 /// @}
 
@@ -462,366 +430,452 @@ OutputIterator oi);
 
 namespace CGAL {
 
-/*!
-\addtogroup boolean_join Union Functions
-\ingroup PkgBooleanSetOperations2Ref
-\anchor ref_bso_union
-
-Each one of these functions computes the union of two given polygons
-`p1` and `p2`. If the two given polygons overlap, it returns
-`true`, and places the resulting polygon in `p`. Otherwise, it
-returns `false`.
-
-
-The signature of the function is:
-  - `bool join(const Type1 & p1, const Type2 & p2, General_polygon_with_holes_2 & res);`
-
-
-\cgalHeading{Parameters}
-
-The types of the parameters of the `join()` function are any of the following combinations.
-
-<div align="left">
-<table cellpadding=3 border="1">
-<tr><th> Type1</th><th> Type2</th></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">polygon_with_holes_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-</table>
-</div>
-
-\sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
-\sa \link boolean_intersection `CGAL::intersection()` \endlink
-\sa \link boolean_difference `CGAL::difference()` \endlink
-\sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
-
-*/
+/*! \addtogroup boolean_join Union Functions
+ * \ingroup PkgBooleanSetOperations2Ref
+ * \anchor ref_bso_union
+ *
+ * Each one of these functions computes the union of two given polygons `p1` and
+ * `p2`. If the two given polygons overlap, it returns `true`, and places the
+ * resulting polygon in `p`. Otherwise, it returns `false`.
+ *
+ * The signature of the function is:
+ *   - `bool join(const Type1& p1, const Type2& p2, General_polygon_with_holes_2& res);`
+ *
+ * \cgalHeading{Parameters}
+ *
+ * The types of the parameters of the `join()` function are any of the following combinations.
+ *
+ * <div align="left">
+ * <table cellpadding=3 border="1">
+ * <tr><th> Type1</th><th> Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * </table>
+ * </div>
+ *
+ * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
+ * \sa \link boolean_intersection `CGAL::intersection()` \endlink
+ * \sa \link boolean_difference `CGAL::difference()` \endlink
+ * \sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
+ */
 
 /// @{
 
-/*!
- writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+ *  Returns `true` if the two given polygons overlap.
  */
-template <class Kernel, class Container>
-bool join(const Polygon_2<Kernel, Container> & p1,
-          const Polygon_2<Kernel, Container> & p2,
-          General_polygon_with_holes_2<Polygon_2<Kernel, Container> > & res);
+template <typename Kernel, typename Container>
+bool join(const Polygon_2<Kernel, Container>& p1,
+          const Polygon_2<Kernel, Container>& p2,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*!
- writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+ * Returns `true` if the two given polygons overlap.
  */
-template <class Kernel, class Container>
-bool join(const Polygon_2<Kernel, Container> & p1,
-          const Polygon_with_holes_2<Kernel,Container> & p2,
-          General_polygon_with_holes_2<Polygon_2<Kernel, Container> > & res);
+template <typename Kernel, typename Container>
+bool join(const Polygon_2<Kernel, Container>& p1,
+          const Polygon_with_holes_2<Kernel,Container>& p2,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*!
- writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+ * Returns `true` if the two given polygons overlap.
  */
-template <class Kernel, class Container>
-bool join(const Polygon_with_holes_2<Kernel, Container> & p2,
-          const Polygon_2<Kernel, Container> & p1,
-          General_polygon_with_holes_2<Polygon_2<Kernel, Container> > & res);
+template <typename Kernel, typename Container>
+bool join(const Polygon_with_holes_2<Kernel, Container>& p2,
+          const Polygon_2<Kernel, Container>& p1,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*!
- writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+ * Returns `true` if the two given polygons overlap.
  */
-template <class Kernel, class Container>
-bool join(const Polygon_with_holes_2<Kernel, Container> & p2,
-          const Polygon_with_holes_2<Kernel, Container> & p1,
-          General_polygon_with_holes_2<Polygon_2<Kernel, Container> > & res);
+template <typename Kernel, typename Container>
+bool join(const Polygon_with_holes_2<Kernel, Container>& p2,
+          const Polygon_with_holes_2<Kernel, Container>& p1,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*!
- writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
+ * Returns `true` if the two given polygons overlap.
  */
-template <class Traits>
-bool join(const General_polygon_2<Traits> & p1,
-          const General_polygon_2<Traits> & p2,
-          General_polygon_with_holes_2<General_polygon_2<Traits> > & res);
+template <typename ArrTraits>
+bool join(const General_polygon_2<ArrTraits>& p1,
+          const General_polygon_2<ArrTraits>& p2,
+          General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*!
- writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+ * Returns `true` if the two given polygons overlap.
  */
-template <class Traits>
-bool join(const General_polygon_2<Traits> & p1,
-          const General_polygon_with_holes_2<General_polygon_2<Traits> > & p2,
-          General_polygon_with_holes_2<General_polygon_2<Traits> > & res);
+template <typename ArrTraits>
+bool join(const General_polygon_2<ArrTraits>& p1,
+          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+          General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*!
- writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
+ * Returns `true` if the two given polygons overlap.
  */
-template <class Traits>
-bool join(const General_polygon_with_holes_2<General_polygon_2<Traits> > & p2,
-          const General_polygon_2<Traits> & p1,
-          General_polygon_with_holes_2<General_polygon_2<Traits> > & res);
+template <typename ArrTraits>
+bool join(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+          const General_polygon_2<ArrTraits>& p1,
+          General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*!
- writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
- Returns `true` if the two given polygons overlap.
+/*! writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
+ * Returns `true` if the two given polygons overlap.
  */
-template <class Polygon>
-bool join(const General_polygon_with_holes_2<Polygon> & p1,
-          const General_polygon_with_holes_2<Polygon> & p2,
-          Traits::Polygon_with_holes_2 & res);
+template <typename Polygon>
+bool join(const General_polygon_with_holes_2<Polygon>& p1,
+          const General_polygon_with_holes_2<Polygon>& p2,
+          Traits::Polygon_with_holes_2& res);
 
-
-/*!
-  computes the union of the general polygons (or general polygons with
-  holes) in the given range. (The value type of the input iterator is
-  used to distinguish between the two.) The result, represented by a set
-  of general polygon with holes, is written into the output iterator `oi`.
-  The output iterator is
-  returned. The value type of the `OutputIterator` is
-  `Traits::Polygon_with_holes_2`.
-*/
-template <class InputIterator, class OutputIterator>
+/*! computes the union of the general polygons (or general polygons with holes)
+ * in the given range. (The value type of the input iterator is used to
+ * distinguish between the two.) The result, represented by a set of general
+ * polygon with holes, is written into the output iterator `oi`.  The output
+ * iterator is returned. The value type of the `OutputIterator` is
+ * `Traits::Polygon_with_holes_2`.
+ */
+template <typename InputIterator, typename OutputIterator>
 OutputIterator join(InputIterator begin, InputIterator end,
-OutputIterator oi);
+                    OutputIterator oi);
 
-  /*!
-    computes the union of the general polygons and general polygons
-    with holes in the given two ranges. The result, represented by a set
-    of general polygon with holes, is written into the output iterator `oi`.
-    The output iterator is
-    returned. The value type of the `OutputIterator` is
-    `Traits::Polygon_with_holes_2`.
-  */
-template <class InputIterator1, class InputIterator2,
-class OutputIterator>
+/*! computes the union of the general polygons and general polygons with holes
+ * in the given two ranges. The result, represented by a set of general polygon
+ * with holes, is written into the output iterator `oi`.  The output iterator is
+ * returned. The value type of the `OutputIterator` is
+ * `Traits::Polygon_with_holes_2`.
+ */
+template <typename InputIterator1, typename InputIterator2, typename OutputIterator>
 OutputIterator join(InputIterator1 pgn_begin1, InputIterator1 pgn_end1,
-InputIterator2 pgn_begin2, InputIterator2 pgn_end2,
-OutputIterator oi);
+                    InputIterator2 pgn_begin2, InputIterator2 pgn_end2,
+                    OutputIterator oi);
 
 /// @}
 } /* namespace CGAL */
 
 namespace CGAL {
-/*!
-\addtogroup boolean_oriented_side Oriented Side Functions
-\ingroup PkgBooleanSetOperations2Ref
-\anchor ref_bso_oriented_side
-
-Each one of these functions returns `ON_POSITIVE_SIDE` if the two
-given polygons `p1` and `p2` intersect in their interior,
-`ON_NEGATIVE_SIDE` if `p1` and `p2` do not intersect at
-all, and `ON_ORIENTED_BOUNDARY` if `p1` and `p2` intersect
-only in their boundaries.
-
-The signature of the function is:
-  - `Oriented_side oriented_side(const Type1 & p1, const Type2 & p2);`
-
-\cgalHeading{Parameters}
-
-The types of the parameters of the `oriented_side()` function are any of the following combinations.
-
-<div align="left">
-<table cellpadding=3 border="1">
-<tr><th>Type1</th><th>Type2</th></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-</table>
-</div>
-
-\sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
-
-*/
-
+/*! \addtogroup boolean_oriented_side Oriented Side Functions
+ * \ingroup PkgBooleanSetOperations2Ref
+ * \anchor ref_bso_oriented_side
+ *
+ * `Oriented_side()` refers to a group of overloaded functions, divided into
+ * two subgroups.
+ *
+ * \cgalHeading{Oriented Side of two Polygons}
+ *
+ * The functions in the first subgroup accept two polygons `pgn1` and `pgn2`.
+ * Each function in this group returns `ON_POSITIVE_SIDE` if the two
+ * given polygons `pgn1` and `pgn2` intersect in their interiors,
+ * `ON_NEGATIVE_SIDE` if `pgn1` and `pgn2` do not intersect at all, and
+ * `ON_ORIENTED_BOUNDARY` if `pgn1` and `pgn2` intersect only in their
+ * boundaries.
+ *
+ * This group is further divided into two sub-subgroups.
+ * A function in the first sub-subgroup has one of the two following signatures:
+ *   - `template <typename Kernel, typename Container> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2);`
+ *   - `template <typename Kernel, typename Container, typename GpsTraits> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2, const GpsTraits& traits);`
+ *
+ * The types of `pgn1` and `pgn2` must be convertible to one of the two types `Polygon_2<Kernel, Container>` or Polygon_with_holes_2<Kernel, Container>`.
+ *
+ * A function in the second sub-subgroup has one of the two following signatures:
+ *   - `template <typename %ArrTraits> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2);`
+ *   - `template <typename %ArrTraits, typename GpsTraits> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2, const GpsTraits& traits);`
+ *
+ * The types of `pgn1` and `pgn2` must be convertible to one of the two types `General_polygon_2<%ArrTraits>` or `General_polygon_with_holes_2<General_polygon_2<Arr_traits> >`.
+ *
+ * \cgalHeading{Oriented Side of a Point and a Polygon}
+ *
+ * The functions in the second group accept a point `p` and a polygon `pgn`.
+ * Each function in this group returns `ON_POSITIVE_SIDE` if the point `p`
+ * is in the interior of `pgn`, `ON_NEGATIVE_SIDE` if `p` is in the exterior
+ * of `pgn`, and `ON_ORIENTED_BOUNDARY` if `p` is on the boundary of `pgn`.
+ * This group is also further divided into two sub-subgroups.
+ * A function in the first sub-subgroup has one of the two following signatures:
+ *   - `template <typename %ArrTraits> Oriented_side oriented_side(const Point_2& p, const Type& pgn);`
+ *   - `template <typename %ArrTraits, typename GpsTraits> Oriented_side oriented_side(const Point_2& p, const Type& pgn, const GpsTraits& traits);`
+ *
+ * `Type` must be convertible to one of `Polygon_2<Kernel, Container>` or `Polygon_with_holes_2<Kernel, Container>`.
+ *
+ * A function in the second sub-subgroup has one of the two following signatures:
+ *   - `template <typename %ArrTraits> Oriented_side oriented_side(const Point_2& p, const Type2& pgn);`
+ *   - `template <typename %ArrTraits, typename GpsTraits> Oriented_side oriented_side(const Point_2& p, const Type2& pgn, const GpsTraits& traits);`
+ * `Type` must be convertible to one of `General_polygon_2<%ArrTraits>` or `General_polygon_with_holes_2<General_polygon_2<Arr_traits> >`.
+ *
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
+ * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
+ */
 
 /// @{
 
-template <class Kernel, class Container>
-Oriented_side oriented_side(const Polygon_2<Kernel, Container> & p1,
-                            const Polygon_2<Kernel, Container> & p2);
+// Polygon--Polygon Traits-less
+template <typename Kernel, typename Container>
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
+                            const Polygon_2<Kernel, Container>& p2);
 
 
-template <class Kernel, class Container>
-Oriented_side oriented_side(const Polygon_2<Kernel, Container> & p1,
-                            const Polygon_with_holes_2<Kernel, Container> & p2);
+template <typename Kernel, typename Container>
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2);
 
 
-template <class Kernel, class Container>
-Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container> & p1,
-                            const Polygon_2<Kernel, Container> & p2);
+template <typename Kernel, typename Container>
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
+                            const Polygon_2<Kernel, Container>& p2);
 
 
-template <class Kernel, class Container>
-Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container> & p1,
-                            const Polygon_with_holes_2<Kernel, Container> & p2);
+template <typename Kernel, typename Container>
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2);
 
 
-template <class Traits>
-Oriented_side oriented_side(const General_polygon_2<Traits> & p1,
-                            const General_polygon_2<Traits> & p2);
+template <typename ArrTraits>
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
+                            const General_polygon_2<ArrTraits>& p2);
 
 
-template <class Traits>
-Oriented_side oriented_side(const General_polygon_2<Traits> & p1,
-                            const General_polygon_with_holes_2<General_polygon_2<Traits> > & p2);
+template <typename ArrTraits>
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2);
 
 
-template <class Traits>
-Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<Traits> > & p1,
-                            const General_polygon_2<Traits> & p2);
+template <typename ArrTraits>
+Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
+                            const General_polygon_2<ArrTraits>& p2);
 
 
-template <class Polygon>
-Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon> & p1,
-                            const General_polygon_with_holes_2<Polygon> & p2);
+template <typename Polygon>
+Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon>& p1,
+                            const General_polygon_with_holes_2<Polygon>& p2);
+
+// Polygon--Polygon With Traits
+template <typename Kernel, typename Container, typename GpsTraits>
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
+                            const Polygon_2<Kernel, Container>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename Kernel, typename Container, typename GpsTraits>
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename Kernel, typename Container, typename GpsTraits>
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
+                            const Polygon_2<Kernel, Container>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename Kernel, typename Container, typename GpsTraits>
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename ArrTraits, typename GpsTraits>
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
+                            const General_polygon_2<ArrTraits>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename ArrTraits, typename GpsTraits>
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+                            const GpsTraits& traits);
+
+
+template <typename ArrTraits, typename GpsTraits>
+Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
+                            const General_polygon_2<ArrTraits>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename Polygon, typename GpsTraits>
+Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon>& p1,
+                            const General_polygon_with_holes_2<Polygon>& p2,
+                            const GpsTraits& traits);
+
+// Point--Polygon Traits-less
+template <typename Kernel, typename Container>
+Oriented_side oriented_side(const Point_2& p1,
+                            const Polygon_2<Kernel, Container>& p2);
+
+
+template <typename Kernel, typename Container>
+Oriented_side oriented_side(const Point_2& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2);
+
+
+template <typename ArrTraits>
+Oriented_side oriented_side(const Point_2& p1,
+                            const General_polygon_2<ArrTraits>& p2);
+
+
+template <typename ArrTraits>
+Oriented_side oriented_side(const Point_2& p1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2);
+
+// Point--Polygon With Traits
+template <typename Kernel, typename Container, typename GpsTraits>
+Oriented_side oriented_side(const Point_2& p1,
+                            const Polygon_2<Kernel, Container>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename Kernel, typename Container, typename GpsTraits>
+Oriented_side oriented_side(const Point_2& p1,
+                            const Polygon_with_holes_2<Kernel, Container>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename ArrTraits, typename GpsTraits>
+Oriented_side oriented_side(const Point_2& p1,
+                            const General_polygon_2<ArrTraits>& p2,
+                            const GpsTraits& traits);
+
+
+template <typename ArrTraits, typename GpsTraits>
+Oriented_side oriented_side(const Point_2& p1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+                            const GpsTraits& traits);
 
 /// @}
 } /* namespace CGAL */
 
 namespace CGAL {
 
-/*!
-\addtogroup boolean_symmetric_difference Symmetric Difference Functions
-\ingroup PkgBooleanSetOperations2Ref
-\anchor ref_bso_symmetric_difference
-
-Each one of these functions computes the symmetric difference between
-two given polygons `p1` and `p2`, and inserts the resulting
-polygons with holes into an output container through the output
-iterator `oi`. The value type of the `OutputIterator` is either
-`Polygon_with_holes_2` or
-`General_polygon_with_holes_2`.
-
-The signature of the function is:
-  - `%OutputIterator symmetric_difference(const Type1 & p1, const Type2 & p2, %OutputIterator oi);`
-
-\cgalHeading{Parameters}
-
-The types of the parameters of the `symmetric_difference()` function are any of the following combinations.
-
-<div align="left">
-<table cellpadding=3 border="1">
-<tr><th> Arg 1 type</th><th>Arg 2 type</th></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
-<tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
-<tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
-</table>
-</div>
-
-
-\sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
-\sa \link boolean_intersection `CGAL::intersection()` \endlink
-\sa \link boolean_join `CGAL::join()` \endlink
-\sa \link boolean_difference `CGAL::difference()` \endlink
-
-*/
+/*! \addtogroup boolean_symmetric_difference Symmetric Difference Functions
+ * \ingroup PkgBooleanSetOperations2Ref
+ * \anchor ref_bso_symmetric_difference
+ *
+ * Each one of these functions computes the symmetric difference between
+ * two given polygons `p1` and `p2`, and inserts the resulting
+ * polygons with holes into an output container through the output
+ * iterator `oi`. The value type of the `OutputIterator` is either
+ * `Polygon_with_holes_2` or
+ * `General_polygon_with_holes_2`.
+ *
+ * The signature of the function is:
+ *   - `%OutputIterator symmetric_difference(const Type1& p1, const Type2& p2, %OutputIterator oi);`
+ *
+ * \cgalHeading{Parameters}
+ *
+ * The types of the parameters of the `symmetric_difference()` function are any of the following combinations.
+ *
+ * <div align="left">
+ * <table cellpadding=3 border="1">
+ * <tr><th> Arg 1 type</th><th>Arg 2 type</th></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * </table>
+ * </div>
+ *
+ * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
+ * \sa \link boolean_intersection `CGAL::intersection()` \endlink
+ * \sa \link boolean_join `CGAL::join()` \endlink
+ * \sa \link boolean_difference `CGAL::difference()` \endlink
+ *
+ */
 
 /// @{
 
-OutputIterator symmetric_difference(const Type1 & p1, const Type2 & p2,
+OutputIterator symmetric_difference(const Type1& p1, const Type2& p2,
                                     OutputIterator oi);
 
 
-template <class Kernel, class Container, class OutputIterator>
-OutputIterator symmetric_difference(const Polygon_2<Kernel, Container> & p1,
-                                    const Polygon_2<Kernel, Container> & p2,
+template <typename Kernel, typename Container, typename OutputIterator>
+OutputIterator symmetric_difference(const Polygon_2<Kernel, Container>& p1,
+                                    const Polygon_2<Kernel, Container>& p2,
                                     OutputIterator oi);
 
 
-template <class Kernel, class Container, class OutputIterator>
+template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
-symmetric_difference(const Polygon_2<Kernel, Container> & p1,
-                     const Polygon_with_holes_2<Kernel, Container> & p2,
+symmetric_difference(const Polygon_2<Kernel, Container>& p1,
+                     const Polygon_with_holes_2<Kernel, Container>& p2,
                      OutputIterator oi);
 
-template <class Kernel, class Container, class OutputIterator>
+template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
-symmetric_difference(const Polygon_with_holes_2<Kernel, Container> & p1,
-                     const Polygon_2<Kernel, Container> & p2,
+symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& p1,
+                     const Polygon_2<Kernel, Container>& p2,
                      OutputIterator oi);
 
 
-template <class Kernel, class Container, class OutputIterator>
+template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
-symmetric_difference(const Polygon_with_holes_2<Kernel, Container> & p1,
-                     const Polygon_with_holes_2<Kernel, Container> & p2,
+symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& p1,
+                     const Polygon_with_holes_2<Kernel, Container>& p2,
                      OutputIterator oi);
 
 
-template <class Traits, class OutputIterator>
-OutputIterator symmetric_difference(const General_polygon_2<Traits> & p1,
-                                    const General_polygon_2<Traits> & p2,
+template <typename ArrTraits, typename OutputIterator>
+OutputIterator symmetric_difference(const General_polygon_2<ArrTraits>& p1,
+                                    const General_polygon_2<ArrTraits>& p2,
                                     OutputIterator oi);
 
 
-template <class Traits, class OutputIterator>
+template <typename ArrTraits, typename OutputIterator>
 OutputIterator
-symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<Traits> > & p1,
-                     const General_polygon_2<Traits> & p2,
+symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
+                     const General_polygon_2<ArrTraits>& p2,
                      OutputIterator oi);
 
 
-template <class Traits, class OutputIterator>
+template <typename ArrTraits, typename OutputIterator>
 OutputIterator
-symmetric_difference(const General_polygon_2<Traits> & p1,
-                     const General_polygon_with_holes_2<General_polygon_2<Traits> > & p2,
+symmetric_difference(const General_polygon_2<ArrTraits>& p1,
+                     const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
                      OutputIterator oi);
 
 
-template <class Polygon, class OutputIterator>
+template <typename Polygon, typename OutputIterator>
 OutputIterator
-symmetric_difference(const General_polygon_with_holes_2<Polygon> & p1,
-                     const General_polygon_with_holes_2<Polygon> & p2,
+symmetric_difference(const General_polygon_with_holes_2<Polygon>& p1,
+                     const General_polygon_with_holes_2<Polygon>& p2,
                      OutputIterator oi);
 
-  /*!
-    computes the symmetric difference of the general polygons (or general
-    polygons with holes) in the given range. A point is contained in the
-    symmetric difference, if and only if it is contained in an odd number of
-    input polygons. (The value type of the input iterator is used to
-    distinguish between the two.) The result, represented by a set
-    of general polygon with holes, is inserted into an output container
-    through a given output iterator `oi`. The output iterator is
-    returned. The value type of the `OutputIterator` is
-    `Traits::Polygon_with_holes_2`.
-  */
-template <class InputIterator, class OutputIterator>
+/*! computes the symmetric difference of the general polygons (or general
+ * polygons with holes) in the given range. A point is contained in the
+ * symmetric difference, if and only if it is contained in an odd number of
+ * input polygons. (The value type of the input iterator is used to distinguish
+ * between the two.) The result, represented by a set of general polygon with
+ * holes, is inserted into an output container through a given output iterator
+ * `oi`. The output iterator is returned. The value type of the `OutputIterator`
+ * is `Traits::Polygon_with_holes_2`.
+ */
+template <typename InputIterator, typename OutputIterator>
 OutputIterator symmetric_difference(InputIterator begin, InputIterator end,
                                     OutputIterator oi);
 
-  /*!
-    computes the symmetric difference of the general polygons and general polygons
-    with holes in the given two ranges. A point is contained in the
-    symmetric difference, if and only if it is contained in an odd number of
-    input polygons. The result, represented by a set of general polygon with
-    holes, is inserted into an output container through a given output
-    iterator `oi`. The output iterator is returned. The value type of
-    the `OutputIterator` is `Traits::Polygon_with_holes_2`.
-  */
-template <class InputIterator1, class InputIterator2, class OutputIterator>
+/*! computes the symmetric difference of the general polygons and general
+ * polygons with holes in the given two ranges. A point is contained in the
+ * symmetric difference, if and only if it is contained in an odd number of
+ * input polygons. The result, represented by a set of general polygon with
+ * holes, is inserted into an output container through a given output iterator
+ * `oi`. The output iterator is returned. The value type of the `OutputIterator`
+ * is `Traits::Polygon_with_holes_2`.
+ */
+template <typename InputIterator1, typename InputIterator2, typename OutputIterator>
 OutputIterator symmetric_difference(InputIterator1 pgn_begin1,
                                     InputIterator1 pgn_end1,
                                     InputIterator2 pgn_begin2,
@@ -830,4 +884,3 @@ OutputIterator symmetric_difference(InputIterator1 pgn_begin1,
 /// @}
 
 } /* namespace CGAL */
-

From 460faca82feb7489f83f0c92eb394d2cb05ce66a Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Thu, 1 Oct 2020 02:35:42 +0300
Subject: [PATCH 057/317] Fixed complement() doc

---
 .../CGAL/Boolean_set_operations_2.h           | 38 ++++++++++++++++++-
 1 file changed, 37 insertions(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 11f006379e7..d9767797cf2 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -22,6 +22,7 @@ namespace CGAL {
 
 /// @{
 
+// Traits-less
 /*! writes the complement of the polygon `pgn` into the polygon with holes `res`.
  */
 template <typename Kernel, typename Container>
@@ -49,6 +50,41 @@ OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn, OutputIterator oi);
+
+// With Traits
+/*! writes the complement of the polygon `pgn` into the polygon with holes `res`.
+ */
+  template <typename Kernel, typename Container, typename GpsTraits>
+void complement(const Polygon_2<Kernel, Container>& pgn,
+                Polygon_with_holes_2<Kernel, Container>& res,
+                const GpsTraits& traits);
+
+/*! writes the complement of the general polygon `pgn` into the  general polygon
+ * with holes `res`.
+ */
+template <typename ArrTraits, typename GpsTraits>
+void complement(const General_polygon_2<ArrTraits>& pgn,
+                General_polygon_with_holes_2<ArrTraits>& res,
+                const GpsTraits& traits);
+
+/*! writes the complement of the polygon with holes `pgn` into the  output
+ * iterator `oi`.
+ * The value type of `oi` is `Polygon_with_holes_2`.
+ */
+template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! writes the complement of the general polygon with holes `pgn` into the
+ * output iterator `oi`.
+ * The value type of `oi` is `General_polygon_with_holes_2`.
+ */
+template <typename ArrTraits, typename OutputIterato, typename GpsTraitsr>
+OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
 /// @}
 
 } /* namespace CGAL */
@@ -568,7 +604,7 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_oriented_side
  *
- * `Oriented_side()` refers to a group of overloaded functions, divided into
+ * `Oriented_side()` refers to a group of overloaded functions divided into
  * two subgroups.
  *
  * \cgalHeading{Oriented Side of two Polygons}

From ed58eccc0fe81c020842e7f9da04f1aa07644a4d Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Thu, 1 Oct 2020 03:27:15 +0300
Subject: [PATCH 058/317] Fixed complement()

---
 .../CGAL/Boolean_set_operations_2.h           | 106 +++++++++++++-----
 1 file changed, 78 insertions(+), 28 deletions(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index d9767797cf2..3217ece8c79 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -4,14 +4,19 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_complement
  *
- * The `complement` function is overloaded. Depending on the type of polygon
+ * There are several overloaded functions called `complement` that computes
+ * the complement of a given polygon `pgn` . Depending on the type of polygon
  * `pgn` the complement is either a single (general) polygon with holes, or
  * several (general) poylgons with holes. In the latter case the `complement
  * function` writes them into an output iterator `oi`.
  *
- * \param pgn The input polygon for the `complement` function. It may be of the
- * type `Polygon_2`, `General_polygon_2`, `Polygon_with_holes_2`, or
- * `General_polygon_with_holes_2`.
+ * \param pgn The input polygon for the `complement` function. Its type must
+ *        be convertible to one of the types `Polygon_2`, `General_polygon_2`,
+ *        `Polygon_with_holes_2`, or `General_polygon_with_holes_2`.
+ *
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
@@ -23,62 +28,86 @@ namespace CGAL {
 /// @{
 
 // Traits-less
-/*! writes the complement of the polygon `pgn` into the polygon with holes `res`.
+
+/*! Computes the complement of a polygon.
+ * \param pgn the input polygon
+ * \param res the complement of \p pgn.
  */
 template <typename Kernel, typename Container>
 void complement(const Polygon_2<Kernel, Container>& pgn,
                 Polygon_with_holes_2<Kernel, Container>& res);
 
-/*! writes the complement of the general polygon `pgn` into the  general polygon
- * with holes `res`.
+/*! Computes the complement of a general polygon.
+ * \param pgn the input polygon
+ * \param res the complement of \p pgn
  */
 template <typename ArrTraits>
 void complement(const General_polygon_2<ArrTraits>& pgn,
                 General_polygon_with_holes_2<ArrTraits>& res);
 
-/*! writes the complement of the polygon with holes `pgn` into the  output
- * iterator `oi`.
- * The value type of `oi` is `Polygon_with_holes_2`.
+/*! Computes the complement of a polygon with holes.
+ * \param pgn the input polygon
+ * \param oi the output iterator for the result.
+ *           Its dereference type is `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
-template <typename ArrTraits, typename OutputIterator>
+template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
                           OutputIterator oi);
 
-/*! writes the complement of the general polygon with holes `pgn` into the
- * output iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! Computes the complement of a general polygon with holes.
+ * \param pgn the input polygon
+ * \param oi the output iterator for the result.
+ *           Its dereference type is
+ *             `General_polygon_with_holes_2<<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn, OutputIterator oi);
+OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
+                          OutputIterator oi);
 
 // With Traits
-/*! writes the complement of the polygon `pgn` into the polygon with holes `res`.
+
+/*! Computes the complement of a polygon.
+ * \param pgn the input polygon
+ * \param res the complement of \p pgn
+ * \param traits a model of `GeneralPolygonSetTraits_2`
  */
-  template <typename Kernel, typename Container, typename GpsTraits>
+template <typename Kernel, typename Container, typename GpsTraits>
 void complement(const Polygon_2<Kernel, Container>& pgn,
                 Polygon_with_holes_2<Kernel, Container>& res,
                 const GpsTraits& traits);
 
-/*! writes the complement of the general polygon `pgn` into the  general polygon
- * with holes `res`.
+/*! Computes the complement of a general polygon.
+ * \param pgn the input polygon
+ * \param res the complement of \p pgn
+ * \param traits a model of `GeneralPolygonSetTraits_2`
  */
 template <typename ArrTraits, typename GpsTraits>
 void complement(const General_polygon_2<ArrTraits>& pgn,
                 General_polygon_with_holes_2<ArrTraits>& res,
                 const GpsTraits& traits);
 
-/*! writes the complement of the polygon with holes `pgn` into the  output
- * iterator `oi`.
- * The value type of `oi` is `Polygon_with_holes_2`.
+/*! Computes the complement of a polygon with holes.
+ * \param pgn the input polygon
+ * \param oi the output iterator for the result.
+ *           Its dereference type is `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a model of `GeneralPolygonSetTraits_2`
+ * \return the past-the-end iterator of the output container.
  */
-template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
 OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! writes the complement of the general polygon with holes `pgn` into the
- * output iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! Computes the complement of the general polygon with holes.
+ * \param pgn the input polygon
+ * \param oi the output iterator for the result.
+ *           Its dereference type is
+ *             `General_polygon_with_holes_2<<General_polygon_2<ArrTraits> >`.
+ * \param traits a model of `GeneralPolygonSetTraits_2`
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterato, typename GpsTraitsr>
 OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
@@ -124,6 +153,10 @@ namespace CGAL {
  * </table>
  * </div>
  *
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
@@ -238,6 +271,10 @@ namespace CGAL {
  * </table>
  * </div>
  *
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -355,6 +392,10 @@ namespace CGAL {
  * </table>
  * </div>
  *
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -495,6 +536,10 @@ namespace CGAL {
  * </table>
  * </div>
  *
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -604,8 +649,9 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_oriented_side
  *
- * `Oriented_side()` refers to a group of overloaded functions divided into
- * two subgroups.
+ * There are several overloaded functions called `Oriented_side()` that computes
+ * the relative position of two polygons or of a point and a polygon. This group
+ * of functions is  divided into two subgroups.
  *
  * \cgalHeading{Oriented Side of two Polygons}
  *
@@ -825,6 +871,10 @@ namespace CGAL {
  * </table>
  * </div>
  *
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink

From 15ef09b5983f9de457b2b5136a2f1565345c500d Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Thu, 1 Oct 2020 17:37:38 +0300
Subject: [PATCH 059/317] ifference()

---
 .../CGAL/Boolean_set_operations_2.h           | 907 ++++++++++++------
 .../include/CGAL/Boolean_set_operations_2.h   |   2 +-
 2 files changed, 605 insertions(+), 304 deletions(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 3217ece8c79..fb9701bd5c7 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -4,19 +4,16 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_complement
  *
- * There are several overloaded functions called `complement` that computes
- * the complement of a given polygon `pgn` . Depending on the type of polygon
- * `pgn` the complement is either a single (general) polygon with holes, or
- * several (general) poylgons with holes. In the latter case the `complement
- * function` writes them into an output iterator `oi`.
+ * There are several overloaded function templates called `complement()` that
+ * compute the \e complement of a given polygon `pgn`. Depending on the type of
+ * the polygon `pgn` the complement is either a single (general) polygon with
+ * holes, or several (general) poylgons with holes. In the latter case the
+ * `complement()` function template inserts the resulting poylgons with holes into
+ * a container via an output iterator.
  *
- * \param pgn The input polygon for the `complement` function. Its type must
- *        be convertible to one of the types `Polygon_2`, `General_polygon_2`,
- *        `Polygon_with_holes_2`, or `General_polygon_with_holes_2`.
- *
- * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ * \param pgn The input polygon. Its type must be convertible to one of the
+ *        types `Polygon_2`, `General_polygon_2`, `Polygon_with_holes_2`, or
+ *        `General_polygon_with_holes_2`.
  *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
@@ -30,25 +27,27 @@ namespace CGAL {
 // Traits-less
 
 /*! Computes the complement of a polygon.
- * \param pgn the input polygon
- * \param res the complement of \p pgn.
+ * \param pgn the input polygon.
+ * \param res the resulting complement of \p pgn.
  */
 template <typename Kernel, typename Container>
 void complement(const Polygon_2<Kernel, Container>& pgn,
                 Polygon_with_holes_2<Kernel, Container>& res);
 
 /*! Computes the complement of a general polygon.
- * \param pgn the input polygon
- * \param res the complement of \p pgn
+ * \param pgn the input polygon.
+ * \param res the complement of \p pgn.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
 void complement(const General_polygon_2<ArrTraits>& pgn,
-                General_polygon_with_holes_2<ArrTraits>& res);
+                General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res);
 
 /*! Computes the complement of a polygon with holes.
- * \param pgn the input polygon
+ * \param pgn the input polygon.
  * \param oi the output iterator for the result.
- *           Its dereference type is `Polygon_with_holes_2<Kernel, Container>`.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
  * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
@@ -56,11 +55,12 @@ OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
                           OutputIterator oi);
 
 /*! Computes the complement of a general polygon with holes.
- * \param pgn the input polygon
+ * \param pgn the input polygon.
  * \param oi the output iterator for the result.
- *           Its dereference type is
+ *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
@@ -69,9 +69,10 @@ OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<A
 // With Traits
 
 /*! Computes the complement of a polygon.
- * \param pgn the input polygon
- * \param res the complement of \p pgn
- * \param traits a model of `GeneralPolygonSetTraits_2`
+ * \param pgn the input polygon.
+ * \param res the resulting complement of \p pgn
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
  */
 template <typename Kernel, typename Container, typename GpsTraits>
 void complement(const Polygon_2<Kernel, Container>& pgn,
@@ -79,21 +80,26 @@ void complement(const Polygon_2<Kernel, Container>& pgn,
                 const GpsTraits& traits);
 
 /*! Computes the complement of a general polygon.
- * \param pgn the input polygon
- * \param res the complement of \p pgn
- * \param traits a model of `GeneralPolygonSetTraits_2`
+ * \param pgn the input polygon.
+ * \param res the resulting complement of \p pgn
+ * \param traits a traits object.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  */
 template <typename ArrTraits, typename GpsTraits>
 void complement(const General_polygon_2<ArrTraits>& pgn,
-                General_polygon_with_holes_2<ArrTraits>& res,
+                General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res,
                 const GpsTraits& traits);
 
 /*! Computes the complement of a polygon with holes.
- * \param pgn the input polygon
+ * \param pgn the input polygon.
  * \param oi the output iterator for the result.
- *           Its dereference type is `Polygon_with_holes_2<Kernel, Container>`.
- * \param traits a model of `GeneralPolygonSetTraits_2`
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
  * \return the past-the-end iterator of the output container.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
  */
 template <typename Kernel, typename Container, typename OutputIterator,
           typename GpsTraits>
@@ -102,15 +108,18 @@ OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
                           const GpsTraits& traits);
 
 /*! Computes the complement of the general polygon with holes.
- * \param pgn the input polygon
+ * \param pgn the input polygon.
  * \param oi the output iterator for the result.
- *           Its dereference type is
+ *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<<General_polygon_2<ArrTraits> >`.
- * \param traits a model of `GeneralPolygonSetTraits_2`
+ * \param traits a traits object.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  */
-template <typename ArrTraits, typename OutputIterato, typename GpsTraitsr>
-OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
+template <typename Polygon, typename OutputIterato, typename GpsTraitsr>
+OutputIterator complement(const General_polygon_with_holes_2<Polygon>& pgn,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
@@ -124,39 +133,29 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_difference
  *
- * Each one of these functions computes the difference between two given
- * polygons `p1` and `p2`, and inserts the resulting polygons
- * with holes into an output container through the output iterator `oi`.
- * The value type of the `OutputIterator` is either
- * `Polygon_with_holes_2` or
- * `General_polygon_with_holes_2`.
+ * There are several overloaded function templates called `difference()` that
+ * computes the \e difference between two polygons `pgn1` and `pgn2` and inserts
+ * the resulting polygons with holes into a container via the output iterator `oi`.
  *
- * The signature of the function is:
- *   - `%OutputIterator %difference(const Type1& p1, const Type2& p2, %OutputIterator oi);`
+ * \param oi the output iterator for the result.
  *
- * \cgalHeading{Parameters}
- *
- * The types of the parameters of the `difference()` function are any of the
- * following combinations.
+ * The types `Type1` and `Type2` of the parameters must be convertible to the types specified in a row in the table below, respectively.
+ * The 3rd column specifies the corresponding dereference type of the output iterator.
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Type1</th><th>Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>`Type1`</th>                                       <th>`Type2`</th>                                       <th>%Dereference Type of `oi`</th></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
  * </table>
  * </div>
  *
- * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
- *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
@@ -165,77 +164,257 @@ namespace CGAL {
 
 /// @{
 
-/*! writes the difference of the polygons `p1` and `p2` into the output iterator
- * `oi`.
- *  The value type of `oi` is `Polygon_with_holes_2`.
+//////// Traits-less
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator difference(const Polygon_2<Kernel, Container>& p1,
-                          const Polygon_2<Kernel, Container>& p2,
+OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
+                          const Polygon_2<Kernel, Container>& pgn2,
                           OutputIterator oi);
 
-/*! writes the difference of the polygons `p1` and `p2` into the output iterator
- * `oi`.
- *  The value type of `oi` is `Polygon_with_holes_2`.
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator difference(const Polygon_2<Kernel, Container>& p1,
-                          const Polygon_with_holes_2<Kernel,Container>& p2,
+OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
+                          const Polygon_with_holes_2<Kernel,Container>& pgn2,
                           OutputIterator oi);
 
-/*! writes the difference of the polygons `p1` and `p2` into the output iterator
- * `oi`.
- *  The value type of `oi` is `Polygon_with_holes_2`.
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& p1,
-                          const Polygon_2<Kernel, Container>& p2,
+OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                          const Polygon_2<Kernel, Container>& pgn2,
                           OutputIterator oi);
 
-/*! writes the difference of the polygons `p1` and `p2` into the output iterator
- * `oi`.
- * The value type of `oi` is `Polygon_with_holes_2`.
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& p1,
-                          const Polygon_with_holes_2<Kernel, Container>& p2,
+OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                          const Polygon_with_holes_2<Kernel, Container>& pgn2,
                           OutputIterator oi);
 
-/*! writes the difference of the general polygons `p1` and `p2` into the output
- * iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator difference(const General_polygon_2<ArrTraits>& p1,
-                          const General_polygon_2<ArrTraits>& p2,
+OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
+                          const General_polygon_2<ArrTraits>& pgn2,
                           OutputIterator oi);
 
-/*! writes the difference of the general polygons `p1` and `p2` into the output
- * iterator `oi`.
- *  The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
-                          const General_polygon_2<ArrTraits>& p2,
+OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                          const General_polygon_2<ArrTraits>& pgn2,
                           OutputIterator oi);
 
-/*! writes the difference of the general polygons `p1` and `p2` into the output
- * iterator `oi`.
- *  The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator difference(const General_polygon_2<ArrTraits>& p1,
-                          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
+                          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
                           OutputIterator oi);
 
-/*! writes the difference of the general polygons `p1` and `p2` into the output
- * iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<Polygon>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Polygon, typename OutputIterator>
-OutputIterator difference(const General_polygon_with_holes_2<Polygon>& p1,
-                          const General_polygon_with_holes_2<Polygon>& p2,
+OutputIterator difference(const General_polygon_with_holes_2<Polygon>& pgn1,
+                          const General_polygon_with_holes_2<Polygon>& pgn2,
                           OutputIterator oi);
+
+//////// With Traits
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+  template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
+                          const Polygon_2<Kernel, Container>& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
+                          const Polygon_with_holes_2<Kernel,Container>& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                          const Polygon_2<Kernel, Container>& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                          const Polygon_with_holes_2<Kernel, Container>& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
+                          const General_polygon_2<ArrTraits>& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                          const General_polygon_2<ArrTraits>& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
+                          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
+
+/*! computes the difference of the polygons and inserts the resulting polygon
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertibe to
+ *             `General_polygon_with_holes_2<Polygon>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Polygon, typename OutputIterator, typename GpsTraits>
+OutputIterator difference(const General_polygon_with_holes_2<Polygon>& pgn1,
+                          const General_polygon_with_holes_2<Polygon>& pgn2,
+                          OutputIterator oi,
+                          const GpsTraits& traits);
 /// @}
 
 } /* namespace CGAL */
@@ -247,10 +426,10 @@ namespace CGAL {
  * \anchor ref_bso_do_intersect
  *
  * Each one of these functions computes if the interior of two given
- * polygons `p1` and `p2` intersect.
+ * polygons `pgn1` and `pgn2` intersect.
  *
  * The signature of the function is:
- *   - `bool do_intersect(const Type1& p1, const Type2& p2);`
+ *   - `bool do_intersect(const Type1& pgn1, const Type2& pgn2);`
  *
  * \cgalHeading{Parameters}
  *
@@ -283,58 +462,58 @@ namespace CGAL {
 
 /// @{
 
-/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
  */
 template <typename Kernel, typename Container>
-bool do_intersect(const Polygon_2<Kernel, Container>& p1,
-                  const Polygon_2<Kernel, Container>& p2);
+bool do_intersect(const Polygon_2<Kernel, Container>& pgn1,
+                  const Polygon_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
  */
 template <typename Kernel, typename Container>
-bool do_intersect(const Polygon_2<Kernel, Container>& p1,
-                  const Polygon_with_holes_2<Kernel, Container>& p2);
+bool do_intersect(const Polygon_2<Kernel, Container>& pgn1,
+                  const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
  */
 template <typename Kernel, typename Container>
-bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& p1,
-                  const Polygon_2<Kernel, Container>& p2);
+bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                  const Polygon_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the polygons `p1` and `p2` intersect in their interior.
+/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
  */
 template <typename Kernel, typename Container>
-bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& p1,
-                  const Polygon_with_holes_2<Kernel, Container>& p2);
+bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                  const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
  * interior.
  */
 template <typename ArrTraits>
-bool do_intersect(const General_polygon_2<ArrTraits>& p1,
-                  const General_polygon_2<ArrTraits>& p2);
+bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
+                  const General_polygon_2<ArrTraits>& pgn2);
 
-/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
  * interior.
  */
 template <typename ArrTraits>
-bool do_intersect(const General_polygon_2<ArrTraits>& p1,
-                  const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2);
+bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
+                  const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2);
 
-/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
  * interior.
  */
 template <typename ArrTraits>
-bool do_intersect(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
-                  const General_polygon_2<ArrTraits>& p2);
+bool do_intersect(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                  const General_polygon_2<ArrTraits>& pgn2);
 
 
-/*! returns `true` if the general polygons `p1` and `p2` intersect in their
+/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
  * interior.
  */
 template <typename Polygon>
-bool do_intersect(const General_polygon_with_holes_2<Polygon>& p1,
-                  const General_polygon_with_holes_2<Polygon>& p2);
+bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
+                  const General_polygon_with_holes_2<Polygon>& pgn2);
 
 /*! returns `true`, if the set of general polygons (or general polygons with
  * holes) in the given range intersect in their interior, and `false`
@@ -363,14 +542,14 @@ namespace CGAL {
  * \anchor ref_bso_intersection
  *
  * Each one of these functions computes the intersection of two given
- * polygons `p1` and `p2`, inserts the resulting polygons with
+ * polygons `pgn1` and `pgn2`, inserts the resulting polygons with
  * holes into an output container through a given output iterator
  * `oi`, and returns the output iterator. The value type of the
  * `OutputIterator` is either `Polygon_with_holes_2` or
  * `General_polygon_with_holes_2`.
  *
  * The signature of the function is:
- *   - `%OutputIterator %intersection(const Type1& p1, const Type2& p2,
+ *   - `%OutputIterator %intersection(const Type1& pgn1, const Type2& pgn2,
  *                                    %OutputIterator oi);`
  *
  * \cgalHeading{Parameters}
@@ -405,74 +584,74 @@ namespace CGAL {
 
 /// @{
 
-/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
  *  The value type of `oi` is `Polygon_with_holes_2`.
  */
-OutputIterator intersection(const Type1& p1, const Type2& p2,
+OutputIterator intersection(const Type1& pgn1, const Type2& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `Polygon_with_holes_2`.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator intersection(const Polygon_2<Kernel, Container>& p1,
-                            const Polygon_2<Kernel, Container>& p2,
+OutputIterator intersection(const Polygon_2<Kernel, Container>& pgn1,
+                            const Polygon_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `Polygon_with_holes_2`.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator intersection(const Polygon_2<Kernel, Container>& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2,
+OutputIterator intersection(const Polygon_2<Kernel, Container>& pgn1,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `Polygon_with_holes_2`.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& p1,
-                            const Polygon_2<Kernel, Container>& p2,
+OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                            const Polygon_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `Polygon_with_holes_2`.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2,
+OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `General_polygon_with_holes_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator intersection(const General_polygon_2<ArrTraits>& p1,
-                            const General_polygon_2<ArrTraits>& p2,
+OutputIterator intersection(const General_polygon_2<ArrTraits>& pgn1,
+                            const General_polygon_2<ArrTraits>& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `General_polygon_with_holes_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator intersection(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
-                            const General_polygon_2<ArrTraits>& p2,
+OutputIterator intersection(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                            const General_polygon_2<ArrTraits>& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `General_polygon_with_holes_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator intersection(const General_polygon_2<ArrTraits>& p1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+OutputIterator intersection(const General_polygon_2<ArrTraits>& pgn1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
                             OutputIterator oi);
 
-/*! writes the intersection of the general polygons `p1` and `p2` into the output iterator `oi`.
+/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
  * The value type of `oi` is `General_polygon_with_holes_2`.
  */
 template <typename Polygon, typename OutputIterator>
-OutputIterator intersection(const General_polygon_with_holes_2<Polygon>& p1,
-                            const General_polygon_with_holes_2<Polygon>& p2,
+OutputIterator intersection(const General_polygon_with_holes_2<Polygon>& pgn1,
+                            const General_polygon_with_holes_2<Polygon>& pgn2,
                             OutputIterator oi);
 
 
@@ -511,12 +690,12 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_union
  *
- * Each one of these functions computes the union of two given polygons `p1` and
- * `p2`. If the two given polygons overlap, it returns `true`, and places the
+ * Each one of these functions computes the union of two given polygons `pgn1` and
+ * `pgn2`. If the two given polygons overlap, it returns `true`, and places the
  * resulting polygon in `p`. Otherwise, it returns `false`.
  *
  * The signature of the function is:
- *   - `bool join(const Type1& p1, const Type2& p2, General_polygon_with_holes_2& res);`
+ *   - `bool join(const Type1& pgn1, const Type2& pgn2, General_polygon_with_holes_2& res);`
  *
  * \cgalHeading{Parameters}
  *
@@ -548,75 +727,75 @@ namespace CGAL {
 
 /// @{
 
-/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  *  Returns `true` if the two given polygons overlap.
  */
 template <typename Kernel, typename Container>
-bool join(const Polygon_2<Kernel, Container>& p1,
-          const Polygon_2<Kernel, Container>& p2,
+bool join(const Polygon_2<Kernel, Container>& pgn1,
+          const Polygon_2<Kernel, Container>& pgn2,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  * Returns `true` if the two given polygons overlap.
  */
 template <typename Kernel, typename Container>
-bool join(const Polygon_2<Kernel, Container>& p1,
-          const Polygon_with_holes_2<Kernel,Container>& p2,
+bool join(const Polygon_2<Kernel, Container>& pgn1,
+          const Polygon_with_holes_2<Kernel,Container>& pgn2,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  * Returns `true` if the two given polygons overlap.
  */
 template <typename Kernel, typename Container>
-bool join(const Polygon_with_holes_2<Kernel, Container>& p2,
-          const Polygon_2<Kernel, Container>& p1,
+bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
+          const Polygon_2<Kernel, Container>& pgn1,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  * Returns `true` if the two given polygons overlap.
  */
 template <typename Kernel, typename Container>
-bool join(const Polygon_with_holes_2<Kernel, Container>& p2,
-          const Polygon_with_holes_2<Kernel, Container>& p1,
+bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
+          const Polygon_with_holes_2<Kernel, Container>& pgn1,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the general polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  * Returns `true` if the two given polygons overlap.
  */
 template <typename ArrTraits>
-bool join(const General_polygon_2<ArrTraits>& p1,
-          const General_polygon_2<ArrTraits>& p2,
+bool join(const General_polygon_2<ArrTraits>& pgn1,
+          const General_polygon_2<ArrTraits>& pgn2,
           General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*! writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  * Returns `true` if the two given polygons overlap.
  */
 template <typename ArrTraits>
-bool join(const General_polygon_2<ArrTraits>& p1,
-          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+bool join(const General_polygon_2<ArrTraits>& pgn1,
+          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
           General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*! writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the general polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  * Returns `true` if the two given polygons overlap.
  */
 template <typename ArrTraits>
-bool join(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
-          const General_polygon_2<ArrTraits>& p1,
+bool join(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+          const General_polygon_2<ArrTraits>& pgn1,
           General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*! writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.
+/*! computes the union of the general polygons `pgn1` and `pgn2` into the polygon with holes `res`.
  * Returns `true` if the two given polygons overlap.
  */
 template <typename Polygon>
-bool join(const General_polygon_with_holes_2<Polygon>& p1,
-          const General_polygon_with_holes_2<Polygon>& p2,
+bool join(const General_polygon_with_holes_2<Polygon>& pgn1,
+          const General_polygon_with_holes_2<Polygon>& pgn2,
           Traits::Polygon_with_holes_2& res);
 
 /*! computes the union of the general polygons (or general polygons with holes)
@@ -649,31 +828,38 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_oriented_side
  *
- * There are several overloaded functions called `Oriented_side()` that computes
- * the relative position of two polygons or of a point and a polygon. This group
- * of functions is  divided into two subgroups.
+ * There are several overloaded function templatess called `Oriented_side()`
+ * that computes the relative position of either (i) two polygons or (ii) a
+ * point and a polygon. This group of function templates is divided into two
+ * subgroups.
  *
  * \cgalHeading{Oriented Side of two Polygons}
  *
- * The functions in the first subgroup accept two polygons `pgn1` and `pgn2`.
- * Each function in this group returns `ON_POSITIVE_SIDE` if the two
- * given polygons `pgn1` and `pgn2` intersect in their interiors,
- * `ON_NEGATIVE_SIDE` if `pgn1` and `pgn2` do not intersect at all, and
- * `ON_ORIENTED_BOUNDARY` if `pgn1` and `pgn2` intersect only in their
- * boundaries.
+ * Every function template in the first subgroup accepts two polygons `pgn1` and
+ * `pgn2`.  It returns `ON_POSITIVE_SIDE` if the two given polygons `pgn1` and
+ * `pgn2` intersect in their interiors, `ON_NEGATIVE_SIDE` if `pgn1` and `pgn2`
+ * do not intersect at all, and `ON_ORIENTED_BOUNDARY` if `pgn1` and `pgn2`
+ * intersect only in their boundaries.
  *
- * This group is further divided into two sub-subgroups.
- * A function in the first sub-subgroup has one of the two following signatures:
- *   - `template <typename Kernel, typename Container> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2);`
- *   - `template <typename Kernel, typename Container, typename GpsTraits> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2, const GpsTraits& traits);`
+ * A function template in this subgroup has one of the two following signatures:
+ *   - `Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2);`
+ *   - `Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2, const GpsTraits& traits);`
  *
- * The types of `pgn1` and `pgn2` must be convertible to one of the two types `Polygon_2<Kernel, Container>` or Polygon_with_holes_2<Kernel, Container>`.
+ * The types `Type1` and `Type2` of the parameters must be convertible to the types specified in a row in the following table, respectively.
  *
- * A function in the second sub-subgroup has one of the two following signatures:
- *   - `template <typename %ArrTraits> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2);`
- *   - `template <typename %ArrTraits, typename GpsTraits> Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2, const GpsTraits& traits);`
- *
- * The types of `pgn1` and `pgn2` must be convertible to one of the two types `General_polygon_2<%ArrTraits>` or `General_polygon_with_holes_2<General_polygon_2<Arr_traits> >`.
+ * <div align="left">
+ * <table cellpadding=3 border="1">
+ * <tr><th>Type1</th>                                       <th>Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * </table>
+ * </div>
  *
  * \cgalHeading{Oriented Side of a Point and a Polygon}
  *
@@ -681,21 +867,16 @@ namespace CGAL {
  * Each function in this group returns `ON_POSITIVE_SIDE` if the point `p`
  * is in the interior of `pgn`, `ON_NEGATIVE_SIDE` if `p` is in the exterior
  * of `pgn`, and `ON_ORIENTED_BOUNDARY` if `p` is on the boundary of `pgn`.
- * This group is also further divided into two sub-subgroups.
- * A function in the first sub-subgroup has one of the two following signatures:
- *   - `template <typename %ArrTraits> Oriented_side oriented_side(const Point_2& p, const Type& pgn);`
- *   - `template <typename %ArrTraits, typename GpsTraits> Oriented_side oriented_side(const Point_2& p, const Type& pgn, const GpsTraits& traits);`
  *
- * `Type` must be convertible to one of `Polygon_2<Kernel, Container>` or `Polygon_with_holes_2<Kernel, Container>`.
+ * A function in this subgroup has one of the two following signatures:
+ *   - `Oriented_side oriented_side(const Point_2& p, const Type& pgn);`
+ *   - `Oriented_side oriented_side(const Point_2& p, const Type& pgn, const GpsTraits& traits);`
  *
- * A function in the second sub-subgroup has one of the two following signatures:
- *   - `template <typename %ArrTraits> Oriented_side oriented_side(const Point_2& p, const Type2& pgn);`
- *   - `template <typename %ArrTraits, typename GpsTraits> Oriented_side oriented_side(const Point_2& p, const Type2& pgn, const GpsTraits& traits);`
- * `Type` must be convertible to one of `General_polygon_2<%ArrTraits>` or `General_polygon_with_holes_2<General_polygon_2<Arr_traits> >`.
- *
- * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ * `Type` must be convertible to one of
+ *   `Polygon_2`,
+ *   `Polygon_with_holes_2`,
+ *   `General_polygon_2`, or
+ *   `General_polygon_with_holes_2`.
  *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  */
@@ -703,135 +884,255 @@ namespace CGAL {
 /// @{
 
 // Polygon--Polygon Traits-less
+
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
-                            const Polygon_2<Kernel, Container>& p2);
-
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& pgn1,
+                            const Polygon_2<Kernel, Container>& pgn2);
 
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2);
-
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& pgn1,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
-                            const Polygon_2<Kernel, Container>& p2);
-
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                            const Polygon_2<Kernel, Container>& pgn2);
 
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2);
-
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
+/*! computes the relative position of two polygons.
+ * \param pgn1 1st the input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ */
 template <typename ArrTraits>
-Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
-                            const General_polygon_2<ArrTraits>& p2);
-
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
+                            const General_polygon_2<ArrTraits>& pgn2);
 
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ */
 template <typename ArrTraits>
-Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2);
-
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2);
 
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ */
 template <typename ArrTraits>
-Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
-                            const General_polygon_2<ArrTraits>& p2);
-
+Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                            const General_polygon_2<ArrTraits>& pgn2);
 
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ */
 template <typename Polygon>
-Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon>& p1,
-                            const General_polygon_with_holes_2<Polygon>& p2);
+Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon>& pgn1,
+                            const General_polygon_with_holes_2<Polygon>& pgn2);
 
 // Polygon--Polygon With Traits
+
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
 template <typename Kernel, typename Container, typename GpsTraits>
-Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
-                            const Polygon_2<Kernel, Container>& p2,
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& pgn1,
+                            const Polygon_2<Kernel, Container>& pgn2,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
 template <typename Kernel, typename Container, typename GpsTraits>
-Oriented_side oriented_side(const Polygon_2<Kernel, Container>& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2,
+Oriented_side oriented_side(const Polygon_2<Kernel, Container>& pgn1,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn2,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
 template <typename Kernel, typename Container, typename GpsTraits>
-Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
-                            const Polygon_2<Kernel, Container>& p2,
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                            const Polygon_2<Kernel, Container>& pgn2,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
 template <typename Kernel, typename Container, typename GpsTraits>
-Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2,
+Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn2,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
+ */
 template <typename ArrTraits, typename GpsTraits>
-Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
-                            const General_polygon_2<ArrTraits>& p2,
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
+                            const General_polygon_2<ArrTraits>& pgn2,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
+ */
 template <typename ArrTraits, typename GpsTraits>
-Oriented_side oriented_side(const General_polygon_2<ArrTraits>& p1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
+                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
+ */
 template <typename ArrTraits, typename GpsTraits>
-Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
-                            const General_polygon_2<ArrTraits>& p2,
+Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                            const General_polygon_2<ArrTraits>& pgn2,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
 template <typename Polygon, typename GpsTraits>
-Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon>& p1,
-                            const General_polygon_with_holes_2<Polygon>& p2,
+Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon>& pgn1,
+                            const General_polygon_with_holes_2<Polygon>& pgn2,
                             const GpsTraits& traits);
 
 // Point--Polygon Traits-less
+
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Point_2& p1,
-                            const Polygon_2<Kernel, Container>& p2);
-
+Oriented_side oriented_side(const Point_2& p,
+                            const Polygon_2<Kernel, Container>& pgn);
 
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Point_2& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2);
-
+Oriented_side oriented_side(const Point_2& p,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn);
 
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ */
 template <typename ArrTraits>
-Oriented_side oriented_side(const Point_2& p1,
-                            const General_polygon_2<ArrTraits>& p2);
+Oriented_side oriented_side(const Point_2& p,
+                            const General_polygon_2<ArrTraits>& pgn);
 
-
-template <typename ArrTraits>
-Oriented_side oriented_side(const Point_2& p1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2);
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ */
+template <typename Polygon>
+Oriented_side oriented_side(const Point_2& p,
+                            const General_polygon_with_holes_2<Polygon>& pgn);
 
 // Point--Polygon With Traits
+
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
 template <typename Kernel, typename Container, typename GpsTraits>
-Oriented_side oriented_side(const Point_2& p1,
-                            const Polygon_2<Kernel, Container>& p2,
+Oriented_side oriented_side(const Point_2& p,
+                            const Polygon_2<Kernel, Container>& pgn,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
 template <typename Kernel, typename Container, typename GpsTraits>
-Oriented_side oriented_side(const Point_2& p1,
-                            const Polygon_with_holes_2<Kernel, Container>& p2,
+Oriented_side oriented_side(const Point_2& p,
+                            const Polygon_with_holes_2<Kernel, Container>& pgn,
                             const GpsTraits& traits);
 
-
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ * \param traits a traits object.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
+ *
+ */
 template <typename ArrTraits, typename GpsTraits>
-Oriented_side oriented_side(const Point_2& p1,
-                            const General_polygon_2<ArrTraits>& p2,
+Oriented_side oriented_side(const Point_2& p,
+                            const General_polygon_2<ArrTraits>& pgn,
                             const GpsTraits& traits);
 
-
-template <typename ArrTraits, typename GpsTraits>
-Oriented_side oriented_side(const Point_2& p1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+/*! computes the relative position of a point and a polygon.
+ * \param p the input point.
+ * \param pgn the input polygon.
+ * \param traits a traits object.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Polygon, typename GpsTraits>
+Oriented_side oriented_side(const Point_2& p,
+                            const General_polygon_with_holes_2<Polygon>& pgn,
                             const GpsTraits& traits);
 
 /// @}
@@ -844,14 +1145,14 @@ namespace CGAL {
  * \anchor ref_bso_symmetric_difference
  *
  * Each one of these functions computes the symmetric difference between
- * two given polygons `p1` and `p2`, and inserts the resulting
+ * two given polygons `pgn1` and `pgn2`, and inserts the resulting
  * polygons with holes into an output container through the output
  * iterator `oi`. The value type of the `OutputIterator` is either
  * `Polygon_with_holes_2` or
  * `General_polygon_with_holes_2`.
  *
  * The signature of the function is:
- *   - `%OutputIterator symmetric_difference(const Type1& p1, const Type2& p2, %OutputIterator oi);`
+ *   - `%OutputIterator symmetric_difference(const Type1& pgn1, const Type2& pgn2, %OutputIterator oi);`
  *
  * \cgalHeading{Parameters}
  *
@@ -884,60 +1185,60 @@ namespace CGAL {
 
 /// @{
 
-OutputIterator symmetric_difference(const Type1& p1, const Type2& p2,
+OutputIterator symmetric_difference(const Type1& pgn1, const Type2& pgn2,
                                     OutputIterator oi);
 
 
 template <typename Kernel, typename Container, typename OutputIterator>
-OutputIterator symmetric_difference(const Polygon_2<Kernel, Container>& p1,
-                                    const Polygon_2<Kernel, Container>& p2,
+OutputIterator symmetric_difference(const Polygon_2<Kernel, Container>& pgn1,
+                                    const Polygon_2<Kernel, Container>& pgn2,
                                     OutputIterator oi);
 
 
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
-symmetric_difference(const Polygon_2<Kernel, Container>& p1,
-                     const Polygon_with_holes_2<Kernel, Container>& p2,
+symmetric_difference(const Polygon_2<Kernel, Container>& pgn1,
+                     const Polygon_with_holes_2<Kernel, Container>& pgn2,
                      OutputIterator oi);
 
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
-symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& p1,
-                     const Polygon_2<Kernel, Container>& p2,
+symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                     const Polygon_2<Kernel, Container>& pgn2,
                      OutputIterator oi);
 
 
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
-symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& p1,
-                     const Polygon_with_holes_2<Kernel, Container>& p2,
+symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                     const Polygon_with_holes_2<Kernel, Container>& pgn2,
                      OutputIterator oi);
 
 
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator symmetric_difference(const General_polygon_2<ArrTraits>& p1,
-                                    const General_polygon_2<ArrTraits>& p2,
+OutputIterator symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
+                                    const General_polygon_2<ArrTraits>& pgn2,
                                     OutputIterator oi);
 
 
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator
-symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p1,
-                     const General_polygon_2<ArrTraits>& p2,
+symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                     const General_polygon_2<ArrTraits>& pgn2,
                      OutputIterator oi);
 
 
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator
-symmetric_difference(const General_polygon_2<ArrTraits>& p1,
-                     const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& p2,
+symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
+                     const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
                      OutputIterator oi);
 
 
 template <typename Polygon, typename OutputIterator>
 OutputIterator
-symmetric_difference(const General_polygon_with_holes_2<Polygon>& p1,
-                     const General_polygon_with_holes_2<Polygon>& p2,
+symmetric_difference(const General_polygon_with_holes_2<Polygon>& pgn1,
+                     const General_polygon_with_holes_2<Polygon>& pgn2,
                      OutputIterator oi);
 
 /*! computes the symmetric difference of the general polygons (or general
diff --git a/Boolean_set_operations_2/include/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/include/CGAL/Boolean_set_operations_2.h
index 6d96107a443..8d854a38de4 100644
--- a/Boolean_set_operations_2/include/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/include/CGAL/Boolean_set_operations_2.h
@@ -809,7 +809,7 @@ OutputIterator complement (const Polygon_with_holes_2<Kernel, Container>& pgn,
 }
 
 template <class Arr_traits, typename OutputIterator, class Traits>
-OutputIterator complement (const General_polygon_with_holes_2<Arr_traits>& pgn,
+OutputIterator complement (const General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& pgn,
                            OutputIterator oi, Traits& tr)
 {
   General_polygon_set_2<Traits> gps(tr);

From e189cf5bde29b944064c3d27e429efeae3583fff Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Fri, 2 Oct 2020 12:52:36 +0300
Subject: [PATCH 060/317] Updated intersection()

---
 .../CGAL/Boolean_set_operations_2.h           | 491 ++++++++++++------
 1 file changed, 337 insertions(+), 154 deletions(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index fb9701bd5c7..e17668a7816 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -8,8 +8,8 @@ namespace CGAL {
  * compute the \e complement of a given polygon `pgn`. Depending on the type of
  * the polygon `pgn` the complement is either a single (general) polygon with
  * holes, or several (general) poylgons with holes. In the latter case the
- * `complement()` function template inserts the resulting poylgons with holes into
- * a container via an output iterator.
+ * `complement()` function template inserts the resulting poylgons with holes
+ * into a container via an output iterator.
  *
  * \param pgn The input polygon. Its type must be convertible to one of the
  *        types `Polygon_2`, `General_polygon_2`, `Polygon_with_holes_2`, or
@@ -37,7 +37,8 @@ void complement(const Polygon_2<Kernel, Container>& pgn,
 /*! Computes the complement of a general polygon.
  * \param pgn the input polygon.
  * \param res the complement of \p pgn.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
 void complement(const General_polygon_2<ArrTraits>& pgn,
@@ -60,7 +61,8 @@ OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
  *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
@@ -83,9 +85,9 @@ void complement(const Polygon_2<Kernel, Container>& pgn,
  * \param pgn the input polygon.
  * \param res the resulting complement of \p pgn
  * \param traits a traits object.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  */
 template <typename ArrTraits, typename GpsTraits>
 void complement(const General_polygon_2<ArrTraits>& pgn,
@@ -114,9 +116,9 @@ OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
  *             `General_polygon_with_holes_2<<General_polygon_2<ArrTraits> >`.
  * \param traits a traits object.
  * \return the past-the-end iterator of the output container.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  */
 template <typename Polygon, typename OutputIterato, typename GpsTraitsr>
 OutputIterator complement(const General_polygon_with_holes_2<Polygon>& pgn,
@@ -135,12 +137,20 @@ namespace CGAL {
  *
  * There are several overloaded function templates called `difference()` that
  * computes the \e difference between two polygons `pgn1` and `pgn2` and inserts
- * the resulting polygons with holes into a container via the output iterator `oi`.
+ * the resulting polygons with holes into a container via the output iterator
+ * `oi`.
  *
  * \param oi the output iterator for the result.
  *
- * The types `Type1` and `Type2` of the parameters must be convertible to the types specified in a row in the table below, respectively.
- * The 3rd column specifies the corresponding dereference type of the output iterator.
+ * A function template in this subgroup has one of the two following signatures:
+ *   - `OutputIterator difference(const Type1& pgn1, const Type2& pgn2,
+ *                                OutputIterator oi);`
+ *   - `OutputIterator difference(const Type1& pgn1, const Type2& pgn2,
+ *                                OutputIterator oi, const GpsTraits& traits);`
+ *
+ * The types `Type1` and `Type2` of the parameters must be convertible to the
+ * types specified in a row in the table below, respectively.  The 3rd column
+ * specifies the corresponding dereference type of the output iterator.
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
@@ -166,7 +176,7 @@ namespace CGAL {
 
 //////// Traits-less
 
-/*! computes the difference of the polygons and inserts the resulting polygon
+/*! computes the difference of two polygons and inserts the resulting polygons
  * with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -180,7 +190,7 @@ OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
                           const Polygon_2<Kernel, Container>& pgn2,
                           OutputIterator oi);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
+/*! computes the difference of two polygons and inserts the resulting polygons
  * with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -194,7 +204,7 @@ OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
                           const Polygon_with_holes_2<Kernel,Container>& pgn2,
                           OutputIterator oi);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
+/*! computes the difference of two polygons and inserts the resulting polygons
  * with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -208,7 +218,7 @@ OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                           const Polygon_2<Kernel, Container>& pgn2,
                           OutputIterator oi);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
+/*! computes the difference of two polygons and inserts the resulting polygons
  * with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -222,50 +232,56 @@ OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                           const Polygon_with_holes_2<Kernel, Container>& pgn2,
                           OutputIterator oi);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertibe to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
                           const General_polygon_2<ArrTraits>& pgn2,
                           OutputIterator oi);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertibe to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
                           const General_polygon_2<ArrTraits>& pgn2,
                           OutputIterator oi);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertibe to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
                           const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
                           OutputIterator oi);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two general polygons with holes and inserts the
+ * resulting general polygons with holes into a container via an output
+ * iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
@@ -280,7 +296,7 @@ OutputIterator difference(const General_polygon_with_holes_2<Polygon>& pgn1,
 
 //////// With Traits
 
-/*! computes the difference of the polygons and inserts the resulting polygon
+/*! computes the difference of two polygons and inserts the resulting polygons
  * with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -297,7 +313,7 @@ OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
+/*! computes the difference of two polygons and inserts the resulting polygons
  * with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -314,7 +330,7 @@ OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
+/*! computes the difference of two polygons and inserts the resulting polygons
  * with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -331,8 +347,8 @@ OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two polygons with holes and inserts the resulting
+ * polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
@@ -348,8 +364,8 @@ OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
@@ -357,6 +373,8 @@ OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \param traits a traits object.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
@@ -365,8 +383,8 @@ OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
@@ -374,6 +392,8 @@ OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \param traits a traits object.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
@@ -382,8 +402,8 @@ OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<A
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
@@ -391,6 +411,8 @@ OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<A
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \param traits a traits object.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
@@ -399,8 +421,8 @@ OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! computes the difference of the polygons and inserts the resulting polygon
- * with holes into a container via an output iterator.
+/*! computes the difference of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param oi the output iterator for the result.
@@ -438,22 +460,18 @@ namespace CGAL {
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Type1 </th><th>Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th> Type1 </th>                                     <th>Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
  * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
  * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
  * </table>
  * </div>
  *
- * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
- *
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -462,76 +480,125 @@ namespace CGAL {
 
 /// @{
 
-/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
+/*! determines whether two polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename Kernel, typename Container>
 bool do_intersect(const Polygon_2<Kernel, Container>& pgn1,
                   const Polygon_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
+/*! determines whether two polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename Kernel, typename Container>
 bool do_intersect(const Polygon_2<Kernel, Container>& pgn1,
                   const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
+/*! determines whether two polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename Kernel, typename Container>
 bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                   const Polygon_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the polygons `pgn1` and `pgn2` intersect in their interior.
+/*! determines whether two polygons with holes intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename Kernel, typename Container>
 bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                   const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
-/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
- * interior.
+/*! determines whether two general polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename ArrTraits>
 bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
                   const General_polygon_2<ArrTraits>& pgn2);
 
-/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
- * interior.
+/*! determines whether two general polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename ArrTraits>
 bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
                   const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2);
 
-/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
- * interior.
+/*! determines whether two general polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename ArrTraits>
 bool do_intersect(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
                   const General_polygon_2<ArrTraits>& pgn2);
 
-
-/*! returns `true` if the general polygons `pgn1` and `pgn2` intersect in their
+/*! determines whether two general polygons with holes intersect in their
  * interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
  */
 template <typename Polygon>
 bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
                   const General_polygon_with_holes_2<Polygon>& pgn2);
 
-/*! returns `true`, if the set of general polygons (or general polygons with
- * holes) in the given range intersect in their interior, and `false`
- * otherwise. (The value type of the input iterator is used to distinguish
- * between the two).
+/*! Given a range of polygons or a range of polygons with holes (resp. a range
+ * of general polygons or a range of general polygons with holes) determines
+ * whether the open polygons (resp. general polygons) in the range have a common
+ * point.
+ * \param begin the first iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param end the past-the-end iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \return `true` if the pairwise intersections of all open polygons or polygons
+ *         with holes (resp. general polygons or general polygons with holes) in
+ *         the range [*begin,*end) overlap, and `false` otherwise.
  */
 template <typename InputIterator>
 bool do_intersect(InputIterator begin, InputIterator end);
 
-/*! returns `true`, if the set of general polygons and general polygons with
- * holes in the given two ranges respectively intersect in their interior, and
- * `false` otherwise.
+/*! Given a range of polygons (resp. general polygons) and a range of polygons
+ * with holes (resp. general polygons with holes) determines whether the open
+ * polygons (resp. general polygons) in the two ranges have a common point.
+ * \param begin1 the first iterator of the 1st input range. It's value type is
+ *        Polygon_2 (resp. General_polygon_2).
+ * \param end1 the past-the-end iterator of the 1st input range. It's value
+ *        type is Polygon_2 (resp. General_polygon_2).
+ * \param begin2 the first iterator of the 2nd input range. It's value type
+ *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param end2 the past-the-end iterator of the 2nd input range. It's value
+ *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \return `true` if the pairwise intersections of all open polygons (resp.
+ *        general polygons) and polygons with holes (resp. general polygons with
+ *        holes) in the ranges [*begin1,*end1) and [*begin2,*end2),
+ *        respectively, overlap, and `false` otherwise.
  */
 template <typename InputIterator1, typename InputIterator2>
-bool do_intersect(InputIterator1 pgn_begin1,
-                  InputIterator1 pgn_end1,
-                  InputIterator2 pgn_begin2,
-                  InputIterator2 pgn_end2);
+bool do_intersect(InputIterator1 begin1,
+                  InputIterator1 end1,
+                  InputIterator2 begin2,
+                  InputIterator2 end2);
 /// @}
 } /* namespace CGAL */
 
@@ -559,22 +626,18 @@ namespace CGAL {
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Type1</th><th> Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>Type1</th>                                       <th>Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
  * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
  * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
  * </table>
  * </div>
  *
- * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
- *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -584,70 +647,112 @@ namespace CGAL {
 
 /// @{
 
-/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
- *  The value type of `oi` is `Polygon_with_holes_2`.
- */
-OutputIterator intersection(const Type1& pgn1, const Type2& pgn2,
-                            OutputIterator oi);
-
-/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `Polygon_with_holes_2`.
+/*! computes the intersection of two polygons and inserts the resulting polygons
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator intersection(const Polygon_2<Kernel, Container>& pgn1,
                             const Polygon_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `Polygon_with_holes_2`.
+/*! computes the intersection of two polygons and inserts the resulting polygons
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator intersection(const Polygon_2<Kernel, Container>& pgn1,
                             const Polygon_with_holes_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `Polygon_with_holes_2`.
+/*! computes the intersection of two polygons and inserts the resulting polygons
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                             const Polygon_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! computes the intersection of the polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `Polygon_with_holes_2`.
+/*! computes the intersection of two polygons and inserts the resulting polygons
+ * with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                             const Polygon_with_holes_2<Kernel, Container>& pgn2,
                             OutputIterator oi);
 
-/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the intersection of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator intersection(const General_polygon_2<ArrTraits>& pgn1,
                             const General_polygon_2<ArrTraits>& pgn2,
                             OutputIterator oi);
 
-/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the intersection of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator intersection(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
                             const General_polygon_2<ArrTraits>& pgn2,
                             OutputIterator oi);
 
-/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the intersection of two general polygons and inserts the resulting
+ * general polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator intersection(const General_polygon_2<ArrTraits>& pgn1,
                             const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
                             OutputIterator oi);
 
-/*! computes the intersection of the general polygons `pgn1` and `pgn2` into the output iterator `oi`.
- * The value type of `oi` is `General_polygon_with_holes_2`.
+/*! computes the intersection of two general polygons with holes and inserts the
+ * resulting general polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<Polygon>`.
+ * \return the past-the-end iterator of the output container.
  */
 template <typename Polygon, typename OutputIterator>
 OutputIterator intersection(const General_polygon_with_holes_2<Polygon>& pgn1,
@@ -655,29 +760,50 @@ OutputIterator intersection(const General_polygon_with_holes_2<Polygon>& pgn1,
                             OutputIterator oi);
 
 
-/*! computes the intersection of the general polygons (or general polygons with
- * holes) in the given range. (The value type of the input iterator is used to
- * distinguish between the two.) The result, represented by a set of general
- * polygon with holes, is written into the output iterator `oi`.  The output
- * iterator is returned. The value type of the `OutputIterator` is
- * `Traits::Polygon_with_holes_2`.
+/*! Given a range of polygons (resp. general polygons) or a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * intersection of all polygons in the range and inserts the resulting polygons
+ * with holes (resp. general polygons with holes) into a container via an output
+ * iterator.
+ * \param begin the first iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param end the past-the-end iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \return the past-the-end iterator of the output container.
  */
 template <typename InputIterator, typename OutputIterator>
 OutputIterator intersection(InputIterator begin, InputIterator end,
                             OutputIterator oi);
 
-/*! computes the intersection of the general polygons and general polygons with
- * holes in the given two ranges. The result, represented by a set of general
- * polygon with holes, is written into the output iterator `oi`.  The output
- * iterator is returned. The value type of the `OutputIterator` is
- * `Traits::Polygon_with_holes_2`.
+/*! Given a range of polygons (resp. general polygons) and a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * intersection of all polygons in the two ranges and inserts the resulting
+ * polygons with holes (resp. general polygons with holes) into a container via
+ * an output iterator.
+ * \param begin1 the first iterator of the 1st input range. It's value type is
+ *        Polygon_2 (resp. General_polygon_2).
+ * \param end1 the past-the-end iterator of the 1st input range. It's value
+ *        type is Polygon_2 (resp. General_polygon_2).
+ * \param begin2 the first iterator of the 2nd input range. It's value type
+ *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param end2 the past-the-end iterator of the 2nd input range. It's value
+ *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \return the past-the-end iterator of the output container.
  */
 template <typename InputIterator1, typename InputIterator2,
 typename OutputIterator>
-OutputIterator intersection(InputIterator1 pgn_begin1,
-                            InputIterator1 pgn_end1,
-                            InputIterator2 pgn_begin2,
-                            InputIterator2 pgn_end2,
+OutputIterator intersection(InputIterator1 begin1,
+                            InputIterator1 end1,
+                            InputIterator2 begin2,
+                            InputIterator2 end2,
                             OutputIterator oi);
 
 /// @}
@@ -703,22 +829,18 @@ namespace CGAL {
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Type1</th><th> Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th> Type1</th>                                      <th>Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
  * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
  * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
  * </table>
  * </div>
  *
- * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
- *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -849,15 +971,15 @@ namespace CGAL {
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th>Type1</th>                                       <th>Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>Type1</th>                                         <th>Type2</th></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_2`</td></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_with_holes_2`</td></tr>
  * </table>
  * </div>
  *
@@ -1004,7 +1126,6 @@ Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  * \param traits a traits object.
  * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  *
  */
 template <typename ArrTraits, typename GpsTraits>
@@ -1018,7 +1139,6 @@ Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
  * \param traits a traits object.
  * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  *
  */
 template <typename ArrTraits, typename GpsTraits>
@@ -1032,7 +1152,6 @@ Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
  * \param traits a traits object.
  * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
  *
  */
 template <typename ArrTraits, typename GpsTraits>
@@ -1116,8 +1235,6 @@ Oriented_side oriented_side(const Point_2& p,
  * \param traits a traits object.
  * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
- *
  */
 template <typename ArrTraits, typename GpsTraits>
 Oriented_side oriented_side(const Point_2& p,
@@ -1172,35 +1289,52 @@ namespace CGAL {
  * </table>
  * </div>
  *
- * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
- * \pre A model of `GpsTraits` must derive from a type that is convertible to a model of `%ArrTraits`.
- *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
- *
  */
 
 /// @{
 
-OutputIterator symmetric_difference(const Type1& pgn1, const Type2& pgn2,
-                                    OutputIterator oi);
-
-
+/*! computes the symmetric difference between two polygons and inserts the
+ * resulting polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator symmetric_difference(const Polygon_2<Kernel, Container>& pgn1,
                                     const Polygon_2<Kernel, Container>& pgn2,
                                     OutputIterator oi);
 
-
+/*! computes the symmetric difference between two polygons and inserts the
+ * resulting polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
 symmetric_difference(const Polygon_2<Kernel, Container>& pgn1,
                      const Polygon_with_holes_2<Kernel, Container>& pgn2,
                      OutputIterator oi);
 
+/*! computes the symmetric difference between two polygons and inserts the
+ * resulting polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
 symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
@@ -1208,19 +1342,48 @@ symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                      OutputIterator oi);
 
 
+/*! computes the symmetric difference between two polygons with holes and
+ * inserts the resulting polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator
 symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                      const Polygon_with_holes_2<Kernel, Container>& pgn2,
                      OutputIterator oi);
 
-
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
                                     const General_polygon_2<ArrTraits>& pgn2,
                                     OutputIterator oi);
 
 
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator
 symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
@@ -1228,6 +1391,16 @@ symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<ArrTra
                      OutputIterator oi);
 
 
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator
 symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
@@ -1235,6 +1408,16 @@ symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
                      OutputIterator oi);
 
 
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<Polygon>`.
+ * \return the past-the-end iterator of the output container.
+ */
 template <typename Polygon, typename OutputIterator>
 OutputIterator
 symmetric_difference(const General_polygon_with_holes_2<Polygon>& pgn1,

From 2b7f65e8a08ea051accda4f003dbf207cd97bd7a Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Fri, 2 Oct 2020 15:10:05 +0300
Subject: [PATCH 061/317] Finished

---
 .../CGAL/Boolean_set_operations_2.h           | 1067 ++++++++++++++---
 1 file changed, 884 insertions(+), 183 deletions(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index e17668a7816..d4e89bc8905 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -11,6 +11,8 @@ namespace CGAL {
  * `complement()` function template inserts the resulting poylgons with holes
  * into a container via an output iterator.
  *
+ * \cgalHeading{Parameters}
+ *
  * \param pgn The input polygon. Its type must be convertible to one of the
  *        types `Polygon_2`, `General_polygon_2`, `Polygon_with_holes_2`, or
  *        `General_polygon_with_holes_2`.
@@ -24,7 +26,7 @@ namespace CGAL {
 
 /// @{
 
-// Traits-less
+//////// Traits-less
 
 /*! Computes the complement of a polygon.
  * \param pgn the input polygon.
@@ -41,8 +43,9 @@ void complement(const Polygon_2<Kernel, Container>& pgn,
  *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
-void complement(const General_polygon_2<ArrTraits>& pgn,
-                General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res);
+void
+complement(const General_polygon_2<ArrTraits>& pgn,
+           General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res);
 
 /*! Computes the complement of a polygon with holes.
  * \param pgn the input polygon.
@@ -65,10 +68,11 @@ OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
  *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
-                          OutputIterator oi);
+OutputIterator
+complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn,
+           OutputIterator oi);
 
-// With Traits
+//////// With Traits
 
 /*! Computes the complement of a polygon.
  * \param pgn the input polygon.
@@ -90,9 +94,10 @@ void complement(const Polygon_2<Kernel, Container>& pgn,
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
  */
 template <typename ArrTraits, typename GpsTraits>
-void complement(const General_polygon_2<ArrTraits>& pgn,
-                General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res,
-                const GpsTraits& traits);
+void
+complement(const General_polygon_2<ArrTraits>& pgn,
+           General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res,
+           const GpsTraits& traits);
 
 /*! Computes the complement of a polygon with holes.
  * \param pgn the input polygon.
@@ -136,18 +141,19 @@ namespace CGAL {
  * \anchor ref_bso_difference
  *
  * There are several overloaded function templates called `difference()` that
- * computes the \e difference between two polygons `pgn1` and `pgn2` and inserts
- * the resulting polygons with holes into a container via the output iterator
- * `oi`.
+ * compute the \e difference between two polygons and insert the resulting
+ * polygons with holes into a container via an output iterator.
  *
- * \param oi the output iterator for the result.
- *
- * A function template in this subgroup has one of the two following signatures:
+ * A function template in this group has one of the two following signatures:
  *   - `OutputIterator difference(const Type1& pgn1, const Type2& pgn2,
  *                                OutputIterator oi);`
  *   - `OutputIterator difference(const Type1& pgn1, const Type2& pgn2,
  *                                OutputIterator oi, const GpsTraits& traits);`
  *
+ * \cgalHeading{Parameters}
+ *
+ * \param oi the output iterator for the result.
+ *
  * The types `Type1` and `Type2` of the parameters must be convertible to the
  * types specified in a row in the table below, respectively.  The 3rd column
  * specifies the corresponding dereference type of the output iterator.
@@ -166,6 +172,7 @@ namespace CGAL {
  * </table>
  * </div>
  *
+ * \sa \link boolean_complement `CGAL::complement()` \endlink
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
@@ -259,9 +266,10 @@ OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
  *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
-                          const General_polygon_2<ArrTraits>& pgn2,
-                          OutputIterator oi);
+OutputIterator
+difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+           const General_polygon_2<ArrTraits>& pgn2,
+           OutputIterator oi);
 
 /*! computes the difference of two polygons and inserts the resulting
  * general polygons with holes into a container via an output iterator.
@@ -275,9 +283,10 @@ OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<A
  *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
-                          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
-                          OutputIterator oi);
+OutputIterator
+difference(const General_polygon_2<ArrTraits>& pgn1,
+           const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+           OutputIterator oi);
 
 /*! computes the difference of two general polygons with holes and inserts the
  * resulting general polygons with holes into a container via an output
@@ -307,7 +316,8 @@ OutputIterator difference(const General_polygon_with_holes_2<Polygon>& pgn1,
  * \return the past-the-end iterator of the output container.
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
-  template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
 OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
                           const Polygon_2<Kernel, Container>& pgn2,
                           OutputIterator oi,
@@ -324,7 +334,8 @@ OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
  * \return the past-the-end iterator of the output container.
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
-template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
 OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
                           const Polygon_with_holes_2<Kernel,Container>& pgn2,
                           OutputIterator oi,
@@ -341,7 +352,8 @@ OutputIterator difference(const Polygon_2<Kernel, Container>& pgn1,
  * \return the past-the-end iterator of the output container.
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
-template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
 OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                           const Polygon_2<Kernel, Container>& pgn2,
                           OutputIterator oi,
@@ -358,7 +370,8 @@ OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  * \return the past-the-end iterator of the output container.
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
-template <typename Kernel, typename Container, typename OutputIterator, typename GpsTraits>
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
 OutputIterator difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
                           const Polygon_with_holes_2<Kernel, Container>& pgn2,
                           OutputIterator oi,
@@ -397,10 +410,11 @@ OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
-OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
-                          const General_polygon_2<ArrTraits>& pgn2,
-                          OutputIterator oi,
-                          const GpsTraits& traits);
+OutputIterator
+difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+           const General_polygon_2<ArrTraits>& pgn2,
+           OutputIterator oi,
+           const GpsTraits& traits);
 
 /*! computes the difference of two general polygons and inserts the resulting
  * general polygons with holes into a container via an output iterator.
@@ -416,10 +430,11 @@ OutputIterator difference(const General_polygon_with_holes_2<General_polygon_2<A
  * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
-OutputIterator difference(const General_polygon_2<ArrTraits>& pgn1,
-                          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
-                          OutputIterator oi,
-                          const GpsTraits& traits);
+OutputIterator
+difference(const General_polygon_2<ArrTraits>& pgn1,
+           const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+           OutputIterator oi,
+           const GpsTraits& traits);
 
 /*! computes the difference of two general polygons and inserts the resulting
  * general polygons with holes into a container via an output iterator.
@@ -447,16 +462,19 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_do_intersect
  *
- * Each one of these functions computes if the interior of two given
- * polygons `pgn1` and `pgn2` intersect.
+ * There are several overloaded function templates called `do_intersect()`
+ * that determine whether the interior of two or more polygons intersect.
  *
- * The signature of the function is:
+ * A function template in this group that accepts two input polygons has one of
+ * the two following signatures:
  *   - `bool do_intersect(const Type1& pgn1, const Type2& pgn2);`
+ *   - `bool do_intersect(const Type1& pgn1, const Type2& pgn2,
+                          const GpsTraits& traits);`
  *
  * \cgalHeading{Parameters}
  *
- * The types of the parameters of the \link ref_bso_do_intersect
- * `do_intersect()` \endlink function are any of the following combinations.
+ * The types `Type1` and `Type2` of the parameters must be convertible to the
+ * types specified in a row in the table below, respectively.
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
@@ -472,6 +490,7 @@ namespace CGAL {
  * </table>
  * </div>
  *
+ * \sa \link boolean_complement `CGAL::complement()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -480,6 +499,8 @@ namespace CGAL {
 
 /// @{
 
+//////// Traits-less
+
 /*! determines whether two polygons intersect in their interior.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
@@ -525,6 +546,8 @@ bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  * \param pgn2 the 2nd input polygon.
  * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
  *         otherwise.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
 bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
@@ -535,16 +558,21 @@ bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
  * \param pgn2 the 2nd input polygon.
  * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
  *         otherwise.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
-bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
-                  const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2);
+bool
+do_intersect(const General_polygon_2<ArrTraits>& pgn1,
+             const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2);
 
 /*! determines whether two general polygons intersect in their interior.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
  *         otherwise.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
 bool do_intersect(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
@@ -599,6 +627,166 @@ bool do_intersect(InputIterator1 begin1,
                   InputIterator1 end1,
                   InputIterator2 begin2,
                   InputIterator2 end2);
+
+//////// With Traits
+
+/*! determines whether two polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool do_intersect(const Polygon_2<Kernel, Container>& pgn1,
+                  const Polygon_2<Kernel, Container>& pgn2,
+                  const GpsTraits& traits);
+
+/*! determines whether two polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool do_intersect(const Polygon_2<Kernel, Container>& pgn1,
+                  const Polygon_with_holes_2<Kernel, Container>& pgn2,
+                  const GpsTraits& traits,
+                  const GpsTraits& traits);
+
+/*! determines whether two polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                  const Polygon_2<Kernel, Container>& pgn2,
+                  const GpsTraits& traits);
+
+/*! determines whether two polygons with holes intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool do_intersect(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                  const Polygon_with_holes_2<Kernel, Container>& pgn2,
+                  const GpsTraits& traits);
+
+/*! determines whether two general polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ */
+template <typename ArrTraits, typename GpsTraits>
+bool do_intersect(const General_polygon_2<ArrTraits>& pgn1,
+                  const General_polygon_2<ArrTraits>& pgn2,
+                  const GpsTraits& traits);
+
+/*! determines whether two general polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ */
+template <typename ArrTraits, typename GpsTraits>
+bool
+do_intersect(const General_polygon_2<ArrTraits>& pgn1,
+             const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+             const GpsTraits& traits);
+
+/*! determines whether two general polygons intersect in their interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ */
+template <typename ArrTraits, typename GpsTraits>
+bool
+do_intersect(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+             const General_polygon_2<ArrTraits>& pgn2,
+             const GpsTraits& traits);
+
+/*! determines whether two general polygons with holes intersect in their
+ * interior.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param traits a traits object.
+ * \return `true` if `pgn1` and `pgn2` intersect in their interiro and `false`
+ *         otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Polygon, typename GpsTraits>
+bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
+                  const General_polygon_with_holes_2<Polygon>& pgn2,
+                  const GpsTraits& traits);
+
+/*! Given a range of polygons or a range of polygons with holes (resp. a range
+ * of general polygons or a range of general polygons with holes) determines
+ * whether the open polygons (resp. general polygons) in the range have a common
+ * point.
+ * \param begin the first iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param end the past-the-end iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param traits a traits object.
+ * \return `true` if the pairwise intersections of all open polygons or polygons
+ *         with holes (resp. general polygons or general polygons with holes) in
+ *         the range [*begin,*end) overlap, and `false` otherwise.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename InputIterator, typename GpsTraits>
+bool do_intersect(InputIterator begin, InputIterator end,
+                  const GpsTraits& traits);
+
+/*! Given a range of polygons (resp. general polygons) and a range of polygons
+ * with holes (resp. general polygons with holes) determines whether the open
+ * polygons (resp. general polygons) in the two ranges have a common point.
+ * \param begin1 the first iterator of the 1st input range. It's value type is
+ *        Polygon_2 (resp. General_polygon_2).
+ * \param end1 the past-the-end iterator of the 1st input range. It's value
+ *        type is Polygon_2 (resp. General_polygon_2).
+ * \param begin2 the first iterator of the 2nd input range. It's value type
+ *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param end2 the past-the-end iterator of the 2nd input range. It's value
+ *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param traits a traits object.
+ * \return `true` if the pairwise intersections of all open polygons (resp.
+ *        general polygons) and polygons with holes (resp. general polygons with
+ *        holes) in the ranges [*begin1,*end1) and [*begin2,*end2),
+ *        respectively, overlap, and `false` otherwise.
+ */
+template <typename InputIterator1, typename InputIterator2, typename GpsTraits>
+bool do_intersect(InputIterator1 begin1, InputIterator1 end1,
+                  InputIterator2 begin2, InputIterator2 end2,
+                  const GpsTraits& traits);
+
 /// @}
 } /* namespace CGAL */
 
@@ -608,41 +796,44 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_intersection
  *
- * Each one of these functions computes the intersection of two given
- * polygons `pgn1` and `pgn2`, inserts the resulting polygons with
- * holes into an output container through a given output iterator
- * `oi`, and returns the output iterator. The value type of the
- * `OutputIterator` is either `Polygon_with_holes_2` or
- * `General_polygon_with_holes_2`.
+ * There are several overloaded function templates called `intersection()` that
+ * compute the \e intersection of two or more polygons and insert the resulting
+ * polygons with holes into a container via an output iterator.
  *
- * The signature of the function is:
- *   - `%OutputIterator %intersection(const Type1& pgn1, const Type2& pgn2,
- *                                    %OutputIterator oi);`
+ * A function template in this group that accepts two input polygons has one of
+ * the two following signatures:
+ *   - `OutputIterator %intersection(const Type1& pgn1, const Type2& pgn2,
+ *                                   OutputIterator oi);`
+ *   - `OutputIterator %intersection(const Type1& pgn1, const Type2& pgn2,
+ *                                   OutputIterator oi, const GpsTraits& traits);`
  *
  * \cgalHeading{Parameters}
  *
- * The types of the parameters of the `intersection()` function are any of the
- * following combinations.
+ * \param oi the output iterator for the result.
+ *
+ * The types `Type1` and `Type2` of the parameters must be convertible to the
+ * types specified in a row in the table below, respectively.  The 3rd column
+ * specifies the corresponding dereference type of the output iterator.
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th>Type1</th>                                       <th>Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>`Type1`</th>                                       <th>`Type2`</th>                                       <th>%Dereference Type of `oi`</th></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
  * </table>
  * </div>
  *
+ * \sa \link boolean_complement `CGAL::complement()` \endlink
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
  * \sa \link boolean_symmetric_difference `CGAL::symmetric_difference()` \endlink
- *
  */
 
 /// @{
@@ -711,6 +902,8 @@ OutputIterator intersection(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator intersection(const General_polygon_2<ArrTraits>& pgn1,
@@ -725,11 +918,14 @@ OutputIterator intersection(const General_polygon_2<ArrTraits>& pgn1,
  *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator intersection(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
-                            const General_polygon_2<ArrTraits>& pgn2,
-                            OutputIterator oi);
+OutputIterator
+intersection(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+             const General_polygon_2<ArrTraits>& pgn2,
+             OutputIterator oi);
 
 /*! computes the intersection of two general polygons and inserts the resulting
  * general polygons with holes into a container via an output iterator.
@@ -739,11 +935,14 @@ OutputIterator intersection(const General_polygon_with_holes_2<General_polygon_2
  *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
-OutputIterator intersection(const General_polygon_2<ArrTraits>& pgn1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
-                            OutputIterator oi);
+OutputIterator
+intersection(const General_polygon_2<ArrTraits>& pgn1,
+             const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+             OutputIterator oi);
 
 /*! computes the intersection of two general polygons with holes and inserts the
  * resulting general polygons with holes into a container via an output iterator.
@@ -816,31 +1015,34 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_union
  *
- * Each one of these functions computes the union of two given polygons `pgn1` and
- * `pgn2`. If the two given polygons overlap, it returns `true`, and places the
- * resulting polygon in `p`. Otherwise, it returns `false`.
+ * There are several overloaded function templates called `join()` that
+ * compute the \e union of two polygons.
  *
- * The signature of the function is:
- *   - `bool join(const Type1& pgn1, const Type2& pgn2, General_polygon_with_holes_2& res);`
+ * A function template in this group has one of the two following signatures:
+ *   - `bool join(const Type1& pgn1, const Type2& pgn2, Type3& res);`
+ *   - `bool join(const Type1& pgn1, const Type2& pgn2, Type3& res,
+ *                const GpsTraits& traits);`
  *
  * \cgalHeading{Parameters}
  *
- * The types of the parameters of the `join()` function are any of the following combinations.
+ * The types `Type1`, `Type2`, and `Type3, of the parameters must be convertible
+ * to the types specified in a row in the table below, respectively.
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Type1</th>                                      <th>Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>`Type1`</th>                                       <th>`Type2`</th>                                       <th>`Type3`</th></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
  * </table>
  * </div>
  *
+ * \sa \link boolean_complement `CGAL::complement()` \endlink
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_difference `CGAL::difference()` \endlink
@@ -849,8 +1051,13 @@ namespace CGAL {
 
 /// @{
 
-/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- *  Returns `true` if the two given polygons overlap.
+//////// Traits-less
+
+/*! computes the union of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
  */
 template <typename Kernel, typename Container>
 bool join(const Polygon_2<Kernel, Container>& pgn1,
@@ -858,8 +1065,11 @@ bool join(const Polygon_2<Kernel, Container>& pgn1,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- * Returns `true` if the two given polygons overlap.
+/*! computes the union of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
  */
 template <typename Kernel, typename Container>
 bool join(const Polygon_2<Kernel, Container>& pgn1,
@@ -867,8 +1077,11 @@ bool join(const Polygon_2<Kernel, Container>& pgn1,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- * Returns `true` if the two given polygons overlap.
+/*! computes the union of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
  */
 template <typename Kernel, typename Container>
 bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
@@ -876,8 +1089,11 @@ bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- * Returns `true` if the two given polygons overlap.
+/*! computes the union of two polygons with holes.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
  */
 template <typename Kernel, typename Container>
 bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
@@ -885,8 +1101,13 @@ bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
           General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res);
 
 
-/*! computes the union of the general polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- * Returns `true` if the two given polygons overlap.
+/*! computes the union of two general polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
 bool join(const General_polygon_2<ArrTraits>& pgn1,
@@ -894,54 +1115,268 @@ bool join(const General_polygon_2<ArrTraits>& pgn1,
           General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*! computes the union of the polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- * Returns `true` if the two given polygons overlap.
+/*! computes the union of two general polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
-bool join(const General_polygon_2<ArrTraits>& pgn1,
-          const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
-          General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
+bool
+join(const General_polygon_2<ArrTraits>& pgn1,
+     const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+     General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*! computes the union of the general polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- * Returns `true` if the two given polygons overlap.
+/*! computes the union of two general polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
-bool join(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
-          const General_polygon_2<ArrTraits>& pgn1,
-          General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
+bool
+join(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+     const General_polygon_2<ArrTraits>& pgn1,
+     General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res);
 
 
-/*! computes the union of the general polygons `pgn1` and `pgn2` into the polygon with holes `res`.
- * Returns `true` if the two given polygons overlap.
+/*! computes the union of two general polygons with holes.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \return `true` if the two input polygons overlap.
  */
 template <typename Polygon>
 bool join(const General_polygon_with_holes_2<Polygon>& pgn1,
           const General_polygon_with_holes_2<Polygon>& pgn2,
-          Traits::Polygon_with_holes_2& res);
+          General_polygon_with_holes_2<Polygon>& res);
 
-/*! computes the union of the general polygons (or general polygons with holes)
- * in the given range. (The value type of the input iterator is used to
- * distinguish between the two.) The result, represented by a set of general
- * polygon with holes, is written into the output iterator `oi`.  The output
- * iterator is returned. The value type of the `OutputIterator` is
- * `Traits::Polygon_with_holes_2`.
+/*! Given a range of polygons (resp. general polygons) or a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * union of all polygons in the range and inserts the resulting polygons
+ * with holes (resp. general polygons with holes) into a container via an output
+ * iterator.
+ * \param begin the first iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param end the past-the-end iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \return the past-the-end iterator of the output container.
  */
 template <typename InputIterator, typename OutputIterator>
 OutputIterator join(InputIterator begin, InputIterator end,
                     OutputIterator oi);
 
-/*! computes the union of the general polygons and general polygons with holes
- * in the given two ranges. The result, represented by a set of general polygon
- * with holes, is written into the output iterator `oi`.  The output iterator is
- * returned. The value type of the `OutputIterator` is
- * `Traits::Polygon_with_holes_2`.
+/*! Given a range of polygons (resp. general polygons) and a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * union of all polygons in the two ranges and inserts the resulting
+ * polygons with holes (resp. general polygons with holes) into a container via
+ * an output iterator.
+ * \param begin1 the first iterator of the 1st input range. It's value type is
+ *        Polygon_2 (resp. General_polygon_2).
+ * \param end1 the past-the-end iterator of the 1st input range. It's value
+ *        type is Polygon_2 (resp. General_polygon_2).
+ * \param begin2 the first iterator of the 2nd input range. It's value type
+ *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param end2 the past-the-end iterator of the 2nd input range. It's value
+ *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \return the past-the-end iterator of the output container.
  */
-template <typename InputIterator1, typename InputIterator2, typename OutputIterator>
-OutputIterator join(InputIterator1 pgn_begin1, InputIterator1 pgn_end1,
-                    InputIterator2 pgn_begin2, InputIterator2 pgn_end2,
+template <typename InputIterator1, typename InputIterator2,
+          typename OutputIterator>
+OutputIterator join(InputIterator1 begin1, InputIterator1 end1,
+                    InputIterator2 begin2, InputIterator2 end2,
                     OutputIterator oi);
 
+//////// With Traits
+
+/*! computes the union of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool join(const Polygon_2<Kernel, Container>& pgn1,
+          const Polygon_2<Kernel, Container>& pgn2,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res,
+          const GpsTraits& traits);
+
+
+/*! computes the union of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool join(const Polygon_2<Kernel, Container>& pgn1,
+          const Polygon_with_holes_2<Kernel,Container>& pgn2,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res,
+          const GpsTraits& traits);
+
+
+/*! computes the union of two polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
+          const Polygon_2<Kernel, Container>& pgn1,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res,
+          const GpsTraits& traits);
+
+
+/*! computes the union of two polygons with holes.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename GpsTraits>
+bool join(const Polygon_with_holes_2<Kernel, Container>& pgn2,
+          const Polygon_with_holes_2<Kernel, Container>& pgn1,
+          General_polygon_with_holes_2<Polygon_2<Kernel, Container> >& res,
+          const GpsTraits& traits);
+
+
+/*! computes the union of two general polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename GpsTraits>
+bool join(const General_polygon_2<ArrTraits>& pgn1,
+          const General_polygon_2<ArrTraits>& pgn2,
+          General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res,
+          const GpsTraits& traits);
+
+
+/*! computes the union of two general polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename GpsTraits>
+bool
+join(const General_polygon_2<ArrTraits>& pgn1,
+     const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+     General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res,
+     const GpsTraits& traits);
+
+
+/*! computes the union of two general polygons.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename GpsTraits>
+bool join(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+          const General_polygon_2<ArrTraits>& pgn1,
+          General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& res,
+          const GpsTraits& traits);
+
+
+/*! computes the union of two general polygons with holes.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param res the resulting union of \p pgn1 and \p pgn2.
+ * \param traits a traits object.
+ * \return `true` if the two input polygons overlap.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename Polygon, typename GpsTraits>
+bool join(const General_polygon_with_holes_2<Polygon>& pgn1,
+          const General_polygon_with_holes_2<Polygon>& pgn2,
+          General_polygon_with_holes_2<Polygon>& res,
+          const GpsTraits& traits);
+
+/*! Given a range of polygons (resp. general polygons) or a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * union of all polygons in the range and inserts the resulting polygons
+ * with holes (resp. general polygons with holes) into a container via an output
+ * iterator.
+ * \param begin the first iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param end the past-the-end iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename InputIterator, typename OutputIterator, typename GpsTraits>
+OutputIterator join(InputIterator begin, InputIterator end,
+                    OutputIterator oi,
+                    const GpsTraits& traits);
+
+/*! Given a range of polygons (resp. general polygons) and a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * union of all polygons in the two ranges and inserts the resulting
+ * polygons with holes (resp. general polygons with holes) into a container via
+ * an output iterator.
+ * \param begin1 the first iterator of the 1st input range. It's value type is
+ *        Polygon_2 (resp. General_polygon_2).
+ * \param end1 the past-the-end iterator of the 1st input range. It's value
+ *        type is Polygon_2 (resp. General_polygon_2).
+ * \param begin2 the first iterator of the 2nd input range. It's value type
+ *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param end2 the past-the-end iterator of the 2nd input range. It's value
+ *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
+ */
+template <typename InputIterator1, typename InputIterator2, typename OutputIterator, typename GpsTraits>
+OutputIterator join(InputIterator1 begin1, InputIterator1 end1,
+                    InputIterator2 begin2, InputIterator2 end2,
+                    OutputIterator oi,
+                    const GpsTraits& traits);
+
 /// @}
 } /* namespace CGAL */
 
@@ -951,7 +1386,7 @@ namespace CGAL {
  * \anchor ref_bso_oriented_side
  *
  * There are several overloaded function templatess called `Oriented_side()`
- * that computes the relative position of either (i) two polygons or (ii) a
+ * that compute the relative position of either (i) two polygons or (ii) a
  * point and a polygon. This group of function templates is divided into two
  * subgroups.
  *
@@ -1020,8 +1455,9 @@ Oriented_side oriented_side(const Polygon_2<Kernel, Container>& pgn1,
  * \param pgn2 the 2nd input polygon.
  */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Polygon_2<Kernel, Container>& pgn1,
-                            const Polygon_with_holes_2<Kernel, Container>& pgn2);
+Oriented_side
+oriented_side(const Polygon_2<Kernel, Container>& pgn1,
+              const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
 /*! computes the relative position of two polygons.
  * \param pgn1 the 1st input polygon.
@@ -1036,13 +1472,15 @@ Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  * \param pgn2 the 2nd input polygon.
  */
 template <typename Kernel, typename Container>
-Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
-                            const Polygon_with_holes_2<Kernel, Container>& pgn2);
+Oriented_side
+oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+              const Polygon_with_holes_2<Kernel, Container>& pgn2);
 
 /*! computes the relative position of two polygons.
  * \param pgn1 1st the input polygon.
  * \param pgn2 the 2nd input polygon.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
 Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
@@ -1051,20 +1489,24 @@ Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
 /*! computes the relative position of two polygons.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
-Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2);
+Oriented_side
+oriented_side(const General_polygon_2<ArrTraits>& pgn1,
+              const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2);
 
 /*! computes the relative position of two polygons.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
-Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
-                            const General_polygon_2<ArrTraits>& pgn2);
+Oriented_side
+oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+              const General_polygon_2<ArrTraits>& pgn2);
 
 /*! computes the relative position of two polygons.
  * \param pgn1 the 1st input polygon.
@@ -1074,7 +1516,7 @@ template <typename Polygon>
 Oriented_side oriented_side(const General_polygon_with_holes_2<Polygon>& pgn1,
                             const General_polygon_with_holes_2<Polygon>& pgn2);
 
-// Polygon--Polygon With Traits
+//////// Polygon--Polygon With Traits
 
 /*! computes the relative position of two polygons.
  * \param pgn1 the 1st input polygon.
@@ -1124,7 +1566,8 @@ Oriented_side oriented_side(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param traits a traits object.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
  *
  */
@@ -1137,27 +1580,31 @@ Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param traits a traits object.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
  *
  */
 template <typename ArrTraits, typename GpsTraits>
-Oriented_side oriented_side(const General_polygon_2<ArrTraits>& pgn1,
-                            const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
-                            const GpsTraits& traits);
+Oriented_side
+oriented_side(const General_polygon_2<ArrTraits>& pgn1,
+              const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+              const GpsTraits& traits);
 
 /*! computes the relative position of two polygons.
  * \param pgn1 the 1st input polygon.
  * \param pgn2 the 2nd input polygon.
  * \param traits a traits object.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
  *
  */
 template <typename ArrTraits, typename GpsTraits>
-Oriented_side oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
-                            const General_polygon_2<ArrTraits>& pgn2,
-                            const GpsTraits& traits);
+Oriented_side
+oriented_side(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+              const General_polygon_2<ArrTraits>& pgn2,
+              const GpsTraits& traits);
 
 /*! computes the relative position of two polygons.
  * \param pgn1 the 1st input polygon.
@@ -1191,7 +1638,8 @@ Oriented_side oriented_side(const Point_2& p,
 /*! computes the relative position of a point and a polygon.
  * \param p the input point.
  * \param pgn the input polygon.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits>
 Oriented_side oriented_side(const Point_2& p,
@@ -1205,7 +1653,7 @@ template <typename Polygon>
 Oriented_side oriented_side(const Point_2& p,
                             const General_polygon_with_holes_2<Polygon>& pgn);
 
-// Point--Polygon With Traits
+//////// Point--Polygon With Traits
 
 /*! computes the relative position of a point and a polygon.
  * \param p the input point.
@@ -1233,7 +1681,8 @@ Oriented_side oriented_side(const Point_2& p,
  * \param p the input point.
  * \param pgn the input polygon.
  * \param traits a traits object.
- * \pre `%ArrTraits` must be a model of the concept `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  * \pre `GpsTraits` must be a model of the concept `GeneralPolygonSetTraits_2`.
  */
 template <typename ArrTraits, typename GpsTraits>
@@ -1261,34 +1710,46 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_symmetric_difference
  *
- * Each one of these functions computes the symmetric difference between
- * two given polygons `pgn1` and `pgn2`, and inserts the resulting
- * polygons with holes into an output container through the output
- * iterator `oi`. The value type of the `OutputIterator` is either
- * `Polygon_with_holes_2` or
- * `General_polygon_with_holes_2`.
+ * There are several overloaded function templates called
+ * `symmetric_difference()` that compute the \e symmetric difference
+ * between two or more input polygons and insert the resulting
+ * polygons with holes into a container via an output iterator.
+
  *
- * The signature of the function is:
- *   - `%OutputIterator symmetric_difference(const Type1& pgn1, const Type2& pgn2, %OutputIterator oi);`
+ * A function template in this group that accepts two input polygons has one of
+ * the two following signatures:
+ *   - `OutputIterator symmetric_difference(const Type1& pgn1, const Type2& pgn2,
+ *                                          OutputIterator oi);`
+ *   - `OutputIterator symmetric_difference(const Type1& pgn1, const Type2& pgn2,
+ *                                          OutputIterator oi, const GpsTraits& traits);`
  *
  * \cgalHeading{Parameters}
  *
- * The types of the parameters of the `symmetric_difference()` function are any of the following combinations.
+ * The types `Type1` and `Type2` of the parameters must be convertible to the
+ * types specified in a row in the table below, respectively.  The 3rd column
+ * specifies the corresponding dereference type of the output iterator.
+ *
+ * \param oi the output iterator for the result.
+ *
+ * The types `Type1` and `Type2` of the parameters must be convertible to the
+ * types specified in a row in the table below, respectively.  The 3rd column
+ * specifies the corresponding dereference type of the output iterator.
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Arg 1 type</th><th>Arg 2 type</th></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td><td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>`Type1`</th>                                       <th>`Type2`</th>                                       <th>%Dereference Type of `oi`</th></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_2`</td>                   <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_with_holes_2`</td>        <td>`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_2`</td>           <td>`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_with_holes_2`</td><td>`General_polygon_with_holes_2`</td></tr>
  * </table>
  * </div>
  *
+ * \sa \link boolean_complement `CGAL::complement()` \endlink
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
  * \sa \link boolean_join `CGAL::join()` \endlink
@@ -1297,6 +1758,8 @@ namespace CGAL {
 
 /// @{
 
+//////// Traits-less
+
 /*! computes the symmetric difference between two polygons and inserts the
  * resulting polygons with holes into a container via an output iterator.
  * \param pgn1 the 1st input polygon.
@@ -1367,6 +1830,8 @@ symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
  *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
@@ -1383,6 +1848,8 @@ OutputIterator symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
  *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator
@@ -1400,6 +1867,8 @@ symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<ArrTra
  *           Its dereference type must be convertible to
  *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
  * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
  */
 template <typename ArrTraits, typename OutputIterator>
 OutputIterator
@@ -1407,7 +1876,6 @@ symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
                      const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
                      OutputIterator oi);
 
-
 /*! computes the symmetric difference between two general polygons and inserts
  * the resulting general  polygons with holes into a container via an output
  * iterator.
@@ -1424,33 +1892,266 @@ symmetric_difference(const General_polygon_with_holes_2<Polygon>& pgn1,
                      const General_polygon_with_holes_2<Polygon>& pgn2,
                      OutputIterator oi);
 
-/*! computes the symmetric difference of the general polygons (or general
- * polygons with holes) in the given range. A point is contained in the
- * symmetric difference, if and only if it is contained in an odd number of
- * input polygons. (The value type of the input iterator is used to distinguish
- * between the two.) The result, represented by a set of general polygon with
- * holes, is inserted into an output container through a given output iterator
- * `oi`. The output iterator is returned. The value type of the `OutputIterator`
- * is `Traits::Polygon_with_holes_2`.
+/*! Given a range of polygons (resp. general polygons) or a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * symmetric difference  of all polygons in the range and inserts the resulting
+ * polygons with holes (resp. general polygons with holes) into a container via
+ * an output iterator. A point is contained in the symmetric difference, if and
+ * only if it is contained in an odd number of input polygons.
+ * \param begin the first iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param end the past-the-end iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \return the past-the-end iterator of the output container.
  */
 template <typename InputIterator, typename OutputIterator>
 OutputIterator symmetric_difference(InputIterator begin, InputIterator end,
                                     OutputIterator oi);
 
-/*! computes the symmetric difference of the general polygons and general
- * polygons with holes in the given two ranges. A point is contained in the
- * symmetric difference, if and only if it is contained in an odd number of
- * input polygons. The result, represented by a set of general polygon with
- * holes, is inserted into an output container through a given output iterator
- * `oi`. The output iterator is returned. The value type of the `OutputIterator`
- * is `Traits::Polygon_with_holes_2`.
+/*! Given a range of polygons (resp. general polygons) and a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * intersection of all polygons in the two ranges and inserts the resulting
+ * polygons with holes (resp. general polygons with holes) into a container via
+ * an output iterator. A point is contained in the symmetric difference, if and
+ * only if it is contained in an odd number of input polygons.
+ * \param begin1 the first iterator of the 1st input range. It's value type is
+ *        Polygon_2 (resp. General_polygon_2).
+ * \param end1 the past-the-end iterator of the 1st input range. It's value
+ *        type is Polygon_2 (resp. General_polygon_2).
+ * \param begin2 the first iterator of the 2nd input range. It's value type
+ *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param end2 the past-the-end iterator of the 2nd input range. It's value
+ *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \return the past-the-end iterator of the output container.
  */
-template <typename InputIterator1, typename InputIterator2, typename OutputIterator>
-OutputIterator symmetric_difference(InputIterator1 pgn_begin1,
-                                    InputIterator1 pgn_end1,
-                                    InputIterator2 pgn_begin2,
-                                    InputIterator2 pgn_end2,
+template <typename InputIterator1, typename InputIterator2,
+          typename OutputIterator>
+OutputIterator symmetric_difference(InputIterator1 begin1, InputIterator1 end1,
+                                    InputIterator2 begin2, InputIterator2 end2,
                                     OutputIterator oi);
+
+//////// With Traits
+
+/*! computes the symmetric difference between two polygons and inserts the
+ * resulting polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
+OutputIterator symmetric_difference(const Polygon_2<Kernel, Container>& pgn1,
+                                    const Polygon_2<Kernel, Container>& pgn2,
+                                    OutputIterator oi,
+                                    const GpsTraits& traits);
+
+/*! computes the symmetric difference between two polygons and inserts the
+ * resulting polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
+OutputIterator
+symmetric_difference(const Polygon_2<Kernel, Container>& pgn1,
+                     const Polygon_with_holes_2<Kernel, Container>& pgn2,
+                     OutputIterator oi,
+                     const GpsTraits& traits);
+
+/*! computes the symmetric difference between two polygons and inserts the
+ * resulting polygons with holes into a container via an output iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
+OutputIterator
+symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                     const Polygon_2<Kernel, Container>& pgn2,
+                     OutputIterator oi,
+                     const GpsTraits& traits);
+
+
+/*! computes the symmetric difference between two polygons with holes and
+ * inserts the resulting polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2<Kernel, Container>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Kernel, typename Container, typename OutputIterator,
+          typename GpsTraits>
+OutputIterator
+symmetric_difference(const Polygon_with_holes_2<Kernel, Container>& pgn1,
+                     const Polygon_with_holes_2<Kernel, Container>& pgn2,
+                     OutputIterator oi,
+                     const GpsTraits& traits);
+
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+OutputIterator symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
+                                    const General_polygon_2<ArrTraits>& pgn2,
+                                    OutputIterator oi,
+                                    const GpsTraits& traits);
+
+
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+OutputIterator
+symmetric_difference(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn1,
+                     const General_polygon_2<ArrTraits>& pgn2,
+                     OutputIterator oi,
+                     const GpsTraits& traits);
+
+
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<General_polygon_2<ArrTraits> >`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre `%ArrTraits` must be a model of the concept
+ *      `ArrangementDirectionalXMonotoneTraits_2`.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename ArrTraits, typename OutputIterator, typename GpsTraits>
+OutputIterator
+symmetric_difference(const General_polygon_2<ArrTraits>& pgn1,
+                     const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pgn2,
+                     OutputIterator oi,
+                     const GpsTraits& traits);
+
+/*! computes the symmetric difference between two general polygons and inserts
+ * the resulting general  polygons with holes into a container via an output
+ * iterator.
+ * \param pgn1 the 1st input polygon.
+ * \param pgn2 the 2nd input polygon.
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `General_polygon_with_holes_2<Polygon>`.
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename Polygon, typename OutputIterator, typename GpsTraits>
+OutputIterator
+symmetric_difference(const General_polygon_with_holes_2<Polygon>& pgn1,
+                     const General_polygon_with_holes_2<Polygon>& pgn2,
+                     OutputIterator oi,
+                     const GpsTraits& traits);
+
+/*! Given a range of polygons (resp. general polygons) or a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * symmetric difference  of all polygons in the range and inserts the resulting
+ * polygons with holes (resp. general polygons with holes) into a container via
+ * an output iterator. A point is contained in the symmetric difference, if and
+ * only if it is contained in an odd number of input polygons.
+ * \param begin the first iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param end the past-the-end iterator of the input range. It's value type is
+ *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename InputIterator, typename OutputIterator, typename GpsTraits>
+OutputIterator symmetric_difference(InputIterator begin, InputIterator end,
+                                    OutputIterator oi,
+                                    const GpsTraits& traits);
+
+/*! Given a range of polygons (resp. general polygons) and a range of general
+ * polygons with holes (resp. general polygons with holes) computes the
+ * intersection of all polygons in the two ranges and inserts the resulting
+ * polygons with holes (resp. general polygons with holes) into a container via
+ * an output iterator. A point is contained in the symmetric difference, if and
+ * only if it is contained in an odd number of input polygons.
+ * \param begin1 the first iterator of the 1st input range. It's value type is
+ *        Polygon_2 (resp. General_polygon_2).
+ * \param end1 the past-the-end iterator of the 1st input range. It's value
+ *        type is Polygon_2 (resp. General_polygon_2).
+ * \param begin2 the first iterator of the 2nd input range. It's value type
+ *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param end2 the past-the-end iterator of the 2nd input range. It's value
+ *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param oi the output iterator for the result.
+ *           Its dereference type must be convertible to
+ *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
+ * \param traits a traits object.
+ * \return the past-the-end iterator of the output container.
+ * \pre GpsTraits must be a model of `GeneralPolygonSetTraits_2`.
+ */
+template <typename InputIterator1, typename InputIterator2,
+          typename OutputIterator, typename GpsTraits>
+OutputIterator symmetric_difference(InputIterator1 begin1, InputIterator1 end1,
+                                    InputIterator2 begin2, InputIterator2 end2,
+                                    OutputIterator oi,
+                                    const GpsTraits& traits);
+
 /// @}
 
 } /* namespace CGAL */

From ee62fa60ed0b60ee2ea2c47a0546d7db8f631ef5 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Sat, 3 Oct 2020 10:21:13 +0300
Subject: [PATCH 062/317] Improved documentation of the
 Boolean_set_operations_2 free functions

---
 Installation/CHANGES.md | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/Installation/CHANGES.md b/Installation/CHANGES.md
index 310be97819a..83437243efc 100644
--- a/Installation/CHANGES.md
+++ b/Installation/CHANGES.md
@@ -28,6 +28,8 @@ Release date: December 2020
     and [`Construct_power_sphere_d`](https://doc.cgal.org/5.2/Kernel_d/classCGAL_1_1Epeck__d_1_1Construct__power__sphere__d.html),
     to deal with weighted points.
 
+### 2D Regularized Boolean Set Operations
+-   Added documentation for the free functions `oriented_side(const Point_2& p, ....)` that accept a point and a polygon, and improved the documentation of all other functions
 
 [Release 5.1](https://github.com/CGAL/cgal/releases/tag/v5.1)
 -----------

From 8c33fbbec319882e4c019eb1912dd8cad05d9e9f Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Sat, 3 Oct 2020 10:55:47 +0300
Subject: [PATCH 063/317] Last fixes

---
 .../CGAL/Boolean_set_operations_2.h           | 39 ++++++++++++-------
 1 file changed, 24 insertions(+), 15 deletions(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index d4e89bc8905..53c940af212 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -11,11 +11,24 @@ namespace CGAL {
  * `complement()` function template inserts the resulting poylgons with holes
  * into a container via an output iterator.
  *
+ * A function template in this group has one of the two following signatures:
+ *   - `void complement(const Type1& pgn, Type2& res);`
+ *   - `void complement(const Type1& pgn, Type2& res, const GpsTraits& traits);`
+ *
  * \cgalHeading{Parameters}
  *
- * \param pgn The input polygon. Its type must be convertible to one of the
- *        types `Polygon_2`, `General_polygon_2`, `Polygon_with_holes_2`, or
- *        `General_polygon_with_holes_2`.
+ * The types `Type` and `Type2` of the parameters must be convertible to the
+ * types specified in a row in the table below, respectively.
+ *
+ * <div align="left">
+ * <table cellpadding=3 border="1">
+ * <tr><th> Type1 </th>                                     <th>Type2</th></tr>
+ * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * </table>
+ * </div>
  *
  * \sa \link boolean_do_intersect `CGAL::do_intersect()` \endlink
  * \sa \link boolean_intersection `CGAL::intersection()` \endlink
@@ -150,8 +163,6 @@ namespace CGAL {
  *   - `OutputIterator difference(const Type1& pgn1, const Type2& pgn2,
  *                                OutputIterator oi, const GpsTraits& traits);`
  *
- * \cgalHeading{Parameters}
- *
  * \param oi the output iterator for the result.
  *
  * The types `Type1` and `Type2` of the parameters must be convertible to the
@@ -807,8 +818,6 @@ namespace CGAL {
  *   - `OutputIterator %intersection(const Type1& pgn1, const Type2& pgn2,
  *                                   OutputIterator oi, const GpsTraits& traits);`
  *
- * \cgalHeading{Parameters}
- *
  * \param oi the output iterator for the result.
  *
  * The types `Type1` and `Type2` of the parameters must be convertible to the
@@ -1400,7 +1409,10 @@ namespace CGAL {
  *
  * A function template in this subgroup has one of the two following signatures:
  *   - `Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2);`
- *   - `Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2, const GpsTraits& traits);`
+ *   - `Oriented_side oriented_side(const Type1& pgn1, const Type2& pgn2,
+ *                                  const GpsTraits& traits);`
+ *
+ * \cgalHeading{Parameters}
  *
  * The types `Type1` and `Type2` of the parameters must be convertible to the types specified in a row in the following table, respectively.
  *
@@ -1427,7 +1439,10 @@ namespace CGAL {
  *
  * A function in this subgroup has one of the two following signatures:
  *   - `Oriented_side oriented_side(const Point_2& p, const Type& pgn);`
- *   - `Oriented_side oriented_side(const Point_2& p, const Type& pgn, const GpsTraits& traits);`
+ *   - `Oriented_side oriented_side(const Point_2& p, const Type& pgn,
+ *                                  const GpsTraits& traits);`
+ *
+ * \cgalHeading{Parameters}
  *
  * `Type` must be convertible to one of
  *   `Polygon_2`,
@@ -1723,12 +1738,6 @@ namespace CGAL {
  *   - `OutputIterator symmetric_difference(const Type1& pgn1, const Type2& pgn2,
  *                                          OutputIterator oi, const GpsTraits& traits);`
  *
- * \cgalHeading{Parameters}
- *
- * The types `Type1` and `Type2` of the parameters must be convertible to the
- * types specified in a row in the table below, respectively.  The 3rd column
- * specifies the corresponding dereference type of the output iterator.
- *
  * \param oi the output iterator for the result.
  *
  * The types `Type1` and `Type2` of the parameters must be convertible to the

From 9b0b296cbe6ab11576e9081d05657df2fc9360b4 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:14:44 +0300
Subject: [PATCH 064/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 53c940af212..8a1fd4b6946 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -41,7 +41,7 @@ namespace CGAL {
 
 //////// Traits-less
 
-/*! Computes the complement of a polygon.
+/*! computes the complement of a polygon.
  * \param pgn the input polygon.
  * \param res the resulting complement of \p pgn.
  */

From 06ebe35eb2368fd542ec03172069d084c4f7a879 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:14:56 +0300
Subject: [PATCH 065/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 8a1fd4b6946..2d7290c3044 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -60,7 +60,7 @@ void
 complement(const General_polygon_2<ArrTraits>& pgn,
            General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res);
 
-/*! Computes the complement of a polygon with holes.
+/*! computes the complement of a polygon with holes.
  * \param pgn the input polygon.
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to

From 4b621e1de592ef92d3cacc1ac12c70115d1b5a59 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:15:07 +0300
Subject: [PATCH 066/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 2d7290c3044..ca4ccd240f6 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -49,7 +49,7 @@ template <typename Kernel, typename Container>
 void complement(const Polygon_2<Kernel, Container>& pgn,
                 Polygon_with_holes_2<Kernel, Container>& res);
 
-/*! Computes the complement of a general polygon.
+/*! computes the complement of a general polygon.
  * \param pgn the input polygon.
  * \param res the complement of \p pgn.
  * \pre `%ArrTraits` must be a model of the concept

From 03220ee24a6a88abb2cfbad13ffac8dfb28a11ed Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:15:17 +0300
Subject: [PATCH 067/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index ca4ccd240f6..871ae06600d 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -71,7 +71,7 @@ template <typename Kernel, typename Container, typename OutputIterator>
 OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
                           OutputIterator oi);
 
-/*! Computes the complement of a general polygon with holes.
+/*! computes the complement of a general polygon with holes.
  * \param pgn the input polygon.
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to

From 0de8a77326c1d6cc6a1d15c85952123b8201a790 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:16:21 +0300
Subject: [PATCH 068/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 871ae06600d..4815a7024ff 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -87,7 +87,7 @@ complement(const General_polygon_with_holes_2<General_polygon_2<ArrTraits> >& pg
 
 //////// With Traits
 
-/*! Computes the complement of a polygon.
+/*! computes the complement of a polygon.
  * \param pgn the input polygon.
  * \param res the resulting complement of \p pgn
  * \param traits a traits object.

From 9215fb64c08333f4924eadf3803d3cdaaf62674a Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:16:35 +0300
Subject: [PATCH 069/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 4815a7024ff..48f7365b81f 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -98,7 +98,7 @@ void complement(const Polygon_2<Kernel, Container>& pgn,
                 Polygon_with_holes_2<Kernel, Container>& res,
                 const GpsTraits& traits);
 
-/*! Computes the complement of a general polygon.
+/*! computes the complement of a general polygon.
  * \param pgn the input polygon.
  * \param res the resulting complement of \p pgn
  * \param traits a traits object.

From 7cad2dd83b162905b1d0ef9f5d9990d076bfe9ce Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:17:04 +0300
Subject: [PATCH 070/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 48f7365b81f..42015be12c8 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -605,7 +605,7 @@ bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
  * whether the open polygons (resp. general polygons) in the range have a common
  * point.
  * \param begin the first iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes`
  *        (resp. General_polygon_with_holes_2).
  * \param end the past-the-end iterator of the input range. It's value type is
  *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes

From 15999c1d87a9720949a7dfddd230ff69b4b75701 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:17:33 +0300
Subject: [PATCH 071/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 42015be12c8..67ff6db56ed 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -606,7 +606,7 @@ bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
  * point.
  * \param begin the first iterator of the input range. It's value type is
  *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes`
- *        (resp. General_polygon_with_holes_2).
+ *        (resp. `General_polygon_with_holes_2`).
  * \param end the past-the-end iterator of the input range. It's value type is
  *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
  *        (resp. General_polygon_with_holes_2).

From 5cbf5ff39bf7bf96ca14d1c0d410f080fb171989 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:17:54 +0300
Subject: [PATCH 072/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 67ff6db56ed..757ab17ac9d 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -127,7 +127,7 @@ OutputIterator complement(const Polygon_with_holes_2<Kernel, Container>& pgn,
                           OutputIterator oi,
                           const GpsTraits& traits);
 
-/*! Computes the complement of the general polygon with holes.
+/*! computes the complement of the general polygon with holes.
  * \param pgn the input polygon.
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to

From 37cc60b4217aaf8276aaf7743e1406ac40161d3b Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:18:08 +0300
Subject: [PATCH 073/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 757ab17ac9d..b7fa36f317f 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -112,7 +112,7 @@ complement(const General_polygon_2<ArrTraits>& pgn,
            General_polygon_with_holes_2<General_polygon_2<Arr_traits> >& res,
            const GpsTraits& traits);
 
-/*! Computes the complement of a polygon with holes.
+/*! computes the complement of a polygon with holes.
  * \param pgn the input polygon.
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to

From 3a48f47a9810d2b897468900dc26a528bf7a0575 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:18:34 +0300
Subject: [PATCH 074/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index b7fa36f317f..b6e28b9d9dc 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -608,7 +608,7 @@ bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
  *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes`
  *        (resp. `General_polygon_with_holes_2`).
  * \param end the past-the-end iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes`
  *        (resp. General_polygon_with_holes_2).
  * \return `true` if the pairwise intersections of all open polygons or polygons
  *         with holes (resp. general polygons or general polygons with holes) in

From f81c9c2d0058f14dc9673224ae3d24ff5b0c3098 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:18:55 +0300
Subject: [PATCH 075/317] Update
 Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index b6e28b9d9dc..157e7e89b32 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -609,7 +609,7 @@ bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
  *        (resp. `General_polygon_with_holes_2`).
  * \param end the past-the-end iterator of the input range. It's value type is
  *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes`
- *        (resp. General_polygon_with_holes_2).
+ *        (resp. `General_polygon_with_holes_2`).
  * \return `true` if the pairwise intersections of all open polygons or polygons
  *         with holes (resp. general polygons or general polygons with holes) in
  *         the range [*begin,*end) overlap, and `false` otherwise.

From 29063b4d3497e097b84f0aec5d305665918fe672 Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:39:24 +0300
Subject: [PATCH 076/317] Added missing links and fixed syntax

---
 .../CGAL/Boolean_set_operations_2.h           | 220 +++++++++---------
 1 file changed, 110 insertions(+), 110 deletions(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index 157e7e89b32..c7a110accb9 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -22,11 +22,11 @@ namespace CGAL {
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Type1 </th>                                     <th>Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>`Type1`</th>                                       <th>`Type2`</th></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_with_holes_2`</td></tr>
  * </table>
  * </div>
  *
@@ -489,15 +489,15 @@ namespace CGAL {
  *
  * <div align="left">
  * <table cellpadding=3 border="1">
- * <tr><th> Type1 </th>                                     <th>Type2</th></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_2</td>                   <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_2</td></tr>
- * <tr><td valign="center">Polygon_with_holes_2</td>        <td valign="center">Polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_2</td>           <td valign="center">General_polygon_with_holes_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_2</td></tr>
- * <tr><td valign="center">General_polygon_with_holes_2</td><td valign="center">General_polygon_with_holes_2</td></tr>
+ * <tr><th>`Type1`</th>                                       <th>`Type2`</th></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_2`</td></tr>
+ * <tr><td valign="center">`Polygon_2`</td>                   <td valign="center">`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_2`</td></tr>
+ * <tr><td valign="center">`Polygon_with_holes_2`</td>        <td valign="center">`Polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_2`</td>           <td valign="center">`General_polygon_with_holes_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_2`</td></tr>
+ * <tr><td valign="center">`General_polygon_with_holes_2`</td><td valign="center">`General_polygon_with_holes_2`</td></tr>
  * </table>
  * </div>
  *
@@ -604,11 +604,11 @@ bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
  * of general polygons or a range of general polygons with holes) determines
  * whether the open polygons (resp. general polygons) in the range have a common
  * point.
- * \param begin the first iterator of the input range. It's value type is
- *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes`
+ * \param begin the first iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
  *        (resp. `General_polygon_with_holes_2`).
- * \param end the past-the-end iterator of the input range. It's value type is
- *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes`
+ * \param end the past-the-end iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
  *        (resp. `General_polygon_with_holes_2`).
  * \return `true` if the pairwise intersections of all open polygons or polygons
  *         with holes (resp. general polygons or general polygons with holes) in
@@ -620,14 +620,14 @@ bool do_intersect(InputIterator begin, InputIterator end);
 /*! Given a range of polygons (resp. general polygons) and a range of polygons
  * with holes (resp. general polygons with holes) determines whether the open
  * polygons (resp. general polygons) in the two ranges have a common point.
- * \param begin1 the first iterator of the 1st input range. It's value type is
- *        Polygon_2 (resp. General_polygon_2).
- * \param end1 the past-the-end iterator of the 1st input range. It's value
- *        type is Polygon_2 (resp. General_polygon_2).
- * \param begin2 the first iterator of the 2nd input range. It's value type
- *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
- * \param end2 the past-the-end iterator of the 2nd input range. It's value
- *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param begin1 the first iterator of the 1st input range. Its value type is
+ *        `Polygon_2` (resp. `General_polygon_2`).
+ * \param end1 the past-the-end iterator of the 1st input range. Its value
+ *        type is `Polygon_2` (resp. `General_polygon_2`).
+ * \param begin2 the first iterator of the 2nd input range. Its value type
+ *        is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
+ * \param end2 the past-the-end iterator of the 2nd input range. Its value
+ *        type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
  * \return `true` if the pairwise intersections of all open polygons (resp.
  *        general polygons) and polygons with holes (resp. general polygons with
  *        holes) in the ranges [*begin1,*end1) and [*begin2,*end2),
@@ -760,12 +760,12 @@ bool do_intersect(const General_polygon_with_holes_2<Polygon>& pgn1,
  * of general polygons or a range of general polygons with holes) determines
  * whether the open polygons (resp. general polygons) in the range have a common
  * point.
- * \param begin the first iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
- * \param end the past-the-end iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
+ * \param begin the first iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
+ * \param end the past-the-end iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
  * \param traits a traits object.
  * \return `true` if the pairwise intersections of all open polygons or polygons
  *         with holes (resp. general polygons or general polygons with holes) in
@@ -779,14 +779,14 @@ bool do_intersect(InputIterator begin, InputIterator end,
 /*! Given a range of polygons (resp. general polygons) and a range of polygons
  * with holes (resp. general polygons with holes) determines whether the open
  * polygons (resp. general polygons) in the two ranges have a common point.
- * \param begin1 the first iterator of the 1st input range. It's value type is
- *        Polygon_2 (resp. General_polygon_2).
- * \param end1 the past-the-end iterator of the 1st input range. It's value
- *        type is Polygon_2 (resp. General_polygon_2).
- * \param begin2 the first iterator of the 2nd input range. It's value type
- *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
- * \param end2 the past-the-end iterator of the 2nd input range. It's value
- *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param begin1 the first iterator of the 1st input range. Its value type is
+ *        `Polygon_2` (resp. `General_polygon_2`).
+ * \param end1 the past-the-end iterator of the 1st input range. Its value
+ *        type is `Polygon_2` (resp. `General_polygon_2`).
+ * \param begin2 the first iterator of the 2nd input range. Its value type
+ *        is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
+ * \param end2 the past-the-end iterator of the 2nd input range. Its value
+ *        type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
  * \param traits a traits object.
  * \return `true` if the pairwise intersections of all open polygons (resp.
  *        general polygons) and polygons with holes (resp. general polygons with
@@ -973,12 +973,12 @@ OutputIterator intersection(const General_polygon_with_holes_2<Polygon>& pgn1,
  * intersection of all polygons in the range and inserts the resulting polygons
  * with holes (resp. general polygons with holes) into a container via an output
  * iterator.
- * \param begin the first iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
- * \param end the past-the-end iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
+ * \param begin the first iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
+ * \param end the past-the-end iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -993,14 +993,14 @@ OutputIterator intersection(InputIterator begin, InputIterator end,
  * intersection of all polygons in the two ranges and inserts the resulting
  * polygons with holes (resp. general polygons with holes) into a container via
  * an output iterator.
- * \param begin1 the first iterator of the 1st input range. It's value type is
- *        Polygon_2 (resp. General_polygon_2).
- * \param end1 the past-the-end iterator of the 1st input range. It's value
- *        type is Polygon_2 (resp. General_polygon_2).
- * \param begin2 the first iterator of the 2nd input range. It's value type
- *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
- * \param end2 the past-the-end iterator of the 2nd input range. It's value
- *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param begin1 the first iterator of the 1st input range. Its value type is
+ *        `Polygon_2` (resp. `General_polygon_2`).
+ * \param end1 the past-the-end iterator of the 1st input range. Its value
+ *        type is `Polygon_2` (resp. `General_polygon_2`).
+ * \param begin2 the first iterator of the 2nd input range. Its value type
+ *        is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
+ * \param end2 the past-the-end iterator of the 2nd input range. Its value
+ *        type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -1170,12 +1170,12 @@ bool join(const General_polygon_with_holes_2<Polygon>& pgn1,
  * union of all polygons in the range and inserts the resulting polygons
  * with holes (resp. general polygons with holes) into a container via an output
  * iterator.
- * \param begin the first iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
- * \param end the past-the-end iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
+ * \param begin the first iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
+ * \param end the past-the-end iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -1190,14 +1190,14 @@ OutputIterator join(InputIterator begin, InputIterator end,
  * union of all polygons in the two ranges and inserts the resulting
  * polygons with holes (resp. general polygons with holes) into a container via
  * an output iterator.
- * \param begin1 the first iterator of the 1st input range. It's value type is
- *        Polygon_2 (resp. General_polygon_2).
- * \param end1 the past-the-end iterator of the 1st input range. It's value
- *        type is Polygon_2 (resp. General_polygon_2).
- * \param begin2 the first iterator of the 2nd input range. It's value type
- *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
- * \param end2 the past-the-end iterator of the 2nd input range. It's value
- *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param begin1 the first iterator of the 1st input range. Its value type is
+ *        `Polygon_2` (resp. `General_polygon_2`).
+ * \param end1 the past-the-end iterator of the 1st input range. Its value
+ *        type is `Polygon_2` (resp. `General_polygon_2`).
+ * \param begin2 the first iterator of the 2nd input range. Its value type
+ *        is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
+ * \param end2 the past-the-end iterator of the 2nd input range. Its value
+ *        type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -1342,12 +1342,12 @@ bool join(const General_polygon_with_holes_2<Polygon>& pgn1,
  * union of all polygons in the range and inserts the resulting polygons
  * with holes (resp. general polygons with holes) into a container via an output
  * iterator.
- * \param begin the first iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
- * \param end the past-the-end iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
+ * \param begin the first iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
+ * \param end the past-the-end iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -1365,14 +1365,14 @@ OutputIterator join(InputIterator begin, InputIterator end,
  * union of all polygons in the two ranges and inserts the resulting
  * polygons with holes (resp. general polygons with holes) into a container via
  * an output iterator.
- * \param begin1 the first iterator of the 1st input range. It's value type is
- *        Polygon_2 (resp. General_polygon_2).
- * \param end1 the past-the-end iterator of the 1st input range. It's value
- *        type is Polygon_2 (resp. General_polygon_2).
- * \param begin2 the first iterator of the 2nd input range. It's value type
- *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
- * \param end2 the past-the-end iterator of the 2nd input range. It's value
- *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param begin1 the first iterator of the 1st input range. Its value type is
+ *        `Polygon_2` (resp. `General_polygon_2`).
+ * \param end1 the past-the-end iterator of the 1st input range. Its value
+ *        type is `Polygon_2` (resp. `General_polygon_2`).
+ * \param begin2 the first iterator of the 2nd input range. Its value type
+ *        is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
+ * \param end2 the past-the-end iterator of the 2nd input range. Its value
+ *        type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -1907,12 +1907,12 @@ symmetric_difference(const General_polygon_with_holes_2<Polygon>& pgn1,
  * polygons with holes (resp. general polygons with holes) into a container via
  * an output iterator. A point is contained in the symmetric difference, if and
  * only if it is contained in an odd number of input polygons.
- * \param begin the first iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
- * \param end the past-the-end iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
+ * \param begin the first iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
+ * \param end the past-the-end iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -1928,14 +1928,14 @@ OutputIterator symmetric_difference(InputIterator begin, InputIterator end,
  * polygons with holes (resp. general polygons with holes) into a container via
  * an output iterator. A point is contained in the symmetric difference, if and
  * only if it is contained in an odd number of input polygons.
- * \param begin1 the first iterator of the 1st input range. It's value type is
- *        Polygon_2 (resp. General_polygon_2).
- * \param end1 the past-the-end iterator of the 1st input range. It's value
- *        type is Polygon_2 (resp. General_polygon_2).
- * \param begin2 the first iterator of the 2nd input range. It's value type
- *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
- * \param end2 the past-the-end iterator of the 2nd input range. It's value
- *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param begin1 the first iterator of the 1st input range. Its value type is
+ *        `Polygon_2` (resp. `General_polygon_2`).
+ * \param end1 the past-the-end iterator of the 1st input range. Its value
+ *        type is `Polygon_2` (resp. `General_polygon_2`).
+ * \param begin2 the first iterator of the 2nd input range. Its value type
+ *        is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
+ * \param end2 the past-the-end iterator of the 2nd input range. Its value
+ *        type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -2115,12 +2115,12 @@ symmetric_difference(const General_polygon_with_holes_2<Polygon>& pgn1,
  * polygons with holes (resp. general polygons with holes) into a container via
  * an output iterator. A point is contained in the symmetric difference, if and
  * only if it is contained in an odd number of input polygons.
- * \param begin the first iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
- * \param end the past-the-end iterator of the input range. It's value type is
- *        either Polygon_2 (resp. General_polygon_2) or Polygon_with_holes
- *        (resp. General_polygon_with_holes_2).
+ * \param begin the first iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
+ * \param end the past-the-end iterator of the input range. Its value type is
+ *        either `Polygon_2` (resp. `General_polygon_2`) or `Polygon_with_holes_2`
+ *        (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).
@@ -2139,14 +2139,14 @@ OutputIterator symmetric_difference(InputIterator begin, InputIterator end,
  * polygons with holes (resp. general polygons with holes) into a container via
  * an output iterator. A point is contained in the symmetric difference, if and
  * only if it is contained in an odd number of input polygons.
- * \param begin1 the first iterator of the 1st input range. It's value type is
- *        Polygon_2 (resp. General_polygon_2).
- * \param end1 the past-the-end iterator of the 1st input range. It's value
- *        type is Polygon_2 (resp. General_polygon_2).
- * \param begin2 the first iterator of the 2nd input range. It's value type
- *        is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
- * \param end2 the past-the-end iterator of the 2nd input range. It's value
- *        type is Polygon_with_holes_2 (resp. General_polygon_with_holes_2).
+ * \param begin1 the first iterator of the 1st input range. Its value type is
+ *        `Polygon_2` (resp. `General_polygon_2`).
+ * \param end1 the past-the-end iterator of the 1st input range. Its value
+ *        type is `Polygon_2` (resp. `General_polygon_2`).
+ * \param begin2 the first iterator of the 2nd input range. Its value type
+ *        is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
+ * \param end2 the past-the-end iterator of the 2nd input range. Its value
+ *        type is `Polygon_with_holes_2` (resp. `General_polygon_with_holes_2`).
  * \param oi the output iterator for the result.
  *           Its dereference type must be convertible to
  *             `Polygon_with_holes_2` (resp. `General_polygons_with_holes_2`).

From 7db7a24a90599ba8d8b92218678f6de34b54225f Mon Sep 17 00:00:00 2001
From: Efi Fogel <efifogel@gmail.com>
Date: Mon, 5 Oct 2020 15:48:04 +0300
Subject: [PATCH 077/317] Fixed typo

---
 .../Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h    | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
index c7a110accb9..31eb450f116 100644
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/CGAL/Boolean_set_operations_2.h
@@ -1394,7 +1394,7 @@ namespace CGAL {
  * \ingroup PkgBooleanSetOperations2Ref
  * \anchor ref_bso_oriented_side
  *
- * There are several overloaded function templatess called `Oriented_side()`
+ * There are several overloaded function templates called `Oriented_side()`
  * that compute the relative position of either (i) two polygons or (ii) a
  * point and a polygon. This group of function templates is divided into two
  * subgroups.

From 8f090ae8126cdd4b774512e541765da8737bd0fa Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Wed, 7 Oct 2020 10:47:51 +0200
Subject: [PATCH 078/317] fixed conversion warnings and added missing named
 parameters

---
 .../PackageDescription.txt                    |  1 -
 .../Hole_filling/Triangulate_hole_polyline.h  |  8 ++--
 .../triangulate_hole.h                        | 43 +++++++++++++++++--
 3 files changed, 44 insertions(+), 8 deletions(-)

diff --git a/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt b/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt
index c54a5f6bfb7..2717405f1bc 100644
--- a/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt
+++ b/Polygon_mesh_processing/doc/Polygon_mesh_processing/PackageDescription.txt
@@ -114,7 +114,6 @@ and provides a list of the parameters that are used in this package.
 - `CGAL::Polygon_mesh_processing::triangulate_and_refine_hole()`
 - `CGAL::Polygon_mesh_processing::triangulate_refine_and_fair_hole()`
 - `CGAL::Polygon_mesh_processing::triangulate_hole_polyline()`
-- `CGAL::Polygon_mesh_processing::triangulate_hole_with_cdt_2()`
 
 \cgalCRPSection{Predicate Functions}
 - `CGAL::Polygon_mesh_processing::does_self_intersect()`
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index d73b5d44b5e..9fc38043985 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1410,7 +1410,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     }
 
     fh->info() = true;
-    for (std::size_t i = 0; i < 3; ++i) {
+    for (int i = 0; i < 3; ++i) {
       if (!cdt.is_constrained(typename CDT::Edge(fh, i))) {
         face_queue.push(fh->neighbor(i));
       }
@@ -1426,8 +1426,8 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
     end = cdt.finite_faces_end(); fit != end; ++fit) {
     if (!fit->info()) { // if it is not external
 
-      std::vector<std::size_t> is(3);
-      for (std::size_t i = 0; i < 3; ++i) {
+      std::vector<int> is(3);
+      for (int i = 0; i < 3; ++i) {
         is[i] = fit->vertex(i)->info();
       }
 
@@ -1441,7 +1441,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
 
   // Call the tracer. It correctly orients the patch faces.
   // std::cout << "CDT is being used!" << std::endl;
-  tracer(lambda, 0, size - 1);
+  tracer(lambda, 0, static_cast<int>(size) - 1);
   return true;
 }
 
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 7f9dab5fb5a..75d817c4e63 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -42,9 +42,10 @@ namespace Polygon_mesh_processing {
   /*!
   \ingroup hole_filling_grp
   triangulates a hole in a polygon mesh.
-  The hole must not contain any non-manifold vertex, nor self-intersections.
-  When using the 2D constrained Delaunay triangulation, the non-manifold vertex is
-  not an issue. The patch generated does not introduce non-manifold edges nor degenerate triangles.
+  When using the 2D constrained Delaunay triangulation, the hole must not contain any
+  self-intersections. However, this option can be applied only for near planar holes.
+  In other cases, the hole must not contain any non-manifold vertex as well.
+  The patch generated does not introduce non-manifold edges nor degenerate triangles.
   If a hole cannot be triangulated, `pmesh` is not modified and nothing is recorded in `out`.
 
   @tparam PolygonMesh a model of `MutableFaceGraph`
@@ -81,6 +82,15 @@ namespace Polygon_mesh_processing {
       \cgalParamExtra{If no valid triangulation can be found in this search space, the algorithm
                       falls back to the non-Delaunay triangulations search space to find a solution.}
     \cgalParamNEnd
+
+    \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.
+                      This parameter is a good choice for near planar holes.}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   @return `out`
@@ -198,6 +208,15 @@ namespace Polygon_mesh_processing {
                       falls back to the non-Delaunay triangulations search space to find a solution.}
     \cgalParamNEnd
 
+    \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.
+                      This parameter is a good choice for near planar holes.}
+    \cgalParamNEnd
+
     \cgalParamNBegin{density_control_factor}
       \cgalParamDescription{factor to control density of the ouput mesh,
                             where larger values cause denser refinements, as in `refine()`}
@@ -289,6 +308,15 @@ namespace Polygon_mesh_processing {
                       falls back to the non-Delaunay triangulations search space to find a solution.}
     \cgalParamNEnd
 
+    \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.
+                      This parameter is a good choice for near planar holes.}
+    \cgalParamNEnd
+
     \cgalParamNBegin{density_control_factor}
       \cgalParamDescription{factor to control density of the ouput mesh,
                             where larger values cause denser refinements, as in `refine()`}
@@ -415,6 +443,15 @@ namespace Polygon_mesh_processing {
       \cgalParamExtra{If no valid triangulation can be found in this search space, the algorithm
                       falls back to the non-Delaunay triangulations search space to find a solution.}
     \cgalParamNEnd
+
+    \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamType{Boolean}
+      \cgalParamDefault{`true`}
+      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
+                      falls back to the non-Delaunay triangulations search space to find a solution.
+                      This parameter is a good choice for near planar holes.}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   \todo handle islands

From 003291f696217ae1e031f7da780fa06a6ee7980d Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@users.noreply.github.com>
Date: Wed, 7 Oct 2020 15:02:57 +0200
Subject: [PATCH 079/317] Update
 Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../include/CGAL/Polygon_mesh_processing/triangulate_hole.h     | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index f0bc49091ca..d88637b7093 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -88,7 +88,7 @@ namespace Polygon_mesh_processing {
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
       \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
-                      falls back to the non-Delaunay triangulations search space to find a solution.
+                      falls back to the 3D Delaunay triangulation search space and/or the general search space to find a solution.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
   \cgalNamedParamsEnd

From 62cb8d3ed12dc4c9169d9b3de2eb359c7d7a9003 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@users.noreply.github.com>
Date: Wed, 7 Oct 2020 15:03:19 +0200
Subject: [PATCH 080/317] Update
 Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../include/CGAL/Polygon_mesh_processing/triangulate_hole.h     | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index d88637b7093..9ff1fb0327f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -87,7 +87,7 @@ namespace Polygon_mesh_processing {
       \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
+      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
                       falls back to the 3D Delaunay triangulation search space and/or the general search space to find a solution.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd

From 1988e8e4b6aa45961f52d7eb454b27de15a27315 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@users.noreply.github.com>
Date: Wed, 7 Oct 2020 15:03:37 +0200
Subject: [PATCH 081/317] Update
 Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../internal/Hole_filling/Triangulate_hole_polyline.h           | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 9fc38043985..ceea8311ba6 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1301,7 +1301,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   const Collinear_3 collinear_3 =
     traits.collinear_3_object();
 
-  std::vector<Point_3> P(boost::begin(points), boost::end(points));
+  std::vector<Point_3> P(std::begin(points), std::end(points));
   CGAL_assertion(P.size() >= 3);
   if (P.front() != P.back()) {
     P.push_back(P.front());

From c5ac6f15c753b94a8cc10f50ac4d6dfafb784c0d Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Wed, 7 Oct 2020 15:54:41 +0200
Subject: [PATCH 082/317] max squared distance added to np

---
 .../CGAL/boost/graph/parameters_interface.h   |  1 +
 .../Triangulate_hole_polygon_mesh.h           |  6 ++-
 .../Hole_filling/Triangulate_hole_polyline.h  | 23 ++++++----
 .../triangulate_hole.h                        | 44 ++++++++++++++++++-
 4 files changed, 61 insertions(+), 13 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/parameters_interface.h b/BGL/include/CGAL/boost/graph/parameters_interface.h
index 9bfc3d77841..420bc549e59 100644
--- a/BGL/include/CGAL/boost/graph/parameters_interface.h
+++ b/BGL/include/CGAL/boost/graph/parameters_interface.h
@@ -48,6 +48,7 @@ CGAL_add_named_parameter(vertex_incident_patches_t, vertex_incident_patches, ver
 CGAL_add_named_parameter(density_control_factor_t, density_control_factor, density_control_factor)
 CGAL_add_named_parameter(use_delaunay_triangulation_t, use_delaunay_triangulation, use_delaunay_triangulation)
 CGAL_add_named_parameter(use_2d_constrained_delaunay_triangulation_t, use_2d_constrained_delaunay_triangulation, use_2d_constrained_delaunay_triangulation)
+CGAL_add_named_parameter(max_squared_distance_t, max_squared_distance, max_squared_distance)
 CGAL_add_named_parameter(fairing_continuity_t, fairing_continuity, fairing_continuity)
 CGAL_add_named_parameter(sparse_linear_solver_t, sparse_linear_solver, sparse_linear_solver)
 CGAL_add_named_parameter(number_of_relaxation_steps_t, number_of_relaxation_steps, number_of_relaxation_steps)
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index cba88c6c27f..0636f5d470e 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -95,7 +95,9 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
             VertexPointMap vpmap,
             bool use_delaunay_triangulation,
             const Kernel& k,
-            const bool use_cdt)
+            const bool use_cdt,
+            const typename Kernel::FT max_squared_distance =
+            typename Kernel::FT(4) / typename Kernel::FT(10000))
 {
   typedef Halfedge_around_face_circulator<PolygonMesh>   Hedge_around_face_circulator;
   typedef typename boost::graph_traits<PolygonMesh>::vertex_descriptor vertex_descriptor;
@@ -176,7 +178,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
     tracer(out, pmesh, P_edges);
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
-    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k))
+    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k, max_squared_distance))
     {
       return std::make_pair(tracer.out, CGAL::internal::Weight_min_max_dihedral_and_area(0,0));
     }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index ceea8311ba6..c61907b169c 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1215,7 +1215,7 @@ template <typename Traits>
 bool is_planar_2(
   const std::vector<typename Traits::Point_3>& points,
   const typename Traits::Vector_3& avg_normal,
-  const typename Traits::FT max_sq_distance,
+  const typename Traits::FT max_squared_distance,
   const Traits& traits) {
 
   typedef typename Traits::FT FT;
@@ -1263,16 +1263,16 @@ bool is_planar_2(
   }
 
   const Plane_3 plane = Plane_3(centroid, avg_normal);
-  FT avg_sq_distance = FT(0);
+  FT avg_squared_distance = FT(0);
   for (std::size_t i = 0; i < n; ++i) {
     const Point_3& p = points[i];
     const Point_3  q = projection_3(plane, p);
-    avg_sq_distance += squared_distance_3(p, q);
+    avg_squared_distance += squared_distance_3(p, q);
   }
-  avg_sq_distance /= static_cast<FT>(n);
-  // std::cout << "avg squared distance: " << avg_sq_distance << std::endl;
+  avg_squared_distance /= static_cast<FT>(n);
+  // std::cout << "avg squared distance: " << avg_squared_distance << std::endl;
 
-  if (avg_sq_distance > max_sq_distance) {
+  if (avg_squared_distance > max_squared_distance) {
     return false; // the user distance criteria are not satisfied!
   }
 
@@ -1290,7 +1290,8 @@ bool
 triangulate_hole_polyline_with_cdt(const PointRange& points,
                                    Tracer& tracer,
                                    const Validity_checker& is_valid,
-                                   const Traits& traits)
+                                   const Traits& traits,
+                                   const typename Traits::FT max_squared_distance)
 {
   typedef typename Traits::FT FT;
   typedef typename Traits::Point_3 Point_3;
@@ -1338,6 +1339,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   }
 
   if (num_normals < 1) {
+    // std::cerr << "WARNING: num normals, cdt 2 falls back to the original solution!" << std::endl;
     return false;
   }
 
@@ -1349,8 +1351,8 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   // std::cout << "avg normal: " << avg_normal << std::endl;
 
   // Checking the hole planarity.
-  const FT max_sq_distance = FT(4) / FT(10000);
-  if (!is_planar_2(P, avg_normal, max_sq_distance, traits)) {
+  if (!is_planar_2(P, avg_normal, max_squared_distance, traits)) {
+    // std::cerr << "WARNING: planarity, cdt 2 falls back to the original solution!" << std::endl;
     return false;
   }
 
@@ -1358,6 +1360,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   typedef Triangulation_2_projection_traits_3<Traits> P_traits;
   const P_traits p_traits(avg_normal);
   if (!is_simple_2(P.begin(), P.end() - 1, p_traits)) {
+    // std::cerr << "WARNING: simplicity, cdt 2 falls back to the original solution!" << std::endl;
     return false;
   }
 
@@ -1418,6 +1421,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   }
 
   if (cdt.dimension() != 2 || cdt.number_of_vertices() != size) {
+    // std::cerr << "WARNING: dim + num vertices, cdt 2 falls back to the original solution!" << std::endl;
     return false;
   }
 
@@ -1434,6 +1438,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
       std::sort(is.begin(), is.end());
       lambda.put(is[0], is[2], is[1]);
       if (!is_valid(P, is[0], is[1], is[2])) {
+        // std::cerr << "WARNING: validity, cdt 2 falls back to the original solution!" << std::endl;
         return false;
       }
     }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 9ff1fb0327f..4da34c344c7 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -91,6 +91,15 @@ namespace Polygon_mesh_processing {
                       falls back to the 3D Delaunay triangulation search space and/or the general search space to find a solution.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
+
+    \cgalParamNBegin{max_squared_distance}
+      \cgalParamDescription{The maximum squared distance between the vertices of
+                            the hole boundary and the least squares plane fitted to this boundary.}
+      \cgalParamType{double}
+      \cgalParamDefault{0.0004}
+      \cgalParamExtra{This parameter is used only in conjunction with
+                      the parameter `use_2d_constrained_delaunay_triangulation`.}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   @return `out`
@@ -137,7 +146,9 @@ namespace Polygon_mesh_processing {
       out,
       choose_parameter(get_parameter(np, internal_np::vertex_point), get_property_map(vertex_point, pmesh)),
       use_dt3,
-      choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits)),use_cdt).first;
+      choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits)),use_cdt,
+      choose_parameter(get_parameter(np, internal_np::max_squared_distance),
+      typename GeomTraits::FT(4) / typename GeomTraits::FT(10000))).first;
   }
 
   template<typename PolygonMesh, typename OutputIterator>
@@ -217,6 +228,15 @@ namespace Polygon_mesh_processing {
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
+    \cgalParamNBegin{max_squared_distance}
+      \cgalParamDescription{The maximum squared distance between the vertices of
+                            the hole boundary and the least squares plane fitted to this boundary.}
+      \cgalParamType{double}
+      \cgalParamDefault{0.0004}
+      \cgalParamExtra{This parameter is used only in conjunction with
+                      the parameter `use_2d_constrained_delaunay_triangulation`.}
+    \cgalParamNEnd
+
     \cgalParamNBegin{density_control_factor}
       \cgalParamDescription{factor to control density of the ouput mesh,
                             where larger values cause denser refinements, as in `refine()`}
@@ -317,6 +337,15 @@ namespace Polygon_mesh_processing {
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
+    \cgalParamNBegin{max_squared_distance}
+      \cgalParamDescription{The maximum squared distance between the vertices of
+                            the hole boundary and the least squares plane fitted to this boundary.}
+      \cgalParamType{double}
+      \cgalParamDefault{0.0004}
+      \cgalParamExtra{This parameter is used only in conjunction with
+                      the parameter `use_2d_constrained_delaunay_triangulation`.}
+    \cgalParamNEnd
+
     \cgalParamNBegin{density_control_factor}
       \cgalParamDescription{factor to control density of the ouput mesh,
                             where larger values cause denser refinements, as in `refine()`}
@@ -452,6 +481,15 @@ namespace Polygon_mesh_processing {
                       falls back to the non-Delaunay triangulations search space to find a solution.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
+
+    \cgalParamNBegin{max_squared_distance}
+      \cgalParamDescription{The maximum squared distance between the vertices of
+                            the hole boundary and the least squares plane fitted to this boundary.}
+      \cgalParamType{double}
+      \cgalParamDefault{0.0004}
+      \cgalParamExtra{This parameter is used only in conjunction with
+                      the parameter `use_2d_constrained_delaunay_triangulation`.}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   \todo handle islands
@@ -509,7 +547,9 @@ bool use_dt3 =
          points,
          tracer,
          is_valid,
-         choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits))))
+         choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)),
+         choose_parameter(get_parameter(np, internal_np::max_squared_distance),
+         typename Kernel::FT(4) / typename Kernel::FT(10000))))
 #endif
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,

From b2494b1cc6e6a5a34e97b73d795a6277b9f12424 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Wed, 7 Oct 2020 16:47:39 +0200
Subject: [PATCH 083/317] use bbox to define the default value for the param
 max sq dist

---
 .../Triangulate_hole_polygon_mesh.h           |  3 +-
 .../triangulate_hole.h                        | 35 ++++++++++++++-----
 .../triangulate_hole_Polyhedron_3_test.cpp    |  2 +-
 3 files changed, 29 insertions(+), 11 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index 0636f5d470e..53fcf62e09d 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -96,8 +96,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
             bool use_delaunay_triangulation,
             const Kernel& k,
             const bool use_cdt,
-            const typename Kernel::FT max_squared_distance =
-            typename Kernel::FT(4) / typename Kernel::FT(10000))
+            const typename Kernel::FT max_squared_distance)
 {
   typedef Halfedge_around_face_circulator<PolygonMesh>   Hedge_around_face_circulator;
   typedef typename boost::graph_traits<PolygonMesh>::vertex_descriptor vertex_descriptor;
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 4da34c344c7..0eccb3ced57 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -16,6 +16,7 @@
 
 #include <CGAL/disable_warnings.h>
 
+#include <CGAL/bounding_box.h>
 #include <CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h>
 #include <CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h>
 #include <CGAL/Polygon_mesh_processing/refine.h>
@@ -96,7 +97,7 @@ namespace Polygon_mesh_processing {
       \cgalParamDescription{The maximum squared distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{0.0004}
+      \cgalParamDefault{squared one quater of the hole bounding box height}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -141,14 +142,29 @@ namespace Polygon_mesh_processing {
         choose_parameter(get_parameter(np, internal_np::use_2d_constrained_delaunay_triangulation), true);
 #endif
 
+    typename GeomTraits::FT default_sq_dist = typename GeomTraits::FT(0);
+    if (use_cdt) {
+
+      std::vector<typename GeomTraits::Point_3> points;
+      typedef Halfedge_around_face_circulator<PolygonMesh> Hedge_around_face_circulator;
+      const auto vpmap = choose_parameter(get_parameter(np, internal_np::vertex_point), get_property_map(vertex_point, pmesh));
+      Hedge_around_face_circulator circ(border_halfedge, pmesh), done(circ);
+      do {
+        points.push_back(get(vpmap, target(*circ, pmesh)));
+      } while (++circ != done);
+
+      const typename GeomTraits::Iso_cuboid_3 bbox = CGAL::bounding_box(points.begin(), points.end());
+      default_sq_dist = CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5)));
+      default_sq_dist /= typename GeomTraits::FT(16);
+    }
+
     return internal::triangulate_hole_polygon_mesh(pmesh,
       border_halfedge,
       out,
       choose_parameter(get_parameter(np, internal_np::vertex_point), get_property_map(vertex_point, pmesh)),
       use_dt3,
       choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits)),use_cdt,
-      choose_parameter(get_parameter(np, internal_np::max_squared_distance),
-      typename GeomTraits::FT(4) / typename GeomTraits::FT(10000))).first;
+      choose_parameter(get_parameter(np, internal_np::max_squared_distance), default_sq_dist)).first;
   }
 
   template<typename PolygonMesh, typename OutputIterator>
@@ -232,7 +248,7 @@ namespace Polygon_mesh_processing {
       \cgalParamDescription{The maximum squared distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{0.0004}
+      \cgalParamDefault{squared one quater of the hole bounding box height}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -341,7 +357,7 @@ namespace Polygon_mesh_processing {
       \cgalParamDescription{The maximum squared distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{0.0004}
+      \cgalParamDefault{squared one quater of the hole bounding box height}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -486,7 +502,7 @@ namespace Polygon_mesh_processing {
       \cgalParamDescription{The maximum squared distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{0.0004}
+      \cgalParamDefault{squared one quater of the hole bounding box height}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -542,14 +558,17 @@ bool use_dt3 =
     };
     Always_valid is_valid;
 
+    const typename Kernel::Iso_cuboid_3 bbox = CGAL::bounding_box(points.begin(), points.end());
+    typename Kernel::FT default_sq_dist = CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5)));
+    default_sq_dist /= typename Kernel::FT(16);
+
     if(!use_cdt ||
        !triangulate_hole_polyline_with_cdt(
          points,
          tracer,
          is_valid,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)),
-         choose_parameter(get_parameter(np, internal_np::max_squared_distance),
-         typename Kernel::FT(4) / typename Kernel::FT(10000))))
+         choose_parameter(get_parameter(np, internal_np::max_squared_distance), default_sq_dist)))
 #endif
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
index 5796282cf22..c2c5c575162 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_Polyhedron_3_test.cpp
@@ -109,7 +109,7 @@ void test_triangulate_hole_weight(const char* file_name, bool use_DT, std::size_
   for(std::vector<Halfedge_handle>::iterator it = border_reps.begin(); it != border_reps.end(); ++it) {
     std::vector<Facet_handle> patch;
     Weight w_algo = CGAL::Polygon_mesh_processing::internal::triangulate_hole_polygon_mesh(
-      poly, *it, back_inserter(patch), get(CGAL::vertex_point, poly), use_DT, Kernel(), false).second;
+      poly, *it, back_inserter(patch), get(CGAL::vertex_point, poly), use_DT, Kernel(), false, 0).second;
     if(patch.empty()) { continue; }
     Weight w_test = calculate_weight_for_patch(poly, patch.begin(), patch.end());
 

From ab9f76f2dbdf203b09030169286caeb506c5dee9 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 13 Oct 2020 17:48:06 +0200
Subject: [PATCH 084/317] fixed size_t warning

---
 .../internal/Hole_filling/Triangulate_hole_polyline.h           | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index c61907b169c..baa4878820f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1432,7 +1432,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
 
       std::vector<int> is(3);
       for (int i = 0; i < 3; ++i) {
-        is[i] = fit->vertex(i)->info();
+        is[i] = static_cast<int>(fit->vertex(i)->info());
       }
 
       std::sort(is.begin(), is.end());

From 82d561774b70a59cb5f985007c1e5c07a24b03cd Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 14 Oct 2020 15:42:18 +0200
Subject: [PATCH 085/317] update header

---
 .../Non_manifold_feature_map.h                       | 12 +-----------
 1 file changed, 1 insertion(+), 11 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
index edbb9809a54..419e330011e 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/Non_manifold_feature_map.h
@@ -2,20 +2,10 @@
 // All rights reserved.
 //
 // This file is part of CGAL (www.cgal.org).
-// You can redistribute it and/or modify it under the terms of the GNU
-// General Public License as published by the Free Software Foundation,
-// either version 3 of the License, or (at your option) any later version.
-//
-// Licensees holding a valid commercial license may use this file in
-// accordance with the commercial license agreement provided with the software.
-//
-// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
-// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
 //
 // $URL$
 // $Id$
-// SPDX-License-Identifier: GPL-3.0+
-//
+// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
 //
 // Author(s)     : Sebastien Loriot
 

From 1333517747b482edcd61d781f5e617b2538f0781 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 19 Oct 2020 11:45:21 +0200
Subject: [PATCH 086/317] fixed docs + max_sq_dist param changed to the dist
 param

---
 .../CGAL/boost/graph/parameters_interface.h   |  1 -
 .../Triangulate_hole_polygon_mesh.h           |  4 +-
 .../Hole_filling/Triangulate_hole_polyline.h  | 17 ++++----
 .../triangulate_hole.h                        | 40 ++++++++++---------
 4 files changed, 33 insertions(+), 29 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/parameters_interface.h b/BGL/include/CGAL/boost/graph/parameters_interface.h
index 420bc549e59..9bfc3d77841 100644
--- a/BGL/include/CGAL/boost/graph/parameters_interface.h
+++ b/BGL/include/CGAL/boost/graph/parameters_interface.h
@@ -48,7 +48,6 @@ CGAL_add_named_parameter(vertex_incident_patches_t, vertex_incident_patches, ver
 CGAL_add_named_parameter(density_control_factor_t, density_control_factor, density_control_factor)
 CGAL_add_named_parameter(use_delaunay_triangulation_t, use_delaunay_triangulation, use_delaunay_triangulation)
 CGAL_add_named_parameter(use_2d_constrained_delaunay_triangulation_t, use_2d_constrained_delaunay_triangulation, use_2d_constrained_delaunay_triangulation)
-CGAL_add_named_parameter(max_squared_distance_t, max_squared_distance, max_squared_distance)
 CGAL_add_named_parameter(fairing_continuity_t, fairing_continuity, fairing_continuity)
 CGAL_add_named_parameter(sparse_linear_solver_t, sparse_linear_solver, sparse_linear_solver)
 CGAL_add_named_parameter(number_of_relaxation_steps_t, number_of_relaxation_steps, number_of_relaxation_steps)
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index 53fcf62e09d..57bbe989eb4 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -96,7 +96,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
             bool use_delaunay_triangulation,
             const Kernel& k,
             const bool use_cdt,
-            const typename Kernel::FT max_squared_distance)
+            const typename Kernel::FT threshold_distance)
 {
   typedef Halfedge_around_face_circulator<PolygonMesh>   Hedge_around_face_circulator;
   typedef typename boost::graph_traits<PolygonMesh>::vertex_descriptor vertex_descriptor;
@@ -177,7 +177,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
     tracer(out, pmesh, P_edges);
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
-    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k, max_squared_distance))
+    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k, threshold_distance))
     {
       return std::make_pair(tracer.out, CGAL::internal::Weight_min_max_dihedral_and_area(0,0));
     }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index baa4878820f..502886d5d1c 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1215,7 +1215,7 @@ template <typename Traits>
 bool is_planar_2(
   const std::vector<typename Traits::Point_3>& points,
   const typename Traits::Vector_3& avg_normal,
-  const typename Traits::FT max_squared_distance,
+  const typename Traits::FT threshold_distance,
   const Traits& traits) {
 
   typedef typename Traits::FT FT;
@@ -1263,16 +1263,17 @@ bool is_planar_2(
   }
 
   const Plane_3 plane = Plane_3(centroid, avg_normal);
-  FT avg_squared_distance = FT(0);
+  FT avg_distance = FT(0);
   for (std::size_t i = 0; i < n; ++i) {
     const Point_3& p = points[i];
     const Point_3  q = projection_3(plane, p);
-    avg_squared_distance += squared_distance_3(p, q);
+    avg_distance += static_cast<FT>(
+      CGAL::sqrt(CGAL::to_double(CGAL::abs(squared_distance_3(p, q)))));
   }
-  avg_squared_distance /= static_cast<FT>(n);
-  // std::cout << "avg squared distance: " << avg_squared_distance << std::endl;
+  avg_distance /= static_cast<FT>(n);
+  // std::cout << "avg distance: " << avg_distance << std::endl;
 
-  if (avg_squared_distance > max_squared_distance) {
+  if (avg_distance > threshold_distance) {
     return false; // the user distance criteria are not satisfied!
   }
 
@@ -1291,7 +1292,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
                                    Tracer& tracer,
                                    const Validity_checker& is_valid,
                                    const Traits& traits,
-                                   const typename Traits::FT max_squared_distance)
+                                   const typename Traits::FT threshold_distance)
 {
   typedef typename Traits::FT FT;
   typedef typename Traits::Point_3 Point_3;
@@ -1351,7 +1352,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   // std::cout << "avg normal: " << avg_normal << std::endl;
 
   // Checking the hole planarity.
-  if (!is_planar_2(P, avg_normal, max_squared_distance, traits)) {
+  if (!is_planar_2(P, avg_normal, threshold_distance, traits)) {
     // std::cerr << "WARNING: planarity, cdt 2 falls back to the original solution!" << std::endl;
     return false;
   }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 0eccb3ced57..ecb34866969 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -93,11 +93,11 @@ namespace Polygon_mesh_processing {
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
-    \cgalParamNBegin{max_squared_distance}
-      \cgalParamDescription{The maximum squared distance between the vertices of
+    \cgalParamNBegin{threshold_distance}
+      \cgalParamDescription{The maximum distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{squared one quater of the hole bounding box height}
+      \cgalParamDefault{one quarter of the height of the bounding box of the hole}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -142,7 +142,7 @@ namespace Polygon_mesh_processing {
         choose_parameter(get_parameter(np, internal_np::use_2d_constrained_delaunay_triangulation), true);
 #endif
 
-    typename GeomTraits::FT default_sq_dist = typename GeomTraits::FT(0);
+    typename GeomTraits::FT default_distance = typename GeomTraits::FT(0);
     if (use_cdt) {
 
       std::vector<typename GeomTraits::Point_3> points;
@@ -154,17 +154,20 @@ namespace Polygon_mesh_processing {
       } while (++circ != done);
 
       const typename GeomTraits::Iso_cuboid_3 bbox = CGAL::bounding_box(points.begin(), points.end());
-      default_sq_dist = CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5)));
-      default_sq_dist /= typename GeomTraits::FT(16);
+      default_distance = static_cast<typename GeomTraits::FT>(
+        CGAL::sqrt(CGAL::to_double(CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5))))));
+      default_distance /= typename GeomTraits::FT(4); // one quarter of the bbox height
     }
 
-    return internal::triangulate_hole_polygon_mesh(pmesh,
+    return internal::triangulate_hole_polygon_mesh(
+      pmesh,
       border_halfedge,
       out,
       choose_parameter(get_parameter(np, internal_np::vertex_point), get_property_map(vertex_point, pmesh)),
       use_dt3,
-      choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits)),use_cdt,
-      choose_parameter(get_parameter(np, internal_np::max_squared_distance), default_sq_dist)).first;
+      choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits)),
+      use_cdt,
+      choose_parameter(get_parameter(np, internal_np::threshold_distance), default_distance)).first;
   }
 
   template<typename PolygonMesh, typename OutputIterator>
@@ -244,11 +247,11 @@ namespace Polygon_mesh_processing {
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
-    \cgalParamNBegin{max_squared_distance}
+    \cgalParamNBegin{threshold_distance}
       \cgalParamDescription{The maximum squared distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{squared one quater of the hole bounding box height}
+      \cgalParamDefault{one quarter of the height of the bounding box of the hole}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -353,11 +356,11 @@ namespace Polygon_mesh_processing {
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
-    \cgalParamNBegin{max_squared_distance}
+    \cgalParamNBegin{threshold_distance}
       \cgalParamDescription{The maximum squared distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{squared one quater of the hole bounding box height}
+      \cgalParamDefault{one quarter of the height of the bounding box of the hole}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -498,11 +501,11 @@ namespace Polygon_mesh_processing {
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
-    \cgalParamNBegin{max_squared_distance}
+    \cgalParamNBegin{threshold_distance}
       \cgalParamDescription{The maximum squared distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
-      \cgalParamDefault{squared one quater of the hole bounding box height}
+      \cgalParamDefault{one quarter of the height of the bounding box of the hole}
       \cgalParamExtra{This parameter is used only in conjunction with
                       the parameter `use_2d_constrained_delaunay_triangulation`.}
     \cgalParamNEnd
@@ -559,8 +562,9 @@ bool use_dt3 =
     Always_valid is_valid;
 
     const typename Kernel::Iso_cuboid_3 bbox = CGAL::bounding_box(points.begin(), points.end());
-    typename Kernel::FT default_sq_dist = CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5)));
-    default_sq_dist /= typename Kernel::FT(16);
+    typename Kernel::FT default_distance = static_cast<typename Kernel::FT>(
+      CGAL::sqrt(CGAL::to_double(CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5))))));
+    default_distance /= typename Kernel::FT(4); // one quarter of the bbox height
 
     if(!use_cdt ||
        !triangulate_hole_polyline_with_cdt(
@@ -568,7 +572,7 @@ bool use_dt3 =
          tracer,
          is_valid,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)),
-         choose_parameter(get_parameter(np, internal_np::max_squared_distance), default_sq_dist)))
+         choose_parameter(get_parameter(np, internal_np::threshold_distance), default_distance)))
 #endif
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,

From 1f5bc1e3ee4f01762619b03a73596c009284308c Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 19 Oct 2020 16:14:59 +0200
Subject: [PATCH 087/317] fixed description of the 2d CDT named parameter

---
 .../triangulate_hole.h                        | 22 +++++++++----------
 1 file changed, 11 insertions(+), 11 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index ecb34866969..96662c3fe43 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -85,11 +85,11 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
       \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
-                      falls back to the 3D Delaunay triangulation search space and/or the general search space to find a solution.
+                      falls back to the method using the 3D Delaunay triangulation.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
@@ -239,11 +239,11 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
-                      falls back to the non-Delaunay triangulations search space to find a solution.
+      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
+                      falls back to the method using the 3D Delaunay triangulation.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
@@ -348,11 +348,11 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
-                      falls back to the non-Delaunay triangulations search space to find a solution.
+      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
+                      falls back to the method using the 3D Delaunay triangulation.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
@@ -493,11 +493,11 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation facet search space.}
+      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found in this search space, the algorithm
-                      falls back to the non-Delaunay triangulations search space to find a solution.
+      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
+                      falls back to the method using the 3D Delaunay triangulation.
                       This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 

From 4b69a7f3512a04cd67eed1588ab0070e625138a7 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Mon, 19 Oct 2020 16:19:38 +0200
Subject: [PATCH 088/317] better function description

---
 .../CGAL/Polygon_mesh_processing/triangulate_hole.h  | 12 +++++++-----
 1 file changed, 7 insertions(+), 5 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 96662c3fe43..73c02f7cb2f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -43,11 +43,13 @@ namespace Polygon_mesh_processing {
   /*!
   \ingroup hole_filling_grp
   triangulates a hole in a polygon mesh.
-  When using the 2D constrained Delaunay triangulation, the hole must not contain any
-  self-intersections. However, this option can be applied only for near planar holes.
-  In other cases, the hole must not contain any non-manifold vertex as well.
-  The patch generated does not introduce non-manifold edges nor degenerate triangles.
-  If a hole cannot be triangulated, `pmesh` is not modified and nothing is recorded in `out`.
+
+  Depending on the choice of the underlying algorithm different preconditions apply.
+  When using the 2D constrained Delaunay triangulation, the border edges of the hole
+  must not intersect the surface. Otherwise, additionally, the boundary
+  of the hole must not contain any non-manifold vertex. The patch generated does not
+  introduce non-manifold edges nor degenerate triangles. If a hole cannot be triangulated,
+  `pmesh` is not modified and nothing is recorded in `out`.
 
   @tparam PolygonMesh a model of `MutableFaceGraph`
   @tparam OutputIterator a model of `OutputIterator`

From b64c9638b6d1f96568aac00f69af52ec56d432d6 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Wed, 21 Oct 2020 11:55:58 +0200
Subject: [PATCH 089/317] fixed docs + improved test (warning free now) + more
 precise computations inside tri with cdt

---
 .../Triangulate_hole_polygon_mesh.h           |  4 +-
 .../Hole_filling/Triangulate_hole_polyline.h  | 18 ++---
 .../triangulate_hole.h                        | 80 ++++++++++++-------
 .../triangulate_hole_with_cdt_2_test.cpp      |  6 +-
 4 files changed, 65 insertions(+), 43 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
index 57bbe989eb4..53fcf62e09d 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polygon_mesh.h
@@ -96,7 +96,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
             bool use_delaunay_triangulation,
             const Kernel& k,
             const bool use_cdt,
-            const typename Kernel::FT threshold_distance)
+            const typename Kernel::FT max_squared_distance)
 {
   typedef Halfedge_around_face_circulator<PolygonMesh>   Hedge_around_face_circulator;
   typedef typename boost::graph_traits<PolygonMesh>::vertex_descriptor vertex_descriptor;
@@ -177,7 +177,7 @@ triangulate_hole_polygon_mesh(PolygonMesh& pmesh,
     tracer(out, pmesh, P_edges);
 
 #ifndef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
-    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k, threshold_distance))
+    if(use_cdt && triangulate_hole_polyline_with_cdt(P, tracer, is_valid, k, max_squared_distance))
     {
       return std::make_pair(tracer.out, CGAL::internal::Weight_min_max_dihedral_and_area(0,0));
     }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 502886d5d1c..b7db5e2e80d 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1215,7 +1215,7 @@ template <typename Traits>
 bool is_planar_2(
   const std::vector<typename Traits::Point_3>& points,
   const typename Traits::Vector_3& avg_normal,
-  const typename Traits::FT threshold_distance,
+  const typename Traits::FT max_squared_distance,
   const Traits& traits) {
 
   typedef typename Traits::FT FT;
@@ -1262,18 +1262,18 @@ bool is_planar_2(
     return false; // a good plane does not exist for sure!
   }
 
+  // Here, avg_squared_distance is a little bit more tolerant than avg_distance^2.
   const Plane_3 plane = Plane_3(centroid, avg_normal);
-  FT avg_distance = FT(0);
+  FT avg_squared_distance = FT(0);
   for (std::size_t i = 0; i < n; ++i) {
     const Point_3& p = points[i];
     const Point_3  q = projection_3(plane, p);
-    avg_distance += static_cast<FT>(
-      CGAL::sqrt(CGAL::to_double(CGAL::abs(squared_distance_3(p, q)))));
+    avg_squared_distance += CGAL::abs(squared_distance_3(p, q));
   }
-  avg_distance /= static_cast<FT>(n);
-  // std::cout << "avg distance: " << avg_distance << std::endl;
+  avg_squared_distance /= static_cast<FT>(n);
+  // std::cout << "avg squared distance: " << avg_squared_distance << std::endl;
 
-  if (avg_distance > threshold_distance) {
+  if (avg_squared_distance > max_squared_distance) {
     return false; // the user distance criteria are not satisfied!
   }
 
@@ -1292,7 +1292,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
                                    Tracer& tracer,
                                    const Validity_checker& is_valid,
                                    const Traits& traits,
-                                   const typename Traits::FT threshold_distance)
+                                   const typename Traits::FT max_squared_distance)
 {
   typedef typename Traits::FT FT;
   typedef typename Traits::Point_3 Point_3;
@@ -1352,7 +1352,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
   // std::cout << "avg normal: " << avg_normal << std::endl;
 
   // Checking the hole planarity.
-  if (!is_planar_2(P, avg_normal, threshold_distance, traits)) {
+  if (!is_planar_2(P, avg_normal, max_squared_distance, traits)) {
     // std::cerr << "WARNING: planarity, cdt 2 falls back to the original solution!" << std::endl;
     return false;
   }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 73c02f7cb2f..be8ec391de8 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -87,12 +87,15 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
+      \cgalParamDescription{If `true`, the points of the boundary of the hole are used
+                            to estimate a fitting plane and a 2D constrained Delaunay triangulation
+                            is then used to fill the hole projected in the fitting plane.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
-                      falls back to the method using the 3D Delaunay triangulation.
-                      This parameter is a good choice for near planar holes.}
+      \cgalParamExtra{If the boundary of the hole is not planar (according to the
+                      parameter `threshold_distance`) or if no valid 2D triangulation
+                      can be found, the algorithm falls back to the method using
+                      the 3D Delaunay triangulation. This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
     \cgalParamNBegin{threshold_distance}
@@ -144,7 +147,7 @@ namespace Polygon_mesh_processing {
         choose_parameter(get_parameter(np, internal_np::use_2d_constrained_delaunay_triangulation), true);
 #endif
 
-    typename GeomTraits::FT default_distance = typename GeomTraits::FT(0);
+    typename GeomTraits::FT max_squared_distance = typename GeomTraits::FT(-1);
     if (use_cdt) {
 
       std::vector<typename GeomTraits::Point_3> points;
@@ -156,10 +159,16 @@ namespace Polygon_mesh_processing {
       } while (++circ != done);
 
       const typename GeomTraits::Iso_cuboid_3 bbox = CGAL::bounding_box(points.begin(), points.end());
-      default_distance = static_cast<typename GeomTraits::FT>(
-        CGAL::sqrt(CGAL::to_double(CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5))))));
-      default_distance /= typename GeomTraits::FT(4); // one quarter of the bbox height
+      typename GeomTraits::FT default_squared_distance = CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5)));
+      default_squared_distance /= typename GeomTraits::FT(16); // one quarter of the bbox height
+
+      const typename GeomTraits::FT threshold_distance = choose_parameter(
+        get_parameter(np, internal_np::threshold_distance), typename GeomTraits::FT(-1));
+      max_squared_distance = default_squared_distance;
+      if (threshold_distance >= typename GeomTraits::FT(0))
+        max_squared_distance = threshold_distance * threshold_distance;
     }
+    CGAL_assertion(max_squared_distance >= typename GeomTraits::FT(0));
 
     return internal::triangulate_hole_polygon_mesh(
       pmesh,
@@ -169,7 +178,7 @@ namespace Polygon_mesh_processing {
       use_dt3,
       choose_parameter<GeomTraits>(get_parameter(np, internal_np::geom_traits)),
       use_cdt,
-      choose_parameter(get_parameter(np, internal_np::threshold_distance), default_distance)).first;
+      max_squared_distance).first;
   }
 
   template<typename PolygonMesh, typename OutputIterator>
@@ -241,16 +250,19 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
+      \cgalParamDescription{If `true`, the points of the boundary of the hole are used
+                            to estimate a fitting plane and a 2D constrained Delaunay triangulation
+                            is then used to fill the hole projected in the fitting plane.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
-                      falls back to the method using the 3D Delaunay triangulation.
-                      This parameter is a good choice for near planar holes.}
+      \cgalParamExtra{If the boundary of the hole is not planar (according to the
+                      parameter `threshold_distance`) or if no valid 2D triangulation
+                      can be found, the algorithm falls back to the method using
+                      the 3D Delaunay triangulation. This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
     \cgalParamNBegin{threshold_distance}
-      \cgalParamDescription{The maximum squared distance between the vertices of
+      \cgalParamDescription{The maximum distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
       \cgalParamDefault{one quarter of the height of the bounding box of the hole}
@@ -350,16 +362,19 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
+      \cgalParamDescription{If `true`, the points of the boundary of the hole are used
+                            to estimate a fitting plane and a 2D constrained Delaunay triangulation
+                            is then used to fill the hole projected in the fitting plane.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
-                      falls back to the method using the 3D Delaunay triangulation.
-                      This parameter is a good choice for near planar holes.}
+      \cgalParamExtra{If the boundary of the hole is not planar (according to the
+                      parameter `threshold_distance`) or if no valid 2D triangulation
+                      can be found, the algorithm falls back to the method using
+                      the 3D Delaunay triangulation. This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
     \cgalParamNBegin{threshold_distance}
-      \cgalParamDescription{The maximum squared distance between the vertices of
+      \cgalParamDescription{The maximum distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
       \cgalParamDefault{one quarter of the height of the bounding box of the hole}
@@ -495,16 +510,19 @@ namespace Polygon_mesh_processing {
     \cgalParamNEnd
 
     \cgalParamNBegin{use_2d_constrained_delaunay_triangulation}
-      \cgalParamDescription{If `true`, use the 2D constrained Delaunay triangulation to fill the hole.}
+      \cgalParamDescription{If `true`, the points of the boundary of the hole are used
+                            to estimate a fitting plane and a 2D constrained Delaunay triangulation
+                            is then used to fill the hole projected in the fitting plane.}
       \cgalParamType{Boolean}
       \cgalParamDefault{`true`}
-      \cgalParamExtra{If no valid 2D triangulation can be found, the algorithm
-                      falls back to the method using the 3D Delaunay triangulation.
-                      This parameter is a good choice for near planar holes.}
+      \cgalParamExtra{If the boundary of the hole is not planar (according to the
+                      parameter `threshold_distance`) or if no valid 2D triangulation
+                      can be found, the algorithm falls back to the method using
+                      the 3D Delaunay triangulation. This parameter is a good choice for near planar holes.}
     \cgalParamNEnd
 
     \cgalParamNBegin{threshold_distance}
-      \cgalParamDescription{The maximum squared distance between the vertices of
+      \cgalParamDescription{The maximum distance between the vertices of
                             the hole boundary and the least squares plane fitted to this boundary.}
       \cgalParamType{double}
       \cgalParamDefault{one quarter of the height of the bounding box of the hole}
@@ -564,9 +582,15 @@ bool use_dt3 =
     Always_valid is_valid;
 
     const typename Kernel::Iso_cuboid_3 bbox = CGAL::bounding_box(points.begin(), points.end());
-    typename Kernel::FT default_distance = static_cast<typename Kernel::FT>(
-      CGAL::sqrt(CGAL::to_double(CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5))))));
-    default_distance /= typename Kernel::FT(4); // one quarter of the bbox height
+    typename Kernel::FT default_squared_distance = CGAL::abs(CGAL::squared_distance(bbox.vertex(0), bbox.vertex(5)));
+    default_squared_distance /= typename Kernel::FT(16); // one quarter of the bbox height
+
+    const typename Kernel::FT threshold_distance = choose_parameter(
+      get_parameter(np, internal_np::threshold_distance), typename Kernel::FT(-1));
+    typename Kernel::FT max_squared_distance = default_squared_distance;
+    if (threshold_distance >= typename Kernel::FT(0))
+      max_squared_distance = threshold_distance * threshold_distance;
+    CGAL_assertion(max_squared_distance >= typename Kernel::FT(0));
 
     if(!use_cdt ||
        !triangulate_hole_polyline_with_cdt(
@@ -574,7 +598,7 @@ bool use_dt3 =
          tracer,
          is_valid,
          choose_parameter<Kernel>(get_parameter(np, internal_np::geom_traits)),
-         choose_parameter(get_parameter(np, internal_np::threshold_distance), default_distance)))
+         max_squared_distance))
 #endif
     triangulate_hole_polyline(points, third_points, tracer, WC(),
                               use_dt3,
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index 0d57e360b59..2e656139b3e 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -35,9 +35,7 @@ void detect_borders(
       Halfedge_around_facet_circulator done(hf_around_facet);
 
       do {
-        const bool is_insertion_ok =
-          border_map.insert(*hf_around_facet).second;
-        assert(is_insertion_ok);
+        assert(border_map.insert(*hf_around_facet).second); // is insertion ok?
       } while (++hf_around_facet != done);
     }
   }
@@ -83,7 +81,7 @@ void test_triangulate_hole_with_cdt_2(
 
   // Triangulating the holes.
   std::vector<Face_handle> patch_faces;
-  for (const Halfedge_handle h : borders) {
+  for (const Halfedge_handle& h : borders) {
     patch_faces.clear();
     CGAL::Polygon_mesh_processing::triangulate_hole(
       pmesh,

From 80af4b3e747e362f9c0e1c30f1a51b6e0fe69eb9 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 26 Oct 2020 09:17:01 +0100
Subject: [PATCH 090/317] be more permissive for bisector with a FT with sqrt

---
 .../include/CGAL/constructions/kernel_ftC2.h         |  4 ++--
 .../include/CGAL/constructions/kernel_ftC3.h         |  8 ++++----
 .../doc/Kernel_23/CGAL/Kernel/global_functions.h     | 12 ++++++++----
 .../doc/Kernel_23/Concepts/FunctionObjectConcepts.h  | 12 ++++++++----
 4 files changed, 22 insertions(+), 14 deletions(-)

diff --git a/Cartesian_kernel/include/CGAL/constructions/kernel_ftC2.h b/Cartesian_kernel/include/CGAL/constructions/kernel_ftC2.h
index c5066bec4d0..f5d27322792 100644
--- a/Cartesian_kernel/include/CGAL/constructions/kernel_ftC2.h
+++ b/Cartesian_kernel/include/CGAL/constructions/kernel_ftC2.h
@@ -246,8 +246,8 @@ bisector_of_linesC2(const FT &pa, const FT &pb, const FT &pc,
                     FT &a, FT &b, FT &c)
 {
   // We normalize the equations of the 2 lines, and we then add them.
-  FT n1 = CGAL_NTS sqrt(CGAL_NTS square(pa) + CGAL_NTS square(pb));
-  FT n2 = CGAL_NTS sqrt(CGAL_NTS square(qa) + CGAL_NTS square(qb));
+  FT n1 = CGAL_NTS approximate_sqrt( FT(CGAL_NTS square(pa) + CGAL_NTS square(pb)) );
+  FT n2 = CGAL_NTS approximate_sqrt( FT(CGAL_NTS square(qa) + CGAL_NTS square(qb)) );
   a = n2 * pa + n1 * qa;
   b = n2 * pb + n1 * qb;
   c = n2 * pc + n1 * qc;
diff --git a/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h b/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h
index 63a1442f511..ac1dced802c 100644
--- a/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h
+++ b/Cartesian_kernel/include/CGAL/constructions/kernel_ftC3.h
@@ -366,10 +366,10 @@ bisector_of_planesC3(const FT &pa, const FT &pb, const FT &pc, const FT &pd,
                      FT &a, FT &b, FT &c, FT &d)
 {
   // We normalize the equations of the 2 planes, and we then add them.
-  FT n1 = CGAL_NTS sqrt(CGAL_NTS square(pa) + CGAL_NTS square(pb) +
-                        CGAL_NTS square(pc));
-  FT n2 = CGAL_NTS sqrt(CGAL_NTS square(qa) + CGAL_NTS square(qb) +
-                        CGAL_NTS square(qc));
+  FT n1 = CGAL_NTS approximate_sqrt( FT(CGAL_NTS square(pa) + CGAL_NTS square(pb) +
+                        CGAL_NTS square(pc)) );
+  FT n2 = CGAL_NTS approximate_sqrt( FT(CGAL_NTS square(qa) + CGAL_NTS square(qb) +
+                        CGAL_NTS square(qc)) );
   a = n2 * pa + n1 * qa;
   b = n2 * pb + n1 * qb;
   c = n2 * pc + n1 * qc;
diff --git a/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h b/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h
index 98ea9f7ed60..24b5d073631 100644
--- a/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h
+++ b/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h
@@ -355,8 +355,10 @@ through the intersection of `l1` and `l2`.
 If `l1` and `l2` are parallel, then the bisector is defined as the line
 which has the same direction as `l1`, and which is at the same distance
 from `l1` and `l2`.
-This function requires that `Kernel::RT` supports the `sqrt()`
-operation.
+If `Kernel::FT` is not a model of `FieldWithSqrt`
+an approximation of the square root will be used in this function,
+impacting the exactness of the result even with a (exact) multiprecision
+number type.
 */
 template <typename Kernel>
 CGAL::Line_2<Kernel> bisector(const CGAL::Line_2<Kernel> &l1,
@@ -379,8 +381,10 @@ passes through the intersection of `h1` and `h2`.
 If `h1` and `h2` are parallel, then the bisector is defined as the
 plane which has the same oriented normal vector as `l1`, and which is at
 the same distance from `h1` and `h2`.
-This function requires that `Kernel::RT` supports the `sqrt()`
-operation.
+If `Kernel::FT` is not a model of `FieldWithSqrt`
+an approximation of the square root will be used in this function,
+impacting the exactness of the result even with a (exact) multiprecision
+number type.
 */
 template <typename Kernel>
 CGAL::Plane_3<Kernel> bisector(const CGAL::Plane_3<Kernel> &h1,
diff --git a/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h b/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
index b63475c7188..a8ea38cd865 100644
--- a/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
+++ b/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
@@ -3848,8 +3848,10 @@ public:
     If `l1` and `l2` are parallel, then the bisector is defined as the line
     which has the same direction as `l1`, and which is at the same distance
     from `l1` and `l2`.
-    This function requires that `Kernel::RT` supports the `sqrt()`
-    operation.
+    If `Kernel::FT` is not a model of `FieldWithSqrt`
+    an approximation of the square root will be used in this function,
+    impacting the exactness of the result even with a (exact) multiprecision
+    number type.
   */
   Kernel::Line_2 operator()(const Kernel::Line_2&l1,
                             const Kernel::Line_2&l2);
@@ -3891,8 +3893,10 @@ public:
     If `h1` and `h2` are parallel, then the bisector is defined as the
     plane which has the same oriented normal vector as `h1`, and which is at
     the same distance from `h1` and `h2`.
-    This function requires that `Kernel::RT` supports the `sqrt()`
-    operation.
+    If `Kernel::FT` is not a model of `FieldWithSqrt`
+    an approximation of the square root will be used in this function,
+    impacting the exactness of the result even with a (exact) multiprecision
+    number type.
   */
   Kernel::Plane_3 operator()(const Kernel::Plane_3&h1,
                              const Kernel::Plane_3&h2);

From e685203cc60602d8cb5361aa4a9ec31fa22c304b Mon Sep 17 00:00:00 2001
From: Sebastien Loriot <sebastien.loriot@cgal.org>
Date: Mon, 26 Oct 2020 11:08:56 +0100
Subject: [PATCH 091/317] a -> an

---
 Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h    | 4 ++--
 Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h | 4 ++--
 2 files changed, 4 insertions(+), 4 deletions(-)

diff --git a/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h b/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h
index 24b5d073631..bb63612593e 100644
--- a/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h
+++ b/Kernel_23/doc/Kernel_23/CGAL/Kernel/global_functions.h
@@ -357,7 +357,7 @@ which has the same direction as `l1`, and which is at the same distance
 from `l1` and `l2`.
 If `Kernel::FT` is not a model of `FieldWithSqrt`
 an approximation of the square root will be used in this function,
-impacting the exactness of the result even with a (exact) multiprecision
+impacting the exactness of the result even with an (exact) multiprecision
 number type.
 */
 template <typename Kernel>
@@ -383,7 +383,7 @@ plane which has the same oriented normal vector as `l1`, and which is at
 the same distance from `h1` and `h2`.
 If `Kernel::FT` is not a model of `FieldWithSqrt`
 an approximation of the square root will be used in this function,
-impacting the exactness of the result even with a (exact) multiprecision
+impacting the exactness of the result even with an (exact) multiprecision
 number type.
 */
 template <typename Kernel>
diff --git a/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h b/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
index a8ea38cd865..34c54c85e42 100644
--- a/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
+++ b/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
@@ -3850,7 +3850,7 @@ public:
     from `l1` and `l2`.
     If `Kernel::FT` is not a model of `FieldWithSqrt`
     an approximation of the square root will be used in this function,
-    impacting the exactness of the result even with a (exact) multiprecision
+    impacting the exactness of the result even with an (exact) multiprecision
     number type.
   */
   Kernel::Line_2 operator()(const Kernel::Line_2&l1,
@@ -3895,7 +3895,7 @@ public:
     the same distance from `h1` and `h2`.
     If `Kernel::FT` is not a model of `FieldWithSqrt`
     an approximation of the square root will be used in this function,
-    impacting the exactness of the result even with a (exact) multiprecision
+    impacting the exactness of the result even with an (exact) multiprecision
     number type.
   */
   Kernel::Plane_3 operator()(const Kernel::Plane_3&h1,

From 061c6684fb443e132a660faa4ab619a37424099e Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 29 Oct 2020 16:08:23 +0100
Subject: [PATCH 092/317] use Sqrt function if available

---
 Algebraic_foundations/include/CGAL/number_utils.h | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

diff --git a/Algebraic_foundations/include/CGAL/number_utils.h b/Algebraic_foundations/include/CGAL/number_utils.h
index abb7894ccf4..7c1ac814af6 100644
--- a/Algebraic_foundations/include/CGAL/number_utils.h
+++ b/Algebraic_foundations/include/CGAL/number_utils.h
@@ -302,13 +302,13 @@ to_interval( const Real_embeddable& x) {
 }
 
 template <typename NT>
-NT approximate_sqrt(const NT& nt, CGAL::Field_tag)
+NT approximate_sqrt(const NT& nt, CGAL::Null_functor)
 {
   return NT(sqrt(CGAL::to_double(nt)));
 }
 
-template <typename NT>
-NT approximate_sqrt(const NT& nt, CGAL::Field_with_sqrt_tag)
+template <typename NT, typename Sqrt>
+NT approximate_sqrt(const NT& nt, Sqrt sqrt)
 {
   return sqrt(nt);
 }
@@ -317,8 +317,8 @@ template <typename NT>
 NT approximate_sqrt(const NT& nt)
 {
   typedef CGAL::Algebraic_structure_traits<NT> AST;
-  typedef typename AST::Algebraic_category Algebraic_category;
-  return approximate_sqrt(nt, Algebraic_category());
+  typedef typename AST::Sqrt Sqrt;
+  return approximate_sqrt(nt, Sqrt());
 }
 
 CGAL_NTS_END_NAMESPACE

From a4b0f88d41f58dcfb9b9fc6756fadd5a6e13dba3 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 29 Oct 2020 16:08:47 +0100
Subject: [PATCH 093/317] test all now

---
 .../Kernel_23/include/CGAL/_test_fct_line_2.h | 25 +++----------------
 .../include/CGAL/_test_fct_plane_3.h          | 22 +++-------------
 2 files changed, 7 insertions(+), 40 deletions(-)

diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h
index e88c95fb0fe..28ec8a3d1ea 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h
@@ -18,22 +18,9 @@
 #ifndef CGAL__TEST_FCT_LINE_2_H
 #define CGAL__TEST_FCT_LINE_2_H
 
-// Accessory function testing functions that require sqrt().
-// Doesn't instantiate anything if RT doesn't support sqrt().
 template <class R>
 bool
-_test_fct_line_sqrt_2(const R&, CGAL::Tag_false)
-{
-//  bool UNTESTED_STUFF_BECAUSE_SQRT_IS_NOT_SUPPORTED;
-  std::cout << std::endl
-            << "NOTE : FT doesn't support sqrt(),"
-               " hence some functions are not tested." << std::endl;
-  return true;
-}
-
-template <class R>
-bool
-_test_fct_line_sqrt_2(const R&, CGAL::Tag_true)
+_test_fct_line_sqrt_2(const R&)
 {
  typedef typename  R::Point_2  Point_2;
  typedef typename  R::Line_2   Line_2;
@@ -178,13 +165,9 @@ _test_fct_line_2(const R& )
  assert(bl1.oriented_side(p2) == CGAL::ON_POSITIVE_SIDE);
  assert( CGAL::parallel(bl1, bl2) );
 
- // More tests, that require sqrt().
- {
-     typedef ::CGAL::Algebraic_structure_traits<FT> AST;
-     static const bool has_sqrt =
-         ! ::boost::is_same< ::CGAL::Null_functor, typename AST::Sqrt >::value;
-     _test_fct_line_sqrt_2(R(), ::CGAL::Boolean_tag<has_sqrt>());
- }
+ // More tests, that require sqrt() or use approx.
+  _test_fct_line_sqrt_2(R());
+
  std::cout << "done" << std::endl;
  return true;
 }
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h
index f39bc4d1ae7..a5502ad4c3b 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h
@@ -17,22 +17,9 @@
 #ifndef CGAL__TEST_FCT_PLANE_3_H
 #define CGAL__TEST_FCT_PLANE_3_H
 
-// Accessory function testing functions that require sqrt().
-// Doesn't instantiate anything if RT doesn't support sqrt().
 template <class R>
 bool
-_test_fct_plane_sqrt_3(const R&, CGAL::Tag_false)
-{
-//  bool UNTESTED_STUFF_BECAUSE_SQRT_IS_NOT_SUPPORTED;
-  std::cout << std::endl
-            << "NOTE : FT doesn't support sqrt(),"
-               " hence some functions are not tested." << std::endl;
-  return true;
-}
-
-template <class R>
-bool
-_test_fct_plane_sqrt_3(const R&, CGAL::Tag_true)
+_test_fct_plane_sqrt_3(const R&)
 {
  typedef typename  R::Point_3  Point_3;
  typedef typename  R::Plane_3  Plane_3;
@@ -97,11 +84,8 @@ _test_fct_plane_3(const R& )
  assert(   CGAL::parallel(h1, h2) );
  assert( ! CGAL::parallel(h1, h5) );
 
- // More tests, that require sqrt().
- typedef ::CGAL::Algebraic_structure_traits<FT> AST;
- static const bool has_sqrt =
-     ! ::boost::is_same< ::CGAL::Null_functor, typename AST::Sqrt >::value;
- _test_fct_plane_sqrt_3(R(), ::CGAL::Boolean_tag<has_sqrt>());
+ // More tests, that require sqrt() or use approx.
+ _test_fct_plane_sqrt_3(R());
 
  std::cout << "done" << std::endl;
  return true;

From 0accdc3c7953319d90b5063a66e5c960a3c326ae Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 29 Oct 2020 16:32:23 +0100
Subject: [PATCH 094/317] add comment

---
 Algebraic_foundations/include/CGAL/number_utils.h | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/Algebraic_foundations/include/CGAL/number_utils.h b/Algebraic_foundations/include/CGAL/number_utils.h
index 7c1ac814af6..d29434ad603 100644
--- a/Algebraic_foundations/include/CGAL/number_utils.h
+++ b/Algebraic_foundations/include/CGAL/number_utils.h
@@ -316,6 +316,9 @@ NT approximate_sqrt(const NT& nt, Sqrt sqrt)
 template <typename NT>
 NT approximate_sqrt(const NT& nt)
 {
+  // the initial version of this function was using Algebraic_category
+  // for the dispatch but some ring type (like Gmpz) provides a Sqrt
+  // functor even if not being Field_with_sqrt.
   typedef CGAL::Algebraic_structure_traits<NT> AST;
   typedef typename AST::Sqrt Sqrt;
   return approximate_sqrt(nt, Sqrt());

From 15094cd6794ff0937f458458226156d6379ee306 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Fri, 30 Oct 2020 16:23:17 +0100
Subject: [PATCH 095/317] the visitor can now track edge splits

---
 .../Concepts/PMPCorefinementVisitor.h         | 23 +++++++++++++++----
 .../internal/Corefinement/Visitor.h           |  3 +++
 .../internal/Corefinement/face_graph_utils.h  |  3 +++
 3 files changed, 25 insertions(+), 4 deletions(-)

diff --git a/Polygon_mesh_processing/doc/Polygon_mesh_processing/Concepts/PMPCorefinementVisitor.h b/Polygon_mesh_processing/doc/Polygon_mesh_processing/Concepts/PMPCorefinementVisitor.h
index 7d95997ff80..cd2e6ebf2eb 100644
--- a/Polygon_mesh_processing/doc/Polygon_mesh_processing/Concepts/PMPCorefinementVisitor.h
+++ b/Polygon_mesh_processing/doc/Polygon_mesh_processing/Concepts/PMPCorefinementVisitor.h
@@ -3,20 +3,21 @@
 ///
 /// The concept `PMPCorefinementVisitor` defines the requirements for the visitor
 /// used in \link PMP_corefinement_grp corefinement-related functions \endlink to track
-/// the creation of new faces.
+/// the creation of new faces and new edges.
 ///
 /// \cgalRefines `CopyConstructible`
 /// \cgalHasModel `CGAL::Polygon_mesh_processing::Corefinement::Default_visitor`.
 
-
 class PMPCorefinementVisitor{
 public:
 /// Mesh type
 typedef unspecified_type Triangle_mesh;
-/// Face decriptor type
+/// Face descriptor type
 typedef unspecified_type face_descriptor;
+/// Halfedge descriptor type
+typedef unspecified_type halfedge_descriptor;
 
-/// @name Functions used by corefine()
+/// @name Functions used by corefine() when faces are split
 /// @{
   /// called before the triangulation of `f_split` in `tm`. Note that `f_split`
   /// will be one of the faces of the triangulation. Each subsequent call to
@@ -32,6 +33,20 @@ typedef unspecified_type face_descriptor;
   void after_subface_created(face_descriptor f_new, Triangle_mesh& tm);
 /// @}
 
+/// @name Functions used by corefine() when edges are split
+/// @{
+  /// called before the edge of `h` in `tm` is split. Each subsequent call to
+  /// `edge_split()` until the call to `after_edge_split()` will correspond to
+  /// the split of that edge. If `edge_split(h_i, tm)` is called for `i=1` to `n`,
+  /// `h_1`, `h_2`, ... ,`h_n`, `h` is the sequence of halfedges representing the
+  /// edge split (with the same initial orientation)
+  void before_edge_split(halfedge_descriptor h, TriangleMesh& tm);
+  /// called when a new split is done. The target of `hnew` is a new split vertex.
+  void edge_split(halfedge_descriptor hnew, TriangleMesh& tm);
+  /// called when the split of the halfedge `h` passed at the later call to `before_edge_split()` is finished.
+  void after_edge_split();
+/// @}
+
 /// @name Functions used by Boolean operations functions using corefinement.
 /// These functions are not needed if you only call `corefine()`.
 /// @{
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index a367f1eee99..43bc4889aee 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -759,6 +759,7 @@ void check_node_on_boundary_vertex_case(std::size_t node_id,
       bool hedge_is_marked = call_get(marks_on_edges,tm,edge(hedge,tm));
       //do split the edges
       CGAL_assertion_code(vertex_descriptor expected_src=source(hedge,tm));
+      user_visitor.before_edge_split(hedge, tm);
       for(std::size_t node_id : node_ids)
       {
         halfedge_descriptor hnew = Euler::split_edge(hedge, tm);
@@ -777,9 +778,11 @@ void check_node_on_boundary_vertex_case(std::size_t node_id,
         //update marker tags. If the edge was marked, then the resulting edges in the split must be marked
         if ( hedge_is_marked )
           call_put(marks_on_edges,tm,edge(hnew,tm),true);
+        user_visitor.edge_split(hnew, tm);
 
         CGAL_assertion_code(expected_src=vnew);
       }
+      user_visitor.after_edge_split();
 
       CGAL_assertion(target(hedge_incident_to_src,tm)==original_vertex);
       CGAL_assertion(face(hedge_incident_to_src,tm)==face(hedge_opp,tm));
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
index 26881b21f61..0cbd943d517 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
@@ -223,6 +223,9 @@ struct Default_visitor{
   void before_face_copy(face_descriptor /*f_old*/, TriangleMesh&, TriangleMesh&){}
   void after_face_copy(face_descriptor /*f_old*/, TriangleMesh&,
                        face_descriptor /* f_new */, TriangleMesh&){}
+  void before_edge_split(halfedge_descriptor /* h */, const TriangleMesh& /* tm */){}
+  void edge_split(halfedge_descriptor /* hnew */, const TriangleMesh& /* tm */){}
+  void after_edge_split(){}
 
 // calls commented in the code and probably incomplete due to the migration
 // see NODE_VISITOR_TAG

From 0abbeb303f9f4ac20ca8ee8e4d3294d82978b6df Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 2 Nov 2020 09:38:39 +0100
Subject: [PATCH 096/317] add missing typedef

---
 .../internal/Corefinement/face_graph_utils.h                     | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
index 0cbd943d517..c9eafb3930b 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/face_graph_utils.h
@@ -215,6 +215,7 @@ template <class TriangleMesh>
 struct Default_visitor{
   typedef boost::graph_traits<TriangleMesh> GT;
   typedef typename GT::face_descriptor face_descriptor;
+  typedef typename GT::halfedge_descriptor halfedge_descriptor;
 
   void before_subface_creations(face_descriptor /*f_old*/,TriangleMesh&){}
   void after_subface_creations(TriangleMesh&){}

From 21f64efbdcdac5a0896f2163e21d921992cc7b26 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 9 Nov 2020 18:25:13 +0100
Subject: [PATCH 097/317] add non-documented visitor function calls

---
 .../Corefinement/Face_graph_output_builder.h  | 118 +++++++++++++++++-
 1 file changed, 117 insertions(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
index 01cdaa446b3..9aacc6939d3 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
@@ -26,6 +26,7 @@
 #include <CGAL/Default.h>
 
 #include <boost/dynamic_bitset.hpp>
+#include <boost/mpl/has_xxx.hpp>
 
 // required to handle the multiple types of edge constrained maps
 // for the different output types. CGAL_COREF_FUNCTION_CALL_DEF
@@ -57,13 +58,72 @@ enum Boolean_operation_type {UNION = 0, INTERSECTION,
 namespace PMP=Polygon_mesh_processing;
 namespace params=PMP::parameters;
 
+// extra functions for handling non-documented functions for user visitors
+// with no extra functions
+BOOST_MPL_HAS_XXX_TRAIT_NAMED_DEF(Has_extra_functions,
+                                  Has_extra_functions,
+                                  false)
+
+template <class UserVisitor, class TriangleMesh, class FaceIndexMap>
+void export_flags(UserVisitor&, boost::mpl::bool_<false>,
+                  FaceIndexMap, const std::vector<std::size_t>&,
+                  const boost::dynamic_bitset<>&,
+                  const boost::dynamic_bitset<>&,
+                  const boost::dynamic_bitset<>&,
+                  const boost::dynamic_bitset<>&,
+                  TriangleMesh&)
+{}
+
+template <class UserVisitor, class halfedge_descriptor>
+void register_halfedge_pair(UserVisitor&, boost::mpl::bool_<false>,
+                            halfedge_descriptor, halfedge_descriptor,
+                            bool, bool,
+                            bool, bool,
+                            bool=false, bool=false,
+                            bool=false, bool=false)
+{}
+
+// with extra functions (forward the call to the visitor)
+template <class UserVisitor, class TriangleMesh, class FaceIndexMap>
+void export_flags(UserVisitor& visitor, boost::mpl::bool_<true>,
+                  FaceIndexMap fim, const std::vector<std::size_t>& tm_patch_ids,
+                  const boost::dynamic_bitset<>&  is_patch_inside_other_tm,
+                  const boost::dynamic_bitset<>& coplanar_patches_of_tm,
+                  const boost::dynamic_bitset<>& coplanar_patches_of_tm_for_union_and_intersection,
+                  const boost::dynamic_bitset<>& patch_status_not_set,
+                  TriangleMesh& tm)
+{
+  visitor.export_flags(fim, tm_patch_ids,
+                       is_patch_inside_other_tm,
+                       coplanar_patches_of_tm,
+                       coplanar_patches_of_tm_for_union_and_intersection,
+                       patch_status_not_set,
+                       tm);
+}
+
+template <class UserVisitor, class halfedge_descriptor>
+void register_halfedge_pair(UserVisitor& visitor, boost::mpl::bool_<true>,
+                            halfedge_descriptor h1, halfedge_descriptor h2,
+                            bool q1_is_between_p1p2, bool q2_is_between_p1p2,
+                            bool p1_is_between_q1q2, bool p2_is_between_q1q2,
+                            bool p1_is_coplanar=false, bool p2_is_coplanar=false,
+                            bool q1_is_coplanar=false, bool q2_is_coplanar=false)
+{
+  visitor.register_halfedge_pair(h1, h2,
+                                 q1_is_between_p1p2, q2_is_between_p1p2,
+                                 p1_is_between_q1q2, p2_is_between_q1q2,
+                                 p1_is_coplanar, p2_is_coplanar,
+                                 q1_is_coplanar, q2_is_coplanar);
+}
+
+
 template <class TriangleMesh,
           class VertexPointMap1,
           class VertexPointMap2,
           class VpmOutTuple,
           class FaceIdMap1,
           class FaceIdMap2,
-          class Kernel_=Default,
+          class Kernel_ = Default,
           class EdgeMarkMapBind_  = Default,
           class EdgeMarkMapTuple_ = Default,
           class UserVisitor_      = Default>
@@ -86,6 +146,7 @@ class Face_graph_output_builder
                   No_mark<TriangleMesh> > >::type     EdgeMarkMapTuple;
   typedef typename Default::Get<
     UserVisitor_, Default_visitor<TriangleMesh> >::type  UserVisitor;
+  typedef typename Has_extra_functions<UserVisitor>::type VUNDF; //shortcut
 
 // graph_traits typedefs
   typedef TriangleMesh                                              TM;
@@ -483,6 +544,11 @@ public:
     boost::dynamic_bitset<> tm1_coplanar_faces(num_faces(tm1), 0);
     boost::dynamic_bitset<> tm2_coplanar_faces(num_faces(tm2), 0);
 
+    const bool used_to_classify_patches =  requested_output[UNION]==boost::none &&
+                                        requested_output[TM1_MINUS_TM2]==boost::none &&
+                                        requested_output[TM2_MINUS_TM1]==boost::none &&
+                                        requested_output[INTERSECTION]==boost::none;
+
     // In the following loop we filter intersection edges that are strictly inside a patch
     // of coplanar facets so that we keep only the edges on the border of the patch.
     // This is not optimal and in an ideal world being able to find the outside edges
@@ -498,8 +564,10 @@ public:
     for (;epp_it!=epp_it_end;)
     {
       halfedge_descriptor h1  = epp_it->second.first[&tm1];
+      CGAL_assertion( h1 != GT::null_halfedge());
       halfedge_descriptor h1_opp = opposite(h1, tm1);
       halfedge_descriptor h2 = epp_it->second.first[&tm2];
+      CGAL_assertion( h2 != GT::null_halfedge());
       halfedge_descriptor h2_opp = opposite(h2, tm2);
 
       //vertices from tm1
@@ -861,6 +929,12 @@ public:
               p1, p2, q2,
               vpm1, vpm2,
               nodes);
+
+            register_halfedge_pair(user_visitor, VUNDF(),
+                                   h1, h2,
+                                   false, q2_is_between_p1p2, false, !q2_is_between_p1p2,
+                                   true, false, true, false);
+
             if ( q2_is_between_p1p2 ) is_patch_inside_tm1.set(patch_id_q2); //case 1
             else is_patch_inside_tm2.set(patch_id_p2); //case 2
             continue;
@@ -882,6 +956,12 @@ public:
                 p1, p2, q1,
                 vpm1, vpm2,
                 nodes);
+
+              register_halfedge_pair(user_visitor, VUNDF(),
+                                     h1, h2,
+                                     q1_is_between_p1p2, false, false, !q1_is_between_p1p2,
+                                     true, false, false, true);
+
               if ( q1_is_between_p1p2 )
               { // case 3
                 is_patch_inside_tm1.set(patch_id_q1);
@@ -906,6 +986,12 @@ public:
                   p1, p2, q2,
                   vpm1, vpm2,
                   nodes);
+
+                register_halfedge_pair(user_visitor, VUNDF(),
+                                       h1, h2,
+                                       false, q2_is_between_p1p2, !q2_is_between_p1p2, false,
+                                       false, true, true, false);
+
                 if ( q2_is_between_p1p2 )
                 {  //case 5
                   is_patch_inside_tm1.set(patch_id_q2);
@@ -931,6 +1017,12 @@ public:
                     p1, p2, q1,
                     vpm1, vpm2,
                     nodes);
+
+                  register_halfedge_pair(user_visitor, VUNDF(),
+                                         h1, h2,
+                                         q1_is_between_p1p2, false, !q1_is_between_p1p2, false,
+                                         false, true, false, true);
+
                   if ( q1_is_between_p1p2 ) is_patch_inside_tm1.set(patch_id_q1);  //case 7
                   else is_patch_inside_tm2.set(patch_id_p1); //case 8
                   continue;
@@ -981,6 +1073,7 @@ public:
                 vpm2, vpm1,
                 nodes);
               if (!p1_is_between_q1q2){
+                register_halfedge_pair(user_visitor, VUNDF(), h1, h2, true, true, false, false);
                 // case (a4)
                 // poly_first  - poly_second            = p1q1 U q2p2
                 // poly_second - poly_first             = {0}
@@ -992,6 +1085,7 @@ public:
                 impossible_operation.set(TM1_MINUS_TM2); // tm1-tm2 is non-manifold
               }
               else{
+                register_halfedge_pair(user_visitor, VUNDF(), h1, h2, true, true, true, true);
                 // case (b4)
                 // poly_first  - poly_second            = q2q1
                 // poly_second - poly_first             = p2p1
@@ -1010,6 +1104,7 @@ public:
             }
             else
             {
+              register_halfedge_pair(user_visitor, VUNDF(), h1, h2, true, false, false, true);
               //case (c4)
               // poly_first  - poly_second            = p1q1
               // poly_second - poly_first             = p2q2
@@ -1034,6 +1129,7 @@ public:
           {
             if( q2_is_between_p1p2 )
             {
+              register_halfedge_pair(user_visitor, VUNDF(), h1, h2, false, true, true, false);
               //case (d4)
               // poly_first  - poly_second            = q2p2
               // poly_second - poly_first             = q1p1
@@ -1063,6 +1159,7 @@ public:
                 vpm2, vpm1,
                 nodes);
               if (!p1_is_between_q1q2){
+                register_halfedge_pair(user_visitor, VUNDF(), h1, h2, false, false, false, false);
                 //case (e4)
                 // poly_first  - poly_second            = p1p2
                 // poly_second - poly_first             = q1q2
@@ -1074,6 +1171,7 @@ public:
                 impossible_operation.set(UNION); // tm1 U tm2 is non-manifold
               }
               else{
+                register_halfedge_pair(user_visitor, VUNDF(), h1, h2, false, false, true, true);
                 //case (f4)
                 is_patch_inside_tm2.set(patch_id_p1);
                 is_patch_inside_tm2.set(patch_id_p2);
@@ -1091,6 +1189,24 @@ public:
         }
     }
 
+    if (used_to_classify_patches)
+    {
+      export_flags( user_visitor, VUNDF(),fids1, tm1_patch_ids,
+                    is_patch_inside_tm2,
+                    coplanar_patches_of_tm1,
+                    coplanar_patches_of_tm1_for_union_and_intersection,
+                    patch_status_not_set_tm1,
+                    tm1);
+      export_flags( user_visitor, VUNDF(),
+                    fids2, tm2_patch_ids,
+                    is_patch_inside_tm1,
+                    coplanar_patches_of_tm2,
+                    coplanar_patches_of_tm2_for_union_and_intersection,
+                    patch_status_not_set_tm2,
+                    tm2);
+      return;
+    }
+
     // (2-b) Classify isolated surface patches wrt the other mesh
     // in case a mesh is not closed, any cc of the second mesh that is
     // free from intersection is considered as outside/inside

From 06fbadbd103ed2d476df55e00d6534fec4c0304d Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 10 Nov 2020 11:28:41 +0100
Subject: [PATCH 098/317] add extra code to handle boundary conditions

---
 .../Corefinement/Face_graph_output_builder.h  | 182 +++++++++++++++---
 .../internal/Corefinement/predicates.h        |  31 +++
 2 files changed, 184 insertions(+), 29 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
index 9aacc6939d3..98ffe1a347f 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
@@ -519,8 +519,15 @@ public:
     const boost::dynamic_bitset<>& is_node_of_degree_one,
     const Mesh_to_map_node&)
   {
-    CGAL_assertion( vertex_to_node_id1.size() == vertex_to_node_id2.size());
-    CGAL_assertion( vertex_to_node_id1.size() == nodes.size());
+    const bool used_to_classify_patches =  requested_output[UNION]==boost::none &&
+                                           requested_output[TM1_MINUS_TM2]==boost::none &&
+                                           requested_output[TM2_MINUS_TM1]==boost::none &&
+                                           requested_output[INTERSECTION]==boost::none;
+
+    CGAL_assertion( vertex_to_node_id1.size() <= nodes.size() );
+    CGAL_assertion( vertex_to_node_id2.size() <= nodes.size() );
+    CGAL_assertion(used_to_classify_patches || vertex_to_node_id1.size() == vertex_to_node_id2.size());
+    CGAL_assertion(used_to_classify_patches || vertex_to_node_id1.size() == nodes.size());
 
     Intersection_edge_map& intersection_edges1 = mesh_to_intersection_edges[&tm1];
     Intersection_edge_map& intersection_edges2 = mesh_to_intersection_edges[&tm2];
@@ -544,11 +551,6 @@ public:
     boost::dynamic_bitset<> tm1_coplanar_faces(num_faces(tm1), 0);
     boost::dynamic_bitset<> tm2_coplanar_faces(num_faces(tm2), 0);
 
-    const bool used_to_classify_patches =  requested_output[UNION]==boost::none &&
-                                        requested_output[TM1_MINUS_TM2]==boost::none &&
-                                        requested_output[TM2_MINUS_TM1]==boost::none &&
-                                        requested_output[INTERSECTION]==boost::none;
-
     // In the following loop we filter intersection edges that are strictly inside a patch
     // of coplanar facets so that we keep only the edges on the border of the patch.
     // This is not optimal and in an ideal world being able to find the outside edges
@@ -784,25 +786,66 @@ public:
           }
           else
           {
-            //Nothing allowed
             if (!used_to_clip_a_surface)
             {
+              if (used_to_classify_patches)
+              {
+                Node_id index_o_prime = ids.first, index_o = ids.second;
+                if( is_border(h1, tm1) )
+                {
+                  h1 = opposite(h1, tm1);
+                  h2 = opposite(h2, tm2);
+                  std::swap(index_o_prime, index_o);
+                }
+
+                vertex_descriptor p = target(next(h1,tm1),tm1);
+                vertex_descriptor q= target(next(h2,tm2),tm2);
+                Node_id index_p = get_node_id(p, vertex_to_node_id1);
+                Node_id index_q = get_node_id(q, vertex_to_node_id2);
+
+                std::size_t patch_id_p=tm1_patch_ids[ get(fids1, face(h1,tm1)) ];
+                std::size_t patch_id_q=tm2_patch_ids[ get(fids2, face(h2,tm2)) ];
+
+                //indicates that patch status will be updated
+                patch_status_not_set_tm1.reset(patch_id_p);
+                patch_status_not_set_tm2.reset(patch_id_q);
+
+                if (coplanar_patches_of_tm1.test(patch_id_p) && coplanar_patches_of_tm2.test(patch_id_q))
+                {
+                  coplanar_patches_of_tm1_for_union_and_intersection.set(patch_id_p);
+                  coplanar_patches_of_tm2_for_union_and_intersection.set(patch_id_q);
+                }
+                else
+                {
+                  if ( p_is_below_q(index_o_prime, index_o,
+                                    index_p, index_q, p, q,
+                                    vpm1, vpm2,
+                                    nodes) )
+                    is_patch_inside_tm2.set(patch_id_p);
+                  else
+                    is_patch_inside_tm1.set(patch_id_q);
+                }
+              }
+              else
+              {
+                //Nothing allowed
 #ifdef CGAL_COREFINEMENT_DEBUG
-              std::cout << "  Non-manifold edge case 1\n";
+                std::cout << "  Non-manifold edge case 1\n";
 #endif
-              impossible_operation.set();
-              return;
+                impossible_operation.set();
+                return;
+              }
             }
           }
         }
         else
         {
-          //Ambiguous, we can do nothing
-          if (!used_to_clip_a_surface)
+          if (!used_to_clip_a_surface && !used_to_classify_patches)
           {
 #ifdef CGAL_COREFINEMENT_DEBUG
               std::cout << "  Non-manifold edge case 2\n";
 #endif
+            //Ambiguous, we can do nothing
             impossible_operation.set();
             return;
           }
@@ -834,20 +877,38 @@ public:
             std::size_t patch_id_q1=tm2_patch_ids[ get(fids2, face(opposite(h2,tm2),tm2)) ];
             std::size_t patch_id_q2=tm2_patch_ids[ get(fids2, face(h2,tm2)) ];
 
-            //indicates that patch status will be updated
-            patch_status_not_set_tm1.reset(patch_id_p);
-            patch_status_not_set_tm2.reset(patch_id_q1);
-            patch_status_not_set_tm2.reset(patch_id_q2);
+            if (index_p!=index_q1 && index_p!=index_q2)
+            {
+              //indicates that patch status will be updated
+              patch_status_not_set_tm1.reset(patch_id_p);
+              patch_status_not_set_tm2.reset(patch_id_q1);
+              patch_status_not_set_tm2.reset(patch_id_q2);
 
-            bool p_is_between_q1q2 = sorted_around_edge(
-                ids.first, ids.second,
-                index_q1, index_q2, index_p,
-                q1, q2, p,
-                vpm2, vpm1,
-                nodes);
+              bool p_is_between_q1q2 = sorted_around_edge(
+                  ids.first, ids.second,
+                  index_q1, index_q2, index_p,
+                  q1, q2, p,
+                  vpm2, vpm1,
+                  nodes);
 
-            if (p_is_between_q1q2)
-              is_patch_inside_tm2.set(patch_id_p);
+              if (p_is_between_q1q2)
+              {
+                is_patch_inside_tm2.set(patch_id_p);
+                // locally does not really make sense globally
+                if (h == h1) // i.e. p2
+                  is_patch_inside_tm1.set(patch_id_q2);
+                else
+                  is_patch_inside_tm1.set(patch_id_q1);
+              }
+              else
+              {
+                // locally does not really make sense globally
+                if (h == h1) // i.e. p2
+                  is_patch_inside_tm1.set(patch_id_q1);
+                else
+                  is_patch_inside_tm1.set(patch_id_q2);
+              }
+            }
           }
         }
       }
@@ -855,12 +916,75 @@ public:
         if ( is_border_edge(h2,tm2) )
         {
           CGAL_assertion(!used_to_clip_a_surface);
-          //Ambiguous, we do nothing
+          if (!used_to_classify_patches)
+          {
 #ifdef CGAL_COREFINEMENT_DEBUG
-              std::cout << "  Non-manifold edge case 3\n";
+            std::cout << "  Non-manifold edge case 3\n";
 #endif
-          impossible_operation.set();
-          return;
+            impossible_operation.set();
+            return;
+          }
+          else
+          {
+            //Sort the three triangle faces around their common edge
+            //  we assume that the exterior of the volume is indicated by
+            //  counterclockwise oriented faces
+            //  (corrected by is_tmi_inside_tmi).
+            halfedge_descriptor h = is_border(h2, tm2) ? opposite(h2, tm2) : h2;
+            vertex_descriptor q = target(next(h,tm2),tm2);
+            //    when looking from the side of indices.second,
+            //    the interior of the first triangle mesh is described
+            //    by turning counterclockwise from p1 to p2
+            vertex_descriptor p1=target(next(opposite(h1,tm1),tm1),tm1);
+            vertex_descriptor p2=target(next(h1,tm1),tm1);
+            //    when looking from the side of indices.second,
+            //    the interior of the second volume is described
+            //    by turning from p1 to p2
+
+            //check if the third point of each triangular face is an original point (stay NID)
+            //or a intersection point (in that case we need the index of the corresponding node to
+            //have the exact value of the point)
+            Node_id index_q = get_node_id(q, vertex_to_node_id2);
+            Node_id index_p1 = get_node_id(p1, vertex_to_node_id1);
+            Node_id index_p2 = get_node_id(p2, vertex_to_node_id1);
+
+            std::size_t patch_id_q=tm2_patch_ids[ get(fids2, face(h,tm2)) ];
+            std::size_t patch_id_p1=tm1_patch_ids[ get(fids1, face(opposite(h1,tm1),tm1)) ];
+            std::size_t patch_id_p2=tm1_patch_ids[ get(fids1, face(h1,tm1)) ];
+
+            if (index_q!=index_p1 && index_q!=index_p2)
+            {
+              //indicates that patch status will be updated
+              patch_status_not_set_tm2.reset(patch_id_q);
+              patch_status_not_set_tm1.reset(patch_id_p1);
+              patch_status_not_set_tm1.reset(patch_id_p2);
+
+              bool q_is_between_p1p2 = sorted_around_edge(
+                  ids.first, ids.second,
+                  index_p1, index_p2, index_q,
+                  p1, p2, q,
+                  vpm1, vpm2,
+                  nodes);
+
+              if (q_is_between_p1p2)
+              {
+                is_patch_inside_tm1.set(patch_id_q);
+                // locally does not really make sense globally
+                if (h == h2) // i.e. q2
+                  is_patch_inside_tm2.set(patch_id_p2);
+                else
+                  is_patch_inside_tm2.set(patch_id_p1);
+              }
+              else
+              {
+                // locally does not really make sense globally
+                if (h == h2) // i.e. q2
+                  is_patch_inside_tm2.set(patch_id_p1);
+                else
+                  is_patch_inside_tm2.set(patch_id_p2);
+              }
+            }
+          }
         }
         else
         {
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/predicates.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/predicates.h
index 4b25b21e472..f0f65b62ee7 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/predicates.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/predicates.h
@@ -109,6 +109,16 @@ bool  sorted_around_edge(
            || ( s2 != NEGATIVE ); //true if the angle p1,o,q or the angle q,o,p2 is smaller than or equal to Pi
 }
 
+template <class Kernel>
+bool  p_is_below_q(const typename Kernel::Point_3& o_prime, const typename Kernel::Point_3& o,
+                   const typename Kernel::Point_3& p, const typename Kernel::Point_3& q)
+{
+  CGAL::Orientation res = CGAL::orientation(o_prime, o, p, q);
+  CGAL_assertion(res != CGAL::COPLANAR);
+
+  return res == CGAL::POSITIVE;
+}
+
 template <class Kernel>
 bool  are_triangles_coplanar_same_side(
     const typename Kernel::Point_3& o_prime, const typename Kernel::Point_3& o,
@@ -167,6 +177,27 @@ bool sorted_around_edge( Node_id o_prime_index,
                            : nodes.exact_node(q_index ) );
 }
 
+template <class Node_id, class Node_vector, class vertex_descriptor, class VPMP, class VPMQ>
+bool p_is_below_q( Node_id o_prime_index,
+                     Node_id o_index,
+                     Node_id p_index,
+                     Node_id q_index,
+                     vertex_descriptor p,
+                     vertex_descriptor q,
+                     const VPMP& vpm_p,
+                     const VPMQ& vpm_q,
+                     const Node_vector& nodes)
+{
+  const Node_id NID((std::numeric_limits<Node_id>::max)());
+  return p_is_below_q<typename Node_vector::Exact_kernel>(
+           nodes.exact_node(o_prime_index),
+           nodes.exact_node(o_index),
+           p_index == NID ? nodes.to_exact(get(vpm_p,p))
+                           : nodes.exact_node(p_index),
+           q_index == NID ? nodes.to_exact(get(vpm_q,q))
+                           : nodes.exact_node(q_index) );
+}
+
 
 } } } // CGAL::Polygon_mesh_processing::Corefinement
 

From d3e54b9b9925c49fffe9d97b2ad3d6dc536d9868 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 10 Nov 2020 13:21:31 +0100
Subject: [PATCH 099/317] add new named parameter

---
 BGL/include/CGAL/boost/graph/parameters_interface.h | 1 +
 BGL/test/BGL/test_cgal_bgl_named_params.cpp         | 5 ++++-
 2 files changed, 5 insertions(+), 1 deletion(-)

diff --git a/BGL/include/CGAL/boost/graph/parameters_interface.h b/BGL/include/CGAL/boost/graph/parameters_interface.h
index 14bdb1bdbca..c9c9ba6f52b 100644
--- a/BGL/include/CGAL/boost/graph/parameters_interface.h
+++ b/BGL/include/CGAL/boost/graph/parameters_interface.h
@@ -103,6 +103,7 @@ CGAL_add_named_parameter(volume_threshold_t, volume_threshold, volume_threshold)
 CGAL_add_named_parameter(dry_run_t, dry_run, dry_run)
 CGAL_add_named_parameter(do_not_modify_t, do_not_modify, do_not_modify)
 CGAL_add_named_parameter(non_manifold_feature_map_t, non_manifold_feature_map, non_manifold_feature_map)
+CGAL_add_named_parameter(filter_t, filter, filter)
 
 // List of named parameters that we use in the package 'Surface Mesh Simplification'
 CGAL_add_named_parameter(get_cost_policy_t, get_cost_policy, get_cost)
diff --git a/BGL/test/BGL/test_cgal_bgl_named_params.cpp b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
index 887a9098c13..dde2ad90041 100644
--- a/BGL/test/BGL/test_cgal_bgl_named_params.cpp
+++ b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
@@ -100,6 +100,7 @@ void test(const NamedParameters& np)
   assert(get_parameter(np, CGAL::internal_np::do_not_modify).v == 65);
   assert(get_parameter(np, CGAL::internal_np::maximum_number_of_faces).v == 78910);
   assert(get_parameter(np, CGAL::internal_np::non_manifold_feature_map).v == 60);
+  assert(get_parameter(np, CGAL::internal_np::filter).v == 61);
 
     // Named parameters that we use in the package 'Surface Mesh Simplification'
   assert(get_parameter(np, CGAL::internal_np::get_cost_policy).v == 34);
@@ -209,6 +210,7 @@ void test(const NamedParameters& np)
   check_same_type<64>(get_parameter(np, CGAL::internal_np::do_simplify_border));
   check_same_type<78910>(get_parameter(np, CGAL::internal_np::maximum_number_of_faces));
   check_same_type<60>(get_parameter(np, CGAL::internal_np::non_manifold_feature_map));
+  check_same_type<61>(get_parameter(np, CGAL::internal_np::filter));
 
     // Named parameters that we use in the package 'Surface Mesh Simplification'
   check_same_type<34>(get_parameter(np, CGAL::internal_np::get_cost_policy));
@@ -327,7 +329,8 @@ int main()
                          .throw_on_self_intersection(A<43>(43))
                          .clip_volume(A<44>(44))
                          .use_compact_clipper(A<45>(45))
-                         .non_manifold_feature_map(A<60>(60))
+                         .non_manifold_feature_map(A<60>(60)
+                         .filter(A<61>(61))
                          .apply_per_connected_component(A<46>(46))
                          .output_iterator(A<47>(47))
                          .erase_all_duplicates(A<48>(48))

From e86b24e2c4c4bcc6802934630fba3b3e368ba599 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 10 Nov 2020 13:46:22 +0100
Subject: [PATCH 100/317] add an np to filter some self-intersections

---
 .../repair_self_intersections.h                   | 15 ++++++++++++++-
 1 file changed, 14 insertions(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
index ce3e4dfeeab..c6df03d1aa3 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
@@ -1881,6 +1881,18 @@ bool remove_self_intersections(const FaceRange& face_range,
   // detect_feature_pp NP (unused for now)
   const double weak_dihedral_angle = 0.; // choose_parameter(get_parameter(np, internal_np::weak_dihedral_angle), 20.);
 
+  struct Return_false {
+    bool operator()(std::pair<face_descriptor, face_descriptor>) const { return false; }
+  };
+
+  typedef typename internal_np::Lookup_named_param_def <
+    internal_np::filter_t,
+    NamedParameters,
+    Return_false // default: keep all
+  > ::type  Output_iterator_predicate;
+  Output_iterator_predicate out_it_predicates
+    = choose_parameter<Output_iterator_predicate>(get_parameter(np, internal_np::filter));
+
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
   std::cout << "DEBUG: Starting remove_self_intersections, is_valid(tmesh)? " << is_valid_polygon_mesh(tmesh) << "\n";
   std::cout << "\tpreserve_genus: " << preserve_genus << std::endl;
@@ -1909,7 +1921,8 @@ bool remove_self_intersections(const FaceRange& face_range,
 
       // TODO : possible optimization to reduce the range to check with the bbox
       // of the previous patches or something.
-      self_intersections(working_face_range, tmesh, std::back_inserter(self_inter));
+      self_intersections(working_face_range, tmesh,
+                         CGAL::filter_output_iterator(std::back_inserter(self_inter), out_it_predicates));
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
       std::cout << self_inter.size() << " intersecting pairs" << std::endl;
 #endif

From aecc7c7ee735cdefb692fe8aa1a552b71cfad62b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 10 Nov 2020 14:44:32 +0100
Subject: [PATCH 101/317] improve debug

---
 .../repair_self_intersections.h               | 56 ++++++++++---------
 1 file changed, 31 insertions(+), 25 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
index c6df03d1aa3..43569b3ca96 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
@@ -736,7 +736,7 @@ bool construct_tentative_hole_patch(std::vector<typename boost::graph_traits<Tri
   }
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT
-  std::cout << hole_faces.size() << " faces in the patch" << std::endl;
+  std::cout << "  DEBUG: " << hole_faces.size() << " faces in the patch" << std::endl;
   std::vector<std::vector<Point> > to_dump;
   for(const Face_indices& face : hole_faces)
   {
@@ -1393,8 +1393,13 @@ remove_self_intersections_one_step(std::set<typename boost::graph_traits<Triangl
 
   std::set<face_descriptor> faces_to_remove_copy = faces_to_remove;
 
+#if defined(CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG) || defined(CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT)
+  static int call_id = -1;
+  ++call_id;
+#endif
+
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
-  std::cout << "##### running remove_self_intersections_one_step, step " << step
+  std::cout << "##### running remove_self_intersections_one_step (#" << call_id << "), step " << step
             << " with " << faces_to_remove.size() << " intersecting faces\n";
 #endif
 
@@ -1405,18 +1410,24 @@ remove_self_intersections_one_step(std::set<typename boost::graph_traits<Triangl
   bool topology_issue = false;
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
-  std::cout << "  DEBUG: is_valid in one_step(tmesh)? ";
+  std::cout << "  DEBUG: is_valid in one_step(tmesh)? " << is_valid_polygon_mesh(tmesh) << "\n";
   std::cout.flush();
 
   unsolved_self_intersections = 0;
 #endif
 
   CGAL_precondition(is_valid_polygon_mesh(tmesh));
+#if defined(CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG) || defined(CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT)
+  int cc_id = -1;
+#endif
 
   while(!faces_to_remove.empty())
   {
+#if defined(CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG) || defined(CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT)
+    ++cc_id;
+#endif
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
-    std::cout << "  DEBUG: --------------- " << faces_to_remove.size() << " faces to remove (step: " << step << ")\n";
+    std::cout << "  DEBUG: --------------- Removal per CC: " << faces_to_remove.size() << " remaining faces to remove (CC: " << cc_id << " - step: " << step << ")\n";
 #endif
 
     // Process a connected component of faces to remove.
@@ -1443,22 +1454,20 @@ remove_self_intersections_one_step(std::set<typename boost::graph_traits<Triangl
     }
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
-    std::cout << "  DEBUG: " << cc_faces.size() << " faces in CC\n";
+    std::cout << "  DEBUG: " << cc_faces.size() << " faces in the current CC\n";
     std::cout << "  DEBUG: first face: " << get(vpm, source(halfedge(*(cc_faces.begin()), tmesh), tmesh)) << " "
               << get(vpm, target(halfedge(*(cc_faces.begin()), tmesh), tmesh)) << " "
               << get(vpm, target(next(halfedge(*(cc_faces.begin()), tmesh), tmesh), tmesh)) << "\n";
 #endif
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT
-    static int ini_cc_id = 0;
-    std::stringstream ini_oss, mesh_oss;
-    std::cout << "Output initial CC #" << ini_cc_id << std::endl;
-    ini_oss << "results/initial_cc_" << ini_cc_id << ".off" << std::ends;
-    dump_cc(cc_faces, tmesh, ini_oss.str().c_str());
+    std::string fname = "results/initial_r_"+std::to_string(call_id)+"_cc_" + std::to_string(cc_id)+"_s_"+std::to_string(step)+".off";
+    std::cout << "  DEBUG: Writing initial CC #" << cc_id << " in " << fname << std::endl;
+    dump_cc(cc_faces, tmesh, fname);
 
-    mesh_oss << "results/mesh_at_cc_ " << ini_cc_id++ << ".off" << std::ends;
-    std::ofstream mout(mesh_oss.str().c_str());
-    mout << std::setprecision(17) << tmesh;
+    fname="results/mesh_at_r_"+std::to_string(call_id)+"_cc_"+std::to_string(cc_id)+"_s_"+std::to_string(step)+".off";
+    std::cout << "  DEBUG: Writing current mesh in " << fname << std::endl;
+    std::ofstream mout(fname);    mout << std::setprecision(17) << tmesh;
     mout.close();
 #endif
 
@@ -1471,11 +1480,9 @@ remove_self_intersections_one_step(std::set<typename boost::graph_traits<Triangl
     }
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT
-    static int exp_cc_id = 0;
-    std::stringstream oss;
-    std::cout << "Output expanded CC #" << exp_cc_id << std::endl;
-    oss << "results/expanded_cc_" << exp_cc_id++ << ".off" << std::ends;
-    dump_cc(cc_faces, tmesh, oss.str().c_str());
+    fname="results/expanded_r_"+std::to_string(call_id)+"_cc_"+std::to_string(cc_id)+"_s_"+std::to_string(step)+".off";
+    std::cout << "  DEBUG: Writing expanded CC #" << cc_id << " in " << fname << std::endl;
+    dump_cc(cc_faces, tmesh, fname);
 #endif
 
     // try to compactify the selection region by also selecting all the faces included
@@ -1531,7 +1538,7 @@ remove_self_intersections_one_step(std::set<typename boost::graph_traits<Triangl
     }
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
-    std::cout << "  DEBUG: " << cc_faces.size() << " faces in expanded CC\n";
+    std::cout << "  DEBUG: " << cc_faces.size() << " faces in expanded and compactified CC\n";
 #endif
 
     // remove faces from the set to process
@@ -1539,10 +1546,9 @@ remove_self_intersections_one_step(std::set<typename boost::graph_traits<Triangl
       faces_to_remove.erase(f);
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT
-    std::stringstream ex_oss;
-    std::cout << "Output FULLY expanded CC #" << exp_cc_id-1 << std::endl;
-    ex_oss << "results/fully_expanded_cc_" << exp_cc_id-1 << ".off" << std::ends;
-    dump_cc(cc_faces, tmesh, ex_oss.str().c_str());
+    fname="results/expanded_compactified_r_"+std::to_string(call_id)+"_cc_"+std::to_string(cc_id)+"_s_"+std::to_string(step)+".off";
+    std::cout << "  DEBUG: Writing expanded and compactified CC #" << cc_id << " in " << fname << std::endl;
+    dump_cc(cc_faces, tmesh, fname);
 #endif
 
     //Check for non-manifold vertices in the selection and remove them by selecting all incident faces:
@@ -1888,7 +1894,7 @@ bool remove_self_intersections(const FaceRange& face_range,
   typedef typename internal_np::Lookup_named_param_def <
     internal_np::filter_t,
     NamedParameters,
-    Return_false // default: keep all
+    Return_false//default
   > ::type  Output_iterator_predicate;
   Output_iterator_predicate out_it_predicates
     = choose_parameter<Output_iterator_predicate>(get_parameter(np, internal_np::filter));
@@ -1924,7 +1930,7 @@ bool remove_self_intersections(const FaceRange& face_range,
       self_intersections(working_face_range, tmesh,
                          CGAL::filter_output_iterator(std::back_inserter(self_inter), out_it_predicates));
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG
-      std::cout << self_inter.size() << " intersecting pairs" << std::endl;
+      std::cout << "  DEBUG: " << self_inter.size() << " intersecting pairs" << std::endl;
 #endif
       for(const Face_pair& fp : self_inter)
       {

From 27965c56e8362da9ee1d2317cc4ec86059c73909 Mon Sep 17 00:00:00 2001
From: Giles Bathgate <giles.bathgate@gmail.com>
Date: Wed, 11 Nov 2020 18:47:09 +0000
Subject: [PATCH 102/317] Move code closer to useage and convert to if

---
 .../include/CGAL/Nef_S2/sphere_predicates.h   | 27 ++++++-------------
 1 file changed, 8 insertions(+), 19 deletions(-)

diff --git a/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h b/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h
index b5655144033..996b47bce23 100644
--- a/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h
+++ b/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h
@@ -84,30 +84,15 @@ int spherical_compare(const Sphere_point<R>& p1,
                       const Sphere_point<R>& p2,
                       int axis, int pos) {
 
-  Sphere_point<R> pS, pN;
-  CGAL_assertion(axis>=0 && axis<=2);
-  switch(axis) {
-  case 0:
-    pS=Sphere_point<R>(0,-1,0);
-    //    pN=Sphere_point<R>(0,1,0);
-    break;
-  case 1:
-    pS=Sphere_point<R>(0,0,1);
-    //    pN=Sphere_point<R>(0,0,-1);
-    break;
-  case 2:
-    pS=Sphere_point<R>(0,-1,0);
-    //    pN=Sphere_point<R>(0,1,0);
-    break;
-  }
   typename R::Direction_3
     d1(p1-CGAL::ORIGIN),
     d2(p2-CGAL::ORIGIN);
   if (d1 == d2) return 0;
+
+  CGAL_assertion(axis>=0 && axis<=2);
   if(is_south(p1,axis) || is_north(p2,axis)) return -1;
   if(is_south(p2,axis) || is_north(p1,axis)) return 1;
-  //  if (d1 == dS || d2 == dN) return -1;
-  //  if (d1 == dN || d2 == dS) return  1;
+
   // now no more special cases
   if (axis==0 && (p1.hx()==static_cast<typename R::RT>(0) &&
                   p2.hx()==static_cast<typename R::RT>(0))) {
@@ -133,7 +118,11 @@ int spherical_compare(const Sphere_point<R>& p1,
     // now s1 == s2
     return s1 * CGAL::spherical_orientation(p1,Sphere_point<R>(0,0,1),p2);
   }
-  int sor = CGAL::spherical_orientation(pS,p1,p2);
+  int sor;
+  if(axis==1)
+    sor = CGAL::spherical_orientation(Sphere_point<R>(0, 0, 1),p1,p2);
+  else
+    sor = CGAL::spherical_orientation(Sphere_point<R>(0,-1, 0),p1,p2);
   if ( sor ) return sor;
   if(axis==0)
     return CGAL::spherical_orientation(Sphere_point<R>(0,0,pos),p2,p1);

From 31e46384ca60408edc32fc0cf9283d61e26738e0 Mon Sep 17 00:00:00 2001
From: Giles Bathgate <giles.bathgate@gmail.com>
Date: Wed, 11 Nov 2020 18:47:25 +0000
Subject: [PATCH 103/317] Remove commented-out code

---
 .../include/CGAL/Nef_S2/sphere_predicates.h   | 92 -------------------
 1 file changed, 92 deletions(-)

diff --git a/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h b/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h
index 996b47bce23..01316e8951f 100644
--- a/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h
+++ b/Nef_S2/include/CGAL/Nef_S2/sphere_predicates.h
@@ -197,98 +197,6 @@ $h^{0+}$ then we return a trivial segment.
 
 */
 
-/*
-template <typename R>
-int Sphere_segment<R>::
-intersection(const CGAL::Sphere_circle<R>& c, std::vector<Sphere_segment<R> >& s) const {
-
-  CGAL_NEF_TRACEN("    intersection "<<*this<<" "<<c);
-  if ( is_degenerate() ) {
-    CGAL_NEF_TRACEN("    degenerate");
-    s.push_back(*this);
-    return 1;
-  }
-
-  CGAL::Oriented_side or1 = c.oriented_side(source());
-  CGAL::Oriented_side or2 = c.oriented_side(target());
-
-  CGAL_NEF_TRACEN("    Orientation " << or1 << " " << or2);
-
-  if ( or1 == CGAL::opposite(or2) && or1 != or2 ) {
-    // it is sure that $s$ intersects $h$ in its interior. the
-    //   question is which part is in the halfspace $h^+$.
-    CGAL_NEF_TRACEN("    opposite");
-    Sphere_point<R> i1 = CGAL::intersection(ptr()->c_,c);
-    if ( !has_on(i1) )
-      i1 = i1.antipode();
-    s.push_back(Sphere_segment<R>(source(),i1,sphere_circle()));
-    s.push_back(Sphere_segment<R>(i1,target(),sphere_circle()));
-    return 2;
-  }
-  else if ( or1 == CGAL::ON_ORIENTED_BOUNDARY &&
-            or2 == CGAL::ON_ORIENTED_BOUNDARY ) {
-    // if both ends of $s$ are part of $h$ then $s$ is a halfcircle or
-    //   $s$ is fully part of $h$.  In this case we have to check if the
-    //   halfcircle is not part of $h^-$.  This can be formulated by an
-    //   orientation test of the point $p$ at the tip of the normal of
-    //   |s.sphere_circle()| with respect to the plane through the
-    //   endpoints of $s$ and the tip of the normal of $h$.
-    CGAL_NEF_TRACEN("    both in plane");
-    s.push_back(*this);
-    return 1;
-  }
-  else if ( or1 != CGAL::ON_NEGATIVE_SIDE &&
-            or2 != CGAL::ON_NEGATIVE_SIDE ) {
-    // this case covers the endpoints of $s$ as part of the closed
-    //   oriented halfspace $h^{0+}$. At least one is part of
-    //   $h^{+}$. If $s$ is not long then the segment must be fully part
-    //   of $h^{0+}$. Otherwise if $s$ is long, then we at both ends
-    //   there are subsegments as part of $h^{0+}$ (one might be
-    //   degenerate).
-    if ( is_long() ) {
-      Sphere_point<R> i1 = CGAL::intersection(ptr()->c_,c);
-      Sphere_point<R> i2 = i1.antipode();
-      Sphere_segment<R> so(i1,i2,sphere_circle());
-      if ( so.has_on(source()) && so.has_on(target()) )
-        std::swap(i1,i2);
-      // now source(),i1,i2,target() are circularly ordered
-      s.push_back(Sphere_segment(source(),i1,sphere_circle()));
-      s.push_back(Sphere_segment(i1,i2,sphere_circle()));
-      s.push_back(Sphere_segment(i2,target(),sphere_circle()));
-      //      CGAL_NEF_TRACEN("    both >= plane, long "<<s1<<s2);
-      return 3;
-    } // now short:
-    CGAL_NEF_TRACEN("    both >= plane, short ");
-    s.push_back(*this);
-    return 1;
-  }
-  else if ( or1 != CGAL::ON_POSITIVE_SIDE &&
-            or2 != CGAL::ON_POSITIVE_SIDE ) {
-    // either both endpoints of $s$ are in $h^-$ or one is in $h^-$
-    //   and one on $h^0$.
-    if ( is_long() ) {
-      Sphere_point<R> i1 = CGAL::intersection(ptr()->c_,c);
-      Sphere_point<R> i2 = i1.antipode();
-      Sphere_segment so(i1,i2,sphere_circle());
-      //      CGAL_NEF_TRACEN("    both <= plane, long"<<so);
-      if ( so.has_on(source()) && so.has_on(target()) )
-      { so = so.complement(); }
-      //      CGAL_NEF_TRACEN("    both <= plane, long"<<so);
-      s.push_back(Sphere_segment(source(),so.source(),sphere_circle()));
-      s.push_back(so);
-      s.push_back(Sphere_segment(so.target(),target(),sphere_circle()));
-      return 3;
-    } // now short
-    CGAL_NEF_TRACEN("    both <= plane, short");
-    s.push_back(*this);
-    return 1;
-  }
-
-  CGAL_error_msg("Oops, forgot some case.");
-  return -1;
-}
-*/
-
 template <typename R>
 int Sphere_segment<R>::
 intersection(const CGAL::Sphere_circle<R>& c,

From 63ad707c02d8630daa61d78fef92fcaf3917b1b0 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Fri, 13 Nov 2020 15:20:54 +0100
Subject: [PATCH 104/317] correctly handle orientation of coplanar patches

---
 .../internal/Corefinement/Face_graph_output_builder.h       | 6 ++++--
 1 file changed, 4 insertions(+), 2 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
index 98ffe1a347f..84e71d5c471 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
@@ -1375,7 +1375,8 @@ public:
             if (tm1_coplanar_faces.test(f_id))
             {
               coplanar_patches_of_tm1.set(patch_id);
-              coplanar_patches_of_tm1_for_union_and_intersection.set(patch_id);
+              if (is_tm1_inside_out == is_tm2_inside_out)
+                coplanar_patches_of_tm1_for_union_and_intersection.set(patch_id);
             }
             else
             {
@@ -1436,7 +1437,8 @@ public:
             if (tm2_coplanar_faces.test(f_id))
             {
               coplanar_patches_of_tm2.set(patch_id);
-              coplanar_patches_of_tm2_for_union_and_intersection.set(patch_id);
+              if (is_tm1_inside_out == is_tm2_inside_out)
+                coplanar_patches_of_tm2_for_union_and_intersection.set(patch_id);
             }
             else
             {

From cbc4360b4375ea3ecdd46bde556d433810a82d81 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 17 Nov 2020 15:01:24 +0100
Subject: [PATCH 105/317] better handling of setting of coplanar flag for
 patches

especially for connected components being entirely a coplanar patch
---
 .../Corefinement/Face_graph_output_builder.h  | 96 +++++++++++--------
 1 file changed, 58 insertions(+), 38 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
index 84e71d5c471..c00c8771b86 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Face_graph_output_builder.h
@@ -87,15 +87,15 @@ void register_halfedge_pair(UserVisitor&, boost::mpl::bool_<false>,
 template <class UserVisitor, class TriangleMesh, class FaceIndexMap>
 void export_flags(UserVisitor& visitor, boost::mpl::bool_<true>,
                   FaceIndexMap fim, const std::vector<std::size_t>& tm_patch_ids,
-                  const boost::dynamic_bitset<>&  is_patch_inside_other_tm,
-                  const boost::dynamic_bitset<>& coplanar_patches_of_tm,
+                  const boost::dynamic_bitset<>& is_patch_inside_other_tm,
+                  const boost::dynamic_bitset<>& coplanar_patches,
                   const boost::dynamic_bitset<>& coplanar_patches_of_tm_for_union_and_intersection,
                   const boost::dynamic_bitset<>& patch_status_not_set,
                   TriangleMesh& tm)
 {
   visitor.export_flags(fim, tm_patch_ids,
                        is_patch_inside_other_tm,
-                       coplanar_patches_of_tm,
+                       coplanar_patches,
                        coplanar_patches_of_tm_for_union_and_intersection,
                        patch_status_not_set,
                        tm);
@@ -547,10 +547,6 @@ public:
     }
     CGAL_assertion(BGL::internal::is_index_map_valid(fids2, num_faces(tm2), faces(tm2)));
 
-    // bitset to identify coplanar faces
-    boost::dynamic_bitset<> tm1_coplanar_faces(num_faces(tm1), 0);
-    boost::dynamic_bitset<> tm2_coplanar_faces(num_faces(tm2), 0);
-
     // In the following loop we filter intersection edges that are strictly inside a patch
     // of coplanar facets so that we keep only the edges on the border of the patch.
     // This is not optimal and in an ideal world being able to find the outside edges
@@ -563,6 +559,14 @@ public:
                                        : epp_it_end;
     boost::unordered_set<edge_descriptor> inter_edges_to_remove1,
                                           inter_edges_to_remove2;
+
+    // Each vector contains a subset of coplanar faces. More particularly only
+    // the coplanar faces incident to an intersection edge. Note
+    // that for coplanar faces, intersection edges are on the input
+    // edges and some coplanar faces might not be seen as they are
+    // the result of the retriangulation.
+    std::vector<face_descriptor> tm1_coplanar_faces, tm2_coplanar_faces;
+
     for (;epp_it!=epp_it_end;)
     {
       halfedge_descriptor h1  = epp_it->second.first[&tm1];
@@ -584,7 +588,7 @@ public:
       Node_id index_q2 = get_node_id(q2, vertex_to_node_id2);
 
       // set boolean for the position of p1 wrt to q1 and q2
-      bool p1_eq_q1=is_border(h1_opp, tm1), p1_eq_q2=p1_eq_q1;
+      bool p1_eq_q1 = false, p1_eq_q2 = false;
       if (!is_border(h1_opp, tm1) && index_p1!=NID)
       {
         if (!is_border(h2_opp, tm2))
@@ -593,8 +597,8 @@ public:
           if (p1_eq_q1)
           {
             //mark coplanar facets if any
-            tm1_coplanar_faces.set(get(fids1, face(h1_opp, tm1)));
-            tm2_coplanar_faces.set(get(fids2, face(h2_opp, tm2)));
+            tm1_coplanar_faces.push_back(face(h1_opp, tm1));
+            tm2_coplanar_faces.push_back(face(h2_opp, tm2));
           }
         }
         if (!is_border(h2, tm2))
@@ -603,14 +607,14 @@ public:
           if (p1_eq_q2)
           {
             //mark coplanar facets if any
-            tm1_coplanar_faces.set(get(fids1, face(h1_opp, tm1)));
-            tm2_coplanar_faces.set(get(fids2, face(h2, tm2)));
+            tm1_coplanar_faces.push_back(face(h1_opp, tm1));
+            tm2_coplanar_faces.push_back(face(h2, tm2));
           }
         }
       }
 
       // set boolean for the position of p2 wrt to q1 and q2
-      bool p2_eq_q1=is_border(h1, tm1), p2_eq_q2=p2_eq_q1;
+      bool p2_eq_q1 = false, p2_eq_q2 = false;
       if (!is_border(h1, tm1) && index_p2!=NID)
       {
         if (!is_border(h2_opp, tm2))
@@ -618,8 +622,8 @@ public:
           p2_eq_q1 = index_p2 == index_q1;
           if (p2_eq_q1){
             //mark coplanar facets if any
-            tm1_coplanar_faces.set(get(fids1, face(h1, tm1)));
-            tm2_coplanar_faces.set(get(fids2, face(h2_opp, tm2)));
+            tm1_coplanar_faces.push_back(face(h1, tm1));
+            tm2_coplanar_faces.push_back(face(h2_opp, tm2));
           }
         }
         if (!is_border(h2, tm2))
@@ -627,8 +631,8 @@ public:
           p2_eq_q2 = index_p2 == index_q2;
           if (p2_eq_q2){
             //mark coplanar facets if any
-            tm1_coplanar_faces.set(get(fids1, face(h1, tm1)));
-            tm2_coplanar_faces.set(get(fids2, face(h2, tm2)));
+            tm1_coplanar_faces.push_back(face(h1, tm1));
+            tm2_coplanar_faces.push_back(face(h2, tm2));
           }
         }
       }
@@ -741,6 +745,21 @@ public:
     patch_status_not_set_tm1.set();
     patch_status_not_set_tm2.set();
 
+    // first set coplanar status of patches using the coplanar faces collected during the
+    // extra intersection edges collected. This is important in the case of full connected components
+    // being coplanar. They have no intersection edges (closed cc) or only intersection edges on the
+    // boundary (non-closed cc)
+    for (face_descriptor f1 : tm1_coplanar_faces)
+    {
+      std::size_t fid1 = get(fids1, f1);
+      coplanar_patches_of_tm1.set(tm1_patch_ids[ fid1 ]);
+    }
+    for (face_descriptor f2 : tm2_coplanar_faces)
+    {
+      std::size_t fid2 = get(fids2, f2);
+      coplanar_patches_of_tm2.set(tm2_patch_ids[ fid2 ]);
+    }
+
     for (typename An_edge_per_polyline_map::iterator
             it=an_edge_per_polyline.begin(),
             it_end=an_edge_per_polyline.end(); it!=it_end;++it)
@@ -773,16 +792,17 @@ public:
           if ( is_border(h1,tm1) != is_border(h2,tm2) )
           {
             //No restriction at this level
-            std::size_t patch_id1 =
-              tm1_patch_ids[ get( fids1, is_border(h1,tm1)
-                                            ? face(opposite(h1,tm1),tm1)
-                                            : face(h1,tm1)) ];
-            std::size_t patch_id2 =
-              tm2_patch_ids[ get( fids2, is_border(h2,tm2)
-                                            ? face(opposite(h2,tm2),tm2)
-                                            : face(h2,tm2)) ];
-            patch_status_not_set_tm1.reset(patch_id1);
-            patch_status_not_set_tm2.reset(patch_id2);
+            std::size_t fid1 =
+              get(fids1, is_border(h1,tm1) ? face(opposite(h1,tm1),tm1)
+                                           : face(h1,tm1));
+            std::size_t fid2 =
+               get(fids2, is_border(h2,tm2) ? face(opposite(h2,tm2),tm2)
+                                            : face(h2,tm2));
+            std::size_t patch_id_p=tm1_patch_ids[ fid1 ];
+            std::size_t patch_id_q=tm2_patch_ids[ fid2 ];
+
+            patch_status_not_set_tm1.reset(patch_id_p);
+            patch_status_not_set_tm2.reset(patch_id_q);
           }
           else
           {
@@ -798,13 +818,10 @@ public:
                   std::swap(index_o_prime, index_o);
                 }
 
-                vertex_descriptor p = target(next(h1,tm1),tm1);
-                vertex_descriptor q= target(next(h2,tm2),tm2);
-                Node_id index_p = get_node_id(p, vertex_to_node_id1);
-                Node_id index_q = get_node_id(q, vertex_to_node_id2);
-
-                std::size_t patch_id_p=tm1_patch_ids[ get(fids1, face(h1,tm1)) ];
-                std::size_t patch_id_q=tm2_patch_ids[ get(fids2, face(h2,tm2)) ];
+                std::size_t fid1 = get(fids1, face(h1,tm1));
+                std::size_t fid2 = get(fids2, face(h2,tm2));
+                std::size_t patch_id_p=tm1_patch_ids[ fid1 ];
+                std::size_t patch_id_q=tm2_patch_ids[ fid2 ];
 
                 //indicates that patch status will be updated
                 patch_status_not_set_tm1.reset(patch_id_p);
@@ -817,6 +834,11 @@ public:
                 }
                 else
                 {
+                  vertex_descriptor p = target(next(h1,tm1),tm1);
+                  vertex_descriptor q = target(next(h2,tm2),tm2);
+                  Node_id index_p = get_node_id(p, vertex_to_node_id1);
+                  Node_id index_q = get_node_id(q, vertex_to_node_id2);
+
                   if ( p_is_below_q(index_o_prime, index_o,
                                     index_p, index_q, p, q,
                                     vpm1, vpm2,
@@ -1372,9 +1394,8 @@ public:
           }
           if (index_p1 != NID)
           {
-            if (tm1_coplanar_faces.test(f_id))
+            if (coplanar_patches_of_tm1.test(patch_id))
             {
-              coplanar_patches_of_tm1.set(patch_id);
               if (is_tm1_inside_out == is_tm2_inside_out)
                 coplanar_patches_of_tm1_for_union_and_intersection.set(patch_id);
             }
@@ -1434,9 +1455,8 @@ public:
           }
           if (index_p2 != NID)
           {
-            if (tm2_coplanar_faces.test(f_id))
+            if (coplanar_patches_of_tm2.test(patch_id))
             {
-              coplanar_patches_of_tm2.set(patch_id);
               if (is_tm1_inside_out == is_tm2_inside_out)
                 coplanar_patches_of_tm2_for_union_and_intersection.set(patch_id);
             }

From f56cbecce98177f2c2e5a1ba5ecce3daf950f50b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 23 Nov 2020 16:36:05 +0100
Subject: [PATCH 106/317] add missing resize for autoref case

---
 .../CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 43bc4889aee..00650c75161 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -390,6 +390,7 @@ void check_node_on_boundary_vertex_case(std::size_t node_id,
                                   const TriangleMesh& tm) // TODO check if we need a special case if the endpoint of the intersect edge is on the third face
   {
     CGAL_assertion(f1!=f2 && f1!=f3 && f2!=f3);
+    is_node_on_boundary.resize(node_id+1, false);
     TriangleMesh* tm_ptr = const_cast<TriangleMesh*>(&tm);
 //    user_visitor.new_node_added_triple_face(node_id, f1, f2, f3, tm); // NODE_VISITOR_TAG
 #ifdef CGAL_DEBUG_AUTOREFINEMENT

From 4b26935ff5d438f50853a753768b08d64cc73161 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 24 Nov 2020 18:11:27 +0100
Subject: [PATCH 107/317] fix boundary cases (regular and coplanar)

tests are updated as results were somehow invalid
---
 .../Output_builder_for_autorefinement.h       | 296 ++++++++++++++----
 .../test_autorefinement.cmd                   |   4 +-
 2 files changed, 236 insertions(+), 64 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h
index db57fbee53a..6e5b3a73705 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Output_builder_for_autorefinement.h
@@ -245,7 +245,7 @@ public:
     CGAL_assertion(BGL::internal::is_index_map_valid(fids, num_faces(tm), faces(tm)));
 
     // bitset to identify coplanar faces
-    boost::dynamic_bitset<> tm_coplanar_faces(num_faces(tm), 0);
+    std::vector<face_descriptor> tm_coplanar_faces;
 
     // In the following loop we filter intersection edges that are strictly inside a patch
     // of coplanar facets so that we keep only the edges on the border of the patch.
@@ -277,11 +277,6 @@ public:
       else{
         halfedge_descriptor h2_opp = opposite(h2, tm);
 
-        if (is_border_edge(h1,tm) || is_border_edge(h2,tm)){
-          ++epp_it;
-          continue;
-        }
-
         //vertices from tm1
         vertex_descriptor p1 = target(next(h1_opp, tm), tm);
         vertex_descriptor p2 = target(next(h1, tm), tm);
@@ -315,20 +310,20 @@ public:
 
         //mark coplanar facets if any
         if (p1_eq_q1){
-          tm_coplanar_faces.set(get(fids, face(h1_opp, tm)));
-          tm_coplanar_faces.set(get(fids, face(h2_opp, tm)));
+          tm_coplanar_faces.push_back(face(h1_opp, tm));
+          tm_coplanar_faces.push_back(face(h2_opp, tm));
         }
         if (p1_eq_q2){
-          tm_coplanar_faces.set(get(fids, face(h1_opp, tm)));
-          tm_coplanar_faces.set(get(fids, face(h2, tm)));
+          tm_coplanar_faces.push_back(face(h1_opp, tm));
+          tm_coplanar_faces.push_back(face(h2, tm));
         }
         if (p2_eq_q1){
-          tm_coplanar_faces.set(get(fids, face(h1, tm)));
-          tm_coplanar_faces.set(get(fids, face(h2_opp, tm)));
+          tm_coplanar_faces.push_back(face(h1, tm));
+          tm_coplanar_faces.push_back(face(h2_opp, tm));
         }
         if (p2_eq_q2){
-          tm_coplanar_faces.set(get(fids, face(h1, tm)));
-          tm_coplanar_faces.set(get(fids, face(h2, tm)));
+          tm_coplanar_faces.push_back(face(h1, tm));
+          tm_coplanar_faces.push_back(face(h2, tm));
         }
         if ( (p1_eq_q1 || p1_eq_q2) && (p2_eq_q1 || p2_eq_q2) )
           to_remove = true;
@@ -368,6 +363,12 @@ public:
     boost::dynamic_bitset<> coplanar_patches(nb_patches,false);
     patches_to_keep.set();
     patch_status_not_set.set();
+
+    // set coplanar patches flags
+    for (face_descriptor f : tm_coplanar_faces)
+      coplanar_patches.set( patch_ids[get(fids,f)] );
+
+
     // use a union-find on patches to track the incidence between patches kept
     typedef Union_find<std::size_t> UF;
     UF uf;
@@ -404,10 +405,25 @@ public:
       if ( is_border_edge(h1, tm) ){
         if ( is_border_edge(h2,tm) )
         {
+        // CASE h1 and h2 are boundary edge
           if ( is_border(h1,tm) == is_border(h2,tm) )
           {
-            //Orientation issue, nothing done
-            all_fixed = false;
+            std::size_t pid1 =
+              patch_ids[ get(fids, face( is_border(h1,tm)?opposite(h1,tm):h1 ,tm)) ];
+            if (coplanar_patches[pid1])
+            {
+              std::size_t pid2 =
+                patch_ids[ get(fids, face( is_border(h2,tm)?opposite(h2,tm):h2 ,tm)) ];
+              CGAL_assertion(coplanar_patches[pid2]);
+              // the face of p and the face of q1 have the same orientation: remove both patches
+              patches_to_keep.reset(pid1);
+              patches_to_keep.reset(pid2);
+            }
+            else
+            {
+              //Orientation issue, nothing done
+              all_fixed = false;
+            }
           }
           else
           {
@@ -415,22 +431,42 @@ public:
             {
               std::size_t pid1=patch_ids[ get(fids, face(opposite(h1,tm),tm)) ],
                           pid2=patch_ids[ get(fids, face(h2,tm)) ];
-              uf.unify_sets(patch_handles[pid1], patch_handles[pid2]);
-              patch_status_not_set.reset(pid1);
-              patch_status_not_set.reset(pid2);
+
+              if (coplanar_patches[pid1])
+              {
+                CGAL_assertion(coplanar_patches[pid2]);
+                // arbitrarily remove the patch with the smallest id
+                patches_to_keep.reset(pid1<pid2?pid1:pid2);
+              }
+              else
+              {
+                uf.unify_sets(patch_handles[pid1], patch_handles[pid2]);
+                patch_status_not_set.reset(pid1);
+                patch_status_not_set.reset(pid2);
+              }
             }
             else
             {
               std::size_t pid1=patch_ids[ get(fids, face(h1,tm)) ],
                           pid2=patch_ids[ get(fids, face(opposite(h2,tm),tm)) ];
-              uf.unify_sets(patch_handles[pid1], patch_handles[pid2]);
-              patch_status_not_set.reset(pid1);
-              patch_status_not_set.reset(pid2);
+              if (coplanar_patches[pid1])
+              {
+                CGAL_assertion(coplanar_patches[pid2]);
+                // arbitrarily remove the patch with the smallest id
+                patches_to_keep.reset(pid1<pid2?pid1:pid2);
+              }
+              else
+              {
+                uf.unify_sets(patch_handles[pid1], patch_handles[pid2]);
+                patch_status_not_set.reset(pid1);
+                patch_status_not_set.reset(pid2);
+              }
             }
           }
         }
         else
         {
+        // CASE h1 is a boundary edge and h2 is an interior edge
           halfedge_descriptor h = is_border(h1, tm) ? opposite(h1, tm) : h1;
 
           //Sort the three triangle faces around their common edge
@@ -452,29 +488,98 @@ public:
           patch_status_not_set.reset(patch_id_q1);
           patch_status_not_set.reset(patch_id_q2);
 
-          bool p_is_between_q1q2 = sorted_around_edge(
-            ids.first, ids.second,
-            index_q1, index_q2, index_p,
-            q1, q2, p,
-            vpm, vpm,
-            nodes);
-
-          if (p_is_between_q1q2)
+          if (coplanar_patches.test(patch_id_p))
           {
-            uf.unify_sets(patch_handles[patch_id_q1], patch_handles[patch_id_q2]);
-            patches_to_keep.reset(patch_id_p); // even if badly oriented we can
-          }                                     // simply discard the patch
-          else
-          {
-            if (h==h1)
+            if (index_p == index_q1)
             {
-              //Orientation issue, nothing done for the incident patches
-              all_fixed = false;
+              if ( h!=h1 )
+              {
+                // the face of p and the face of q1 have the same orientation: remove both patches
+                patches_to_keep.reset(patch_id_p);
+                patches_to_keep.reset(patch_id_q1);
+              }
+              else
+              {
+                // arbitrarily remove the patch on the border
+                patches_to_keep.reset(patch_id_p);
+              }
             }
             else
             {
-              uf.unify_sets(patch_handles[patch_id_p], patch_handles[patch_id_q2]);
-              patches_to_keep.reset(patch_id_q1);
+              CGAL_assertion(index_p == index_q2);
+              if ( h==h1 )
+              {
+                // the face of p and the face of q2 have the same orientation: remove both patches
+                patches_to_keep.reset(patch_id_p);
+                patches_to_keep.reset(patch_id_q2);
+              }
+              else
+              {
+                // arbitrarily remove the patch on the border
+                patches_to_keep.reset(patch_id_p);
+              }
+            }
+          }
+          else
+          {
+            bool p_is_between_q1q2 = sorted_around_edge(
+              ids.first, ids.second,
+              index_q1, index_q2, index_p,
+              q1, q2, p,
+              vpm, vpm,
+              nodes);
+
+            if (p_is_between_q1q2)
+            {
+              uf.unify_sets(patch_handles[patch_id_q1], patch_handles[patch_id_q2]);
+              patches_to_keep.reset(patch_id_p); // even if badly oriented we can
+            }                                     // simply discard the patch
+            else
+            {
+              // look for a face amongst those containing q1/q2 with an orientation
+              // compatible with the border face containing p. Then if those two
+              // faces "contains" the third one, we can stitch them.
+              if ( h!=h1 )
+              {
+                CGAL_assertion(h==opposite(h1,tm));
+                // check if we keep p - q2
+                bool q1_is_between_pq2 = sorted_around_edge(
+                  ids.first, ids.second,
+                  index_p, index_q2, index_q1,
+                  p, q2, q1,
+                  vpm, vpm,
+                  nodes);
+                if (q1_is_between_pq2)
+                {
+                  uf.unify_sets(patch_handles[patch_id_p], patch_handles[patch_id_q2]);
+                  patches_to_keep.reset(patch_id_q1);
+                }
+                else
+                {
+                  //Orientation issue, nothing done for the incident patches
+                  all_fixed = false;
+                }
+              }
+              else
+              {
+                // check if we keep p - q1
+                bool q2_is_between_q1p = sorted_around_edge(
+                  ids.first, ids.second,
+                  index_q1, index_p, index_q2,
+                  q1, p, q2,
+                  vpm, vpm,
+                  nodes);
+                if (q2_is_between_q1p)
+                {
+                  uf.unify_sets(patch_handles[patch_id_p], patch_handles[patch_id_q1]);
+                  patches_to_keep.reset(patch_id_q2);
+                }
+                else
+                {
+                  //Orientation issue, nothing done for the incident patches
+                  all_fixed = false;
+                }
+              }
             }
           }
         }
@@ -482,6 +587,7 @@ public:
       else
         if ( is_border_edge(h2,tm) )
         {
+          // CASE h2 is a boundary edge and h1 is an interior edge
           halfedge_descriptor h = is_border(h2, tm) ? opposite(h2, tm) : h2;
 
           //Sort the three triangle faces around their common edge
@@ -503,34 +609,104 @@ public:
           patch_status_not_set.reset(patch_id_p2);
           patch_status_not_set.reset(patch_id_q);
 
-          bool q_is_between_p1p2 = sorted_around_edge(
-            ids.first, ids.second,
-            index_p1, index_p2, index_q,
-            p1, p2, q,
-            vpm, vpm,
-            nodes);
-
-          if (q_is_between_p1p2)
+          if (coplanar_patches.test(patch_id_q))
           {
-            uf.unify_sets(patch_handles[patch_id_p1], patch_handles[patch_id_p2]);
-            patches_to_keep.reset(patch_id_q); // even if badly oriented we can
-          }                                     // simply discard the patch
-          else
-          {
-            if (h==h2)
+            if (index_q == index_p1)
             {
-              //Orientation issue, nothing done for the incident patches
-              all_fixed = false;
+              if ( h!=h2 )
+              {
+                // the face of q and the face of p1 have the same orientation: remove both patches
+                patches_to_keep.reset(patch_id_q);
+                patches_to_keep.reset(patch_id_p1);
+              }
+              else
+              {
+                // arbitrarily remove the patch on the border
+                patches_to_keep.reset(patch_id_q);
+              }
             }
             else
             {
-              uf.unify_sets(patch_handles[patch_id_q], patch_handles[patch_id_p2]);
-              patches_to_keep.reset(patch_id_p1);
+              CGAL_assertion(index_q == index_p2);
+              if ( h==h2 )
+              {
+                // the face of q and the face of p2 have the same orientation: remove both patches
+                patches_to_keep.reset(patch_id_q);
+                patches_to_keep.reset(patch_id_p2);
+              }
+              else
+              {
+                // arbitrarily remove the patch on the border
+                patches_to_keep.reset(patch_id_q);
+              }
+            }
+          }
+          else
+          {
+            bool q_is_between_p1p2 = sorted_around_edge(
+              ids.first, ids.second,
+              index_p1, index_p2, index_q,
+              p1, p2, q,
+              vpm, vpm,
+              nodes);
+
+            if (q_is_between_p1p2)
+            {
+              uf.unify_sets(patch_handles[patch_id_p1], patch_handles[patch_id_p2]);
+              patches_to_keep.reset(patch_id_q); // even if badly oriented we can
+            }                                     // simply discard the patch
+            else
+            {
+              // look for a face amongst those containing p1/p2 with an orientation
+              // compatible with the border face  containing q. Then if those two
+              // faces contains the third one, we can stitch them.
+              if ( h!=h2 )
+              {
+                // check if we keep q - p2
+                CGAL_assertion(h==opposite(h2,tm));
+                bool p1_is_between_qp2 = sorted_around_edge(
+                  ids.first, ids.second,
+                  index_q, index_p2, index_p1,
+                  q, p2, p1,
+                  vpm, vpm,
+                  nodes);
+                if (p1_is_between_qp2)
+                {
+                  uf.unify_sets(patch_handles[patch_id_q], patch_handles[patch_id_p2]);
+                  patches_to_keep.reset(patch_id_p1);
+                }
+                else
+                {
+                  //Orientation issue, nothing done for the incident patches
+                  all_fixed = false;
+                }
+              }
+              else
+              {
+                // check if we keep q - p1
+                bool p2_is_between_p1q = sorted_around_edge(
+                  ids.first, ids.second,
+                  index_p1, index_q, index_p2,
+                  p1, q, p2,
+                  vpm, vpm,
+                  nodes);
+                if (p2_is_between_p1q)
+                {
+                  uf.unify_sets(patch_handles[patch_id_q], patch_handles[patch_id_p1]);
+                  patches_to_keep.reset(patch_id_p2);
+                }
+                else
+                {
+                  //Orientation issue, nothing done for the incident patches
+                  all_fixed = false;
+                }
+              }
             }
           }
         }
         else
         {
+          // CASE h1 and h2 are both interior edges
           //Sort the four triangle faces around their common edge
           //  we assume that the exterior of the volume is indicated by
           //  counterclockwise oriented faces
@@ -908,7 +1084,6 @@ public:
           if ( !patches_to_keep.test(patch_id) )
           {
             edges_no_longer_on_intersection.push_back(edge(h1, tm));
-            edges_no_longer_on_intersection.push_back(edge(h2, tm));
             continue;
           }
         }
@@ -918,7 +1093,6 @@ public:
           if ( !patches_to_keep.test(patch_id) )
           {
             edges_no_longer_on_intersection.push_back(edge(h1, tm));
-            edges_no_longer_on_intersection.push_back(edge(h2, tm));
             continue;
           }
           std::swap(h1, h1_opp);
@@ -950,7 +1124,6 @@ public:
           std::size_t patch_id = patch_ids[get(fids,face(opposite(h2,tm),tm))];
           if ( !patches_to_keep.test(patch_id) )
           {
-            edges_no_longer_on_intersection.push_back(edge(h1, tm));
             edges_no_longer_on_intersection.push_back(edge(h2, tm));
             continue;
           }
@@ -960,7 +1133,6 @@ public:
           std::size_t patch_id = patch_ids[get(fids,face(h2,tm))];
           if ( !patches_to_keep.test(patch_id) )
           {
-            edges_no_longer_on_intersection.push_back(edge(h1, tm));
             edges_no_longer_on_intersection.push_back(edge(h2, tm));
             continue;
           }
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_autorefinement.cmd b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_autorefinement.cmd
index 1b1ab1b4a1d..45c370f1f49 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_autorefinement.cmd
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_autorefinement.cmd
@@ -6,11 +6,11 @@ data-autoref/test_05.off 1 5 17 1 0 0
 data-autoref/test_06.off 3 55 141 1 76 0
 data-autoref/test_07.off 1 4 10 1 4 0
 data-autoref/test_08.off 1 31 87 1 52 0
-data-autoref/test_09.off 1 4 5 1 5 0
+data-autoref/test_09.off 1 4 5 1 4 0
 data-autoref/test_10.off 1 3 13 0 13 0
 data-autoref/test_11.off 1 3 12 1 5 0
 data-autoref/test_12.off 2 2 11 1 11 0
-data-autoref/test_13.off 1 5 16 0 16 0
+data-autoref/test_13.off 1 5 16 1 8 0
 data-autoref/test_14.off 1 5 16 1 12 0
 data-autoref/test_15.off 3 8 16 1 12 0
 data-autoref/test_16.off 1 2 6 1 4 0

From 2464be1eb699486ab306ca23176b3f13e156f3f3 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 25 Nov 2020 09:00:26 +0100
Subject: [PATCH 108/317] typo

---
 BGL/test/BGL/test_cgal_bgl_named_params.cpp | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/BGL/test/BGL/test_cgal_bgl_named_params.cpp b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
index dde2ad90041..f9c65cd2f97 100644
--- a/BGL/test/BGL/test_cgal_bgl_named_params.cpp
+++ b/BGL/test/BGL/test_cgal_bgl_named_params.cpp
@@ -329,7 +329,7 @@ int main()
                          .throw_on_self_intersection(A<43>(43))
                          .clip_volume(A<44>(44))
                          .use_compact_clipper(A<45>(45))
-                         .non_manifold_feature_map(A<60>(60)
+                         .non_manifold_feature_map(A<60>(60))
                          .filter(A<61>(61))
                          .apply_per_connected_component(A<46>(46))
                          .output_iterator(A<47>(47))

From d8499765a8e293fa3e8e3e7abc09fbb2cd7c525d Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 25 Nov 2020 16:32:20 +0100
Subject: [PATCH 109/317] move undocumented feature to test

---
 .../examples/Polygon_mesh_processing/CMakeLists.txt              | 1 -
 .../test/Polygon_mesh_processing/CMakeLists.txt                  | 1 +
 .../Polygon_mesh_processing/corefine_non_manifold.cpp            | 0
 3 files changed, 1 insertion(+), 1 deletion(-)
 rename Polygon_mesh_processing/{examples => test}/Polygon_mesh_processing/corefine_non_manifold.cpp (100%)

diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt b/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
index f3896b61eb1..ec8bb41756b 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
@@ -84,7 +84,6 @@ create_single_source_cgal_program( "corefinement_mesh_union.cpp" )
 create_single_source_cgal_program( "corefinement_mesh_union_and_intersection.cpp" )
 create_single_source_cgal_program( "corefinement_mesh_union_with_attributes.cpp" )
 create_single_source_cgal_program( "corefinement_polyhedron_union.cpp" )
-create_single_source_cgal_program( "corefine_non_manifold.cpp" )
 create_single_source_cgal_program( "random_perturbation_SM_example.cpp" )
 create_single_source_cgal_program( "corefinement_LCC.cpp")
 create_single_source_cgal_program( "detect_features_example.cpp" )
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
index c1612e65f9d..84e4946e4d6 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/CMakeLists.txt
@@ -86,6 +86,7 @@ endif()
   create_single_source_cgal_program("test_pmp_clip.cpp")
   create_single_source_cgal_program("test_autorefinement.cpp")
   create_single_source_cgal_program("autorefinement_sm.cpp")
+  create_single_source_cgal_program( "corefine_non_manifold.cpp" )
   create_single_source_cgal_program("triangulate_hole_polyline_test.cpp")
   create_single_source_cgal_program("surface_intersection_sm_poly.cpp" )
   create_single_source_cgal_program("test_orient_cc.cpp")
diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/corefine_non_manifold.cpp
similarity index 100%
rename from Polygon_mesh_processing/examples/Polygon_mesh_processing/corefine_non_manifold.cpp
rename to Polygon_mesh_processing/test/Polygon_mesh_processing/corefine_non_manifold.cpp

From 172b16bf09b1c9f53d6f072f725adc414f422665 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 26 Nov 2020 14:10:53 +0100
Subject: [PATCH 110/317] really split the intersection graph at node where the
 intersection polylines ...

... goes from the interior of a mesh onto its boundary
The patch is not yet valid for autorefinement
---
 .../internal/Corefinement/Visitor.h           | 164 ++++++++++++++----
 1 file changed, 134 insertions(+), 30 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 00650c75161..00670ec4c0d 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -26,6 +26,8 @@
 #include <CGAL/Triangulation_2_projection_traits_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 
+#include <boost/container/flat_map.hpp>
+
 namespace CGAL{
 namespace Polygon_mesh_processing {
 namespace Corefinement{
@@ -156,6 +158,10 @@ private:
 // data members
 private:
   boost::dynamic_bitset<> is_node_on_boundary; // indicate if a vertex is a border vertex in tm1 or tm2
+  boost::container::flat_map<TriangleMesh*, std::vector< vertex_descriptor> > node_on_vertex_map;
+  boost::container::flat_map<TriangleMesh*, std::vector< halfedge_descriptor> > node_on_edge_map;
+
+
   std::vector< std::vector<Node_id> > graph_of_constraints;
   boost::dynamic_bitset<> is_node_of_degree_one;
   //nb of intersection points between coplanar faces, see fixes XSL_TAG_CPL_VERT
@@ -281,12 +287,96 @@ public:
     }
   }
 
+  bool is_on_border(std::size_t node_id1, std::size_t node_id2,
+                    const std::vector<vertex_descriptor>* node_on_vertex_ptr,
+                    const std::vector<halfedge_descriptor>* node_on_edge_ptr,
+                    TriangleMesh* tm_ptr)
+  {
+    if (tm_ptr == nullptr) return false;
+
+    if (node_on_vertex_ptr!=nullptr)
+    {
+      if ( (*node_on_vertex_ptr)[node_id1] != Graph_traits::null_vertex() )
+      {
+        if ( (*node_on_vertex_ptr)[node_id2] != Graph_traits::null_vertex() )
+        {
+          std::pair< halfedge_descriptor, bool > res =
+            halfedge((*node_on_vertex_ptr)[node_id1],
+                     (*node_on_vertex_ptr)[node_id2],
+                     *tm_ptr);
+          CGAL_assertion(res.second);
+          return res.second && is_border_edge(res.first, *tm_ptr);
+        }
+        if (node_on_edge_ptr!=nullptr)
+        {
+          halfedge_descriptor h = (*node_on_edge_ptr)[node_id2];
+          if (h != Graph_traits::null_halfedge())
+          {
+            return ( source(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id1] ||
+                    target(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id1] )
+                  && is_border_edge(h, *tm_ptr);
+          }
+          return false;
+        }
+      }
+    }
+
+    if (node_on_edge_ptr!=nullptr)
+    {
+      halfedge_descriptor h = (*node_on_edge_ptr)[node_id1];
+      if (h != Graph_traits::null_halfedge())
+      {
+        if ( node_on_vertex_ptr!=nullptr &&
+             (*node_on_vertex_ptr)[node_id2] != Graph_traits::null_vertex() )
+        {
+          return ( source(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id2] ||
+                  target(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id2] )
+                && is_border_edge(h, *tm_ptr);
+        }
+        halfedge_descriptor h_bis = (*node_on_edge_ptr)[node_id2];
+        if (h_bis != Graph_traits::null_halfedge())
+          return h==h_bis || h==opposite(h_bis, *tm_ptr);
+      }
+    }
+    return false;
+  }
+
   template<class Graph_node>
   void annotate_graph(std::vector<Graph_node>& graph)
   {
     std::size_t nb_nodes=graph.size();
     graph_of_constraints.resize(nb_nodes);
     is_node_of_degree_one.resize(nb_nodes);
+//TODO: pas bon avec autoref et la collecte des infos aussi...
+    TriangleMesh* tm1_ptr = nullptr;
+    const std::vector<vertex_descriptor>* node_on_vertex_1_ptr = nullptr;
+    const std::vector<halfedge_descriptor>* node_on_edge_1_ptr = nullptr;
+    TriangleMesh* tm2_ptr = nullptr;
+    const std::vector<vertex_descriptor>* node_on_vertex_2_ptr = nullptr;
+    const std::vector<halfedge_descriptor>* node_on_edge_2_ptr = nullptr;
+
+    boost::container::flat_set<TriangleMesh*> mesh_ptrs;
+    mesh_ptrs.reserve(2);
+    for (const auto& k_v : node_on_vertex_map) mesh_ptrs.insert(k_v.first);
+    for (const auto& k_v : node_on_edge_map) mesh_ptrs.insert(k_v.first);
+
+    if (!mesh_ptrs.empty())
+    {
+      tm1_ptr=*mesh_ptrs.begin();
+      auto itv = node_on_vertex_map.find(tm1_ptr);
+      if (itv != node_on_vertex_map.end()) node_on_vertex_1_ptr= &(itv->second);
+      auto ite = node_on_edge_map.find(tm1_ptr);
+      if (ite != node_on_edge_map.end()) node_on_edge_1_ptr= &(ite->second);
+      if (mesh_ptrs.size()==2)
+      {
+        tm2_ptr=*std::next(mesh_ptrs.begin());
+        itv = node_on_vertex_map.find(tm2_ptr);
+        if (itv != node_on_vertex_map.end()) node_on_vertex_2_ptr= &(itv->second);
+        ite = node_on_edge_map.find(tm2_ptr);
+        if (ite != node_on_edge_map.end()) node_on_edge_2_ptr= &(ite->second);
+      }
+    }
+
     for(std::size_t node_id=0;node_id<nb_nodes;++node_id)
     {
       graph_of_constraints[node_id].assign(
@@ -296,21 +386,24 @@ public:
       if (graph_of_constraints[node_id].size()==1)
         is_node_of_degree_one.set(node_id);
 
-      // mark every vertex on the boundary connected to another vertex by a non-boundary edge
+      if (handle_non_manifold_features) continue; // skip the rest of the function meant to prepare
+                                                  // the intersection polylines for the output builder
+                                                  // (which is not called with non-manifold features)
+
+      // mark every vertex contained by the intersection polyline, incident to a border and a non-border edge.
       // The logic is somehow equivalent to what was done with the container `non_manifold_nodes`
       // that was used to split polylines at certains points. Non-manifold was used in the context
       // of the combinatorial map where the import inside the combinatorial map was possible (see broken_bound-[12].off)
-      if (is_node_on_boundary.test(node_id))
+      if (is_node_on_boundary.test(node_id) && graph_of_constraints[node_id].size()==2)
       {
-        // TODO: the commented condition is not restrictive enough. It only tests the vertices, not the edge used
-        //       to go from one vertex to the other. Right now we are marking too many norder vertices as
-        //       terminal than necessary. We cannot use mesh_to_node_id_to_vertex since it will be filled only
-        //       after the call to visitor.finalize() in the main algorithm
-        //       The current version of the code is correct but too many nodes are potentially
-        //       marked as terminal
-        if (graph_of_constraints[node_id].size()==2 /* && (
-            !is_node_on_boundary.test(graph_of_constraints[node_id][0]) ||
-            !is_node_on_boundary.test(graph_of_constraints[node_id][1]) ) */ )
+        std::size_t nn1 = graph_of_constraints[node_id][0],
+                    nn2 = graph_of_constraints[node_id][1];
+        // check if in tm1 or in tm2 edge(node_id, nn1) and edge(node_id, nn2)
+        if (  is_on_border(node_id, nn1, node_on_vertex_1_ptr, node_on_edge_1_ptr, tm1_ptr) !=
+              is_on_border(node_id, nn2, node_on_vertex_1_ptr, node_on_edge_1_ptr, tm1_ptr)
+            ||
+              is_on_border(node_id, nn1, node_on_vertex_2_ptr, node_on_edge_2_ptr, tm2_ptr) !=
+              is_on_border(node_id, nn2, node_on_vertex_2_ptr, node_on_edge_2_ptr, tm2_ptr) )
         {
           graph[node_id].make_terminal();
         }
@@ -350,26 +443,29 @@ public:
     CGAL_error_msg("This function should not be called");
   }
 
-void check_node_on_boundary_edge_case(std::size_t node_id,
-                                     halfedge_descriptor h,
-                                     const TriangleMesh& tm)
-{
-  if ( is_border_edge(h,tm) )
-    is_node_on_boundary.set(node_id);
-}
-
-void check_node_on_boundary_vertex_case(std::size_t node_id,
-                                       halfedge_descriptor h,
-                                       const TriangleMesh& tm)
-{
-  //we turn around the hedge and check no halfedge is a border halfedge
-   for(halfedge_descriptor hc :halfedges_around_target(h,tm))
-    if ( is_border_edge(hc,tm) )
-    {
+  void check_node_on_boundary_edge_case(std::size_t node_id,
+                                      halfedge_descriptor h,
+                                      const TriangleMesh& tm)
+  {
+    if ( is_border_edge(h,tm) )
       is_node_on_boundary.set(node_id);
-      return;
-    }
-}
+    node_on_edge_map[const_cast<TriangleMesh*>(&tm)][node_id] = h;
+  }
+
+  void check_node_on_boundary_vertex_case(std::size_t node_id,
+                                        halfedge_descriptor h,
+                                        const TriangleMesh& tm)
+  {
+    node_on_vertex_map[const_cast<TriangleMesh*>(&tm)][node_id] = target(h,tm);
+
+    //we turn around the hedge and check no halfedge is a border halfedge
+    for(halfedge_descriptor hc :halfedges_around_target(h,tm))
+      if ( is_border_edge(hc,tm) )
+      {
+        is_node_on_boundary.set(node_id);
+        return;
+      }
+  }
 
   //keep track of the fact that a polyhedron original vertex is a node
   void all_incident_faces_got_a_node_as_vertex(
@@ -392,6 +488,9 @@ void check_node_on_boundary_vertex_case(std::size_t node_id,
     CGAL_assertion(f1!=f2 && f1!=f3 && f2!=f3);
     is_node_on_boundary.resize(node_id+1, false);
     TriangleMesh* tm_ptr = const_cast<TriangleMesh*>(&tm);
+    node_on_edge_map[tm_ptr].resize(node_id+1, Graph_traits::null_halfedge());
+    node_on_vertex_map[tm_ptr].resize(node_id+1, Graph_traits::null_vertex());
+
 //    user_visitor.new_node_added_triple_face(node_id, f1, f2, f3, tm); // NODE_VISITOR_TAG
 #ifdef CGAL_DEBUG_AUTOREFINEMENT
     std::cout << "adding node " << node_id << " " << f1 << " " << f2 << " " << f3 << "\n";
@@ -415,6 +514,11 @@ void check_node_on_boundary_vertex_case(std::size_t node_id,
     TriangleMesh* tm1_ptr = const_cast<TriangleMesh*>(&tm1);
     TriangleMesh* tm2_ptr = const_cast<TriangleMesh*>(&tm2);
 
+    node_on_edge_map[tm1_ptr].resize(node_id+1, Graph_traits::null_halfedge());
+    node_on_vertex_map[tm1_ptr].resize(node_id+1, Graph_traits::null_vertex());
+    node_on_edge_map[tm2_ptr].resize(node_id+1, Graph_traits::null_halfedge());
+    node_on_vertex_map[tm2_ptr].resize(node_id+1,  Graph_traits::null_vertex());
+
     //forward to the visitor
 //    user_visitor.new_node_added(node_id, type, h_1, h_2, is_target_coplanar, is_source_coplanar); // NODE_VISITOR_TAG
     if (tm2_ptr!=const_mesh_ptr)

From feb5ed87fdd0d4a5d10b508e4955f102b33a67d7 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Thu, 26 Nov 2020 18:31:24 +0100
Subject: [PATCH 111/317] export the handling of extra terminal node in a class
 template (with specialization for autoref)

---
 .../internal/Corefinement/Visitor.h           | 373 ++++++++++++------
 1 file changed, 250 insertions(+), 123 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 00670ec4c0d..02692973e93 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -27,6 +27,7 @@
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 
 #include <boost/container/flat_map.hpp>
+#include <boost/container/small_vector.hpp>
 
 namespace CGAL{
 namespace Polygon_mesh_processing {
@@ -101,6 +102,245 @@ struct No_extra_output_from_corefinement
   {}
 };
 
+template <class TriangleMesh, bool doing_autorefinement /* = false */>
+class Graph_node_classifier
+{
+  typedef std::size_t Node_id;
+  typedef boost::graph_traits<TriangleMesh> Graph_traits;
+  typedef typename Graph_traits::vertex_descriptor vertex_descriptor;
+  typedef typename Graph_traits::halfedge_descriptor halfedge_descriptor;
+  boost::dynamic_bitset<> is_node_on_boundary; // indicate if a vertex is a border vertex in tm1 or tm2
+  boost::container::flat_map<TriangleMesh*, std::vector< vertex_descriptor> > m_node_on_vertex_map;
+  boost::container::flat_map<TriangleMesh*, std::vector< halfedge_descriptor> > m_node_on_edge_map;
+// variables filled by preprocessing
+  TriangleMesh* m_tm1_ptr = nullptr;
+  const std::vector<vertex_descriptor>* m_node_on_vertex_1_ptr = nullptr;
+  const std::vector<halfedge_descriptor>* m_node_on_edge_1_ptr = nullptr;
+  TriangleMesh* m_tm2_ptr = nullptr;
+  const std::vector<vertex_descriptor>* m_node_on_vertex_2_ptr = nullptr;
+  const std::vector<halfedge_descriptor>* m_node_on_edge_2_ptr = nullptr;
+
+  bool is_on_border(std::size_t node_id1, std::size_t node_id2,
+                    const std::vector<vertex_descriptor>* node_on_vertex_ptr,
+                    const std::vector<halfedge_descriptor>* node_on_edge_ptr,
+                    TriangleMesh* tm_ptr)
+  {
+    if (tm_ptr == nullptr) return false;
+
+    if (node_on_vertex_ptr!=nullptr)
+    {
+      vertex_descriptor v1 = (*node_on_vertex_ptr)[node_id1];
+      if ( v1 != Graph_traits::null_vertex() )
+      {
+        vertex_descriptor v2 = (*node_on_vertex_ptr)[node_id2];
+        if ( v2 != Graph_traits::null_vertex() )
+        {
+          std::pair< halfedge_descriptor, bool > res =
+            halfedge(v1, v2, *tm_ptr);
+          CGAL_assertion(res.second);
+          return res.second && is_border_edge(res.first, *tm_ptr);
+        }
+        if (node_on_edge_ptr!=nullptr)
+        {
+          halfedge_descriptor h = (*node_on_edge_ptr)[node_id2];
+          if (h != Graph_traits::null_halfedge() && is_border_edge(h, *tm_ptr))
+            return source(h, *tm_ptr)==v1 || target(h, *tm_ptr)==v1;
+          return false;
+        }
+      }
+    }
+
+    if (node_on_edge_ptr!=nullptr)
+    {
+      halfedge_descriptor h = (*node_on_edge_ptr)[node_id1];
+      if (h != Graph_traits::null_halfedge() && is_border_edge(h, *tm_ptr))
+      {
+        if ( node_on_vertex_ptr!=nullptr )
+        {
+          vertex_descriptor v2 = (*node_on_vertex_ptr)[node_id2];
+          if (v2 != Graph_traits::null_vertex() )
+            return source(h, *tm_ptr)==v2 || target(h, *tm_ptr)==v2;
+        }
+        halfedge_descriptor h_bis = (*node_on_edge_ptr)[node_id2];
+        if (h_bis != Graph_traits::null_halfedge())
+          return h==h_bis || h==opposite(h_bis, *tm_ptr);
+      }
+    }
+    return false;
+  }
+public:
+
+  void preprocessing()
+  {
+    boost::container::flat_set<TriangleMesh*> mesh_ptrs;
+    mesh_ptrs.reserve(2);
+    for (const auto& k_v : m_node_on_vertex_map) mesh_ptrs.insert(k_v.first);
+    for (const auto& k_v : m_node_on_edge_map) mesh_ptrs.insert(k_v.first);
+
+    if (!mesh_ptrs.empty())
+    {
+      m_tm1_ptr=*mesh_ptrs.begin();
+      auto itv = m_node_on_vertex_map.find(m_tm1_ptr);
+      if (itv != m_node_on_vertex_map.end()) m_node_on_vertex_1_ptr= &(itv->second);
+      auto ite = m_node_on_edge_map.find(m_tm1_ptr);
+      if (ite != m_node_on_edge_map.end()) m_node_on_edge_1_ptr= &(ite->second);
+      if (mesh_ptrs.size()==2)
+      {
+        m_tm2_ptr=*std::next(mesh_ptrs.begin());
+        itv = m_node_on_vertex_map.find(m_tm2_ptr);
+        if (itv != m_node_on_vertex_map.end()) m_node_on_vertex_2_ptr= &(itv->second);
+        ite = m_node_on_edge_map.find(m_tm2_ptr);
+        if (ite != m_node_on_edge_map.end()) m_node_on_edge_2_ptr= &(ite->second);
+      }
+    }
+  }
+
+  void node_on_vertex(Node_id node_id, vertex_descriptor v, const TriangleMesh& tm)
+  {
+    m_node_on_vertex_map[const_cast<TriangleMesh*>(&tm)][node_id] = v;
+
+    //we turn around the hedge and check no halfedge is a border halfedge
+    for(halfedge_descriptor hc :halfedges_around_target(halfedge(v,tm),tm))
+      if ( is_border_edge(hc,tm) )
+      {
+        is_node_on_boundary.set(node_id);
+        return;
+      }
+  }
+
+  void node_on_edge(Node_id node_id, halfedge_descriptor h, const TriangleMesh& tm)
+  {
+    if ( is_border_edge(h,tm) )
+      is_node_on_boundary.set(node_id);
+    m_node_on_edge_map[const_cast<TriangleMesh*>(&tm)][node_id] = h;
+
+  }
+
+  void new_node(Node_id node_id, const TriangleMesh& tm)
+  {
+    is_node_on_boundary.resize(node_id+1, false);
+    TriangleMesh* tm_ptr = const_cast<TriangleMesh*>(&tm);
+    m_node_on_edge_map[tm_ptr].resize(node_id+1, Graph_traits::null_halfedge());
+    m_node_on_vertex_map[tm_ptr].resize(node_id+1, Graph_traits::null_vertex());
+  }
+
+  bool is_terminal(Node_id node_id,  const std::vector<Node_id>& neighbor_nodes)
+  {
+    if ( is_node_on_boundary.test(node_id) && neighbor_nodes.size()==2)
+    {
+      std::size_t nn1 = neighbor_nodes[0], nn2 = neighbor_nodes[1];
+
+      return  is_on_border(node_id, nn1, m_node_on_vertex_1_ptr, m_node_on_edge_1_ptr, m_tm1_ptr) !=
+              is_on_border(node_id, nn2, m_node_on_vertex_1_ptr, m_node_on_edge_1_ptr, m_tm1_ptr)
+          ||
+              is_on_border(node_id, nn1, m_node_on_vertex_2_ptr, m_node_on_edge_2_ptr, m_tm2_ptr) !=
+              is_on_border(node_id, nn2, m_node_on_vertex_2_ptr, m_node_on_edge_2_ptr, m_tm2_ptr);
+    }
+    return false;
+  }
+};
+
+template <class TriangleMesh>
+class Graph_node_classifier<TriangleMesh, /* doing_autorefinement = */ true >
+{
+  typedef std::size_t Node_id;
+  typedef boost::graph_traits<TriangleMesh> Graph_traits;
+  typedef typename Graph_traits::vertex_descriptor vertex_descriptor;
+  typedef typename Graph_traits::halfedge_descriptor halfedge_descriptor;
+  boost::dynamic_bitset<> m_is_node_on_boundary; // indicate if a vertex is a border vertex in tm1 or tm2
+  std::vector<boost::container::small_vector<vertex_descriptor,2>> m_node_on_vertex;
+  std::vector<boost::container::small_vector<halfedge_descriptor,2>> m_node_on_edge;
+  TriangleMesh* m_tm_ptr = nullptr;
+
+  bool is_on_border(std::size_t node_id1, std::size_t node_id2)
+  {
+    if (m_tm_ptr == nullptr) return false;
+
+    for (vertex_descriptor v1 : m_node_on_vertex[node_id1])
+    {
+      for (vertex_descriptor v2 : m_node_on_vertex[node_id2])
+      {
+        //vertex-vertex case
+        std::pair< halfedge_descriptor, bool > res =
+          halfedge(v1, v2, *m_tm_ptr);
+        if (res.second && is_border_edge(res.first, *m_tm_ptr))
+          return true;
+      }
+      for (halfedge_descriptor h2 : m_node_on_edge[node_id2])
+      {
+        // vertex-edge case
+        if ( (source(h2, *m_tm_ptr)==v1 || target(h2, *m_tm_ptr)==v1)
+              && is_border_edge(h2, *m_tm_ptr) )
+        {
+          return true;
+        }
+      }
+    }
+
+    for (halfedge_descriptor h1 : m_node_on_edge[node_id1])
+    {
+      if (!is_border_edge(h1, *m_tm_ptr)) continue;
+      for (vertex_descriptor v2 : m_node_on_vertex[node_id2])
+      {
+        // edge-vertex case
+        if (source(h1, *m_tm_ptr)==v2 || target(h1, *m_tm_ptr)==v2)
+          return true;
+      }
+      for (halfedge_descriptor h2 : m_node_on_edge[node_id2])
+      {
+        if (h1==h2 || h1==opposite(h2, *m_tm_ptr))
+          return true;
+      }
+    }
+
+    return false;
+  }
+
+public:
+
+  void preprocessing(){}
+
+  void node_on_vertex(Node_id node_id, vertex_descriptor v, const TriangleMesh& tm)
+  {
+    m_node_on_vertex[node_id].push_back(v);
+
+    //we turn around the hedge and check no halfedge is a border halfedge
+    for(halfedge_descriptor hc :halfedges_around_target(halfedge(v,tm),tm))
+      if ( is_border_edge(hc,tm) )
+      {
+        m_is_node_on_boundary.set(node_id);
+        return;
+      }
+  }
+
+  void node_on_edge(Node_id node_id, halfedge_descriptor h, const TriangleMesh& tm)
+  {
+     if ( is_border_edge(h,tm) )
+       m_is_node_on_boundary.set(node_id);
+     m_node_on_edge[node_id].push_back(h);
+
+  }
+
+  void new_node(Node_id node_id, const TriangleMesh& tm)
+  {
+    m_is_node_on_boundary.resize(node_id+1, false);
+    m_tm_ptr = const_cast<TriangleMesh*>(&tm);
+    m_node_on_edge.resize(node_id+1);
+    m_node_on_vertex.resize(node_id+1);
+  }
+
+  bool is_terminal(Node_id node_id,  const std::vector<Node_id>& neighbor_nodes)
+  {
+    if ( m_is_node_on_boundary.test(node_id) && neighbor_nodes.size()==2)
+    {
+      std::size_t nn1 = neighbor_nodes[0], nn2 = neighbor_nodes[1];
+
+      return  is_on_border(node_id, nn1) != is_on_border(node_id, nn2);
+    }
+    return false;
+  }
+};
+
 // A visitor for Intersection_of_triangle_meshes that can be used to corefine
 // two meshes
 template< class TriangleMesh,
@@ -157,11 +397,8 @@ private:
     typedef typename CDT::Vertex_handle                       CDT_Vertex_handle;
 // data members
 private:
-  boost::dynamic_bitset<> is_node_on_boundary; // indicate if a vertex is a border vertex in tm1 or tm2
-  boost::container::flat_map<TriangleMesh*, std::vector< vertex_descriptor> > node_on_vertex_map;
-  boost::container::flat_map<TriangleMesh*, std::vector< halfedge_descriptor> > node_on_edge_map;
-
 
+  Graph_node_classifier<TriangleMesh, doing_autorefinement> graph_node_classifier;
   std::vector< std::vector<Node_id> > graph_of_constraints;
   boost::dynamic_bitset<> is_node_of_degree_one;
   //nb of intersection points between coplanar faces, see fixes XSL_TAG_CPL_VERT
@@ -287,60 +524,6 @@ public:
     }
   }
 
-  bool is_on_border(std::size_t node_id1, std::size_t node_id2,
-                    const std::vector<vertex_descriptor>* node_on_vertex_ptr,
-                    const std::vector<halfedge_descriptor>* node_on_edge_ptr,
-                    TriangleMesh* tm_ptr)
-  {
-    if (tm_ptr == nullptr) return false;
-
-    if (node_on_vertex_ptr!=nullptr)
-    {
-      if ( (*node_on_vertex_ptr)[node_id1] != Graph_traits::null_vertex() )
-      {
-        if ( (*node_on_vertex_ptr)[node_id2] != Graph_traits::null_vertex() )
-        {
-          std::pair< halfedge_descriptor, bool > res =
-            halfedge((*node_on_vertex_ptr)[node_id1],
-                     (*node_on_vertex_ptr)[node_id2],
-                     *tm_ptr);
-          CGAL_assertion(res.second);
-          return res.second && is_border_edge(res.first, *tm_ptr);
-        }
-        if (node_on_edge_ptr!=nullptr)
-        {
-          halfedge_descriptor h = (*node_on_edge_ptr)[node_id2];
-          if (h != Graph_traits::null_halfedge())
-          {
-            return ( source(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id1] ||
-                    target(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id1] )
-                  && is_border_edge(h, *tm_ptr);
-          }
-          return false;
-        }
-      }
-    }
-
-    if (node_on_edge_ptr!=nullptr)
-    {
-      halfedge_descriptor h = (*node_on_edge_ptr)[node_id1];
-      if (h != Graph_traits::null_halfedge())
-      {
-        if ( node_on_vertex_ptr!=nullptr &&
-             (*node_on_vertex_ptr)[node_id2] != Graph_traits::null_vertex() )
-        {
-          return ( source(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id2] ||
-                  target(h, *tm_ptr)==(*node_on_vertex_ptr)[node_id2] )
-                && is_border_edge(h, *tm_ptr);
-        }
-        halfedge_descriptor h_bis = (*node_on_edge_ptr)[node_id2];
-        if (h_bis != Graph_traits::null_halfedge())
-          return h==h_bis || h==opposite(h_bis, *tm_ptr);
-      }
-    }
-    return false;
-  }
-
   template<class Graph_node>
   void annotate_graph(std::vector<Graph_node>& graph)
   {
@@ -348,35 +531,8 @@ public:
     graph_of_constraints.resize(nb_nodes);
     is_node_of_degree_one.resize(nb_nodes);
 //TODO: pas bon avec autoref et la collecte des infos aussi...
-    TriangleMesh* tm1_ptr = nullptr;
-    const std::vector<vertex_descriptor>* node_on_vertex_1_ptr = nullptr;
-    const std::vector<halfedge_descriptor>* node_on_edge_1_ptr = nullptr;
-    TriangleMesh* tm2_ptr = nullptr;
-    const std::vector<vertex_descriptor>* node_on_vertex_2_ptr = nullptr;
-    const std::vector<halfedge_descriptor>* node_on_edge_2_ptr = nullptr;
-
-    boost::container::flat_set<TriangleMesh*> mesh_ptrs;
-    mesh_ptrs.reserve(2);
-    for (const auto& k_v : node_on_vertex_map) mesh_ptrs.insert(k_v.first);
-    for (const auto& k_v : node_on_edge_map) mesh_ptrs.insert(k_v.first);
-
-    if (!mesh_ptrs.empty())
-    {
-      tm1_ptr=*mesh_ptrs.begin();
-      auto itv = node_on_vertex_map.find(tm1_ptr);
-      if (itv != node_on_vertex_map.end()) node_on_vertex_1_ptr= &(itv->second);
-      auto ite = node_on_edge_map.find(tm1_ptr);
-      if (ite != node_on_edge_map.end()) node_on_edge_1_ptr= &(ite->second);
-      if (mesh_ptrs.size()==2)
-      {
-        tm2_ptr=*std::next(mesh_ptrs.begin());
-        itv = node_on_vertex_map.find(tm2_ptr);
-        if (itv != node_on_vertex_map.end()) node_on_vertex_2_ptr= &(itv->second);
-        ite = node_on_edge_map.find(tm2_ptr);
-        if (ite != node_on_edge_map.end()) node_on_edge_2_ptr= &(ite->second);
-      }
-    }
 
+    graph_node_classifier.preprocessing();
     for(std::size_t node_id=0;node_id<nb_nodes;++node_id)
     {
       graph_of_constraints[node_id].assign(
@@ -394,20 +550,8 @@ public:
       // The logic is somehow equivalent to what was done with the container `non_manifold_nodes`
       // that was used to split polylines at certains points. Non-manifold was used in the context
       // of the combinatorial map where the import inside the combinatorial map was possible (see broken_bound-[12].off)
-      if (is_node_on_boundary.test(node_id) && graph_of_constraints[node_id].size()==2)
-      {
-        std::size_t nn1 = graph_of_constraints[node_id][0],
-                    nn2 = graph_of_constraints[node_id][1];
-        // check if in tm1 or in tm2 edge(node_id, nn1) and edge(node_id, nn2)
-        if (  is_on_border(node_id, nn1, node_on_vertex_1_ptr, node_on_edge_1_ptr, tm1_ptr) !=
-              is_on_border(node_id, nn2, node_on_vertex_1_ptr, node_on_edge_1_ptr, tm1_ptr)
-            ||
-              is_on_border(node_id, nn1, node_on_vertex_2_ptr, node_on_edge_2_ptr, tm2_ptr) !=
-              is_on_border(node_id, nn2, node_on_vertex_2_ptr, node_on_edge_2_ptr, tm2_ptr) )
-        {
-          graph[node_id].make_terminal();
-        }
-      }
+      if (  graph_node_classifier.is_terminal(node_id, graph_of_constraints[node_id]) )
+        graph[node_id].make_terminal();
     }
   }
 
@@ -447,24 +591,14 @@ public:
                                       halfedge_descriptor h,
                                       const TriangleMesh& tm)
   {
-    if ( is_border_edge(h,tm) )
-      is_node_on_boundary.set(node_id);
-    node_on_edge_map[const_cast<TriangleMesh*>(&tm)][node_id] = h;
+    graph_node_classifier.node_on_edge(node_id, h, tm);
   }
 
   void check_node_on_boundary_vertex_case(std::size_t node_id,
                                         halfedge_descriptor h,
                                         const TriangleMesh& tm)
   {
-    node_on_vertex_map[const_cast<TriangleMesh*>(&tm)][node_id] = target(h,tm);
-
-    //we turn around the hedge and check no halfedge is a border halfedge
-    for(halfedge_descriptor hc :halfedges_around_target(h,tm))
-      if ( is_border_edge(hc,tm) )
-      {
-        is_node_on_boundary.set(node_id);
-        return;
-      }
+    graph_node_classifier.node_on_vertex(node_id, target(h,tm), tm);
   }
 
   //keep track of the fact that a polyhedron original vertex is a node
@@ -486,15 +620,13 @@ public:
                                   const TriangleMesh& tm) // TODO check if we need a special case if the endpoint of the intersect edge is on the third face
   {
     CGAL_assertion(f1!=f2 && f1!=f3 && f2!=f3);
-    is_node_on_boundary.resize(node_id+1, false);
-    TriangleMesh* tm_ptr = const_cast<TriangleMesh*>(&tm);
-    node_on_edge_map[tm_ptr].resize(node_id+1, Graph_traits::null_halfedge());
-    node_on_vertex_map[tm_ptr].resize(node_id+1, Graph_traits::null_vertex());
+    graph_node_classifier.new_node(node_id, tm);
 
 //    user_visitor.new_node_added_triple_face(node_id, f1, f2, f3, tm); // NODE_VISITOR_TAG
 #ifdef CGAL_DEBUG_AUTOREFINEMENT
     std::cout << "adding node " << node_id << " " << f1 << " " << f2 << " " << f3 << "\n";
 #endif
+    TriangleMesh* tm_ptr = const_cast<TriangleMesh*>(&tm);
     on_face[tm_ptr][f1].push_back(node_id);
     on_face[tm_ptr][f2].push_back(node_id);
     on_face[tm_ptr][f3].push_back(node_id);
@@ -509,15 +641,10 @@ public:
                       bool is_target_coplanar,
                       bool is_source_coplanar)
   {
-    is_node_on_boundary.resize(node_id+1, false);
-
     TriangleMesh* tm1_ptr = const_cast<TriangleMesh*>(&tm1);
     TriangleMesh* tm2_ptr = const_cast<TriangleMesh*>(&tm2);
-
-    node_on_edge_map[tm1_ptr].resize(node_id+1, Graph_traits::null_halfedge());
-    node_on_vertex_map[tm1_ptr].resize(node_id+1, Graph_traits::null_vertex());
-    node_on_edge_map[tm2_ptr].resize(node_id+1, Graph_traits::null_halfedge());
-    node_on_vertex_map[tm2_ptr].resize(node_id+1,  Graph_traits::null_vertex());
+    graph_node_classifier.new_node(node_id, *tm1_ptr);
+    graph_node_classifier.new_node(node_id, *tm2_ptr);
 
     //forward to the visitor
 //    user_visitor.new_node_added(node_id, type, h_1, h_2, is_target_coplanar, is_source_coplanar); // NODE_VISITOR_TAG

From 2e24249f13e0b474ff0b7e61a4a3285edb60f899 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Fri, 4 Dec 2020 16:44:22 +0000
Subject: [PATCH 112/317] Triangulation_2:  Change the result type of the
 Intersect_2 functor

---
 .../CGAL/internal/Projection_traits_3.h       | 27 +++++++++----
 .../ConstrainedTriangulationTraits_2.h        |  3 +-
 .../CGAL/Constrained_triangulation_2.h        | 38 ++++++++++++-------
 3 files changed, 44 insertions(+), 24 deletions(-)

diff --git a/Kernel_23/include/CGAL/internal/Projection_traits_3.h b/Kernel_23/include/CGAL/internal/Projection_traits_3.h
index ec721a715ee..a579c4beedd 100644
--- a/Kernel_23/include/CGAL/internal/Projection_traits_3.h
+++ b/Kernel_23/include/CGAL/internal/Projection_traits_3.h
@@ -308,8 +308,13 @@ public:
     return (CGAL::abs(dx)>CGAL::abs(dy)) ? ( p.x()-source.x() ) / dx : (p.y()-source.y() ) / dy;
   }
 
-  Object operator()(const Segment_3& s1, const Segment_3& s2) const
+
+
+  boost::optional< boost::variant<Point_3,Segment_3> >
+  operator()(const Segment_3& s1, const Segment_3& s2) const
   {
+    typedef  boost::variant<Point_3, Segment_3> variant_type;
+
     Point_2 s1_source = project(s1.source());
     Point_2 s1_target = project(s1.target());
     Point_2 s2_source = project(s2.source());
@@ -321,11 +326,14 @@ public:
 
     //compute intersection points in projected plane
     //We know that none of the segment is degenerate
-    Object o = intersection(s1_2,s2_2);
-    const Point_2* pi=CGAL::object_cast<Point_2>(&o);
-    if (pi==nullptr) { //case of segment or empty
-      const Segment_2* si=CGAL::object_cast<Segment_2>(&o);
-      if (si==nullptr) return Object();
+
+    CGAL::cpp11::result_of<typename R::Intersect_2(Segment_2, Segment_2)>::type
+    o = intersection(s1_2,s2_2);
+    if(! 0){
+      return boost::none;
+    }
+
+    if(const Segment_2* si = boost::get<Segment_2>(&*o)){
       FT src[3],tgt[3];
       //the third coordinate is the midpoint between the points on s1 and s2
       FT z1 = s1.source()[dim] + ( alpha(si->source(), s1_source, s1_target) * ( s1.target()[dim] - s1.source()[dim] ));
@@ -343,8 +351,11 @@ public:
       src[Projector<R,dim>::y_index] = si->source().y();
       tgt[Projector<R,dim>::x_index] = si->target().x();
       tgt[Projector<R,dim>::y_index] = si->target().y();
-      return make_object( Segment_3( Point_3(src[0],src[1],src[2]),Point_3(tgt[0],tgt[1],tgt[2]) ) );
+      return boost::make_optional(variant_type(Segment_3( Point_3(src[0],src[1],src[2]),Point_3(tgt[0],tgt[1],tgt[2]) ) ) );
     }
+
+
+    const Point_2* pi = boost::get<Point_2>(&*o);
     FT coords[3];
     //compute the third coordinate of the projected intersection point onto 3D segments
     FT z1 = s1.source()[dim] + ( alpha(*pi, s1_source, s1_target) * ( s1.target()[dim] - s1.source()[dim] ));
@@ -356,7 +367,7 @@ public:
 
     Point_3 res(coords[0],coords[1],coords[2]);
     CGAL_assertion(x(res)==pi->x() && y(res)==pi->y());
-    return make_object(res);
+    return boost::make_optional(variant_type(res));
   }
 };
 
diff --git a/Triangulation_2/doc/Triangulation_2/Concepts/ConstrainedTriangulationTraits_2.h b/Triangulation_2/doc/Triangulation_2/Concepts/ConstrainedTriangulationTraits_2.h
index 0a26f8ee02d..eae059ac51e 100644
--- a/Triangulation_2/doc/Triangulation_2/Concepts/ConstrainedTriangulationTraits_2.h
+++ b/Triangulation_2/doc/Triangulation_2/Concepts/ConstrainedTriangulationTraits_2.h
@@ -39,7 +39,7 @@ public:
 /*!
 A function object whose `operator()` computes the intersection of two segments.
 
-`Object_2 operator()(Segment_2 s1, Segment_2 s2);`
+`boost:optional<boost::variant<Point_2,Segment_2> > operator()(Segment_2 s1, Segment_2 s2);`
 Returns the intersection of `s1` and `s2`.
 */
 typedef unspecified_type Intersect_2;
@@ -113,4 +113,3 @@ compute_squared_distance_2_object();
 /// @}
 
 }; /* end ConstrainedTriangulationTraits_2 */
-
diff --git a/Triangulation_2/include/CGAL/Constrained_triangulation_2.h b/Triangulation_2/include/CGAL/Constrained_triangulation_2.h
index 1ec49ab1581..1d337cd3aaf 100644
--- a/Triangulation_2/include/CGAL/Constrained_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/Constrained_triangulation_2.h
@@ -1710,23 +1710,33 @@ compute_intersection(const Gt& gt,
              const typename Gt::Point_2& pd,
              typename Gt::Point_2& pi)
 {
-  typename Gt::Intersect_2 compute_intersec=gt.intersect_2_object();
-   typename Gt::Construct_segment_2
-    construct_segment=gt.construct_segment_2_object();
-  Object result = compute_intersec(construct_segment(pa,pb),
-                                   construct_segment(pc,pd));
+  typedef typename Gt::Point_2 Point_2;
+  typedef typename Gt::Segment_2 Segment_2;
+  typename Gt::Intersect_2 compute_intersec = gt.intersect_2_object();
+  typename Gt::Construct_segment_2 construct_segment = gt.construct_segment_2_object();
+
+  auto // CGAL::cpp11::result_of<typename Gt::Intersect_2(Segment_2, Segment_2)>::type
+    result = compute_intersec(construct_segment(pa,pb),
+                              construct_segment(pc,pd));
+
+
 #ifdef CGAL_CDT_2_DEBUG_INTERSECTIONS
-  typename Gt::Segment_2 s;
-  if(assign(s, result)) {
-    std::cerr << CGAL::internal::cdt_2_indent_level
-              << "compute_intersection: " << s << '\n';
-  }
-  if(assign(pi, result)) {
-    std::cerr << CGAL::internal::cdt_2_indent_level
-              << "compute_intersection: " << pi << '\n';
+  if(result){
+    if (const Segment_2* s = boost::get<Segment_2>(&*result)){
+      std::cerr << CGAL::internal::cdt_2_indent_level
+                << "compute_intersection: " << *s << '\n';
+    }else if(const Point_2* p = boost::get<Point_2 >(&*result))
+      std::cerr << CGAL::internal::cdt_2_indent_level
+                << "compute_intersection: " << *p << '\n';
   }
 #endif // CGAL_CDT_2_DEBUG_INTERSECTIONS
-  return assign(pi, result);
+  if(result){
+    if(const Point_2* p = boost::get<Point_2 >(&*result)){
+      pi = *p;
+      return true;
+    }
+  }
+  return false;
 }
 
 

From 7314f83ac8f6289c28e77eb0e47ceeae04d54acc Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Mon, 7 Dec 2020 12:41:15 +0000
Subject: [PATCH 113/317] Fixes after comments by Laurent and Marc

---
 Kernel_23/include/CGAL/internal/Projection_traits_3.h | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Kernel_23/include/CGAL/internal/Projection_traits_3.h b/Kernel_23/include/CGAL/internal/Projection_traits_3.h
index a579c4beedd..eb94a85caf6 100644
--- a/Kernel_23/include/CGAL/internal/Projection_traits_3.h
+++ b/Kernel_23/include/CGAL/internal/Projection_traits_3.h
@@ -327,9 +327,9 @@ public:
     //compute intersection points in projected plane
     //We know that none of the segment is degenerate
 
-    CGAL::cpp11::result_of<typename R::Intersect_2(Segment_2, Segment_2)>::type
+    typename CGAL::cpp11::result_of<typename R::Intersect_2(Segment_2, Segment_2)>::type
     o = intersection(s1_2,s2_2);
-    if(! 0){
+    if(! o){
       return boost::none;
     }
 

From 4079954ee0d2eadba4d20d0fc5c0f62b4e5b8e71 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Tue, 8 Dec 2020 16:27:21 +0000
Subject: [PATCH 114/317] Fix Triangulation_2_projection_traits_3

---
 ...Triangulation_2_projection_traits_base_3.h | 19 ++++++++++---------
 1 file changed, 10 insertions(+), 9 deletions(-)

diff --git a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
index 984d2381035..f5b8135a83d 100644
--- a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
+++ b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
@@ -185,7 +185,8 @@ public:
     CGAL_TIME_PROFILER("Construct Projected_intersect_3")
   }
 
-  Object operator()(const Segment& s1, const Segment& s2)
+  boost::optional<boost::variant<Point,Segment> >
+  operator()(const Segment& s1, const Segment& s2)
   {
     CGAL_PROFILER("Projected_intersect_3::operator()")
     CGAL_TIME_PROFILER("Projected_intersect_3::operator()")
@@ -200,12 +201,12 @@ public:
     const Plane_3 plane_1(s1.source(), u1);
     const Plane_3 plane_2(s2.source(), u2);
 
-    Object planes_intersection = intersection(plane_1, plane_2);
-    if(planes_intersection.empty()) {
+    auto planes_intersection = intersection(plane_1, plane_2);
+    if(! planes_intersection) {
       std::cerr << "planes_intersection is empty\n";
-      return planes_intersection;
+      return boost::none;
     }
-    if(const Line* line = object_cast<Line>(&planes_intersection))
+    if(const Line* line = boost::get<Line>(&*planes_intersection))
     {
       const Point& pi = line->point(0);
       if(cross_product(normal, pi - s1.source())
@@ -216,7 +217,7 @@ public:
       {
         // the intersection of the lines is not inside the segments
         std::cerr << "intersection not inside\n";
-        return Object();
+        return boost::none;
       }
       else
       {
@@ -228,13 +229,13 @@ public:
                                                          s2.to_vector())));
       }
     }
-    if(object_cast<Plane_3>(&planes_intersection))
+    if(boost::get<Plane_3>(&*planes_intersection))
     {
       std::cerr << "coplanar lines\n";
       CGAL_error();
-      return Object();
+      return boost::none;
     }
-    return Object();
+    return boost::none;
   }
 }; // end class Projected_intersect_3
 

From 31037aa014052938766512102ef0cb1aadb9465d Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Tue, 8 Dec 2020 16:48:19 +0000
Subject: [PATCH 115/317] Fix Triangulation_2_projection_traits_3

---
 .../Triangulation_2_projection_traits_base_3.h      | 13 ++++++++++---
 1 file changed, 10 insertions(+), 3 deletions(-)

diff --git a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
index f5b8135a83d..04ae968671e 100644
--- a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
+++ b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
@@ -224,9 +224,16 @@ public:
         // Let the plane passing through s1.source() and with normal
         // the cross product of s1.to_vector() and s2.to_vector(). That
         // plane should intersect *l, now.
-        return intersection(*line, Plane_3(s1.source(),
-                                           cross_product(s1.to_vector(),
-                                                         s2.to_vector())));
+        auto inter = intersection(*line, Plane_3(s1.source(),
+                                                 cross_product(s1.to_vector(),
+                                                               s2.to_vector())));
+        if(! inter){
+          return boost::none;
+        }
+        if(const Point* point = boost::get<Point>(&*inter)){
+          typedef  boost::variant<Point, Segment> variant_type;
+          return boost::make_optional(variant_type(*point));
+        }
       }
     }
     if(boost::get<Plane_3>(&*planes_intersection))

From f3330b91d6e23dc7504b61df7c81b7828eab7972 Mon Sep 17 00:00:00 2001
From: Raphael Grimm <raphael.grimm@kit.edu>
Date: Fri, 18 Dec 2020 08:59:24 +0100
Subject: [PATCH 116/317] Add move ctor and move assign to
 Side_of_triangle_mesh

---
 .../include/CGAL/Side_of_triangle_mesh.h      | 44 +++++++++++++++++++
 1 file changed, 44 insertions(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
index 151f8d4e805..4a9415de26d 100644
--- a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
@@ -181,6 +181,27 @@ public:
     box = tree.bbox();
   }
 
+#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
+  /**
+  * Constructor moving an instance of Side_of_triangle_mesh to a new memory
+  * location with minimal memory copy.
+  * @param other The instance to be moved
+  */
+  Side_of_triangle_mesh(Side_of_triangle_mesh&& other) :
+    tm_ptr{other.tm_ptr},
+    opt_vpm{std::move(other.opt_vpm)},
+    own_tree{other.own_tree},
+    box{other.box},
+    #ifdef CGAL_HAS_THREADS
+      atomic_tree_ptr{other.atomic_tree_ptr.load()}
+    #else
+      tree_ptr{other.tree_ptr}
+    #endif
+  {
+    other.own_tree = false;
+  }
+#endif
+
   ~Side_of_triangle_mesh()
   {
     if (own_tree)
@@ -192,6 +213,29 @@ public:
   }
 
 public:
+#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
+  /**
+  * Assign operator moving an instance of Side_of_triangle_mesh to this
+  * location with minimal memory copy.
+  * @param other The instance to be moved
+  * @return A reference to this
+  */
+  Side_of_triangle_mesh& operator=(Side_of_triangle_mesh&& other)
+  {
+    tm_ptr = other.tm_ptr;
+    opt_vpm = std::move(other.opt_vpm);
+    own_tree = other.own_tree;
+    box = other.box;
+    other.own_tree = false;
+    #ifdef CGAL_HAS_THREADS
+      atomic_tree_ptr = atomic_tree_ptr.load();
+    #else
+      tree_ptr = other.tree_ptr;
+    #endif
+    return *this;
+  }
+#endif
+
   /**
    * returns the location of a query point
    * @param point the query point to be located with respect to the input

From 7bd2923bc3f371736429e929f80a7a456d75a70f Mon Sep 17 00:00:00 2001
From: Raphael Grimm <raphael.grimm@kit.edu>
Date: Fri, 18 Dec 2020 10:31:18 +0100
Subject: [PATCH 117/317] Remove BOOST_NO_CXX11_RVALUE_REFERENCES

---
 Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h | 4 ----
 1 file changed, 4 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
index 4a9415de26d..c2353ca813b 100644
--- a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
@@ -181,7 +181,6 @@ public:
     box = tree.bbox();
   }
 
-#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
   /**
   * Constructor moving an instance of Side_of_triangle_mesh to a new memory
   * location with minimal memory copy.
@@ -200,7 +199,6 @@ public:
   {
     other.own_tree = false;
   }
-#endif
 
   ~Side_of_triangle_mesh()
   {
@@ -213,7 +211,6 @@ public:
   }
 
 public:
-#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
   /**
   * Assign operator moving an instance of Side_of_triangle_mesh to this
   * location with minimal memory copy.
@@ -234,7 +231,6 @@ public:
     #endif
     return *this;
   }
-#endif
 
   /**
    * returns the location of a query point

From c395a5d3f765ebedd29c4de930a0522bfb4d3aa3 Mon Sep 17 00:00:00 2001
From: Raphael Grimm <raphael.grimm@kit.edu>
Date: Fri, 18 Dec 2020 10:54:42 +0100
Subject: [PATCH 118/317] Add std::move to all members

---
 .../include/CGAL/Side_of_triangle_mesh.h         | 16 ++++++++--------
 1 file changed, 8 insertions(+), 8 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
index c2353ca813b..08dd5262afe 100644
--- a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
@@ -187,14 +187,14 @@ public:
   * @param other The instance to be moved
   */
   Side_of_triangle_mesh(Side_of_triangle_mesh&& other) :
-    tm_ptr{other.tm_ptr},
+    tm_ptr{std::move(other.tm_ptr)},
     opt_vpm{std::move(other.opt_vpm)},
-    own_tree{other.own_tree},
-    box{other.box},
+    own_tree{std::move(other.own_tree)},
+    box{std::move(other.box)},
     #ifdef CGAL_HAS_THREADS
       atomic_tree_ptr{other.atomic_tree_ptr.load()}
     #else
-      tree_ptr{other.tree_ptr}
+      tree_ptr{std::move(other.tree_ptr)}
     #endif
   {
     other.own_tree = false;
@@ -219,15 +219,15 @@ public:
   */
   Side_of_triangle_mesh& operator=(Side_of_triangle_mesh&& other)
   {
-    tm_ptr = other.tm_ptr;
+    tm_ptr = std::move(other.tm_ptr);
     opt_vpm = std::move(other.opt_vpm);
-    own_tree = other.own_tree;
-    box = other.box;
+    own_tree = std::move(other.own_tree);
+    box = std::move(other.box);
     other.own_tree = false;
     #ifdef CGAL_HAS_THREADS
       atomic_tree_ptr = atomic_tree_ptr.load();
     #else
-      tree_ptr = other.tree_ptr;
+      tree_ptr = std::move(other.tree_ptr);
     #endif
     return *this;
   }

From 4b5e25893aa31d0299ab89b8cc16aff18c7e9450 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 18 Dec 2020 16:04:36 +0100
Subject: [PATCH 119/317] If there is only one patch, let the user chose its
 color for the tests

---
 Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp | 17 ++++++++++++++---
 Polyhedron/demo/Polyhedron/Scene_c3t3_item.h   |  1 +
 2 files changed, 15 insertions(+), 3 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp b/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
index ed1fd56a3ec..3aaf96e21c3 100644
--- a/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
@@ -102,8 +102,12 @@ public :
   }
   void setColor(QColor c) Q_DECL_OVERRIDE
   {
-    qobject_cast<Scene_c3t3_item*>(this->parent())->setColor(c);
+    Scene_c3t3_item* p_item = qobject_cast<Scene_c3t3_item*>(this->parent());
+    if(p_item->number_of_patches() > 1)
+      p_item->setColor(c);
     Scene_item::setColor(c);
+    if(p_item->number_of_patches() <= 1)
+      p_item->changed();
   }
   // Indicates if rendering mode is supported
   bool supportsRenderingMode(RenderingMode m) const Q_DECL_OVERRIDE{
@@ -1308,7 +1312,11 @@ void Scene_c3t3_item_priv::computeIntersection(const Primitive& cell)
 
   typedef unsigned char UC;
   Tr::Cell_handle ch = cell.id();
-  QColor c = this->colors_subdomains[ch->subdomain_index()].lighter(50);
+  QColor c;
+  if(surface_patch_indices_.size()>1)
+    c = this->colors_subdomains[ch->subdomain_index()].lighter(50);
+  else
+    c = intersection->color();
 
   const Tr::Bare_point& pa = wp2p(ch->vertex(0)->point());
   const Tr::Bare_point& pb = wp2p(ch->vertex(1)->point());
@@ -2117,6 +2125,9 @@ double Scene_c3t3_item::get_sharp_edges_angle() { return d->sharp_edges_angle; }
 void Scene_c3t3_item::set_detect_borders(bool b) { d->detect_borders = b;}
 bool Scene_c3t3_item::get_detect_borders() { return d->detect_borders; }
 
-
+std::size_t Scene_c3t3_item::number_of_patches() const
+{
+  return d->surface_patch_indices_.size();
+}
 #include "Scene_c3t3_item.moc"
 
diff --git a/Polyhedron/demo/Polyhedron/Scene_c3t3_item.h b/Polyhedron/demo/Polyhedron/Scene_c3t3_item.h
index d71d906fce3..7d5e343ded0 100644
--- a/Polyhedron/demo/Polyhedron/Scene_c3t3_item.h
+++ b/Polyhedron/demo/Polyhedron/Scene_c3t3_item.h
@@ -128,6 +128,7 @@ public:
     float getShrinkFactor() const;
     bool keyPressEvent(QKeyEvent *) Q_DECL_OVERRIDE;
     bool eventFilter(QObject *, QEvent *) Q_DECL_OVERRIDE;
+    std::size_t number_of_patches() const;
   public Q_SLOTS:
 
   void on_spheres_color_changed();

From 695ff0f3b316ded9725b9b6ebc145bc4d88c6887 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Tue, 5 Jan 2021 15:39:06 +0000
Subject: [PATCH 120/317] Fix doc of Projection_traits_xy_3

---
 Kernel_23/doc/Kernel_23/CGAL/Projection_traits_xy_3.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_xy_3.h b/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_xy_3.h
index 56b476d9735..63759e8c3ba 100644
--- a/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_xy_3.h
+++ b/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_xy_3.h
@@ -77,7 +77,7 @@ typedef Line_3<K> Line_2;
 A construction object.
 Provides the operator :
 
-`Object_2 operator()(Segment_2 s1, Segment_2 s2);`
+`boost::optional< boost::variant<Point_2,Segment_2> > operator()(Segment_2 s1, Segment_2 s2);`
 which returns a 3D object whose projection on the xy-plane
 is the intersection of the projections of `s1` and `s2`.
 If non empty, the returned object is either a segment or a point.

From 1e249afdb39cfc718b7983f262bc7a3a11862a57 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 10 Nov 2020 19:21:21 +0100
Subject: [PATCH 121/317] remove some boost::bind

---
 AABB_tree/include/CGAL/AABB_traits.h          |  7 +-
 Generator/include/CGAL/random_convex_set_2.h  |  8 +-
 .../include/CGAL/sorted_matrix_search.h       | 73 ++++++++-----------
 .../sorted_matrix_search_test.cpp             |  2 +
 .../Straight_skeleton_builder_2_impl.h        |  5 +-
 .../include/CGAL/Triangulation_3.h            | 17 +----
 6 files changed, 43 insertions(+), 69 deletions(-)

diff --git a/AABB_tree/include/CGAL/AABB_traits.h b/AABB_tree/include/CGAL/AABB_traits.h
index 470420162a7..613d08c174b 100644
--- a/AABB_tree/include/CGAL/AABB_traits.h
+++ b/AABB_tree/include/CGAL/AABB_traits.h
@@ -26,7 +26,6 @@
 #include <CGAL/internal/AABB_tree/Primitive_helper.h>
 
 #include <boost/optional.hpp>
-#include <boost/bind.hpp>
 
 /// \file AABB_traits.h
 
@@ -274,13 +273,13 @@ public:
         switch(Traits::longest_axis(bbox))
         {
         case AT::CGAL_AXIS_X: // sort along x
-          std::nth_element(first, middle, beyond, boost::bind(Traits::less_x,_1,_2,m_traits));
+          std::nth_element(first, middle, beyond, [this](const Primitive& p1, const Primitive& p2){ return Traits::less_x(p1, p2, this->m_traits); });
           break;
         case AT::CGAL_AXIS_Y: // sort along y
-          std::nth_element(first, middle, beyond, boost::bind(Traits::less_y,_1,_2,m_traits));
+          std::nth_element(first, middle, beyond, [this](const Primitive& p1, const Primitive& p2){ return Traits::less_y(p1, p2, this->m_traits); });
           break;
         case AT::CGAL_AXIS_Z: // sort along z
-          std::nth_element(first, middle, beyond, boost::bind(Traits::less_z,_1,_2,m_traits));
+          std::nth_element(first, middle, beyond, [this](const Primitive& p1, const Primitive& p2){ return Traits::less_z(p1, p2, this->m_traits); });
           break;
         default:
           CGAL_error();
diff --git a/Generator/include/CGAL/random_convex_set_2.h b/Generator/include/CGAL/random_convex_set_2.h
index a118503b4c3..56313839e55 100644
--- a/Generator/include/CGAL/random_convex_set_2.h
+++ b/Generator/include/CGAL/random_convex_set_2.h
@@ -23,7 +23,6 @@
 #include <algorithm>
 #include <numeric>
 #include <CGAL/Random_convex_set_traits_2.h>
-#include <boost/functional.hpp>
 
 namespace CGAL {
 
@@ -80,7 +79,7 @@ random_convex_set_2( std::size_t n,
     points.begin(),
     points.end(),
     points.begin(),
-    boost::bind2nd( Sum(), scale( centroid, FT( -1))));
+    [&centroid, &sum, &scale](const Point_2& p) { return sum(p, scale(centroid, FT( -1))); });
 
   // sort them according to their direction's angle
   // w.r.t. the positive x-axis:
@@ -102,8 +101,7 @@ random_convex_set_2( std::size_t n,
     points.begin(),
     points.end(),
     points.begin(),
-    boost::bind2nd( Sum(), sum( centroid,
-                         scale( new_centroid, FT( -1)))));
+    [&centroid, &sum, &scale](const Point_2& p) { return sum(p, scale(centroid, FT( -1))); });
 
   // compute maximal coordinate:
   FT maxcoord( max_coordinate(
@@ -118,7 +116,7 @@ random_convex_set_2( std::size_t n,
     points.begin(),
     points.end(),
     o,
-    boost::bind2nd( Scale(), FT( pg.range()) / maxcoord));
+    [&pg, &maxcoord, &scale](const Point_2& p){ return scale(p, FT( pg.range()) / maxcoord); });
 
 } // random_convex_set_2( n, o, pg, t)
 
diff --git a/Matrix_search/include/CGAL/sorted_matrix_search.h b/Matrix_search/include/CGAL/sorted_matrix_search.h
index 8d2cf105ffb..dd21234b4f5 100644
--- a/Matrix_search/include/CGAL/sorted_matrix_search.h
+++ b/Matrix_search/include/CGAL/sorted_matrix_search.h
@@ -18,7 +18,6 @@
 
 #include <CGAL/basic.h>
 #include <CGAL/Optimisation/assertions.h>
-#include <boost/bind.hpp>
 #include <algorithm>
 #include <vector>
 #include <CGAL/Sorted_matrix_search_traits_adaptor.h>
@@ -254,10 +253,10 @@ sorted_matrix_search(InputIterator f, InputIterator l, Traits t)
     std::nth_element(active_cells.begin(),
                 active_cells.begin() + upper_median_rank,
                 active_cells.end(),
-                boost::bind(
-                  t.compare_strictly(),
-                  boost::bind(Cell_min<Cell>(), _1),
-                  boost::bind(Cell_min<Cell>(), _2)));
+                [&t](const Cell& c1, const Cell& c2)
+                {
+                  return t.compare_strictly()(Cell_min<Cell>()(c1), Cell_min<Cell>()(c2));
+                });
 
     Cell_iterator lower_median_cell =
       active_cells.begin() + upper_median_rank;
@@ -267,10 +266,10 @@ sorted_matrix_search(InputIterator f, InputIterator l, Traits t)
     std::nth_element(active_cells.begin(),
                 active_cells.begin() + lower_median_rank,
                 active_cells.end(),
-                boost::bind(
-                  t.compare_strictly(),
-                  boost::bind(Cell_max< Cell >(ccd), _1),
-                  boost::bind(Cell_max< Cell >(ccd), _2)));
+                [&t, &ccd](const Cell& c1, const Cell& c2)
+                {
+                  return t.compare_strictly()(Cell_max< Cell >(ccd)(c1), Cell_max< Cell >(ccd)(c2));
+                });
 
     Cell_iterator upper_median_cell =
       active_cells.begin() + lower_median_rank;
@@ -282,10 +281,10 @@ sorted_matrix_search(InputIterator f, InputIterator l, Traits t)
       lower_median_cell =
         find_if(active_cells.begin(),
                 active_cells.end(),
-                boost::bind(
-                  equal_to< Value >(),
-                  lower_median,
-                  boost::bind(Cell_min< Cell >(), _1)));
+                [&lower_median](const Cell& c)
+                {
+                  return equal_to< Value >()(lower_median, Cell_min< Cell >()(c));
+                });
     CGAL_optimisation_assertion(lower_median_cell != active_cells.end());
     // ------------------------------------------------------
     // test feasibility of medians and remove cells accordingly:
@@ -318,10 +317,10 @@ sorted_matrix_search(InputIterator f, InputIterator l, Traits t)
           remove_if(
             active_cells.begin() + 1,
             active_cells.end(),
-            boost::bind(
-              t.compare_non_strictly(),
-              min_median,
-              boost::bind(Cell_min< Cell >(), _1)));
+            [&t, &min_median](const Cell& c)
+            {
+              return t.compare_non_strictly()(min_median, Cell_min< Cell >()(c));
+            });
 
       } // lower_median and upper_median are feasible
       else { // lower_median is feasible, but upper_median is not
@@ -337,16 +336,11 @@ sorted_matrix_search(InputIterator f, InputIterator l, Traits t)
           remove_if(
             active_cells.begin() + 1,
             active_cells.end(),
-            boost::bind(
-              logical_or< bool >(),
-              boost::bind(
-                t.compare_non_strictly(),
-                lower_median,
-                boost::bind(Cell_min< Cell >(), _1)),
-              boost::bind(
-                  t.compare_non_strictly(),
-                  boost::bind(Cell_max< Cell >( ccd), _1),
-                  upper_median)));
+            [&t, &lower_median, &upper_median, &ccd](const Cell& c)
+            {
+              return t.compare_non_strictly()(lower_median, Cell_min< Cell >()(c)) ||
+                     t.compare_non_strictly()(Cell_max< Cell >(ccd)(c), upper_median);
+            });
 
       } // lower_median is feasible, but upper_median is not
     else
@@ -364,16 +358,11 @@ sorted_matrix_search(InputIterator f, InputIterator l, Traits t)
           remove_if(
             active_cells.begin() + 1,
             active_cells.end(),
-            boost::bind(
-              logical_or< bool >(),
-              boost::bind(
-                t.compare_non_strictly(),
-                upper_median,
-                boost::bind(Cell_min< Cell >(), _1)),
-              boost::bind(
-                t.compare_non_strictly(),
-                boost::bind(Cell_max< Cell >( ccd), _1),
-                lower_median)));
+            [&t, &lower_median, &upper_median, &ccd](const Cell& c)
+            {
+              return t.compare_non_strictly()(upper_median, Cell_min<Cell>()(c)) ||
+                     t.compare_non_strictly()(Cell_max<Cell>(ccd)(c),lower_median);
+            });
 
       } // upper_median is feasible, but lower_median is not
       else { // both upper_median and lower_median are infeasible
@@ -385,11 +374,11 @@ sorted_matrix_search(InputIterator f, InputIterator l, Traits t)
           remove_if(
             active_cells.begin(),
             active_cells.end(),
-            boost::bind(
-              t.compare_non_strictly(),
-              boost::bind(Cell_max< Cell >( ccd), _1),
-              max BOOST_PREVENT_MACRO_SUBSTITUTION ( lower_median, upper_median)));
-
+            [&t, &ccd, &lower_median, &upper_median](const Cell& c)
+            {
+              return t.compare_non_strictly()(Cell_max<Cell>( ccd)(c),
+                                              max BOOST_PREVENT_MACRO_SUBSTITUTION ( lower_median, upper_median));
+            });
       } // both upper_median and lower_median are infeasible
 
     active_cells.erase( new_end, active_cells.end());
diff --git a/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp b/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp
index af9d062c74f..999babe16fd 100644
--- a/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp
+++ b/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp
@@ -16,6 +16,8 @@
 #include <vector>
 #include <cstdlib>
 
+#include <boost/bind.hpp>
+
 template < class Matrix_iterator, class Value >
 Value
 compute_upper_bound( Matrix_iterator f,
diff --git a/Straight_skeleton_2/include/CGAL/Straight_skeleton_2/Straight_skeleton_builder_2_impl.h b/Straight_skeleton_2/include/CGAL/Straight_skeleton_2/Straight_skeleton_builder_2_impl.h
index e2936def38a..5adacb71a4f 100644
--- a/Straight_skeleton_2/include/CGAL/Straight_skeleton_2/Straight_skeleton_builder_2_impl.h
+++ b/Straight_skeleton_2/include/CGAL/Straight_skeleton_2/Straight_skeleton_builder_2_impl.h
@@ -17,7 +17,6 @@
 #include <CGAL/Real_timer.h>
 #include <CGAL/Unique_hash_map.h>
 
-#include <boost/bind.hpp>
 #include <boost/utility.hpp>
 #include <boost/version.hpp>
 #if BOOST_VERSION == 106000
@@ -2018,12 +2017,12 @@ bool Straight_skeleton_builder_2<Gt,Ss,V>::FinishUp()
 
   std::for_each( mSplitNodes.begin()
                 ,mSplitNodes.end  ()
-                ,boost::bind(&Straight_skeleton_builder_2<Gt,Ss,V>::MergeSplitNodes,this,_1)
+                ,[this](Vertex_handle_pair p){ this->MergeSplitNodes(p); }
                ) ;
 
   std::for_each( mDanglingBisectors.begin()
                 ,mDanglingBisectors.end  ()
-                ,boost::bind(&Straight_skeleton_builder_2<Gt,Ss,V>::EraseBisector,this,_1)
+                ,[this](Halfedge_handle db){ this->EraseBisector(db); }
                ) ;
 
   // MergeCoincidentNodes() locks all extremities of halfedges that have a vertex involved in a multinode.
diff --git a/Triangulation_3/include/CGAL/Triangulation_3.h b/Triangulation_3/include/CGAL/Triangulation_3.h
index 4e4c5606545..df69bf1f1b6 100644
--- a/Triangulation_3/include/CGAL/Triangulation_3.h
+++ b/Triangulation_3/include/CGAL/Triangulation_3.h
@@ -53,7 +53,6 @@
 #include <CGAL/Bbox_3.h>
 #include <CGAL/Spatial_lock_grid_3.h>
 
-#include <boost/bind.hpp>
 #include <boost/random/linear_congruential.hpp>
 #include <boost/random/uniform_smallint.hpp>
 #include <boost/random/variate_generator.hpp>
@@ -7294,22 +7293,10 @@ operator==(const Triangulation_3<GT, Tds1, Lds>& t1,
     std::vector<Point> V2 (t2.points_begin(), t2.points_end());
 
     std::sort(V1.begin(), V1.end(),
-              boost::bind<Comparison_result>(
-                cmp1,
-                boost::bind<
-                typename boost::result_of<const Construct_point_3(const Point&)>::type>(cp, _1),
-                boost::bind<
-                typename boost::result_of<const Construct_point_3(const Point&)>::type>(cp, _2))
-              == SMALLER);
+              [&cmp1, &cp](const Point& p1, const Point& p2){ return cmp1(cp(p1), cp(p2))==SMALLER; });
 
     std::sort(V2.begin(), V2.end(),
-              boost::bind<Comparison_result>(
-                cmp2,
-                boost::bind<
-                typename boost::result_of<const Construct_point_3(const Point&)>::type>(cp, _1),
-                boost::bind<
-                typename boost::result_of<const Construct_point_3(const Point&)>::type>(cp, _2))
-              == SMALLER);
+              [&cmp2, &cp](const Point& p1, const Point& p2){ return cmp2(cp(p1), cp(p2))==SMALLER; });
 
     return V1 == V2;
   }

From c4ad713b9ef080d8c376489a1bba6e12c98c3446 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 11:40:22 +0100
Subject: [PATCH 122/317] replace bind in Convex_hull_2

---
 .../Convex_hull_2/ch_graham_anderson.cpp      |  3 +-
 .../Convex_hull_2/ch_akl_toussaint_impl.h     |  7 ++--
 .../CGAL/Convex_hull_2/ch_bykat_impl.h        | 33 +++++++++++--------
 .../include/CGAL/Convex_hull_2/ch_eddy_impl.h | 19 +++++++----
 .../CGAL/Convex_hull_2/ch_jarvis_impl.h       |  7 ++--
 5 files changed, 41 insertions(+), 28 deletions(-)

diff --git a/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp b/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp
index bc98d8c91ed..cc50d5f5c1b 100644
--- a/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp
+++ b/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp
@@ -2,7 +2,6 @@
 #include <CGAL/ch_graham_andrew.h>
 #include <vector>
 #include <algorithm>
-#include <boost/bind.hpp>
 
 
 typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
@@ -23,7 +22,7 @@ ch_graham_anderson( InputIterator  first, InputIterator  beyond,
   std::vector< Point_2 >  V (first, beyond);
   typename std::vector< Point_2 >::iterator it =
                std::min_element(V.begin(), V.end(), Less_xy_2());
-  std::sort( V.begin(), V.end(), boost::bind(Less_rotate_ccw_2(), *it, _1, _2) );
+  std::sort( V.begin(), V.end(), [it](const Point_2& p1, const Point_2& p2){return Less_rotate_ccw_2()(*it, p1, p2);} );
   if ( *(V.begin()) != *(V.rbegin()) )
   {
     result = CGAL::ch_graham_andrew_scan( V.begin(), V.end(), result, ch_traits);
diff --git a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_akl_toussaint_impl.h b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_akl_toussaint_impl.h
index c06435efcef..0fdc1a0367b 100644
--- a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_akl_toussaint_impl.h
+++ b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_akl_toussaint_impl.h
@@ -25,7 +25,6 @@
 #include <CGAL/ch_graham_andrew.h>
 #include <CGAL/algorithm.h>
 #include <CGAL/IO/Tee_for_output_iterator.h>
-#include <boost/bind.hpp>
 #include <CGAL/tuple.h>
 #include <CGAL/utility.h>
 #include <iterator>
@@ -296,9 +295,11 @@ ch_akl_toussaint(ForwardIterator first, ForwardIterator last,
   std::sort( std::next(region2.begin() ), region2.end(),
              ch_traits.less_xy_2_object() );
   std::sort( std::next(region3.begin() ), region3.end(),
-             boost::bind(ch_traits.less_xy_2_object(), _2, _1) );
+             [&ch_traits](const Point_2& p1, const Point_2& p2)
+             { return ch_traits.less_xy_2_object()(p2, p1); });
   std::sort( std::next(region4.begin() ), region4.end(),
-             boost::bind(ch_traits.less_xy_2_object(), _2, _1) );
+             [&ch_traits](const Point_2& p1, const Point_2& p2)
+             { return ch_traits.less_xy_2_object()(p2, p1); });
 
   if (! equal_points(*w,*s) )
   {
diff --git a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h
index 32334e4e7f9..0b4ae797fb3 100644
--- a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h
+++ b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h
@@ -26,7 +26,6 @@
 #include <CGAL/algorithm.h>
 #include <list>
 #include <algorithm>
-#include <boost/bind.hpp>
 
 namespace CGAL {
 template <class InputIterator, class OutputIterator, class Traits>
@@ -77,18 +76,21 @@ ch_bykat(InputIterator first, InputIterator last,
   H.push_back( a );
   L.push_back( P.begin() );
   R.push_back( l = std::partition(P.begin(), P.end(),
-                                  boost::bind(left_turn, boost::cref(a), boost::cref(b), _1)));
-  r = std::partition( l, P.end(), boost::bind(left_turn, boost::cref(b), boost::cref(a), _1));
+                                  [&left_turn, &a, &b](const Point_2& p){ return left_turn(a,b,p); }) );
+  r = std::partition( l, P.end(), [&left_turn, &a, &b](const Point_2& p){ return left_turn(b,a,p); });
 
   for (;;)
   {
       if ( l != r)
       {
-        Point_2 c = *std::min_element( l, r, boost::bind(less_dist, boost::cref(a), boost::cref(b), _1, _2));
+        Point_2 c = *std::min_element( l, r, [&less_dist,&a,&b](const Point_2&p1, const Point_2& p2)
+                                             { return less_dist(a, b, p1, p2); });
           H.push_back( b );
           L.push_back( l );
-          R.push_back( l = std::partition(l, r, boost::bind(left_turn, boost::cref(b), boost::cref(c), _1)));
-          r = std::partition(l, r, boost::bind(left_turn, boost::cref(c), boost::cref(a), _1));
+          R.push_back( l = std::partition(l, r, [&left_turn,&c,&b](const Point_2&p)
+                                                { return left_turn(b, c, p); }));
+          r = std::partition(l, r, [&left_turn,&c,&a](const Point_2&p)
+                                   { return left_turn(c, a, p); });
           b = c;
       }
       else
@@ -173,8 +175,10 @@ ch_bykat_with_threshold(InputIterator   first, InputIterator last,
   H.push_back( a );
   L.push_back( Pbegin );
   Left_turn_2 left_turn = ch_traits.left_turn_2_object();
-  R.push_back( l = std::partition( Pbegin, Pend,  boost::bind(left_turn, boost::cref(a), boost::cref(b), _1)));
-  r = std::partition( l, Pend, boost::bind(left_turn, boost::cref(b), boost::cref(a), _1));
+  R.push_back( l = std::partition( Pbegin, Pend,  [&left_turn,&a,&b](const Point_2&p)
+                                                  { return left_turn(a, b, p); }));
+  r = std::partition( l, Pend, [&left_turn,&a,&b](const Point_2&p)
+                               { return left_turn(b, a, p); });
 
   Less_dist less_dist = ch_traits.less_signed_distance_to_line_2_object();
   for (;;)
@@ -183,11 +187,14 @@ ch_bykat_with_threshold(InputIterator   first, InputIterator last,
       {
           if ( r-l > CGAL_ch_THRESHOLD )
           {
-              Point_2 c = *std::min_element( l, r, boost::bind(less_dist, boost::cref(a), boost::cref(b), _1, _2));
+              Point_2 c = *std::min_element( l, r, [&less_dist,&a,&b](const Point_2&p1, const Point_2& p2)
+                                                   { return less_dist(a, b, p1, p2); });
               H.push_back( b );
               L.push_back( l );
-              R.push_back( l = std::partition(l, r, boost::bind(left_turn, boost::cref(b), boost::cref(c), _1)));
-              r = std::partition(l, r, boost::bind(left_turn, boost::cref(c), boost::cref(a), _1));
+              R.push_back( l = std::partition(l, r, [&left_turn,&c,&b](const Point_2&p)
+                                                    { return left_turn(b, c, p); }));
+              r = std::partition(l, r, [&left_turn,&a,&c](const Point_2&p)
+                                       { return left_turn(c, a, p); });
               b = c;
           }
           else
@@ -201,8 +208,8 @@ ch_bykat_with_threshold(InputIterator   first, InputIterator last,
               }
               else
               {
-                std::sort(std::next(l), r,
-                            boost::bind(ch_traits.less_xy_2_object(), _2, _1) );
+                std::sort(std::next(l), r, [&ch_traits](const Point_2&p1, const Point_2& p2)
+                                           { return ch_traits.less_xy_2_object()(p2, p1); });
               }
               ch__ref_graham_andrew_scan(l, std::next(r), res, ch_traits);
               std::swap( a, *l);
diff --git a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_eddy_impl.h b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_eddy_impl.h
index 2a7b29c2ddd..19df2467657 100644
--- a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_eddy_impl.h
+++ b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_eddy_impl.h
@@ -25,7 +25,6 @@
 #include <CGAL/algorithm.h>
 #include <list>
 #include <algorithm>
-#include <boost/bind.hpp>
 
 namespace CGAL {
 
@@ -45,7 +44,8 @@ ch__recursive_eddy(List& L,
 
   CGAL_ch_precondition( \
     std::find_if(a_it, b_it, \
-                 boost::bind(left_turn, *b_it, *a_it, _1)) \
+                 [&left_turn, a_it, b_it](const Point_2& p)
+                 { return left_turn(*b_it, *a_it, p); }) \
     != b_it );
 
 
@@ -53,11 +53,14 @@ ch__recursive_eddy(List& L,
   Less_dist less_dist = ch_traits.less_signed_distance_to_line_2_object();
   ListIterator
       c_it = std::min_element( f_it, b_it,  // max before
-                               boost::bind(less_dist, *a_it, *b_it, _1, _2));
+                               [&less_dist, a_it, b_it](const Point_2& p1, const Point_2& p2)
+                               { return less_dist(*a_it, *b_it, p1, p2); });
   Point_2 c = *c_it;
 
-  c_it = std::partition(f_it, b_it, boost::bind(left_turn, c, *a_it, _1));
-  f_it = std::partition(c_it, b_it, boost::bind(left_turn, *b_it, c, _1));
+  c_it = std::partition(f_it, b_it, [&left_turn, &c, a_it](const Point_2& p)
+                                    {return left_turn(c, *a_it, p);});
+  f_it = std::partition(c_it, b_it, [&left_turn, &c, b_it](const Point_2& p)
+                                    {return left_turn(*b_it, c, p);});
   c_it = L.insert(c_it, c);
   L.erase( f_it, b_it );
 
@@ -104,7 +107,8 @@ ch_eddy(InputIterator first, InputIterator last,
   L.erase(e);
 
   e = std::partition(L.begin(), L.end(),
-                     boost::bind(left_turn, ep, wp, _1) );
+                     [&left_turn, &wp, &ep](const Point_2& p)
+                     {return left_turn(ep, wp, p);} );
   L.push_front(wp);
   e = L.insert(e, ep);
 
@@ -112,7 +116,8 @@ ch_eddy(InputIterator first, InputIterator last,
   {
       ch__recursive_eddy( L, L.begin(), e, ch_traits);
   }
-  w = std::find_if( e, L.end(), boost::bind(left_turn, wp, ep, _1) );
+  w = std::find_if( e, L.end(), [&left_turn, &wp, &ep](const Point_2& p)
+                                { return left_turn(wp, ep, p); });
   if ( w == L.end() )
   {
       L.erase( ++e, L.end() );
diff --git a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_jarvis_impl.h b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_jarvis_impl.h
index c5d3309cbd0..65b2d1fc29c 100644
--- a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_jarvis_impl.h
+++ b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_jarvis_impl.h
@@ -24,7 +24,6 @@
 #include <CGAL/Convex_hull_2/ch_assertions.h>
 #include <CGAL/ch_selected_extreme_points_2.h>
 #include <algorithm>
-#include <boost/bind.hpp>
 
 namespace CGAL {
 
@@ -65,7 +64,8 @@ ch_jarvis_march(ForwardIterator first, ForwardIterator last,
       Point previous_point = start_p; )
 
   ForwardIterator it = std::min_element( first, last,
-                                         boost::bind(rotation_predicate, boost::cref(start_p), _1, _2) );
+                                         [&start_p, &rotation_predicate](const Point& p1, const Point& p2)
+                                         {return rotation_predicate(start_p, p1, p2);} );
   while (! equal_points(*it, stop_p) )
   {
       CGAL_ch_exactness_assertion( \
@@ -80,7 +80,8 @@ ch_jarvis_march(ForwardIterator first, ForwardIterator last,
           constructed_points <= count_points + 1 );
 
       it = std::min_element( first, last,
-                             boost::bind(rotation_predicate, *it, _1, _2) );
+                             [it, &rotation_predicate](const Point& p1, const Point& p2)
+                             {return rotation_predicate(*it, p1, p2);} );
   }
   CGAL_ch_postcondition( \
       is_ccw_strongly_convex_2( res.output_so_far_begin(), \

From 4a27ff5bf6dbaca73e3b0249e84413fc7b2a26ab Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 11:53:50 +0100
Subject: [PATCH 123/317] remove bind in Surface_mesh

---
 .../examples/Surface_mesh/sm_do_intersect.cpp     | 15 ++++-----------
 .../test/Surface_mesh/surface_mesh_test.cpp       | 11 +++--------
 2 files changed, 7 insertions(+), 19 deletions(-)

diff --git a/Surface_mesh/examples/Surface_mesh/sm_do_intersect.cpp b/Surface_mesh/examples/Surface_mesh/sm_do_intersect.cpp
index 69e3b2550ab..02a18d5bf45 100644
--- a/Surface_mesh/examples/Surface_mesh/sm_do_intersect.cpp
+++ b/Surface_mesh/examples/Surface_mesh/sm_do_intersect.cpp
@@ -2,9 +2,6 @@
 #include <vector>
 #include <fstream>
 
-#include <boost/bind.hpp>
-#include <boost/functional/value_factory.hpp>
-#include <boost/range/algorithm/transform.hpp>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
 #include <CGAL/Surface_mesh.h>
 #include <CGAL/box_intersection_d.h>
@@ -87,16 +84,12 @@ unsigned int intersect(const Mesh& P, const Mesh& Q) {
   Q_box_ptr.reserve(Q.number_of_faces());
 
   // build boxes and pointers to boxes
-  boost::transform(P.faces(),
-                 std::back_inserter(P_boxes),
-                 boost::bind(boost::value_factory<Box>(), _1, boost::cref(P)));
-
-
+  for(auto f : P.faces())
+    P_boxes.push_back( Box(f, P) );
   std::transform(P_boxes.begin(), P_boxes.end(), std::back_inserter(P_box_ptr),
                  &address_of_box);
-  boost::transform(Q.faces(),
-                 std::back_inserter(Q_boxes),
-                 boost::bind(boost::value_factory<Box>(), _1, boost::cref(Q)));
+  for(auto f : Q.faces())
+    Q_boxes.push_back( Box(f, Q) );
   std::transform(Q_boxes.begin(), Q_boxes.end(), std::back_inserter(Q_box_ptr),
                  &address_of_box);
 
diff --git a/Surface_mesh/test/Surface_mesh/surface_mesh_test.cpp b/Surface_mesh/test/Surface_mesh/surface_mesh_test.cpp
index ee0e71417de..949d2538bff 100644
--- a/Surface_mesh/test/Surface_mesh/surface_mesh_test.cpp
+++ b/Surface_mesh/test/Surface_mesh/surface_mesh_test.cpp
@@ -4,9 +4,6 @@
 #include <CGAL/Surface_mesh.h>
 #include <CGAL/Simple_cartesian.h>
 
-#include <boost/bind.hpp>
-#include <boost/range/algorithm.hpp>
-
 #include <CGAL/use.h>
 
 void constructors_test()
@@ -118,15 +115,13 @@ void memory_reuse_test()
   // remove all faces
   std::size_t old_face_size = f.m.number_of_faces();
   std::size_t old_removed_face_size = f.m.number_of_removed_faces();
-  boost::range::for_each(f.m.faces(), boost::bind(&Sm::remove_face, boost::ref(f.m), _1));
+  for(auto face : f.m.faces()) f.m.remove_face(face);
   assert(f.m.number_of_faces()== 0);
   assert(f.m.number_of_removed_faces()== old_face_size + old_removed_face_size);
   // remove all edges
   std::size_t old_edge_size = f.m.number_of_edges();
   std::size_t old_removed_edge_size = f.m.number_of_removed_edges();
-  boost::range::for_each(f.m.edges(),
-                         boost::bind(static_cast<void (Sm::*)(Sm::Edge_index)>(&Sm::remove_edge),
-                                     boost::ref(f.m), _1));
+  for(auto e : f.m.edges()) f.m.remove_edge(e);
   assert(f.m.number_of_faces() == 0);
   assert(f.m.number_of_removed_edges()== old_edge_size + old_removed_edge_size);
 
@@ -151,7 +146,7 @@ void memory_reuse_test()
   std::size_t old_size = f.m.number_of_vertices();
   std::size_t old_removed_size = f.m.number_of_removed_vertices();
 
-  boost::range::for_each(f.m.vertices(), boost::bind(&Sm::remove_vertex, boost::ref(f.m), _1));
+  for(auto v : f.m.vertices()) f.m.remove_vertex(v);
   assert(f.m.number_of_vertices() == 0);
   assert(f.m.number_of_removed_vertices()== old_size + old_removed_size);
 

From 61d0fb53b4786360c1147a33b76e003170fae849 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 12:06:20 +0100
Subject: [PATCH 124/317] replace bind in Convex_hull_3

---
 Convex_hull_3/include/CGAL/convex_hull_3.h | 22 ++++++++++++++--------
 1 file changed, 14 insertions(+), 8 deletions(-)

diff --git a/Convex_hull_3/include/CGAL/convex_hull_3.h b/Convex_hull_3/include/CGAL/convex_hull_3.h
index 995c978abd8..cf35a6d78af 100644
--- a/Convex_hull_3/include/CGAL/convex_hull_3.h
+++ b/Convex_hull_3/include/CGAL/convex_hull_3.h
@@ -43,7 +43,6 @@
 #include <CGAL/boost/graph/named_params_helper.h>
 #include <CGAL/is_iterator.h>
 
-#include <boost/bind.hpp>
 #include <boost/next_prior.hpp>
 #include <boost/type_traits/is_floating_point.hpp>
 #include <boost/type_traits/is_same.hpp>
@@ -576,7 +575,8 @@ farthest_outside_point(Face_handle f, std::list<Point>& outside_set,
    Outside_set_iterator farthest_it =
           std::max_element(outside_set.begin(),
                            outside_set.end(),
-                           boost::bind(less_dist_to_plane, plane, _1, _2));
+                           [&less_dist_to_plane,&plane](const Point& p1, const Point& p2)
+                           { return less_dist_to_plane(plane, p1, p2); });
    return farthest_it;
 }
 
@@ -795,8 +795,10 @@ ch_quickhull_face_graph(std::list<typename Traits::Point_3>& points,
   // plane.
   std::pair<P3_iterator, P3_iterator> min_max;
   min_max = CGAL::min_max_element(points.begin(), points.end(),
-                                  boost::bind(compare_dist, plane, _1, _2),
-                                  boost::bind(compare_dist, plane, _1, _2));
+                                  [&compare_dist, &plane](const Point_3& p1, const Point_3& p2)
+                                  { return compare_dist(plane, p1, p2); },
+                                  [&compare_dist, &plane](const Point_3& p1, const Point_3& p2)
+                                  { return compare_dist(plane, p1, p2); });
   P3_iterator max_it;
   if (coplanar(*point1_it, *point2_it, *point3_it, *min_max.second))
   {
@@ -929,8 +931,10 @@ convex_hull_3(InputIterator first, InputIterator beyond,
      Less_dist less_dist = traits.less_distance_to_point_3_object();
      P3_iterator_pair endpoints =
       min_max_element(points.begin(), points.end(),
-                      boost::bind(less_dist, *points.begin(), _1, _2),
-                      boost::bind(less_dist, *points.begin(), _1, _2));
+                      [&points, &less_dist](const Point_3& p1, const Point_3& p2)
+                      { return less_dist(*points.begin(), p1, p2); },
+                      [&points, &less_dist](const Point_3& p1, const Point_3& p2)
+                      { return less_dist(*points.begin(), p1, p2); });
 
      typename Traits::Construct_segment_3 construct_segment =
             traits.construct_segment_3_object();
@@ -1032,8 +1036,10 @@ void convex_hull_3(InputIterator first, InputIterator beyond,
     Less_dist less_dist = traits.less_distance_to_point_3_object();
     P3_iterator_pair endpoints =
     min_max_element(points.begin(), points.end(),
-                    boost::bind(less_dist, *points.begin(), _1, _2),
-                    boost::bind(less_dist, *points.begin(), _1, _2));
+                    [&points, &less_dist](const Point_3& p1, const Point_3& p2)
+                    { return less_dist(*points.begin(), p1, p2); },
+                    [&points, &less_dist](const Point_3& p1, const Point_3& p2)
+                    { return less_dist(*points.begin(), p1, p2); });
     Convex_hull_3::internal::add_isolated_points(*endpoints.first, polyhedron);
     Convex_hull_3::internal::add_isolated_points(*endpoints.second, polyhedron);
     return;

From 0d16ef14c557a4d5ce949e6babe3c1ee6addc618 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:35:11 +0100
Subject: [PATCH 125/317] replace bind in Arrangement_on_surface_2

---
 .../gfx/Curve_renderer_internals.h                    | 11 ++---------
 .../gfx/Curve_renderer_traits.h                       |  4 ++--
 2 files changed, 4 insertions(+), 11 deletions(-)

diff --git a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
index 984ea6170a6..37c15966a21 100644
--- a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
+++ b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
@@ -295,13 +295,6 @@ public:
         return y;
     }
 
-    //! \brief the same as \c evaluate but arguments are passed by value
-    //! (needed to substitute variables in bivariate polynomial)
-    inline static NT binded_eval(Poly_1 poly, NT x)
-    {
-        return evaluate(poly, x);
-    }
-
     //! \brief evalutates a polynomial at certain x-coordinate
     static NT evaluate(const Poly_1& poly, const NT& x,
         bool *error_bounds_ = nullptr)
@@ -914,9 +907,9 @@ void get_precached_poly(int var, const NT& key, int /* level */, Poly_1& poly)
 
     if(not_cached||not_found) {
         poly = Poly_1(::boost::make_transform_iterator(coeffs->begin(),
-                            boost::bind2nd(std::ptr_fun(binded_eval), key1)),
+                          [&key1](Poly_1 poly){ return evaluate(poly, key1); }),
                       ::boost::make_transform_iterator(coeffs->end(),
-                            boost::bind2nd(std::ptr_fun(binded_eval), key1)));
+                            [&key1](Poly_1 poly){ return evaluate(poly, key1); }));
         if(not_cached)
             return;
     // all available space consumed: drop the least recently used entry
diff --git a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
index 752389a0f35..01ecfd0bd6e 100644
--- a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
+++ b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
@@ -110,8 +110,8 @@ struct Transform {
 
         Transform<typename OutputPoly_2::NT, typename InputPoly_2::NT, Op> tr;
         return OutputPoly_2(
-            ::boost::make_transform_iterator(p.begin(), boost::bind2nd(tr, op)),
-            ::boost::make_transform_iterator(p.end(), boost::bind2nd(tr, op)));
+            ::boost::make_transform_iterator(p.begin(), [&op, &tr](const auto& v){ return tr(v, op); }),
+            ::boost::make_transform_iterator(p.end(), [&op, &tr](const auto& v){ return tr(v, op); }));
     }
 
     OutputPoly_2 operator()(

From cef46c9ee6fbd090d1e81206f48694767c4bb4ab Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:35:57 +0100
Subject: [PATCH 126/317] replace bind in STL_extension

---
 .../examples/STL_Extension/min_element_if_example.cpp       | 3 +--
 STL_Extension/test/STL_Extension/test_composition.cpp       | 6 ++----
 2 files changed, 3 insertions(+), 6 deletions(-)

diff --git a/STL_Extension/examples/STL_Extension/min_element_if_example.cpp b/STL_Extension/examples/STL_Extension/min_element_if_example.cpp
index a2a98015533..32e43c1abfb 100644
--- a/STL_Extension/examples/STL_Extension/min_element_if_example.cpp
+++ b/STL_Extension/examples/STL_Extension/min_element_if_example.cpp
@@ -14,8 +14,7 @@ int main()
   std::cout << "min_odd = "
             << *CGAL::min_element_if(v.begin(),
                                      v.end(),
-                                     CGAL::compose1_1(boost::bind2nd(std::greater< int >(), 0),
-                                                      boost::bind2nd(std::modulus< int >(), 2)))
+                                     [](int i){ return (i%2) > 0; })
             << std::endl;
   return 0;
 }
diff --git a/STL_Extension/test/STL_Extension/test_composition.cpp b/STL_Extension/test/STL_Extension/test_composition.cpp
index c7deeaa56f0..a4d4c4d5d66 100644
--- a/STL_Extension/test/STL_Extension/test_composition.cpp
+++ b/STL_Extension/test/STL_Extension/test_composition.cpp
@@ -12,8 +12,6 @@ using CGAL::compose1_2;
 using CGAL::compose2_1;
 using CGAL::compose2_2;
 using CGAL::compare_to_less;
-using boost::binder1st;
-using boost::bind1st;
 using std::accumulate;
 using std::plus;
 using std::multiplies;
@@ -31,8 +29,8 @@ int main()
 {
   plus< int >        pl;
   multiplies< int >  mu;
-  binder1st< plus< int > >       op1 = bind1st(pl, 1);
-  binder1st< multiplies< int > > op2 = bind1st(mu, 2);
+  auto op1 = [](int i){ return i+1; };
+  auto op2 = [](int i){ return i * 2; };
 
   // compose1_2:
   int a[] = {3,5,7,2,4};

From 2eb990869998412575c294b96647a44684042554 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:36:47 +0100
Subject: [PATCH 127/317] replace bind in Mesh_3 packages

---
 Mesh_3/include/CGAL/Mesh_3/Protect_edges_sizing_field.h        | 3 +--
 .../CGAL/Periodic_3_mesh_3/Protect_edges_sizing_field.h        | 3 +--
 2 files changed, 2 insertions(+), 4 deletions(-)

diff --git a/Mesh_3/include/CGAL/Mesh_3/Protect_edges_sizing_field.h b/Mesh_3/include/CGAL/Mesh_3/Protect_edges_sizing_field.h
index 954909113b6..d9ddc61e0bf 100644
--- a/Mesh_3/include/CGAL/Mesh_3/Protect_edges_sizing_field.h
+++ b/Mesh_3/include/CGAL/Mesh_3/Protect_edges_sizing_field.h
@@ -50,7 +50,6 @@
 
 #include <CGAL/boost/iterator/transform_iterator.hpp>
 
-#include <boost/bind.hpp>
 #include <boost/function_output_iterator.hpp>
 #ifndef CGAL_NO_ASSERTIONS
 #  include <boost/math/special_functions/next.hpp> // for float_prior
@@ -1879,7 +1878,7 @@ next_vertex_along_curve(const Vertex_handle& start,
   adjacent_vertices.erase
     (std::remove_if(adjacent_vertices.begin(),
                     adjacent_vertices.end(),
-                    boost::bind(&Adjacent_vertices::value_type::second, _1) != curve_index),
+                    [curve_index](const auto& p){ return p.second != curve_index; }),
      adjacent_vertices.end());
   CGAL_assertion(adjacent_vertices.size() == 2);
 
diff --git a/Periodic_3_mesh_3/include/CGAL/Periodic_3_mesh_3/Protect_edges_sizing_field.h b/Periodic_3_mesh_3/include/CGAL/Periodic_3_mesh_3/Protect_edges_sizing_field.h
index e27c762ed34..7a6078a3d1a 100644
--- a/Periodic_3_mesh_3/include/CGAL/Periodic_3_mesh_3/Protect_edges_sizing_field.h
+++ b/Periodic_3_mesh_3/include/CGAL/Periodic_3_mesh_3/Protect_edges_sizing_field.h
@@ -49,7 +49,6 @@
 
 #include <CGAL/boost/iterator/transform_iterator.hpp>
 
-#include <boost/bind.hpp>
 #include <boost/function_output_iterator.hpp>
 #ifndef CGAL_NO_ASSERTIONS
 #  include <boost/math/special_functions/next.hpp> // for float_prior
@@ -2892,7 +2891,7 @@ next_vertex_along_curve(const Vertex_handle& start,
   adjacent_vertices.erase
     (std::remove_if(adjacent_vertices.begin(),
                     adjacent_vertices.end(),
-                    boost::bind(&Adjacent_vertices::value_type::second, _1) != curve_index),
+                    [curve_index](const auto& p){ return p.second != curve_index;}),
      adjacent_vertices.end());
 
 //  typename Adjacent_vertices::const_iterator iv = adjacent_vertices.begin();

From 24a5fdbaed1689ed0ab69881a4a17a6c7be3443d Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:37:28 +0100
Subject: [PATCH 128/317] remove useless bind

---
 .../include/CGAL/Surface_mesher/Intersection_data_structure_3.h | 2 --
 1 file changed, 2 deletions(-)

diff --git a/Surface_mesher/include/CGAL/Surface_mesher/Intersection_data_structure_3.h b/Surface_mesher/include/CGAL/Surface_mesher/Intersection_data_structure_3.h
index 52f158a2918..453d4db1212 100644
--- a/Surface_mesher/include/CGAL/Surface_mesher/Intersection_data_structure_3.h
+++ b/Surface_mesher/include/CGAL/Surface_mesher/Intersection_data_structure_3.h
@@ -20,7 +20,6 @@
 #include <CGAL/Bbox_3.h>
 
 #include <boost/format.hpp>
-#include <boost/bind.hpp>
 #include <boost/ref.hpp>
 #include <CGAL/boost/iterator/transform_iterator.hpp>
 
@@ -144,7 +143,6 @@ public:
 
   void create_data_structure()
   {
-    using boost::bind;
     using boost::make_transform_iterator;
 
     max_width = CGAL_NTS max BOOST_PREVENT_MACRO_SUBSTITUTION

From 2b61a993132c4f9615d2378021842139cb46b345 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:38:16 +0100
Subject: [PATCH 129/317] replace bind in Polytope_distance_d

---
 Polytope_distance_d/include/CGAL/Polytope_distance_d.h      | 5 ++---
 Polytope_distance_d/include/CGAL/all_furthest_neighbors_2.h | 3 +--
 2 files changed, 3 insertions(+), 5 deletions(-)

diff --git a/Polytope_distance_d/include/CGAL/Polytope_distance_d.h b/Polytope_distance_d/include/CGAL/Polytope_distance_d.h
index 3f6a4b74f93..b52d1ca7219 100644
--- a/Polytope_distance_d/include/CGAL/Polytope_distance_d.h
+++ b/Polytope_distance_d/include/CGAL/Polytope_distance_d.h
@@ -665,9 +665,8 @@ private:
   check_dimension( InputIterator first, InputIterator last)
   { return ( std::find_if
              ( first, last,
-               CGAL::compose1_1
-               ( boost::bind2nd(std::not_equal_to<int>(), d),
-                 tco.access_dimension_d_object()))
+               [this](const auto& o)
+               { return this->tco.access_dimension_d_object()(o) != this->d; })
              == last); }
 
   // compute (squared) distance
diff --git a/Polytope_distance_d/include/CGAL/all_furthest_neighbors_2.h b/Polytope_distance_d/include/CGAL/all_furthest_neighbors_2.h
index ad05b31358a..d2927f43d6b 100644
--- a/Polytope_distance_d/include/CGAL/all_furthest_neighbors_2.h
+++ b/Polytope_distance_d/include/CGAL/all_furthest_neighbors_2.h
@@ -22,7 +22,6 @@
 #include <CGAL/monotone_matrix_search.h>
 #include <CGAL/Polygon_2_algorithms.h>
 #include <algorithm>
-#include <boost/bind.hpp>
 
 namespace CGAL {
 template < class Operation, class RandomAccessIC >
@@ -116,7 +115,7 @@ all_furthest_neighbors_2( RandomAccessIC points_begin,
   return transform(v.begin(),
                    v.end(),
                    o,
-                   boost::bind(modulus<int>(), _1, number_of_points));
+                   [number_of_points](int i){ return i % number_of_points;} );
 } // all_furthest_neighbors_2( ... )
 
 

From 7d6f0491eed003cd2b6fa91900f4689c163ca53e Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:39:57 +0100
Subject: [PATCH 130/317] replace bind in matrix search

---
 Matrix_search/examples/Matrix_search/sorted_matrix_search.cpp | 2 +-
 .../test/Matrix_search/sorted_matrix_search_test.cpp          | 4 +---
 2 files changed, 2 insertions(+), 4 deletions(-)

diff --git a/Matrix_search/examples/Matrix_search/sorted_matrix_search.cpp b/Matrix_search/examples/Matrix_search/sorted_matrix_search.cpp
index 6fce8f6dd10..a9c261a494c 100644
--- a/Matrix_search/examples/Matrix_search/sorted_matrix_search.cpp
+++ b/Matrix_search/examples/Matrix_search/sorted_matrix_search.cpp
@@ -38,7 +38,7 @@ int main()
   CGAL::sorted_matrix_search(
     &M, &M + 1,
     CGAL::sorted_matrix_search_traits_adaptor(
-      boost::bind2nd(std::greater_equal<Value>(), bound), M));
+      [&bound](const auto& m){ return std::greater_equal<Value>()(m, bound); }, M));
   std::cout << "Upper bound for " << bound << " is "
             << upper_bound << "." << std::endl;
 
diff --git a/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp b/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp
index 999babe16fd..22b2e16b82d 100644
--- a/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp
+++ b/Matrix_search/test/Matrix_search/sorted_matrix_search_test.cpp
@@ -16,8 +16,6 @@
 #include <vector>
 #include <cstdlib>
 
-#include <boost/bind.hpp>
-
 template < class Matrix_iterator, class Value >
 Value
 compute_upper_bound( Matrix_iterator f,
@@ -183,7 +181,7 @@ main( int argc, char* argv[])
       matrices.begin(),
       matrices.end(),
       sorted_matrix_search_traits_adaptor(
-        boost::bind( greater_equal< Value >(), _1, bound),
+        [&bound](const auto& m){ return greater_equal< Value >()(m, bound); },
         *(matrices.begin()))));
 
   #ifdef OUTPUT

From d8d5f1de5bdb850d83b28a428c01a9a375ff80ba Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:41:11 +0100
Subject: [PATCH 131/317] replace bind in Inscribed_areas

---
 .../include/CGAL/Extremal_polygon_traits_2.h     | 16 +++++++---------
 1 file changed, 7 insertions(+), 9 deletions(-)

diff --git a/Inscribed_areas/include/CGAL/Extremal_polygon_traits_2.h b/Inscribed_areas/include/CGAL/Extremal_polygon_traits_2.h
index 64f3ac2dd1d..a85e9a76f47 100644
--- a/Inscribed_areas/include/CGAL/Extremal_polygon_traits_2.h
+++ b/Inscribed_areas/include/CGAL/Extremal_polygon_traits_2.h
@@ -19,7 +19,6 @@
 #include <CGAL/Optimisation/assertions.h>
 #include <CGAL/squared_distance_2.h>
 #include <CGAL/Polygon_2.h>
-#include <boost/bind.hpp>
 #include <boost/function.hpp>
 
 namespace CGAL {
@@ -47,7 +46,7 @@ struct Extremal_polygon_area_traits_2 {
   };
 
   typedef Kgon_triangle_area                         Baseop;
-  typedef boost::function2<FT,Point_2,Point_2>       Operation;
+  typedef std::function<FT(const Point_2& , const Point_2&)>       Operation;
 
   Extremal_polygon_area_traits_2() {}
   Extremal_polygon_area_traits_2(const K& k_) : k(k_) {}
@@ -60,7 +59,7 @@ struct Extremal_polygon_area_traits_2 {
 
   Operation
   operation( const Point_2& p) const
-  { return boost::bind(Baseop(k), _1, _2, p); }
+  { return [&p, this](const Point_2& p1, const Point_2& p2){ return Baseop(this->k)(p1, p2, p);}; }
 
   template < class RandomAccessIC, class OutputIterator >
   OutputIterator
@@ -184,7 +183,7 @@ struct Extremal_polygon_perimeter_traits_2 {
   };
 
   typedef Kgon_triangle_perimeter                    Baseop;
-  typedef boost::function2<FT,Point_2,Point_2>       Operation;
+  typedef std::function<FT(const Point_2&, const Point_2&)>       Operation;
 
   Extremal_polygon_perimeter_traits_2() {}
   Extremal_polygon_perimeter_traits_2(const K& k_) : k(k_) {}
@@ -197,7 +196,7 @@ struct Extremal_polygon_perimeter_traits_2 {
 
   Operation
   operation( const Point_2& p) const
-  { return boost::bind(Baseop(k), _1, _2, p); }
+  { return [this,&p](const Point_2& p1, const Point_2& p2){ return Baseop(this->k)(p1,p2,p); }; }
 
   template < class RandomAccessIC, class OutputIterator >
   OutputIterator
@@ -234,10 +233,9 @@ struct Extremal_polygon_perimeter_traits_2 {
       max_element(
         points_begin + 1,
         points_end,
-        boost::bind(
-          less< FT >(),
-          boost::bind(operation(points_begin[0]), _1, points_begin[0]),
-          boost::bind(operation(points_begin[0]), _2, points_begin[0]))));
+        [points_begin, this](const Point_2& p1, const Point_2& p2)
+        { return less< FT >()( this->operation(points_begin[0])(p1, points_begin[0]),
+                               this->operation(points_begin[0])(p2, points_begin[0])); } ));
 
     // give result:
     max_perimeter = operation(*points_begin)(*maxi, *points_begin);

From a925a64fcf6006c1805ca20ebf2f2c779c876944 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:42:53 +0100
Subject: [PATCH 132/317] start removing bind in QP_solver

---
 QP_solver/include/CGAL/QP_solver/QP_basis_inverse.h      | 2 +-
 QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h | 6 ++----
 QP_solver/test/QP_solver/test_bind.cpp                   | 6 +++---
 3 files changed, 6 insertions(+), 8 deletions(-)

diff --git a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse.h b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse.h
index 91aaa9972f8..b9f3906da7e 100644
--- a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse.h
+++ b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse.h
@@ -410,7 +410,7 @@ class QP_basis_inverse {
         m_it1 = M.begin()+l;
         for ( row = 0; row < s; ++row, ++m_it1) {
             std::transform( m_it1->begin(), m_it1->begin()+s, m_it1->begin(),
-                            boost::bind2nd( std::multiplies<ET>(), d));
+                            [this](const ET& v){return v * this->d;});
         }
 
         // new denominator: |det(A_B)|^2
diff --git a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
index 10873b0db55..58887c6f9c1 100644
--- a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
+++ b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
@@ -178,13 +178,11 @@ z_replace_original_by_original(ForwardIterator y_l_it,
 
     // tmp_l -part
     std::transform(y_l_it, (y_l_it+s), x_l.begin(), tmp_l.begin(),
-        compose2_2(std::plus<ET>(), Identity<ET>(),
-        boost::bind1st(std::multiplies<ET>(), s_delta)));
+        [&s_delta](const ET& v1, const ET& v2){ return Identity<ET>()(v1) + v2 * s_delta; });
 
     // tmp_x -part
     std::transform(y_x_it, (y_x_it+b), x_x.begin(), tmp_x.begin(),
-        compose2_2(std::plus<ET>(), Identity<ET>(),
-        boost::bind1st(std::multiplies<ET>(), s_delta)));
+        [&s_delta](const ET& v1, const ET& v2){ return Identity<ET>()(v1) + v2 * s_delta; });
     tmp_x[k_i] -= d;
 
     // prepare \hat{k}_{2} -scalar
diff --git a/QP_solver/test/QP_solver/test_bind.cpp b/QP_solver/test/QP_solver/test_bind.cpp
index 3733f359200..b1c592c9be2 100644
--- a/QP_solver/test/QP_solver/test_bind.cpp
+++ b/QP_solver/test/QP_solver/test_bind.cpp
@@ -2,7 +2,7 @@
 
 #include <CGAL/Quotient.h>
 #include <CGAL/function_objects.h>
-#include <boost/bind.hpp>
+#include <functional>
 
 // functor int x int -> Quotient<int>, (a,b) -> a/b
 // ------------------------------------------------
@@ -26,8 +26,8 @@ int main()
   // ---------------------------------------
   int three = 3;
   int two = 2;
-  std::cout << boost::bind
-    (Quotient_inverter(), boost::bind
+  std::cout << std::bind
+    (Quotient_inverter(), std::bind
      (Quotient_creator(), _1, _2))
   // ...and apply it to (3, 2)
   // -------------------------

From c9a5cf7072d23f58d46c6e8bbc6ab3e0d9473ce1 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 5 Jan 2021 18:52:29 +0100
Subject: [PATCH 133/317] start removing bind in Bounding_volumes

---
 .../include/CGAL/min_quadrilateral_2.h        |  34 ++--
 .../include/CGAL/rectangular_3_center_2.h     | 147 ++++++++----------
 .../include/CGAL/rectangular_p_center_2.h     |   5 +-
 3 files changed, 87 insertions(+), 99 deletions(-)

diff --git a/Bounding_volumes/include/CGAL/min_quadrilateral_2.h b/Bounding_volumes/include/CGAL/min_quadrilateral_2.h
index 867593b2d1d..5072dce39ed 100644
--- a/Bounding_volumes/include/CGAL/min_quadrilateral_2.h
+++ b/Bounding_volumes/include/CGAL/min_quadrilateral_2.h
@@ -20,7 +20,6 @@
 #include <CGAL/basic.h>
 #include <CGAL/Optimisation/assertions.h>
 #include <iterator>
-#include <boost/bind.hpp>
 #include <boost/function.hpp>
 
 #ifdef CGAL_OPTIMISATION_EXPENSIVE_PRECONDITION_TAG
@@ -70,13 +69,16 @@ convex_bounding_box_2(
   typedef typename Traits::Point_2                Point_2;
   typedef typename Traits::Less_xy_2              Less_xy_2;
   typedef typename Traits::Less_yx_2              Less_yx_2;
-  typedef boost::function2<bool,Point_2,Point_2>  Greater_xy_2;
-  typedef boost::function2<bool,Point_2,Point_2>  Greater_yx_2;
+  typedef std::function<bool(const Point_2&,
+                             const Point_2&)>     Greater_xy_2;
+  typedef Greater_xy_2                            Greater_yx_2;
 
   Less_xy_2    less_xy_2    = t.less_xy_2_object();
   Less_yx_2    less_yx_2    = t.less_yx_2_object();
-  Greater_xy_2 greater_xy_2 = boost::bind(less_xy_2, _2, _1);
-  Greater_yx_2 greater_yx_2 = boost::bind(less_yx_2, _2, _1);
+  Greater_xy_2 greater_xy_2 = [&less_xy_2](const Point_2& p1, const Point_2& p2)
+                              { return less_xy_2(p2, p1); };
+  Greater_yx_2 greater_yx_2 = [&less_yx_2](const Point_2& p1, const Point_2& p2)
+                              { return less_yx_2(p2, p1); };
 
   if (less_xy_2(*minx, *f) ||
       (less_yx_2(*minx, *f) && !less_xy_2(*f, *minx)))
@@ -268,21 +270,21 @@ namespace Optimisation {
     // ---------------------------------------------------------------
     // Right_of_implicit_line_2
     // ---------------------------------------------------------------
-    typedef boost::function3<bool,Point_2,Point_2,Direction_2>
+    typedef std::function<bool(const Point_2&, const Point_2& , const Direction_2&)>
       Right_of_implicit_line_2;
 
     Right_of_implicit_line_2 right_of_implicit_line_2_object() const {
-      return boost::bind(has_on_negative_side_2_object(),
-                         boost::bind(construct_line_2_object(), _2, _3),
-                         _1);
+      return [this](const Point_2& p1, const Point_2& p2, const Direction_2& d)
+             {  return this->has_on_negative_side_2_object()(this->construct_line_2_object()(p2, d), p1); };
     }
 
-    typedef boost::function2<Direction_2,Point_2,Point_2>
+    typedef std::function<Direction_2(const Point_2&, const Point_2&)>
       Construct_direction_2;
 
     Construct_direction_2 construct_direction_2_object() const {
-      return boost::bind(Base::construct_direction_2_object(),
-                         boost::bind(construct_vector_2_object(), _1, _2));
+      return [this](const Point_2& p1, const Point_2& p2)
+             { return this->Base::construct_direction_2_object()(
+                        this->construct_vector_2_object()(p1, p2)); };
     }
 
     template < class Kernel >
@@ -324,13 +326,11 @@ namespace Optimisation {
     rotate_direction_by_multiple_of_pi_2_object() const
     { return Rotate_direction_by_multiple_of_pi_2(*this); }
 
-    typedef boost::function2<bool,Direction_2,Direction_2>
+    typedef std::function<bool(const Direction_2&, const Direction_2&)>
       Less_angle_with_x_axis_2;
     Less_angle_with_x_axis_2 less_angle_with_x_axis_2_object() const {
-      return boost::bind(std::equal_to<Comparison_result>(),
-                         boost::bind(compare_angle_with_x_axis_2_object(),
-                                     _1, _2),
-                         SMALLER);
+      return [this](const Direction_2& d1, const Direction_2& d2)
+             { return this->compare_angle_with_x_axis_2_object()(d1, d2) == SMALLER; };
     }
 
   };
diff --git a/Bounding_volumes/include/CGAL/rectangular_3_center_2.h b/Bounding_volumes/include/CGAL/rectangular_3_center_2.h
index 531fe486fd4..c119e8118de 100644
--- a/Bounding_volumes/include/CGAL/rectangular_3_center_2.h
+++ b/Bounding_volumes/include/CGAL/rectangular_3_center_2.h
@@ -22,8 +22,6 @@
 #include <CGAL/Rectangular_p_center_traits_2.h>
 #include <algorithm>
 #include <vector>
-#include <boost/bind.hpp>
-#include <boost/function.hpp>
 
 namespace CGAL {
 
@@ -38,8 +36,6 @@ rectangular_2_center_2(
   Traits& t)
 {
   using std::pair;
-  using std::greater;
-  using std::less;
 
   typedef typename Traits::Iso_rectangle_2        Rectangle;
   typedef typename Traits::Point_2                Point;
@@ -53,7 +49,7 @@ rectangular_2_center_2(
     P_below_right;
   typedef typename Traits::Construct_point_2_below_left_implicit_point_2
     P_below_left;
-  typedef boost::function1<FT, Point>              Gamma;
+  typedef std::function<FT(const Point&)>              Gamma;
 
   // fetch function objects from traits class
   CVertex       v      = t.construct_vertex_2_object();
@@ -73,14 +69,14 @@ rectangular_2_center_2(
   // two cases: top-left & bottom-right or top-right & bottom-left
   Min< FT > minft;
   Gamma gamma1 =
-    boost::bind(minft, boost::bind(dist, v(bb, 0), _1), boost::bind(dist, v(bb, 2), _1));
+    [&minft, &bb, &dist, &v](const Point& p){ return minft(dist( v(bb, 0), p), dist(v(bb, 2),p));};
   Gamma gamma2 =
-    boost::bind(minft, boost::bind(dist, v(bb, 1), _1), boost::bind(dist, v(bb, 3), _1));
+    [&minft, &bb, &dist, &v](const Point& p){ return minft(dist( v(bb, 1), p), dist(v(bb, 3),p));};
 
   pair< ForwardIterator, ForwardIterator > cand =
     min_max_element(f, l,
-                    boost::bind(greater<FT>(), boost::bind(gamma1, _1), boost::bind(gamma1, _2)),
-                    boost::bind(less<FT>(), boost::bind(gamma2, _1), boost::bind(gamma2, _2)));
+                    [&gamma1](const Point& p1, const Point& p2){ return std::greater<FT>()(gamma1(p1), gamma1(p2)); },
+                    [&gamma2](const Point& p1, const Point& p2){ return std::less<FT>()(gamma2(p1), gamma2(p2)); });
 
   // return the result
   if (gamma1(*cand.first) < gamma2(*cand.second)) {
@@ -106,9 +102,6 @@ rectangular_3_center_2_type1(
   typename Traits::FT& rad,
   Traits& t)
 {
-  using std::max;
-  using std::less;
-
   typedef typename Traits::FT                         FT;
   typedef typename Traits::Iso_rectangle_2            Rectangle;
   typedef typename Traits::Point_2                    Point;
@@ -124,7 +117,7 @@ rectangular_3_center_2_type1(
     P_below_right;
   typedef typename Traits::Construct_point_2_below_left_implicit_point_2
     P_below_left;
-  typedef boost::function1<FT, Point>                 Gamma;
+  typedef std::function<FT(const Point&)>                 Gamma;
 
   // fetch function objects from traits class
   Rect          rect   = t.construct_iso_rectangle_2_object();
@@ -158,14 +151,14 @@ rectangular_3_center_2_type1(
     RandomAccessIterator e = l;
     bool b_empty = true;
     Min< FT > minft;
-    Gamma gamma = boost::bind(minft,
-                       boost::bind(dist, v(r, i), _1),
-                       boost::bind(dist, v(r, 2 + i), _1));
+    Gamma gamma = [&minft, &dist, &v, &r, i](const Point& p)
+                  { return minft(dist(v(r, i), p), dist(v(r, 2 + i), p)); };
 
     while (e - s > 1) {
       // step (a)
       RandomAccessIterator m = s + (e - s - 1) / 2;
-      std::nth_element(s, m, e, boost::bind(less<FT>(), boost::bind(gamma, _1), boost::bind(gamma, _2)));
+      std::nth_element(s, m, e, [&gamma](const Point& p1, const Point& p2)
+                                {return gamma(p1) < gamma(p2);});
 
       // step (b)
       Rectangle b_prime = bounding_box_2(m + 1, e, t);
@@ -220,8 +213,9 @@ struct Rectangular_3_center_2_type2_operations_base {
   typedef typename R::Infinity_distance_2        Infinity_distance_2;
   typedef typename R::Less_x_2                   Less_x_2;
   typedef typename R::Less_y_2                   Less_y_2;
-  typedef boost::function2<bool,Point_2,Point_2> Greater_x_2;
-  typedef boost::function2<bool,Point_2,Point_2> Greater_y_2;
+  typedef std::function<bool(const Point_2& ,
+                             const Point_2&)>    Greater_x_2;
+  typedef Greater_x_2                            Greater_y_2;
   typedef Min< Point_2, Less_x_2 >               Min_x_2;
   typedef Max< Point_2, Less_x_2 >               Max_x_2;
   typedef Min< Point_2, Less_y_2 >               Min_y_2;
@@ -236,15 +230,15 @@ struct Rectangular_3_center_2_type2_operations_base {
     Construct_point_2_below_right_implicit_point_2;
   typedef typename R::Construct_point_2_below_left_implicit_point_2
     Construct_point_2_below_left_implicit_point_2;
-  typedef boost::function1<FT,Point_2>           Delta;
+  typedef std::function<FT(const Point_2&)>           Delta;
 
   Delta  delta() const { return delta_; }
   Less_x_2  less_x_2_object() const { return r_.less_x_2_object(); }
   Less_y_2  less_y_2_object() const { return r_.less_y_2_object(); }
   Greater_x_2  greater_x_2_object() const
-  { return boost::bind(less_x_2_object(),_2,_1); }
+  { return [this](const Point_2& p1, const Point_2& p2){ return this->less_x_2_object()(p2, p1); }; }
   Greater_y_2  greater_y_2_object() const
-  { return boost::bind(less_y_2_object(),_2,_1); }
+  { return [this](const Point_2& p1, const Point_2& p2){ return this->less_y_2_object()(p2, p1); }; }
   Infinity_distance_2  distance() const
   { return r_.infinity_distance_2_object(); }
   Construct_vertex_2  construct_vertex_2_object() const
@@ -277,7 +271,7 @@ struct Rectangular_3_center_2_type2_operations_base {
 public:
 
   Rectangular_3_center_2_type2_operations_base(R& r, const Point_2& p)
-    : r_(r), delta_(boost::bind(r.infinity_distance_2_object(), p, _1))
+    : r_(r), delta_([&r, &p](const Point_2& q){ return r.infinity_distance_2_object()(p, q); })
   {}
 
 };
@@ -846,10 +840,6 @@ rectangular_3_center_2_type2(
   Operations op)
 {
   BOOST_USING_STD_MAX();
-  using std::less;
-  using std::greater;
-  using std::greater_equal;
-  using std::not_equal_to;
   using std::logical_and;
   using std::max_element;
   using std::find_if;
@@ -894,7 +884,7 @@ rectangular_3_center_2_type2(
   {
     // First try whether the best radius so far can be reached at all
     RandomAccessIterator m =
-      partition(f, l, boost::bind(greater< FT >(), rad, boost::bind(op.delta(), _1)));
+      partition(f, l, [&rad, &op](const Point& p){ return rad > op.delta()(p); });
     IP pos = min_max_element(m, l, op.compare_x(), op.compare_y());
     // extreme points of the two other squares
     Point q_t =
@@ -905,11 +895,11 @@ rectangular_3_center_2_type2(
       op.place_y_square(op.place_y_square(Q_r_empty, Q_r, *pos.second, r),
                         r,
                         rad);
-    boost::function1<bool,FT> le_rad = boost::bind(greater_equal<FT>(), rad, _1);
+    std::function<bool(const FT&)> le_rad = [&rad](const FT& v){return rad >= v;};
     RandomAccessIterator b1 =
-      partition(m, l, boost::bind(le_rad, boost::bind(op.distance(), q_t, _1)));
+      partition(m, l, [&le_rad, &op, q_t](const Point& p){ return le_rad(op.distance()(q_t, p)); });
     RandomAccessIterator b2 =
-      partition(b1, l, boost::bind(le_rad, boost::bind(op.distance(), q_r, _1)));
+      partition(b1, l, [&le_rad, &op, q_r](const Point& p){ return le_rad(op.distance()(q_r, p)); });
 
     if (b2 != l)
       return o;
@@ -921,8 +911,7 @@ rectangular_3_center_2_type2(
   while (e - s > 6) {
     std::ptrdiff_t cutoff = (e - s) / 2;
     RandomAccessIterator m = s + cutoff - 1;
-    std::nth_element(s, m, e,
-                boost::bind(less<FT>(), boost::bind(op.delta(), _1), boost::bind(op.delta(), _2)));
+    std::nth_element(s, m, e, [&op](const Point& p1, const Point& p2){ return op.delta()(p1) < op.delta()(p2); });
 
     // step (b)
     IP pos = min_max_element(m + 1, e, op.compare_x(), op.compare_y());
@@ -935,13 +924,12 @@ rectangular_3_center_2_type2(
     Point q_r = op.place_y_square(q_r_afap, r, op.delta()(*m));
 
     // check for covering
-    boost::function1<bool,FT>
-      le_delta_m = boost::bind(greater_equal<FT>(), op.delta()(*m), _1);
+    std::function<bool(const FT&)>
+      le_delta_m = [&op, m](const FT& v){ return op.delta()(*m) >= v; };
     RandomAccessIterator b1 =
-      partition(m + 1, e,
-                boost::bind(le_delta_m, boost::bind(op.distance(), q_t, _1)));
+      partition(m + 1, e, [&le_delta_m, &op, & q_t](const Point& p){ return le_delta_m(op.distance()(q_t, p)); });
     RandomAccessIterator b2 =
-      partition(b1, e, boost::bind(le_delta_m, boost::bind(op.distance(), q_r, _1)));
+      partition(b1, e, [&le_delta_m, &op, & q_r](const Point& p){ return le_delta_m(op.distance()(q_r, p)); });
 
     if (b2 != e)
       s = m;
@@ -960,7 +948,7 @@ rectangular_3_center_2_type2(
     std::ptrdiff_t cutoff = (e - s) / fraction;
     RandomAccessIterator m = s + cutoff - 1;
     std::nth_element(s, m, e,
-                boost::bind(less<FT>(), boost::bind(op.delta(), _1), boost::bind(op.delta(), _2)));
+                [&op](const Point& p1, const Point& p2){ return op.delta()(p1) < op.delta()(p2); });
 
     // step (b)
     IP pos = min_max_element(m + 1, e, op.compare_x(), op.compare_y());
@@ -1007,16 +995,17 @@ rectangular_3_center_2_type2(
     // partition the range [m+1, e) into ranges
     // [m+1, b1), [b1, b2),   [b2, b3) and [b3, e)
     //     R      G cap q_t  G cap q_r      none
-    boost::function1<bool,FT>
-      le_delta_m = boost::bind(greater_equal<FT>(), op.delta()(*m), _1);
+    std::function<bool(const FT&)>
+      le_delta_m = [&op, m](const FT& v){ return op.delta()(*m) >= v; };
     RandomAccessIterator b2 =
-      partition(m + 1, e, boost::bind(le_delta_m, boost::bind(op.distance(), q_t, _1)));
+      partition(m + 1, e,
+                [&le_delta_m, &op, &q_t](const Point& p) { return le_delta_m(op.distance()(q_t, p)); });
     RandomAccessIterator b1 =
       partition(m + 1, b2,
-                boost::bind(le_delta_m, boost::bind(op.distance(), q_r, _1)));
+                [&le_delta_m, &op, &q_r](const Point& p) { return le_delta_m(op.distance()(q_r, p)); });
     RandomAccessIterator b3 =
-      partition(b2, e, boost::bind(le_delta_m, boost::bind(op.distance(), q_r, _1)));
-
+      partition(b2, e,
+                [&le_delta_m, &op, &q_r](const Point& p) { return le_delta_m(op.distance()(q_r, p)); });
 
     // step (c)
     if (b3 != e ||
@@ -1100,9 +1089,8 @@ rectangular_3_center_2_type2(
       // step 1
       RandomAccessIterator s_m = s_b + (s_e - s_b - 1) / 2;
       std::nth_element(s_b, s_m, s_e,
-                  boost::bind(less<FT>(),
-                       boost::bind(op.delta(), _1),
-                       boost::bind(op.delta(), _2)));
+                       [&op](const Point& p1, const Point& p2)
+                       { return op.delta()(p1) < op.delta()(p2); });
 
       // step 2 (as above)
       Point q_t_m = q_t_afap;
@@ -1138,14 +1126,18 @@ CGAL_3CENTER_REPEAT_CHECK:
     // partition the range [s_b+1, e) into ranges
     // [s_b+1, b1), [b1, b2),   [b2, b3) and [b3, e)
     //     R      G cap q_t  G cap q_r      none
-    boost::function1<bool,FT>
-      le_delta_sb = boost::bind(greater_equal<FT>(), op.delta()(*s_b), _1);
-    b2 = partition(s_b + 1, e, boost::bind(le_delta_sb,
-                                    boost::bind(op.distance(), q_t, _1)));
-    b1 = partition(s_b + 1, b2, boost::bind(le_delta_sb,
-                                     boost::bind(op.distance(), q_r, _1)));
+    std::function<bool(const FT&)>
+      le_delta_sb = [&op, s_b](const FT& v){ return op.delta()(*s_b) >= v;} ;
+
+    b2 = partition(s_b + 1, e,
+                   [&le_delta_sb, &op, &q_t](const Point& p)
+                   { return le_delta_sb(op.distance()(q_t, p)); });
+    b1 = partition(s_b + 1, b2,
+                   [&le_delta_sb, &op, &q_r](const Point& p)
+                   { return le_delta_sb(op.distance()(q_r, p)); });
     b3 = partition(b2, e,
-                   boost::bind(le_delta_sb, boost::bind(op.distance(), q_r, _1)));
+                   [&le_delta_sb, &op, &q_r](const Point& p)
+                   { return le_delta_sb(op.distance()(q_r, p)); });
 
     if (b3 != e ||
         (!Q_t_empty && op.compute_x_distance(q_t, Q_t) > op.delta()(*s_b)) ||
@@ -1183,7 +1175,7 @@ CGAL_3CENTER_REPEAT_CHECK:
         std::vector< Point > tmppts(f, l);
         RandomAccessIterator ii =
           partition(tmppts.begin(), tmppts.end(),
-                    boost::bind(le_delta_sb, boost::bind(op.delta(), _1)));
+                    [&le_delta_sb, &op](const FT& v){ return le_delta_sb(op.delta()(v)); });
         IP tmppos = min_max_element(ii, tmppts.end(),
                                     op.compare_x(), op.compare_y());
         )
@@ -1228,12 +1220,8 @@ CGAL_3CENTER_REPEAT_CHECK:
     // we have to take the next smaller radius
     RandomAccessIterator next =
       max_element_if(s, s_b,
-                     boost::bind(less<FT>(),
-                          boost::bind(op.delta(), _1),
-                          boost::bind(op.delta(), _2)),
-                     boost::bind(not_equal_to<FT>(),
-                          op.delta()(*s_b),
-                          boost::bind(op.delta(), _1)));
+                     [&op](const Point& p1, const Point& p2){ return op.delta()(p1) < op.delta()(p2); },
+                     [&op, s_b](const Point& p){ return op.delta()(*s_b) != op.delta()(p); });
     rho_max = op.delta()(*s_b);
     q_t_at_rho_max = q_t, q_r_at_rho_max = q_r;
     CGAL_optimisation_assertion(op.delta()(*next) < op.delta()(*s_b));
@@ -1243,14 +1231,14 @@ CGAL_3CENTER_REPEAT_CHECK:
     q_r = op.place_y_square(q_r_afap, r, op.delta()(*next));
 
     // again check for covering
-    boost::function1<bool,FT>
-      le_delta_next = boost::bind(greater_equal<FT>(), op.delta()(*next), _1);
+    std::function<bool(const FT&)>
+      le_delta_next = [&op, next](const FT& v){ return op.delta()(*next) >= v; };
     b2 = partition(s_b, e,
-                   boost::bind(le_delta_next, boost::bind(op.distance(), q_t, _1)));
+                   [&op, &le_delta_next, &q_t](const Point& p){ return le_delta_next( op.distance()(q_t,p) ); });
     b1 = partition(s_b, b2,
-                   boost::bind(le_delta_next, boost::bind(op.distance(), q_r, _1)));
+                   [&op, &le_delta_next, &q_r](const Point& p){ return le_delta_next( op.distance()(q_r,p) ); });
     b3 = partition(b2, e,
-                   boost::bind(le_delta_next, boost::bind(op.distance(), q_r, _1)));
+                   [&op, &le_delta_next, &q_r](const Point& p){ return le_delta_next( op.distance()(q_r,p) ); });
 
     if (b3 != e ||
         (!Q_t_empty && op.compute_x_distance(q_t, Q_t) > op.delta()(*next)) ||
@@ -1304,7 +1292,7 @@ CGAL_3CENTER_REPEAT_CHECK:
     Point q_t_afap = op.place_x_square(Q_t_empty, Q_t, r);
     Point q_r_afap = op.place_y_square(Q_r_empty, Q_r, r);
     if (s != e) {
-      sort(s, e, boost::bind(less<FT>(), boost::bind(op.delta(), _1), boost::bind(op.delta(), _2)));
+      sort(s, e, [&op](const Point& p1, const Point& p2){ return op.delta()(p1) < op.delta()(p2);});
       rho_max = op.delta()(*--t);
     } else
       rho_max = rho_min;
@@ -1347,16 +1335,16 @@ CGAL_3CENTER_REPEAT_CHECK:
       q_r = op.place_y_square(q_r_afap, r, try_rho);
 
       // check for covering
-      boost::function1<bool,FT>
-        greater_rho_max = boost::bind(less<FT>(), try_rho, _1);
+      std::function<bool(const FT&)>
+        greater_rho_max = [&try_rho](const FT& v){ return try_rho < v; };
       if ((!Q_t_empty && op.compute_x_distance(q_t, Q_t) > try_rho) ||
           (!Q_r_empty && op.compute_y_distance(q_r, Q_r) > try_rho) ||
           e != find_if(
             t + 1,
             e,
-            boost::bind(logical_and<bool>(),
-                 boost::bind(greater_rho_max, boost::bind(op.distance(), q_t, _1)),
-                 boost::bind(greater_rho_max, boost::bind(op.distance(), q_r, _1)))))
+            [&greater_rho_max, &q_t, &q_r, &op](const Point& p)
+            { return greater_rho_max(op.distance()(q_t,p)) &&
+                     greater_rho_max(op.distance()(q_r,p)); }))
         {
           rho_min = try_rho;
           q_t_q_r_cover_at_rho_min = 0;
@@ -1393,17 +1381,16 @@ CGAL_3CENTER_REPEAT_CHECK:
   CGAL_optimisation_assertion(rho_min >= 0);
   FT rad_2 = q_t_q_r_cover_at_rho_min;
   if (s_at_rho_min != e_at_rho_min) {
-    boost::function1<FT,Point>
-      mydist = boost::bind(Min<FT>(),
-                    boost::bind(op.distance(), q_t_at_rho_min, _1),
-                    boost::bind(op.distance(), q_r_at_rho_min, _1));
+    std::function<FT(const Point&)>
+      mydist = [&q_t_at_rho_min, &q_r_at_rho_min, &op](const Point& p)
+               { return Min<FT>()( op.distance()(q_t_at_rho_min, p),
+                                   op.distance()(q_r_at_rho_min, p)); };
     rad_2 =
       max BOOST_PREVENT_MACRO_SUBSTITUTION (
         rad_2,
         mydist(*max_element(s_at_rho_min, e_at_rho_min,
-                            boost::bind(less< FT >(),
-                                 boost::bind(mydist, _1),
-                                 boost::bind(mydist, _2)))));
+                            [&mydist](const Point& p1, const Point& p2)
+                            { return mydist(p1) < mydist(p2); })));
   }
   CGAL_optimisation_assertion(rad_2 == 0 || rad_2 > rho_min);
 
diff --git a/Bounding_volumes/include/CGAL/rectangular_p_center_2.h b/Bounding_volumes/include/CGAL/rectangular_p_center_2.h
index 6034a94f173..1d680e9572f 100644
--- a/Bounding_volumes/include/CGAL/rectangular_p_center_2.h
+++ b/Bounding_volumes/include/CGAL/rectangular_p_center_2.h
@@ -316,7 +316,6 @@ rectangular_p_center_2_matrix_search(
   const Traits& t)
 {
   typedef typename Traits::FT FT;
-  using std::minus;
 
   return rectangular_p_center_2_matrix_search(
     f,
@@ -325,7 +324,9 @@ rectangular_p_center_2_matrix_search(
     r,
     pf,
     t,
-    boost::bind(Max<FT>(), 0, boost::bind(minus<FT>(), _1, _2)));
+    std::function<FT(const FT&, const FT&)>(
+      [](const FT& a, const FT& b) { return Max<FT>()(0, std::minus<FT>()(a,b)); }
+    ));
 
 } // Pcenter_matrix_search( ... )
 

From 3f10219bf4fd953b2847093913a5bbcfe28ce217 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 6 Jan 2021 09:34:57 +0100
Subject: [PATCH 134/317] replace remaining bind in QP_solver

---
 QP_solver/include/CGAL/QP_solution.h          | 45 +++++++++----------
 .../CGAL/QP_solver/QP_basis_inverse_impl.h    |  4 +-
 QP_solver/include/CGAL/QP_solver/QP_solver.h  | 38 +++++++---------
 .../include/CGAL/QP_solver/QP_solver_impl.h   | 19 ++++----
 4 files changed, 49 insertions(+), 57 deletions(-)

diff --git a/QP_solver/include/CGAL/QP_solution.h b/QP_solver/include/CGAL/QP_solution.h
index f1908434cc5..722acf3e7dc 100644
--- a/QP_solver/include/CGAL/QP_solution.h
+++ b/QP_solver/include/CGAL/QP_solution.h
@@ -27,8 +27,6 @@
 #include <CGAL/function_objects.h>
 #include <CGAL/Algebraic_structure_traits.h>
 #include <CGAL/QP_solver/assertions.h>
-#include <boost/bind.hpp>
-#include <boost/function.hpp>
 
 #include <CGAL/boost/iterator/counting_iterator.hpp>
 #include <CGAL/boost/iterator/transform_iterator.hpp>
@@ -75,7 +73,7 @@ public:
   typedef QP_solution_detail::Quotient_normalizer<ET>
   Quotient_normalizer; // normalizer (ET, ET) -> (ET, ET)
 
-  typedef boost::function1< Quotient<ET>, ET >
+  typedef std::function< Quotient<ET>(const ET&) >
   Quotient_maker;
 
   typedef std::vector<int>
@@ -130,10 +128,7 @@ public:
     ET n = solution_numerator();
     ET d = solution_denominator();
     return
-      boost::bind
-      (Quotient_normalizer(), boost::bind
-       (U_Quotient_creator(), _1, _2))
-      (n, d);
+      Quotient_normalizer()( U_Quotient_creator()(n,d) );
       // (solution_numerator(), solution_denominator());
   }
   virtual Quadratic_program_status status() const = 0;
@@ -164,20 +159,22 @@ public:
   original_variable_values_begin( ) const
   { return Variable_value_iterator
       (original_variables_numerator_begin(),
-       boost::bind
-       (boost::bind
-        (Quotient_normalizer(), boost::bind
-         (U_Quotient_creator(), _1, _2)), _1, variables_common_denominator()));
+       [this](const ET& n)
+       {
+         return Quotient_normalizer()(
+           U_Quotient_creator()(n, this->variables_common_denominator()));
+       });
   }
 
   Variable_value_iterator
   original_variable_values_end  ( ) const
   { return Variable_value_iterator
       (original_variables_numerator_end(),
-       boost::bind
-       (boost::bind
-        (Quotient_normalizer(), boost::bind
-         (U_Quotient_creator(), _1, _2)), _1, variables_common_denominator()));
+       [this](const ET& n)
+       {
+         return Quotient_normalizer()(
+           U_Quotient_creator()(n, this->variables_common_denominator()));
+       });
   }
 
   // Basic variables and constraints
@@ -234,10 +231,11 @@ public:
   {
     return Lambda_iterator
      (lambda_numerator_begin(),
-      boost::bind
-      (boost::bind
-       (Quotient_normalizer(), boost::bind
-        (U_Quotient_creator(), _1, _2)), _1, variables_common_denominator()));
+       [this](const ET& n)
+       {
+         return Quotient_normalizer()(
+           U_Quotient_creator()(n, this->variables_common_denominator()));
+       });
   }
 
   Lambda_iterator
@@ -245,10 +243,11 @@ public:
   {
     return Lambda_iterator
      (lambda_numerator_end(),
-      boost::bind
-      (boost::bind
-       (Quotient_normalizer(), boost::bind
-        (U_Quotient_creator(), _1, _2)), _1, variables_common_denominator()));
+       [this](const ET& n)
+       {
+         return Quotient_normalizer()(
+           U_Quotient_creator()(n, this->variables_common_denominator()));
+       });
   }
 
   // destruction
diff --git a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
index 58887c6f9c1..f3f879d8bb7 100644
--- a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
+++ b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
@@ -178,11 +178,11 @@ z_replace_original_by_original(ForwardIterator y_l_it,
 
     // tmp_l -part
     std::transform(y_l_it, (y_l_it+s), x_l.begin(), tmp_l.begin(),
-        [&s_delta](const ET& v1, const ET& v2){ return Identity<ET>()(v1) + v2 * s_delta; });
+        [&s_delta](const ET& v1, const ET& v2){ return v1 + v2 * s_delta; });
 
     // tmp_x -part
     std::transform(y_x_it, (y_x_it+b), x_x.begin(), tmp_x.begin(),
-        [&s_delta](const ET& v1, const ET& v2){ return Identity<ET>()(v1) + v2 * s_delta; });
+        [&s_delta](const ET& v1, const ET& v2){ return v1 + v2 * s_delta; });
     tmp_x[k_i] -= d;
 
     // prepare \hat{k}_{2} -scalar
diff --git a/QP_solver/include/CGAL/QP_solver/QP_solver.h b/QP_solver/include/CGAL/QP_solver/QP_solver.h
index 74c7bb367e1..ff3676702d6 100644
--- a/QP_solver/include/CGAL/QP_solver/QP_solver.h
+++ b/QP_solver/include/CGAL/QP_solver/QP_solver.h
@@ -38,9 +38,6 @@
 
 #include <CGAL/IO/Verbose_ostream.h>
 
-#include <boost/bind.hpp>
-#include <boost/function.hpp>
-
 #include <CGAL/boost/iterator/transform_iterator.hpp>
 
 #include <vector>
@@ -262,7 +259,7 @@ private:
 
   typedef  QP_matrix_accessor< A_iterator, false, true, false, false>
   A_accessor;
-  typedef  boost::function1<typename A_accessor::result_type, int>
+  typedef  std::function<typename A_accessor::result_type(int)>
   A_row_by_index_accessor;
   typedef  boost::transform_iterator
   < A_row_by_index_accessor, Index_iterator >
@@ -1500,9 +1497,12 @@ transition( Tag_false)
   inv_M_B.transition
     (boost::make_transform_iterator
      (B_O.begin(),
-      boost::bind
-      (D_transition_creator_iterator(), B_O.begin(),
-       boost::bind (D_transition_creator_accessor(), qp_D, _1))));
+      [this](int i)
+      {
+        return D_transition_creator_iterator()(
+          this->B_O.begin(),D_transition_creator_accessor()(this->qp_D, i));
+      })
+    );
 }
 
 template < typename Q, typename ET, typename Tags >  inline                                 // LP case
@@ -1597,12 +1597,10 @@ ratio_test_1__q_x_S( Tag_false)
                     A_by_index_iterator( S_B.begin(),
                                          A_by_index_accessor( *(qp_A + j))),
                     q_x_S.begin(),
-                    boost::bind(std::minus<ET>(),
-                                _1,
-                                boost::bind(std::multiplies<ET>(), d,
-                                  boost::bind(
-                                    NT_converter<RT,ET>(),
-                                    _2))));
+                    [this](const ET& n1, const RT& n2)
+                    {
+                      return n1 - this->d *  NT_converter<RT,ET>() (n2);
+                    });
   }
 
   // q_x_S = -+ ( A_S_BxB_O * q_x_O - A_S_Bxj)
@@ -1883,7 +1881,8 @@ basis_matrix_stays_regular()
   if ( has_ineq && (i >= qp_n)) {        // slack variable
     new_row = slack_A[ i-qp_n].first;
     A_row_by_index_accessor  a_accessor =
-      boost::bind (A_accessor( qp_A, 0, qp_n), _1, new_row);
+      [new_row, this](int i){ return A_accessor( this->qp_A, 0, this->qp_n)(i, new_row); };
+
     typedef typename std::iterator_traits<A_row_by_index_iterator>::value_type RT;
     std::transform(A_row_by_index_iterator( B_O.begin(), a_accessor),
                    A_row_by_index_iterator( B_O.end  (), a_accessor),
@@ -1940,17 +1939,14 @@ compute__x_B_S( Tag_false /*has_equalities_only_and_full_rank*/,
                   B_by_index_iterator( S_B.end  (), b_accessor),
                   x_B_S.begin(),
                   x_B_S.begin(),
-                  compose2_2( std::minus<ET>(),
-                              boost::bind1st( std::multiplies<ET>(), d),
-                              Identity<ET>()));
+                  [this](const ET& n1, const ET& n2)
+                  { return this->d * n1 - n2; });
 
   // b_S_B - ( A_S_BxB_O * x_B_O) - r_S_B
   std::transform(x_B_S.begin(), x_B_S.begin()+S_B.size(),
                  r_S_B.begin(), x_B_S.begin(),
-                 compose2_2(std::minus<ET>(),
-                            Identity<ET>(),
-                            boost::bind1st( std::multiplies<ET>(), d)));
-
+                 [this](const ET& n1, const ET& n2)
+                 { return n1 - this->d * n2; });
 
   // x_B_S = +- ( b_S_B - A_S_BxB_O * x_B_O)
   Value_iterator  x_it = x_B_S.begin();
diff --git a/QP_solver/include/CGAL/QP_solver/QP_solver_impl.h b/QP_solver/include/CGAL/QP_solver/QP_solver_impl.h
index bc3788745b2..2d3a66015ef 100644
--- a/QP_solver/include/CGAL/QP_solver/QP_solver_impl.h
+++ b/QP_solver/include/CGAL/QP_solver/QP_solver_impl.h
@@ -14,7 +14,6 @@
 //                 Kaspar Fischer
 
 #include <CGAL/QP_solver/Initialization.h>
-#include <boost/bind.hpp>
 #include <CGAL/NT_converter.h>
 
 namespace CGAL {
@@ -64,9 +63,7 @@ transition( )
     std::transform( C_by_index_iterator( B_O.begin(), c_accessor),
                     C_by_index_iterator( B_O.end  (), c_accessor),
                     minus_c_B.begin(),
-                    boost::bind(
-                      NT_converter<RT,ET>(),
-                      boost::bind(std::negate<RT>(), _1)));
+                    [](const RT& n){return NT_converter<RT,ET>()(-n);} );
 
     // compute initial solution of phase II
     compute_solution(Is_nonnegative());
@@ -1438,7 +1435,7 @@ replace_variable_slack_slack( )
 
     // update basis inverse
     A_row_by_index_accessor  a_accessor =
-      boost::bind( A_accessor( qp_A, 0, qp_n), _1, new_row);
+      [new_row, this](int i){ return A_accessor( this->qp_A, 0, this->qp_n)(i, new_row); };
     typedef typename std::iterator_traits<A_row_by_index_iterator>::value_type RT;
     std::transform(A_row_by_index_iterator( B_O.begin(), a_accessor),
                    A_row_by_index_iterator( B_O.end  (), a_accessor),
@@ -1591,7 +1588,7 @@ replace_variable_original_slack( )
 
     // update basis inverse
     A_row_by_index_accessor  a_accessor =
-      boost::bind (A_accessor( qp_A, 0, qp_n), _1, new_row);
+      [new_row, this](int i){ return A_accessor( this->qp_A, 0, this->qp_n)(i, new_row); };
     typedef typename std::iterator_traits<A_row_by_index_iterator>::value_type RT;
     std::transform(A_row_by_index_iterator( B_O.begin(), a_accessor),
                    A_row_by_index_iterator( B_O.end  (), a_accessor),
@@ -1946,7 +1943,7 @@ leave_variable( )
 
         // update basis inverse
         A_row_by_index_accessor  a_accessor =
-          boost::bind (A_accessor( qp_A, 0, qp_n), _1, new_row);
+          [new_row, this](int i){ return A_accessor( this->qp_A, 0, this->qp_n)(i, new_row); };
         std::copy( A_row_by_index_iterator( B_O.begin(), a_accessor),
                    A_row_by_index_iterator( B_O.end  (), a_accessor),
                    tmp_x.begin());
@@ -2283,7 +2280,7 @@ z_replace_variable_slack_by_original( )
 
     // prepare u
     A_row_by_index_accessor  a_accessor =
-      boost::bind (A_accessor( qp_A, 0, qp_n), _1, new_row);
+      [new_row, this](int i){ return A_accessor( this->qp_A, 0, this->qp_n)(i, new_row); };
     std::copy( A_row_by_index_iterator( B_O.begin(), a_accessor),
                A_row_by_index_iterator( B_O.end  (), a_accessor),
                tmp_x.begin());
@@ -2370,7 +2367,7 @@ z_replace_variable_slack_by_slack( )
     // update basis inverse
     // --------------------
     A_row_by_index_accessor  a_accessor =
-      boost::bind ( A_accessor( qp_A, 0, qp_n), _1, new_row);
+      [new_row, this](int i){ return A_accessor( this->qp_A, 0, this->qp_n)(i, new_row); };
     std::copy( A_row_by_index_iterator( B_O.begin(), a_accessor),
                A_row_by_index_iterator( B_O.end  (), a_accessor),
                tmp_x.begin());
@@ -2937,7 +2934,7 @@ check_basis_inverse( Tag_false)
             }
         }
         v_it = std::find_if( q_x_O.begin(), q_x_O.begin()+cols,
-                             boost::bind2nd( std::not_equal_to<ET>(), et0));
+                             [this](const ET& v){ return v != this->et0; });
         if ( v_it != q_x_O.begin()+cols) {
             if ( ! vout4.verbose()) {
                 std::cerr << std::endl << "basis-inverse check: ";
@@ -2978,7 +2975,7 @@ check_basis_inverse( Tag_false)
         }
 
         v_it = std::find_if( q_lambda.begin(), q_lambda.begin()+rows,
-                             boost::bind2nd( std::not_equal_to<ET>(), et0));
+                             [this](const ET& v){ return v != this->et0; });
         if ( v_it != q_lambda.begin()+rows) {
             if ( ! vout4.verbose()) {
                 std::cerr << std::endl << "basis-inverse check: ";

From bf325bfc60ff53768eb10c1ee48f79a86ed9e0df Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 6 Jan 2021 10:54:49 +0100
Subject: [PATCH 135/317] replace last bind in Bounding_volume

---
 Bounding_volumes/include/CGAL/Min_annulus_d.h |  17 +--
 .../include/CGAL/pierce_rectangles_2.h        | 115 ++++++++++--------
 2 files changed, 69 insertions(+), 63 deletions(-)

diff --git a/Bounding_volumes/include/CGAL/Min_annulus_d.h b/Bounding_volumes/include/CGAL/Min_annulus_d.h
index 70f45488c0b..0bf6532dbd0 100644
--- a/Bounding_volumes/include/CGAL/Min_annulus_d.h
+++ b/Bounding_volumes/include/CGAL/Min_annulus_d.h
@@ -258,9 +258,6 @@ private:
   typedef  QP_access_by_index
   <typename std::vector<Point>::const_iterator, int> Point_by_index;
 
-  typedef  boost::binder2nd< std::divides<int> >
-  Divide;
-
   typedef  std::vector<int>           Index_vector;
 
   typedef  std::vector<NT>            NT_vector;
@@ -272,7 +269,7 @@ public:
 
   typedef  CGAL::Join_input_iterator_1<
     Basic_variable_index_iterator,
-    CGAL::Unary_compose_1<Point_by_index,Divide> >
+    std::function<Point(int)> >
   Support_point_iterator;
 
 
@@ -331,9 +328,7 @@ public:
                                     "support_points_begin: not enough points");
     return Support_point_iterator(
                                   solver->basic_original_variable_indices_begin(),
-                                  CGAL::compose1_1(
-                                                   Point_by_index( points.begin()),
-                                                   boost::bind2nd( std::divides<int>(), 2)));
+                                  [this](int i){ return Point_by_index(this->points.begin())(i/2); });
   }
 
   Support_point_iterator
@@ -342,9 +337,7 @@ public:
                                     "support_points_begin: not enough points");
     return Support_point_iterator(
                                   solver->basic_original_variable_indices_end(),
-                                  CGAL::compose1_1(
-                                                   Point_by_index( points.begin()),
-                                                   boost::bind2nd( std::divides<int>(), 2)));
+                                  [this](int i){ return Point_by_index(this->points.begin())(i/2); });
   }
 
   int  number_of_inner_support_points() const { return static_cast<int>(inner_indices.size());}
@@ -592,9 +585,7 @@ private:
   bool
   check_dimension( std::size_t  offset = 0)
   { return ( std::find_if( points.begin()+offset, points.end(),
-                           CGAL::compose1_1( boost::bind2nd(
-                                                          std::not_equal_to<int>(), d),
-                                             tco.access_dimension_d_object()))
+                          [this](const Point& p){ return this->d != this->tco.access_dimension_d_object()(p); })
              == points.end()); }
 
   // compute smallest enclosing annulus
diff --git a/Bounding_volumes/include/CGAL/pierce_rectangles_2.h b/Bounding_volumes/include/CGAL/pierce_rectangles_2.h
index 9a3bfb91883..ebaf8081e1c 100644
--- a/Bounding_volumes/include/CGAL/pierce_rectangles_2.h
+++ b/Bounding_volumes/include/CGAL/pierce_rectangles_2.h
@@ -22,7 +22,6 @@
 #include <algorithm>
 #include <iterator>
 #include <vector>
-#include <boost/bind.hpp>
 
 #if defined(BOOST_MSVC)
 #  pragma warning(push)
@@ -235,14 +234,16 @@ struct Staircases : public Loc_domain< Traits_ > {
     do {
       brstc.push_back(*i++);
       i = find_if(i, ysort.end(),
-                  boost::bind(this->traits.less_x_2_object(), brstc.back(), _1));
+                  [this](const Point_2& p)
+                  { return this->traits.less_x_2_object()(this->brstc.back(), p);});
     } while (i != ysort.end());
     // top-left
     Riterator j = ysort.rbegin();
     do {
       tlstc.push_back(*j++);
       j = find_if(j, ysort.rend(),
-                  boost::bind(this->traits.less_x_2_object(), _1, tlstc.back()));
+                     [this](const Point_2& p)
+                     { return this->traits.less_x_2_object()(p, this->tlstc.back());});
     } while (j != ysort.rend());
 
     // build left-bottom and right-top staircases
@@ -252,14 +253,16 @@ struct Staircases : public Loc_domain< Traits_ > {
     do {
       lbstc.push_back(*i++);
       i = find_if(i, xsort.end(),
-                  boost::bind(this->traits.less_y_2_object(), _1, lbstc.back()));
+                  [this](const Point_2& p)
+                  { return this->traits.less_y_2_object()(p, this->lbstc.back());});
     } while (i != xsort.end());
     // right-top
     j = xsort.rbegin();
     do {
       rtstc.push_back(*j++);
       j = find_if(j, xsort.rend(),
-                  boost::bind(this->traits.less_y_2_object(), rtstc.back(), _1));
+                  [this](const Point_2& p)
+                  { return this->traits.less_y_2_object()(this->rtstc.back(), p);});
     } while (j != xsort.rend());
   } // Staircases(b, e, t)
 
@@ -300,16 +303,20 @@ struct Staircases : public Loc_domain< Traits_ > {
       min_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_x_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), p, _1),
-                    boost::bind(this->traits.less_y_2_object(), p, _1)));
+        [&p, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(p, pt) &&
+                 this->traits.less_y_2_object()(p, pt);
+        });
     Citerator j =
       max_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_x_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), _1, q),
-                    boost::bind(this->traits.less_y_2_object(), q, _1)));
+        [&q, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(pt, q) &&
+                 this->traits.less_y_2_object()(q, pt);
+        });
     return Intervall(i == this->pts.end() ? this->maxx : *i,
                      j == this->pts.end() ? this->minx : *j);
   } // top_intervall()
@@ -326,16 +333,20 @@ struct Staircases : public Loc_domain< Traits_ > {
       min_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_x_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), p, _1),
-                    boost::bind(this->traits.less_y_2_object(), _1, p)));
+        [&p, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(p, pt) &&
+                 this->traits.less_y_2_object()(pt, p);
+        });
     Citerator j =
       max_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_x_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), _1, q),
-                    boost::bind(this->traits.less_y_2_object(), _1, q)));
+        [&q, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(pt, q) &&
+                 this->traits.less_y_2_object()(pt, q);
+        });
     return Intervall(i == this->pts.end() ? this->maxx : *i,
                      j == this->pts.end() ? this->minx : *j);
   } // bottom_intervall()
@@ -352,16 +363,20 @@ struct Staircases : public Loc_domain< Traits_ > {
       min_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_y_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), _1, p),
-                    boost::bind(this->traits.less_y_2_object(), p, _1)));
+        [&p, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(pt, p) &&
+                 this->traits.less_y_2_object()(p, pt);
+        });
     Citerator j =
       max_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_y_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), _1, q),
-                    boost::bind(this->traits.less_y_2_object(), _1, q)));
+        [&q, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(pt, q) &&
+                 this->traits.less_y_2_object()(pt, q);
+        });
     return Intervall(i == this->pts.end() ? this->maxy : *i,
                      j == this->pts.end() ? this->miny : *j);
   } // left_intervall()
@@ -378,16 +393,20 @@ struct Staircases : public Loc_domain< Traits_ > {
       min_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_y_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), p, _1),
-                    boost::bind(this->traits.less_y_2_object(), p, _1)));
+        [&p, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(p, pt) &&
+                 this->traits.less_y_2_object()(p, pt);
+        });
     Citerator j =
       max_element_if(
         this->pts.begin(), this->pts.end(),
         this->traits.less_y_2_object(),
-        boost::bind(std::logical_and< bool >(),
-                    boost::bind(this->traits.less_x_2_object(), q, _1),
-                    boost::bind(this->traits.less_y_2_object(), _1, q)));
+        [&q, this](const Point_2& pt)
+        {
+          return this->traits.less_x_2_object()(q, pt) &&
+                 this->traits.less_y_2_object()(pt, q);
+        });
     return Intervall(i == this->pts.end() ? this->maxy : *i,
                      j == this->pts.end() ? this->miny : *j);
   } // right_intervall()
@@ -487,6 +506,7 @@ two_cover_points(
   using std::less;
 
   typedef typename Traits::FT           FT;
+  typedef typename Traits::Point_2           Point_2;
   typename Traits::Infinity_distance_2 dist =
     d.traits.infinity_distance_2_object();
   typename Traits::Signed_infinity_distance_2 sdist =
@@ -504,11 +524,8 @@ two_cover_points(
     if (d.end() ==
         find_if(d.begin(),
                 d.end(),
-                boost::bind(less<FT>(),
-                     d.r,
-                     boost::bind(Min<FT>(),
-                          boost::bind(dist, d[0], _1),
-                          boost::bind(dist, d[2], _1)))))
+                [&dist,&d](const Point_2& p)
+                { return d.r < Min<FT>()(dist(d[0], p), dist(d[2],p)); }))
       {
         *o++ = d[0];
         *o++ = d[2];
@@ -520,11 +537,8 @@ two_cover_points(
     if (d.end() ==
         find_if(d.begin(),
                 d.end(),
-                boost::bind(less<FT>(),
-                     d.r,
-                     boost::bind(Min<FT>(),
-                          boost::bind(dist, d[1], _1),
-                          boost::bind(dist, d[3], _1)))))
+                [&dist,&d](const Point_2& p)
+                { return d.r < Min<FT>()(dist(d[1], p), dist(d[3],p)); }))
       {
         *o++ = d[1];
         *o++ = d[3];
@@ -551,7 +565,6 @@ three_cover_points(
   CGAL_optimisation_precondition(!d.empty());
 
   // typedefs:
-  typedef typename Traits::FT                      FT;
   typedef typename Traits::Point_2                 Point_2;
   typedef typename Loc_domain< Traits >::Iterator  Iterator;
   typename Traits::Infinity_distance_2 dist =
@@ -565,7 +578,8 @@ three_cover_points(
 
     // find first point not covered by the rectangle at d[k]
     Iterator i = find_if(d.begin(), d.end(),
-                         boost::bind(less<FT>(), d.r, boost::bind(dist, corner, _1)));
+                         [&d,&dist, &corner](const Point_2& p)
+                         { return d.r < dist(corner, p); });
 
     // are all points already covered?
     if (i == d.end()) {
@@ -608,12 +622,12 @@ three_cover_points(
 
     CGAL_optimisation_expensive_assertion(
       save_end == find_if(d.end(), save_end,
-                          boost::bind(less<FT>(), d.r, boost::bind(dist, corner, _1))));
+                         [&d, &dist, &corner](const Point_2& p)
+                         { return d.r < dist(corner, p); }));
     CGAL_optimisation_expensive_assertion(
       d.end() == find_if(d.begin(), d.end(),
-                         boost::bind(std::greater_equal<FT>(),
-                              d.r,
-                              boost::bind(dist, corner, _1))));
+                         [&d,&dist, &corner](const Point_2& p)
+                         { return d.r >= dist(corner, p); }));
 
 
     two_cover_points(d, o, ok);
@@ -702,7 +716,8 @@ four_cover_points(Staircases< Traits >& d, OutputIterator o, bool& ok)
 
     // find first point not covered by the rectangle at d[k]
     Iterator i = find_if(d.begin(), d.end(),
-                         boost::bind(less<FT>(), d.r, boost::bind(dist, corner, _1)));
+                         [&d,&dist,&corner](const Point_2& p)
+                         { return d.r < dist(corner, p); });
 
     // are all points already covered?
     if (i == d.end()) {
@@ -745,12 +760,12 @@ four_cover_points(Staircases< Traits >& d, OutputIterator o, bool& ok)
 
     CGAL_optimisation_expensive_assertion(
       save_end == find_if(d.end(), save_end,
-                          boost::bind(less<FT>(), d.r, boost::bind(dist, corner, _1))));
+                          [&d,&dist,&corner](const Point_2& p)
+                          { return d.r < dist(corner, p); }));
     CGAL_optimisation_expensive_assertion(
       d.end() == find_if(d.begin(), d.end(),
-                         boost::bind(std::greater_equal<FT>(),
-                              d.r,
-                              boost::bind(dist, corner, _1))));
+                         [&d,&dist,&corner](const Point_2& p)
+                         { return d.r >= dist(corner, p); }));
 
 
     three_cover_points(d, o, ok);

From 41ceed534723ca24191a485307be8a83b9aeb044 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 6 Jan 2021 10:55:17 +0100
Subject: [PATCH 136/317] match requirements of CGAL adaptors

---
 STL_Extension/test/STL_Extension/test_composition.cpp | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/STL_Extension/test/STL_Extension/test_composition.cpp b/STL_Extension/test/STL_Extension/test_composition.cpp
index a4d4c4d5d66..c9a3caaea61 100644
--- a/STL_Extension/test/STL_Extension/test_composition.cpp
+++ b/STL_Extension/test/STL_Extension/test_composition.cpp
@@ -29,8 +29,8 @@ int main()
 {
   plus< int >        pl;
   multiplies< int >  mu;
-  auto op1 = [](int i){ return i+1; };
-  auto op2 = [](int i){ return i * 2; };
+  std::function<int(int)> op1 = [](int i){ return i+1; };
+  std::function<int(int)> op2 = [](int i){ return i * 2; };
 
   // compose1_2:
   int a[] = {3,5,7,2,4};

From 87e20cd5741a102d78cf30a3992c436a354689ff Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 6 Jan 2021 10:55:43 +0100
Subject: [PATCH 137/317] add missing using namespace

---
 QP_solver/test/QP_solver/test_bind.cpp | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/QP_solver/test/QP_solver/test_bind.cpp b/QP_solver/test/QP_solver/test_bind.cpp
index b1c592c9be2..ce828b73068 100644
--- a/QP_solver/test/QP_solver/test_bind.cpp
+++ b/QP_solver/test/QP_solver/test_bind.cpp
@@ -20,6 +20,8 @@ struct Quotient_inverter
   }
 };
 
+using namespace std::placeholders;
+
 int main()
 {
   // create composed functor (a,b) -> b/a...

From 3882d270764711b2eb8fd4802987b8d970e5df15 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 6 Jan 2021 10:55:53 +0100
Subject: [PATCH 138/317] remove bind in Incribed_areas

---
 Inscribed_areas/include/CGAL/extremal_polygon_2.h | 6 ++----
 1 file changed, 2 insertions(+), 4 deletions(-)

diff --git a/Inscribed_areas/include/CGAL/extremal_polygon_2.h b/Inscribed_areas/include/CGAL/extremal_polygon_2.h
index 33c6a126f9a..2cd09fdd7c0 100644
--- a/Inscribed_areas/include/CGAL/extremal_polygon_2.h
+++ b/Inscribed_areas/include/CGAL/extremal_polygon_2.h
@@ -25,8 +25,6 @@
 #include <functional>
 #include <algorithm>
 #include <CGAL/Extremal_polygon_traits_2.h>
-#include <boost/bind.hpp>
-#include <boost/bind/make_adaptable.hpp>
 namespace CGAL {
 
 //!!! This will eventually be integrated into function_objects.h
@@ -443,8 +441,8 @@ extremal_polygon_2(
     k,
     CGAL::transform_iterator(
       o,
-      boost::make_adaptable<Point_2, int>(boost::bind(Index_operator< RandomAccessIC, int, Point_2 >(),
-                                                      points_begin, _1))),
+      std::function<Point_2(int)>([points_begin](int i)
+      { return Index_operator< RandomAccessIC, int, Point_2 >()(points_begin, i); })),
     t);
 }
 

From ea0386c3334fd48599f2fff2d39b00be993266f5 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 6 Jan 2021 11:36:32 +0100
Subject: [PATCH 139/317] replace last bind

---
 STL_Extension/include/CGAL/Spatial_lock_grid_3.h | 4 +---
 1 file changed, 1 insertion(+), 3 deletions(-)

diff --git a/STL_Extension/include/CGAL/Spatial_lock_grid_3.h b/STL_Extension/include/CGAL/Spatial_lock_grid_3.h
index 1189a120a33..f5d2b6df798 100644
--- a/STL_Extension/include/CGAL/Spatial_lock_grid_3.h
+++ b/STL_Extension/include/CGAL/Spatial_lock_grid_3.h
@@ -16,8 +16,6 @@
 
 #include <CGAL/Bbox_3.h>
 
-#include <boost/bind.hpp>
-
 #include <atomic>
 #if TBB_IMPLEMENT_CPP0X
 # include <tbb/compat/thread>
@@ -334,7 +332,7 @@ protected:
   Spatial_lock_grid_base_3(const Bbox_3 &bbox,
                                           int num_grid_cells_per_axis)
     : m_num_grid_cells_per_axis(num_grid_cells_per_axis),
-      m_tls_grids(boost::bind(init_TLS_grid, num_grid_cells_per_axis))
+      m_tls_grids([num_grid_cells_per_axis](){ return init_TLS_grid(num_grid_cells_per_axis); })
   {
     set_bbox(bbox);
   }

From 7418c4217baf18324683b272429c354dda21c5a7 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 7 Jan 2021 11:15:39 +0100
Subject: [PATCH 140/317] Try to select context according to OS

---
 .../include/CGAL/draw_triangulation_2.h       | 31 ++++++++++++++++++-
 1 file changed, 30 insertions(+), 1 deletion(-)

diff --git a/Triangulation_2/include/CGAL/draw_triangulation_2.h b/Triangulation_2/include/CGAL/draw_triangulation_2.h
index 60d15734b2f..372065b428e 100644
--- a/Triangulation_2/include/CGAL/draw_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/draw_triangulation_2.h
@@ -22,6 +22,35 @@
 
 namespace CGAL
 {
+namespace internal_test{
+
+
+int& code_to_call_before_creation_of_QCoreApplication(int& i) {
+  QSurfaceFormat fmt;
+#ifdef Q_OS_MAC
+  fmt.setDepthBufferSize(24);
+  fmt.setStencilBufferSize(8);
+  fmt.setVersion(2,0);
+  fmt.setRenderableType(QSurfaceFormat::OpenGLES);
+  fmt.setSamples(0);
+#else
+  fmt.setVersion(4, 3);
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+#endif
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
+
+  //for windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QCoreApplication::setAttribute(::Qt::AA_UseDesktopOpenGL);
+#endif
+
+  //We set the locale to avoid any trouble with VTK
+  setlocale(LC_ALL, "C");
+  return i;
+}
+}
 
 // Default color functor; user can change it to have its own face color
 struct DefaultColorFunctorT2
@@ -146,7 +175,7 @@ void draw(const CGAL_T2_TYPE& at2,
   {
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::internal_test::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     DefaultColorFunctorT2 fcolor;
     SimpleTriangulation2ViewerQt<CGAL_T2_TYPE, DefaultColorFunctorT2>
       mainwindow(app.activeWindow(), at2, title, nofill, fcolor);

From f25363131dd14414093f433e77f6cfd6020e744d Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Thu, 7 Jan 2021 10:27:22 +0000
Subject: [PATCH 141/317] Switch to variant in Nef_3

---
 ...xact_triangulation_euclidean_traits_xy_3.h | 62 +++++++++++--------
 ...xact_triangulation_euclidean_traits_xz_3.h | 59 +++++++++++-------
 ...xact_triangulation_euclidean_traits_yz_3.h | 58 ++++++++++-------
 3 files changed, 108 insertions(+), 71 deletions(-)

diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
index ccd9e3fdb37..4e84e3eebc7 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
@@ -28,13 +28,16 @@ template<class R, class Tag> struct Exact_intersect_xy_2;
 template <class R>
 struct Exact_intersect_xy_2 <R,Cartesian_tag>
 {
-   typedef typename R::Point_2     Point_2;
-   typedef typename R::Segment_2   Segment_2;
+  typedef typename R::Point_2     Point_2;
+  typedef typename R::Segment_2   Segment_2;
 
-   typedef typename R::Point_3     Point_3;
-   typedef typename R::Segment_3   Segment_3;
+  typedef typename R::Point_3     Point_3;
+  typedef typename R::Segment_3   Segment_3;
 
-   CGAL::Object operator() (Segment_3 s3, Segment_3 t3)
+  typedef  boost::variant<Point_3, Segment_3> variant_type;
+
+  boost::optional<variant_type>
+  operator() (const Segment_3& s3, const Segment_3& t3)
    {  Point_2 p2, q2;
       Point_3 p3, q3;
 
@@ -50,17 +53,21 @@ struct Exact_intersect_xy_2 <R,Cartesian_tag>
       // convert intersection from Object_2 to Object_3
       // Note: there is not necessarily a spartial intersection,
       //       so all third components are faked!
-      CGAL::Object obj = intersection (s2,t2);
-      if ( CGAL::assign(p2, obj) )
-      {  obj = make_object (Point_3 (p2.x(),p2.y(),0));
+      auto obj = intersection (s2,t2);
+      if(! obj){
+        return boost::none;
       }
-      else if ( CGAL::assign(s2, obj) )
-      {  p2 = s2.source();
-         q2 = s2.target();
-         obj = make_object( Segment_3(
-               Point_3(p2.x(),p2.y(),0), Point_3(q2.x(),q2.y(),0) ) );
+      if (const Point_2* pi =  boost::get<Point_2>(&*obj))
+      {
+        return boost::make_optional(variant_type(Point_3(p2.x(),p2.y(),0)));
       }
-      return obj;
+
+      const Segment_2* si = boost::get<Segment_2>(&*obj);
+      p2 = s2.source();
+      q2 = s2.target();
+
+      return boost::make_optional(variant_type(Segment_3(Point_3(p2.x(),p2.y(),0),
+                                                         Point_3(q2.x(),q2.y(),0) ) ));
    }
 };
 
@@ -73,7 +80,9 @@ struct Exact_intersect_xy_2 <R,Homogeneous_tag>
    typedef typename R::Point_3     Point_3;
    typedef typename R::Segment_3   Segment_3;
 
-   CGAL::Object operator() (Segment_3 s3, Segment_3 t3)
+   typedef  boost::variant<Point_3, Segment_3> variant_type;
+
+   boost::optional<variant_type> operator() (Segment_3 s3, Segment_3 t3)
    {  Point_2 p2, q2;
       Point_3 p3, q3;
 
@@ -91,18 +100,21 @@ struct Exact_intersect_xy_2 <R,Homogeneous_tag>
       // convert intersection from Object_2 to Object_3
       // Note: there is not necessarily a spartial intersection,
       //       so all third components are faked!
-      CGAL::Object obj = intersection (s2,t2);
-      if ( CGAL::assign(p2, obj) )
-      {  obj = make_object (Point_3 (p2.hx(),p2.hy(),0,p2.hw()));
+      auto obj = intersection (s2,t2);
+      if(! obj){
+        return boost::none;
       }
-      else if ( CGAL::assign(s2, obj) )
-      {  p2 = s2.source();
-         q2 = s2.target();
-         obj = make_object( Segment_3(
-            Point_3 (p2.hx(),p2.hy(),0,p2.hw()),
-            Point_3 (q2.hx(),q2.hy(),0,q2.hw()) ) );
+      if (const Point_2* pi =  boost::get<Point_2>(&*obj))
+      {
+        return boost::make_optional(variant_type(Point_3(p2.hx(),p2.hy(),0,p2.hw())));
       }
-      return obj;
+
+      const Segment_2* si = boost::get<Segment_2>(&*obj);
+      p2 = s2.source();
+      q2 = s2.target();
+
+      return boost::make_optional(variant_type(Segment_3(Point_3 (p2.hx(),p2.hy(),0,p2.hw()),
+                                                         Point_3 (q2.hx(),q2.hy(),0,q2.hw())) ));
    }
 };
 
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
index 0e1ccf6864a..178b8b6ad2c 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
@@ -33,7 +33,10 @@ struct Exact_intersect_xz_2 <R,Cartesian_tag>
    typedef typename R::Point_3     Point_3;
    typedef typename R::Segment_3   Segment_3;
 
-   CGAL::Object operator() (Segment_3 s3, Segment_3 t3)
+   typedef  boost::variant<Point_3, Segment_3> variant_type;
+
+   boost::optional<variant_type>
+   operator() (const Segment_3& s3, const Segment_3& t3)
    {  Point_2 p2, q2;
       Point_3 p3, q3;
 
@@ -48,18 +51,22 @@ struct Exact_intersect_xz_2 <R,Cartesian_tag>
 
       // convert intersection from Object_2 to Object_3
       // Note: there is not necessarily a spartial intersection,
-      //       so all second components are faked!
-      CGAL::Object obj = intersection (s2,t2);
-      if ( CGAL::assign(p2, obj) )
-      {  obj = make_object (Point_3 (p2.x(),0,p2.y()));
+      //       so all third components are faked!
+      auto obj = intersection (s2,t2);
+      if(! obj){
+        return boost::none;
       }
-      else if ( CGAL::assign(s2, obj) )
-      {  p2 = s2.source();
-         q2 = s2.target();
-         obj = make_object( Segment_3(
-               Point_3(p2.x(),0,p2.y()), Point_3(q2.x(),0,q2.y()) ) );
+      if (const Point_2* pi =  boost::get<Point_2>(&*obj))
+      {
+        return boost::make_optional(variant_type(Point_3(p2.x(),0,p2.y())));
       }
-      return obj;
+
+      const Segment_2* si = boost::get<Segment_2>(&*obj);
+      p2 = s2.source();
+      q2 = s2.target();
+
+      return boost::make_optional(variant_type(Segment_3(Point_3(p2.x(),0,p2.y()),
+                                                         Point_3(q2.x(),0,q2.y()) ) ));
    }
 };
 
@@ -72,7 +79,9 @@ struct Exact_intersect_xz_2 <R,Homogeneous_tag>
    typedef typename R::Point_3     Point_3;
    typedef typename R::Segment_3   Segment_3;
 
-   CGAL::Object operator() (Segment_3 s3, Segment_3 t3)
+   typedef  boost::variant<Point_3, Segment_3> variant_type;
+
+   boost::optional<variant_type> operator() (Segment_3 s3, Segment_3 t3)
    {  Point_2 p2, q2;
       Point_3 p3, q3;
 
@@ -89,20 +98,24 @@ struct Exact_intersect_xz_2 <R,Homogeneous_tag>
 
       // convert intersection from Object_2 to Object_3
       // Note: there is not necessarily a spartial intersection,
-      //       so all second components are faked!
-      CGAL::Object obj = intersection (s2,t2);
-      if ( CGAL::assign(p2, obj) )
-      {  obj = make_object (Point_3 (p2.hx(),0,p2.hy(),p2.hw()));
+      //       so all third components are faked!
+      auto obj = intersection (s2,t2);
+      if(! obj){
+        return boost::none;
       }
-      else if ( CGAL::assign(s2, obj) )
-      {  p2 = s2.source();
-         q2 = s2.target();
-         obj = make_object( Segment_3(
-            Point_3 (p2.hx(),0,p2.hy(),p2.hw()),
-            Point_3 (q2.hx(),0,q2.hy(),q2.hw()) ) );
+      if (const Point_2* pi =  boost::get<Point_2>(&*obj))
+      {
+        return boost::make_optional(variant_type(Point_3(p2.hx(),0,p2.hy(),p2.hw())));
       }
-      return obj;
+
+      const Segment_2* si = boost::get<Segment_2>(&*obj);
+      p2 = s2.source();
+      q2 = s2.target();
+
+      return boost::make_optional(variant_type(Segment_3(Point_3 (p2.hx(),0,p2.hy(),p2.hw()),
+                                                         Point_3 (q2.hx(),0,q2.hy(),q2.hw())) ));
    }
+
 };
 
 template <class R>
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
index 9779a836401..2ff1f85a2c7 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
@@ -34,7 +34,10 @@ struct Exact_intersect_yz_2 <R,Cartesian_tag>
    typedef typename R::Point_3     Point_3;
    typedef typename R::Segment_3   Segment_3;
 
-   CGAL::Object operator() (Segment_3 s3, Segment_3 t3)
+   typedef  boost::variant<Point_3, Segment_3> variant_type;
+
+   boost::optional<variant_type>
+   operator() (const Segment_3& s3, const Segment_3& t3)
    {  Point_2 p2, q2;
       Point_3 p3, q3;
 
@@ -49,18 +52,22 @@ struct Exact_intersect_yz_2 <R,Cartesian_tag>
 
       // convert intersection from Object_2 to Object_3
       // Note: there is not necessarily a spartial intersection,
-      //       so all first components are faked!
-      CGAL::Object obj = intersection (s2,t2);
-      if ( CGAL::assign(p2, obj) )
-      {  obj = make_object (Point_3 (0,p2.x(),p2.y()));
+      //       so all third components are faked!
+      auto obj = intersection (s2,t2);
+      if(! obj){
+        return boost::none;
       }
-      else if ( CGAL::assign(s2, obj) )
-      {  p2 = s2.source();
-         q2 = s2.target();
-         obj = make_object( Segment_3(
-               Point_3(0,p2.x(),p2.y()), Point_3(0,q2.x(),q2.y()) ) );
+      if (const Point_2* pi =  boost::get<Point_2>(&*obj))
+      {
+        return boost::make_optional(variant_type(Point_3(0,p2.x(),p2.y())));
       }
-      return obj;
+
+      const Segment_2* si = boost::get<Segment_2>(&*obj);
+      p2 = s2.source();
+      q2 = s2.target();
+
+      return boost::make_optional(variant_type(Segment_3(Point_3(0,p2.x(),p2.y()),
+                                                         Point_3(0,q2.x(),q2.y()) ) ));
    }
 };
 
@@ -73,7 +80,9 @@ struct Exact_intersect_yz_2 <R,Homogeneous_tag>
    typedef typename R::Point_3     Point_3;
    typedef typename R::Segment_3   Segment_3;
 
-   CGAL::Object operator() (Segment_3 s3, Segment_3 t3)
+   typedef  boost::variant<Point_3, Segment_3> variant_type;
+
+   boost::optional<variant_type> operator() (Segment_3 s3, Segment_3 t3)
    {  Point_2 p2, q2;
       Point_3 p3, q3;
 
@@ -90,19 +99,22 @@ struct Exact_intersect_yz_2 <R,Homogeneous_tag>
 
       // convert intersection from Object_2 to Object_3
       // Note: there is not necessarily a spartial intersection,
-      //       so all first components are faked!
-      CGAL::Object obj = intersection (s2,t2);
-      if ( CGAL::assign(p2, obj) )
-      {  obj = make_object (Point_3 (0,p2.hx(),p2.hy(),p2.hw()));
+      //       so all third components are faked!
+      auto obj = intersection (s2,t2);
+      if(! obj){
+        return boost::none;
       }
-      else if ( CGAL::assign(s2, obj) )
-      {  p2 = s2.source();
-         q2 = s2.target();
-         obj = make_object( Segment_3(
-            Point_3 (0,p2.hx(),p2.hy(),p2.hw()),
-            Point_3 (0,q2.hx(),q2.hy(),q2.hw()) ) );
+      if (const Point_2* pi =  boost::get<Point_2>(&*obj))
+      {
+        return boost::make_optional(variant_type(Point_3(0,p2.hx(),p2.hy(),p2.hw())));
       }
-      return obj;
+
+      const Segment_2* si = boost::get<Segment_2>(&*obj);
+      p2 = s2.source();
+      q2 = s2.target();
+
+      return boost::make_optional(variant_type(Segment_3(Point_3 (0,p2.hx(),p2.hy(),p2.hw()),
+                                                         Point_3 (0,q2.hx(),q2.hy(),q2.hw())) ));
    }
 };
 

From 7c6bbaaea0126bcf18de2cf08134f581b4c251c7 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 7 Jan 2021 11:27:49 +0100
Subject: [PATCH 142/317] debug

---
 Triangulation_2/include/CGAL/draw_triangulation_2.h | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Triangulation_2/include/CGAL/draw_triangulation_2.h b/Triangulation_2/include/CGAL/draw_triangulation_2.h
index 372065b428e..1d034adbe5e 100644
--- a/Triangulation_2/include/CGAL/draw_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/draw_triangulation_2.h
@@ -28,6 +28,7 @@ namespace internal_test{
 int& code_to_call_before_creation_of_QCoreApplication(int& i) {
   QSurfaceFormat fmt;
 #ifdef Q_OS_MAC
+  std::cout<<"Running on mac"<<std::endl;
   fmt.setDepthBufferSize(24);
   fmt.setStencilBufferSize(8);
   fmt.setVersion(2,0);

From 2b77481cd45d13db122da4b0291ed2068d053d50 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Thu, 7 Jan 2021 10:31:14 +0000
Subject: [PATCH 143/317] Move a typedef to where it is used

---
 Triangulation_2/include/CGAL/Constrained_triangulation_2.h | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/Triangulation_2/include/CGAL/Constrained_triangulation_2.h b/Triangulation_2/include/CGAL/Constrained_triangulation_2.h
index 1d337cd3aaf..32317818174 100644
--- a/Triangulation_2/include/CGAL/Constrained_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/Constrained_triangulation_2.h
@@ -1711,7 +1711,7 @@ compute_intersection(const Gt& gt,
              typename Gt::Point_2& pi)
 {
   typedef typename Gt::Point_2 Point_2;
-  typedef typename Gt::Segment_2 Segment_2;
+
   typename Gt::Intersect_2 compute_intersec = gt.intersect_2_object();
   typename Gt::Construct_segment_2 construct_segment = gt.construct_segment_2_object();
 
@@ -1721,6 +1721,7 @@ compute_intersection(const Gt& gt,
 
 
 #ifdef CGAL_CDT_2_DEBUG_INTERSECTIONS
+  typedef typename Gt::Segment_2 Segment_2;
   if(result){
     if (const Segment_2* s = boost::get<Segment_2>(&*result)){
       std::cerr << CGAL::internal::cdt_2_indent_level

From 02eb3648ad39a8086b7255f8355bcf300989e5af Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 7 Jan 2021 11:43:13 +0100
Subject: [PATCH 144/317] Try something else

---
 Triangulation_2/include/CGAL/draw_triangulation_2.h | 9 ++-------
 1 file changed, 2 insertions(+), 7 deletions(-)

diff --git a/Triangulation_2/include/CGAL/draw_triangulation_2.h b/Triangulation_2/include/CGAL/draw_triangulation_2.h
index 1d034adbe5e..58e069282ba 100644
--- a/Triangulation_2/include/CGAL/draw_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/draw_triangulation_2.h
@@ -28,17 +28,12 @@ namespace internal_test{
 int& code_to_call_before_creation_of_QCoreApplication(int& i) {
   QSurfaceFormat fmt;
 #ifdef Q_OS_MAC
-  std::cout<<"Running on mac"<<std::endl;
-  fmt.setDepthBufferSize(24);
-  fmt.setStencilBufferSize(8);
-  fmt.setVersion(2,0);
-  fmt.setRenderableType(QSurfaceFormat::OpenGLES);
-  fmt.setSamples(0);
+  fmt.setVersion(4, 1);
 #else
   fmt.setVersion(4, 3);
+#endif
   fmt.setRenderableType(QSurfaceFormat::OpenGL);
   fmt.setProfile(QSurfaceFormat::CoreProfile);
-#endif
   fmt.setOption(QSurfaceFormat::DebugContext);
   QSurfaceFormat::setDefaultFormat(fmt);
 

From 4f3c4256b0bd27ab77870f1345aab9a178e9867d Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 7 Jan 2021 12:03:46 +0100
Subject: [PATCH 145/317] Use version150

---
 .../include/CGAL/Qt/Basic_viewer_qt.h         | 40 ++++++++++---------
 1 file changed, 21 insertions(+), 19 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
index 547cff022b8..7d93cb2aa34 100644
--- a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
+++ b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
@@ -58,17 +58,17 @@ namespace CGAL
 //------------------------------------------------------------------------------
 const char vertex_source_color[] =
   {
-    "#version 120 \n"
-    "attribute highp vec4 vertex;\n"
-    "attribute highp vec3 normal;\n"
-    "attribute highp vec3 color;\n"
+    "#version 150 \n"
+    "in highp vec4 vertex;\n"
+    "in highp vec3 normal;\n"
+    "in highp vec3 color;\n"
 
     "uniform highp mat4 mvp_matrix;\n"
     "uniform highp mat4 mv_matrix; \n"
 
-    "varying highp vec4 fP; \n"
-    "varying highp vec3 fN; \n"
-    "varying highp vec4 fColor; \n"
+    "out highp vec4 fP; \n"
+    "out highp vec3 fN; \n"
+    "out highp vec4 fColor; \n"
 
     "uniform highp float point_size; \n"
     "void main(void)\n"
@@ -83,15 +83,16 @@ const char vertex_source_color[] =
 
 const char fragment_source_color[] =
   {
-    "#version 120 \n"
-    "varying highp vec4 fP; \n"
-    "varying highp vec3 fN; \n"
-    "varying highp vec4 fColor; \n"
+    "#version 150 \n"
+    "in highp vec4 fP; \n"
+    "in highp vec3 fN; \n"
+    "in highp vec4 fColor; \n"
     "uniform highp vec4 light_pos;  \n"
     "uniform highp vec4 light_diff; \n"
     "uniform highp vec4 light_spec; \n"
     "uniform highp vec4 light_amb;  \n"
     "uniform float spec_power ; \n"
+    "out vec4 out_color; \n"
 
     "void main(void) { \n"
     "   highp vec3 L = light_pos.xyz - fP.xyz; \n"
@@ -104,18 +105,18 @@ const char fragment_source_color[] =
     "   highp vec3 R = reflect(-L, N); \n"
     "   highp vec4 diffuse = max(dot(N,L), 0.0) * light_diff * fColor; \n"
     "   highp vec4 specular = pow(max(dot(R,V), 0.0), spec_power) * light_spec; \n"
-    "   gl_FragColor = light_amb*fColor + diffuse  ; \n"
+    "   out_color = light_amb*fColor + diffuse  ; \n"
     "} \n"
     "\n"
   };
 
 const char vertex_source_p_l[] =
   {
-    "#version 120 \n"
-    "attribute highp vec4 vertex;\n"
-    "attribute highp vec3 color;\n"
+    "#version 150 \n"
+    "in highp vec4 vertex;\n"
+    "in highp vec3 color;\n"
     "uniform highp mat4 mvp_matrix;\n"
-    "varying highp vec4 fColor; \n"
+    "out highp vec4 fColor; \n"
     "uniform highp float point_size; \n"
     "void main(void)\n"
     "{\n"
@@ -127,10 +128,11 @@ const char vertex_source_p_l[] =
 
 const char fragment_source_p_l[] =
   {
-    "#version 120 \n"
-    "varying highp vec4 fColor; \n"
+    "#version 150 \n"
+    "in highp vec4 fColor; \n"
+    "out vec4 out_color; \n"
     "void main(void) { \n"
-    "gl_FragColor = fColor; \n"
+    "out_color = fColor; \n"
     "} \n"
     "\n"
   };

From 2a212bb2a83c635802ddf98a4183e497e3ff28e0 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 7 Jan 2021 13:06:40 +0100
Subject: [PATCH 146/317] Upgrade non-compatibility sahders in Basic_viewer to
 glsl 150 and add a context creation before the creation of the QApp in
 draw_xxx examples

---
 .../include/CGAL/Qt/Basic_viewer_qt.h         | 20 ++++++++++++++
 .../include/CGAL/draw_linear_cell_complex.h   |  2 +-
 Nef_3/include/CGAL/draw_nef_3.h               |  2 +-
 .../CGAL/draw_periodic_2_triangulation_2.h    |  2 +-
 Point_set_3/include/CGAL/draw_point_set_3.h   |  2 +-
 Polygon/include/CGAL/draw_polygon_2.h         |  2 +-
 .../include/CGAL/draw_polygon_with_holes_2.h  |  2 +-
 Polyhedron/include/CGAL/draw_polyhedron.h     |  2 +-
 Surface_mesh/include/CGAL/draw_surface_mesh.h |  2 +-
 .../include/CGAL/draw_face_graph_with_paths.h |  2 +-
 .../include/CGAL/draw_triangulation_2.h       | 27 +------------------
 .../include/CGAL/draw_triangulation_3.h       |  2 +-
 .../include/CGAL/draw_voronoi_diagram_2.h     |  2 +-
 13 files changed, 32 insertions(+), 37 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
index 7d93cb2aa34..932c4ab255d 100644
--- a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
+++ b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
@@ -54,7 +54,27 @@
 
 namespace CGAL
 {
+int& code_to_call_before_creation_of_QCoreApplication(int& i) {
+  QSurfaceFormat fmt;
+#ifdef Q_OS_MAC
+  fmt.setVersion(4, 1);
+#else
+  fmt.setVersion(4, 3);
+#endif
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
 
+  //for windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QCoreApplication::setAttribute(::Qt::AA_UseDesktopOpenGL);
+#endif
+
+  //We set the locale to avoid any trouble with VTK
+  setlocale(LC_ALL, "C");
+  return i;
+}
 //------------------------------------------------------------------------------
 const char vertex_source_color[] =
   {
diff --git a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
index 6f630b2c0b1..650d78b0893 100644
--- a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
+++ b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
@@ -406,7 +406,7 @@ void draw(const CGAL_LCC_TYPE& alcc,
   {
     int argc=1;
     const char* argv[2]={"lccviewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     SimpleLCCViewerQt<CGAL_LCC_TYPE, DrawingFunctorLCC>
       mainwindow(app.activeWindow(), &alcc, title, nofill, drawing_functor);
     mainwindow.show();
diff --git a/Nef_3/include/CGAL/draw_nef_3.h b/Nef_3/include/CGAL/draw_nef_3.h
index da8e01bacc8..f4babd5f6a6 100644
--- a/Nef_3/include/CGAL/draw_nef_3.h
+++ b/Nef_3/include/CGAL/draw_nef_3.h
@@ -255,7 +255,7 @@ void draw(const CGAL_NEF3_TYPE &anef,
   {
     int argc = 1;
     const char *argv[2] = {"nef_polyhedron_viewer", "\0"};
-    QApplication app(argc, const_cast<char **>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc), const_cast<char **>(argv));
     DefaultColorFunctorNefPolyhedron fcolor;
     SimpleNefPolyhedronViewerQt<CGAL_NEF3_TYPE,
                                 DefaultColorFunctorNefPolyhedron>
diff --git a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
index 909b38c0675..e81c6fca7c3 100644
--- a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
+++ b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
@@ -262,7 +262,7 @@ void draw(const CGAL_P2T2_TYPE& ap2t2,
   {
     int argc=1;
     const char* argv[2]={"p2t2_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     DefaultColorFunctorP2T2 fcolor;
     SimplePeriodic2Triangulation2ViewerQt<CGAL_P2T2_TYPE,
                                           DefaultColorFunctorP2T2>
diff --git a/Point_set_3/include/CGAL/draw_point_set_3.h b/Point_set_3/include/CGAL/draw_point_set_3.h
index de9548c6b1b..295229bf568 100644
--- a/Point_set_3/include/CGAL/draw_point_set_3.h
+++ b/Point_set_3/include/CGAL/draw_point_set_3.h
@@ -102,7 +102,7 @@ void draw(const Point_set_3<P, V>& apointset,
   {
     int argc=1;
     const char* argv[2]={"point_set_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     SimplePointSetViewerQt<Point_set_3<P, V> > mainwindow(app.activeWindow(),
                                                           apointset,
                                                           title);
diff --git a/Polygon/include/CGAL/draw_polygon_2.h b/Polygon/include/CGAL/draw_polygon_2.h
index 0f75db09b7c..bad34bdc6f3 100644
--- a/Polygon/include/CGAL/draw_polygon_2.h
+++ b/Polygon/include/CGAL/draw_polygon_2.h
@@ -124,7 +124,7 @@ void draw(const CGAL::Polygon_2<T, C>& ap2,
   {
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     SimplePolygon2ViewerQt<CGAL::Polygon_2<T, C> >
       mainwindow(app.activeWindow(), ap2, title);
     mainwindow.show();
diff --git a/Polygon/include/CGAL/draw_polygon_with_holes_2.h b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
index 35f98928c7e..6aab87b3094 100644
--- a/Polygon/include/CGAL/draw_polygon_with_holes_2.h
+++ b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
@@ -140,7 +140,7 @@ void draw(const CGAL::Polygon_with_holes_2<T, C>& ap2,
   {
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     SimplePolygonWithHoles2ViewerQt<CGAL::Polygon_with_holes_2<T, C> >
       mainwindow(app.activeWindow(), ap2, title);
     mainwindow.show();
diff --git a/Polyhedron/include/CGAL/draw_polyhedron.h b/Polyhedron/include/CGAL/draw_polyhedron.h
index 7e5983c81ac..6bce7a1fa82 100644
--- a/Polyhedron/include/CGAL/draw_polyhedron.h
+++ b/Polyhedron/include/CGAL/draw_polyhedron.h
@@ -210,7 +210,7 @@ void draw(const CGAL_POLY_TYPE& apoly,
   {
     int argc=1;
     const char* argv[2]={"polyhedron_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     DefaultColorFunctorPolyhedron fcolor;
     SimplePolyhedronViewerQt<CGAL_POLY_TYPE, DefaultColorFunctorPolyhedron>
       mainwindow(app.activeWindow(), apoly, title, nofill, fcolor);
diff --git a/Surface_mesh/include/CGAL/draw_surface_mesh.h b/Surface_mesh/include/CGAL/draw_surface_mesh.h
index efa6c2f480c..ec502ab9809 100644
--- a/Surface_mesh/include/CGAL/draw_surface_mesh.h
+++ b/Surface_mesh/include/CGAL/draw_surface_mesh.h
@@ -210,7 +210,7 @@ void draw(const Surface_mesh<K>& amesh,
   {
     int argc=1;
     const char* argv[2]={"surface_mesh_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     DefaultColorFunctorSM fcolor;
     SimpleSurfaceMeshViewerQt<Surface_mesh<K>, DefaultColorFunctorSM>
       mainwindow(app.activeWindow(), amesh, title, nofill, fcolor);
diff --git a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
index 96cad072369..a310e1ae616 100644
--- a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
+++ b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
@@ -411,7 +411,7 @@ void draw(const Mesh& alcc,
   {
     int argc=1;
     const char* argv[2]={"lccviewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     Face_graph_with_path_viewer<Mesh, DrawingFunctor> mainwindow(app.activeWindow(),
                                                                  alcc, &paths, amark,
                                                                  title, nofill,
diff --git a/Triangulation_2/include/CGAL/draw_triangulation_2.h b/Triangulation_2/include/CGAL/draw_triangulation_2.h
index 58e069282ba..94cd7e0529c 100644
--- a/Triangulation_2/include/CGAL/draw_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/draw_triangulation_2.h
@@ -22,31 +22,6 @@
 
 namespace CGAL
 {
-namespace internal_test{
-
-
-int& code_to_call_before_creation_of_QCoreApplication(int& i) {
-  QSurfaceFormat fmt;
-#ifdef Q_OS_MAC
-  fmt.setVersion(4, 1);
-#else
-  fmt.setVersion(4, 3);
-#endif
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QCoreApplication::setAttribute(::Qt::AA_UseDesktopOpenGL);
-#endif
-
-  //We set the locale to avoid any trouble with VTK
-  setlocale(LC_ALL, "C");
-  return i;
-}
-}
 
 // Default color functor; user can change it to have its own face color
 struct DefaultColorFunctorT2
@@ -171,7 +146,7 @@ void draw(const CGAL_T2_TYPE& at2,
   {
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
-    QApplication app(CGAL::internal_test::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     DefaultColorFunctorT2 fcolor;
     SimpleTriangulation2ViewerQt<CGAL_T2_TYPE, DefaultColorFunctorT2>
       mainwindow(app.activeWindow(), at2, title, nofill, fcolor);
diff --git a/Triangulation_3/include/CGAL/draw_triangulation_3.h b/Triangulation_3/include/CGAL/draw_triangulation_3.h
index 11d25a28f29..cdb666564df 100644
--- a/Triangulation_3/include/CGAL/draw_triangulation_3.h
+++ b/Triangulation_3/include/CGAL/draw_triangulation_3.h
@@ -152,7 +152,7 @@ void draw(const CGAL_T3_TYPE& at3,
   {
     int argc=1;
     const char* argv[2]={"t3_viewer","\0"};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
     DefaultColorFunctorT3 fcolor;
     SimpleTriangulation3ViewerQt<CGAL_T3_TYPE, DefaultColorFunctorT3>
       mainwindow(app.activeWindow(), at3, title, nofill, fcolor);
diff --git a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
index 5e32e12d3d4..11ab8f3acf4 100644
--- a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
+++ b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
@@ -318,7 +318,7 @@ void draw(const CGAL_VORONOI_TYPE &av2,
   if (!cgal_test_suite) {
     int argc = 1;
     const char *argv[2] = {"voronoi_2_viewer", "\0"};
-    QApplication app(argc, const_cast<char **>(argv));
+    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc), const_cast<char **>(argv));
     DefaultColorFunctorV2 fcolor;
     SimpleVoronoiDiagram2ViewerQt<CGAL_VORONOI_TYPE, DefaultColorFunctorV2>
         mainwindow(app.activeWindow(), av2, title, nofill,

From af94033a64c21dfe874c424209bd9b6ada00f79e Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 7 Jan 2021 16:39:03 +0100
Subject: [PATCH 147/317] arrangement on surface 2 unused variables warning
 fixed

---
 .../include/CGAL/Arr_circular_line_arc_traits_2.h             | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_circular_line_arc_traits_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_circular_line_arc_traits_2.h
index db91adb57cf..e913bc9f7db 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_circular_line_arc_traits_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_circular_line_arc_traits_2.h
@@ -159,11 +159,11 @@ namespace CGAL {
     { return CK_Equal_2()(a0, a1); }
 
     result_type
-    operator() ( const Line_arc_2 &a0, const Circular_arc_2 &a1) const
+    operator() ( const Line_arc_2 &/*a0*/, const Circular_arc_2 &/*a1*/) const
     { return false; }
 
     result_type
-    operator() ( const Circular_arc_2 &a0, const Line_arc_2 &a1) const
+    operator() ( const Circular_arc_2 &/*a0*/, const Line_arc_2 &/*a1*/) const
     { return false; }
 
       result_type

From 76d1fe8c7e5b785f3dde517e14865b7a2f268931 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 7 Jan 2021 16:45:08 +0100
Subject: [PATCH 148/317] classification range loop analysis ref to copy
 warning fixed

---
 Classification/include/CGAL/Classification/Evaluation.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Classification/include/CGAL/Classification/Evaluation.h b/Classification/include/CGAL/Classification/Evaluation.h
index eeff26f73d6..afdde15e216 100644
--- a/Classification/include/CGAL/Classification/Evaluation.h
+++ b/Classification/include/CGAL/Classification/Evaluation.h
@@ -123,7 +123,7 @@ public:
     CGAL_precondition (m_labels.is_valid_ground_truth (ground_truth));
     CGAL_precondition (m_labels.is_valid_ground_truth (result));
 
-    for (const auto& p : CGAL::make_range
+    for (const auto p : CGAL::make_range
            (boost::make_zip_iterator(boost::make_tuple(ground_truth.begin(), result.begin())),
             boost::make_zip_iterator(boost::make_tuple(ground_truth.end(), result.end()))))
     {

From a1f5fd4ab6862398981f078eff91ecbc09eb4aae Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 7 Jan 2021 16:49:58 +0100
Subject: [PATCH 149/317] halfedge ds range loop analysis copy to ref warning
 fixed

---
 .../test/HalfedgeDS/test_hds_range_based_loops.cpp   | 12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

diff --git a/HalfedgeDS/test/HalfedgeDS/test_hds_range_based_loops.cpp b/HalfedgeDS/test/HalfedgeDS/test_hds_range_based_loops.cpp
index 455367d6836..893d5e40b0e 100644
--- a/HalfedgeDS/test/HalfedgeDS/test_hds_range_based_loops.cpp
+++ b/HalfedgeDS/test/HalfedgeDS/test_hds_range_based_loops.cpp
@@ -47,7 +47,7 @@ void test_const_vertex_handles(
 
   auto lit = hds_list.vertices_begin();
   assert(hds_list.vertex_handles().size() == 1);
-  for (const auto vh : hds_list.vertex_handles()) {
+  for (const auto& vh : hds_list.vertex_handles()) {
     assert(vh == lit);
     assert(vh->point() == lit->point());
     assert(vh->halfedge() == lit->halfedge());
@@ -57,7 +57,7 @@ void test_const_vertex_handles(
 
   auto vit = hds_vector.vertices_begin();
   assert(hds_vector.vertex_handles().size() == 1);
-  for (const auto vh : hds_vector.vertex_handles()) {
+  for (const auto& vh : hds_vector.vertex_handles()) {
     assert(vh == vit);
     assert(vh->point() == vit->point());
     assert(vh->halfedge() == vit->halfedge());
@@ -97,7 +97,7 @@ void test_const_face_handles(
 
   auto lit = hds_list.faces_begin();
   assert(hds_list.face_handles().size() == 2);
-  for (const auto fh : hds_list.face_handles()) {
+  for (const auto& fh : hds_list.face_handles()) {
     assert(fh == lit);
     assert(fh->plane() == lit->plane());
     assert(fh->halfedge() == lit->halfedge());
@@ -107,7 +107,7 @@ void test_const_face_handles(
 
   auto vit = hds_vector.faces_begin();
   assert(hds_vector.face_handles().size() == 2);
-  for (const auto fh : hds_vector.face_handles()) {
+  for (const auto& fh : hds_vector.face_handles()) {
     assert(fh == vit);
     assert(fh->plane() == vit->plane());
     assert(fh->halfedge() == vit->halfedge());
@@ -147,7 +147,7 @@ void test_const_halfedge_handles(
 
   auto lit = hds_list.halfedges_begin();
   assert(hds_list.halfedge_handles().size() == 2);
-  for (const auto hh : hds_list.halfedge_handles()) {
+  for (const auto& hh : hds_list.halfedge_handles()) {
     assert(hh == lit);
     assert(hh->face() == lit->face());
     assert(hh->vertex() == lit->vertex());
@@ -157,7 +157,7 @@ void test_const_halfedge_handles(
 
   auto vit = hds_vector.halfedges_begin();
   assert(hds_vector.halfedge_handles().size() == 2);
-  for (const auto hh : hds_vector.halfedge_handles()) {
+  for (const auto& hh : hds_vector.halfedge_handles()) {
     assert(hh == vit);
     assert(hh->face() == vit->face());
     assert(hh->vertex() == vit->vertex());

From 331c98d65599f493193558afb79648b66f9aa44b Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 7 Jan 2021 16:56:39 +0100
Subject: [PATCH 150/317] optimal bounding box range loop analysis copy to ref
 warning fixed

---
 .../Optimal_bounding_box/obb_with_point_maps_example.cpp      | 4 ++--
 .../Optimal_bounding_box/test_optimization_algorithms.cpp     | 2 +-
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/Optimal_bounding_box/examples/Optimal_bounding_box/obb_with_point_maps_example.cpp b/Optimal_bounding_box/examples/Optimal_bounding_box/obb_with_point_maps_example.cpp
index 9129aef472d..d9588b8f644 100644
--- a/Optimal_bounding_box/examples/Optimal_bounding_box/obb_with_point_maps_example.cpp
+++ b/Optimal_bounding_box/examples/Optimal_bounding_box/obb_with_point_maps_example.cpp
@@ -34,7 +34,7 @@ int main(int argc, char** argv)
 
   // one can associate positions to the vertices of the mesh without changing the mesh
   std::unordered_map<vertex_descriptor, Point> translated_positions;
-  for(const vertex_descriptor v : vertices(sm))
+  for(const vertex_descriptor& v : vertices(sm))
     translated_positions[v] = sm.point(v) + Vector(1, 2, 3);
 
   CGAL::oriented_bounding_box(sm, obb_points,
@@ -42,7 +42,7 @@ int main(int argc, char** argv)
 
   // using a range of points
   std::vector<Point> points;
-  for(const vertex_descriptor v : vertices(sm))
+  for(const vertex_descriptor& v : vertices(sm))
     points.push_back(sm.point(v));
   CGAL::oriented_bounding_box(points, obb_points);
 
diff --git a/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp b/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp
index eee97967b5b..a7b330b09e6 100644
--- a/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp
+++ b/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp
@@ -91,7 +91,7 @@ void test_OBB_of_mesh(const std::string fname,
   }
 
   std::vector<Point> points;
-  for(const auto v : vertices(mesh))
+  for(const auto& v : vertices(mesh))
     points.push_back(v->point());
 
   test_OBB_data(points, expected_vol);

From a96ff6092de3c2c2c5e4e6a7293ba113bb3c03ae Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 7 Jan 2021 16:59:44 +0100
Subject: [PATCH 151/317] range loop analysis copy to ref warning fixed

---
 .../test/Point_set_processing_3/remove_outliers_test.cpp        | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Point_set_processing_3/test/Point_set_processing_3/remove_outliers_test.cpp b/Point_set_processing_3/test/Point_set_processing_3/remove_outliers_test.cpp
index a77494a9252..7497c89674f 100644
--- a/Point_set_processing_3/test/Point_set_processing_3/remove_outliers_test.cpp
+++ b/Point_set_processing_3/test/Point_set_processing_3/remove_outliers_test.cpp
@@ -140,7 +140,7 @@ int main(int argc, char * argv[])
     struct A{};
     std::vector< std::pair<Point, A> > points_bis;
     points_bis.reserve(points.size());
-    for (const Point p : points)
+    for (const Point& p : points)
       points_bis.push_back( std::make_pair(p, A()) );
     test_avg_knn_sq_distance(points_bis, nb_neighbors_remove_outliers, removed_percentage,
                              CGAL::First_of_pair_property_map<std::pair<Point,A>>());

From 357186df4025eb52a9ef84adbe256d21910e17f4 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 7 Jan 2021 17:02:30 +0100
Subject: [PATCH 152/317] polyhedron range loop analysis copy to ref warning
 fixed

---
 .../test/Polyhedron/test_polyhedron_range_based_loops.cpp   | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/Polyhedron/test/Polyhedron/test_polyhedron_range_based_loops.cpp b/Polyhedron/test/Polyhedron/test_polyhedron_range_based_loops.cpp
index da08b8d781f..ee04f5385e1 100644
--- a/Polyhedron/test/Polyhedron/test_polyhedron_range_based_loops.cpp
+++ b/Polyhedron/test/Polyhedron/test_polyhedron_range_based_loops.cpp
@@ -38,7 +38,7 @@ void test_const_vertex_handles_and_points(
 
   auto pit = polyhedron.points_begin();
   auto vit = polyhedron.vertices_begin();
-  for (const auto vh : polyhedron.vertex_handles()) {
+  for (const auto& vh : polyhedron.vertex_handles()) {
     assert(vh == vit);
     assert(vh->point() == vit->point());
     assert(vh->point() == *pit);
@@ -88,7 +88,7 @@ void test_const_facet_handles_and_planes(
 
   auto pit = polyhedron.planes_begin();
   auto fit = polyhedron.facets_begin();
-  for (const auto fh : polyhedron.facet_handles()) {
+  for (const auto& fh : polyhedron.facet_handles()) {
     assert(fh == fit);
     assert(fh->plane() == fit->plane());
     assert(fh->plane() == *pit);
@@ -133,7 +133,7 @@ void test_const_halfedge_handles_and_edges(
   const Polyhedron& polyhedron) {
 
   auto hit = polyhedron.halfedges_begin();
-  for (const auto hh : polyhedron.halfedge_handles()) {
+  for (const auto& hh : polyhedron.halfedge_handles()) {
     assert(hh == hit);
     assert(hh->facet() == hit->facet());
     assert(hh->vertex() == hit->vertex());

From 3fbb2693922010896ff50e310af0ef44185df626 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 7 Jan 2021 17:05:04 +0100
Subject: [PATCH 153/317] spatial searching range loop analysis ref to copy
 warning fixed

---
 .../examples/Spatial_searching/parallel_kdtree.cpp              | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Spatial_searching/examples/Spatial_searching/parallel_kdtree.cpp b/Spatial_searching/examples/Spatial_searching/parallel_kdtree.cpp
index a14612a5f22..12f474909f6 100644
--- a/Spatial_searching/examples/Spatial_searching/parallel_kdtree.cpp
+++ b/Spatial_searching/examples/Spatial_searching/parallel_kdtree.cpp
@@ -47,7 +47,7 @@ int main()
                          // neighbor search returns a set of pair of
                          // point and distance <Point_3,FT>, here we
                          // keep the points only
-                         for (const Point_with_distance& pwd : search)
+                         for (const Point_with_distance pwd : search)
                            neighbors[s].push_back (pwd.first);
                        }
                      });

From fbbff6794f6d3567231322ded5988d53b752274b Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 8 Jan 2021 10:15:12 +0100
Subject: [PATCH 154/317] surface mesh approximation range loop analysis copy
 to ref warning fixed

---
 .../vsa_isotropic_metric_example.cpp                        | 2 +-
 .../Surface_mesh_approximation/L21_metric_plane_proxy.h     | 2 +-
 .../CGAL/Surface_mesh_approximation/L2_metric_plane_proxy.h | 2 +-
 .../include/CGAL/Variational_shape_approximation.h          | 6 +++---
 .../test/Surface_mesh_approximation/vsa_metric_test.cpp     | 2 +-
 .../Surface_mesh_approximation/vsa_teleportation_test.cpp   | 4 ++--
 6 files changed, 9 insertions(+), 9 deletions(-)

diff --git a/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_isotropic_metric_example.cpp b/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_isotropic_metric_example.cpp
index d3e1dd71e8c..e8a066b59a8 100644
--- a/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_isotropic_metric_example.cpp
+++ b/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_isotropic_metric_example.cpp
@@ -46,7 +46,7 @@ struct Compact_metric_point_proxy
     // fitting center
     Vector_3 center = CGAL::NULL_VECTOR;
     FT sum_areas = FT(0.0);
-    for(const face_descriptor f : faces) {
+    for(const face_descriptor& f : faces) {
       center = center + (center_pmap[f] - CGAL::ORIGIN) * area_pmap[f];
       sum_areas += area_pmap[f];
     }
diff --git a/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L21_metric_plane_proxy.h b/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L21_metric_plane_proxy.h
index 75f324d7469..4a38a9783da 100644
--- a/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L21_metric_plane_proxy.h
+++ b/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L21_metric_plane_proxy.h
@@ -127,7 +127,7 @@ public:
 
     // fitting normal
     Vector_3 norm = CGAL::NULL_VECTOR;
-    for(const face_descriptor f : faces) {
+    for(const face_descriptor& f : faces) {
       norm = m_sum_functor(norm,
         m_scale_functor(get(m_fnmap, f), get(m_famap, f)));
     }
diff --git a/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L2_metric_plane_proxy.h b/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L2_metric_plane_proxy.h
index 9ced8858388..eee12468f63 100644
--- a/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L2_metric_plane_proxy.h
+++ b/Surface_mesh_approximation/include/CGAL/Surface_mesh_approximation/L2_metric_plane_proxy.h
@@ -125,7 +125,7 @@ public:
     CGAL_assertion(!faces.empty());
 
     std::list<Triangle_3> tris;
-    for(const face_descriptor f : faces) {
+    for(const face_descriptor& f : faces) {
       const halfedge_descriptor he = halfedge(f, *m_tm);
       const Point_3 &p0 = m_vpmap[source(he, *m_tm)];
       const Point_3 &p1 = m_vpmap[target(he, *m_tm)];
diff --git a/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h b/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h
index 59a85d361a5..53e6e4867f0 100644
--- a/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h
+++ b/Surface_mesh_approximation/include/CGAL/Variational_shape_approximation.h
@@ -1552,7 +1552,7 @@ private:
         std::cerr << "#chord_anchor " << m_bcycles.back().num_anchors << std::endl;
 #endif
 
-        for(const halfedge_descriptor he : chord)
+        for(const halfedge_descriptor& he : chord)
           he_candidates.erase(he);
       } while (he_start != he_mark);
     }
@@ -1600,7 +1600,7 @@ private:
         FT dist_max(0.0);
         chord_vec = scale_functor(chord_vec,
           FT(1.0) / CGAL::approximate_sqrt(chord_vec.squared_length()));
-        for(const halfedge_descriptor he : chord) {
+        for(const halfedge_descriptor& he : chord) {
           Vector_3 vec = vector_functor(pt_begin, m_vpoint_map[target(he, *m_ptm)]);
           vec = cross_product_functor(chord_vec, vec);
           const FT dist = CGAL::approximate_sqrt(vec.squared_length());
@@ -1612,7 +1612,7 @@ private:
       }
       else {
         FT dist_max(0.0);
-        for(const halfedge_descriptor he : chord) {
+        for(const halfedge_descriptor& he : chord) {
           const FT dist = CGAL::approximate_sqrt(CGAL::squared_distance(
             pt_begin, m_vpoint_map[target(he, *m_ptm)]));
           if (dist > dist_max) {
diff --git a/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_metric_test.cpp b/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_metric_test.cpp
index 4b8fe1e65d4..186048d8631 100644
--- a/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_metric_test.cpp
+++ b/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_metric_test.cpp
@@ -46,7 +46,7 @@ struct Compact_metric_point_proxy {
     // fitting center
     Vector_3 center = CGAL::NULL_VECTOR;
     FT sum_areas = FT(0.0);
-    for(const face_descriptor f : faces) {
+    for(const face_descriptor& f : faces) {
       center = center + (center_pmap[f] - CGAL::ORIGIN) * area_pmap[f];
       sum_areas += area_pmap[f];
     }
diff --git a/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_teleportation_test.cpp b/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_teleportation_test.cpp
index 4e7411f1921..f1d10a9a57c 100644
--- a/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_teleportation_test.cpp
+++ b/Surface_mesh_approximation/test/Surface_mesh_approximation/vsa_teleportation_test.cpp
@@ -104,7 +104,7 @@ int main()
 
 
   CGAL::Bbox_3 bbox;
-  for(const vertex_descriptor v : vertices(mesh))
+  for(const vertex_descriptor& v : vertices(mesh))
     bbox += vpmap[v].bbox();
   const FT ymin = bbox.ymin(), ymax = bbox.ymax(), yrange = ymax - ymin;
   std::cout << "Range along y axis: [" << ymin << ", " << ymax << "]" << std::endl;
@@ -113,7 +113,7 @@ int main()
   std::size_t planar_pxidx = static_cast<std::size_t>(-1);
   std::size_t num_planar_faces = 0;
   bool first = true;
-  for(const face_descriptor f : faces(mesh)) {
+  for(const face_descriptor& f : faces(mesh)) {
     const halfedge_descriptor he = halfedge(f, mesh);
     const Point_3 &p0 = vpmap[source(he, mesh)];
     const Point_3 &p1 = vpmap[target(he, mesh)];

From bd600286ee2c324caac3461b6305e71fb0d6e729 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 8 Jan 2021 10:20:34 +0100
Subject: [PATCH 155/317] surface mesh simplification range loop analysis copy
 to ref warning fixed

---
 .../Policies/Edge_collapse/internal/Lindstrom_Turk_core.h     | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Surface_mesh_simplification/include/CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/Lindstrom_Turk_core.h b/Surface_mesh_simplification/include/CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/Lindstrom_Turk_core.h
index 7b0ddb69c4f..fd02ec777fa 100644
--- a/Surface_mesh_simplification/include/CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/Lindstrom_Turk_core.h
+++ b/Surface_mesh_simplification/include/CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/Lindstrom_Turk_core.h
@@ -491,7 +491,7 @@ add_shape_optimization_constraints(const vertex_descriptor_vector& link)
            0.0, 0.0, s);
 
   Vector c = NULL_VECTOR;
-  for(const vertex_descriptor v : link)
+  for(const vertex_descriptor& v : link)
     c = c + (ORIGIN - get_point(v));
 
   CGAL_SMS_LT_TRACE(1,"  Adding shape optimization constraint. Shape vector: " << xyz_to_string(c));
@@ -540,7 +540,7 @@ compute_shape_cost(const Point& p,
                    const vertex_descriptor_vector& link)
 {
   FT rCost(0);
-  for(const vertex_descriptor v : link)
+  for(const vertex_descriptor& v : link)
     rCost += squared_distance(p, get_point(v));
 
   return rCost;

From 086299c56e174407783a1f81b928716432a4e1a8 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 8 Jan 2021 10:39:24 +0100
Subject: [PATCH 156/317] tetrahedral remeshing range loop analysis copy to ref
 and auto warnings fixed

---
 Mesh_3/include/CGAL/Mesh_3/tet_soup_to_c3t3.h  |  2 +-
 .../internal/collapse_short_edges.h            | 18 +++++++++---------
 .../internal/smooth_vertices.h                 |  4 ++--
 3 files changed, 12 insertions(+), 12 deletions(-)

diff --git a/Mesh_3/include/CGAL/Mesh_3/tet_soup_to_c3t3.h b/Mesh_3/include/CGAL/Mesh_3/tet_soup_to_c3t3.h
index 677d37124fa..5c2f6d69a08 100644
--- a/Mesh_3/include/CGAL/Mesh_3/tet_soup_to_c3t3.h
+++ b/Mesh_3/include/CGAL/Mesh_3/tet_soup_to_c3t3.h
@@ -301,7 +301,7 @@ bool build_infinite_cells(Tr& tr,
 #endif
 
   // add the facets to the incident cells map
-  for (const Cell_handle c : infinite_cells)
+  for (const Cell_handle& c : infinite_cells)
     if(!add_infinite_facets_to_incident_cells_map<Tr>(c, 0, incident_cells_map, verbose))
       return false;
 
diff --git a/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/collapse_short_edges.h b/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/collapse_short_edges.h
index 526d9dd7d82..4ce1fe25af0 100644
--- a/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/collapse_short_edges.h
+++ b/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/collapse_short_edges.h
@@ -219,7 +219,7 @@ public:
       Vertex_handle infinite_vertex = triangulation.infinite_vertex();
 
       bool v0_updated = false;
-      for (const Cell_handle ch : find_incident)
+      for (const Cell_handle& ch : find_incident)
       {
         if (invalid_cells.find(ch) == invalid_cells.end()) //valid cell
         {
@@ -445,7 +445,7 @@ bool is_valid_collapse(const typename C3t3::Edge& edge,
     c3t3.triangulation().finite_incident_cells(v0,
         std::back_inserter(cells_to_check));
 
-    for (const Cell_handle ch : cells_to_check)
+    for (const Cell_handle& ch : cells_to_check)
     {
       if (!ch->has_vertex(v1))
       {
@@ -478,7 +478,7 @@ bool is_valid_collapse(const typename C3t3::Edge& edge,
     c3t3.triangulation().finite_incident_cells(v1,
         std::back_inserter(cells_to_check));
 
-    for (const Cell_handle ch : cells_to_check)
+    for (const Cell_handle& ch : cells_to_check)
     {
       if (!ch->has_vertex(v0))
       {
@@ -792,7 +792,7 @@ collapse(const typename C3t3::Cell_handle ch,
   std::vector<Cell_handle> cells_to_remove;
   boost::unordered_set<Cell_handle> invalid_cells;
 
-  for(const Cell_handle c : inc_cells)
+  for(const Cell_handle& c : inc_cells)
   {
     const int v0_id = c->index(vh0);
     const int v1_id = c->index(vh1);
@@ -838,7 +838,7 @@ collapse(const typename C3t3::Cell_handle ch,
   const Vertex_handle infinite_vertex = tr.infinite_vertex();
 
   bool v0_updated = false;
-  for (const Cell_handle c : find_incident)
+  for (const Cell_handle& c : find_incident)
   {
     if (invalid_cells.find(c) == invalid_cells.end())//valid cell
     {
@@ -856,7 +856,7 @@ collapse(const typename C3t3::Cell_handle ch,
     = { { {{0,1}}, {{0,2}}, {{0,3}}, {{1,2}}, {{1,3}}, {{2,3}} } }; //vertex indices in cells
   const Vertex_handle vkept = vh0;
   const Vertex_handle vdeleted = vh1;
-  for (const Cell_handle c : cells_to_update)
+  for (const Cell_handle& c : cells_to_update)
   {
     for (const std::array<int, 2>& ei : edges)
     {
@@ -886,7 +886,7 @@ collapse(const typename C3t3::Cell_handle ch,
   // update complex facets
 
   //Update the vertex before removing it
-  for (const Cell_handle c : cells_to_update)
+  for (const Cell_handle& c : cells_to_update)
   {
     if (invalid_cells.find(c) == invalid_cells.end()) //valid cell
     {
@@ -1005,7 +1005,7 @@ bool is_cells_set_manifold(const C3t3&,
   }
 
   boost::unordered_map<EV, int> edges;
-  for (const std::pair<FV, int>& fvv : facets)
+  for (const auto& fvv : facets)
   {
     if (fvv.second != 1)
       continue;
@@ -1021,7 +1021,7 @@ bool is_cells_set_manifold(const C3t3&,
     }
   }
 
-  for (const std::pair<EV, int>& evv : edges)
+  for (const auto& evv : edges)
     if (evv.second != 2)
       return false;
 
diff --git a/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/smooth_vertices.h b/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/smooth_vertices.h
index d22d6fdf65c..7c784af9820 100644
--- a/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/smooth_vertices.h
+++ b/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/smooth_vertices.h
@@ -162,7 +162,7 @@ private:
       }
     }
 
-    for (const std::pair<Facet, Vector_3>& fn : fnormals)
+    for (const auto& fn : fnormals)
     {
       if(fn.second != CGAL::NULL_VECTOR)
         continue;
@@ -347,7 +347,7 @@ private:
       v->set_point(typename Tr::Point(pv + frac * move));
 
       bool valid_try = true;
-      for (const typename Tr::Cell_handle ci : inc_cells)
+      for (const typename Tr::Cell_handle& ci : inc_cells)
       {
         if (CGAL::POSITIVE != CGAL::orientation(point(ci->vertex(0)->point()),
                                                 point(ci->vertex(1)->point()),

From 17e83d573d6a4e3f58267c14ab8c81b5bf7be6ea Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 8 Jan 2021 11:40:09 +0100
Subject: [PATCH 157/317] Fix demos

---
 AABB_tree/demo/AABB_tree/AABB_demo.cpp        | 18 ++++--
 AABB_tree/demo/AABB_tree/Scene.cpp            | 34 ++++++-----
 AABB_tree/demo/AABB_tree/Scene.h              |  2 +-
 .../demo/Alpha_shapes_3/Alpha_shape_3.cpp     | 22 +++++--
 Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.cpp | 28 ++++-----
 .../Circular_kernel_3/Circular_kernel_3.cpp   | 18 ++++--
 .../demo/Circular_kernel_3/Viewer.cpp         | 30 +++++-----
 .../Linear_cell_complex_3_demo.cpp            |  8 +--
 .../Linear_cell_complex/basic_viewer.h        | 57 ++++++++++---------
 .../periodic_3_triangulation_3_demo.cpp       |  6 ++
 .../Periodic_Lloyd_3/Periodic_Lloyd_3.cpp     | 15 +++--
 .../Principal_component_analysis/PCA_demo.cpp | 10 ++++
 .../demo/Triangulation_3/T3_demo.cpp          | 14 +++--
 13 files changed, 163 insertions(+), 99 deletions(-)

diff --git a/AABB_tree/demo/AABB_tree/AABB_demo.cpp b/AABB_tree/demo/AABB_tree/AABB_demo.cpp
index c69f7aa1281..061036cd9cd 100644
--- a/AABB_tree/demo/AABB_tree/AABB_demo.cpp
+++ b/AABB_tree/demo/AABB_tree/AABB_demo.cpp
@@ -23,14 +23,24 @@
 
 int main(int argc, char **argv)
 {
+  QSurfaceFormat fmt;
+#ifdef Q_OS_MAC
+  fmt.setVersion(4, 1);
+#else
+  fmt.setVersion(4, 3);
+#endif
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
+  //for windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
+#endif
   QApplication app(argc, argv);
   app.setOrganizationDomain("inria.fr");
   app.setOrganizationName("INRIA");
   app.setApplicationName("AABB tree demo");
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  app.setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
 
   // Import resources from libCGALQt (Qt5).
   CGAL_QT_INIT_RESOURCES;
diff --git a/AABB_tree/demo/AABB_tree/Scene.cpp b/AABB_tree/demo/AABB_tree/Scene.cpp
index 69ba683a21b..a48a517423a 100644
--- a/AABB_tree/demo/AABB_tree/Scene.cpp
+++ b/AABB_tree/demo/AABB_tree/Scene.cpp
@@ -91,8 +91,8 @@ void Scene::compile_shaders()
     //Vertex source code
     const char vertex_source[] =
     {
-        "#version 120 \n"
-        "attribute highp vec4 vertex;\n"
+        "#version 150 \n"
+        "in highp vec4 vertex;\n"
         "uniform highp mat4 mvp_matrix;\n"
         "uniform highp mat4 f_matrix;\n"
         "void main(void)\n"
@@ -103,10 +103,11 @@ void Scene::compile_shaders()
     //Vertex source code
     const char fragment_source[] =
     {
-        "#version 120 \n"
+        "#version 150 \n"
         "uniform highp vec4 color; \n"
+        "out highp vec4 out_color; \n"
         "void main(void) { \n"
-        "gl_FragColor = color; \n"
+        "out_color = color; \n"
         "} \n"
         "\n"
     };
@@ -139,26 +140,27 @@ void Scene::compile_shaders()
     //Vertex source code
     const char tex_vertex_source[] =
     {
-        "#version 120 \n"
-        "attribute highp vec4 vertex;\n"
-        "attribute highp vec2 tex_coord; \n"
+        "#version 150 \n"
+        "in highp vec4 vertex;\n"
+        "in highp vec2 tex_coord; \n"
         "uniform highp mat4 mvp_matrix;\n"
         "uniform highp mat4 f_matrix;\n"
-        "varying highp vec2 texc;\n"
+        "out highp vec2 texc;\n"
         "void main(void)\n"
         "{\n"
         "   gl_Position = mvp_matrix * f_matrix * vertex;\n"
-        "    texc = tex_coord;\n"
+        "   texc = tex_coord;\n"
         "}"
     };
     //Vertex source code
     const char tex_fragment_source[] =
     {
-        "#version 120 \n"
+        "#version 150 \n"
         "uniform sampler2D texture;\n"
-        "varying highp vec2 texc;\n"
+        "in highp vec2 texc;\n"
+        "out highp vec4 out_color; \n"
         "void main(void) { \n"
-        "gl_FragColor = texture2D(texture, texc.st);\n"
+        "out_color = texture2D(texture, texc.st);\n"
         "} \n"
         "\n"
     };
@@ -1319,12 +1321,8 @@ void Scene::deactivate_cutting_plane()
 }
 void Scene::initGL()
 {
-    gl = new QOpenGLFunctions_2_1();
-   if(!gl->initializeOpenGLFunctions())
-    {
-        qFatal("ERROR : OpenGL Functions not initialized. Check your OpenGL Verison (should be >=3.3)");
-        exit(1);
-    }
+    gl = new QOpenGLFunctions();
+    gl->initializeOpenGLFunctions();
 
     gl->glGenTextures(1, &textureId);
     compile_shaders();
diff --git a/AABB_tree/demo/AABB_tree/Scene.h b/AABB_tree/demo/AABB_tree/Scene.h
index 95ea74cdc33..44d7b8239ce 100644
--- a/AABB_tree/demo/AABB_tree/Scene.h
+++ b/AABB_tree/demo/AABB_tree/Scene.h
@@ -86,7 +86,7 @@ public:
 
 private:
     // member data
-    QOpenGLFunctions_2_1 *gl;
+    QOpenGLFunctions *gl;
     Bbox m_bbox;
     Polyhedron *m_pPolyhedron;
     std::list<Point> m_points;
diff --git a/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp b/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
index dbe053e9824..a83e4ae1683 100644
--- a/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
+++ b/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
@@ -8,15 +8,27 @@
 
 int main(int argc, char** argv)
 {
- QApplication application(argc,argv);
+  QSurfaceFormat fmt;
+#ifdef Q_OS_MAC
+  fmt.setVersion(4, 1);
+#else
+  fmt.setVersion(4, 3);
+#endif
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
+
+  //for Windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
+#endif
+
+  QApplication application(argc,argv);
 
   application.setOrganizationDomain("geometryfactory.com");
   application.setOrganizationName("GeometryFactory");
   application.setApplicationName("Alpha Shape Reconstruction");
-  //for Windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  application.setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
 
   // Import resources from libCGALQt (Qt5).
   // See https://doc.qt.io/qt-5/qdir.html#Q_INIT_RESOURCE
diff --git a/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.cpp b/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.cpp
index a30e7a9a133..ad0e388412c 100644
--- a/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.cpp
+++ b/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.cpp
@@ -29,14 +29,14 @@ void Viewer::compile_shaders()
     //Vertex source code
     const char vertex_source[] =
     {
-         "#version 120 \n"
-        "attribute highp vec4 vertex;\n"
-        "attribute highp vec3 normal;\n"
+         "#version 150 \n"
+        "in highp vec4 vertex;\n"
+        "in highp vec3 normal;\n"
 
         "uniform highp mat4 mvp_matrix;\n"
         "uniform highp mat4 mv_matrix; \n"
-        "varying highp vec4 fP; \n"
-        "varying highp vec3 fN; \n"
+        "out highp vec4 fP; \n"
+        "out highp vec3 fN; \n"
         "void main(void)\n"
         "{\n"
         "   fP = mv_matrix * vertex; \n"
@@ -47,15 +47,16 @@ void Viewer::compile_shaders()
     //Fragment source code
     const char fragment_source[] =
     {
-        "#version 120 \n"
-        "varying highp vec4 fP; \n"
-        "varying highp vec3 fN; \n"
+        "#version 150 \n"
+        "in highp vec4 fP; \n"
+        "in highp vec3 fN; \n"
         "uniform highp vec4 color; \n"
         "uniform highp vec4 light_pos;  \n"
         "uniform highp vec4 light_diff; \n"
         "uniform highp vec4 light_spec; \n"
         "uniform highp vec4 light_amb;  \n"
         "uniform float spec_power ; \n"
+        "out highp vec4 out_color; \n"
 
         "void main(void) { \n"
 
@@ -70,7 +71,7 @@ void Viewer::compile_shaders()
         "   highp vec4 diffuse = abs(dot(N,L)) * light_diff * color; \n"
         "   highp vec4 specular = pow(max(dot(R,V), 0.0), spec_power) * light_spec; \n"
 
-        "gl_FragColor = light_amb*color + diffuse + specular ; \n"
+        "out_color = light_amb*color + diffuse + specular ; \n"
         "} \n"
         "\n"
     };
@@ -105,8 +106,8 @@ rendering_program.bind();
 //Vertex source code
 const char vertex_source_points[] =
 {
-    "#version 120 \n"
-    "attribute highp vec4 vertex;\n"
+    "#version 150 \n"
+    "in highp vec4 vertex;\n"
 
     "uniform highp mat4 mvp_matrix;\n"
     "uniform highp float point_size;\n"
@@ -119,11 +120,12 @@ const char vertex_source_points[] =
 //Vertex source code
 const char fragment_source_points[] =
 {
-    "#version 120 \n"
+    "#version 150 \n"
     "uniform highp vec4 color; \n"
+    "out highp vec4 out_color; \n"
 
     "void main(void) { \n"
-    "gl_FragColor = color; \n"
+    "out_color = color; \n"
     "} \n"
     "\n"
 };
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp b/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
index 513722fec61..72c7a0a4c09 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
+++ b/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
@@ -3,15 +3,25 @@
 
 int main(int argc, char** argv)
 {
+  QSurfaceFormat fmt;
+#ifdef Q_OS_MAC
+  fmt.setVersion(4, 1);
+#else
+  fmt.setVersion(4, 3);
+#endif
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
   // Read command lines arguments.
+  //for Windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
+#endif
   QApplication application(argc,argv);
 
   // Instantiate the viewer.
   Viewer viewer;
-  //for Windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  application.setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
   viewer.setWindowTitle("Intersection points of randomly generated circles.");
 
   // Make the viewer window visible on screen.
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
index c026e1cce0b..69901dbbd1c 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
+++ b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
@@ -32,16 +32,16 @@ void Viewer::compile_shaders()
     //Vertex source code
     const char vertex_source[] =
     {
-        "#version 120 \n"
-        "attribute highp vec4 vertex;\n"
-        "attribute highp vec3 normal;\n"
-        "attribute highp vec4 center;\n"
+        "#version 150 \n"
+        "in highp vec4 vertex;\n"
+        "in highp vec3 normal;\n"
+        "in highp vec4 center;\n"
 
         "uniform highp mat4 mvp_matrix;\n"
         "uniform highp mat4 mv_matrix; \n"
 
-        "varying highp vec4 fP; \n"
-        "varying highp vec3 fN; \n"
+        "out highp vec4 fP; \n"
+        "out highp vec3 fN; \n"
         "void main(void)\n"
         "{\n"
         "   fP = mv_matrix * vertex; \n"
@@ -52,15 +52,16 @@ void Viewer::compile_shaders()
     //Vertex source code
     const char fragment_source[] =
     {
-        "#version 120 \n"
-        "varying highp vec4 fP; \n"
-        "varying highp vec3 fN; \n"
+        "#version 150 \n"
+        "in highp vec4 fP; \n"
+        "in highp vec3 fN; \n"
         "uniform highp vec4 color; \n"
         "uniform highp vec4 light_pos;  \n"
         "uniform highp vec4 light_diff; \n"
         "uniform highp vec4 light_spec; \n"
         "uniform highp vec4 light_amb;  \n"
         "uniform float spec_power ; \n"
+        "out highp vec4 out_color; \n"
 
         "void main(void) { \n"
 
@@ -75,7 +76,7 @@ void Viewer::compile_shaders()
         "   highp vec4 diffuse = max(dot(N,L), 0.0) * light_diff * color; \n"
         "   highp vec4 specular = pow(max(dot(R,V), 0.0), spec_power) * light_spec; \n"
 
-        "gl_FragColor = light_amb*color + diffuse  ; \n"
+        "out_color = light_amb*color + diffuse  ; \n"
         "} \n"
         "\n"
     };
@@ -111,8 +112,8 @@ void Viewer::compile_shaders()
              //Vertex source code
              const char vertex_source_no_ext[] =
              {
-                 "#version 120 \n"
-                 "attribute highp vec4 vertex;\n"
+                 "#version 150 \n"
+                 "in highp vec4 vertex;\n"
                  "uniform highp mat4 mvp_matrix;\n"
                  "void main(void)\n"
                  "{\n"
@@ -123,10 +124,11 @@ void Viewer::compile_shaders()
              //Vertex source code
              const char fragment_source_no_ext[] =
              {
-                 "#version 120 \n"
+                 "#version 150 \n"
                  "uniform highp vec4 color; \n"
+                 "out highp vec4 out_color; \n"
                  "void main(void) { \n"
-                 "gl_FragColor = color; \n"
+                 "out_color = color; \n"
                  "} \n"
                  "\n"
              };
diff --git a/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp b/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
index 42713752435..1672adad3f8 100644
--- a/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
+++ b/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
@@ -23,15 +23,15 @@ int main(int argc, char** argv)
   // std::cout<<"Size of dart: "<<sizeof(LCC::Dart)<<std::endl;
   CGAL::set_error_behaviour(CGAL::ABORT);
 
+  //for windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
+#endif
   QApplication application(argc,argv);
 
   application.setOrganizationDomain("cgal.org");
   application.setOrganizationName("CNRS and LIRIS' Establishments");
   application.setApplicationName("3D Linear Cell Complex");
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  application.setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
 
   // Import resources from libCGALQt5
   // See https://doc.qt.io/qt-5/qdir.html#Q_INIT_RESOURCE
diff --git a/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h b/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
index db5a49f847f..b6b89a1b416 100644
--- a/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
+++ b/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
@@ -17,7 +17,7 @@
 
 #include <CGAL/Qt/qglviewer.h>
 #include <QKeyEvent>
-#include <QOpenGLFunctions_2_1>
+#include <QOpenGLFunctions>
 #include <QOpenGLVertexArrayObject>
 #include <QGLBuffer>
 #include <QOpenGLShaderProgram>
@@ -43,15 +43,15 @@ typedef Local_kernel::Vector_3 Local_vector;
 //Vertex source code
 const char vertex_source_mono[] =
   {
-    "#version 120 \n"
-    "attribute highp vec4 vertex;\n"
-    "attribute highp vec3 normal;\n"
+    "#version 150 \n"
+    "in highp vec4 vertex;\n"
+    "in highp vec3 normal;\n"
 
     "uniform highp mat4 mvp_matrix;\n"
     "uniform highp mat4 mv_matrix; \n"
 
-    "varying highp vec4 fP; \n"
-    "varying highp vec3 fN; \n"
+    "out highp vec4 fP; \n"
+    "out highp vec3 fN; \n"
     "void main(void)\n"
     "{\n"
     "   fP = mv_matrix * vertex; \n"
@@ -62,17 +62,17 @@ const char vertex_source_mono[] =
 
 const char vertex_source_color[] =
   {
-    "#version 120 \n"
-    "attribute highp vec4 vertex;\n"
-    "attribute highp vec3 normal;\n"
-    "attribute highp vec3 color;\n"
+    "#version 150 \n"
+    "in highp vec4 vertex;\n"
+    "in highp vec3 normal;\n"
+    "in highp vec3 color;\n"
 
     "uniform highp mat4 mvp_matrix;\n"
     "uniform highp mat4 mv_matrix; \n"
 
-    "varying highp vec4 fP; \n"
-    "varying highp vec3 fN; \n"
-    "varying highp vec4 fColor; \n"
+    "out highp vec4 fP; \n"
+    "out highp vec3 fN; \n"
+    "out highp vec4 fColor; \n"
     "void main(void)\n"
     "{\n"
     "   fP = mv_matrix * vertex; \n"
@@ -85,15 +85,16 @@ const char vertex_source_color[] =
 //Vertex source code
 const char fragment_source_mono[] =
   {
-    "#version 120 \n"
-    "varying highp vec4 fP; \n"
-    "varying highp vec3 fN; \n"
+    "#version 150 \n"
+    "in highp vec4 fP; \n"
+    "in highp vec3 fN; \n"
     "uniform highp vec4 color; \n"
     "uniform highp vec4 light_pos;  \n"
     "uniform highp vec4 light_diff; \n"
     "uniform highp vec4 light_spec; \n"
     "uniform highp vec4 light_amb;  \n"
     "uniform float spec_power ; \n"
+    "out highp vec4 out_color; \n"
 
     "void main(void) { \n"
 
@@ -108,22 +109,23 @@ const char fragment_source_mono[] =
     "   highp vec4 diffuse = max(dot(N,L), 0.0) * light_diff * color; \n"
     "   highp vec4 specular = pow(max(dot(R,V), 0.0), spec_power) * light_spec; \n"
 
-    "gl_FragColor = light_amb*color + diffuse  ; \n"
+    "out_color = light_amb*color + diffuse  ; \n"
     "} \n"
     "\n"
   };
 
 const char fragment_source_color[] =
   {
-    "#version 120 \n"
-    "varying highp vec4 fP; \n"
-    "varying highp vec3 fN; \n"
-    "varying highp vec4 fColor; \n"
+    "#version 150 \n"
+    "in highp vec4 fP; \n"
+    "in highp vec3 fN; \n"
+    "in highp vec4 fColor; \n"
     "uniform highp vec4 light_pos;  \n"
     "uniform highp vec4 light_diff; \n"
     "uniform highp vec4 light_spec; \n"
     "uniform highp vec4 light_amb;  \n"
     "uniform float spec_power ; \n"
+    "out highp vec4 out_color; \n"
 
     "void main(void) { \n"
 
@@ -138,7 +140,7 @@ const char fragment_source_color[] =
     "   highp vec4 diffuse = max(dot(N,L), 0.0) * light_diff * fColor; \n"
     "   highp vec4 specular = pow(max(dot(R,V), 0.0), spec_power) * light_spec; \n"
 
-    "gl_FragColor = light_amb*fColor + diffuse  ; \n"
+    "out_color = light_amb*fColor + diffuse  ; \n"
     "} \n"
     "\n"
   };
@@ -146,8 +148,8 @@ const char fragment_source_color[] =
 //Vertex source code
 const char vertex_source_p_l[] =
   {
-    "#version 120 \n"
-    "attribute highp vec4 vertex;\n"
+    "#version 150 \n"
+    "in highp vec4 vertex;\n"
     "uniform highp mat4 mvp_matrix;\n"
     "void main(void)\n"
     "{\n"
@@ -157,10 +159,11 @@ const char vertex_source_p_l[] =
 //Vertex source code
 const char fragment_source_p_l[] =
   {
-    "#version 120 \n"
+    "#version 150 \n"
     "uniform highp vec4 color; \n"
+    "out highp vec4 out_color; \n"
     "void main(void) { \n"
-    "gl_FragColor = color; \n"
+    "out_color = color; \n"
     "} \n"
     "\n"
   };
@@ -194,7 +197,7 @@ typename K::Vector_3 compute_normal_of_face(const std::vector<typename K::Point_
   return (typename K::Construct_scaled_vector_3()(normal, 1.0/nb));
 }
 
-class Basic_viewer : public CGAL::QGLViewer, public QOpenGLFunctions_2_1
+class Basic_viewer : public CGAL::QGLViewer, public QOpenGLFunctions
 {
   struct Vertex_info
   {
diff --git a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
index c93f4155487..14e004ca71b 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
+++ b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
@@ -4,6 +4,12 @@
 
 int main(int argc, char *argv[])
 {
+  QSurfaceFormat fmt;
+  fmt.setVersion(2, 1);
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
   QApplication a(argc, argv);
   MainWindow w;
   //w.ui->setupUi(w);
diff --git a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
index 75f1f8ee396..6e0435f4b4e 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
+++ b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
@@ -4,15 +4,20 @@
 
 int main(int argc, char** argv)
 {
+  QSurfaceFormat fmt;
+  fmt.setVersion(2, 1);
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
+  //for windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
+#endif
   QApplication application(argc,argv);
-
   application.setOrganizationDomain("inria.fr");
   application.setOrganizationName("INRIA");
   application.setApplicationName("3D Periodic Lloyd");
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  application.setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
 
   // Import resources from libCGAL (QT5).
   // See https://doc.qt.io/qt-5/qdir.html#Q_INIT_RESOURCE
diff --git a/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp b/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
index f1b7a78b624..63581649155 100644
--- a/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
+++ b/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
@@ -21,6 +21,16 @@
 
 int main(int argc, char **argv)
 {
+  QSurfaceFormat fmt;
+  fmt.setVersion(2, 1);
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
+#endif
+
   QApplication app(argc, argv);
   app.setOrganizationDomain("inria.fr");
   app.setOrganizationName("INRIA");
diff --git a/Triangulation_3/demo/Triangulation_3/T3_demo.cpp b/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
index 7b70c57dd07..4d3be25b5ac 100644
--- a/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
+++ b/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
@@ -16,15 +16,21 @@
 
 int main(int argc, char** argv)
 {
+  QSurfaceFormat fmt;
+  fmt.setVersion(2, 1);
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
+  //for windows
+  #if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
+  #endif
   QApplication app(argc, argv);
 
   app.setOrganizationDomain("inria.fr");
   app.setOrganizationName("INRIA");
   app.setApplicationName("3D Triangulation Demo");
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  app.setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
 
   MainWindow mw;
   mw.show();

From 78f1b28e41da7dd11cbb964fd767850e49c5d031 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 8 Jan 2021 12:46:39 +0100
Subject: [PATCH 158/317] Fix message about context  not made current

---
 GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h | 1 +
 1 file changed, 1 insertion(+)

diff --git a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
index 932c4ab255d..d004749aec5 100644
--- a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
+++ b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
@@ -358,6 +358,7 @@ public:
 
   ~Basic_viewer_qt()
   {
+    makeCurrent();
     for (unsigned int i=0; i<NB_VBO_BUFFERS; ++i)
       buffers[i].destroy();
 

From b796e6d786e3efed65bb44f5b8d11fc6d971e15a Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Fri, 8 Jan 2021 14:52:28 +0100
Subject: [PATCH 159/317] fix invalid replacement

spotted by @maxGimeno
---
 Generator/include/CGAL/random_convex_set_2.h | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/Generator/include/CGAL/random_convex_set_2.h b/Generator/include/CGAL/random_convex_set_2.h
index 56313839e55..f8189fcea1c 100644
--- a/Generator/include/CGAL/random_convex_set_2.h
+++ b/Generator/include/CGAL/random_convex_set_2.h
@@ -101,7 +101,9 @@ random_convex_set_2( std::size_t n,
     points.begin(),
     points.end(),
     points.begin(),
-    [&centroid, &sum, &scale](const Point_2& p) { return sum(p, scale(centroid, FT( -1))); });
+    [&centroid, &new_centroid, &sum, &scale](const Point_2& p)
+    {return sum(p, sum( centroid, scale(new_centroid, FT( -1)))); }
+  );
 
   // compute maximal coordinate:
   FT maxcoord( max_coordinate(

From 3ec3ffc518a0da24e9a0f58470dc63be1b0c1c43 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 12 Jan 2021 11:05:10 +0100
Subject: [PATCH 160/317] WIP

---
 .../include/CGAL/Qt/Basic_viewer_qt.h         | 21 ----------
 .../include/CGAL/Qt/Context_initialization.h  | 41 +++++++++++++++++++
 2 files changed, 41 insertions(+), 21 deletions(-)
 create mode 100644 GraphicsView/include/CGAL/Qt/Context_initialization.h

diff --git a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
index d004749aec5..be3b583a0c0 100644
--- a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
+++ b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
@@ -54,27 +54,6 @@
 
 namespace CGAL
 {
-int& code_to_call_before_creation_of_QCoreApplication(int& i) {
-  QSurfaceFormat fmt;
-#ifdef Q_OS_MAC
-  fmt.setVersion(4, 1);
-#else
-  fmt.setVersion(4, 3);
-#endif
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QCoreApplication::setAttribute(::Qt::AA_UseDesktopOpenGL);
-#endif
-
-  //We set the locale to avoid any trouble with VTK
-  setlocale(LC_ALL, "C");
-  return i;
-}
 //------------------------------------------------------------------------------
 const char vertex_source_color[] =
   {
diff --git a/GraphicsView/include/CGAL/Qt/Context_initialization.h b/GraphicsView/include/CGAL/Qt/Context_initialization.h
new file mode 100644
index 00000000000..2c29b4eb6a8
--- /dev/null
+++ b/GraphicsView/include/CGAL/Qt/Context_initialization.h
@@ -0,0 +1,41 @@
+// Copyright (c) 2021  GeometryFactory Sarl (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
+//
+//
+// Author(s)     : Maxime Gimeno
+
+#ifndef CGAL_QT_CONTEXT_INITIALIZATION_H
+#define CGAL_QT_CONTEXT_INITIALIZATION_H
+namespace CGAL
+{
+void init_ogl_context(int major, int minor) {
+  QSurfaceFormat fmt;
+#ifdef Q_OS_MAC
+  fmt.setVersion(4, 1);
+#else
+  fmt.setVersion(4, 3);
+#endif
+  fmt.setRenderableType(QSurfaceFormat::OpenGL);
+  fmt.setProfile(QSurfaceFormat::CoreProfile);
+  fmt.setOption(QSurfaceFormat::DebugContext);
+  QSurfaceFormat::setDefaultFormat(fmt);
+
+  //for windows
+#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
+  QCoreApplication::setAttribute(::Qt::AA_UseDesktopOpenGL);
+#endif
+
+  //We set the locale to avoid any trouble with VTK
+  setlocale(LC_ALL, "C");
+  return i;
+}
+
+}
+
+#endif // CGAL_QT_CONTEXT_INITIALIZATION_H

From 95192d6d4b7637bdd9c0347b1b4a8acac424f834 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 12 Jan 2021 12:43:53 +0100
Subject: [PATCH 161/317] factorize context initialization

---
 AABB_tree/demo/AABB_tree/AABB_demo.cpp        | 18 +++---------------
 .../demo/Alpha_shapes_3/Alpha_shape_3.cpp     | 18 ++----------------
 .../Circular_kernel_3/Circular_kernel_3.cpp   | 19 ++-----------------
 .../include/CGAL/Qt/Context_initialization.h  | 15 +++++++++++----
 .../Linear_cell_complex_3_demo.cpp            |  6 ++----
 .../include/CGAL/draw_linear_cell_complex.h   |  4 +++-
 Nef_3/include/CGAL/draw_nef_3.h               |  4 +++-
 .../CGAL/draw_periodic_2_triangulation_2.h    |  4 +++-
 .../periodic_3_triangulation_3_demo.cpp       |  8 ++------
 .../Periodic_Lloyd_3/Periodic_Lloyd_3.cpp     | 14 ++++----------
 Point_set_3/include/CGAL/draw_point_set_3.h   |  4 +++-
 Polygon/include/CGAL/draw_polygon_2.h         |  4 +++-
 .../include/CGAL/draw_polygon_with_holes_2.h  |  4 +++-
 Polyhedron/include/CGAL/draw_polyhedron.h     |  4 +++-
 .../Principal_component_analysis/PCA_demo.cpp | 11 ++---------
 Surface_mesh/include/CGAL/draw_surface_mesh.h |  4 +++-
 .../include/CGAL/draw_face_graph_with_paths.h |  4 +++-
 .../include/CGAL/draw_triangulation_2.h       |  4 +++-
 .../demo/Triangulation_3/T3_demo.cpp          | 13 +++----------
 .../include/CGAL/draw_triangulation_3.h       |  4 +++-
 .../include/CGAL/draw_voronoi_diagram_2.h     |  4 +++-
 21 files changed, 67 insertions(+), 103 deletions(-)

diff --git a/AABB_tree/demo/AABB_tree/AABB_demo.cpp b/AABB_tree/demo/AABB_tree/AABB_demo.cpp
index 061036cd9cd..4e643e352f3 100644
--- a/AABB_tree/demo/AABB_tree/AABB_demo.cpp
+++ b/AABB_tree/demo/AABB_tree/AABB_demo.cpp
@@ -19,24 +19,12 @@
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
 #include <QMimeData>
-
+#include <CGAL/Qt/Context_initialization.h>
 
 int main(int argc, char **argv)
 {
-  QSurfaceFormat fmt;
-#ifdef Q_OS_MAC
-  fmt.setVersion(4, 1);
-#else
-  fmt.setVersion(4, 3);
-#endif
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
+
+  CGAL::init_ogl_context(4,3);
   QApplication app(argc, argv);
   app.setOrganizationDomain("inria.fr");
   app.setOrganizationName("INRIA");
diff --git a/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp b/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
index a83e4ae1683..8c9baa63e53 100644
--- a/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
+++ b/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
@@ -5,27 +5,13 @@
 
 
 #include <CGAL/Qt/resources.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 int main(int argc, char** argv)
 {
-  QSurfaceFormat fmt;
-#ifdef Q_OS_MAC
-  fmt.setVersion(4, 1);
-#else
-  fmt.setVersion(4, 3);
-#endif
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-
-  //for Windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
+  CGAL::init_ogl_context(4,3);
 
   QApplication application(argc,argv);
-
   application.setOrganizationDomain("geometryfactory.com");
   application.setOrganizationName("GeometryFactory");
   application.setApplicationName("Alpha Shape Reconstruction");
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp b/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
index 72c7a0a4c09..72fe7f88c8b 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
+++ b/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
@@ -1,25 +1,10 @@
 #include "Viewer.h"
 #include <qapplication.h>
-
+#include <CGAL/Qt/Context_initialization.h>
 int main(int argc, char** argv)
 {
-  QSurfaceFormat fmt;
-#ifdef Q_OS_MAC
-  fmt.setVersion(4, 1);
-#else
-  fmt.setVersion(4, 3);
-#endif
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-  // Read command lines arguments.
-  //for Windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
+  CGAL::init_ogl_context(4,3);
   QApplication application(argc,argv);
-
   // Instantiate the viewer.
   Viewer viewer;
   viewer.setWindowTitle("Intersection points of randomly generated circles.");
diff --git a/GraphicsView/include/CGAL/Qt/Context_initialization.h b/GraphicsView/include/CGAL/Qt/Context_initialization.h
index 2c29b4eb6a8..1ad56f04a79 100644
--- a/GraphicsView/include/CGAL/Qt/Context_initialization.h
+++ b/GraphicsView/include/CGAL/Qt/Context_initialization.h
@@ -12,14 +12,22 @@
 
 #ifndef CGAL_QT_CONTEXT_INITIALIZATION_H
 #define CGAL_QT_CONTEXT_INITIALIZATION_H
+
 namespace CGAL
 {
-void init_ogl_context(int major, int minor) {
+inline void init_ogl_context(int major, int minor) {
   QSurfaceFormat fmt;
 #ifdef Q_OS_MAC
-  fmt.setVersion(4, 1);
+  if(major == 4)
+  {
+    fmt.setVersion(4, 1);
+  }
+  else
+  {
+     fmt.setVersion(major, minor);
+  }
 #else
-  fmt.setVersion(4, 3);
+  fmt.setVersion(major, minor);
 #endif
   fmt.setRenderableType(QSurfaceFormat::OpenGL);
   fmt.setProfile(QSurfaceFormat::CoreProfile);
@@ -33,7 +41,6 @@ void init_ogl_context(int major, int minor) {
 
   //We set the locale to avoid any trouble with VTK
   setlocale(LC_ALL, "C");
-  return i;
 }
 
 }
diff --git a/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp b/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
index 1672adad3f8..e27fbb07aad 100644
--- a/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
+++ b/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
@@ -14,6 +14,7 @@
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
 #include <CGAL/assertions_behaviour.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 // Global random
 CGAL::Random myrandom;
@@ -23,10 +24,7 @@ int main(int argc, char** argv)
   // std::cout<<"Size of dart: "<<sizeof(LCC::Dart)<<std::endl;
   CGAL::set_error_behaviour(CGAL::ABORT);
 
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
+  CGAL::init_ogl_context(4,3);
   QApplication application(argc,argv);
 
   application.setOrganizationDomain("cgal.org");
diff --git a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
index 650d78b0893..a34263b2a47 100644
--- a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
+++ b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
@@ -13,6 +13,7 @@
 #define CGAL_DRAW_LCC_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -404,9 +405,10 @@ void draw(const CGAL_LCC_TYPE& alcc,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"lccviewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     SimpleLCCViewerQt<CGAL_LCC_TYPE, DrawingFunctorLCC>
       mainwindow(app.activeWindow(), &alcc, title, nofill, drawing_functor);
     mainwindow.show();
diff --git a/Nef_3/include/CGAL/draw_nef_3.h b/Nef_3/include/CGAL/draw_nef_3.h
index f4babd5f6a6..1ccdb02415f 100644
--- a/Nef_3/include/CGAL/draw_nef_3.h
+++ b/Nef_3/include/CGAL/draw_nef_3.h
@@ -15,6 +15,7 @@
 
 #include <CGAL/license/Nef_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -253,9 +254,10 @@ void draw(const CGAL_NEF3_TYPE &anef,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc = 1;
     const char *argv[2] = {"nef_polyhedron_viewer", "\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc), const_cast<char **>(argv));
+    QApplication app(argc, const_cast<char **>(argv));
     DefaultColorFunctorNefPolyhedron fcolor;
     SimpleNefPolyhedronViewerQt<CGAL_NEF3_TYPE,
                                 DefaultColorFunctorNefPolyhedron>
diff --git a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
index e81c6fca7c3..f0df1f59c34 100644
--- a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
+++ b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
@@ -14,6 +14,7 @@
 
 #include <CGAL/license/Periodic_2_triangulation_2.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -260,9 +261,10 @@ void draw(const CGAL_P2T2_TYPE& ap2t2,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"p2t2_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     DefaultColorFunctorP2T2 fcolor;
     SimplePeriodic2Triangulation2ViewerQt<CGAL_P2T2_TYPE,
                                           DefaultColorFunctorP2T2>
diff --git a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
index 14e004ca71b..b66d053b8ad 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
+++ b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
@@ -1,15 +1,11 @@
 #include "MainWindow.h"
 
 #include <QApplication>
+#include <CGAL/Qt/Context_initialization.h>
 
 int main(int argc, char *argv[])
 {
-  QSurfaceFormat fmt;
-  fmt.setVersion(2, 1);
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
+  init_ogl_context(2,1);
   QApplication a(argc, argv);
   MainWindow w;
   //w.ui->setupUi(w);
diff --git a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
index 6e0435f4b4e..3778226b2f5 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
+++ b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
@@ -1,19 +1,13 @@
 #include "MainWindow.h"
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 int main(int argc, char** argv)
 {
-  QSurfaceFormat fmt;
-  fmt.setVersion(2, 1);
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-  //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
+
+  CGAL::init_ogl_context(2, 1);
+
   QApplication application(argc,argv);
   application.setOrganizationDomain("inria.fr");
   application.setOrganizationName("INRIA");
diff --git a/Point_set_3/include/CGAL/draw_point_set_3.h b/Point_set_3/include/CGAL/draw_point_set_3.h
index 295229bf568..c79da404ede 100644
--- a/Point_set_3/include/CGAL/draw_point_set_3.h
+++ b/Point_set_3/include/CGAL/draw_point_set_3.h
@@ -15,6 +15,7 @@
 
 #include <CGAL/license/Point_set_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -100,9 +101,10 @@ void draw(const Point_set_3<P, V>& apointset,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"point_set_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     SimplePointSetViewerQt<Point_set_3<P, V> > mainwindow(app.activeWindow(),
                                                           apointset,
                                                           title);
diff --git a/Polygon/include/CGAL/draw_polygon_2.h b/Polygon/include/CGAL/draw_polygon_2.h
index bad34bdc6f3..7c0b29cde20 100644
--- a/Polygon/include/CGAL/draw_polygon_2.h
+++ b/Polygon/include/CGAL/draw_polygon_2.h
@@ -18,6 +18,7 @@
 #define CGAL_DRAW_POLYGON_2_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -122,9 +123,10 @@ void draw(const CGAL::Polygon_2<T, C>& ap2,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     SimplePolygon2ViewerQt<CGAL::Polygon_2<T, C> >
       mainwindow(app.activeWindow(), ap2, title);
     mainwindow.show();
diff --git a/Polygon/include/CGAL/draw_polygon_with_holes_2.h b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
index 6aab87b3094..6cb017d3ef6 100644
--- a/Polygon/include/CGAL/draw_polygon_with_holes_2.h
+++ b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
@@ -18,6 +18,7 @@
 #define CGAL_DRAW_POLYGON_WITH_HOLES_2_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -138,9 +139,10 @@ void draw(const CGAL::Polygon_with_holes_2<T, C>& ap2,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     SimplePolygonWithHoles2ViewerQt<CGAL::Polygon_with_holes_2<T, C> >
       mainwindow(app.activeWindow(), ap2, title);
     mainwindow.show();
diff --git a/Polyhedron/include/CGAL/draw_polyhedron.h b/Polyhedron/include/CGAL/draw_polyhedron.h
index 6bce7a1fa82..4c780145c9e 100644
--- a/Polyhedron/include/CGAL/draw_polyhedron.h
+++ b/Polyhedron/include/CGAL/draw_polyhedron.h
@@ -14,6 +14,7 @@
 
 #include <CGAL/license/Polyhedron.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -208,9 +209,10 @@ void draw(const CGAL_POLY_TYPE& apoly,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"polyhedron_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     DefaultColorFunctorPolyhedron fcolor;
     SimplePolyhedronViewerQt<CGAL_POLY_TYPE, DefaultColorFunctorPolyhedron>
       mainwindow(app.activeWindow(), apoly, title, nofill, fcolor);
diff --git a/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp b/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
index 63581649155..25a3bde8b5f 100644
--- a/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
+++ b/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
@@ -18,18 +18,11 @@
 #include "MainWindow.h"
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 int main(int argc, char **argv)
 {
-  QSurfaceFormat fmt;
-  fmt.setVersion(2, 1);
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
-#endif
+  CGAL::init_ogl_context(2, 1);
 
   QApplication app(argc, argv);
   app.setOrganizationDomain("inria.fr");
diff --git a/Surface_mesh/include/CGAL/draw_surface_mesh.h b/Surface_mesh/include/CGAL/draw_surface_mesh.h
index ec502ab9809..6ee0239cf98 100644
--- a/Surface_mesh/include/CGAL/draw_surface_mesh.h
+++ b/Surface_mesh/include/CGAL/draw_surface_mesh.h
@@ -29,6 +29,7 @@ void draw(const SM& asm);
 
 #include <CGAL/license/Surface_mesh.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -208,9 +209,10 @@ void draw(const Surface_mesh<K>& amesh,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"surface_mesh_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     DefaultColorFunctorSM fcolor;
     SimpleSurfaceMeshViewerQt<Surface_mesh<K>, DefaultColorFunctorSM>
       mainwindow(app.activeWindow(), amesh, title, nofill, fcolor);
diff --git a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
index a310e1ae616..819297cc7d0 100644
--- a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
+++ b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
@@ -18,6 +18,7 @@
 #include <initializer_list>
 #include <CGAL/draw_linear_cell_complex.h>
 #include <CGAL/Path_on_surface.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -409,9 +410,10 @@ void draw(const Mesh& alcc,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"lccviewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     Face_graph_with_path_viewer<Mesh, DrawingFunctor> mainwindow(app.activeWindow(),
                                                                  alcc, &paths, amark,
                                                                  title, nofill,
diff --git a/Triangulation_2/include/CGAL/draw_triangulation_2.h b/Triangulation_2/include/CGAL/draw_triangulation_2.h
index 94cd7e0529c..7b854abb889 100644
--- a/Triangulation_2/include/CGAL/draw_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/draw_triangulation_2.h
@@ -14,6 +14,7 @@
 
 #include <CGAL/license/Triangulation_2.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -144,9 +145,10 @@ void draw(const CGAL_T2_TYPE& at2,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     DefaultColorFunctorT2 fcolor;
     SimpleTriangulation2ViewerQt<CGAL_T2_TYPE, DefaultColorFunctorT2>
       mainwindow(app.activeWindow(), at2, title, nofill, fcolor);
diff --git a/Triangulation_3/demo/Triangulation_3/T3_demo.cpp b/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
index 4d3be25b5ac..b590849fb2e 100644
--- a/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
+++ b/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
@@ -13,19 +13,12 @@
 
 #include "MainWindow.h"
 #include <QApplication>
+#include <CGAL/Qt/Context_initialization.h>
 
 int main(int argc, char** argv)
 {
-  QSurfaceFormat fmt;
-  fmt.setVersion(2, 1);
-  fmt.setRenderableType(QSurfaceFormat::OpenGL);
-  fmt.setProfile(QSurfaceFormat::CoreProfile);
-  fmt.setOption(QSurfaceFormat::DebugContext);
-  QSurfaceFormat::setDefaultFormat(fmt);
-  //for windows
-  #if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
-  QApplication::setAttribute(Qt::AA_UseDesktopOpenGL);
-  #endif
+  CGAL::init_ogl_context(2, 1);
+
   QApplication app(argc, argv);
 
   app.setOrganizationDomain("inria.fr");
diff --git a/Triangulation_3/include/CGAL/draw_triangulation_3.h b/Triangulation_3/include/CGAL/draw_triangulation_3.h
index cdb666564df..1a048c80d5b 100644
--- a/Triangulation_3/include/CGAL/draw_triangulation_3.h
+++ b/Triangulation_3/include/CGAL/draw_triangulation_3.h
@@ -14,6 +14,7 @@
 
 #include <CGAL/license/Triangulation_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -150,9 +151,10 @@ void draw(const CGAL_T3_TYPE& at3,
 
   if (!cgal_test_suite)
   {
+    init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t3_viewer","\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc),const_cast<char**>(argv));
+    QApplication app(argc,const_cast<char**>(argv));
     DefaultColorFunctorT3 fcolor;
     SimpleTriangulation3ViewerQt<CGAL_T3_TYPE, DefaultColorFunctorT3>
       mainwindow(app.activeWindow(), at3, title, nofill, fcolor);
diff --git a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
index 11ab8f3acf4..b172513a29e 100644
--- a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
+++ b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
@@ -14,6 +14,7 @@
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
 #include <CGAL/license/Voronoi_diagram_2.h>
+#include <CGAL/Qt/Context_initialization.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -316,9 +317,10 @@ void draw(const CGAL_VORONOI_TYPE &av2,
 #endif
 
   if (!cgal_test_suite) {
+    init_ogl_context(4,3);
     int argc = 1;
     const char *argv[2] = {"voronoi_2_viewer", "\0"};
-    QApplication app(CGAL::code_to_call_before_creation_of_QCoreApplication(argc), const_cast<char **>(argv));
+    QApplication app(argc, const_cast<char **>(argv));
     DefaultColorFunctorV2 fcolor;
     SimpleVoronoiDiagram2ViewerQt<CGAL_VORONOI_TYPE, DefaultColorFunctorV2>
         mainwindow(app.activeWindow(), av2, title, nofill,

From 04753381e5e91cd9dfefdba88f01bfd7928e0850 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 12 Jan 2021 13:22:34 +0100
Subject: [PATCH 162/317] Rename file and add ::Qt

---
 AABB_tree/demo/AABB_tree/AABB_demo.cpp                      | 4 ++--
 Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp        | 4 ++--
 .../demo/Circular_kernel_3/Circular_kernel_3.cpp            | 4 ++--
 .../Qt/{Context_initialization.h => init_ogl_context.h}     | 6 ++++--
 .../demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp | 4 ++--
 Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h | 4 ++--
 Nef_3/include/CGAL/draw_nef_3.h                             | 4 ++--
 .../include/CGAL/draw_periodic_2_triangulation_2.h          | 4 ++--
 .../periodic_3_triangulation_3_demo.cpp                     | 4 ++--
 .../demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp              | 4 ++--
 Point_set_3/include/CGAL/draw_point_set_3.h                 | 4 ++--
 Polygon/include/CGAL/draw_polygon_2.h                       | 4 ++--
 Polygon/include/CGAL/draw_polygon_with_holes_2.h            | 4 ++--
 Polyhedron/include/CGAL/draw_polyhedron.h                   | 4 ++--
 .../demo/Principal_component_analysis/PCA_demo.cpp          | 4 ++--
 Surface_mesh/include/CGAL/draw_surface_mesh.h               | 4 ++--
 .../include/CGAL/draw_face_graph_with_paths.h               | 4 ++--
 Triangulation_2/include/CGAL/draw_triangulation_2.h         | 4 ++--
 Triangulation_3/demo/Triangulation_3/T3_demo.cpp            | 4 ++--
 Triangulation_3/include/CGAL/draw_triangulation_3.h         | 4 ++--
 Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h     | 4 ++--
 21 files changed, 44 insertions(+), 42 deletions(-)
 rename GraphicsView/include/CGAL/Qt/{Context_initialization.h => init_ogl_context.h} (96%)

diff --git a/AABB_tree/demo/AABB_tree/AABB_demo.cpp b/AABB_tree/demo/AABB_tree/AABB_demo.cpp
index 4e643e352f3..018e0f69c14 100644
--- a/AABB_tree/demo/AABB_tree/AABB_demo.cpp
+++ b/AABB_tree/demo/AABB_tree/AABB_demo.cpp
@@ -19,12 +19,12 @@
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
 #include <QMimeData>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 int main(int argc, char **argv)
 {
 
-  CGAL::init_ogl_context(4,3);
+  CGAL::Qt::init_ogl_context(4,3);
   QApplication app(argc, argv);
   app.setOrganizationDomain("inria.fr");
   app.setOrganizationName("INRIA");
diff --git a/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp b/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
index 8c9baa63e53..784ee1af57f 100644
--- a/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
+++ b/Alpha_shapes_3/demo/Alpha_shapes_3/Alpha_shape_3.cpp
@@ -5,11 +5,11 @@
 
 
 #include <CGAL/Qt/resources.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 int main(int argc, char** argv)
 {
-  CGAL::init_ogl_context(4,3);
+  CGAL::Qt::init_ogl_context(4,3);
 
   QApplication application(argc,argv);
   application.setOrganizationDomain("geometryfactory.com");
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp b/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
index 72fe7f88c8b..0b41052abad 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
+++ b/Circular_kernel_3/demo/Circular_kernel_3/Circular_kernel_3.cpp
@@ -1,9 +1,9 @@
 #include "Viewer.h"
 #include <qapplication.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 int main(int argc, char** argv)
 {
-  CGAL::init_ogl_context(4,3);
+  CGAL::Qt::init_ogl_context(4,3);
   QApplication application(argc,argv);
   // Instantiate the viewer.
   Viewer viewer;
diff --git a/GraphicsView/include/CGAL/Qt/Context_initialization.h b/GraphicsView/include/CGAL/Qt/init_ogl_context.h
similarity index 96%
rename from GraphicsView/include/CGAL/Qt/Context_initialization.h
rename to GraphicsView/include/CGAL/Qt/init_ogl_context.h
index 1ad56f04a79..57198277fe6 100644
--- a/GraphicsView/include/CGAL/Qt/Context_initialization.h
+++ b/GraphicsView/include/CGAL/Qt/init_ogl_context.h
@@ -15,6 +15,8 @@
 
 namespace CGAL
 {
+namespace Qt
+{
 inline void init_ogl_context(int major, int minor) {
   QSurfaceFormat fmt;
 #ifdef Q_OS_MAC
@@ -43,6 +45,6 @@ inline void init_ogl_context(int major, int minor) {
   setlocale(LC_ALL, "C");
 }
 
-}
-
+} //end Qt
+} //end CGAL
 #endif // CGAL_QT_CONTEXT_INITIALIZATION_H
diff --git a/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp b/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
index e27fbb07aad..cd31d859217 100644
--- a/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
+++ b/Linear_cell_complex/demo/Linear_cell_complex/Linear_cell_complex_3_demo.cpp
@@ -14,7 +14,7 @@
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
 #include <CGAL/assertions_behaviour.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 // Global random
 CGAL::Random myrandom;
@@ -24,7 +24,7 @@ int main(int argc, char** argv)
   // std::cout<<"Size of dart: "<<sizeof(LCC::Dart)<<std::endl;
   CGAL::set_error_behaviour(CGAL::ABORT);
 
-  CGAL::init_ogl_context(4,3);
+  CGAL::Qt::init_ogl_context(4,3);
   QApplication application(argc,argv);
 
   application.setOrganizationDomain("cgal.org");
diff --git a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
index a34263b2a47..8a3a34b6523 100644
--- a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
+++ b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
@@ -13,7 +13,7 @@
 #define CGAL_DRAW_LCC_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -405,7 +405,7 @@ void draw(const CGAL_LCC_TYPE& alcc,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"lccviewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Nef_3/include/CGAL/draw_nef_3.h b/Nef_3/include/CGAL/draw_nef_3.h
index 1ccdb02415f..1f397471e6c 100644
--- a/Nef_3/include/CGAL/draw_nef_3.h
+++ b/Nef_3/include/CGAL/draw_nef_3.h
@@ -15,7 +15,7 @@
 
 #include <CGAL/license/Nef_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -254,7 +254,7 @@ void draw(const CGAL_NEF3_TYPE &anef,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc = 1;
     const char *argv[2] = {"nef_polyhedron_viewer", "\0"};
     QApplication app(argc, const_cast<char **>(argv));
diff --git a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
index f0df1f59c34..6e192e321fd 100644
--- a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
+++ b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
@@ -14,7 +14,7 @@
 
 #include <CGAL/license/Periodic_2_triangulation_2.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -261,7 +261,7 @@ void draw(const CGAL_P2T2_TYPE& ap2t2,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"p2t2_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
index b66d053b8ad..2cf672fdb48 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
+++ b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
@@ -1,11 +1,11 @@
 #include "MainWindow.h"
 
 #include <QApplication>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 int main(int argc, char *argv[])
 {
-  init_ogl_context(2,1);
+  CGAL::Qt::init_ogl_context(2,1);
   QApplication a(argc, argv);
   MainWindow w;
   //w.ui->setupUi(w);
diff --git a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
index 3778226b2f5..ae0074e0bcc 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
+++ b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Periodic_Lloyd_3.cpp
@@ -1,12 +1,12 @@
 #include "MainWindow.h"
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 int main(int argc, char** argv)
 {
 
-  CGAL::init_ogl_context(2, 1);
+  CGAL::Qt::init_ogl_context(2, 1);
 
   QApplication application(argc,argv);
   application.setOrganizationDomain("inria.fr");
diff --git a/Point_set_3/include/CGAL/draw_point_set_3.h b/Point_set_3/include/CGAL/draw_point_set_3.h
index c79da404ede..ef02b438a68 100644
--- a/Point_set_3/include/CGAL/draw_point_set_3.h
+++ b/Point_set_3/include/CGAL/draw_point_set_3.h
@@ -15,7 +15,7 @@
 
 #include <CGAL/license/Point_set_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -101,7 +101,7 @@ void draw(const Point_set_3<P, V>& apointset,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"point_set_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Polygon/include/CGAL/draw_polygon_2.h b/Polygon/include/CGAL/draw_polygon_2.h
index 7c0b29cde20..fe31f51deca 100644
--- a/Polygon/include/CGAL/draw_polygon_2.h
+++ b/Polygon/include/CGAL/draw_polygon_2.h
@@ -18,7 +18,7 @@
 #define CGAL_DRAW_POLYGON_2_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -123,7 +123,7 @@ void draw(const CGAL::Polygon_2<T, C>& ap2,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Polygon/include/CGAL/draw_polygon_with_holes_2.h b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
index 6cb017d3ef6..0b9d5260c1f 100644
--- a/Polygon/include/CGAL/draw_polygon_with_holes_2.h
+++ b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
@@ -18,7 +18,7 @@
 #define CGAL_DRAW_POLYGON_WITH_HOLES_2_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -139,7 +139,7 @@ void draw(const CGAL::Polygon_with_holes_2<T, C>& ap2,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Polyhedron/include/CGAL/draw_polyhedron.h b/Polyhedron/include/CGAL/draw_polyhedron.h
index 4c780145c9e..58610cd5891 100644
--- a/Polyhedron/include/CGAL/draw_polyhedron.h
+++ b/Polyhedron/include/CGAL/draw_polyhedron.h
@@ -14,7 +14,7 @@
 
 #include <CGAL/license/Polyhedron.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -209,7 +209,7 @@ void draw(const CGAL_POLY_TYPE& apoly,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"polyhedron_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp b/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
index 25a3bde8b5f..04b8cf11f13 100644
--- a/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
+++ b/Principal_component_analysis/demo/Principal_component_analysis/PCA_demo.cpp
@@ -18,11 +18,11 @@
 #include "MainWindow.h"
 #include <QApplication>
 #include <CGAL/Qt/resources.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 int main(int argc, char **argv)
 {
-  CGAL::init_ogl_context(2, 1);
+  CGAL::Qt::init_ogl_context(2, 1);
 
   QApplication app(argc, argv);
   app.setOrganizationDomain("inria.fr");
diff --git a/Surface_mesh/include/CGAL/draw_surface_mesh.h b/Surface_mesh/include/CGAL/draw_surface_mesh.h
index 6ee0239cf98..5ebbc221af3 100644
--- a/Surface_mesh/include/CGAL/draw_surface_mesh.h
+++ b/Surface_mesh/include/CGAL/draw_surface_mesh.h
@@ -29,7 +29,7 @@ void draw(const SM& asm);
 
 #include <CGAL/license/Surface_mesh.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -209,7 +209,7 @@ void draw(const Surface_mesh<K>& amesh,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"surface_mesh_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
index 819297cc7d0..dfa4af1cc26 100644
--- a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
+++ b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
@@ -18,7 +18,7 @@
 #include <initializer_list>
 #include <CGAL/draw_linear_cell_complex.h>
 #include <CGAL/Path_on_surface.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -410,7 +410,7 @@ void draw(const Mesh& alcc,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"lccviewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Triangulation_2/include/CGAL/draw_triangulation_2.h b/Triangulation_2/include/CGAL/draw_triangulation_2.h
index 7b854abb889..a5a0f5331d2 100644
--- a/Triangulation_2/include/CGAL/draw_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/draw_triangulation_2.h
@@ -14,7 +14,7 @@
 
 #include <CGAL/license/Triangulation_2.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -145,7 +145,7 @@ void draw(const CGAL_T2_TYPE& at2,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t2_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Triangulation_3/demo/Triangulation_3/T3_demo.cpp b/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
index b590849fb2e..aef465639ff 100644
--- a/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
+++ b/Triangulation_3/demo/Triangulation_3/T3_demo.cpp
@@ -13,11 +13,11 @@
 
 #include "MainWindow.h"
 #include <QApplication>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 int main(int argc, char** argv)
 {
-  CGAL::init_ogl_context(2, 1);
+  CGAL::Qt::init_ogl_context(2, 1);
 
   QApplication app(argc, argv);
 
diff --git a/Triangulation_3/include/CGAL/draw_triangulation_3.h b/Triangulation_3/include/CGAL/draw_triangulation_3.h
index 1a048c80d5b..4cac6b42526 100644
--- a/Triangulation_3/include/CGAL/draw_triangulation_3.h
+++ b/Triangulation_3/include/CGAL/draw_triangulation_3.h
@@ -14,7 +14,7 @@
 
 #include <CGAL/license/Triangulation_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -151,7 +151,7 @@ void draw(const CGAL_T3_TYPE& at3,
 
   if (!cgal_test_suite)
   {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc=1;
     const char* argv[2]={"t3_viewer","\0"};
     QApplication app(argc,const_cast<char**>(argv));
diff --git a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
index b172513a29e..53c38de359e 100644
--- a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
+++ b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
@@ -14,7 +14,7 @@
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
 #include <CGAL/license/Voronoi_diagram_2.h>
-#include <CGAL/Qt/Context_initialization.h>
+#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
@@ -317,7 +317,7 @@ void draw(const CGAL_VORONOI_TYPE &av2,
 #endif
 
   if (!cgal_test_suite) {
-    init_ogl_context(4,3);
+    CGAL::Qt::init_ogl_context(4,3);
     int argc = 1;
     const char *argv[2] = {"voronoi_2_viewer", "\0"};
     QApplication app(argc, const_cast<char **>(argv));

From 9a202e2bbc8d5e3acd3fcd1acb7b15f660c14b98 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 12 Jan 2021 13:27:31 +0100
Subject: [PATCH 163/317] Add missing headers

---
 GraphicsView/include/CGAL/Qt/init_ogl_context.h | 7 +++++--
 1 file changed, 5 insertions(+), 2 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/init_ogl_context.h b/GraphicsView/include/CGAL/Qt/init_ogl_context.h
index 57198277fe6..4ec18c6659a 100644
--- a/GraphicsView/include/CGAL/Qt/init_ogl_context.h
+++ b/GraphicsView/include/CGAL/Qt/init_ogl_context.h
@@ -13,6 +13,11 @@
 #ifndef CGAL_QT_CONTEXT_INITIALIZATION_H
 #define CGAL_QT_CONTEXT_INITIALIZATION_H
 
+#include <CGAL/license/GraphicsView.h>
+
+
+#include <QSurfaceFormat>
+#include <QCoreApplication>
 namespace CGAL
 {
 namespace Qt
@@ -37,9 +42,7 @@ inline void init_ogl_context(int major, int minor) {
   QSurfaceFormat::setDefaultFormat(fmt);
 
   //for windows
-#if (QT_VERSION >= QT_VERSION_CHECK(5, 3, 0))
   QCoreApplication::setAttribute(::Qt::AA_UseDesktopOpenGL);
-#endif
 
   //We set the locale to avoid any trouble with VTK
   setlocale(LC_ALL, "C");

From f5065150085558ecf593e456124c379279cdc433 Mon Sep 17 00:00:00 2001
From: Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
Date: Tue, 12 Jan 2021 18:24:43 +0100
Subject: [PATCH 164/317] Bug fix in lcc basic viewer when lcc is null

---
 .../demo/Linear_cell_complex/Viewer.cpp       |  3 +--
 .../include/CGAL/draw_linear_cell_complex.h   | 22 ++++++++++++++-----
 2 files changed, 17 insertions(+), 8 deletions(-)

diff --git a/Linear_cell_complex/demo/Linear_cell_complex/Viewer.cpp b/Linear_cell_complex/demo/Linear_cell_complex/Viewer.cpp
index 3f82a3ffab7..dafcccb1695 100644
--- a/Linear_cell_complex/demo/Linear_cell_complex/Viewer.cpp
+++ b/Linear_cell_complex/demo/Linear_cell_complex/Viewer.cpp
@@ -15,7 +15,7 @@
 #include <CGAL/Qt/vec.h>
 
 Viewer::Viewer(QWidget* parent) :
-    Base(parent, NULL, ""),
+    Base(parent, nullptr, ""),
     m_previous_scene_empty(true)
 {}
 
@@ -50,4 +50,3 @@ void Viewer::keyPressEvent(QKeyEvent *e)
 
 QString Viewer::helpString() const
 { return Base::helpString("LCC Demo"); }
-
diff --git a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
index 6f630b2c0b1..ea7a8e07dfe 100644
--- a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
+++ b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
@@ -170,13 +170,17 @@ public:
     // First draw: vertices; edges, faces; multi-color; inverse normal
     Base(parent, title, true, true, true, false, false),
     lcc(alcc),
-    m_oriented_mark(lcc->get_new_mark()),
+    m_oriented_mark(LCC::INVALID_MARK),
     m_nofaces(anofaces),
     m_random_face_color(false),
     m_drawing_functor(drawing_functor)
   {
-    lcc->orient(m_oriented_mark);
-    compute_elements();
+    if (lcc!=nullptr)
+    {
+      lcc->get_new_mark();
+      lcc->orient(m_oriented_mark);
+      compute_elements();
+    }
   }
 
   ~SimpleLCCViewerQt()
@@ -185,14 +189,20 @@ public:
 protected:
   void set_lcc(const LCC* alcc, bool doredraw=true)
   {
+    if (lcc==alcc)
+    { return; }
+
     if (lcc!=nullptr)
     { lcc->free_mark(m_oriented_mark); }
 
     lcc=alcc;
-    m_oriented_mark=lcc->get_new_mark();
-    lcc->orient(m_oriented_mark);
+    if (lcc!=nullptr)
+    {
+      m_oriented_mark=lcc->get_new_mark();
+      lcc->orient(m_oriented_mark);
+      compute_elements();
+    }
 
-    compute_elements();
     if (doredraw) { redraw(); }
   }
 

From c1158a32c8c6d7cb0343c3141d56c35ed06a5e82 Mon Sep 17 00:00:00 2001
From: Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
Date: Tue, 12 Jan 2021 18:58:04 +0100
Subject: [PATCH 165/317] Orient mark is now local to compute element in draw
 LCC.

---
 .../include/CGAL/draw_linear_cell_complex.h   | 35 +++++++------------
 1 file changed, 13 insertions(+), 22 deletions(-)

diff --git a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
index ea7a8e07dfe..706735aa87a 100644
--- a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
+++ b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
@@ -170,21 +170,16 @@ public:
     // First draw: vertices; edges, faces; multi-color; inverse normal
     Base(parent, title, true, true, true, false, false),
     lcc(alcc),
-    m_oriented_mark(LCC::INVALID_MARK),
     m_nofaces(anofaces),
     m_random_face_color(false),
     m_drawing_functor(drawing_functor)
   {
     if (lcc!=nullptr)
-    {
-      lcc->get_new_mark();
-      lcc->orient(m_oriented_mark);
-      compute_elements();
-    }
+    { compute_elements(); }
   }
 
   ~SimpleLCCViewerQt()
-  { lcc->free_mark(m_oriented_mark); }
+  {}
 
 protected:
   void set_lcc(const LCC* alcc, bool doredraw=true)
@@ -192,16 +187,9 @@ protected:
     if (lcc==alcc)
     { return; }
 
-    if (lcc!=nullptr)
-    { lcc->free_mark(m_oriented_mark); }
-
     lcc=alcc;
     if (lcc!=nullptr)
-    {
-      m_oriented_mark=lcc->get_new_mark();
-      lcc->orient(m_oriented_mark);
-      compute_elements();
-    }
+    { compute_elements(); }
 
     if (doredraw) { redraw(); }
   }
@@ -282,10 +270,13 @@ protected:
     clear();
     if (lcc==nullptr) return;
 
-    typename LCC::size_type markvolumes  = lcc->get_new_mark();
-    typename LCC::size_type markfaces    = lcc->get_new_mark();
-    typename LCC::size_type markedges    = lcc->get_new_mark();
-    typename LCC::size_type markvertices = lcc->get_new_mark();
+    typename LCC::size_type markvolumes  =lcc->get_new_mark();
+    typename LCC::size_type markfaces    =lcc->get_new_mark();
+    typename LCC::size_type markedges    =lcc->get_new_mark();
+    typename LCC::size_type markvertices =lcc->get_new_mark();
+    typename LCC::size_type oriented_mark=lcc->get_new_mark();
+
+    lcc->orient(oriented_mark);
 
     for (typename LCC::Dart_range::const_iterator it=lcc->darts().begin(),
          itend=lcc->darts().end(); it!=itend; ++it )
@@ -300,7 +291,7 @@ protected:
         {
           lcc->mark(itv, markvolumes); // To be sure that all darts of the basic iterator will be marked
           if (!lcc->is_marked(itv, markfaces) &&
-              lcc->is_marked(itv, m_oriented_mark) &&
+              lcc->is_marked(itv, oriented_mark) &&
               m_drawing_functor.draw_face(*lcc, itv))
           {
             if (!m_drawing_functor.volume_wireframe(*lcc, itv) &&
@@ -345,13 +336,14 @@ protected:
       lcc->unmark(it, markedges);
       lcc->unmark(it, markfaces);
       lcc->unmark(it, markvolumes);
-
+      lcc->unmark(it, oriented_mark);
     }
 
     lcc->free_mark(markvolumes);
     lcc->free_mark(markfaces);
     lcc->free_mark(markedges);
     lcc->free_mark(markvertices);
+    lcc->free_mark(oriented_mark);
   }
 
   virtual void init()
@@ -382,7 +374,6 @@ protected:
 
 protected:
   const LCC* lcc;
-  typename LCC::size_type m_oriented_mark;
   bool m_nofaces;
   bool m_random_face_color;
   const DrawingFunctorLCC& m_drawing_functor;

From ffc16da931714af49eaec94d8c9479c690e4a26f Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 13 Jan 2021 13:50:32 +0100
Subject: [PATCH 166/317] close stream

---
 .../CGAL/Polygon_mesh_processing/repair_self_intersections.h     | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
index 43569b3ca96..3196b49fd13 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_self_intersections.h
@@ -243,6 +243,7 @@ FaceOutputIterator replace_faces_with_patch(const std::vector<typename boost::gr
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_OUTPUT
   std::ofstream res_out("results/last_patch_replacement.off");
   res_out << std::setprecision(17) << pmesh;
+  res_out.close();
 #endif
 
 #ifdef CGAL_PMP_REMOVE_SELF_INTERSECTION_DEBUG

From af3d33b5e7baf1c83ce283a4268c0d6684da3c39 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 14 Jan 2021 09:49:57 +0100
Subject: [PATCH 167/317] Fix texture management in AABB demo

---
 AABB_tree/demo/AABB_tree/Scene.cpp | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/AABB_tree/demo/AABB_tree/Scene.cpp b/AABB_tree/demo/AABB_tree/Scene.cpp
index a48a517423a..b86be7ca292 100644
--- a/AABB_tree/demo/AABB_tree/Scene.cpp
+++ b/AABB_tree/demo/AABB_tree/Scene.cpp
@@ -156,11 +156,11 @@ void Scene::compile_shaders()
     const char tex_fragment_source[] =
     {
         "#version 150 \n"
-        "uniform sampler2D texture;\n"
+        "uniform sampler2D s_texture;\n"
         "in highp vec2 texc;\n"
         "out highp vec4 out_color; \n"
         "void main(void) { \n"
-        "out_color = texture2D(texture, texc.st);\n"
+        "out_color = vec4(texture(s_texture, texc));\n"
         "} \n"
         "\n"
     };

From fa22cd972b660b54894c5907c19fdf06cff38d8e Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 14 Jan 2021 13:58:15 +0100
Subject: [PATCH 168/317] Change libpointmatcher_support so it won't fail when
 old boost has been used to build pointmatcher.

---
 Installation/cmake/modules/CGAL_pointmatcher_support.cmake | 7 +++----
 .../examples/Point_set_processing_3/CMakeLists.txt         | 1 +
 2 files changed, 4 insertions(+), 4 deletions(-)

diff --git a/Installation/cmake/modules/CGAL_pointmatcher_support.cmake b/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
index c023102661f..520e4d3a2b2 100644
--- a/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
+++ b/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
@@ -1,7 +1,6 @@
 if(libpointmatcher_FOUND AND NOT TARGET CGAL::pointmatcher_support)
   add_library(CGAL::pointmatcher_support INTERFACE IMPORTED)
-  set_target_properties(CGAL::pointmatcher_support PROPERTIES
-    INTERFACE_COMPILE_DEFINITIONS "CGAL_LINKED_WITH_POINTMATCHER"
-    INTERFACE_INCLUDE_DIRECTORIES "${libpointmatcher_INCLUDE_DIR}"
-    INTERFACE_LINK_LIBRARIES "${libpointmatcher_LIBRARIES}")
+  target_compile_definitions(CGAL::pointmatcher_support INTERFACE "CGAL_LINKED_WITH_POINTMATCHER")
+  target_include_directories(CGAL::pointmatcher_support INTERFACE "${libpointmatcher_INCLUDE_DIR}")
+  target_link_libraries(CGAL::pointmatcher_support INTERFACE "${libpointmatcher_LIBRARIES}")
 endif()
diff --git a/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt b/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
index 83253368016..93dab1bc293 100644
--- a/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
+++ b/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
@@ -93,6 +93,7 @@ if ( CGAL_FOUND )
     find_package(libpointmatcher QUIET)
     include(CGAL_pointmatcher_support)
     if (TARGET CGAL::pointmatcher_support)
+      find_package(Boost COMPONENTS thread filesystem system program_options date_time chrono REQUIRED)
       add_executable(registration_with_pointmatcher "registration_with_pointmatcher.cpp")
       target_link_libraries(registration_with_pointmatcher
         ${CGAL_libs} CGAL::pointmatcher_support)

From ff9d714f85f5b356e70c1029f913ce94b6b36a44 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 14 Jan 2021 14:06:18 +0100
Subject: [PATCH 169/317] Fix input

---
 .../Point_set_processing_3/registration_with_OpenGR.cpp       | 4 ++--
 .../registration_with_opengr_pointmatcher_pipeline.cpp        | 4 ++--
 .../Point_set_processing_3/registration_with_pointmatcher.cpp | 4 ++--
 3 files changed, 6 insertions(+), 6 deletions(-)

diff --git a/Point_set_processing_3/examples/Point_set_processing_3/registration_with_OpenGR.cpp b/Point_set_processing_3/examples/Point_set_processing_3/registration_with_OpenGR.cpp
index ae11db41dbf..ff1aa3752d2 100644
--- a/Point_set_processing_3/examples/Point_set_processing_3/registration_with_OpenGR.cpp
+++ b/Point_set_processing_3/examples/Point_set_processing_3/registration_with_OpenGR.cpp
@@ -25,7 +25,7 @@ int main(int argc, const char** argv)
   const char* fname2 = (argc>2)?argv[2]:"data/hippo2.ply";
 
   std::vector<Pwn> pwns1, pwns2;
-  std::ifstream input(fname1);
+  std::ifstream input(fname1, std::ios::binary);
   if (!input ||
       !CGAL::read_ply_points(input, std::back_inserter(pwns1),
             CGAL::parameters::point_map (CGAL::First_of_pair_property_map<Pwn>()).
@@ -36,7 +36,7 @@ int main(int argc, const char** argv)
   }
   input.close();
 
-  input.open(fname2);
+  input.open(fname2, std::ios::binary);
   if (!input ||
       !CGAL::read_ply_points(input, std::back_inserter(pwns2),
             CGAL::parameters::point_map (Point_map()).
diff --git a/Point_set_processing_3/examples/Point_set_processing_3/registration_with_opengr_pointmatcher_pipeline.cpp b/Point_set_processing_3/examples/Point_set_processing_3/registration_with_opengr_pointmatcher_pipeline.cpp
index 2af66826d73..a5ab2cc5c36 100644
--- a/Point_set_processing_3/examples/Point_set_processing_3/registration_with_opengr_pointmatcher_pipeline.cpp
+++ b/Point_set_processing_3/examples/Point_set_processing_3/registration_with_opengr_pointmatcher_pipeline.cpp
@@ -28,7 +28,7 @@ int main(int argc, const char** argv)
   const char* fname2 = (argc>2)?argv[2]:"data/hippo2.ply";
 
   std::vector<Pwn> pwns1, pwns2;
-  std::ifstream input(fname1);
+  std::ifstream input(fname1, std::ios::binary);
   if (!input ||
       !CGAL::read_ply_points(input, std::back_inserter(pwns1),
             CGAL::parameters::point_map (CGAL::First_of_pair_property_map<Pwn>()).
@@ -39,7 +39,7 @@ int main(int argc, const char** argv)
   }
   input.close();
 
-  input.open(fname2);
+  input.open(fname2, std::ios::binary);
   if (!input ||
       !CGAL::read_ply_points(input, std::back_inserter(pwns2),
             CGAL::parameters::point_map (Point_map()).
diff --git a/Point_set_processing_3/examples/Point_set_processing_3/registration_with_pointmatcher.cpp b/Point_set_processing_3/examples/Point_set_processing_3/registration_with_pointmatcher.cpp
index f4de0556667..ea903b9b412 100644
--- a/Point_set_processing_3/examples/Point_set_processing_3/registration_with_pointmatcher.cpp
+++ b/Point_set_processing_3/examples/Point_set_processing_3/registration_with_pointmatcher.cpp
@@ -28,7 +28,7 @@ int main(int argc, const char** argv)
   const char* fname2 = (argc>2)?argv[2]:"data/hippo2.ply";
 
   std::vector<Pwn> pwns1, pwns2;
-  std::ifstream input(fname1);
+  std::ifstream input(fname1, std::ios::binary);
   if (!input ||
       !CGAL::read_ply_points(input, std::back_inserter(pwns1),
             CGAL::parameters::point_map (CGAL::First_of_pair_property_map<Pwn>()).
@@ -39,7 +39,7 @@ int main(int argc, const char** argv)
   }
   input.close();
 
-  input.open(fname2);
+  input.open(fname2, std::ios::binary);
   if (!input ||
       !CGAL::read_ply_points(input, std::back_inserter(pwns2),
             CGAL::parameters::point_map (Point_map()).

From 8765c63e9cd23e0b91571932346446c4711b1c43 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Fri, 15 Jan 2021 07:55:27 +0000
Subject: [PATCH 170/317] bug fix

---
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h    | 4 ++--
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h    | 4 ++--
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h    | 4 ++--
 3 files changed, 6 insertions(+), 6 deletions(-)

diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
index 4e84e3eebc7..9712a666403 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
@@ -110,8 +110,8 @@ struct Exact_intersect_xy_2 <R,Homogeneous_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = s2.source();
-      q2 = s2.target();
+      p2 = si.source();
+      q2 = si.target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3 (p2.hx(),p2.hy(),0,p2.hw()),
                                                          Point_3 (q2.hx(),q2.hy(),0,q2.hw())) ));
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
index 178b8b6ad2c..9b812d958b7 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
@@ -109,8 +109,8 @@ struct Exact_intersect_xz_2 <R,Homogeneous_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = s2.source();
-      q2 = s2.target();
+      p2 = si.source();
+      q2 = si.target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3 (p2.hx(),0,p2.hy(),p2.hw()),
                                                          Point_3 (q2.hx(),0,q2.hy(),q2.hw())) ));
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
index 2ff1f85a2c7..7180acbf1e8 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
@@ -110,8 +110,8 @@ struct Exact_intersect_yz_2 <R,Homogeneous_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = s2.source();
-      q2 = s2.target();
+      p2 = si.source();
+      q2 = si.target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3 (0,p2.hx(),p2.hy(),p2.hw()),
                                                          Point_3 (0,q2.hx(),q2.hy(),q2.hw())) ));

From 99a31e07fe31d26133eea6d1bcbd2aac5f24a122 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 15 Jan 2021 14:03:12 +0100
Subject: [PATCH 171/317] Move the Boost components in the support file and
 condition it to windows.

---
 .../doc/Documentation/Third_party.txt         |  4 ++++
 .../modules/CGAL_pointmatcher_support.cmake   | 21 +++++++++++++++----
 .../Point_set_processing_3/CMakeLists.txt     |  1 -
 3 files changed, 21 insertions(+), 5 deletions(-)

diff --git a/Documentation/doc/Documentation/Third_party.txt b/Documentation/doc/Documentation/Third_party.txt
index 6019c3057ae..02bffde6a6b 100644
--- a/Documentation/doc/Documentation/Third_party.txt
+++ b/Documentation/doc/Documentation/Third_party.txt
@@ -154,6 +154,10 @@ executables should be linked with the CMake imported target
 
 The \sc{libpointmatcher} web site is <A
 HREF="https://github.com/ethz-asl/libpointmatcher">`https://github.com/ethz-asl/libpointmatcher`</A>.
+\attention On Windows, we only test the following setup : PointMatcher 1.3.1 with Eigen 3.3.7. Also, to make it work, you should follow the instructions at
+`https://github.com/ethz-asl/libpointmatcher/blob/master/doc/CompilationWindows.md`, but replace `NABO_INCLUDE_DIR` by `libnabo_INCLUDE_DIRS`
+and `NABO_LIBRARY` by `libnabo_LIBRARIES` when configuring PointMatcher.
+
 
 \subsection thirdpartyLeda LEDA
 <b>Version 6.2 or later</b>
diff --git a/Installation/cmake/modules/CGAL_pointmatcher_support.cmake b/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
index 520e4d3a2b2..7247f399f18 100644
--- a/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
+++ b/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
@@ -1,6 +1,19 @@
 if(libpointmatcher_FOUND AND NOT TARGET CGAL::pointmatcher_support)
-  add_library(CGAL::pointmatcher_support INTERFACE IMPORTED)
-  target_compile_definitions(CGAL::pointmatcher_support INTERFACE "CGAL_LINKED_WITH_POINTMATCHER")
-  target_include_directories(CGAL::pointmatcher_support INTERFACE "${libpointmatcher_INCLUDE_DIR}")
-  target_link_libraries(CGAL::pointmatcher_support INTERFACE "${libpointmatcher_LIBRARIES}")
+  if(WIN32 OR CMAKE_SYSTEM_NAME STREQUAL Windows)
+    find_package(Boost COMPONENTS thread filesystem system program_options date_time chrono)
+  endif()
+  if(NOT (WIN32 OR CMAKE_SYSTEM_NAME STREQUAL Windows)
+      OR ( Boost_chrono_FOUND
+      AND Boost_thread_FOUND
+      AND Boost_filesystem_FOUND
+      AND Boost_system_FOUND
+      AND Boost_program_options_FOUND
+      AND Boost_date_time_FOUND) )
+    add_library(CGAL::pointmatcher_support INTERFACE IMPORTED)
+    target_compile_definitions(CGAL::pointmatcher_support INTERFACE "CGAL_LINKED_WITH_POINTMATCHER")
+    target_include_directories(CGAL::pointmatcher_support INTERFACE "${libpointmatcher_INCLUDE_DIR}")
+    target_link_libraries(CGAL::pointmatcher_support INTERFACE "${libpointmatcher_LIBRARIES}")
+  else()
+    message(STATUS "NOTICE : the libpointmatcher library requires the following boost components: thread filesystem system program_options date_time chrono.")
+  endif()
 endif()
diff --git a/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt b/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
index 93dab1bc293..83253368016 100644
--- a/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
+++ b/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
@@ -93,7 +93,6 @@ if ( CGAL_FOUND )
     find_package(libpointmatcher QUIET)
     include(CGAL_pointmatcher_support)
     if (TARGET CGAL::pointmatcher_support)
-      find_package(Boost COMPONENTS thread filesystem system program_options date_time chrono REQUIRED)
       add_executable(registration_with_pointmatcher "registration_with_pointmatcher.cpp")
       target_link_libraries(registration_with_pointmatcher
         ${CGAL_libs} CGAL::pointmatcher_support)

From a46d62b83ed20498e16bff28811079f5e7ab0649 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 15 Jan 2021 15:09:12 +0100
Subject: [PATCH 172/317] WIP testing deprecated IO functions

---
 BGL/include/CGAL/boost/graph/IO/OFF.h |  4 +--
 BGL/test/BGL/CMakeLists.txt           |  4 +++
 BGL/test/BGL/test_deprecated_io.cpp   | 49 +++++++++++++++++++++++++++
 3 files changed, 55 insertions(+), 2 deletions(-)
 create mode 100644 BGL/test/BGL/test_deprecated_io.cpp

diff --git a/BGL/include/CGAL/boost/graph/IO/OFF.h b/BGL/include/CGAL/boost/graph/IO/OFF.h
index 0c95c7ea570..507bc04467d 100644
--- a/BGL/include/CGAL/boost/graph/IO/OFF.h
+++ b/BGL/include/CGAL/boost/graph/IO/OFF.h
@@ -284,9 +284,9 @@ bool read_OFF(const std::string& fname, Graph& g,
  \deprecated This function is deprecated since \cgal 5.2, `CGAL::read_OFF()` should be used instead.
 */
 template <typename Graph, typename CGAL_BGL_NP_TEMPLATE_PARAMETERS>
-CGAL_DEPRECATED bool read_off(std::ostream& os, Graph& g, const CGAL_BGL_NP_CLASS& np)
+CGAL_DEPRECATED bool read_off(std::istream& is, Graph& g, const CGAL_BGL_NP_CLASS& np)
 {
-  return read_OFF(os, g, np);
+  return read_OFF(is, g, np);
 }
 
 /*!
diff --git a/BGL/test/BGL/CMakeLists.txt b/BGL/test/BGL/CMakeLists.txt
index d6ec47e9cae..3009a3ae873 100644
--- a/BGL/test/BGL/CMakeLists.txt
+++ b/BGL/test/BGL/CMakeLists.txt
@@ -98,6 +98,8 @@ create_single_source_cgal_program(
 
 create_single_source_cgal_program( "graph_traits_inheritance.cpp" )
 
+create_single_source_cgal_program("test_deprecated_io.cpp")
+
 if(OpenMesh_FOUND)
   target_link_libraries(test_clear PRIVATE ${OPENMESH_LIBRARIES})
   target_compile_definitions(test_clear PRIVATE -DCGAL_USE_OPENMESH)
@@ -129,6 +131,8 @@ if (VTK_FOUND)
     if(VTK_LIBRARIES)
       target_link_libraries(test_bgl_read_write PRIVATE ${VTK_LIBRARIES})
       target_compile_definitions(test_bgl_read_write PRIVATE -DCGAL_USE_VTK)
+      target_link_libraries(test_deprecated_io PRIVATE ${VTK_LIBRARIES})
+      target_compile_definitions(test_deprecated_io PRIVATE -DCGAL_USE_VTK)
     else()
       message(STATUS "Tests that use VTK will not be compiled.")
     endif()
diff --git a/BGL/test/BGL/test_deprecated_io.cpp b/BGL/test/BGL/test_deprecated_io.cpp
new file mode 100644
index 00000000000..d195299f1f1
--- /dev/null
+++ b/BGL/test/BGL/test_deprecated_io.cpp
@@ -0,0 +1,49 @@
+#include <CGAL/internal/disable_deprecation_warnings_and_errors.h>
+
+#include <CGAL/Surface_mesh.h>
+#include <CGAL/Simple_cartesian.h>
+#include <CGAL/boost/graph/generators.h>
+
+#include <CGAL/boost/graph/IO/OFF.h>
+#include <CGAL/boost/graph/IO/VTK.h>
+typedef CGAL::Simple_cartesian<double>         Kernel;
+typedef Kernel::Point_3                        Point_3;
+typedef CGAL::Surface_mesh<Point_3>            SM;
+
+int main()
+{
+  // OFF
+  SM sm_in, sm_out;
+  Point_3 p0(0,0,0), p1(1,0,0), p2(0,1,0);
+  CGAL::make_triangle(p0, p1, p2, sm_out);
+  bool ok = CGAL::write_off("tmp.off", sm_out, CGAL::parameters::all_default());
+  assert(ok);
+  ok = CGAL::read_off("tmp.off", sm_in, CGAL::parameters::all_default());
+  assert(ok);
+  assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
+  sm_in.clear();
+
+  std::ofstream os("tmp.off");
+  ok = CGAL::write_off(os, sm_out, CGAL::parameters::all_default());
+  assert(ok);
+  os.close();
+  std::ifstream is("tmp.off");
+  ok = CGAL::read_off(is, sm_in, CGAL::parameters::all_default());
+  assert(ok);
+  assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
+  is.close();
+  sm_in.clear();
+
+  //vtk
+  os.open("tmp.vtp");
+  ok = CGAL::write_vtp(os, sm_out, CGAL::parameters::all_default());
+  assert(ok);
+  os.close();
+
+  ok = CGAL::read_VTP("tmp.vtp", sm_in, CGAL::parameters::all_default());
+  assert(ok);
+  assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
+  sm_in.clear();
+
+  return EXIT_SUCCESS;
+}

From 49f68654d6ef5b233e762fadb26579d071a07074 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 18 Jan 2021 11:48:04 +0100
Subject: [PATCH 173/317] WIP

---
 BGL/test/BGL/test_deprecated_io.cpp           | 11 ++-
 Point_set_3/test/Point_set_3/CMakeLists.txt   | 15 ++++
 .../Point_set_3/test_deprecated_io_ps.cpp     | 82 +++++++++++++++++++
 .../Point_set_processing_3/CMakeLists.txt     |  2 +
 .../test_deprecated_io_point_set.cpp          | 50 +++++++++++
 .../include/CGAL/IO/VRML/File_writer_VRML_2.h |  5 +-
 6 files changed, 162 insertions(+), 3 deletions(-)
 create mode 100644 Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp
 create mode 100644 Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp

diff --git a/BGL/test/BGL/test_deprecated_io.cpp b/BGL/test/BGL/test_deprecated_io.cpp
index d195299f1f1..b2d48d4c8ca 100644
--- a/BGL/test/BGL/test_deprecated_io.cpp
+++ b/BGL/test/BGL/test_deprecated_io.cpp
@@ -1,11 +1,15 @@
 #include <CGAL/internal/disable_deprecation_warnings_and_errors.h>
-
+#include <fstream>
+#include <iostream>
 #include <CGAL/Surface_mesh.h>
 #include <CGAL/Simple_cartesian.h>
 #include <CGAL/boost/graph/generators.h>
 
 #include <CGAL/boost/graph/IO/OFF.h>
 #include <CGAL/boost/graph/IO/VTK.h>
+#include <CGAL/boost/graph/IO/WRL.h>
+
+
 typedef CGAL::Simple_cartesian<double>         Kernel;
 typedef Kernel::Point_3                        Point_3;
 typedef CGAL::Surface_mesh<Point_3>            SM;
@@ -45,5 +49,10 @@ int main()
   assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
   sm_in.clear();
 
+  //wrl
+  os.open("tmp.wrl");
+  ok = CGAL::write_wrl(os, sm_out, CGAL::parameters::all_default());
+  assert(ok);
+  os.close();
   return EXIT_SUCCESS;
 }
diff --git a/Point_set_3/test/Point_set_3/CMakeLists.txt b/Point_set_3/test/Point_set_3/CMakeLists.txt
index 3fb6595dcea..d6b434e3b60 100644
--- a/Point_set_3/test/Point_set_3/CMakeLists.txt
+++ b/Point_set_3/test/Point_set_3/CMakeLists.txt
@@ -28,3 +28,18 @@ endif()
 
 create_single_source_cgal_program("point_set_test.cpp")
 create_single_source_cgal_program("point_set_test_join.cpp")
+create_single_source_cgal_program("test_deprecated_io_ps.cpp")
+
+#Use LAS
+#disable if MSVC 2017
+if(NOT MSVC_VERSION OR (MSVC_VERSION GREATER_EQUAL 1919 AND  MSVC_VERSION LESS 1910))
+  find_package(LASLIB)
+  include(CGAL_LASLIB_support)
+  if (TARGET CGAL::LASLIB_support)
+    target_link_libraries(test_deprecated_io_ps PUBLIC CGAL::LASLIB_support)
+  else()
+    message(STATUS "NOTICE : the LAS reader test requires LASlib and will not be compiled.")
+  endif()
+else()
+  message(STATUS "NOTICE : the LAS reader does not work with Visual Studio 2017.")
+endif()
diff --git a/Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp b/Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp
new file mode 100644
index 00000000000..6d3a124c357
--- /dev/null
+++ b/Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp
@@ -0,0 +1,82 @@
+#include <CGAL/internal/disable_deprecation_warnings_and_errors.h>
+
+#include <CGAL/Simple_cartesian.h>
+
+#include <CGAL/Point_set_3.h>
+#include <CGAL/Point_set_3/IO/LAS.h>
+#include <CGAL/Point_set_3/IO/OFF.h>
+#include <CGAL/Point_set_3/IO/PLY.h>
+
+#include <iostream>
+#include <fstream>
+
+
+typedef CGAL::Simple_cartesian<double>         Kernel;
+typedef Kernel::Point_3                        Point_3;
+typedef Kernel::Vector_3 Vector_3;
+
+int main()
+{
+  CGAL::Point_set_3<Point_3, Vector_3> ps, ps2;
+  std::ifstream is("data/oni.pwn");
+  std::ofstream os;
+
+  if(!CGAL::read_xyz_point_set(is, ps))
+  {
+    std::cerr<<"Error while reading input."<<std::endl;
+    return EXIT_FAILURE;
+  }
+  is.close();
+
+#ifdef CGAL_LINKED_WITH_LASLIB
+  //LAS
+  os.open("tmp.las", std::ios::binary);
+  bool ok = CGAL::write_las_point_set(os, ps);
+  os.close();
+  assert (ok);
+
+  is.open("tmp.las", std::ios::binary);
+  ok = CGAL::read_las_point_set(is, ps2);
+  is.close();
+  assert(ok);
+  ps2.clear();
+#endif
+
+  //OFF
+  os.open("tmp.off", std::ios::binary);
+  ok = CGAL::write_off_point_set(os, ps);
+  os.close();
+  assert (ok);
+
+  is.open("tmp.off", std::ios::binary);
+  ok = CGAL::read_off_point_set(is, ps2);
+  is.close();
+  assert(ok);
+  ps2.clear();
+
+  //PLY
+  os.open("tmp.ply", std::ios::binary);
+  ok = CGAL::write_ply_point_set(os, ps);
+  os.close();
+  assert (ok);
+
+  is.open("tmp.ply", std::ios::binary);
+  ok = CGAL::read_ply_point_set(is, ps2);
+  is.close();
+  assert(ok);
+  ps2.clear();
+
+  //XYZ
+  os.open("tmp.xyz", std::ios::binary);
+  ok = CGAL::write_xyz_point_set(os, ps);
+  os.close();
+  assert (ok);
+
+  is.open("tmp.xyz", std::ios::binary);
+  ok = CGAL::read_xyz_point_set(is, ps2);
+  is.close();
+  assert(ok);
+  ps2.clear();
+
+  return EXIT_SUCCESS;
+}
diff --git a/Point_set_processing_3/test/Point_set_processing_3/CMakeLists.txt b/Point_set_processing_3/test/Point_set_processing_3/CMakeLists.txt
index f845be04e53..d79e2d91094 100644
--- a/Point_set_processing_3/test/Point_set_processing_3/CMakeLists.txt
+++ b/Point_set_processing_3/test/Point_set_processing_3/CMakeLists.txt
@@ -28,6 +28,7 @@ include(CGAL_TBB_support)
 # Executables that do *not* require Eigen
 create_single_source_cgal_program( "read_test.cpp" )
 create_single_source_cgal_program( "test_read_write_point_set.cpp" )
+create_single_source_cgal_program( "test_deprecated_io_point_set.cpp" )
 create_single_source_cgal_program( "read_test_with_different_pmaps.cpp" )
 create_single_source_cgal_program( "analysis_test.cpp" )
 create_single_source_cgal_program( "remove_outliers_test.cpp" )
@@ -43,6 +44,7 @@ if(NOT MSVC_VERSION OR (MSVC_VERSION GREATER_EQUAL 1919 AND  MSVC_VERSION LESS 1
   include(CGAL_LASLIB_support)
   if (TARGET CGAL::LASLIB_support)
     target_link_libraries(test_read_write_point_set PUBLIC ${CGAL_libs} CGAL::LASLIB_support)
+    target_link_libraries(test_deprecated_io_point_set PUBLIC ${CGAL_libs} CGAL::LASLIB_support)
   else()
     message(STATUS "NOTICE : the LAS reader test requires LASlib and will not be compiled.")
   endif()
diff --git a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
new file mode 100644
index 00000000000..fdba209e918
--- /dev/null
+++ b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
@@ -0,0 +1,50 @@
+//#include <CGAL/internal/disable_deprecation_warnings_and_errors.h>
+
+#include <CGAL/Simple_cartesian.h>
+
+#include <CGAL/Point_set_3.h>
+#include <CGAL/IO/read_points.h>
+#include <CGAL/IO/write_points.h>
+
+// Just to try and create ambiguities
+#include <CGAL/boost/graph/io.h>
+#include <CGAL/IO/io.h>
+
+#include <CGAL/property_map.h>
+
+#include <vector>
+#include <cassert>
+#include <string>
+#include <fstream>
+
+typedef CGAL::Simple_cartesian<double>         Kernel;
+typedef Kernel::Point_3                        Point_3;
+typedef Kernel::Vector_3 Vector_3;
+typedef std::array<unsigned short, 4> Color;
+typedef std::pair<Point_3, Color> PointWithColor;
+typedef CGAL::Nth_of_tuple_property_map<1, PointWithColor> Color_map;
+
+
+int main()
+{
+
+std::vector<PointWithColor> points(3);
+points[0] = std::make_pair(Point_3(1,0,0), Color(255,0,0,255));
+points[1] = std::make_pair(Point_3(0,1,0), Color(0,255,0,255));
+points[2] = std::make_pair(Point_3(0,0,1), Color(0,0,255,255));
+
+
+std::ofstream os;
+std::ifstream is;
+#ifdef CGAL_LINKED_WITH_LASLIB
+os.open("tmp.las", std::ios::binary);
+bool ok = CGAL::write_las_points_with_properties(os, points, std::make_tuple(
+                                                   ),
+                                                 );
+is.open("data/read_test/pig_points.las", std::ios::binary);
+
+
+assert(ok);
+#endif
+
+}
diff --git a/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h b/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
index 48e58fa64ec..86f501a35df 100644
--- a/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
+++ b/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
@@ -28,6 +28,7 @@ namespace CGAL {
 
 class File_writer_VRML_2
 {
+
   VRML_2_ostream m_os;
   std::size_t m_facets;
 
@@ -36,7 +37,7 @@ public:
 
   std::ostream& out() const { return m_os.os(); }
 
-  void write_header(VRML_2_ostream& o,
+  void write_header(std::ostream& o,
                     std::size_t vertices,
                     std::size_t halfedges,
                     std::size_t facets,
@@ -44,7 +45,7 @@ public:
                     const bool /*normals*/ = false,
                     const bool /*textures*/ = false)
   {
-    m_os = o;
+    m_os = VRML_2_ostream(o);
     m_facets = facets;
 
     out() << "        #-- Begin of Polygon Mesh\n";

From 618b409b0fbcef7cb536a4134ae3a424ef5aae45 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 18 Jan 2021 15:40:40 +0100
Subject: [PATCH 174/317] Fix Nef_2 and Nef_S2 IO

---
 Nef_2/include/CGAL/Nef_2/PM_io_parser.h   |  74 ++++++++++++---
 Nef_2/include/CGAL/Nef_polyhedron_2.h     |   2 +
 Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h | 106 ++++++++++++++++------
 3 files changed, 142 insertions(+), 40 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
index 85295f3d85a..9b84dd37fbe 100644
--- a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
+++ b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
@@ -200,6 +200,11 @@ bool PM_io_parser<PMDEC>::read_vertex(Vertex_handle v)
        !(in >> p) ||
        !check_sep("}") ) return false;
 
+  if(!(f >= 0 && ((iso && f < fn) || (!iso && f < en))))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   if (iso) v->set_face(Face_of[f]);
   else     v->set_halfedge(Halfedge_of[f]);
   mark(v) = m; point(v) = p;
@@ -229,10 +234,14 @@ bool PM_io_parser<PMDEC>::read_hedge(Halfedge_handle e)
        !(in >> f) || !check_sep(",") ||
        !(in >> m) || !check_sep("}") )
     return false;
-  CGAL_assertion_msg
-     (eo >= 0 || (std::size_t) eo < en || epr >= 0 || (std::size_t) epr < en || ene >= 0 || (std::size_t) ene < en ||
-      v >= 0 || (std::size_t) v < vn || f >= 0 || (std::size_t) f < fn ,
-      "wrong index in read_hedge");
+
+  if(!(eo >= 0 && (std::size_t) eo < en && epr >= 0 && (std::size_t) epr < en && ene >= 0 && (std::size_t) ene < en &&
+       v >= 0 && (std::size_t) v < vn && f >= 0 && (std::size_t) f < fn ))
+  {
+    in.clear(std::ios_base::badbit);
+    std::cerr<<"wrong index in read_hedge"<<std::endl;
+    return false;
+  }
 
   // precond: objects exist!
   CGAL_assertion(EI[e->opposite()]);
@@ -267,14 +276,32 @@ bool PM_io_parser<PMDEC>::read_face(Face_handle f)
   int n, ei, vi; Mark m;
   if ( !(in >> n) || !check_sep("{") ) return false;
   if ( !(in >> ei) || !check_sep(",") ) return false;
-  if (ei >= 0) f->set_halfedge(Halfedge_of[ei]);
+  if (ei >= 0 && ei < en)
+  {
+    f->set_halfedge(Halfedge_of[ei]);
+  }
+  else
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   while (in >> ei) {
     CGAL_assertion_msg(ei >= 0 && (std::size_t) ei < en, "wrong index in face cycle list.");
+    if (!(ei >= 0 && ei < en))
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     f->store_fc(Halfedge_of[ei]);
   } in.clear();
   if (!check_sep(",")) { return false; }
   while (in >> vi) {
     CGAL_assertion_msg(vi >= 0 && (std::size_t) vi < vn, "wrong index in iso vertex list.");
+    if (!(vi >= 0 && vi < vn))
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     f->store_iv(Vertex_of[vi]);
   } in.clear();
   if (!check_sep(",") || !(in >> m) || !check_sep("}") )
@@ -313,13 +340,26 @@ template <typename PMDEC>
 void PM_io_parser<PMDEC>::read()
 {
   if ( !check_sep("Plane_map_2") )
-    CGAL_error_msg("PM_io_parser::read: no embedded_PM header.");
+  {
+    std::cerr<<"PM_io_parser::read: no embedded_PM header."<<std::endl;
+    return;
+  }
   if ( !(check_sep("vertices") && (in >> vn)) )
-    CGAL_error_msg("PM_io_parser::read: wrong node line.");
+  {
+    std::cerr<<"PM_io_parser::read: wrong node line."<<std::endl;
+    return;
+  }
+
   if ( !(check_sep("halfedges") && (in >> en) && (en%2==0)) )
-    CGAL_error_msg("PM_io_parser::read: wrong edge line.");
+  {
+    std::cerr<<"PM_io_parser::read: wrong edge line."<<std::endl;
+    return;
+  }
   if ( !(check_sep("faces") && (in >> fn)) )
-    CGAL_error_msg("PM_io_parser::read: wrong face line.");
+  {
+    std::cerr<<"PM_io_parser::read: wrong face line."<<std::endl;
+    return;
+  }
 
   Vertex_of.resize(vn);
   Halfedge_of.resize(en);
@@ -333,16 +373,24 @@ void PM_io_parser<PMDEC>::read()
 
   for(i=0; i<vn; i++) {
     if (!read_vertex(Vertex_of[i]))
-      CGAL_error_msg("PM_io_parser::read: error in node line");
+    {
+      std::cerr<<"PM_io_parser::read: error in node line"<<std::endl;
+      return;
+    }
   }
   for(i=0; i<en; i++) {
     if (!read_hedge(Halfedge_of[i]))
-      CGAL_error_msg("PM_io_parser::read: error in halfedge\
-      line");
+    {
+      std::cerr<<"PM_io_parser::read: error in halfedge line"<<std::endl;
+      return;
+    }
   }
   for(i=0; i<fn; i++) {
     if (!read_face(Face_of[i]))
-      CGAL_error_msg("PM_io_parser::read: error in face line");
+    {
+      std::cerr<<"PM_io_parser::read: error in face line"<<std::endl;
+      return;
+    }
   }
 }
 
diff --git a/Nef_2/include/CGAL/Nef_polyhedron_2.h b/Nef_2/include/CGAL/Nef_polyhedron_2.h
index 92c54593386..62aad3e5649 100644
--- a/Nef_2/include/CGAL/Nef_polyhedron_2.h
+++ b/Nef_2/include/CGAL/Nef_polyhedron_2.h
@@ -1112,6 +1112,8 @@ std::istream& operator>>
     std::cerr << "Nef_polyhedron_2 input corrupted." << std::endl;
     NP = Nef_polyhedron_2<T,Items,Mark>();
   }
+  if(!is)
+    return is;
   typename Nef_polyhedron_2<T,Items,Mark>::Topological_explorer D(NP.explorer());
   D.check_integrity_and_topological_planarity();
   return is;
diff --git a/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h b/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
index 7bddd3036d5..631c63dc5dc 100644
--- a/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
+++ b/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
@@ -203,8 +203,14 @@ bool SM_io_parser<Decorator_>::read_vertex(SVertex_handle v)
        !(in >> p) ||
        !check_sep("}") ) return false;
 
-  if (iso) set_face(v,SFace_of[f]);
-  else     set_first_out_edge(v,Edge_of[f]);
+  if(f<0 || (iso && f > fn) || (!iso && f > en))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
+
+  if (iso) this->set_face(v,SFace_of[f]);
+  else     this->set_first_out_edge(v,Edge_of[f]);
   v->mark() = m; v->point() = p;
   return true;
 }
@@ -235,17 +241,21 @@ bool SM_io_parser<Decorator_>::read_edge(SHalfedge_handle e)
        !(in >> m) || !check_sep(",") ||
        !(in >> k) || !check_sep("}") )
     return false;
-  CGAL_assertion_msg
+  if (!
      (eo >= 0 && eo < en && epr >= 0 && epr < en && ene >= 0 && ene < en &&
-      v >= 0 && v < vn && f >= 0 && f < fn ,
-      "wrong index in read_edge");
+      v >= 0 && v < vn && f >= 0 && f < fn ))
+  {
+    std::cerr<<"wrong index in read_edge"<<std::endl;
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
 
   // precond: features exist!
   CGAL_assertion(EI[e->twin()]);
-  set_prev(e,Edge_of[epr]);
-  set_next(e,Edge_of[ene]);
-  set_source(e,SVertex_of[v]);
-  set_face(e,SFace_of[f]);
+  this->set_prev(e,Edge_of[epr]);
+  this->set_next(e,Edge_of[ene]);
+  this->set_source(e,SVertex_of[v]);
+  this->set_face(e,SFace_of[f]);
   e->mark() = m;
   e->circle() = k;
   return true;
@@ -274,7 +284,7 @@ bool SM_io_parser<Decorator_>::read_loop(SHalfloop_handle l)
   CGAL_assertion_msg(
     (lo >= 0 && lo < 2 && f >= 0 && f < fn),"wrong index in read_edge");
 
-  set_face(l,SFace_of[f]);
+  this->set_face(l,SFace_of[f]);
   l->mark() = m;
   l->circle() = k;
   return true;
@@ -303,21 +313,33 @@ bool SM_io_parser<Decorator_>::read_face(SFace_handle f)
   int n, ei, vi, li; Mark m;
   if ( !(in >> n) || !check_sep("{") ) return false;
   while (in >> ei) {
-    CGAL_assertion_msg(ei >= 0 && ei < en,
-                           "wrong index in face cycle list.");
-    store_sm_boundary_object(Edge_of[ei],f);
+    if(!(ei >= 0 && ei < en))
+    {
+      std::cerr<<"wrong index in face cycle list."<<std::endl;
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
+    this->store_sm_boundary_object(Edge_of[ei],f);
   } in.clear();
   if (!check_sep(",")) { return false; }
   while (in >> vi) {
-    CGAL_assertion_msg(vi >= 0 && vi < vn,
-                           "wrong index in iso vertex list.");
-    store_sm_boundary_object(SVertex_of[vi],f);
+    if(!(vi >= 0 && vi < vn))
+    {
+      std::cerr<<"wrong index in iso vertex list."<<std::endl;
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
+    this->store_sm_boundary_object(SVertex_of[vi],f);
   } in.clear();
   if (!check_sep(",")) { return false; }
   while (in >> li) {
-    CGAL_assertion_msg(li >= 0 && li < 2,
-                           "wrong index in iso vertex list.");
-    store_sm_boundary_object(Loop_of[li],f);
+    if(!(li >= 0 && li < 2))
+    {
+      std::cerr<<"wrong index in iso vertex list."<<std::endl;
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
+    this->store_sm_boundary_object(Loop_of[li],f);
   } in.clear();
   if (!check_sep(",") || !(in >> m) || !check_sep("}") )
     return false;
@@ -357,16 +379,36 @@ void SM_io_parser<Decorator_>::print() const
 template <typename Decorator_>
 void SM_io_parser<Decorator_>::read()
 {
+  if ( !check_sep("Nef_polyhedron_S2") )
+  {
+   std::cerr<<"Missing line in header"<<std::endl;
+   return;
+  }
   if ( !check_sep("Sphere_map_2") )
-    CGAL_error_msg("SM_io_parser::read: no embedded_PM header.");
+  {
+   std::cerr<<"SM_io_parser::read: no embedded_PM header."<<std::endl;
+   return;
+  }
   if ( !(check_sep("vertices") && (in >> vn)) )
-    CGAL_error_msg("SM_io_parser::read: wrong vertex line.");
+  {
+   std::cerr<<"SM_io_parser::read: wrong vertex line."<<std::endl;
+   return;
+  }
   if ( !(check_sep("edges") && (in >> en) && (en%2==0)) )
-    CGAL_error_msg("SM_io_parser::read: wrong edge line.");
+  {
+   std::cerr<<"SM_io_parser::read: wrong edge line."<<std::endl;
+   return;
+  }
   if ( !(check_sep("loops") && (in >> ln)) )
-    CGAL_error_msg("SM_io_parser::read: wrong loop line.");
+  {
+   std::cerr<<"SM_io_parser::read: wrong loop line."<<std::endl;
+   return;
+  }
   if ( !(check_sep("faces") && (in >> fn)) )
-    CGAL_error_msg("SM_io_parser::read: wrong face line.");
+  {
+   std::cerr<<"SM_io_parser::read: wrong face line."<<std::endl;
+   return;
+  }
 
   SVertex_of.resize(vn);
   Edge_of.resize(en);
@@ -383,18 +425,28 @@ void SM_io_parser<Decorator_>::read()
 
   for(i=0; i<vn; i++) {
     if (!read_vertex(SVertex_of[i]))
-      CGAL_error_msg("SM_io_parser::read: error in node line");
+    {
+     std::cerr<<"SM_io_parser::read: error in node line"<<std::endl;
+     return;
+    }
   }
   for(i=0; i<en; i++) {
     if (!read_edge(Edge_of[i]))
-      CGAL_error_msg("SM_io_parser::read: error in edge line");
+    {
+     std::cerr<<"SM_io_parser::read: error in edge line"<<std::endl;
+     return;
+    }
+
   }
   if ( ln == 2 ) {
     read_loop(Loop_of[0]); read_loop(Loop_of[1]);
   }
   for(i=0; i<fn; i++) {
     if (!read_face(SFace_of[i]))
-      CGAL_error_msg("SM_io_parser::read: error in face line");
+    {
+     std::cerr<<"SM_io_parser::read: error in face line"<<std::endl;
+     return;
+    }
   }
 }
 

From d257d999fb60f8cb54b315ee3ac33d36fc0a00db Mon Sep 17 00:00:00 2001
From: Simon Giraudot <simon.giraudot@geometryfactory.com>
Date: Mon, 18 Jan 2021 15:45:39 +0100
Subject: [PATCH 175/317] Fix function properties_and_types()

---
 Point_set_3/include/CGAL/Point_set_3.h | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

diff --git a/Point_set_3/include/CGAL/Point_set_3.h b/Point_set_3/include/CGAL/Point_set_3.h
index 7a006c3d10a..0103389b0b6 100644
--- a/Point_set_3/include/CGAL/Point_set_3.h
+++ b/Point_set_3/include/CGAL/Point_set_3.h
@@ -17,6 +17,7 @@
 
 
 #include <stack>
+#include <typeindex>
 
 #include <CGAL/Surface_mesh/Properties.h>
 
@@ -933,15 +934,15 @@ public:
   /*!
     \brief Returns a vector of pairs that describe properties and associated types.
   */
-  std::vector<std::pair<std::string, std::type_info> > properties_and_types() const
+  std::vector<std::pair<std::string, std::type_index> > properties_and_types() const
   {
     std::vector<std::string> prop = m_base.properties();
     prop.erase (prop.begin()); // remove "index"
     prop.erase (prop.begin()); // remove "point"
 
-    std::vector<std::pair<std::string, std::type_info> > out; out.reserve (prop.size());
+    std::vector<std::pair<std::string, std::type_index> > out; out.reserve (prop.size());
     for (std::size_t i = 0; i < prop.size(); ++ i)
-      out.push_back (std::make_pair (prop[i], m_base.get_type(prop[i])));
+      out.push_back (std::make_pair (prop[i], std::type_index(m_base.get_type(prop[i]))));
     return out;
   }
 

From e962498b3ab5826804774a66a169adf7a1c4a1e3 Mon Sep 17 00:00:00 2001
From: Simon Giraudot <simon.giraudot@geometryfactory.com>
Date: Mon, 18 Jan 2021 15:45:51 +0100
Subject: [PATCH 176/317] Add test for properties_and_types()

---
 Point_set_3/test/Point_set_3/point_set_test.cpp | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/Point_set_3/test/Point_set_3/point_set_test.cpp b/Point_set_3/test/Point_set_3/point_set_test.cpp
index 4accb458dfa..3089af3eca1 100644
--- a/Point_set_3/test/Point_set_3/point_set_test.cpp
+++ b/Point_set_3/test/Point_set_3/point_set_test.cpp
@@ -106,6 +106,11 @@ int main (int, char**)
   point_set.add_property_map<int> ("label", 0);
   point_set.add_property_map<double> ("intensity", 0.0);
 
+  auto pnt = point_set.properties_and_types();
+  std::cerr << "Properties = " << std::endl;
+  for (const auto& p : pnt)
+    std::cerr << " * " << p.first << " with type " << p.second.name() << std::endl;
+
   test (point_set.base().n_properties() == 4, "point set should have 4 properties.");
 
   Point p_before = *(point_set.points().begin());

From 168631b069712863a8963fe69fac34fc321f2dcb Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Tue, 19 Jan 2021 09:28:57 +0000
Subject: [PATCH 177/317] fix . to ->

---
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h    | 4 ++--
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h    | 4 ++--
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h    | 4 ++--
 3 files changed, 6 insertions(+), 6 deletions(-)

diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
index 9712a666403..2e37ff476c3 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
@@ -110,8 +110,8 @@ struct Exact_intersect_xy_2 <R,Homogeneous_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = si.source();
-      q2 = si.target();
+      p2 = si->source();
+      q2 = si->target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3 (p2.hx(),p2.hy(),0,p2.hw()),
                                                          Point_3 (q2.hx(),q2.hy(),0,q2.hw())) ));
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
index 9b812d958b7..9959db3355c 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
@@ -109,8 +109,8 @@ struct Exact_intersect_xz_2 <R,Homogeneous_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = si.source();
-      q2 = si.target();
+      p2 = si->source();
+      q2 = si->target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3 (p2.hx(),0,p2.hy(),p2.hw()),
                                                          Point_3 (q2.hx(),0,q2.hy(),q2.hw())) ));
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
index 7180acbf1e8..13710cbebf5 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
@@ -110,8 +110,8 @@ struct Exact_intersect_yz_2 <R,Homogeneous_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = si.source();
-      q2 = si.target();
+      p2 = si->source();
+      q2 = si->target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3 (0,p2.hx(),p2.hy(),p2.hw()),
                                                          Point_3 (0,q2.hx(),q2.hy(),q2.hw())) ));

From 5a1ab45058112f8647c14c02f58905ecc597ec76 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 19 Jan 2021 12:24:08 +0100
Subject: [PATCH 178/317] Fix Nef_3

---
 Nef_3/include/CGAL/Nef_3/SNC_io_parser.h | 195 ++++++++++++++++++++++-
 1 file changed, 188 insertions(+), 7 deletions(-)

diff --git a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
index 5eee7528ee7..04d9d0ac8e8 100644
--- a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
+++ b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
@@ -1444,40 +1444,61 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   typename std::vector<Vertex_iterator>::iterator vi;
   for(vi=Vertex_of.begin(); vi!=Vertex_of.end(); ++vi) {
     if (!read_vertex<K>(*vi))
-      CGAL_error_msg("SNC_io_parser::read: error in node line");
+    {
+      std::cerr<<"SNC_io_parser::read: error in node line"<<std::endl;
+      return;
+    }
   }
 
   typename std::vector<Halfedge_iterator>::iterator ei;
   for(ei=Edge_of.begin(); ei!=Edge_of.end(); ++ei) {
     if (!read_edge<K>(*ei))
-      CGAL_error_msg("SNC_io_parser::read: error in edge line");
+    {
+      std::cerr<<"SNC_io_parser::read: error in edge line"<<std::endl;
+      return;
+    }
   }
 
   typedef typename std::vector<Halffacet_iterator>::iterator vhf_iterator;
   vhf_iterator fi;
   for(fi=Halffacet_of.begin(); fi!=Halffacet_of.end(); ++fi) {
     if (!read_facet<K>(*fi))
-      CGAL_error_msg("SNC_io_parser::read: error in facet line");
+    {
+      std::cerr<<"SNC_io_parser::read: error in facet line"<<std::endl;
+      return;
+    }
   }
   typename std::vector<Volume_iterator>::iterator ci;
   for(ci=Volume_of.begin()+plus01; ci!=Volume_of.end(); ++ci) {
     if (!read_volume(*ci))
-      CGAL_error_msg("SNC_io_parser::read: error in volume line");
+    {
+      std::cerr<<"SNC_io_parser::read: error in volume line"<<std::endl;
+      return;
+    }
   }
   typename std::vector<SHalfedge_iterator>::iterator sei;
   for(sei=SEdge_of.begin(); sei!=SEdge_of.end(); ++sei) {
     if (!read_sedge<K>(*sei))
-      CGAL_error_msg("SNC_io_parser::read: error in sedge line");
+    {
+      std::cerr<<"SNC_io_parser::read: error in sedge line"<<std::endl;
+      return;
+    }
   }
   typename std::vector<SHalfloop_iterator>::iterator sli;
   for(sli=SLoop_of.begin(); sli!=SLoop_of.end(); ++sli) {
     if (!read_sloop<K>(*sli))
-      CGAL_error_msg("SNC_io_parser::read: error in sloop line");
+    {
+      std::cerr<<"SNC_io_parser::read: error in sloop line"<<std::endl;
+      return;
+    }
   }
   typename std::vector<SFace_iterator>::iterator sfi;
   for(sfi=SFace_of.begin(); sfi!=SFace_of.end(); ++sfi) {
     if (!read_sface(*sfi))
-      CGAL_error_msg("SNC_io_parser::read: error in sface line");
+    {
+      std::cerr<<"SNC_io_parser::read: error in sface line"<<std::endl;
+      return;
+    }
   }
 
   SNC_constructor C(*this->sncp());
@@ -1535,21 +1556,56 @@ read_vertex(Vertex_handle vh) {
   vh->sncp() = this->sncp();
 
   in >> index;
+  if(index >= int(en))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   vh->svertices_begin() = (index >= 0 ? Edge_of[index] : this->svertices_end());
   in >> index;
+  if(index >= int(en))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   vh->svertices_last()  = index >= 0 ? Edge_of[index] : this->svertices_end();
   OK = OK && test_string(",");
   in >> index;
+  if(index >= int(sen))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   vh->shalfedges_begin() = index >= 0 ? SEdge_of[index] : this->shalfedges_end();
   in >> index;
+  if(index >= int(sen))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   vh->shalfedges_last()  = index >= 0 ? SEdge_of[index] : this->shalfedges_end();
   OK = OK && test_string(",");
   in >> index;
+  if(index >= int(sfn))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   vh->sfaces_begin() = index >= 0 ? SFace_of[index] : this->sfaces_end();
   in >> index;
+  if(index >= int(sfn))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   vh->sfaces_last()  = index >= 0 ? SFace_of[index] : this->sfaces_end();
   OK = OK && test_string(",");
   in >> index;
+  if(index >= int(sln))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   vh->shalfloop() = index >= 0 ? SLoop_of[index] : this->shalfloops_end();
   OK = OK && test_string("|");
 #ifdef CGAL_NEF_NATURAL_COORDINATE_INPUT
@@ -1604,17 +1660,37 @@ read_edge(Halfedge_handle eh) {
   OK = OK && test_string("{");
 
   in >> index;
+  if(index < 0 || index >= int(en))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   eh->twin() = Edge_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(vn))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   eh->center_vertex() = Vertex_of[index];
   OK = OK && test_string(",");
   in >> index;
   if(index == 0) {
     in >> index;
+    if(index < 0 || index >= int(sen))
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     eh->out_sedge() = SEdge_of[index];
   } else {
     in >> index;
+    if(index < 0 || index >= int(sfn))
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     eh->incident_sface() = SFace_of[index];
   }
   OK = OK && test_string("|");
@@ -1669,6 +1745,11 @@ read_facet(Halffacet_handle fh) {
   OK = OK && test_string("{");
 
   in >> index;
+  if(index < 0 || index >= int(fn))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   fh->twin() = Halffacet_of[index];
   OK = OK && test_string(",");
 
@@ -1676,6 +1757,11 @@ read_facet(Halffacet_handle fh) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
+    if(index < 0 || index >= int(sen))
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     fh->boundary_entry_objects().push_back(make_object(SEdge_of[index]));
     in >> cc;
   }
@@ -1684,11 +1770,21 @@ read_facet(Halffacet_handle fh) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
+    if(index < 0 || index >= int(sln))
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     fh->boundary_entry_objects().push_back(make_object(SLoop_of[index]));
     in >> cc;
   }
 
   in >> index;
+  if(index < 0  || index >= int(vn))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   fh->incident_volume() = Volume_of[index+addInfiBox];
   OK = OK && test_string("|");
 #ifdef CGAL_NEF_NATURAL_COORDINATE_INPUT
@@ -1731,6 +1827,11 @@ read_volume(Volume_handle ch) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
+    if(index < 0 || index >= int(sfn))
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     ch->shell_entry_objects().push_back(make_object(SFace_of[index]));
     in >> cc;
   }
@@ -1781,27 +1882,67 @@ read_sedge(SHalfedge_handle seh) {
   OK = OK && test_string("{");
 
   in >> index;
+  if(index < 0 || index >= int(sen))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->twin() = SEdge_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(sen))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->sprev() = SEdge_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(sen))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->snext() = SEdge_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(en))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->source() = Edge_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(sfn))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->incident_sface() = SFace_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(sen))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->prev() = SEdge_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(sen))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->next() = SEdge_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= int(fn))
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   seh->facet() = Halffacet_of[index];
   OK = OK && test_string("|");
 #ifdef CGAL_NEF_NATURAL_COORDINATE_INPUT
@@ -1852,12 +1993,27 @@ read_sloop(SHalfloop_handle slh) {
   OK = OK && test_string("{");
 
   in >> index;
+  if(index < 0 || index >= sln)
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   slh->twin() = SLoop_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= sfn)
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   slh->incident_sface() = SFace_of[index];
   OK = OK && test_string(",");
   in >> index;
+  if(index < 0 || index >= fn)
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   slh->facet() = Halffacet_of[index];
   OK = OK && test_string("|");
 #ifdef CGAL_NEF_NATURAL_COORDINATE_INPUT
@@ -1904,6 +2060,11 @@ read_sface(SFace_handle sfh) {
   OK = OK && test_string("{");
 
   in >> index;
+  if(index < 0 || index >= vn)
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   sfh->center_vertex() = Vertex_of[index];
   OK = OK && test_string(",");
 
@@ -1913,6 +2074,11 @@ read_sface(SFace_handle sfh) {
     in >> index;
     //    sfh->boundary_entry_objects().push_back(SEdge_of[index]);
     SM_decorator SD(&*sfh->center_vertex());
+    if(index < 0 || index >= sen)
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     SD.link_as_face_cycle(SEdge_of[index],sfh);
     in >> cc;
   }
@@ -1921,6 +2087,11 @@ read_sface(SFace_handle sfh) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
+    if(index < 0 || index >= en)
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     sfh->boundary_entry_objects().push_back(make_object(Edge_of[index]));
     this->sncp()->store_sm_boundary_item(Edge_of[index], --(sfh->sface_cycles_end()));
     in >> cc;
@@ -1930,12 +2101,22 @@ read_sface(SFace_handle sfh) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
+    if(index < 0 || index >= sln)
+    {
+      in.clear(std::ios_base::badbit);
+      return false;
+    }
     sfh->boundary_entry_objects().push_back(make_object(SLoop_of[index]));
     this->sncp()->store_sm_boundary_item(SLoop_of[index], --(sfh->sface_cycles_end()));
     in >> cc;
   }
 
   in >> index;
+  if(index < 0 || index >= vn)
+  {
+    in.clear(std::ios_base::badbit);
+    return false;
+  }
   sfh->volume() = Volume_of[index+addInfiBox];
   OK = OK && test_string("}");
   in >> sfh->mark();

From 3dade2a027fdea0c5770ce5452976c033bc65d45 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Tue, 19 Jan 2021 12:35:05 +0000
Subject: [PATCH 179/317] Remove the flush which is not needed for cerr and put
 parenthesis

---
 Nef_2/include/CGAL/Nef_2/debug.h | 12 +++++-------
 1 file changed, 5 insertions(+), 7 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/debug.h b/Nef_2/include/CGAL/Nef_2/debug.h
index ce77dc610c6..6bd3d00a76a 100644
--- a/Nef_2/include/CGAL/Nef_2/debug.h
+++ b/Nef_2/include/CGAL/Nef_2/debug.h
@@ -43,35 +43,33 @@
 
 #ifndef NDEBUG
 #define CGAL_NEF_TRACE(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
- std::cerr<<" "<<t; \
- std::cerr.flush()
+    { std::cerr<<" "<<t; }
 #else
 #define CGAL_NEF_TRACE(t)
 #endif
 
 #ifndef NDEBUG
 #define CGAL_NEF_TRACEV(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
- std::cerr<<" "<<#t<<" = "<<(t)<<std::endl; \
- std::cerr.flush()
+    { std::cerr<<" "<<#t<<" = "<<(t)<<std::endl; }
 #else
 #define CGAL_NEF_TRACEV(t)
 #endif
 
 #ifndef NDEBUG
 #define CGAL_NEF_TRACEN(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
- std::cerr<< " "<<t<<std::endl;
+    { std::cerr<< " "<<t<<std::endl; }
 #else
 #define CGAL_NEF_TRACEN(t)
 #endif
 
 #ifndef NDEBUG
-#define CGAL_NEF_CTRACE(b,t) if(b) std::cerr<<" "<<t; else std::cerr<<" 0"
+#define CGAL_NEF_CTRACE(b,t) if(b) {std::cerr<<" "<<t;} else {std::cerr<<" 0"}
 #else
 #define CGAL_NEF_CTRACE(b,t)
 #endif
 
 #ifndef NDEBUG
-#define CGAL_NEF_CTRACEN(b,t) if(b) std::cerr<<" "<<t<<"\n"; else std::cerr<<" 0\n"
+#define CGAL_NEF_CTRACEN(b,t) if(b){ std::cerr<<" "<<t<<"\n";} else {std::cerr<<" 0\n"}
 #else
 #define CGAL_NEF_CTRACEN(b,t)
 #endif

From 9e291e6bbfe23137fb2dd3a0f8d6461229ca2376 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 19 Jan 2021 14:04:54 +0100
Subject: [PATCH 180/317] replace cerr by CGAL_warning_msg

---
 Nef_2/include/CGAL/Nef_2/PM_io_parser.h   | 14 +++---
 Nef_3/include/CGAL/Nef_3/SNC_io_parser.h  | 53 ++++++++++++++++-------
 Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h | 18 ++++----
 3 files changed, 54 insertions(+), 31 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
index 9b84dd37fbe..52bc830e115 100644
--- a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
+++ b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
@@ -341,23 +341,23 @@ void PM_io_parser<PMDEC>::read()
 {
   if ( !check_sep("Plane_map_2") )
   {
-    std::cerr<<"PM_io_parser::read: no embedded_PM header."<<std::endl;
+    CGAL_warning_msg(false, "PM_io_parser::read: no embedded_PM header.");
     return;
   }
   if ( !(check_sep("vertices") && (in >> vn)) )
   {
-    std::cerr<<"PM_io_parser::read: wrong node line."<<std::endl;
+    CGAL_warning_msg(false, "PM_io_parser::read: wrong node line.");
     return;
   }
 
   if ( !(check_sep("halfedges") && (in >> en) && (en%2==0)) )
   {
-    std::cerr<<"PM_io_parser::read: wrong edge line."<<std::endl;
+    CGAL_warning_msg(false, "PM_io_parser::read: wrong edge line.");
     return;
   }
   if ( !(check_sep("faces") && (in >> fn)) )
   {
-    std::cerr<<"PM_io_parser::read: wrong face line."<<std::endl;
+    CGAL_warning_msg(false, "PM_io_parser::read: wrong face line.");
     return;
   }
 
@@ -374,21 +374,21 @@ void PM_io_parser<PMDEC>::read()
   for(i=0; i<vn; i++) {
     if (!read_vertex(Vertex_of[i]))
     {
-      std::cerr<<"PM_io_parser::read: error in node line"<<std::endl;
+      CGAL_warning_msg(false, "PM_io_parser::read: error in node line");
       return;
     }
   }
   for(i=0; i<en; i++) {
     if (!read_hedge(Halfedge_of[i]))
     {
-      std::cerr<<"PM_io_parser::read: error in halfedge line"<<std::endl;
+      CGAL_warning_msg(false, "PM_io_parser::read: error in halfedge line");
       return;
     }
   }
   for(i=0; i<fn; i++) {
     if (!read_face(Face_of[i]))
     {
-      std::cerr<<"PM_io_parser::read: error in face line"<<std::endl;
+      CGAL_warning_msg(false, "PM_io_parser::read: error in face line");
       return;
     }
   }
diff --git a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
index 04d9d0ac8e8..21c54dd4133 100644
--- a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
+++ b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
@@ -1400,24 +1400,47 @@ template <typename EW>
 void SNC_io_parser<EW>::read()
 {
   if ( !check_sep("Selective Nef Complex") )
-    CGAL_error_msg("SNC_io_parser::read: no SNC header.");
+  {
+    CGAL_warning_msg(false, "SNC_io_parser::read: no SNC header.");
+    returnl
+  }
   std::string kernel_type;
   in >> kernel_type;
   CGAL_assertion(kernel_type == "standard" || kernel_type == "extended");
   if ( !(check_sep("vertices") && (in >> vn)) )
-    CGAL_error_msg("SNC_io_parser::read: wrong vertex line.");
+  {
+    CGAL_warning_msg(false, "SNC_io_parser::read: wrong vertex line.");
+    return;
+  }
   if ( !(check_sep("halfedges") && (in >> en) && (en%2==0)) )
-    CGAL_error_msg("SNC_io_parser::read: wrong edge line.");
+  {
+    CGAL_warning_msg(false, "SNC_io_parser::read: wrong edge line.");
+    return;
+  }
   if ( !(check_sep("facets") && (in >> fn) && (fn%2==0)) )
-    CGAL_error_msg("SNC_io_parser::read: wrong facet line.");
+  {
+    CGAL_warning_msg(false, "SNC_io_parser::read: wrong facet line.");
+  }
   if ( !(check_sep("volumes") && (in >> cn)) )
-    CGAL_error_msg("SNC_io_parser::read: wrong volume line.");
+  {
+    CGAL_warning_msg(false, "SNC_io_parser::read: wrong volume line.");
+    return;
+  }
   if ( !(check_sep("shalfedges") && (in >> sen)) )
-    CGAL_error_msg("SNC_io_parser::read: wrong sedge line.");
+  {
+   CGAL_warning_msg(false, "SNC_io_parser::read: wrong sedge line.");
+   return;
+  }
   if ( !(check_sep("shalfloops") && (in >> sln)) )
-    CGAL_error_msg("SNC_io_parser::read: wrong sloop line.");
+  {
+    CGAL_warning_msg(false, "SNC_io_parser::read: wrong sloop line.");
+    return;
+  }
   if ( !(check_sep("sfaces") && (in >> sfn)) )
-    CGAL_error_msg("SNC_io_parser::read: wrong sface line.");
+  {
+    CGAL_warning_msg(false, "SNC_io_parser::read: wrong sface line.");
+    return;
+  }
 
   addInfiBox = (kernel_type == "standard" && Infi_box::extended_kernel());
 
@@ -1445,7 +1468,7 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   for(vi=Vertex_of.begin(); vi!=Vertex_of.end(); ++vi) {
     if (!read_vertex<K>(*vi))
     {
-      std::cerr<<"SNC_io_parser::read: error in node line"<<std::endl;
+      CGAL_warning_msg(false, "SNC_io_parser::read: error in node line");
       return;
     }
   }
@@ -1454,7 +1477,7 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   for(ei=Edge_of.begin(); ei!=Edge_of.end(); ++ei) {
     if (!read_edge<K>(*ei))
     {
-      std::cerr<<"SNC_io_parser::read: error in edge line"<<std::endl;
+      CGAL_warning_msg(false, "SNC_io_parser::read: error in edge line");
       return;
     }
   }
@@ -1464,7 +1487,7 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   for(fi=Halffacet_of.begin(); fi!=Halffacet_of.end(); ++fi) {
     if (!read_facet<K>(*fi))
     {
-      std::cerr<<"SNC_io_parser::read: error in facet line"<<std::endl;
+      CGAL_warning_msg(false, "SNC_io_parser::read: error in facet line");
       return;
     }
   }
@@ -1472,7 +1495,7 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   for(ci=Volume_of.begin()+plus01; ci!=Volume_of.end(); ++ci) {
     if (!read_volume(*ci))
     {
-      std::cerr<<"SNC_io_parser::read: error in volume line"<<std::endl;
+      CGAL_warning_msg(false, "SNC_io_parser::read: error in volume line");
       return;
     }
   }
@@ -1480,7 +1503,7 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   for(sei=SEdge_of.begin(); sei!=SEdge_of.end(); ++sei) {
     if (!read_sedge<K>(*sei))
     {
-      std::cerr<<"SNC_io_parser::read: error in sedge line"<<std::endl;
+      CGAL_warning_msg(false, "SNC_io_parser::read: error in sedge line");
       return;
     }
   }
@@ -1488,7 +1511,7 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   for(sli=SLoop_of.begin(); sli!=SLoop_of.end(); ++sli) {
     if (!read_sloop<K>(*sli))
     {
-      std::cerr<<"SNC_io_parser::read: error in sloop line"<<std::endl;
+      CGAL_warning_msg(false, "SNC_io_parser::read: error in sloop line");
       return;
     }
   }
@@ -1496,7 +1519,7 @@ void SNC_io_parser<EW>::read_items(int plus01) {
   for(sfi=SFace_of.begin(); sfi!=SFace_of.end(); ++sfi) {
     if (!read_sface(*sfi))
     {
-      std::cerr<<"SNC_io_parser::read: error in sface line"<<std::endl;
+      CGAL_warning_msg(false, "SNC_io_parser::read: error in sface line");
       return;
     }
   }
diff --git a/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h b/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
index 631c63dc5dc..a9377719f93 100644
--- a/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
+++ b/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
@@ -381,32 +381,32 @@ void SM_io_parser<Decorator_>::read()
 {
   if ( !check_sep("Nef_polyhedron_S2") )
   {
-   std::cerr<<"Missing line in header"<<std::endl;
+   CGAL_warning_msg(false, "Missing line in header");
    return;
   }
   if ( !check_sep("Sphere_map_2") )
   {
-   std::cerr<<"SM_io_parser::read: no embedded_PM header."<<std::endl;
+   CGAL_warning_msg(false, "SM_io_parser::read: no embedded_PM header.");
    return;
   }
   if ( !(check_sep("vertices") && (in >> vn)) )
   {
-   std::cerr<<"SM_io_parser::read: wrong vertex line."<<std::endl;
+   CGAL_warning_msg(false, "SM_io_parser::read: wrong vertex line.");
    return;
   }
   if ( !(check_sep("edges") && (in >> en) && (en%2==0)) )
   {
-   std::cerr<<"SM_io_parser::read: wrong edge line."<<std::endl;
+   CGAL_warning_msg(false, "SM_io_parser::read: wrong edge line.");
    return;
   }
   if ( !(check_sep("loops") && (in >> ln)) )
   {
-   std::cerr<<"SM_io_parser::read: wrong loop line."<<std::endl;
+   CGAL_warning_msg(false, "SM_io_parser::read: wrong loop line.");
    return;
   }
   if ( !(check_sep("faces") && (in >> fn)) )
   {
-   std::cerr<<"SM_io_parser::read: wrong face line."<<std::endl;
+   CGAL_warning_msg(false, "SM_io_parser::read: wrong face line.");
    return;
   }
 
@@ -426,14 +426,14 @@ void SM_io_parser<Decorator_>::read()
   for(i=0; i<vn; i++) {
     if (!read_vertex(SVertex_of[i]))
     {
-     std::cerr<<"SM_io_parser::read: error in node line"<<std::endl;
+     CGAL_warning_msg(false, "SM_io_parser::read: error in node line");
      return;
     }
   }
   for(i=0; i<en; i++) {
     if (!read_edge(Edge_of[i]))
     {
-     std::cerr<<"SM_io_parser::read: error in edge line"<<std::endl;
+     CGAL_warning_msg(false, "SM_io_parser::read: error in edge line");
      return;
     }
 
@@ -444,7 +444,7 @@ void SM_io_parser<Decorator_>::read()
   for(i=0; i<fn; i++) {
     if (!read_face(SFace_of[i]))
     {
-     std::cerr<<"SM_io_parser::read: error in face line"<<std::endl;
+     CGAL_warning_msg(false, "SM_io_parser::read: error in face line");
      return;
     }
   }

From 0d2e685244c7ec546729dbd5c0ab6c77f9b9122d Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 19 Jan 2021 15:10:57 +0100
Subject: [PATCH 181/317] LAS and PLY with properties

---
 .../test_deprecated_io_point_set.cpp          | 103 ++++++++++++++++--
 1 file changed, 94 insertions(+), 9 deletions(-)

diff --git a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
index fdba209e918..84fc487c2ce 100644
--- a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
+++ b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
@@ -1,4 +1,4 @@
-//#include <CGAL/internal/disable_deprecation_warnings_and_errors.h>
+#include <CGAL/internal/disable_deprecation_warnings_and_errors.h>
 
 #include <CGAL/Simple_cartesian.h>
 
@@ -24,27 +24,112 @@ typedef std::array<unsigned short, 4> Color;
 typedef std::pair<Point_3, Color> PointWithColor;
 typedef CGAL::Nth_of_tuple_property_map<1, PointWithColor> Color_map;
 
+struct GetRedMap{
+  typedef PointWithColor key_type;
+  typedef unsigned short value_type;
+  typedef const value_type& reference;
+  typedef boost::lvalue_property_map_tag category;
+};
+unsigned short get(const GetRedMap&, const PointWithColor& p)
+{
+  return p.second[0];
+}
+
+struct GetGreenMap{
+  typedef PointWithColor key_type;
+  typedef unsigned short value_type;
+  typedef const value_type& reference;
+  typedef boost::lvalue_property_map_tag category;
+};
+unsigned short get(const GetGreenMap&, const PointWithColor& p)
+{
+  return p.second[1];
+}
+
+struct GetBlueMap{
+  typedef PointWithColor key_type;
+  typedef unsigned short value_type;
+  typedef const value_type& reference;
+  typedef boost::lvalue_property_map_tag category;
+};
+unsigned short get(const GetBlueMap&, const PointWithColor& p)
+{
+  return p.second[3];
+}
+
+struct GetAlphaMap{
+  typedef PointWithColor key_type;
+  typedef unsigned short value_type;
+  typedef const value_type& reference;
+  typedef boost::lvalue_property_map_tag category;
+};
+unsigned short get(const GetAlphaMap&, const PointWithColor& p)
+{
+  return p.second[4];
+}
 
 int main()
 {
 
 std::vector<PointWithColor> points(3);
-points[0] = std::make_pair(Point_3(1,0,0), Color(255,0,0,255));
-points[1] = std::make_pair(Point_3(0,1,0), Color(0,255,0,255));
-points[2] = std::make_pair(Point_3(0,0,1), Color(0,0,255,255));
+points[0] = std::make_pair(Point_3(1,0,0), Color{255,0,0,255});
+points[1] = std::make_pair(Point_3(0,1,0), Color{0,255,0,255});
+points[2] = std::make_pair(Point_3(0,0,1), Color{0,0,255,255});
 
 
 std::ofstream os;
 std::ifstream is;
+bool ok;
 #ifdef CGAL_LINKED_WITH_LASLIB
 os.open("tmp.las", std::ios::binary);
-bool ok = CGAL::write_las_points_with_properties(os, points, std::make_tuple(
-                                                   ),
+ok = CGAL::write_las_points_with_properties(os, points,
+                                                 CGAL::make_las_point_writer(CGAL::First_of_pair_property_map<PointWithColor>()),
+                                                 std::make_pair(GetRedMap(),CGAL::LAS_property::R()),
+                                                 std::make_pair(GetGreenMap(), CGAL::LAS_property::G()),
+                                                 std::make_pair(GetBlueMap(), CGAL::LAS_property::B()),
+                                                 std::make_pair(GetAlphaMap(), CGAL::LAS_property::I())
                                                  );
-is.open("data/read_test/pig_points.las", std::ios::binary);
-
-
+os.close();
 assert(ok);
+points.clear();
+is.open("tmp.las", std::ios::binary);
+ok = CGAL::read_las_points_with_properties(is, std::back_inserter (points),
+                                    CGAL::make_las_point_reader(CGAL::First_of_pair_property_map<PointWithColor>()),
+                                    std::make_tuple(CGAL::Second_of_pair_property_map<PointWithColor>(),
+                                                    CGAL::Construct_array(),
+                                                    CGAL::LAS_property::R(),
+                                                    CGAL::LAS_property::G(),
+                                                    CGAL::LAS_property::B(),
+                                                    CGAL::LAS_property::I()));
+is.close();
+assert(ok);
+assert(points.size() == 3);
+assert(points[1].second[1] == 255);
 #endif
 
+os.open("tmp.ply");
+ok = CGAL::write_ply_points_with_properties(os, points,
+                                            CGAL::make_ply_point_writer (CGAL::First_of_pair_property_map<PointWithColor>()),
+                                            std::make_pair(GetRedMap(),CGAL::PLY_property<unsigned short>("red")),
+                                            std::make_pair(GetGreenMap(), CGAL::PLY_property<unsigned short>("green")),
+                                            std::make_pair(GetBlueMap(), CGAL::PLY_property<unsigned short>("blue")),
+                                            std::make_pair(GetAlphaMap(), CGAL::PLY_property<unsigned short>("alpha"))
+                                            );
+os.close();
+assert(ok);
+
+is.open("tmp.ply");
+points.clear();
+ok = CGAL::read_ply_points_with_properties(is, std::back_inserter (points),
+                                    CGAL::make_ply_point_reader(CGAL::First_of_pair_property_map<PointWithColor>()),
+                                    std::make_tuple(CGAL::Second_of_pair_property_map<PointWithColor>(),
+                                                    CGAL::Construct_array(),
+                                                    CGAL::PLY_property<unsigned short>("red"),
+                                                    CGAL::PLY_property<unsigned short>("green"),
+                                                    CGAL::PLY_property<unsigned short>("blue"),
+                                                    CGAL::PLY_property<unsigned short>("alpha")));
+assert(ok);
+assert(points.size() == 3);
+assert(points[1].second[1] == 255);
+
 }

From 2e592e0027b2d85680273425161581655f4677fd Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 20 Jan 2021 08:38:33 +0100
Subject: [PATCH 182/317] Fix typo and use setstate

---
 Nef_2/include/CGAL/Nef_2/PM_io_parser.h   | 10 ++--
 Nef_3/include/CGAL/Nef_3/SNC_io_parser.h  | 66 +++++++++++------------
 Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h | 10 ++--
 3 files changed, 43 insertions(+), 43 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
index 52bc830e115..64a3e94916e 100644
--- a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
+++ b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
@@ -202,7 +202,7 @@ bool PM_io_parser<PMDEC>::read_vertex(Vertex_handle v)
 
   if(!(f >= 0 && ((iso && f < fn) || (!iso && f < en))))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   if (iso) v->set_face(Face_of[f]);
@@ -238,7 +238,7 @@ bool PM_io_parser<PMDEC>::read_hedge(Halfedge_handle e)
   if(!(eo >= 0 && (std::size_t) eo < en && epr >= 0 && (std::size_t) epr < en && ene >= 0 && (std::size_t) ene < en &&
        v >= 0 && (std::size_t) v < vn && f >= 0 && (std::size_t) f < fn ))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     std::cerr<<"wrong index in read_hedge"<<std::endl;
     return false;
   }
@@ -282,14 +282,14 @@ bool PM_io_parser<PMDEC>::read_face(Face_handle f)
   }
   else
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   while (in >> ei) {
     CGAL_assertion_msg(ei >= 0 && (std::size_t) ei < en, "wrong index in face cycle list.");
     if (!(ei >= 0 && ei < en))
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     f->store_fc(Halfedge_of[ei]);
@@ -299,7 +299,7 @@ bool PM_io_parser<PMDEC>::read_face(Face_handle f)
     CGAL_assertion_msg(vi >= 0 && (std::size_t) vi < vn, "wrong index in iso vertex list.");
     if (!(vi >= 0 && vi < vn))
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     f->store_iv(Vertex_of[vi]);
diff --git a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
index 21c54dd4133..e5530445153 100644
--- a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
+++ b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
@@ -1402,7 +1402,7 @@ void SNC_io_parser<EW>::read()
   if ( !check_sep("Selective Nef Complex") )
   {
     CGAL_warning_msg(false, "SNC_io_parser::read: no SNC header.");
-    returnl
+    return;
   }
   std::string kernel_type;
   in >> kernel_type;
@@ -1581,14 +1581,14 @@ read_vertex(Vertex_handle vh) {
   in >> index;
   if(index >= int(en))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   vh->svertices_begin() = (index >= 0 ? Edge_of[index] : this->svertices_end());
   in >> index;
   if(index >= int(en))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   vh->svertices_last()  = index >= 0 ? Edge_of[index] : this->svertices_end();
@@ -1596,14 +1596,14 @@ read_vertex(Vertex_handle vh) {
   in >> index;
   if(index >= int(sen))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   vh->shalfedges_begin() = index >= 0 ? SEdge_of[index] : this->shalfedges_end();
   in >> index;
   if(index >= int(sen))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   vh->shalfedges_last()  = index >= 0 ? SEdge_of[index] : this->shalfedges_end();
@@ -1611,14 +1611,14 @@ read_vertex(Vertex_handle vh) {
   in >> index;
   if(index >= int(sfn))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   vh->sfaces_begin() = index >= 0 ? SFace_of[index] : this->sfaces_end();
   in >> index;
   if(index >= int(sfn))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   vh->sfaces_last()  = index >= 0 ? SFace_of[index] : this->sfaces_end();
@@ -1626,7 +1626,7 @@ read_vertex(Vertex_handle vh) {
   in >> index;
   if(index >= int(sln))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   vh->shalfloop() = index >= 0 ? SLoop_of[index] : this->shalfloops_end();
@@ -1685,7 +1685,7 @@ read_edge(Halfedge_handle eh) {
   in >> index;
   if(index < 0 || index >= int(en))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   eh->twin() = Edge_of[index];
@@ -1693,7 +1693,7 @@ read_edge(Halfedge_handle eh) {
   in >> index;
   if(index < 0 || index >= int(vn))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   eh->center_vertex() = Vertex_of[index];
@@ -1703,7 +1703,7 @@ read_edge(Halfedge_handle eh) {
     in >> index;
     if(index < 0 || index >= int(sen))
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     eh->out_sedge() = SEdge_of[index];
@@ -1711,7 +1711,7 @@ read_edge(Halfedge_handle eh) {
     in >> index;
     if(index < 0 || index >= int(sfn))
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     eh->incident_sface() = SFace_of[index];
@@ -1770,7 +1770,7 @@ read_facet(Halffacet_handle fh) {
   in >> index;
   if(index < 0 || index >= int(fn))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   fh->twin() = Halffacet_of[index];
@@ -1782,7 +1782,7 @@ read_facet(Halffacet_handle fh) {
     in >> index;
     if(index < 0 || index >= int(sen))
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     fh->boundary_entry_objects().push_back(make_object(SEdge_of[index]));
@@ -1795,7 +1795,7 @@ read_facet(Halffacet_handle fh) {
     in >> index;
     if(index < 0 || index >= int(sln))
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     fh->boundary_entry_objects().push_back(make_object(SLoop_of[index]));
@@ -1805,7 +1805,7 @@ read_facet(Halffacet_handle fh) {
   in >> index;
   if(index < 0  || index >= int(vn))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   fh->incident_volume() = Volume_of[index+addInfiBox];
@@ -1852,7 +1852,7 @@ read_volume(Volume_handle ch) {
     in >> index;
     if(index < 0 || index >= int(sfn))
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     ch->shell_entry_objects().push_back(make_object(SFace_of[index]));
@@ -1907,7 +1907,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(sen))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->twin() = SEdge_of[index];
@@ -1915,7 +1915,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(sen))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->sprev() = SEdge_of[index];
@@ -1923,7 +1923,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(sen))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->snext() = SEdge_of[index];
@@ -1931,7 +1931,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(en))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->source() = Edge_of[index];
@@ -1939,7 +1939,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(sfn))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->incident_sface() = SFace_of[index];
@@ -1947,7 +1947,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(sen))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->prev() = SEdge_of[index];
@@ -1955,7 +1955,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(sen))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->next() = SEdge_of[index];
@@ -1963,7 +1963,7 @@ read_sedge(SHalfedge_handle seh) {
   in >> index;
   if(index < 0 || index >= int(fn))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   seh->facet() = Halffacet_of[index];
@@ -2018,7 +2018,7 @@ read_sloop(SHalfloop_handle slh) {
   in >> index;
   if(index < 0 || index >= sln)
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   slh->twin() = SLoop_of[index];
@@ -2026,7 +2026,7 @@ read_sloop(SHalfloop_handle slh) {
   in >> index;
   if(index < 0 || index >= sfn)
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   slh->incident_sface() = SFace_of[index];
@@ -2034,7 +2034,7 @@ read_sloop(SHalfloop_handle slh) {
   in >> index;
   if(index < 0 || index >= fn)
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   slh->facet() = Halffacet_of[index];
@@ -2085,7 +2085,7 @@ read_sface(SFace_handle sfh) {
   in >> index;
   if(index < 0 || index >= vn)
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   sfh->center_vertex() = Vertex_of[index];
@@ -2099,7 +2099,7 @@ read_sface(SFace_handle sfh) {
     SM_decorator SD(&*sfh->center_vertex());
     if(index < 0 || index >= sen)
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     SD.link_as_face_cycle(SEdge_of[index],sfh);
@@ -2112,7 +2112,7 @@ read_sface(SFace_handle sfh) {
     in >> index;
     if(index < 0 || index >= en)
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     sfh->boundary_entry_objects().push_back(make_object(Edge_of[index]));
@@ -2126,7 +2126,7 @@ read_sface(SFace_handle sfh) {
     in >> index;
     if(index < 0 || index >= sln)
     {
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     sfh->boundary_entry_objects().push_back(make_object(SLoop_of[index]));
@@ -2137,7 +2137,7 @@ read_sface(SFace_handle sfh) {
   in >> index;
   if(index < 0 || index >= vn)
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
   sfh->volume() = Volume_of[index+addInfiBox];
diff --git a/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h b/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
index a9377719f93..d58126bac9c 100644
--- a/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
+++ b/Nef_S2/include/CGAL/Nef_S2/SM_io_parser.h
@@ -205,7 +205,7 @@ bool SM_io_parser<Decorator_>::read_vertex(SVertex_handle v)
 
   if(f<0 || (iso && f > fn) || (!iso && f > en))
   {
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
 
@@ -246,7 +246,7 @@ bool SM_io_parser<Decorator_>::read_edge(SHalfedge_handle e)
       v >= 0 && v < vn && f >= 0 && f < fn ))
   {
     std::cerr<<"wrong index in read_edge"<<std::endl;
-    in.clear(std::ios_base::badbit);
+    in.setstate(std::ios_base::badbit);
     return false;
   }
 
@@ -316,7 +316,7 @@ bool SM_io_parser<Decorator_>::read_face(SFace_handle f)
     if(!(ei >= 0 && ei < en))
     {
       std::cerr<<"wrong index in face cycle list."<<std::endl;
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     this->store_sm_boundary_object(Edge_of[ei],f);
@@ -326,7 +326,7 @@ bool SM_io_parser<Decorator_>::read_face(SFace_handle f)
     if(!(vi >= 0 && vi < vn))
     {
       std::cerr<<"wrong index in iso vertex list."<<std::endl;
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     this->store_sm_boundary_object(SVertex_of[vi],f);
@@ -336,7 +336,7 @@ bool SM_io_parser<Decorator_>::read_face(SFace_handle f)
     if(!(li >= 0 && li < 2))
     {
       std::cerr<<"wrong index in iso vertex list."<<std::endl;
-      in.clear(std::ios_base::badbit);
+      in.setstate(std::ios_base::badbit);
       return false;
     }
     this->store_sm_boundary_object(Loop_of[li],f);

From 54db0c04d1aebfc00284c3be832ac4c368393e27 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 20 Jan 2021 09:51:56 +0100
Subject: [PATCH 183/317] FInish

---
 .../test_deprecated_io_point_set.cpp          | 60 +++++++++++++++-
 .../include/CGAL/Surface_mesh/IO/PLY.h        |  4 +-
 Surface_mesh/test/Surface_mesh/CMakeLists.txt | 13 ++++
 .../Surface_mesh/test_deprecated_io_sm.cpp    | 70 +++++++++++++++++++
 4 files changed, 144 insertions(+), 3 deletions(-)
 create mode 100644 Surface_mesh/test/Surface_mesh/test_deprecated_io_sm.cpp

diff --git a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
index 84fc487c2ce..cc55bce3918 100644
--- a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
+++ b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
@@ -80,6 +80,7 @@ points[2] = std::make_pair(Point_3(0,0,1), Color{0,0,255,255});
 std::ofstream os;
 std::ifstream is;
 bool ok;
+//LAS
 #ifdef CGAL_LINKED_WITH_LASLIB
 os.open("tmp.las", std::ios::binary);
 ok = CGAL::write_las_points_with_properties(os, points,
@@ -105,8 +106,24 @@ is.close();
 assert(ok);
 assert(points.size() == 3);
 assert(points[1].second[1] == 255);
-#endif
 
+std::vector<Point_3> ps;
+ps.push_back(Point_3(1,0,0));
+ps.push_back(Point_3(0,1,0));
+ps.push_back(Point_3(0,0,1));
+
+os.open("tmp.las", std::ios_base::binary);
+CGAL::write_las_points(os, ps, CGAL::parameters::all_default());
+os.close();
+assert(ok);
+ps.clear();
+is.open("tmp.las", std::ios::binary);
+ok = CGAL::read_las_points(is, std::back_inserter (ps),CGAL::parameters::all_default());
+is.close();
+assert(ok);
+assert(ps.size() == 3);
+#endif
+//PLY
 os.open("tmp.ply");
 ok = CGAL::write_ply_points_with_properties(os, points,
                                             CGAL::make_ply_point_writer (CGAL::First_of_pair_property_map<PointWithColor>()),
@@ -128,8 +145,49 @@ ok = CGAL::read_ply_points_with_properties(is, std::back_inserter (points),
                                                     CGAL::PLY_property<unsigned short>("green"),
                                                     CGAL::PLY_property<unsigned short>("blue"),
                                                     CGAL::PLY_property<unsigned short>("alpha")));
+is.close();
 assert(ok);
 assert(points.size() == 3);
 assert(points[1].second[1] == 255);
 
+os.open("tmp.ply");
+ok = CGAL::write_ply_points(os, ps, CGAL::parameters::all_default());
+os.close();
+assert(ok);
+
+is.open("tmp.ply");
+ps.clear();
+ok = CGAL::read_ply_points(is, std::back_inserter (ps),
+                           CGAL::parameters::all_default());
+is.close();
+assert(ok);
+assert(ps.size() == 3);
+
+//OFF
+os.open("tmp.off");
+ok = CGAL::write_off_points(os, ps, CGAL::parameters::all_default());
+os.close();
+assert(ok);
+
+is.open("tmp.off");
+ps.clear();
+ok = CGAL::read_off_points(is, std::back_inserter (ps),
+                           CGAL::parameters::all_default());
+is.close();
+assert(ok);
+assert(ps.size() == 3);
+
+//XYZ
+os.open("tmp.xyz");
+ok = CGAL::write_xyz_points(os, ps, CGAL::parameters::all_default());
+os.close();
+assert(ok);
+
+is.open("tmp.xyz");
+ps.clear();
+ok = CGAL::read_xyz_points(is, std::back_inserter (ps),
+                           CGAL::parameters::all_default());
+is.close();
+assert(ok);
+assert(ps.size() == 3);
 }
diff --git a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
index 3e82506fe8a..dea71e4478e 100644
--- a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
+++ b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
@@ -1136,9 +1136,9 @@ bool write_PLY(std::ostream& os, const Surface_mesh<P>& sm)
 */
 
 template <typename P>
-CGAL_DEPRECATED bool write_ply(std::istream& is, Surface_mesh<P>& sm, std::string& comments)
+CGAL_DEPRECATED bool write_ply(std::ostream& os, Surface_mesh<P>& sm, std::string& comments)
 {
-  return write_PLY(is, sm, comments);
+  return write_PLY(os, sm, comments);
 }
 
 #endif // CGAL_NO_DEPRECATED_CODE
diff --git a/Surface_mesh/test/Surface_mesh/CMakeLists.txt b/Surface_mesh/test/Surface_mesh/CMakeLists.txt
index 81a2d0ae980..6527c9bb721 100644
--- a/Surface_mesh/test/Surface_mesh/CMakeLists.txt
+++ b/Surface_mesh/test/Surface_mesh/CMakeLists.txt
@@ -14,3 +14,16 @@ file(
 foreach(cppfile ${cppfiles})
   create_single_source_cgal_program("${cppfile}")
 endforeach()
+
+find_path(3MF_INCLUDE_DIR
+  NAMES Model/COM/NMR_DLLInterfaces.h
+  DOC "Path to lib3MF headers"
+  )
+find_library(3MF_LIBRARIES NAMES 3MF DOC "Path to the lib3MF library")
+if(3MF_LIBRARIES AND 3MF_INCLUDE_DIR  AND EXISTS "${3MF_INCLUDE_DIR}/Model/COM/NMR_DLLInterfaces.h")
+  include_directories(${3MF_INCLUDE_DIR})
+  target_link_libraries(test_deprecated_io_sm PRIVATE ${3MF_LIBRARIES})
+  target_compile_definitions(test_deprecated_io_sm PRIVATE -DCGAL_LINKED_WITH_3MF)
+else()
+  message(STATUS "NOTICE : read_3mf requires the lib3MF library, and will not be tested.")
+endif()
diff --git a/Surface_mesh/test/Surface_mesh/test_deprecated_io_sm.cpp b/Surface_mesh/test/Surface_mesh/test_deprecated_io_sm.cpp
new file mode 100644
index 00000000000..8607ccba9d7
--- /dev/null
+++ b/Surface_mesh/test/Surface_mesh/test_deprecated_io_sm.cpp
@@ -0,0 +1,70 @@
+#include <CGAL/internal/disable_deprecation_warnings_and_errors.h>
+#include <fstream>
+#include <iostream>
+#include <CGAL/Surface_mesh.h>
+#include <CGAL/Simple_cartesian.h>
+#include <CGAL/boost/graph/generators.h>
+#include <CGAL/Surface_mesh/IO/3MF.h>
+#include <CGAL/Surface_mesh/IO/OFF.h>
+#include <CGAL/Surface_mesh/IO/PLY.h>
+
+
+typedef CGAL::Simple_cartesian<double>         Kernel;
+typedef Kernel::Point_3                        Point_3;
+typedef CGAL::Surface_mesh<Point_3>            SM;
+
+int main()
+{
+  // OFF
+  SM sm_in, sm_out;
+  Point_3 p0(0,0,0), p1(1,0,0), p2(0,1,0);
+  CGAL::make_triangle(p0, p1, p2, sm_out);
+  bool ok = CGAL::write_off(sm_out, "tmp.off");
+  assert(ok);
+  ok = CGAL::read_off(sm_in, "tmp.off");
+  assert(ok);
+  assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
+  sm_in.clear();
+
+  std::ofstream os("tmp.off");
+  ok = CGAL::write_off(os, sm_out);
+  assert(ok);
+  os.close();
+  std::ifstream is("tmp.off");
+  ok = CGAL::read_off(is, sm_in);
+  assert(ok);
+  assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
+  is.close();
+  sm_in.clear();
+
+  //PLY
+  os.open("tmp.ply");
+  std::string comments;
+  ok = CGAL::write_ply(os, sm_out, comments);
+  assert(ok);
+  os.close();
+  is.open("tmp.ply");
+  ok = CGAL::read_ply(is, sm_in, comments);
+  assert(ok);
+  assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
+  is.close();
+  sm_in.clear();
+
+#ifdef CGAL_LINKED_WITH_3MF
+  // 3mf
+  std::vector<SM> output_3mf;
+  ok = CGAL::read_3mf("test.3mf", output_3mf);
+  assert(ok);
+  assert(output_3mf.size() == 2);
+  sm_in.clear();
+#endif
+
+  //others
+  ok = CGAL::write_mesh(sm_out, "tmp.off");
+  assert(ok);
+  ok = CGAL::read_mesh(sm_in, "tmp.ply");
+  assert(ok);
+  assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
+  sm_in.clear();
+  return EXIT_SUCCESS;
+}

From 78a13fbd03e3495b4f13c9e54e95c5e0f9b31332 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 20 Jan 2021 09:53:35 +0100
Subject: [PATCH 184/317] add missing test file

---
 Surface_mesh/test/Surface_mesh/test.3mf | Bin 0 -> 2183 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 Surface_mesh/test/Surface_mesh/test.3mf

diff --git a/Surface_mesh/test/Surface_mesh/test.3mf b/Surface_mesh/test/Surface_mesh/test.3mf
new file mode 100644
index 0000000000000000000000000000000000000000..8e8d5e004f271af203da698010b667da1bff1e62
GIT binary patch
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From ac875956a182e651cb9063e071f77e661b27d81f Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Wed, 20 Jan 2021 15:04:32 +0100
Subject: [PATCH 185/317] Fix examples/Mesh_3/mesh_implicit_domains.cpp

The error was actually due to an mismatch between `CGAL_LINKED_WITH_TBB`
and `CGAL_CONCURRENT_MESH_3`.

For CGAL-5.3 we should clean that up! That code using `Parallel_tag`
without TBB should not compile, actually.

Fix for https://github.com/CGAL/cgal/issues/5375
---
 Mesh_3/examples/Mesh_3/CMakeLists.txt | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Mesh_3/examples/Mesh_3/CMakeLists.txt b/Mesh_3/examples/Mesh_3/CMakeLists.txt
index 9683e4ed57a..37237d2a170 100644
--- a/Mesh_3/examples/Mesh_3/CMakeLists.txt
+++ b/Mesh_3/examples/Mesh_3/CMakeLists.txt
@@ -173,6 +173,7 @@ if(CGAL_ACTIVATE_CONCURRENT_MESH_3 AND TARGET CGAL::TBB_support)
     mesh_3D_image_variable_size
     mesh_3D_image_with_custom_initialization
     mesh_3D_image_with_features
+    mesh_implicit_domains
     mesh_implicit_sphere
     mesh_implicit_sphere_variable_size
     mesh_optimization_example

From 6fe18d8068897c786ab28f086fbc341084a8b32a Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Wed, 20 Jan 2021 15:32:23 +0100
Subject: [PATCH 186/317] Enhance the debugging tools in Mesh_3

---
 Mesh_3/include/CGAL/Mesh_3/Refine_cells_3.h   |  2 +-
 .../CGAL/Mesh_3/mesh_standard_cell_criteria.h |  6 ++---
 .../CGAL/Meshes/Double_map_container.h        | 25 ++++++++++++++++---
 3 files changed, 25 insertions(+), 8 deletions(-)

diff --git a/Mesh_3/include/CGAL/Mesh_3/Refine_cells_3.h b/Mesh_3/include/CGAL/Mesh_3/Refine_cells_3.h
index b7d7e050735..7392d5667a9 100644
--- a/Mesh_3/include/CGAL/Mesh_3/Refine_cells_3.h
+++ b/Mesh_3/include/CGAL/Mesh_3/Refine_cells_3.h
@@ -470,7 +470,7 @@ public:
   std::string debug_info_element_impl(const Cell_handle &ch) const
   {
     std::stringstream sstr;
-    sstr << "Cell { " << std::endl
+    sstr << "Cell " << (void*)(ch.operator->()) << " { " << std::endl
     << "  " << *ch->vertex(0) << std::endl
     << "  " << *ch->vertex(1) << std::endl
     << "  " << *ch->vertex(2) << std::endl
diff --git a/Mesh_3/include/CGAL/Mesh_3/mesh_standard_cell_criteria.h b/Mesh_3/include/CGAL/Mesh_3/mesh_standard_cell_criteria.h
index ec867659a93..fad4622b24d 100644
--- a/Mesh_3/include/CGAL/Mesh_3/mesh_standard_cell_criteria.h
+++ b/Mesh_3/include/CGAL/Mesh_3/mesh_standard_cell_criteria.h
@@ -104,7 +104,7 @@ protected:
     if ( size > min_sq_length*sq_radius_edge_bound_  )
     {
 #ifdef CGAL_MESH_3_DEBUG_CELL_CRITERIA
-      std::cerr << "bad cell (radius-edge bound): radius-edge["
+      std::cerr << "bad cell " << (void*)(ch.operator->()) << " (radius-edge bound): radius-edge["
                 << size/min_sq_length << "] bound[" << sq_radius_edge_bound_
                 << "]\n" ;
 #endif
@@ -185,7 +185,7 @@ protected:
     if ( size > sq_radius_bound_ )
     {
 #ifdef CGAL_MESH_3_DEBUG_CELL_CRITERIA
-      std::cerr << "bad cell (radius bound): size[" << size
+      std::cerr << "bad cell " << (void*)(ch.operator->()) << " (radius bound): size[" << size
                 << "] bound[" << sq_radius_bound_ << "]\n" ;
 #endif
       return Is_bad(Quality(sq_radius_bound_/size));
@@ -262,7 +262,7 @@ protected:
     if ( size > sq_bound )
     {
 #ifdef CGAL_MESH_3_DEBUG_CELL_CRITERIA
-      std::cerr << "bad cell (radius bound): size[" << size
+      std::cerr << "bad cell " << (void*)(ch.operator->()) << " (radius bound): size[" << size
       << "] bound[" << sq_bound << "]\n" ;
 #endif
       return Is_bad(Quality(sq_bound/size));
diff --git a/Mesher_level/include/CGAL/Meshes/Double_map_container.h b/Mesher_level/include/CGAL/Meshes/Double_map_container.h
index 074cd5f0091..cc4c7bbface 100644
--- a/Mesher_level/include/CGAL/Meshes/Double_map_container.h
+++ b/Mesher_level/include/CGAL/Meshes/Double_map_container.h
@@ -42,12 +42,25 @@ namespace CGAL {
         return m.empty();
       }
 
+#if CGAL_MESHES_DEBUG_DOUBLE_MAP
+      template <typename Element_type>
+      std::ostream& debug_element(std::ostream& os, const Element_type& e) {
+        return os << (void*)(e.operator->());
+      }
+
+      template <typename Cell_handle>
+      std::ostream& debug_element(std::ostream& os, const std::pair<Cell_handle, int>& e) {
+        return os << "Facet{" << (void*)(e.first.operator->()) << ", " << e.second << "}";
+      }
+#endif
+
       Element get_next_element_impl()
       {
         CGAL_assertion(!m.empty());
 #if CGAL_MESHES_DEBUG_DOUBLE_MAP
-        std::cerr << "get_next_element_impl(" << &*(m.front()->second)
-                  << ")\n";
+        std::cerr << "get_next_element_impl(";
+        debug_element(std::cerr, m.front()->second);
+        std::cerr << ")\n";
 #endif
         return m.front()->second;
 
@@ -56,7 +69,9 @@ namespace CGAL {
       void add_bad_element(const Element& e, const Quality& q)
       {
 #if CGAL_MESHES_DEBUG_DOUBLE_MAP
-        std::cerr << "add_bad_element(" << &*e << ")\n";
+        std::cerr << "add_bad_element(";
+        debug_element(std::cerr, e);
+        std::cerr << ")\n";
 #endif
         m.insert(e, q);
       }
@@ -69,7 +84,9 @@ namespace CGAL {
       void remove_element(const Element& e)
       {
 #if CGAL_MESHES_DEBUG_DOUBLE_MAP
-        std::cerr << "remove_element(" << &*e << ")\n";
+        std::cerr << "remove_element(";
+        debug_element(std::cerr, e);
+        std::cerr << ")\n";
 #endif
         m.erase(e);
       }

From 4ef0295891345bd6dea8007dc00b7496f02bdeb8 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 20 Jan 2021 15:53:52 +0100
Subject: [PATCH 187/317] typo

---
 .../include/CGAL/Polygon_mesh_processing/manifoldness.h         | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/manifoldness.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/manifoldness.h
index d818c4c4915..a17c265c3c0 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/manifoldness.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/manifoldness.h
@@ -284,7 +284,7 @@ std::size_t make_umbrella_manifold(typename boost::graph_traits<PolygonMesh>::ha
 
 /// \ingroup PMP_repairing_grp
 /// collects the non-manifold vertices (if any) present in the mesh. A non-manifold vertex `v` is returned
-/// via one incident halfedge `h` such that `target(h, pm) = v` for all the umbrellas that `v` apppears in
+/// via one incident halfedge `h` such that `target(h, pm) = v` for all the umbrellas that `v` appears in
 /// (an <i>umbrella</i> being the set of faces incident to all the halfedges reachable by walking around `v`
 /// using `hnext = prev(opposite(h, pm), pm)`, starting from `h`).
 ///

From 5ea5e93f4543dc688a3e54c43699dc208fe4ef8c Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Wed, 20 Jan 2021 15:17:41 +0000
Subject: [PATCH 188/317] Fix warning

---
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h    | 4 ++--
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h    | 4 ++--
 .../CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h    | 4 ++--
 3 files changed, 6 insertions(+), 6 deletions(-)

diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
index 2e37ff476c3..99b71db68a1 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xy_3.h
@@ -63,8 +63,8 @@ struct Exact_intersect_xy_2 <R,Cartesian_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = s2.source();
-      q2 = s2.target();
+      p2 = si->source();
+      q2 = si->target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3(p2.x(),p2.y(),0),
                                                          Point_3(q2.x(),q2.y(),0) ) ));
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
index 9959db3355c..7d77eaae669 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_xz_3.h
@@ -62,8 +62,8 @@ struct Exact_intersect_xz_2 <R,Cartesian_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = s2.source();
-      q2 = s2.target();
+      p2 = si->source();
+      q2 = si->target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3(p2.x(),0,p2.y()),
                                                          Point_3(q2.x(),0,q2.y()) ) ));
diff --git a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
index 13710cbebf5..a98b74fd144 100644
--- a/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
+++ b/Nef_3/include/CGAL/Nef_3/Exact_triangulation_euclidean_traits_yz_3.h
@@ -63,8 +63,8 @@ struct Exact_intersect_yz_2 <R,Cartesian_tag>
       }
 
       const Segment_2* si = boost::get<Segment_2>(&*obj);
-      p2 = s2.source();
-      q2 = s2.target();
+      p2 = si->source();
+      q2 = si->target();
 
       return boost::make_optional(variant_type(Segment_3(Point_3(0,p2.x(),p2.y()),
                                                          Point_3(0,q2.x(),q2.y()) ) ));

From 361598fe8fbad0532619d08d72a495e73dd4c3e0 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Wed, 20 Jan 2021 15:39:50 +0000
Subject: [PATCH 189/317] Cherry-picked 581ba10 (Thank you Giles)

---
 Nef_2/include/CGAL/Nef_2/debug.h | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/debug.h b/Nef_2/include/CGAL/Nef_2/debug.h
index 6bd3d00a76a..a8581420761 100644
--- a/Nef_2/include/CGAL/Nef_2/debug.h
+++ b/Nef_2/include/CGAL/Nef_2/debug.h
@@ -45,33 +45,33 @@
 #define CGAL_NEF_TRACE(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
     { std::cerr<<" "<<t; }
 #else
-#define CGAL_NEF_TRACE(t)
+#define CGAL_NEF_TRACE(t) (static_cast<void>(0))
 #endif
 
 #ifndef NDEBUG
 #define CGAL_NEF_TRACEV(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
     { std::cerr<<" "<<#t<<" = "<<(t)<<std::endl; }
 #else
-#define CGAL_NEF_TRACEV(t)
+#define CGAL_NEF_TRACEV(t) (static_cast<void>(0))
 #endif
 
 #ifndef NDEBUG
 #define CGAL_NEF_TRACEN(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
     { std::cerr<< " "<<t<<std::endl; }
 #else
-#define CGAL_NEF_TRACEN(t)
+#define CGAL_NEF_TRACEN(t) (static_cast<void>(0))
 #endif
 
 #ifndef NDEBUG
 #define CGAL_NEF_CTRACE(b,t) if(b) {std::cerr<<" "<<t;} else {std::cerr<<" 0"}
 #else
-#define CGAL_NEF_CTRACE(b,t)
+#define CGAL_NEF_CTRACE(b,t) (static_cast<void>(0))
 #endif
 
 #ifndef NDEBUG
 #define CGAL_NEF_CTRACEN(b,t) if(b){ std::cerr<<" "<<t<<"\n";} else {std::cerr<<" 0\n"}
 #else
-#define CGAL_NEF_CTRACEN(b,t)
+#define CGAL_NEF_CTRACEN(b,t) (static_cast<void>(0))
 #endif
 
 #endif // CGAL_NEF_2_DEBUG_H

From fbecff56922cae8f445ccc1f3cbac99492fd940b Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Wed, 20 Jan 2021 16:06:32 +0000
Subject: [PATCH 190/317] Use CGAL::cpp98::random_shuffle()

---
 .../Segment_Delaunay_graph_2/include/CGAL/Constraints_loader.h | 3 ++-
 .../include/CGAL/Constraints_loader.h                          | 3 ++-
 2 files changed, 4 insertions(+), 2 deletions(-)

diff --git a/GraphicsView/demo/Segment_Delaunay_graph_2/include/CGAL/Constraints_loader.h b/GraphicsView/demo/Segment_Delaunay_graph_2/include/CGAL/Constraints_loader.h
index 1a3a2f3621f..66899ca4237 100644
--- a/GraphicsView/demo/Segment_Delaunay_graph_2/include/CGAL/Constraints_loader.h
+++ b/GraphicsView/demo/Segment_Delaunay_graph_2/include/CGAL/Constraints_loader.h
@@ -3,6 +3,7 @@
 
 #include <CGAL/config.h>
 #include <CGAL/Bbox_2.h>
+#include <CGAL/algorithm.h>
 #include <CGAL/Timer.h>
 #include <vector>
 #include <utility>
@@ -96,7 +97,7 @@ class Constraints_loader {
     for(Points_iterator it = points.begin(); it != points.end(); ++it) {
       indices.push_back(it);
     }
-    std::random_shuffle(indices.begin(), indices.end());
+    CGAL::cpp98::random_shuffle(indices.begin(), indices.end());
     CGAL::spatial_sort(indices.begin(), indices.end(),
                        sort_traits);
 
diff --git a/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/include/CGAL/Constraints_loader.h b/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/include/CGAL/Constraints_loader.h
index 1a3a2f3621f..66899ca4237 100644
--- a/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/include/CGAL/Constraints_loader.h
+++ b/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/include/CGAL/Constraints_loader.h
@@ -3,6 +3,7 @@
 
 #include <CGAL/config.h>
 #include <CGAL/Bbox_2.h>
+#include <CGAL/algorithm.h>
 #include <CGAL/Timer.h>
 #include <vector>
 #include <utility>
@@ -96,7 +97,7 @@ class Constraints_loader {
     for(Points_iterator it = points.begin(); it != points.end(); ++it) {
       indices.push_back(it);
     }
-    std::random_shuffle(indices.begin(), indices.end());
+    CGAL::cpp98::random_shuffle(indices.begin(), indices.end());
     CGAL::spatial_sort(indices.begin(), indices.end(),
                        sort_traits);
 

From dfc613c342437c641bf75e40744a5f586b0a6fbd Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 21 Jan 2021 10:22:51 +0100
Subject: [PATCH 191/317] Add missing makeCurrent()

---
 Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.h               | 1 +
 Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp       | 8 ++++++++
 Circular_kernel_3/demo/Circular_kernel_3/Viewer.h         | 1 +
 .../demo/Periodic_3_triangulation_3/Scene.h               | 1 +
 Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Viewer.h | 1 +
 Polyhedron/demo/Polyhedron/Viewer.cpp                     | 1 +
 6 files changed, 13 insertions(+)

diff --git a/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.h b/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.h
index ff19159d837..289ae385c1e 100644
--- a/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.h
+++ b/Alpha_shapes_3/demo/Alpha_shapes_3/Viewer.h
@@ -21,6 +21,7 @@ public:
   Viewer(QWidget* parent);
   ~Viewer()
   {
+    makeCurrent();
     buffers[0].destroy();
     buffers[1].destroy();
     buffers[2].destroy();
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
index 69901dbbd1c..aa5a06c1354 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
+++ b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
@@ -11,6 +11,14 @@ Viewer::Viewer(QWidget* parent )
 {
     extension_is_found = false;
 }
+Viewer::~Viewer()
+{
+  makeCurrent();
+  for(int i=0; i<3; ++i)
+    vao[i].destroy();
+  for(int i=0; i<9; ++i)
+    buffers[i].destroy();
+}
 
 void Viewer::compile_shaders()
 {
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.h b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.h
index ea178e756a0..cad037ce2c8 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.h
+++ b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.h
@@ -13,6 +13,7 @@ class Viewer : public CGAL::QGLViewer
 {
 public:
     Viewer(QWidget* parent = 0);
+    ~Viewer();
   GLuint dl_nb;
 protected :
   virtual void draw();
diff --git a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/Scene.h b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/Scene.h
index 41d4311ebe8..32f3926c802 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/Scene.h
+++ b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/Scene.h
@@ -76,6 +76,7 @@ public:
   }
 
   ~Scene() {
+    ui->viewer->makeCurrent();
     for(int i=0; i<24; i++)
         buffers[i].destroy();
     for(int i=0; i<12; i++)
diff --git a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Viewer.h b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Viewer.h
index 1ea4397cf4c..7ba3534a6d2 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Viewer.h
+++ b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/Viewer.h
@@ -27,6 +27,7 @@ public:
   {}
   ~Viewer()
   {
+    makeCurrent();
    for(int i=0; i<4; i++)
    {
     buffers[i].destroy();
diff --git a/Polyhedron/demo/Polyhedron/Viewer.cpp b/Polyhedron/demo/Polyhedron/Viewer.cpp
index 95ede4b08db..67106261b3e 100644
--- a/Polyhedron/demo/Polyhedron/Viewer.cpp
+++ b/Polyhedron/demo/Polyhedron/Viewer.cpp
@@ -374,6 +374,7 @@ Viewer::Viewer(QWidget* parent,
 
 Viewer::~Viewer()
 {
+  makeCurrent();
     QSettings viewer_settings;
     viewer_settings.setValue("cam_pos",
                              QString("%1,%2,%3")

From a91d63699fc82831b002e98f5421573ceb69453f Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 21 Jan 2021 11:06:01 +0100
Subject: [PATCH 192/317] Fix PCA demo and remove debug warnings

---
 AABB_tree/demo/AABB_tree/MainWindow.cpp                |  1 +
 GraphicsView/include/CGAL/Qt/qglviewer_impl.h          | 10 ----------
 .../demo/Principal_component_analysis/MainWindow.cpp   |  1 +
 .../demo/Principal_component_analysis/Scene.cpp        |  1 +
 4 files changed, 3 insertions(+), 10 deletions(-)

diff --git a/AABB_tree/demo/AABB_tree/MainWindow.cpp b/AABB_tree/demo/AABB_tree/MainWindow.cpp
index c5d00c638bb..78a8336f076 100644
--- a/AABB_tree/demo/AABB_tree/MainWindow.cpp
+++ b/AABB_tree/demo/AABB_tree/MainWindow.cpp
@@ -45,6 +45,7 @@ MainWindow::MainWindow(QWidget* parent)
 
 MainWindow::~MainWindow()
 {
+  m_pViewer->makeCurrent();
   delete ui;
 }
 
diff --git a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
index b097030d1ea..5e6ab9dae8a 100644
--- a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
+++ b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
@@ -216,16 +216,6 @@ void CGAL::QGLViewer::initializeGL() {
          || QCoreApplication::arguments().contains(QStringLiteral("--old")))
 
     {
-      format.setDepthBufferSize(24);
-      format.setStencilBufferSize(8);
-      format.setVersion(2,0);
-      format.setRenderableType(QSurfaceFormat::OpenGLES);
-      format.setSamples(0);
-      format.setOption(QSurfaceFormat::DebugContext);
-      QSurfaceFormat::setDefaultFormat(format);
-
-      needNewContext();
-      qDebug()<<"GL 4.3 context initialization failed. ";
       is_ogl_4_3 = false;
     }
     else
diff --git a/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp b/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp
index 0676b175517..13dde23e2a2 100644
--- a/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp
+++ b/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp
@@ -48,6 +48,7 @@ MainWindow::MainWindow(QWidget* parent)
 
 MainWindow::~MainWindow()
 {
+        m_pViewer->makeCurrent();
         delete ui;
 }
 
diff --git a/Principal_component_analysis/demo/Principal_component_analysis/Scene.cpp b/Principal_component_analysis/demo/Principal_component_analysis/Scene.cpp
index e75392cb62d..a4c60dd0a54 100644
--- a/Principal_component_analysis/demo/Principal_component_analysis/Scene.cpp
+++ b/Principal_component_analysis/demo/Principal_component_analysis/Scene.cpp
@@ -28,6 +28,7 @@ Scene::Scene()
 
 Scene::~Scene()
 {
+
     delete m_pPolyhedron;
 }
 

From e0dd8bd74a5b53f7c8c04992df1495e0b9aadeb7 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Thu, 21 Jan 2021 15:23:57 +0100
Subject: [PATCH 193/317] Update AdaptationTraits_2.h

Add namespace
---
 .../doc/Voronoi_diagram_2/Concepts/AdaptationTraits_2.h         | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Voronoi_diagram_2/doc/Voronoi_diagram_2/Concepts/AdaptationTraits_2.h b/Voronoi_diagram_2/doc/Voronoi_diagram_2/Concepts/AdaptationTraits_2.h
index 24e544b3412..4cc31a5b14c 100644
--- a/Voronoi_diagram_2/doc/Voronoi_diagram_2/Concepts/AdaptationTraits_2.h
+++ b/Voronoi_diagram_2/doc/Voronoi_diagram_2/Concepts/AdaptationTraits_2.h
@@ -5,7 +5,7 @@
 
 The concept `AdaptationTraits_2` defines the functors required for
 accessing geometric information in the Delaunay graph that is needed by the
-`Voronoi_diagram_2<DG,AT,AP>` class.
+`CGAL::Voronoi_diagram_2<DG,AT,AP>` class.
 It optionally defines a functor for performing nearest site queries. A
 tag is provided for determining whether this functor is defined or not.
 

From 556764d6385109df857b2609845dcdd2d84583cc Mon Sep 17 00:00:00 2001
From: Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
Date: Fri, 22 Jan 2021 09:52:53 +0100
Subject: [PATCH 194/317] Add copy constructor to remove a warning
 (implicitly-declared is deprecated [-Wdeprecated-copy])

---
 .../internal/Path_on_surface_with_rle.h             | 13 +++++++++++++
 1 file changed, 13 insertions(+)

diff --git a/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h b/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h
index a8e984fd348..398479cf176 100644
--- a/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h
+++ b/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h
@@ -81,6 +81,8 @@ public:
 
   Light_MQ(const Local_map& m): m_map(m)
   {}
+  Light_MQ(const Light_MQ& lmq): m_map(lmq.m_map)
+  {}
 
   const Local_map& get_local_map() const
   { return m_map; }
@@ -141,6 +143,17 @@ public:
   #endif //CGAL_PWRLE_TURN_V2
   {}
 
+  Path_on_surface_with_rle(const Self& apath): m_MQ(apath.m_MQ),
+                                               m_path(apath.m_path),
+                                               m_is_closed(apath.m_is_closed),
+                                               m_length(apath.m_length),
+                                               m_use_only_positive(apath.m_use_only_positive),
+                                               m_use_only_negative(apath.m_use_only_negative)
+#ifdef CGAL_PWRLE_TURN_V2
+                                             , m_darts_ids(apath.m_darts_ids)
+#endif //CGAL_PWRLE_TURN_V2
+  {}
+
   /// Creates a Path_on_surface_with_rle from a Path_on_surface.
   /// If use_only_positive, consider only positive flats and not negative ones.
   /// If use_only_negative, consider only negative flats and not positive ones.

From 15a323e3fa6c3813e8f09a5f1e5229fea599dcfa Mon Sep 17 00:00:00 2001
From: Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
Date: Fri, 22 Jan 2021 17:48:08 +0100
Subject: [PATCH 195/317] Use default for copy constructors

---
 .../internal/Path_on_surface_with_rle.h            | 14 ++------------
 1 file changed, 2 insertions(+), 12 deletions(-)

diff --git a/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h b/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h
index 398479cf176..6b2ad7c3495 100644
--- a/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h
+++ b/Surface_mesh_topology/include/CGAL/Surface_mesh_topology/internal/Path_on_surface_with_rle.h
@@ -81,8 +81,7 @@ public:
 
   Light_MQ(const Local_map& m): m_map(m)
   {}
-  Light_MQ(const Light_MQ& lmq): m_map(lmq.m_map)
-  {}
+  Light_MQ(const Light_MQ&) = default;
 
   const Local_map& get_local_map() const
   { return m_map; }
@@ -143,16 +142,7 @@ public:
   #endif //CGAL_PWRLE_TURN_V2
   {}
 
-  Path_on_surface_with_rle(const Self& apath): m_MQ(apath.m_MQ),
-                                               m_path(apath.m_path),
-                                               m_is_closed(apath.m_is_closed),
-                                               m_length(apath.m_length),
-                                               m_use_only_positive(apath.m_use_only_positive),
-                                               m_use_only_negative(apath.m_use_only_negative)
-#ifdef CGAL_PWRLE_TURN_V2
-                                             , m_darts_ids(apath.m_darts_ids)
-#endif //CGAL_PWRLE_TURN_V2
-  {}
+  Path_on_surface_with_rle(const Self&) = default;
 
   /// Creates a Path_on_surface_with_rle from a Path_on_surface.
   /// If use_only_positive, consider only positive flats and not negative ones.

From 0b4620ffd091187f71760e6a707c9a0265212312 Mon Sep 17 00:00:00 2001
From: magritte <magritte@magrittes-Mac-mini.local>
Date: Fri, 22 Jan 2021 16:22:24 +0100
Subject: [PATCH 196/317] Fix script for ctest testsuite

---
 .../autotest_cgal_with_ctest                  | 30 +++++++++++++++++--
 1 file changed, 28 insertions(+), 2 deletions(-)

diff --git a/Scripts/developer_scripts/autotest_cgal_with_ctest b/Scripts/developer_scripts/autotest_cgal_with_ctest
index 3cfe83b02c0..5049e1d0db9 100755
--- a/Scripts/developer_scripts/autotest_cgal_with_ctest
+++ b/Scripts/developer_scripts/autotest_cgal_with_ctest
@@ -24,7 +24,7 @@ export GUNZIP="gunzip"
 export COMPRESSOR="gzip"
 export CONSOLE_OUTPUT="y"
 export CGAL_HOME=`pwd`
-export USE_TARGZ="n"
+export USE_TARGZ="y"
 export USE_TARBZ="n"
 export CGAL_RELEASE=""
 export LOGS_DIR=""
@@ -35,6 +35,15 @@ export INSTALLATION_DIR=""
 export TESTSUITE_DIR=""
 USE_LATEST_UNZIPPED=""
 
+# ----------------------------------------------------------------------------------------
+# produce a string containing the actual date/time
+#  (used to identify files)
+# ----------------------------------------------------------------------------------------
+datestr()
+{
+  date +%d%m%Y%H%M
+}
+
 # ----------------------------------------------------------------------------------------
 # Logging functions
 # ----------------------------------------------------------------------------------------
@@ -61,7 +70,24 @@ log_done()
   printf "\n-------------------------------------------------------\n" >> "${1}"
 }
 
-
+error()
+{
+  if [ -n "${CONSOLE_OUTPUT}" ]; then
+      printf "\nERROR: ${*}, exiting.\n" >&2
+  fi
+  printf "\nERROR: ${*}, exiting.\n" >> "${ACTUAL_LOGFILE}"
+  ${COMPRESSOR} -9f "${ACTUAL_LOGFILE}"
+  FILENAME="${CGAL_RELEASE_ID}-log`datestr`.gz"
+  mv "${ACTUAL_LOGFILE}.gz" "${LOGS_DIR}/${FILENAME}"
+  if [ ! "${MAIL_ADDRESS}" = "must_be_set_in_.autocgalrc" ]; then
+    for i in ${MAIL_ADDRESS}; do
+      printf "ERROR\n${LOGS_DIR}/${FILENAME}\n" | \
+          ${SENDMAIL} -s "completed autotest" "${i}"
+    done
+  fi
+  rm -rf "$LOCK_FILE";
+  exit 1
+}
 
 # ----------------------------------------------------------------------------------------
 # Downloads the file "LATEST" whose contents indicates which release to test

From 490e8845e50539b10a1762908ddcd190abe486bb Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 25 Jan 2021 11:36:21 +0100
Subject: [PATCH 197/317] Fix after merge in master.

---
 CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt | 4 ++++
 1 file changed, 4 insertions(+)

diff --git a/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt b/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt
index 238e333c399..680189f0227 100644
--- a/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt
+++ b/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt
@@ -140,6 +140,10 @@ if(IPE_FOUND AND IPE_VERSION)
   add_to_cached_list(CGAL_EXECUTABLE_TARGETS simple_triangulation)
   target_link_libraries(simple_triangulation CGAL::Eigen3_support
                         ${IPE_LIBRARIES})
+  target_include_directories(simple_triangulation BEFORE PRIVATE ${IPE_INCLUDE_DIR})
+  if (WITH_IPE_7)
+      target_compile_definitions(simple_triangulation PRIVATE CGAL_USE_IPE_7)
+    endif()
   cgal_add_compilation_test(simple_triangulation)
 
 else()

From ffa019712b0ad3b20e3d02edad4d731fda04a2ef Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 25 Jan 2021 12:59:48 +0100
Subject: [PATCH 198/317] First face may be -1, don't fail on it, just don't
 use it

---
 Nef_2/include/CGAL/Nef_2/PM_io_parser.h | 6 +-----
 1 file changed, 1 insertion(+), 5 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
index 64a3e94916e..d08b08180d6 100644
--- a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
+++ b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
@@ -280,11 +280,7 @@ bool PM_io_parser<PMDEC>::read_face(Face_handle f)
   {
     f->set_halfedge(Halfedge_of[ei]);
   }
-  else
-  {
-    in.setstate(std::ios_base::badbit);
-    return false;
-  }
+
   while (in >> ei) {
     CGAL_assertion_msg(ei >= 0 && (std::size_t) ei < en, "wrong index in face cycle list.");
     if (!(ei >= 0 && ei < en))

From 01374debeb87070867f77ffbfc38e6ebcdf1c322 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 25 Jan 2021 13:39:36 +0100
Subject: [PATCH 199/317] Drop Ipe 6 support

---
 CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt | 36 +++----------------
 CGAL_ipelets/demo/CGAL_ipelets/generator.cpp  |  4 ---
 CGAL_ipelets/demo/CGAL_ipelets/hull.cpp       | 31 ----------------
 CGAL_ipelets/include/CGAL/CGAL_Ipelet_base.h  |  4 ---
 Installation/CMakeLists.txt                   |  3 --
 Installation/cmake/modules/FindIPE.cmake      |  8 ++---
 6 files changed, 8 insertions(+), 78 deletions(-)

diff --git a/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt b/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt
index 680189f0227..4d66a2089a4 100644
--- a/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt
+++ b/CGAL_ipelets/demo/CGAL_ipelets/CMakeLists.txt
@@ -32,15 +32,11 @@ if(NOT TARGET CGAL::Eigen3_support)
   return()
 endif()
 
-find_package(IPE 6)
+find_package(IPE 7)
 
 if(IPE_FOUND)
-  if (${IPE_VERSION} EQUAL "7")
-    set(WITH_IPE_7 ON)
-  elseif(${IPE_VERSION} EQUAL "6")
-    set(WITH_IPE_7 OFF)
-  else()
-    message("-- Error: ${IPE_VERSION} is not a supported version of IPE (only 6 and 7 are).")
+  if ( NOT ${IPE_VERSION} EQUAL "7")
+    message("-- Error: ${IPE_VERSION} is not a supported version of IPE (only 7 is).")
     set(IPE_FOUND FALSE)
   endif()
 endif()
@@ -52,7 +48,6 @@ if(IPE_FOUND AND IPE_VERSION)
   #setting installation directory
   get_filename_component(IPE_LIBRARY_DIR ${IPE_LIBRARIES} PATH)
   if (IPE_FOUND AND NOT IPELET_INSTALL_DIR)
-    if (WITH_IPE_7)
       remove_leading_zero(IPE_MINOR_VERSION_1)
       remove_leading_zero(IPE_MINOR_VERSION_2)
       set(INSTALL_PATHS "${IPE_LIBRARY_DIR}/ipe/7.${IPE_MINOR_VERSION_1}.${IPE_MINOR_VERSION_2}/ipelets/")
@@ -62,24 +57,6 @@ if(IPE_FOUND AND IPE_VERSION)
                     DOC "The folder where ipelets will be installed"
                     ENV IPELETPATH
                    )
-    else()
-      foreach (VER RANGE 28 40)
-        string(REPLACE XX ${VER} PATHC "${IPE_LIBRARY_DIR}/ipe/6.0preXX/ipelets/" )
-        set(INSTALL_PATHS ${INSTALL_PATHS} ${PATHC})
-      endforeach()
-      set(INSTALL_PATHS ${INSTALL_PATHS} ${PATHC})
-      set(INSTALL_PATHS ${INSTALL_PATHS} /usr/lib64/ipe/6.0/ipelets)
-      set(INSTALL_PATHS ${INSTALL_PATHS} /usr/lib/ipe/6.0/ipelets)
-
-      find_library(
-        IPELET_INSTALL_DIR_FILES
-        NAMES align
-        PATHS ${INSTALL_PATHS} ENV IPELETPATH)
-      if(IPELET_INSTALL_DIR_FILES)
-        get_filename_component(IPELET_INSTALL_DIR ${IPELET_INSTALL_DIR_FILES}
-                               PATH)
-      endif()
-    endif()
   endif()
 
   set(CGAL_IPELETS ${CGAL_IPELETS})
@@ -116,18 +93,13 @@ if(IPE_FOUND AND IPE_VERSION)
   foreach(IPELET ${CGAL_IPELETS})
     add_library(CGAL_${IPELET} MODULE ${IPELET}.cpp)
     target_include_directories(CGAL_${IPELET} BEFORE PRIVATE ${IPE_INCLUDE_DIR})
-    if (WITH_IPE_7)
-      target_compile_definitions(CGAL_${IPELET} PRIVATE CGAL_USE_IPE_7)
-    endif()
 
     add_to_cached_list(CGAL_EXECUTABLE_TARGETS CGAL_${IPELET})
     target_link_libraries(CGAL_${IPELET} PRIVATE CGAL::CGAL CGAL::Eigen3_support
                                                  ${IPE_LIBRARIES})
     if(IPELET_INSTALL_DIR)
       install(TARGETS CGAL_${IPELET} DESTINATION ${IPELET_INSTALL_DIR})
-      if (WITH_IPE_7)
-        install(FILES ./lua/libCGAL_${IPELET}.lua DESTINATION ${IPELET_INSTALL_DIR}) #only for ipe 7
-      endif()
+      install(FILES ./lua/libCGAL_${IPELET}.lua DESTINATION ${IPELET_INSTALL_DIR}) #only for ipe 7
     endif ()
     cgal_add_compilation_test(CGAL_${IPELET})
   endforeach(IPELET)
diff --git a/CGAL_ipelets/demo/CGAL_ipelets/generator.cpp b/CGAL_ipelets/demo/CGAL_ipelets/generator.cpp
index 7c99e967f8b..92104a15cff 100644
--- a/CGAL_ipelets/demo/CGAL_ipelets/generator.cpp
+++ b/CGAL_ipelets/demo/CGAL_ipelets/generator.cpp
@@ -110,11 +110,7 @@ void generator::protected_run(int fn)
   else
     segments.reserve(nbelements);
 
-  #ifdef CGAL_USE_IPE_7
   get_IpePage()->deselectAll();
-  #else
-  get_IpePage()->DeselectAll();
-  #endif
 
   switch(fn){
     case 0:{//random point in a circle
diff --git a/CGAL_ipelets/demo/CGAL_ipelets/hull.cpp b/CGAL_ipelets/demo/CGAL_ipelets/hull.cpp
index 4e43d342d5b..abd2a7842b5 100644
--- a/CGAL_ipelets/demo/CGAL_ipelets/hull.cpp
+++ b/CGAL_ipelets/demo/CGAL_ipelets/hull.cpp
@@ -126,7 +126,6 @@ void enveloppeIpelet::protected_run(int fn)
       Vsite0.insert(Vsite0.end(),*(Vsite0.begin()+1));
       std::vector<ASite>::iterator Vsiteite0 = Vsite0.begin();
       std::vector<ASite>::iterator Vsiteite00 = Vsite0.end()-2;
-      #ifdef CGAL_USE_IPE_7
       for(std::vector<ASite>::iterator it=Vsiteite00 ; it!=Vsiteite0 ; --it){//draw precise convex hull computing tangency point to circles
         double c_rad = it->weight();
         if(c_rad!=0){
@@ -155,36 +154,6 @@ void enveloppeIpelet::protected_run(int fn)
       ipe::Shape shape;
       shape.appendSubPath(SSPseg_ipe);
       get_IpePage()->append(ipe::EPrimarySelected,CURRENTLAYER,new ipe::Path(CURRENTATTRIBUTES,shape));
-      #else
-      for(std::vector<ASite>::iterator it=Vsiteite00 ; it!=Vsiteite0 ; --it){//draw precise convex hull computing tangency point to circles
-        double c_rad = it->weight();
-        if(c_rad!=0){
-          Point_2 p_pt = (it-1)->point();  //previous neighbor
-          Point_2 c_pt = it->point();
-          Point_2 n_pt = (it+1)->point(); //next neighbor
-          double p_rad = (it-1)->weight();
-          double n_rad = (it+1)->weight();
-          IpeVector pt_ipe=tangency_point(c_rad,p_rad,c_pt,p_pt);
-          IpeVector pt_ipe0=tangency_point(c_rad,n_rad,c_pt,n_pt,-1);
-
-          if(it!=Vsiteite00)
-            SSPseg_ipe->AppendSegment(pt_ipe1,pt_ipe0);
-          SSPseg_ipe->AppendArc(IpeMatrix(c_rad,0,0,c_rad,c_pt.x(),c_pt.y()),pt_ipe0,pt_ipe);
-          pt_ipe1=pt_ipe;
-        }
-        else{
-          Point_2 c_pt = it->point();
-          IpeVector pt_ipe=IpeVector(c_pt.x(),c_pt.y());
-          if(it!=Vsiteite00)
-            SSPseg_ipe->AppendSegment(pt_ipe1,pt_ipe);
-          pt_ipe1=pt_ipe;
-        }
-      }
-      SSPseg_ipe->SetClosed(true);
-      IpePath* obj_ipe1 = new IpePath(get_IpeletHelper()->Attributes());
-      obj_ipe1 -> AddSubPath(SSPseg_ipe);
-      get_IpePage()->push_back(IpePgObject(IpePgObject::ESecondary,get_IpeletHelper()->CurrentLayer(),obj_ipe1));
-      #endif
     }
     break;
 
diff --git a/CGAL_ipelets/include/CGAL/CGAL_Ipelet_base.h b/CGAL_ipelets/include/CGAL/CGAL_Ipelet_base.h
index a3062e941ad..1b82d19a3e2 100644
--- a/CGAL_ipelets/include/CGAL/CGAL_Ipelet_base.h
+++ b/CGAL_ipelets/include/CGAL/CGAL_Ipelet_base.h
@@ -13,8 +13,4 @@
 
 #include <CGAL/config.h>
 
-#ifdef CGAL_USE_IPE_7
 #include <CGAL/CGAL_Ipelet_base_v7.h>
-#else
-#include <CGAL/CGAL_Ipelet_base_v6.h>
-#endif
diff --git a/Installation/CMakeLists.txt b/Installation/CMakeLists.txt
index 9697b7a6f99..473581d2eb5 100644
--- a/Installation/CMakeLists.txt
+++ b/Installation/CMakeLists.txt
@@ -1056,9 +1056,6 @@ because OpenCV_FOUND is false")
       message(STATUS "Skip header \"CGAL/CGAL_ipelet_base.h\" \
 because IPE_FOUND is false.")
     endif()
-    if("${IPE_VERSION}" EQUAL "7")
-      set(compile_options "${compile_options} -DCGAL_USE_IPE_7")
-    endif()
 
     if(CGAL_ENABLE_CHECK_HEADERS)
       set(flag "-fsyntax-only")
diff --git a/Installation/cmake/modules/FindIPE.cmake b/Installation/cmake/modules/FindIPE.cmake
index 784bc90a817..ddd0c3ec1f2 100644
--- a/Installation/cmake/modules/FindIPE.cmake
+++ b/Installation/cmake/modules/FindIPE.cmake
@@ -10,14 +10,14 @@
 # Is it already configured?
 if (IPE_INCLUDE_DIR AND IPE_LIBRARIES AND IPE_FULL_VERSION)
   set(IPE_FOUND TRUE)
-else()  
-  find_path(IPE_INCLUDE_DIR 
+else()
+  find_path(IPE_INCLUDE_DIR
             NAMES ipelib.h
             PATHS /usr/include
                   /usr/local/include
            )
 
-  find_library(IPE_LIBRARIES 
+  find_library(IPE_LIBRARIES
                NAMES ipe
                PATHS /usr/lib
                      /usr/local/lib
@@ -26,7 +26,7 @@ else()
 
   if(IPE_INCLUDE_DIR)
     file(READ "${IPE_INCLUDE_DIR}/ipebase.h" IPEBASE_H)
-    string(REGEX MATCH "IPELIB_VERSION[ ]*=[ ]*([67])([0-9][0-9])([0-9][0-9]);" FOUND_IPE_VERSION "${IPEBASE_H}")
+    string(REGEX MATCH "IPELIB_VERSION[ ]*=[ ]*([7])([0-9][0-9])([0-9][0-9]);" FOUND_IPE_VERSION "${IPEBASE_H}")
     if (FOUND_IPE_VERSION)
       set(IPE_VERSION ${CMAKE_MATCH_1} CACHE INTERNAL "Ipe version major number")
       set(IPE_MINOR_VERSION_1 ${CMAKE_MATCH_2} CACHE INTERNAL "Ipe version minor number")

From c5da5251b10b187beacd71daa128e7d670b81244 Mon Sep 17 00:00:00 2001
From: Maxime GIMENO <maxime.gimeno@gmail.com>
Date: Mon, 25 Jan 2021 14:54:00 +0100
Subject: [PATCH 200/317] Update Installation/cmake/modules/FindIPE.cmake

Co-authored-by: Laurent Rineau <Laurent.Rineau@cgal.org>
---
 Installation/cmake/modules/FindIPE.cmake | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Installation/cmake/modules/FindIPE.cmake b/Installation/cmake/modules/FindIPE.cmake
index ddd0c3ec1f2..e9885a56e12 100644
--- a/Installation/cmake/modules/FindIPE.cmake
+++ b/Installation/cmake/modules/FindIPE.cmake
@@ -26,7 +26,7 @@ else()
 
   if(IPE_INCLUDE_DIR)
     file(READ "${IPE_INCLUDE_DIR}/ipebase.h" IPEBASE_H)
-    string(REGEX MATCH "IPELIB_VERSION[ ]*=[ ]*([7])([0-9][0-9])([0-9][0-9]);" FOUND_IPE_VERSION "${IPEBASE_H}")
+    string(REGEX MATCH "IPELIB_VERSION[ ]*=[ ]*([6789])([0-9][0-9])([0-9][0-9]);" FOUND_IPE_VERSION "${IPEBASE_H}")
     if (FOUND_IPE_VERSION)
       set(IPE_VERSION ${CMAKE_MATCH_1} CACHE INTERNAL "Ipe version major number")
       set(IPE_MINOR_VERSION_1 ${CMAKE_MATCH_2} CACHE INTERNAL "Ipe version minor number")

From 631aa064eb8595804b0bdc4b013b6c9097e48492 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 25 Jan 2021 15:28:35 +0100
Subject: [PATCH 201/317] Rephrase the doc

---
 Documentation/doc/Documentation/Third_party.txt | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/Documentation/doc/Documentation/Third_party.txt b/Documentation/doc/Documentation/Third_party.txt
index 02bffde6a6b..f3001865058 100644
--- a/Documentation/doc/Documentation/Third_party.txt
+++ b/Documentation/doc/Documentation/Third_party.txt
@@ -154,9 +154,9 @@ executables should be linked with the CMake imported target
 
 The \sc{libpointmatcher} web site is <A
 HREF="https://github.com/ethz-asl/libpointmatcher">`https://github.com/ethz-asl/libpointmatcher`</A>.
-\attention On Windows, we only test the following setup : PointMatcher 1.3.1 with Eigen 3.3.7. Also, to make it work, you should follow the instructions at
-`https://github.com/ethz-asl/libpointmatcher/blob/master/doc/CompilationWindows.md`, but replace `NABO_INCLUDE_DIR` by `libnabo_INCLUDE_DIRS`
-and `NABO_LIBRARY` by `libnabo_LIBRARIES` when configuring PointMatcher.
+\attention On Windows, we only support version 1.3.1 of PointMatcher with version 3.3.7 of Eigen, with some changes to the recipe at
+`https://github.com/ethz-asl/libpointmatcher/blob/master/doc/CompilationWindows.md`:`NABO_INCLUDE_DIR` becomes `libnabo_INCLUDE_DIRS`
+and `NABO_LIBRARY` becomes `libnabo_LIBRARIES` in the "Build libpointmatcher" section.
 
 
 \subsection thirdpartyLeda LEDA

From 4ed3b0129c3894758ac921cd7baa6468b521950c Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 25 Jan 2021 15:35:27 +0100
Subject: [PATCH 202/317] make the dependencies to boost general, not just for
 windows

---
 .../cmake/modules/CGAL_pointmatcher_support.cmake        | 9 +++------
 1 file changed, 3 insertions(+), 6 deletions(-)

diff --git a/Installation/cmake/modules/CGAL_pointmatcher_support.cmake b/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
index 7247f399f18..7323feae702 100644
--- a/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
+++ b/Installation/cmake/modules/CGAL_pointmatcher_support.cmake
@@ -1,14 +1,11 @@
 if(libpointmatcher_FOUND AND NOT TARGET CGAL::pointmatcher_support)
-  if(WIN32 OR CMAKE_SYSTEM_NAME STREQUAL Windows)
-    find_package(Boost COMPONENTS thread filesystem system program_options date_time chrono)
-  endif()
-  if(NOT (WIN32 OR CMAKE_SYSTEM_NAME STREQUAL Windows)
-      OR ( Boost_chrono_FOUND
+  find_package(Boost COMPONENTS thread filesystem system program_options date_time chrono)
+  if(Boost_chrono_FOUND
       AND Boost_thread_FOUND
       AND Boost_filesystem_FOUND
       AND Boost_system_FOUND
       AND Boost_program_options_FOUND
-      AND Boost_date_time_FOUND) )
+      AND Boost_date_time_FOUND)
     add_library(CGAL::pointmatcher_support INTERFACE IMPORTED)
     target_compile_definitions(CGAL::pointmatcher_support INTERFACE "CGAL_LINKED_WITH_POINTMATCHER")
     target_include_directories(CGAL::pointmatcher_support INTERFACE "${libpointmatcher_INCLUDE_DIR}")

From fba2e1fc45e6137249fc6cfc04bc5cb8a9bf1b51 Mon Sep 17 00:00:00 2001
From: Simon Giraudot <simon.giraudot@geometryfactory.com>
Date: Thu, 14 Jan 2021 15:18:24 +0100
Subject: [PATCH 203/317] Remove false (outdated) dependency to Boost IO Stream
 / Serialization in code

---
 .../CGAL/Classification/ETHZ/Random_forest_classifier.h   | 8 --------
 1 file changed, 8 deletions(-)

diff --git a/Classification/include/CGAL/Classification/ETHZ/Random_forest_classifier.h b/Classification/include/CGAL/Classification/ETHZ/Random_forest_classifier.h
index 6b22c41ad00..9df36610a44 100644
--- a/Classification/include/CGAL/Classification/ETHZ/Random_forest_classifier.h
+++ b/Classification/include/CGAL/Classification/ETHZ/Random_forest_classifier.h
@@ -290,14 +290,10 @@ public:
     The output file is written in a binary format that is readable by
     the `load_configuration()` method.
   */
-#if defined(DOXYGEN_RUNNING) || \
-  (defined(CGAL_LINKED_WITH_BOOST_IOSTREAMS) && \
-   defined(CGAL_LINKED_WITH_BOOST_SERIALIZATION))
   void save_configuration (std::ostream& output) const
   {
     m_rfc->write(output);
   }
-#endif
 
   /*!
     \brief loads a configuration from the stream `input`.
@@ -314,9 +310,6 @@ public:
     format for ETHZ Random Forest changed in CGAL 5.2.
 
   */
-#if defined(DOXYGEN_RUNNING) || \
-  (defined(CGAL_LINKED_WITH_BOOST_IOSTREAMS) && \
-   defined(CGAL_LINKED_WITH_BOOST_SERIALIZATION))
   void load_configuration (std::istream& input)
   {
     CGAL::internal::liblearning::RandomForest::ForestParams params;
@@ -324,7 +317,6 @@ public:
 
     m_rfc->read(input);
   }
-#endif
 
   /// @}
 

From 8ce047066116d83d9cd829dfaf70e4b5a361db6a Mon Sep 17 00:00:00 2001
From: Simon Giraudot <simon.giraudot@geometryfactory.com>
Date: Thu, 14 Jan 2021 15:19:15 +0100
Subject: [PATCH 204/317] Make Boost IO Stream and Serialization optional for
 compiling Classification plugin

---
 .../Plugins/Classification/CMakeLists.txt     | 91 +++++++++----------
 .../Classification/Classification_plugin.cpp  |  5 +
 .../Classification/Item_classification_base.h |  2 +
 3 files changed, 48 insertions(+), 50 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt b/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt
index 9477b7bc01d..7c63ffd2a22 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt
@@ -2,25 +2,14 @@ include(polyhedron_demo_macros)
 
 if(TARGET CGAL::Eigen3_support)
 
-  set(Classification_dependencies_met TRUE)
-
   find_package(Boost OPTIONAL_COMPONENTS serialization iostreams)
   include(CGAL_Boost_serialization_support)
   include(CGAL_Boost_iostreams_support)
-  if(NOT TARGET CGAL::Boost_serialization_support)
+  if(NOT TARGET CGAL::Boost_serialization_support OR NOT TARGET CGAL::Boost_iostreams_support)
     message(
       STATUS
-        "NOTICE: Boost Serialization not found. Classification plugin won't be available."
+        "NOTICE: Boost IO Streams and/or Serialization not found, reading deprecated Classification config files won't be possible."
     )
-    set(Classification_dependencies_met FALSE)
-  endif()
-
-  if(NOT TARGET CGAL::Boost_iostreams_support)
-    message(
-      STATUS
-        "NOTICE: Boost IOStreams not found. Classification plugin won't be available."
-    )
-    set(Classification_dependencies_met FALSE)
   endif()
 
   find_package(OpenCV QUIET COMPONENTS core ml) # Need core + machine learning
@@ -35,7 +24,6 @@ if(TARGET CGAL::Eigen3_support)
       STATUS
         "NOTICE: OpenCV was not found. OpenCV random forest predicate for classification won't be available."
     )
-
   endif()
 
   find_package(TensorFlow QUIET)
@@ -53,45 +41,48 @@ if(TARGET CGAL::Eigen3_support)
     )
   endif()
 
-  if(Classification_dependencies_met)
-    qt5_wrap_ui(classificationUI_FILES Classification_widget.ui
-                Classification_advanced_widget.ui)
-    polyhedron_demo_plugin(
-      classification_plugin
-      Classification_plugin
-      Point_set_item_classification.cpp
-      Cluster_classification.cpp
-      Surface_mesh_item_classification.cpp
-      ${classificationUI_FILES}
-      KEYWORDS
-      Classification)
-    target_link_libraries(
-      classification_plugin
-      PUBLIC scene_points_with_normal_item
-             scene_polylines_item
-             scene_polygon_soup_item
-             scene_surface_mesh_item
-             scene_selection_item
-             scene_color_ramp
-             CGAL::Eigen3_support
-             CGAL::Boost_serialization_support
-             CGAL::Boost_iostreams_support)
+  qt5_wrap_ui(classificationUI_FILES Classification_widget.ui
+    Classification_advanced_widget.ui)
+  polyhedron_demo_plugin(
+    classification_plugin
+    Classification_plugin
+    Point_set_item_classification.cpp
+    Cluster_classification.cpp
+    Surface_mesh_item_classification.cpp
+    ${classificationUI_FILES}
+    KEYWORDS
+    Classification)
+  target_link_libraries(
+    classification_plugin
+    PUBLIC scene_points_with_normal_item
+    scene_polylines_item
+    scene_polygon_soup_item
+    scene_surface_mesh_item
+    scene_selection_item
+    scene_color_ramp
+    CGAL::Eigen_support)
 
-    if(OpenCV_FOUND)
-      target_link_libraries(classification_plugin PUBLIC CGAL::OpenCV_support)
-    endif()
-    if(TensorFlow_FOUND)
-      target_link_libraries(classification_plugin
-                            PUBLIC CGAL::TensorFlow_support)
-    endif()
-    if(TBB_FOUND)
-      target_link_libraries(classification_plugin PUBLIC CGAL::TBB_support)
-    endif()
-
-    add_dependencies(classification_plugin point_set_selection_plugin
-                     selection_plugin)
+  if(TARGET CGAL::Boost_serialization_support AND TARGET CGAL::Boost_iostreams_support)
+    target_link_libraries(classification_plugin PUBLIC
+      CGAL::Boost_serialization_support
+      CGAL::Boost_iostreams_support)
   endif()
 
+  if(TARGET CGAL::OpenCV_support)
+    target_link_libraries(classification_plugin PUBLIC CGAL::OpenCV_support)
+  endif()
+
+  if(TARGET CGAL::TensorFlow_support)
+    target_link_libraries(classification_plugin PUBLIC CGAL::TensorFlow_support)
+  endif()
+
+  if(TARGET CGAL::TBB_support)
+    target_link_libraries(classification_plugin PUBLIC CGAL::TBB_support)
+  endif()
+
+  add_dependencies(classification_plugin point_set_selection_plugin
+    selection_plugin)
+
 else()
   message(
     STATUS
diff --git a/Polyhedron/demo/Polyhedron/Plugins/Classification/Classification_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/Classification/Classification_plugin.cpp
index 75cc2aed755..209ced92bfe 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Classification/Classification_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Classification/Classification_plugin.cpp
@@ -708,7 +708,12 @@ public Q_SLOTS:
       filename = QFileDialog::getOpenFileName(mw,
                                               tr("Open ETHZ random forest configuration"),
                                               ".",
+#if defined(CGAL_LINKED_WITH_BOOST_IOSTREAMS) && defined(CGAL_LINKED_WITH_BOOST_SERIALIZATION)
                                               "ETHZ random forest configuration (*.bin);Deprecated compressed ETHZ random forest configuration (*.gz);All Files (*)");
+#else
+                                              "ETHZ random forest configuration (*.bin);All Files (*)");
+#endif
+
 #ifdef CGAL_LINKED_WITH_OPENCV
     else if (classifier == CGAL_CLASSIFICATION_OPENCV_NUMBER) // Random Forest (OpenCV)
       filename = QFileDialog::getOpenFileName(mw,
diff --git a/Polyhedron/demo/Polyhedron/Plugins/Classification/Item_classification_base.h b/Polyhedron/demo/Polyhedron/Plugins/Classification/Item_classification_base.h
index 5d763d90b2f..25fe070004d 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Classification/Item_classification_base.h
+++ b/Polyhedron/demo/Polyhedron/Plugins/Classification/Item_classification_base.h
@@ -235,10 +235,12 @@ public:
         m_ethz = new ETHZ_random_forest (m_labels, m_features);
       std::ifstream f (filename, std::ios_base::in | std::ios_base::binary);
 
+#if defined(CGAL_LINKED_WITH_BOOST_IOSTREAMS) && defined(CGAL_LINKED_WITH_BOOST_SERIALIZATION)
       // Handle deprecated files
       if (std::string(filename).find(".gz") != std::string::npos)
         m_ethz->load_deprecated_configuration(f);
       else
+#endif
         m_ethz->load_configuration (f);
     }
     else if (classifier == CGAL_CLASSIFICATION_OPENCV_NUMBER)

From fd371ef96be8c88d3220fbc0e4159a584d02c1be Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 25 Jan 2021 16:09:17 +0100
Subject: [PATCH 205/317] refactor the facet patch id maps + update the default

---
 .../Mesh_3/experimental/Get_facet_patch_id.h  | 125 ++++++------------
 .../Lipschitz_sizing_experimental.h           |   2 +-
 .../Sizing_field_with_aabb_tree.h             |   3 +-
 .../Polyhedron/Plugins/Mesh_3/Mesh_function.h |  22 +--
 4 files changed, 46 insertions(+), 106 deletions(-)

diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h
index ab4862f6b99..7e62f6f41ce 100644
--- a/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h
@@ -11,113 +11,70 @@
 // Author(s)     : Laurent Rineau
 //
 
-#ifndef CGAL_MESH_3_GET_FACET_PATCH_ID_H
-#define CGAL_MESH_3_GET_FACET_PATCH_ID_H
+#ifndef CGAL_MESH_3_FACET_PATCH_ID_MAP_H
+#define CGAL_MESH_3_FACET_PATCH_ID_MAP_H
 
 #include <CGAL/license/Mesh_3.h>
 
 #include <CGAL/property_map.h>
 #include <CGAL/boost/graph/properties.h>
-#include <boost/mpl/has_xxx.hpp>
+#include <CGAL/is_iterator.h>
 
 namespace CGAL { namespace Mesh_3 {
 
-namespace internal {
-BOOST_MPL_HAS_XXX_TRAIT_NAMED_DEF(Primitive_has_Id, Id, false)
-} // end namespace CGAL::Mesh_3::internal
+/// A property map that, from a primitive of a AABB tree
+/// retrieve the patch_id() of the facet.
+template <typename MeshDomain,
+          typename Primitive,
+          bool id_is_iterator = CGAL::is_iterator<typename Primitive::Id>::value >
+struct Facet_patch_id_map;
 
-/// A property map that, from a primitive of a AABB tree of polyhedron
-/// facets, retrieve the patch_id() of the facet.
-template <typename Primitive>
-struct Get_facet_patch_id{};
-
-
-// generic version, that test if Primitive::Id exists
-template <typename Primitive,
-          bool = internal::Primitive_has_Id<Primitive>::value >
-struct Get_facet_patch_id_property_traits {
-};
-
-// specialization when Primitive::Id exists
-template <typename Primitive>
-struct Get_facet_patch_id_property_traits<Primitive, true>
+// Primitive::Id is an iterator type
+template <typename MeshDomain,
+          typename Primitive>
+struct Facet_patch_id_map<MeshDomain, Primitive, true>
 {
   typedef typename Primitive::Id Id;
   typedef typename std::iterator_traits<Id>::value_type Face;
   typedef typename Face::Patch_id value_type;
-  typedef value_type& reference;
-  typedef Primitive key_type;
+  typedef const value_type& reference;
+  typedef typename Primitive::Id key_type;
   typedef boost::readable_property_map_tag category;
+
+  friend reference get(Facet_patch_id_map<MeshDomain, Primitive, true>, key_type primitive_id)
+  {
+    return primitive_id->patch_id();
+  }
 };
 
-}} // end namespace CGAL::Mesh_3
-
-namespace boost {
-  // specialization for using pointers as property maps
-  template <typename Primitive>
-  struct property_traits<CGAL::Mesh_3::Get_facet_patch_id<Primitive> >
-    : public CGAL::Mesh_3::Get_facet_patch_id_property_traits<Primitive> {};
-}
-
-namespace CGAL { namespace Mesh_3 {
-
-template <typename Primitive>
-typename boost::property_traits< Get_facet_patch_id<Primitive> >::value_type
-get(const Get_facet_patch_id<Primitive>, const typename Primitive::Id& primitive_id) {
-  return primitive_id->patch_id();
-}
-
-
-
-/// A property map that, from a primitive of a AABB tree of Gwdwg<Surface_mesh>
-/// facets, retrieve the patch_id() of the facet.
-template < typename MeshDomain>
-struct Get_facet_patch_id_sm{};
-
-
-// generic version, that test if Primitive::Id exists
+// Primitive::Id is a std::pair
 template <typename MeshDomain,
-          bool = internal::Primitive_has_Id<typename MeshDomain::AABB_primitive>::value>
-struct Get_facet_patch_id_sm_property_traits {
-};
-
-// specialization when Primitive::Id exists
-template <typename MeshDomain>
-struct Get_facet_patch_id_sm_property_traits<MeshDomain, true>
+          typename Primitive>
+struct Facet_patch_id_map<MeshDomain, Primitive, false>
 {
   typedef typename MeshDomain::AABB_primitive::Id Id;
   typedef typename MeshDomain::Patch_id value_type;
-
-  typedef value_type& reference;
-  typedef typename MeshDomain::AABB_primitive key_type;
+  typedef const value_type& reference;
+  typedef typename MeshDomain::AABB_primitive::Id key_type;
   typedef boost::readable_property_map_tag category;
+
+  friend reference get(Facet_patch_id_map<MeshDomain, Primitive, false>, key_type primitive_id)
+  {
+    typedef typename boost::property_map<
+         typename MeshDomain::Polyhedron,
+         face_patch_id_t<typename MeshDomain::Patch_id> >::type Fpim;
+    Fpim fpim = get(face_patch_id_t<typename MeshDomain::Patch_id>(),
+                    *(primitive_id.second));
+    typename MeshDomain::Patch_id patch_index = get(fpim,
+                                                    primitive_id.first);
+    return patch_index;
+  }
 };
 
-}} // end namespace CGAL::Mesh_3
-
-namespace boost {
-  // specialization for using pointers as property maps
-  template <typename MeshDomain>
-  struct property_traits<CGAL::Mesh_3::Get_facet_patch_id_sm<MeshDomain> >
-    : public CGAL::Mesh_3::Get_facet_patch_id_sm_property_traits<MeshDomain> {};
-}
-
-namespace CGAL { namespace Mesh_3 {
-
+// backward compatibility with user code
 template <typename MeshDomain>
-typename boost::property_traits< Get_facet_patch_id_sm<MeshDomain> >::value_type
-get(const Get_facet_patch_id_sm<MeshDomain>,
-    const typename MeshDomain::AABB_primitive::Id& primitive_id)
-{
-  typedef typename boost::property_map<
-       typename MeshDomain::Polyhedron,
-       face_patch_id_t<typename MeshDomain::Patch_id> >::type Fpim;
-  Fpim fpim = get(face_patch_id_t<typename MeshDomain::Patch_id>(),
-                  *(primitive_id.second));
-  typename MeshDomain::Patch_id patch_index = get(fpim,
-                                                  primitive_id.first);
-  return patch_index;
-}
+using Get_facet_patch_id_sm = Facet_patch_id_map<MeshDomain, typename MeshDomain::AABB_tree>;
+
 }} // end namespace CGAL::Mesh_3
 
-#endif // CGAL_MESH_3_GET_FACET_PATCH_ID_H
+#endif // CGAL_MESH_3_FACET_PATCH_ID_MAP_H
diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h
index 2288db7ef27..cd099a1edcf 100644
--- a/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h
@@ -78,7 +78,7 @@ public:
 
   typedef typename CGAL::Default::Get<
     Get_facet_patch_id_,
-    CGAL::Mesh_3::Get_facet_patch_id<typename Tree::Primitive>
+    CGAL::Mesh_3::Facet_patch_id_map<MeshDomain, typename Tree::Primitive>
   >::type                                               Get_facet_patch_id;
 
   typedef CGAL::Mesh_3::Filtered_projection_traits<
diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h
index c27f99353ec..0807f9cdde1 100644
--- a/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h
@@ -67,7 +67,8 @@ struct Sizing_field_with_aabb_tree
     >::type Get_curve_index;
   typedef typename CGAL::Default::Get<
     Get_facet_patch_id_,
-    CGAL::Mesh_3::Get_facet_patch_id<typename Input_facets_AABB_tree::Primitive>
+    CGAL::Mesh_3::Facet_patch_id_map<MeshDomain,
+                                     typename Input_facets_AABB_tree::Primitive>
     >::type Get_facet_patch_id;
 
   Sizing_field_with_aabb_tree
diff --git a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
index 43b1bbadf12..4e5ee780351 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
+++ b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
@@ -40,18 +40,7 @@
 namespace CGAL {
   class Image_3;
 }
-namespace internal{
-//general case for polyhedron
-template<class Domain>
-struct Get_facet_patch_id_selector {
-  typedef CGAL::Default type;
-};
-//specialization for surface_mesh
-template<>
-struct Get_facet_patch_id_selector<Polyhedral_mesh_domain> {
-  typedef CGAL::Mesh_3::Get_facet_patch_id_sm<Polyhedral_mesh_domain> type;
-};
-}//end internal
+
 struct Mesh_parameters
 {
   double facet_angle;
@@ -264,14 +253,7 @@ edge_criteria(double edge_size, Mesh_fnt::Polyhedral_domain_tag)
 {
   if(p_.use_sizing_field_with_aabb_tree) {
     typedef typename Domain::Surface_patch_index_set Set_of_patch_ids;
-    typedef Sizing_field_with_aabb_tree
-      <
-      Kernel
-      , Domain
-      , typename Domain::AABB_tree
-      , CGAL::Default
-      , typename internal::Get_facet_patch_id_selector<Domain>::type
-      > Mesh_sizing_field; // type of sizing field for 0D and 1D features
+    typedef Sizing_field_with_aabb_tree<Kernel, Domain> Mesh_sizing_field; // type of sizing field for 0D and 1D features
     typedef std::vector<Set_of_patch_ids> Patches_ids_vector;
     typedef typename Domain::Curve_index Curve_index;
     const Curve_index max_index = domain_->maximal_curve_index();

From bf128b3fda6746763d107f2674e2d6d2d22bf274 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 25 Jan 2021 16:19:23 +0100
Subject: [PATCH 206/317] rename typedef to make clear it is a property map

---
 .../Mesh_3/experimental/Facet_patch_id_map.h  | 76 +++++++++++++++++++
 .../Mesh_3/experimental/Get_facet_patch_id.h  | 59 +-------------
 .../Lipschitz_sizing_experimental.h           | 16 ++--
 .../Sizing_field_with_aabb_tree.h             | 30 ++++----
 .../Polyhedron/Plugins/Mesh_3/Mesh_function.h |  1 -
 5 files changed, 103 insertions(+), 79 deletions(-)
 create mode 100644 Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h

diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h
new file mode 100644
index 00000000000..19bb594e35e
--- /dev/null
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h
@@ -0,0 +1,76 @@
+// Copyright (c) 2010,2012  GeometryFactory Sarl (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
+//
+//
+// Author(s)     : Laurent Rineau
+//
+
+#ifndef CGAL_MESH_3_FACET_PATCH_ID_MAP_H
+#define CGAL_MESH_3_FACET_PATCH_ID_MAP_H
+
+#include <CGAL/license/Mesh_3.h>
+
+#include <CGAL/property_map.h>
+#include <CGAL/boost/graph/properties.h>
+#include <CGAL/is_iterator.h>
+
+namespace CGAL { namespace Mesh_3 {
+
+/// A property map that, from a primitive of a AABB tree
+/// retrieve the patch_id() of the facet.
+template <typename MeshDomain,
+          typename Primitive,
+          bool id_is_iterator = CGAL::is_iterator<typename Primitive::Id>::value >
+struct Facet_patch_id_map;
+
+// Primitive::Id is an iterator type
+template <typename MeshDomain,
+          typename Primitive>
+struct Facet_patch_id_map<MeshDomain, Primitive, true>
+{
+  typedef typename Primitive::Id Id;
+  typedef typename std::iterator_traits<Id>::value_type Face;
+  typedef typename Face::Patch_id value_type;
+  typedef const value_type& reference;
+  typedef typename Primitive::Id key_type;
+  typedef boost::readable_property_map_tag category;
+
+  friend reference get(Facet_patch_id_map<MeshDomain, Primitive, true>, key_type primitive_id)
+  {
+    return primitive_id->patch_id();
+  }
+};
+
+// Primitive::Id is a std::pair
+template <typename MeshDomain,
+          typename Primitive>
+struct Facet_patch_id_map<MeshDomain, Primitive, false>
+{
+  typedef typename MeshDomain::AABB_primitive::Id Id;
+  typedef typename MeshDomain::Patch_id value_type;
+  typedef const value_type& reference;
+  typedef typename MeshDomain::AABB_primitive::Id key_type;
+  typedef boost::readable_property_map_tag category;
+
+  friend reference get(Facet_patch_id_map<MeshDomain, Primitive, false>, key_type primitive_id)
+  {
+    typedef typename boost::property_map<
+         typename MeshDomain::Polyhedron,
+         face_patch_id_t<typename MeshDomain::Patch_id> >::type Fpim;
+    Fpim fpim = get(face_patch_id_t<typename MeshDomain::Patch_id>(),
+                    *(primitive_id.second));
+    typename MeshDomain::Patch_id patch_index = get(fpim,
+                                                    primitive_id.first);
+    return patch_index;
+  }
+};
+
+}} // end namespace CGAL::Mesh_3
+
+#endif // CGAL_MESH_3_FACET_PATCH_ID_MAP_H
diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h
index 7e62f6f41ce..926cad5a1aa 100644
--- a/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Get_facet_patch_id.h
@@ -11,70 +11,19 @@
 // Author(s)     : Laurent Rineau
 //
 
-#ifndef CGAL_MESH_3_FACET_PATCH_ID_MAP_H
-#define CGAL_MESH_3_FACET_PATCH_ID_MAP_H
+#ifndef CGAL_MESH_3_GET_FACET_PATCH_ID_H
+#define CGAL_MESH_3_GET_FACET_PATCH_ID_H
 
 #include <CGAL/license/Mesh_3.h>
 
-#include <CGAL/property_map.h>
-#include <CGAL/boost/graph/properties.h>
-#include <CGAL/is_iterator.h>
+#include <CGAL/Mesh_3/experimental/Facet_patch_id_map.h>
 
 namespace CGAL { namespace Mesh_3 {
 
-/// A property map that, from a primitive of a AABB tree
-/// retrieve the patch_id() of the facet.
-template <typename MeshDomain,
-          typename Primitive,
-          bool id_is_iterator = CGAL::is_iterator<typename Primitive::Id>::value >
-struct Facet_patch_id_map;
-
-// Primitive::Id is an iterator type
-template <typename MeshDomain,
-          typename Primitive>
-struct Facet_patch_id_map<MeshDomain, Primitive, true>
-{
-  typedef typename Primitive::Id Id;
-  typedef typename std::iterator_traits<Id>::value_type Face;
-  typedef typename Face::Patch_id value_type;
-  typedef const value_type& reference;
-  typedef typename Primitive::Id key_type;
-  typedef boost::readable_property_map_tag category;
-
-  friend reference get(Facet_patch_id_map<MeshDomain, Primitive, true>, key_type primitive_id)
-  {
-    return primitive_id->patch_id();
-  }
-};
-
-// Primitive::Id is a std::pair
-template <typename MeshDomain,
-          typename Primitive>
-struct Facet_patch_id_map<MeshDomain, Primitive, false>
-{
-  typedef typename MeshDomain::AABB_primitive::Id Id;
-  typedef typename MeshDomain::Patch_id value_type;
-  typedef const value_type& reference;
-  typedef typename MeshDomain::AABB_primitive::Id key_type;
-  typedef boost::readable_property_map_tag category;
-
-  friend reference get(Facet_patch_id_map<MeshDomain, Primitive, false>, key_type primitive_id)
-  {
-    typedef typename boost::property_map<
-         typename MeshDomain::Polyhedron,
-         face_patch_id_t<typename MeshDomain::Patch_id> >::type Fpim;
-    Fpim fpim = get(face_patch_id_t<typename MeshDomain::Patch_id>(),
-                    *(primitive_id.second));
-    typename MeshDomain::Patch_id patch_index = get(fpim,
-                                                    primitive_id.first);
-    return patch_index;
-  }
-};
-
 // backward compatibility with user code
 template <typename MeshDomain>
 using Get_facet_patch_id_sm = Facet_patch_id_map<MeshDomain, typename MeshDomain::AABB_tree>;
 
 }} // end namespace CGAL::Mesh_3
 
-#endif // CGAL_MESH_3_FACET_PATCH_ID_MAP_H
+#endif // CGAL_MESH_3_GET_FACET_PATCH_ID_H
diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h
index cd099a1edcf..a0e2524dbb6 100644
--- a/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Lipschitz_sizing_experimental.h
@@ -21,7 +21,7 @@
 #include <CGAL/AABB_triangle_primitive.h>
 
 #include <CGAL/Mesh_3/experimental/AABB_filtered_projection_traits.h>
-#include <CGAL/Mesh_3/experimental/Get_facet_patch_id.h>
+#include <CGAL/Mesh_3/experimental/Facet_patch_id_map.h>
 
 #include <CGAL/Mesh_3/experimental/Lipschitz_sizing_parameters.h>
 
@@ -45,7 +45,7 @@ namespace Mesh_3
 template <class Kernel, class MeshDomain
         , typename AABBTreeTemplate = CGAL::Default
 #ifdef CGAL_MESH_3_EXPERIMENTAL_USE_PATCHES_IDS
-        , typename Get_facet_patch_id_ = CGAL::Default
+        , typename Facet_patch_id_map_ = CGAL::Default
         , typename Patches_ids_ = CGAL::Default
 #endif
 >
@@ -77,12 +77,12 @@ public:
   typedef std::vector<Patches_ids>                      Patches_ids_map;
 
   typedef typename CGAL::Default::Get<
-    Get_facet_patch_id_,
+    Facet_patch_id_map_,
     CGAL::Mesh_3::Facet_patch_id_map<MeshDomain, typename Tree::Primitive>
-  >::type                                               Get_facet_patch_id;
+  >::type                                               Facet_patch_id_map;
 
   typedef CGAL::Mesh_3::Filtered_projection_traits<
-    typename Tree::AABB_traits, Get_facet_patch_id>     AABB_filtered_traits;
+    typename Tree::AABB_traits, Facet_patch_id_map>     AABB_filtered_traits;
 
 private:
   typedef CGAL::Search_traits_3<Kernel>                 KdTreeTraits;
@@ -106,7 +106,7 @@ private:
   //help to accelerate aabb_tree queries in m_ptree
   boost::shared_ptr<Kd_tree> m_kd_tree;
 
-  Get_facet_patch_id m_get_facet_patch_id;
+  Facet_patch_id_map m_facet_patch_id_map;
   const Patches_ids_map& patches_ids_map;
 #endif
 
@@ -136,7 +136,7 @@ public:
     , m_bbox(bbox)
     , m_domain_is_a_box(domain_is_a_box)
 #ifdef CGAL_MESH_3_EXPERIMENTAL_USE_PATCHES_IDS
-    , m_get_facet_patch_id()
+    , m_facet_patch_id_map()
     , patches_ids_map(patches_ids_map)
 #endif
   {
@@ -425,7 +425,7 @@ private:
                                         boundary_ids.begin(),
                                         boundary_ids.end(),
                                         m_ptree->traits(),
-                                        m_get_facet_patch_id);
+                                        m_facet_patch_id_map);
     kd_tree();//build it if needed
     Neighbor_search search(*m_kd_tree, p, 1);
     projection_traits.reset(search.begin()->first);
diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h
index 0807f9cdde1..a2a67d32730 100644
--- a/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Sizing_field_with_aabb_tree.h
@@ -17,7 +17,7 @@
 
 #include <CGAL/Profile_counter.h>
 #include <CGAL/Delaunay_triangulation_3.h>
-#include "Get_facet_patch_id.h"
+#include "Facet_patch_id_map.h"
 #include "Get_curve_index.h"
 #include <CGAL/Mesh_3/Protect_edges_sizing_field.h> // for weight_modifier
 
@@ -32,7 +32,7 @@
 template <typename GeomTraits, typename MeshDomain,
           typename Input_facets_AABB_tree = typename MeshDomain::AABB_tree,
           typename Get_curve_index_ = CGAL::Default,
-          typename Get_facet_patch_id_ = CGAL::Default
+          typename Facet_patch_id_map_ = CGAL::Default
           >
 struct Sizing_field_with_aabb_tree
 {
@@ -66,23 +66,23 @@ struct Sizing_field_with_aabb_tree
     CGAL::Mesh_3::Get_curve_index<typename MeshDomain::Curves_AABB_tree::Primitive>
     >::type Get_curve_index;
   typedef typename CGAL::Default::Get<
-    Get_facet_patch_id_,
+    Facet_patch_id_map_,
     CGAL::Mesh_3::Facet_patch_id_map<MeshDomain,
                                      typename Input_facets_AABB_tree::Primitive>
-    >::type Get_facet_patch_id;
+    >::type Facet_patch_id_map;
 
   Sizing_field_with_aabb_tree
   (typename Kernel_::FT d,
    const Input_facets_AABB_tree_& aabb_tree,
    const MeshDomain& domain,
    Get_curve_index get_curve_index = Get_curve_index(),
-   Get_facet_patch_id get_facet_patch_id = Get_facet_patch_id()
+   Facet_patch_id_map facet_patch_id_map = Facet_patch_id_map()
    )
     : d_(d), aabb_tree(aabb_tree),
       domain(domain),
       dt(),
       get_curve_index(get_curve_index),
-      get_facet_patch_id(get_facet_patch_id)
+      facet_patch_id_map(facet_patch_id_map)
   {
     {
       Corner_index maximal_corner_index = 0;
@@ -231,10 +231,10 @@ struct Sizing_field_with_aabb_tree
 
         CGAL::Mesh_3::Filtered_projection_traits<
           typename Input_facets_AABB_tree_::AABB_traits,
-          Get_facet_patch_id
+          Facet_patch_id_map
           > projection_traits(ids.begin(), ids.end(),
                               aabb_tree.traits(),
-                              get_facet_patch_id);
+                              facet_patch_id_map);
 
         aabb_tree.traversal(p, projection_traits);
 
@@ -258,7 +258,7 @@ struct Sizing_field_with_aabb_tree
                                "Ids are { ")
               % group(setprecision(17),result)
               % group(setprecision(17),p)
-              % CGAL::oformat(get(get_facet_patch_id,
+              % CGAL::oformat(get(facet_patch_id_map,
                                   projection_traits.closest_point_and_primitive().second))
               % group(setprecision(17),
                       projection_traits.closest_point_and_primitive().first);
@@ -294,10 +294,10 @@ struct Sizing_field_with_aabb_tree
         CGAL::Mesh_3::Filtered_projection_traits
           <
             typename Input_facets_AABB_tree_::AABB_traits
-          , Get_facet_patch_id
+          , Facet_patch_id_map
           > projection_traits(ids.begin(), ids.end(),
                               aabb_tree.traits(),
-                              get_facet_patch_id);
+                              facet_patch_id_map);
 
         aabb_tree.traversal(p, projection_traits);
 
@@ -308,7 +308,7 @@ struct Sizing_field_with_aabb_tree
           return result;
         }
 
-        CGAL_assertion(ids.count(get(get_facet_patch_id,
+        CGAL_assertion(ids.count(get(facet_patch_id_map,
                                      projection_traits.closest_point_and_primitive().second)) == 0);
 
         result =
@@ -327,7 +327,7 @@ struct Sizing_field_with_aabb_tree
                              "Closest face id: %4%\n"
                              "Ids are { ")
             % result % p % curve_id
-            % CGAL::oformat(get(get_facet_patch_id,
+            % CGAL::oformat(get(facet_patch_id_map,
                                 projection_traits.closest_point_and_primitive().second));
           for(Patch_index i : ids) {
             s << CGAL::oformat(i) << " ";
@@ -346,7 +346,7 @@ struct Sizing_field_with_aabb_tree
                              "Closest face id: %4%\n"
                              "Ids are { ")
             % result % p % curve_id
-            % CGAL::oformat(get(get_facet_patch_id,
+            % CGAL::oformat(get(facet_patch_id_map,
                                 projection_traits.closest_point_and_primitive().second));
           for(Patch_index i : ids) {
             s << CGAL::oformat(i) << " ";
@@ -528,7 +528,7 @@ private:
   Corners_incident_patches  corners_incident_patches;
   Corners_incident_curves   corners_incident_curves;
   Get_curve_index     get_curve_index;
-  Get_facet_patch_id  get_facet_patch_id;
+  Facet_patch_id_map  facet_patch_id_map;
 };
 
 #endif // CGAL_MESH_3_SIZING_FIELD_WITH_AABB_TREE_H
diff --git a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
index 4e5ee780351..2763f615c05 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
+++ b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
@@ -35,7 +35,6 @@
 #include <CGAL/use.h>
 
 #include <boost/any.hpp>
-#include <CGAL/Mesh_3/experimental/Get_facet_patch_id.h>
 
 namespace CGAL {
   class Image_3;

From 92c80c4203b2a8b32f6264dbb0b6fcec7040b2e1 Mon Sep 17 00:00:00 2001
From: Simon Giraudot <simon.giraudot@geometryfactory.com>
Date: Tue, 26 Jan 2021 08:44:03 +0100
Subject: [PATCH 207/317] Fix outdated CGAL Eigen importent target

---
 .../demo/Polyhedron/Plugins/Classification/CMakeLists.txt       | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt b/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt
index 7c63ffd2a22..04aff587cb9 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/Plugins/Classification/CMakeLists.txt
@@ -60,7 +60,7 @@ if(TARGET CGAL::Eigen3_support)
     scene_surface_mesh_item
     scene_selection_item
     scene_color_ramp
-    CGAL::Eigen_support)
+    CGAL::Eigen3_support)
 
   if(TARGET CGAL::Boost_serialization_support AND TARGET CGAL::Boost_iostreams_support)
     target_link_libraries(classification_plugin PUBLIC

From 02d5819b5b16e3f9aedcf58120dc4c4a482c5e63 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 26 Jan 2021 09:35:13 +0100
Subject: [PATCH 208/317] Fixes

---
 BGL/test/BGL/test_deprecated_io.cpp                      | 4 ++--
 Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp   | 4 ++--
 .../test_deprecated_io_point_set.cpp                     | 9 ++++-----
 Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h   | 4 ++--
 4 files changed, 10 insertions(+), 11 deletions(-)

diff --git a/BGL/test/BGL/test_deprecated_io.cpp b/BGL/test/BGL/test_deprecated_io.cpp
index b2d48d4c8ca..e66247ffc1b 100644
--- a/BGL/test/BGL/test_deprecated_io.cpp
+++ b/BGL/test/BGL/test_deprecated_io.cpp
@@ -37,7 +37,7 @@ int main()
   assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
   is.close();
   sm_in.clear();
-
+#ifdef CGAL_USE_VTK
   //vtk
   os.open("tmp.vtp");
   ok = CGAL::write_vtp(os, sm_out, CGAL::parameters::all_default());
@@ -48,7 +48,7 @@ int main()
   assert(ok);
   assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
   sm_in.clear();
-
+#endif
   //wrl
   os.open("tmp.wrl");
   ok = CGAL::write_wrl(os, sm_out, CGAL::parameters::all_default());
diff --git a/Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp b/Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp
index 6d3a124c357..8876da2d1aa 100644
--- a/Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp
+++ b/Point_set_3/test/Point_set_3/test_deprecated_io_ps.cpp
@@ -27,11 +27,11 @@ int main()
     return EXIT_FAILURE;
   }
   is.close();
-
+  bool ok = false;
 #ifdef CGAL_LINKED_WITH_LASLIB
   //LAS
   os.open("tmp.las", std::ios::binary);
-  bool ok = CGAL::write_las_point_set(os, ps);
+  ok = CGAL::write_las_point_set(os, ps);
   os.close();
   assert (ok);
 
diff --git a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
index cc55bce3918..1327b5854ce 100644
--- a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
+++ b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
@@ -80,6 +80,10 @@ points[2] = std::make_pair(Point_3(0,0,1), Color{0,0,255,255});
 std::ofstream os;
 std::ifstream is;
 bool ok;
+std::vector<Point_3> ps;
+ps.push_back(Point_3(1,0,0));
+ps.push_back(Point_3(0,1,0));
+ps.push_back(Point_3(0,0,1));
 //LAS
 #ifdef CGAL_LINKED_WITH_LASLIB
 os.open("tmp.las", std::ios::binary);
@@ -107,11 +111,6 @@ assert(ok);
 assert(points.size() == 3);
 assert(points[1].second[1] == 255);
 
-std::vector<Point_3> ps;
-ps.push_back(Point_3(1,0,0));
-ps.push_back(Point_3(0,1,0));
-ps.push_back(Point_3(0,0,1));
-
 os.open("tmp.las", std::ios_base::binary);
 CGAL::write_las_points(os, ps, CGAL::parameters::all_default());
 os.close();
diff --git a/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h b/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h
index 618dc6c2959..5659c0c800f 100644
--- a/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h
+++ b/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h
@@ -28,9 +28,9 @@ template <class Traits,
 VRML_2_ostream& operator<<(VRML_2_ostream& out,
                            const Polyhedron_3<Traits, Items, HDS, Alloc>& P)
 {
-  IO::internal::Generic_facegraph_printer<VRML_2_ostream,
+  IO::internal::Generic_facegraph_printer<std::ostream,
                                           Polyhedron_3<Traits, Items, HDS, Alloc>,
-                                          File_writer_VRML_2> printer(out);
+                                          File_writer_VRML_2> printer(out.os());
   printer(P);
 
   return out;

From a85cf6ed52eade983031312d831a66ebd0591f17 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 26 Jan 2021 09:45:18 +0100
Subject: [PATCH 209/317] Move the include in the ifdef

---
 Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h    | 2 +-
 Nef_3/include/CGAL/draw_nef_3.h                                | 2 +-
 .../include/CGAL/draw_periodic_2_triangulation_2.h             | 2 +-
 Point_set_3/include/CGAL/draw_point_set_3.h                    | 2 +-
 Polygon/include/CGAL/draw_polygon_2.h                          | 3 +--
 Polygon/include/CGAL/draw_polygon_with_holes_2.h               | 3 +--
 Polyhedron/include/CGAL/draw_polyhedron.h                      | 3 +--
 Surface_mesh/include/CGAL/draw_surface_mesh.h                  | 2 +-
 .../include/CGAL/draw_face_graph_with_paths.h                  | 2 +-
 Triangulation_2/include/CGAL/draw_triangulation_2.h            | 2 +-
 Triangulation_3/include/CGAL/draw_triangulation_3.h            | 2 +-
 Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h        | 2 +-
 12 files changed, 12 insertions(+), 15 deletions(-)

diff --git a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
index 8a3a34b6523..1464fde443a 100644
--- a/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
+++ b/Linear_cell_complex/include/CGAL/draw_linear_cell_complex.h
@@ -13,9 +13,9 @@
 #define CGAL_DRAW_LCC_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
+#include <CGAL/Qt/init_ogl_context.h>
 
 #include <CGAL/Linear_cell_complex_operations.h>
 #include <CGAL/Random.h>
diff --git a/Nef_3/include/CGAL/draw_nef_3.h b/Nef_3/include/CGAL/draw_nef_3.h
index 1f397471e6c..bcdb6c61ae3 100644
--- a/Nef_3/include/CGAL/draw_nef_3.h
+++ b/Nef_3/include/CGAL/draw_nef_3.h
@@ -15,10 +15,10 @@
 
 #include <CGAL/license/Nef_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Nef_3/SNC_iteration.h>
 #include <CGAL/circulator.h>
 #include <CGAL/Random.h>
diff --git a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
index 6e192e321fd..e4859ea033f 100644
--- a/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
+++ b/Periodic_2_triangulation_2/include/CGAL/draw_periodic_2_triangulation_2.h
@@ -14,10 +14,10 @@
 
 #include <CGAL/license/Periodic_2_triangulation_2.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Random.h>
 
diff --git a/Point_set_3/include/CGAL/draw_point_set_3.h b/Point_set_3/include/CGAL/draw_point_set_3.h
index ef02b438a68..510ba937a0c 100644
--- a/Point_set_3/include/CGAL/draw_point_set_3.h
+++ b/Point_set_3/include/CGAL/draw_point_set_3.h
@@ -15,7 +15,6 @@
 
 #include <CGAL/license/Point_set_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -36,6 +35,7 @@ void draw(const PS& aps);
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Point_set_3.h>
 #include <CGAL/Random.h>
 
diff --git a/Polygon/include/CGAL/draw_polygon_2.h b/Polygon/include/CGAL/draw_polygon_2.h
index fe31f51deca..60522c9263d 100644
--- a/Polygon/include/CGAL/draw_polygon_2.h
+++ b/Polygon/include/CGAL/draw_polygon_2.h
@@ -18,7 +18,6 @@
 #define CGAL_DRAW_POLYGON_2_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -39,7 +38,7 @@ void draw(const P& ap);
 #endif
 
 #ifdef CGAL_USE_BASIC_VIEWER
-
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Polygon_2.h>
 #include <CGAL/Random.h>
 
diff --git a/Polygon/include/CGAL/draw_polygon_with_holes_2.h b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
index 0b9d5260c1f..0781eb883f7 100644
--- a/Polygon/include/CGAL/draw_polygon_with_holes_2.h
+++ b/Polygon/include/CGAL/draw_polygon_with_holes_2.h
@@ -18,7 +18,6 @@
 #define CGAL_DRAW_POLYGON_WITH_HOLES_2_H
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
@@ -38,7 +37,7 @@ void draw(const PH& aph);
 #endif
 
 #ifdef CGAL_USE_BASIC_VIEWER
-
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Polygon_with_holes_2.h>
 #include <CGAL/Random.h>
 
diff --git a/Polyhedron/include/CGAL/draw_polyhedron.h b/Polyhedron/include/CGAL/draw_polyhedron.h
index 58610cd5891..1800b380900 100644
--- a/Polyhedron/include/CGAL/draw_polyhedron.h
+++ b/Polyhedron/include/CGAL/draw_polyhedron.h
@@ -14,10 +14,9 @@
 
 #include <CGAL/license/Polyhedron.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
-
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Polyhedron_3.h>
 #include <CGAL/Random.h>
 
diff --git a/Surface_mesh/include/CGAL/draw_surface_mesh.h b/Surface_mesh/include/CGAL/draw_surface_mesh.h
index 5ebbc221af3..4710d00046c 100644
--- a/Surface_mesh/include/CGAL/draw_surface_mesh.h
+++ b/Surface_mesh/include/CGAL/draw_surface_mesh.h
@@ -29,10 +29,10 @@ void draw(const SM& asm);
 
 #include <CGAL/license/Surface_mesh.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Surface_mesh.h>
 #include <CGAL/Random.h>
 
diff --git a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
index dfa4af1cc26..726cf03efd1 100644
--- a/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
+++ b/Surface_mesh_topology/include/CGAL/draw_face_graph_with_paths.h
@@ -18,10 +18,10 @@
 #include <initializer_list>
 #include <CGAL/draw_linear_cell_complex.h>
 #include <CGAL/Path_on_surface.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Random.h>
 
 namespace CGAL {
diff --git a/Triangulation_2/include/CGAL/draw_triangulation_2.h b/Triangulation_2/include/CGAL/draw_triangulation_2.h
index a5a0f5331d2..fef579d2ff0 100644
--- a/Triangulation_2/include/CGAL/draw_triangulation_2.h
+++ b/Triangulation_2/include/CGAL/draw_triangulation_2.h
@@ -14,10 +14,10 @@
 
 #include <CGAL/license/Triangulation_2.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Triangulation_2.h>
 #include <CGAL/Random.h>
 
diff --git a/Triangulation_3/include/CGAL/draw_triangulation_3.h b/Triangulation_3/include/CGAL/draw_triangulation_3.h
index 4cac6b42526..0c778ca08a7 100644
--- a/Triangulation_3/include/CGAL/draw_triangulation_3.h
+++ b/Triangulation_3/include/CGAL/draw_triangulation_3.h
@@ -14,10 +14,10 @@
 
 #include <CGAL/license/Triangulation_3.h>
 #include <CGAL/Qt/Basic_viewer_qt.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Triangulation_3.h>
 #include <CGAL/Random.h>
 
diff --git a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
index 53c38de359e..66f7d364293 100644
--- a/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
+++ b/Voronoi_diagram_2/include/CGAL/draw_voronoi_diagram_2.h
@@ -14,10 +14,10 @@
 
 #include <CGAL/Qt/Basic_viewer_qt.h>
 #include <CGAL/license/Voronoi_diagram_2.h>
-#include <CGAL/Qt/init_ogl_context.h>
 
 #ifdef CGAL_USE_BASIC_VIEWER
 
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Random.h>
 #include <CGAL/Triangulation_utils_2.h>
 #include <CGAL/Voronoi_diagram_2/Face.h>

From 7cf6a3bed05dcc88176b05743abc34276e77da79 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 26 Jan 2021 10:05:13 +0100
Subject: [PATCH 210/317] Fix VRML_2 logic

---
 BGL/include/CGAL/boost/graph/IO/WRL.h                    | 7 ++++---
 Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h   | 4 ++--
 Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h | 6 +++---
 Stream_support/include/CGAL/IO/polygon_soup_io.h         | 3 ---
 4 files changed, 9 insertions(+), 11 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/IO/WRL.h b/BGL/include/CGAL/boost/graph/IO/WRL.h
index c9d2f69b6b5..8f63b2e82ae 100644
--- a/BGL/include/CGAL/boost/graph/IO/WRL.h
+++ b/BGL/include/CGAL/boost/graph/IO/WRL.h
@@ -70,7 +70,8 @@ bool write_WRL(std::ostream& os,
                const Graph& g,
                const CGAL_BGL_NP_CLASS& np)
 {
-  IO::internal::Generic_facegraph_printer<std::ostream, Graph, CGAL::File_writer_VRML_2> printer(os);
+  CGAL::VRML_2_ostream vos(os);
+  IO::internal::Generic_facegraph_printer<CGAL::VRML_2_ostream, Graph, CGAL::File_writer_VRML_2> printer(vos);
   return printer(g, np);
 }
 
@@ -108,8 +109,8 @@ bool write_WRL(std::ostream& os,
 template <typename Graph, typename CGAL_BGL_NP_TEMPLATE_PARAMETERS>
 bool write_WRL(const std::string& fname, const Graph& g, const CGAL_BGL_NP_CLASS& np)
 {
-  std::ifstream is(fname);
-  return write_WRL(is, g, np);
+  std::ofstream os(fname);
+  return write_WRL(os, g, np);
 }
 
 template <typename Graph>
diff --git a/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h b/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h
index 5659c0c800f..618dc6c2959 100644
--- a/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h
+++ b/Polyhedron/include/CGAL/IO/Polyhedron_VRML_2_ostream.h
@@ -28,9 +28,9 @@ template <class Traits,
 VRML_2_ostream& operator<<(VRML_2_ostream& out,
                            const Polyhedron_3<Traits, Items, HDS, Alloc>& P)
 {
-  IO::internal::Generic_facegraph_printer<std::ostream,
+  IO::internal::Generic_facegraph_printer<VRML_2_ostream,
                                           Polyhedron_3<Traits, Items, HDS, Alloc>,
-                                          File_writer_VRML_2> printer(out.os());
+                                          File_writer_VRML_2> printer(out);
   printer(P);
 
   return out;
diff --git a/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h b/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
index 86f501a35df..6bc7249d1f5 100644
--- a/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
+++ b/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
@@ -37,15 +37,15 @@ public:
 
   std::ostream& out() const { return m_os.os(); }
 
-  void write_header(std::ostream& o,
+  void write_header(VRML_2_ostream& o,
                     std::size_t vertices,
                     std::size_t halfedges,
                     std::size_t facets,
                     const bool /*colors*/ = false,
                     const bool /*normals*/ = false,
-                    const bool /*textures*/ = false)
+                    const bool /*te xtures*/ = false)
   {
-    m_os = VRML_2_ostream(o);
+    m_os = o;
     m_facets = facets;
 
     out() << "        #-- Begin of Polygon Mesh\n";
diff --git a/Stream_support/include/CGAL/IO/polygon_soup_io.h b/Stream_support/include/CGAL/IO/polygon_soup_io.h
index c5814f34be1..718e95f317a 100644
--- a/Stream_support/include/CGAL/IO/polygon_soup_io.h
+++ b/Stream_support/include/CGAL/IO/polygon_soup_io.h
@@ -18,12 +18,9 @@
 #include <CGAL/IO/3MF.h>
 #include <CGAL/IO/OBJ.h>
 #include <CGAL/IO/OFF.h>
-// #include <CGAL/IO/OI.h>
 #include <CGAL/IO/PLY.h>
 #include <CGAL/IO/STL.h>
-// #include <CGAL/IO/VRML.h>
 #include <CGAL/IO/VTK.h>
-// #include <CGAL/IO/WKT.h>
 #include <CGAL/IO/GOCAD.h>
 
 #include <algorithm>

From d78842712cdfcbb3bdfc5f7cb252d3772fd6a16f Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 26 Jan 2021 09:55:20 +0100
Subject: [PATCH 211/317] Fix conversion warnigns

---
 Nef_2/include/CGAL/Nef_2/PM_io_parser.h  |  8 ++++----
 Nef_3/include/CGAL/Nef_3/SNC_io_parser.h | 18 +++++++++---------
 2 files changed, 13 insertions(+), 13 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
index d08b08180d6..39b99b37d7c 100644
--- a/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
+++ b/Nef_2/include/CGAL/Nef_2/PM_io_parser.h
@@ -200,7 +200,7 @@ bool PM_io_parser<PMDEC>::read_vertex(Vertex_handle v)
        !(in >> p) ||
        !check_sep("}") ) return false;
 
-  if(!(f >= 0 && ((iso && f < fn) || (!iso && f < en))))
+  if(!(f >= 0 && ((iso && (std::size_t)f < fn) || (!iso && (std::size_t)f < en))))
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -276,14 +276,14 @@ bool PM_io_parser<PMDEC>::read_face(Face_handle f)
   int n, ei, vi; Mark m;
   if ( !(in >> n) || !check_sep("{") ) return false;
   if ( !(in >> ei) || !check_sep(",") ) return false;
-  if (ei >= 0 && ei < en)
+  if (ei >= 0 && (std::size_t) ei < en)
   {
     f->set_halfedge(Halfedge_of[ei]);
   }
 
   while (in >> ei) {
     CGAL_assertion_msg(ei >= 0 && (std::size_t) ei < en, "wrong index in face cycle list.");
-    if (!(ei >= 0 && ei < en))
+    if (!(ei >= 0 && (std::size_t)ei < en))
     {
       in.setstate(std::ios_base::badbit);
       return false;
@@ -293,7 +293,7 @@ bool PM_io_parser<PMDEC>::read_face(Face_handle f)
   if (!check_sep(",")) { return false; }
   while (in >> vi) {
     CGAL_assertion_msg(vi >= 0 && (std::size_t) vi < vn, "wrong index in iso vertex list.");
-    if (!(vi >= 0 && vi < vn))
+    if (!(vi >= 0 && (std::size_t)vi < vn))
     {
       in.setstate(std::ios_base::badbit);
       return false;
diff --git a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
index e5530445153..1dde7f8d0b3 100644
--- a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
+++ b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
@@ -1579,7 +1579,7 @@ read_vertex(Vertex_handle vh) {
   vh->sncp() = this->sncp();
 
   in >> index;
-  if(index >= int(en))
+  if(index >= (int)en)
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -2016,7 +2016,7 @@ read_sloop(SHalfloop_handle slh) {
   OK = OK && test_string("{");
 
   in >> index;
-  if(index < 0 || index >= sln)
+  if(index < 0 || index >= (int)(sln))
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -2024,7 +2024,7 @@ read_sloop(SHalfloop_handle slh) {
   slh->twin() = SLoop_of[index];
   OK = OK && test_string(",");
   in >> index;
-  if(index < 0 || index >= sfn)
+  if(index < 0 || index >= (int)(sfn))
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -2032,7 +2032,7 @@ read_sloop(SHalfloop_handle slh) {
   slh->incident_sface() = SFace_of[index];
   OK = OK && test_string(",");
   in >> index;
-  if(index < 0 || index >= fn)
+  if(index < 0 || index >= (int)(fn))
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -2083,7 +2083,7 @@ read_sface(SFace_handle sfh) {
   OK = OK && test_string("{");
 
   in >> index;
-  if(index < 0 || index >= vn)
+  if(index < 0 || index >= (int)(sln))
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -2097,7 +2097,7 @@ read_sface(SFace_handle sfh) {
     in >> index;
     //    sfh->boundary_entry_objects().push_back(SEdge_of[index]);
     SM_decorator SD(&*sfh->center_vertex());
-    if(index < 0 || index >= sen)
+    if(index < 0 || index >= (int)(sln))
     {
       in.setstate(std::ios_base::badbit);
       return false;
@@ -2110,7 +2110,7 @@ read_sface(SFace_handle sfh) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
-    if(index < 0 || index >= en)
+    if(index < 0 || index >= (int)(sln))
     {
       in.setstate(std::ios_base::badbit);
       return false;
@@ -2124,7 +2124,7 @@ read_sface(SFace_handle sfh) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
-    if(index < 0 || index >= sln)
+    if(index < 0 || index >= (int)(sln))
     {
       in.setstate(std::ios_base::badbit);
       return false;
@@ -2135,7 +2135,7 @@ read_sface(SFace_handle sfh) {
   }
 
   in >> index;
-  if(index < 0 || index >= vn)
+  if(index < 0 || index >= (int)(sln))
   {
     in.setstate(std::ios_base::badbit);
     return false;

From 3551d0224bc84911463944edc948019c82001dbb Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 26 Jan 2021 10:38:03 +0100
Subject: [PATCH 212/317] fixed IO interface + the bug with misplaced
 assertions

---
 .../internal/Hole_filling/Triangulate_hole_polyline.h         | 2 ++
 .../include/CGAL/Polygon_mesh_processing/triangulate_hole.h   | 2 +-
 .../triangulate_hole_with_cdt_2_test.cpp                      | 4 ++--
 3 files changed, 5 insertions(+), 3 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index b7db5e2e80d..606a5a5f5b8 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1263,6 +1263,7 @@ bool is_planar_2(
   }
 
   // Here, avg_squared_distance is a little bit more tolerant than avg_distance^2.
+  CGAL_assertion(avg_normal != Vector_3());
   const Plane_3 plane = Plane_3(centroid, avg_normal);
   FT avg_squared_distance = FT(0);
   for (std::size_t i = 0; i < n; ++i) {
@@ -1273,6 +1274,7 @@ bool is_planar_2(
   avg_squared_distance /= static_cast<FT>(n);
   // std::cout << "avg squared distance: " << avg_squared_distance << std::endl;
 
+  CGAL_assertion(max_squared_distance >= FT(0));
   if (avg_squared_distance > max_squared_distance) {
     return false; // the user distance criteria are not satisfied!
   }
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index be8ec391de8..9c61f808406 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -167,8 +167,8 @@ namespace Polygon_mesh_processing {
       max_squared_distance = default_squared_distance;
       if (threshold_distance >= typename GeomTraits::FT(0))
         max_squared_distance = threshold_distance * threshold_distance;
+      CGAL_assertion(max_squared_distance >= typename GeomTraits::FT(0));
     }
-    CGAL_assertion(max_squared_distance >= typename GeomTraits::FT(0));
 
     return internal::triangulate_hole_polygon_mesh(
       pmesh,
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
index 2e656139b3e..3a22ddec348 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/triangulate_hole_with_cdt_2_test.cpp
@@ -64,7 +64,7 @@ void test_triangulate_hole_with_cdt_2(
   std::string path = "data/" + file_name + ".off";
   std::ifstream in(path.c_str(), std::ios_base::in);
   CGAL::set_ascii_mode(in);
-  CGAL::read_off(in, pmesh);
+  CGAL::read_OFF(in, pmesh);
   in.close();
   if (verbose) {
     std::cout << "* finished reading the file" << std::endl;
@@ -109,7 +109,7 @@ void test_triangulate_hole_with_cdt_2(
     path += "4464_" + file_name + ".off";
     std::ofstream out(path.c_str(), std::ios_base::out);
     CGAL::set_ascii_mode(out);
-    CGAL::write_off(out, pmesh);
+    CGAL::write_OFF(out, pmesh);
     out.close();
     std::cout << "* finished writing the file" << std::endl;
   }

From 19a10eddfce84f93bf2db3d1c171a449abb9c667 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 26 Jan 2021 10:40:06 +0100
Subject: [PATCH 213/317] add missing overloads

---
 BGL/include/CGAL/boost/graph/IO/OFF.h | 23 +++++++++++++++++++++++
 BGL/include/CGAL/boost/graph/IO/VTK.h |  6 ++++++
 BGL/include/CGAL/boost/graph/IO/WRL.h |  6 ++++++
 BGL/test/BGL/test_deprecated_io.cpp   | 14 +++++++-------
 4 files changed, 42 insertions(+), 7 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/IO/OFF.h b/BGL/include/CGAL/boost/graph/IO/OFF.h
index 507bc04467d..a3bee6c7d13 100644
--- a/BGL/include/CGAL/boost/graph/IO/OFF.h
+++ b/BGL/include/CGAL/boost/graph/IO/OFF.h
@@ -300,6 +300,19 @@ CGAL_DEPRECATED bool read_off(const char* fname, Graph& g, const CGAL_BGL_NP_CLA
  return read_OFF(fname, g, np);
 }
 
+
+template <typename Graph>
+CGAL_DEPRECATED bool read_off(std::istream& is, Graph& g)
+{
+  return read_off(is, g, parameters::all_default());
+}
+
+template <typename Graph>
+CGAL_DEPRECATED bool read_off(const char* fname, Graph& g)
+{
+ return read_off(fname, g, parameters::all_default());
+}
+
 #endif // CGAL_NO_DEPRECATED_CODE
 
 ////////////////////////////////////////////////////////////////////////////////////////////////////
@@ -510,6 +523,11 @@ CGAL_DEPRECATED bool write_off(std::ostream& os, const Graph& g, const CGAL_BGL_
   return write_OFF(os, g, np);
 }
 
+template <typename Graph>
+CGAL_DEPRECATED bool write_off(std::ostream& os, const Graph& g)
+{
+  return write_off(os, g, CGAL::parameters::all_default());
+}
 /*!
 \ingroup PkgBGLIOFctDeprecated
 
@@ -521,6 +539,11 @@ CGAL_DEPRECATED bool write_off(const char* fname, const Graph& g, const CGAL_BGL
  return write_OFF(fname, g, np);
 }
 
+template <typename Graph>
+CGAL_DEPRECATED bool write_off(const char* fname, const Graph& g)
+{
+  return write_off(fname, g, parameters::all_default());
+}
 #endif // CGAL_NO_DEPRECATED_CODE
 
 } // namespace CGAL
diff --git a/BGL/include/CGAL/boost/graph/IO/VTK.h b/BGL/include/CGAL/boost/graph/IO/VTK.h
index 1ba37f19d6c..4715e954ea3 100644
--- a/BGL/include/CGAL/boost/graph/IO/VTK.h
+++ b/BGL/include/CGAL/boost/graph/IO/VTK.h
@@ -564,6 +564,12 @@ CGAL_DEPRECATED bool write_vtp(std::ostream& os, const Graph& g, const CGAL_BGL_
   return write_VTP(os, g, np);
 }
 
+template <typename Graph>
+CGAL_DEPRECATED bool write_vtp(std::ostream& os, const Graph& g)
+{
+  return write_vtp(os, g, parameters::all_default());
+}
+
 #endif // CGAL_NO_DEPRECATED_CODE
 
 } // namespace CGAL
diff --git a/BGL/include/CGAL/boost/graph/IO/WRL.h b/BGL/include/CGAL/boost/graph/IO/WRL.h
index 8f63b2e82ae..40b5af310c9 100644
--- a/BGL/include/CGAL/boost/graph/IO/WRL.h
+++ b/BGL/include/CGAL/boost/graph/IO/WRL.h
@@ -131,6 +131,12 @@ CGAL_DEPRECATED bool write_wrl(std::ostream& os, const Graph& g, const CGAL_BGL_
   return write_WRL(os, g, np);
 }
 
+template <typename Graph>
+CGAL_DEPRECATED bool write_wrl(std::ostream& os, const Graph& g)
+{
+  return write_wrl(os, g, parameters::all_default());
+}
+
 #endif // CGAL_NO_DEPRECATED_CODE
 
 } // namespace CGAL
diff --git a/BGL/test/BGL/test_deprecated_io.cpp b/BGL/test/BGL/test_deprecated_io.cpp
index e66247ffc1b..5bd037191cc 100644
--- a/BGL/test/BGL/test_deprecated_io.cpp
+++ b/BGL/test/BGL/test_deprecated_io.cpp
@@ -20,19 +20,19 @@ int main()
   SM sm_in, sm_out;
   Point_3 p0(0,0,0), p1(1,0,0), p2(0,1,0);
   CGAL::make_triangle(p0, p1, p2, sm_out);
-  bool ok = CGAL::write_off("tmp.off", sm_out, CGAL::parameters::all_default());
+  bool ok = CGAL::write_off("tmp.off", sm_out);
   assert(ok);
-  ok = CGAL::read_off("tmp.off", sm_in, CGAL::parameters::all_default());
+  ok = CGAL::read_off("tmp.off", sm_in);
   assert(ok);
   assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
   sm_in.clear();
 
   std::ofstream os("tmp.off");
-  ok = CGAL::write_off(os, sm_out, CGAL::parameters::all_default());
+  ok = CGAL::write_off(os, sm_out);
   assert(ok);
   os.close();
   std::ifstream is("tmp.off");
-  ok = CGAL::read_off(is, sm_in, CGAL::parameters::all_default());
+  ok = CGAL::read_off(is, sm_in);
   assert(ok);
   assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
   is.close();
@@ -40,18 +40,18 @@ int main()
 #ifdef CGAL_USE_VTK
   //vtk
   os.open("tmp.vtp");
-  ok = CGAL::write_vtp(os, sm_out, CGAL::parameters::all_default());
+  ok = CGAL::write_vtp(os, sm_out);
   assert(ok);
   os.close();
 
-  ok = CGAL::read_VTP("tmp.vtp", sm_in, CGAL::parameters::all_default());
+  ok = CGAL::read_VTP("tmp.vtp", sm_in);
   assert(ok);
   assert(num_vertices(sm_in) == 3 && num_faces(sm_in) == 1);
   sm_in.clear();
 #endif
   //wrl
   os.open("tmp.wrl");
-  ok = CGAL::write_wrl(os, sm_out, CGAL::parameters::all_default());
+  ok = CGAL::write_wrl(os, sm_out);
   assert(ok);
   os.close();
   return EXIT_SUCCESS;

From 56a0cb15e42548b425dad3e8aa2a156271cb524b Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Tue, 26 Jan 2021 10:48:17 +0100
Subject: [PATCH 214/317] added missing type

---
 .../internal/Hole_filling/Triangulate_hole_polyline.h            | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 606a5a5f5b8..f51ca3e861c 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1221,6 +1221,7 @@ bool is_planar_2(
   typedef typename Traits::FT FT;
   typedef typename Traits::Point_3 Point_3;
   typedef typename Traits::Plane_3 Plane_3;
+  typedef typename Traits::Vector_3 Vector_3;
   typedef typename Traits::Construct_projected_point_3 Projection_3;
   typedef typename Traits::Compute_squared_distance_3 Squared_distance_3;
 

From bd75d6f4d84196288a76929393c504ca555dfd3e Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Tue, 26 Jan 2021 13:31:26 +0000
Subject: [PATCH 215/317] Filtered Kernel: Add static filter for
 Compare_distance_3

---
 .../Static_filters/Compare_distance_3.h       | 166 ++++++++++++++++++
 .../internal/Static_filters/Static_filters.h  |   7 +-
 2 files changed, 172 insertions(+), 1 deletion(-)
 create mode 100644 Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h

diff --git a/Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h b/Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h
new file mode 100644
index 00000000000..4f63ac19eb9
--- /dev/null
+++ b/Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h
@@ -0,0 +1,166 @@
+// Copyright (c) 2011 GeometryFactory Sarl (France)
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org)
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
+//
+//
+// Author(s)     : Andreas Fabri
+
+
+#ifndef CGAL_INTERNAL_STATIC_FILTERS_COMPARE_DISTANCE_3_H
+#define CGAL_INTERNAL_STATIC_FILTERS_COMPARE_DISTANCE_3_H
+
+#include <CGAL/Profile_counter.h>
+#include <CGAL/internal/Static_filters/tools.h>
+#include <cmath>
+#include <iostream>
+
+namespace CGAL {
+
+namespace internal {
+
+namespace Static_filters_predicates {
+
+
+template < typename K_base >
+class Compare_distance_3
+  : public K_base::Compare_distance_3
+{
+  typedef typename K_base::Point_3   Point_3;
+  typedef typename K_base::Vector_3  Vector_3;
+  typedef typename K_base::Compare_distance_3   Base;
+
+public:
+
+  typedef typename Base::result_type  result_type;
+
+  using Base::operator();
+
+  result_type operator()(const Point_3 &p, const Point_3& q, const Point_3& r) const
+  {
+    CGAL_BRANCH_PROFILER(std::string("semi-static attempts/calls to   : ") +
+                         std::string(CGAL_PRETTY_FUNCTION), tmp);
+
+    Get_approx<Point_3> get_approx; // Identity functor for all points
+                                    // but lazy points
+
+    if(q == r){
+      return EQUAL;
+    }
+    double px, py, pz, qx, qy, qz, rx, ry, rz;
+
+    if (fit_in_double(get_approx(p).x(), px) && fit_in_double(get_approx(p).y(), py) &&
+        fit_in_double(get_approx(p).z(), pz) &&
+        fit_in_double(get_approx(q).x(), qx) && fit_in_double(get_approx(q).y(), qy) &&
+        fit_in_double(get_approx(q).z(), qz) &&
+        fit_in_double(get_approx(r).x(), rx) && fit_in_double(get_approx(r).y(), ry) &&
+        fit_in_double(get_approx(r).z(), rz))
+    {
+      CGAL_BRANCH_PROFILER_BRANCH(tmp);
+      double qpx;
+      qpx = (qx - px);
+      double qpy;
+      qpy = (qy - py);
+      double qpz;
+      qpz = (qz - pz);
+      double qp2;
+      qp2 = ((square( qpx ) + square( qpy )) + square( qpz ));
+      double rpx;
+      rpx = (rx - px);
+      double rpy;
+      rpy = (ry - py);
+      double rpz;
+      rpz = (rz - pz);
+      double rp2;
+      rp2 = ((square( rpx ) + square( rpy )) + square( rpz ));
+      Sign int_tmp_result = EQUAL;
+      double double_tmp_result;
+      double eps;
+      double_tmp_result = (qp2 - rp2);
+      double max1 = CGAL::abs(qpx);
+      if( (max1 < CGAL::abs(qpy)) )
+        {
+          max1 = CGAL::abs(qpy);
+        }
+      if( (max1 < CGAL::abs(qpz)) )
+        {
+          max1 = CGAL::abs(qpz);
+        }
+      if( (max1 < CGAL::abs(rpx)) )
+        {
+          max1 = CGAL::abs(rpx);
+        }
+      if( (max1 < CGAL::abs(rpy)) )
+        {
+          max1 = CGAL::abs(rpy);
+        }
+      if( (max1 < CGAL::abs(rpz)) )
+        {
+          max1 = CGAL::abs(rpz);
+        }
+      if( (max1 < 2.42701102401884262260e-147) )
+        {
+          return Base::operator()(p, q, r);
+        }
+      else
+        {
+          if( (max1 > 8.37987995621411946582e+152) )
+            {
+              return Base::operator()(p, q, r);
+            }
+          eps = (3.77746921267322435884e-15 * (max1 * max1));
+          if( (double_tmp_result > eps) )
+            {
+              int_tmp_result = LARGER;
+            }
+          else
+            {
+              if( (double_tmp_result < -eps) )
+                {
+                  int_tmp_result = SMALLER;
+                }
+              else
+                {
+                  return Base::operator()(p, q, r);
+                }
+            }
+        }
+      return int_tmp_result;
+    }
+    return Base::operator()(p, q, r);
+  }
+
+
+  result_type operator()(const Vector_3 &p, const Vector_3& q) const
+  {
+    CGAL_BRANCH_PROFILER(std::string("semi-static attempts/calls to   : ") +
+                         std::string(CGAL_PRETTY_FUNCTION), tmp);
+
+    Get_approx<Vector_3> get_approx; // Identity functor for all points
+                                     // but lazy points
+    double px, py, pz, qx, qy, qz;
+
+    if (fit_in_double(get_approx(p).x(), px) && fit_in_double(get_approx(p).y(), py) &&
+        fit_in_double(get_approx(p).z(), pz) &&
+        fit_in_double(get_approx(q).x(), qx) && fit_in_double(get_approx(q).y(), qy) &&
+        fit_in_double(get_approx(q).z(), qz) )
+    {
+      CGAL_BRANCH_PROFILER_BRANCH(tmp);
+      return px == qx && py == qy && pz == qz;
+    }
+    return Base::operator()(p, q);
+  }
+
+}; // end class Compare_distance_3
+
+} // end namespace Static_filters_predicates
+
+} // end namespace internal
+
+} // end namespace CGAL
+
+#endif  // CGAL_INTERNAL_STATIC_FILTERS_COMPARE_DISTANCE_3_H
diff --git a/Filtered_kernel/include/CGAL/internal/Static_filters/Static_filters.h b/Filtered_kernel/include/CGAL/internal/Static_filters/Static_filters.h
index 7d03fa1217c..1aa86abb78a 100644
--- a/Filtered_kernel/include/CGAL/internal/Static_filters/Static_filters.h
+++ b/Filtered_kernel/include/CGAL/internal/Static_filters/Static_filters.h
@@ -71,7 +71,7 @@
 #include <CGAL/internal/Static_filters/Compare_squared_radius_3.h>
 #include <CGAL/internal/Static_filters/Compare_weighted_squared_radius_3.h>
 #include <CGAL/internal/Static_filters/Power_side_of_oriented_power_sphere_3.h>
-
+#include <CGAL/internal/Static_filters/Compare_distance_3.h>
 
 // #include <CGAL/internal/Static_filters/Coplanar_orientation_3.h>
 // #include <CGAL/internal/Static_filters/Coplanar_side_of_bounded_circle_3.h>
@@ -126,6 +126,8 @@ public:
   typedef Static_filters_predicates::Compare_weighted_squared_radius_3<K_base>     Compare_weighted_squared_radius_3;
   typedef Static_filters_predicates::Power_side_of_oriented_power_sphere_3<K_base>                          Power_side_of_oriented_power_sphere_3;
 
+  typedef Static_filters_predicates::Compare_distance_3<K_base>             Compare_distance_3;
+
   Orientation_2
   orientation_2_object() const
   { return Orientation_2(); }
@@ -195,6 +197,9 @@ public:
   compare_weighted_squared_radius_3_object() const
   { return Compare_weighted_squared_radius_3(); }
 
+  Compare_distance_3
+  compare_distance_3_object() const
+  { return Compare_distance_3();}
 
   enum { Has_static_filters = true };
 

From 01d83513830e4a8e95e4dcfb6f72607fb6f4af1c Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 26 Jan 2021 14:46:40 +0100
Subject: [PATCH 216/317] Restore Isotropic remeshing of a selection of faces

---
 .../demo/Polyhedron/Plugins/PMP/Isotropic_remeshing_plugin.cpp  | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/PMP/Isotropic_remeshing_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/PMP/Isotropic_remeshing_plugin.cpp
index d1a13d435d6..5bcf30de208 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/PMP/Isotropic_remeshing_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/PMP/Isotropic_remeshing_plugin.cpp
@@ -342,7 +342,7 @@ public Q_SLOTS:
 
     if (poly_item || selection_item)
     {
-      if(selection_item && selection_item->selected_edges.empty())
+      if(selection_item && selection_item->selected_edges.empty() && selection_item->selected_facets.empty())
       {
         QMessageBox::warning(mw, "Empty Edges", "There are no selected edges. Aborting.");
         return;

From cdbc2c6976cf5f1dc9bca0201b461c382cc8ada0 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Tue, 26 Jan 2021 13:56:45 +0000
Subject: [PATCH 217/317] cleanup

---
 .../Static_filters/Compare_distance_3.h       | 20 -------------------
 1 file changed, 20 deletions(-)

diff --git a/Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h b/Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h
index 4f63ac19eb9..11a95b86b76 100644
--- a/Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h
+++ b/Filtered_kernel/include/CGAL/internal/Static_filters/Compare_distance_3.h
@@ -135,26 +135,6 @@ public:
   }
 
 
-  result_type operator()(const Vector_3 &p, const Vector_3& q) const
-  {
-    CGAL_BRANCH_PROFILER(std::string("semi-static attempts/calls to   : ") +
-                         std::string(CGAL_PRETTY_FUNCTION), tmp);
-
-    Get_approx<Vector_3> get_approx; // Identity functor for all points
-                                     // but lazy points
-    double px, py, pz, qx, qy, qz;
-
-    if (fit_in_double(get_approx(p).x(), px) && fit_in_double(get_approx(p).y(), py) &&
-        fit_in_double(get_approx(p).z(), pz) &&
-        fit_in_double(get_approx(q).x(), qx) && fit_in_double(get_approx(q).y(), qy) &&
-        fit_in_double(get_approx(q).z(), qz) )
-    {
-      CGAL_BRANCH_PROFILER_BRANCH(tmp);
-      return px == qx && py == qy && pz == qz;
-    }
-    return Base::operator()(p, q);
-  }
-
 }; // end class Compare_distance_3
 
 } // end namespace Static_filters_predicates

From 026abdb175efd23d23bd15e5c46833d4c3922a69 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 27 Jan 2021 10:17:42 +0100
Subject: [PATCH 218/317] handle isolated vertices in the target mesh

---
 .../CGAL/boost/graph/copy_face_graph.h        |  2 +
 BGL/test/BGL/test_Euler_operations.cpp        | 52 +++++++++++++++++++
 2 files changed, 54 insertions(+)

diff --git a/BGL/include/CGAL/boost/graph/copy_face_graph.h b/BGL/include/CGAL/boost/graph/copy_face_graph.h
index c396484f4ed..19755ac8e46 100644
--- a/BGL/include/CGAL/boost/graph/copy_face_graph.h
+++ b/BGL/include/CGAL/boost/graph/copy_face_graph.h
@@ -167,6 +167,8 @@ void copy_face_graph_impl(const SourceMesh& sm, TargetMesh& tm,
   for(tm_vertex_descriptor v : vertices(tm))
   {
     tm_halfedge_descriptor h = halfedge(v, tm);
+    if (h==boost::graph_traits<TargetMesh>::null_halfedge())
+      continue;
     tm_halfedge_descriptor next_around_vertex=h;
     do{
       next_around_vertex=opposite(next(next_around_vertex, tm), tm);
diff --git a/BGL/test/BGL/test_Euler_operations.cpp b/BGL/test/BGL/test_Euler_operations.cpp
index 0711cf379ed..6e9418c8ca8 100644
--- a/BGL/test/BGL/test_Euler_operations.cpp
+++ b/BGL/test/BGL/test_Euler_operations.cpp
@@ -35,6 +35,57 @@ test_copy_face_graph_nm_umbrella()
   }
 }
 
+template <typename T>
+void
+test_copy_face_graph_isolated_vertices()
+{
+  typedef Kernel::Point_3 Point_3;
+
+  {
+    T s, t;
+    add_vertex(s);
+    CGAL::copy_face_graph(s, t);
+  }
+
+  {
+    T s, t;
+    add_vertex(t);
+    CGAL::copy_face_graph(s, t);
+  }
+
+  {
+    T s, t;
+    CGAL::make_triangle(Point_3(), Point_3(), Point_3(), s);
+    add_vertex(s);
+    t=s;
+    CGAL::copy_face_graph(s, t);
+  }
+
+  {
+    T s, t;
+    CGAL::make_triangle(Point_3(), Point_3(), Point_3(), s);
+    add_vertex(s);
+    add_vertex(t);
+    CGAL::copy_face_graph(s, t);
+  }
+
+  {
+    T s, t;
+    CGAL::make_tetrahedron(Point_3(), Point_3(), Point_3(), Point_3(), s);
+    add_vertex(s);
+    t=s;
+    CGAL::copy_face_graph(s, t);
+  }
+
+  {
+    T s, t;
+    CGAL::make_tetrahedron(Point_3(), Point_3(), Point_3(), Point_3(), s);
+    add_vertex(s);
+    add_vertex(t);
+    CGAL::copy_face_graph(s, t);
+  }
+}
+
 template <typename T>
 void
 join_face_test()
@@ -619,6 +670,7 @@ void
 test_Euler_operations()
 {
   test_copy_face_graph_nm_umbrella<Graph>();
+  test_copy_face_graph_isolated_vertices<Graph>();
   join_face_test<Graph>();
   add_vertex_and_face_to_border_test<Graph>();
   add_face_to_border_test<Graph>();

From 23cc6b0f4a2ac6061b01d86411d58b6da7ff5a34 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 27 Jan 2021 10:04:45 +0100
Subject: [PATCH 219/317] Fix read_sface

---
 .../Convex_decomposition_3/check_decomposition.cpp     |  2 ++
 Nef_3/include/CGAL/Nef_3/SNC_io_parser.h               | 10 +++++-----
 2 files changed, 7 insertions(+), 5 deletions(-)

diff --git a/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp b/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp
index dd97caf9e5a..afb45e7f07d 100644
--- a/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp
+++ b/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp
@@ -48,5 +48,7 @@ int main()
 {
   Nef_polyhedron_3 N;
   std::cin >> N;
+  if(!is)
+    return EXIT_FAILURE;
   check_decomposition(N);
 }
diff --git a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
index 1dde7f8d0b3..a31a07c5d99 100644
--- a/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
+++ b/Nef_3/include/CGAL/Nef_3/SNC_io_parser.h
@@ -1803,7 +1803,7 @@ read_facet(Halffacet_handle fh) {
   }
 
   in >> index;
-  if(index < 0  || index >= int(vn))
+  if(index < 0  || index >= int(cn))
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -2083,7 +2083,7 @@ read_sface(SFace_handle sfh) {
   OK = OK && test_string("{");
 
   in >> index;
-  if(index < 0 || index >= (int)(sln))
+  if(index < 0 || index >= (int)(vn))
   {
     in.setstate(std::ios_base::badbit);
     return false;
@@ -2097,7 +2097,7 @@ read_sface(SFace_handle sfh) {
     in >> index;
     //    sfh->boundary_entry_objects().push_back(SEdge_of[index]);
     SM_decorator SD(&*sfh->center_vertex());
-    if(index < 0 || index >= (int)(sln))
+    if(index < 0 || index >= (int)(sen))
     {
       in.setstate(std::ios_base::badbit);
       return false;
@@ -2110,7 +2110,7 @@ read_sface(SFace_handle sfh) {
   while(isdigit(cc)) {
     in.putback(cc);
     in >> index;
-    if(index < 0 || index >= (int)(sln))
+    if(index < 0 || index >= (int)(en))
     {
       in.setstate(std::ios_base::badbit);
       return false;
@@ -2135,7 +2135,7 @@ read_sface(SFace_handle sfh) {
   }
 
   in >> index;
-  if(index < 0 || index >= (int)(sln))
+  if(index < 0 || index >= (int)(cn))
   {
     in.setstate(std::ios_base::badbit);
     return false;

From b71b8f203467cda00c871951116bece2a1b2ed43 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 27 Jan 2021 11:33:49 +0100
Subject: [PATCH 220/317] Don't add isolated vertices after hole filling
 polyline

---
 .../demo/Polyhedron/Plugins/IO/Polylines_io_plugin.cpp   | 2 +-
 .../demo/Polyhedron/Plugins/PMP/Hole_filling_plugin.cpp  | 4 +++-
 Polyhedron/demo/Polyhedron/Scene_surface_mesh_item.cpp   | 9 +++++++++
 3 files changed, 13 insertions(+), 2 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/IO/Polylines_io_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/IO/Polylines_io_plugin.cpp
index a6ed020b18e..ff4fdaed929 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/IO/Polylines_io_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/IO/Polylines_io_plugin.cpp
@@ -169,7 +169,7 @@ load(QFileInfo fileinfo, bool& ok, bool add_to_scene){
     std::string line_remainder;
     std::getline(ifs, line_remainder);
     QString metadata(line_remainder.c_str());
-    if(metadata[0].isSpace()) {
+    if(!metadata.isEmpty() && metadata[0].isSpace()) {
       metadata.remove(0, 1);
     }
     polylines_metadata << metadata;
diff --git a/Polyhedron/demo/Polyhedron/Plugins/PMP/Hole_filling_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/PMP/Hole_filling_plugin.cpp
index f4957d69d63..fbfdc6e1239 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/PMP/Hole_filling_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/PMP/Hole_filling_plugin.cpp
@@ -961,7 +961,9 @@ void Polyhedron_demo_hole_filling_plugin::hole_filling_polyline_action() {
       }
     }
     SMesh* poly = new SMesh;
-    CGAL::Polygon_mesh_processing::polygon_soup_to_polygon_mesh(*it,
+    std::vector<Point_3> ps(it->begin(), it->end());
+    ps.pop_back();
+    CGAL::Polygon_mesh_processing::polygon_soup_to_polygon_mesh(ps,
                                                                 patch,
                                                                 *poly);
 
diff --git a/Polyhedron/demo/Polyhedron/Scene_surface_mesh_item.cpp b/Polyhedron/demo/Polyhedron/Scene_surface_mesh_item.cpp
index 857e5ca0835..cd5e589d2d4 100644
--- a/Polyhedron/demo/Polyhedron/Scene_surface_mesh_item.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene_surface_mesh_item.cpp
@@ -334,6 +334,15 @@ void Scene_surface_mesh_item::standard_constructor(SMesh* sm)
   d->textFItems = new TextListItem(this);
   are_buffers_filled = false;
   invalidate(ALL);
+  std::size_t isolated_v = 0;
+  for(vertex_descriptor v : vertices(*sm))
+  {
+    if(sm->is_isolated(v))
+    {
+      ++isolated_v;
+    }
+  }
+  setNbIsolatedvertices(isolated_v);
 
 }
 Scene_surface_mesh_item::Scene_surface_mesh_item(SMesh* sm)

From 766a65e1c0b50bca5783298d7f76a669c81684e5 Mon Sep 17 00:00:00 2001
From: Marc Glisse <marc.glisse@inria.fr>
Date: Wed, 27 Jan 2021 12:33:45 +0100
Subject: [PATCH 221/317] Fix NewKernel_d/Eigen compatibility

some bitrot...
---
 .../include/CGAL/NewKernel_d/LA_eigen/constructors.h   |  8 +++-----
 Number_types/include/CGAL/Interval_nt.h                | 10 ++++++++++
 2 files changed, 13 insertions(+), 5 deletions(-)

diff --git a/NewKernel_d/include/CGAL/NewKernel_d/LA_eigen/constructors.h b/NewKernel_d/include/CGAL/NewKernel_d/LA_eigen/constructors.h
index 9fb8ef02107..1bb4b2a33ef 100644
--- a/NewKernel_d/include/CGAL/NewKernel_d/LA_eigen/constructors.h
+++ b/NewKernel_d/include/CGAL/NewKernel_d/LA_eigen/constructors.h
@@ -91,11 +91,9 @@ namespace CGAL {
     };
 
     struct Initializer_list {
-      // Fix T==NT?
-      template<class T>
-        result_type operator()(std::initializer_list<T> l) const {
-          return Iterator()(l.size(),l.begin(),l.end());
-        }
+      result_type operator()(std::initializer_list<NT> l) const {
+        return Iterator()(l.size(),l.begin(),l.end());
+      }
     };
 
     struct Values {
diff --git a/Number_types/include/CGAL/Interval_nt.h b/Number_types/include/CGAL/Interval_nt.h
index ec9f7288966..8a51e7cd860 100644
--- a/Number_types/include/CGAL/Interval_nt.h
+++ b/Number_types/include/CGAL/Interval_nt.h
@@ -1594,6 +1594,16 @@ namespace Eigen {
     };
   };
 
+  template<class A, class B, class C>struct ScalarBinaryOpTraits;
+  template<bool b, typename BinaryOp>
+    struct ScalarBinaryOpTraits<CGAL::Interval_nt<b>, double, BinaryOp> {
+      typedef CGAL::Interval_nt<b> ReturnType;
+    };
+  template<bool b, typename BinaryOp>
+    struct ScalarBinaryOpTraits<double, CGAL::Interval_nt<b>, BinaryOp> {
+      typedef CGAL::Interval_nt<b> ReturnType;
+    };
+
   namespace internal {
     template<class> struct significant_decimals_impl;
     template<bool b>

From d53d306c435f07a6201b14f3e5074910ccb68497 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 27 Jan 2021 13:19:13 +0100
Subject: [PATCH 222/317] Add an inflate_mesh  action to the
 Offset_meshing_plugin

---
 .../Surface_mesh/Offset_meshing_plugin.cpp    | 61 +++++++++++++++++--
 1 file changed, 57 insertions(+), 4 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
index ddcea01a397..aa4fdaea8c4 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
@@ -390,27 +390,80 @@ public:
       connect(actionOffsetMeshing, SIGNAL(triggered()),
               this, SLOT(offset_meshing()));
     }
+
+    actionInflateMesh= new QAction(tr("Inflate Mesh"), mw);
+    actionInflateMesh->setProperty("subMenuName", "Operations on Polyhedra");
+    if(actionInflateMesh) {
+      connect(actionInflateMesh, SIGNAL(triggered()),
+              this, SLOT(inflate_mesh()));
+    }
   }
 
-  bool applicable(QAction*) const {
+  bool applicable(QAction* a) const {
     Scene_item* item = scene->item(scene->mainSelectionIndex());
+
     return
-      qobject_cast<Scene_surface_mesh_item*>(item) ||
-      qobject_cast<Scene_polygon_soup_item*>(item);
+        qobject_cast<Scene_surface_mesh_item*>(item) ||
+        (a == actionOffsetMeshing && qobject_cast<Scene_polygon_soup_item*>(item));
   }
 
   QList<QAction*> actions() const {
-    return QList<QAction*>() << actionOffsetMeshing;
+    return QList<QAction*>() << actionOffsetMeshing
+                             << actionInflateMesh;
   }
 public Q_SLOTS:
   void offset_meshing();
+  void inflate_mesh();
 
 private:
   QAction* actionOffsetMeshing;
+  QAction* actionInflateMesh;
   Scene_interface *scene;
   QMainWindow *mw;
 }; // end class Polyhedron_demo_offset_meshing_plugin
 
+void Polyhedron_demo_offset_meshing_plugin::inflate_mesh()
+{
+  const CGAL::Three::Scene_interface::Item_id index = scene->mainSelectionIndex();
+  Scene_item* item = scene->item(index);
+  Scene_surface_mesh_item* sm_item =
+      qobject_cast<Scene_surface_mesh_item*>(item);
+
+  SMesh* sMesh = sm_item->face_graph();
+  if(!sMesh)
+    return;
+  Scene_item::Bbox box = bbox(sMesh);
+
+  double X=(box.max)(0)-(box.min)(0),
+      Y = (box.max)(1)-(box.min)(1),
+      Z = (box.max)(2)-(box.min)(2);
+  double diag = 0;
+  diag = CGAL::sqrt(X*X+Y*Y+Z*Z);
+  double offset_value = QInputDialog::getDouble(mw,
+                                                QString("Choose Inflate Value"),
+                                                QString("Offset Value (use negative number for deflate)"),
+                                                0.1*diag,
+                                                -(std::numeric_limits<double>::max)(),
+                                                (std::numeric_limits<double>::max)(), 10);
+  SMesh* smesh = sm_item->face_graph();
+  for(const auto& v : vertices(*smesh))
+  {
+    auto vpm = get(CGAL::vertex_point,*smesh);
+    SMesh::Property_map<vertex_descriptor, EPICK::Vector_3 > vnm =
+        smesh->property_map<vertex_descriptor, EPICK::Vector_3 >("v:normal").first;
+
+    Point_3 p = get(vpm, v);
+    EPICK::Vector_3 n = get(vnm, v);
+    n/=(CGAL::sqrt(n.squared_length()));
+    put(vpm, v, Point_3(
+          p.x()+offset_value*n.x(),
+          p.y()+offset_value*n.y(),
+          p.z()+offset_value*n.z())
+        );
+  }
+  sm_item->invalidateOpenGLBuffers();
+}
+
 void Polyhedron_demo_offset_meshing_plugin::offset_meshing()
 {
   const CGAL::Three::Scene_interface::Item_id index = scene->mainSelectionIndex();

From 59cb6fd3e8e493b6eb05498d1701dc65aa9e924d Mon Sep 17 00:00:00 2001
From: Maxime GIMENO <maxime.gimeno@gmail.com>
Date: Wed, 27 Jan 2021 13:47:48 +0100
Subject: [PATCH 223/317] Update
 Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../Plugins/Surface_mesh/Offset_meshing_plugin.cpp          | 6 +-----
 1 file changed, 1 insertion(+), 5 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
index aa4fdaea8c4..51dc5967775 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
@@ -455,11 +455,7 @@ void Polyhedron_demo_offset_meshing_plugin::inflate_mesh()
     Point_3 p = get(vpm, v);
     EPICK::Vector_3 n = get(vnm, v);
     n/=(CGAL::sqrt(n.squared_length()));
-    put(vpm, v, Point_3(
-          p.x()+offset_value*n.x(),
-          p.y()+offset_value*n.y(),
-          p.z()+offset_value*n.z())
-        );
+    put(vpm, v, p + offset_value*n);
   }
   sm_item->invalidateOpenGLBuffers();
 }

From 9b57095f7199d7ad315d7b41802fb877c5b0693d Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 27 Jan 2021 14:02:33 +0100
Subject: [PATCH 224/317] Clean-up

---
 .../Plugins/Surface_mesh/Offset_meshing_plugin.cpp     | 10 ++++------
 1 file changed, 4 insertions(+), 6 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
index 51dc5967775..8400574be2c 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
@@ -437,8 +437,7 @@ void Polyhedron_demo_offset_meshing_plugin::inflate_mesh()
   double X=(box.max)(0)-(box.min)(0),
       Y = (box.max)(1)-(box.min)(1),
       Z = (box.max)(2)-(box.min)(2);
-  double diag = 0;
-  diag = CGAL::sqrt(X*X+Y*Y+Z*Z);
+  double diag = sm_item->diagonalBbox();
   double offset_value = QInputDialog::getDouble(mw,
                                                 QString("Choose Inflate Value"),
                                                 QString("Offset Value (use negative number for deflate)"),
@@ -446,12 +445,11 @@ void Polyhedron_demo_offset_meshing_plugin::inflate_mesh()
                                                 -(std::numeric_limits<double>::max)(),
                                                 (std::numeric_limits<double>::max)(), 10);
   SMesh* smesh = sm_item->face_graph();
+  auto vpm = get(CGAL::vertex_point,*smesh);
+  auto vnm =
+      smesh->property_map<vertex_descriptor, EPICK::Vector_3 >("v:normal").first;
   for(const auto& v : vertices(*smesh))
   {
-    auto vpm = get(CGAL::vertex_point,*smesh);
-    SMesh::Property_map<vertex_descriptor, EPICK::Vector_3 > vnm =
-        smesh->property_map<vertex_descriptor, EPICK::Vector_3 >("v:normal").first;
-
     Point_3 p = get(vpm, v);
     EPICK::Vector_3 n = get(vnm, v);
     n/=(CGAL::sqrt(n.squared_length()));

From 41c823c08344c764c723976985e4ed97488477eb Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 27 Jan 2021 15:36:23 +0100
Subject: [PATCH 225/317] replace default value of stream precision

---
 BGL/include/CGAL/boost/graph/IO/GOCAD.h         | 17 +++++++++++++----
 .../boost/graph/IO/Generic_facegraph_printer.h  |  9 +++++++--
 BGL/include/CGAL/boost/graph/IO/OBJ.h           | 10 +++++++++-
 BGL/include/CGAL/boost/graph/IO/OFF.h           |  5 ++++-
 BGL/include/CGAL/boost/graph/IO/PLY.h           | 13 ++++++++++---
 BGL/include/CGAL/boost/graph/IO/STL.h           | 13 ++++++++++---
 BGL/include/CGAL/boost/graph/IO/VTK.h           | 16 ++++++++++++----
 BGL/include/CGAL/boost/graph/IO/WRL.h           |  5 ++++-
 Point_set_3/include/CGAL/Point_set_3/IO/OFF.h   |  2 +-
 Point_set_3/include/CGAL/Point_set_3/IO/PLY.h   | 13 ++++++++++---
 Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h   |  5 ++++-
 .../include/CGAL/IO/write_off_points.h          | 12 +++++++++---
 .../include/CGAL/IO/write_ply_points.h          | 13 ++++++++++---
 .../include/CGAL/IO/write_xyz_points.h          | 14 +++++++++++---
 Stream_support/include/CGAL/IO/GOCAD.h          | 13 ++++++++++---
 Stream_support/include/CGAL/IO/Generic_writer.h |  8 ++++++--
 Stream_support/include/CGAL/IO/OBJ.h            |  6 +++++-
 Stream_support/include/CGAL/IO/OFF.h            |  6 +++++-
 Stream_support/include/CGAL/IO/PLY.h            | 13 ++++++++++---
 Stream_support/include/CGAL/IO/STL.h            | 13 ++++++++++---
 Stream_support/include/CGAL/IO/VTK.h            | 13 ++++++++++---
 Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h |  2 +-
 Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h | 10 +++++++---
 23 files changed, 178 insertions(+), 53 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/IO/GOCAD.h b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
index 25cdf0ce780..9b58a78b75e 100644
--- a/BGL/include/CGAL/boost/graph/IO/GOCAD.h
+++ b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
@@ -271,7 +271,7 @@ bool read_GOCAD(const std::string& fname, Graph& g,
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`6`}
+///     \cgalParamDefault{`the precision of the given stream`}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
 ///
@@ -303,8 +303,12 @@ bool write_GOCAD(std::ostream& os,
   if(!os.good())
     return false;
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   os << "GOCAD TSurf 1\n"
         "HEADER {\n"
@@ -380,7 +384,7 @@ bool write_GOCAD(std::ostream& os, const char* name, const Graph& g,
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`6`}
+///     \cgalParamDefault{`the precision of the given stream`}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
 ///
@@ -454,6 +458,11 @@ bool write_GOCAD(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
+
+
   return write_GOCAD(os, fname.c_str(), g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h b/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
index 4ab13c13192..08b6c69c84b 100644
--- a/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
+++ b/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
@@ -117,8 +117,13 @@ public:
     if(!m_os.good())
       return false;
 
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    m_os.precision(precision);
+    if(!CGAL::parameters::is_default_parameter(
+         get_parameter(np, internal_np::stream_precision)))
+    {
+      const int precision = choose_parameter(
+            get_parameter(np, internal_np::stream_precision), 6);
+      m_os.precision(precision);
+    }
 
     VPM vpm = choose_parameter(get_parameter(np, internal_np::vertex_point),
                                get_const_property_map(CGAL::vertex_point, g));
diff --git a/BGL/include/CGAL/boost/graph/IO/OBJ.h b/BGL/include/CGAL/boost/graph/IO/OBJ.h
index 8e1c9b5ea89..cc44fb1ef32 100644
--- a/BGL/include/CGAL/boost/graph/IO/OBJ.h
+++ b/BGL/include/CGAL/boost/graph/IO/OBJ.h
@@ -231,7 +231,7 @@ bool read_OBJ(const std::string& fname, Graph& g,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`6`}
+      \cgalParamDefault{`the precision of the given stream`}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
@@ -285,6 +285,11 @@ bool write_OBJ(std::ostream& os, const Graph& g,
       \cgalParamExtra{If this parameter is omitted, an internal property map for `CGAL::vertex_point_t`
                       must be available in `Graph`.}
     \cgalParamNEnd
+    \cgalParamNBegin{stream_precision}
+      \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
+      \cgalParamType{int}
+      \cgalParamDefault{`6`}
+    \cgalParamNEnd
   \cgalNamedParamsEnd
 
   \returns `true` if writing was successful, `false` otherwise.
@@ -303,6 +308,9 @@ bool write_OBJ(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
   return write_OBJ(os, g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/OFF.h b/BGL/include/CGAL/boost/graph/IO/OFF.h
index a3bee6c7d13..3219385eced 100644
--- a/BGL/include/CGAL/boost/graph/IO/OFF.h
+++ b/BGL/include/CGAL/boost/graph/IO/OFF.h
@@ -387,7 +387,7 @@ bool write_OFF_BGL(std::ostream& os,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`6`}
+      \cgalParamDefault{`the precision of the given stream`}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
@@ -496,6 +496,9 @@ bool write_OFF(const std::string& fname,
     std::cerr<<"Could not create file.";
     return false;
   }
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
   return write_OFF(os, g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/PLY.h b/BGL/include/CGAL/boost/graph/IO/PLY.h
index ff65a977f7b..1eb6e6781b8 100644
--- a/BGL/include/CGAL/boost/graph/IO/PLY.h
+++ b/BGL/include/CGAL/boost/graph/IO/PLY.h
@@ -311,7 +311,7 @@ bool read_PLY(const std::string& fname, Graph& g,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`6`}
+      \cgalParamDefault{`the precision of the given stream`}
       \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
     \cgalParamNEnd
  \cgalNamedParamsEnd
@@ -361,8 +361,12 @@ bool write_PLY(std::ostream& os,
   if(!os.good())
     return false;
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   // Write header
   os << "ply" << std::endl
@@ -550,6 +554,9 @@ bool write_PLY(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     return write_PLY(os, g, comments, np);
   }
 }
diff --git a/BGL/include/CGAL/boost/graph/IO/STL.h b/BGL/include/CGAL/boost/graph/IO/STL.h
index de10a9a95a5..96e786c82ff 100644
--- a/BGL/include/CGAL/boost/graph/IO/STL.h
+++ b/BGL/include/CGAL/boost/graph/IO/STL.h
@@ -231,7 +231,7 @@ bool read_STL(const std::string& fname, Graph& g) { return read_STL(fname, g, pa
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
        \cgalParamType{int}
-       \cgalParamDefault{`6`}
+       \cgalParamDefault{`the precision of the given stream`}
        \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
     \cgalParamNEnd
   \cgalNamedParamsEnd
@@ -262,8 +262,12 @@ bool write_STL(std::ostream& os,
   if(!os.good())
     return false;
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   if(get_mode(os) == IO::BINARY)
   {
@@ -372,6 +376,9 @@ bool write_STL(const std::string& fname, const Graph& g, const CGAL_BGL_NP_CLASS
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     return write_STL(os, g, np);
   }
 }
diff --git a/BGL/include/CGAL/boost/graph/IO/VTK.h b/BGL/include/CGAL/boost/graph/IO/VTK.h
index 4715e954ea3..496a82a1737 100644
--- a/BGL/include/CGAL/boost/graph/IO/VTK.h
+++ b/BGL/include/CGAL/boost/graph/IO/VTK.h
@@ -420,7 +420,7 @@ void write_polys_points(std::ostream& os,
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`6`}
+ *     \cgalParamDefault{`the precision of the given stream`}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -439,8 +439,12 @@ bool write_VTP(std::ostream& os,
   if(!os.good())
     return false;
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   os << "<?xml version=\"1.0\"?>\n"
      << "<VTKFile type=\"PolyData\" version=\"0.1\"";
@@ -537,8 +541,12 @@ bool write_VTP(const std::string& fname, const Graph& g, const CGAL_BGL_NP_CLASS
     os.open(fname, std::ios::binary);
     CGAL::set_mode(os, CGAL::IO::BINARY);
   }
-  else
+  else{
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     os.open(fname);
+  }
   return write_VTP(os, g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/WRL.h b/BGL/include/CGAL/boost/graph/IO/WRL.h
index 40b5af310c9..595e45bb3bf 100644
--- a/BGL/include/CGAL/boost/graph/IO/WRL.h
+++ b/BGL/include/CGAL/boost/graph/IO/WRL.h
@@ -59,7 +59,7 @@ namespace CGAL {
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`6`}
+      \cgalParamDefault{`the precision of the given stream`}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
@@ -110,6 +110,9 @@ template <typename Graph, typename CGAL_BGL_NP_TEMPLATE_PARAMETERS>
 bool write_WRL(const std::string& fname, const Graph& g, const CGAL_BGL_NP_CLASS& np)
 {
   std::ofstream os(fname);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
   return write_WRL(os, g, np);
 }
 
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h b/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h
index 5425fbfa4b9..fbeda69c4fc 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h
@@ -134,7 +134,7 @@ CGAL_DEPRECATED bool read_off_point_set(std::istream& is,  ///< input stream.
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`6`}
+      \cgalParamDefault{`the precision of the given stream`}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
index 1e60eac251f..50dd0f026c4 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
@@ -456,7 +456,7 @@ CGAL_DEPRECATED bool read_ply_point_set(std::istream& is, ///< input stream.
    \cgalParamNBegin{stream_precision}
      \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
      \cgalParamType{int}
-     \cgalParamDefault{`6`}
+     \cgalParamDefault{`the precision of the given stream`}
      \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
    \cgalParamNEnd
   \cgalNamedParamsEnd
@@ -493,8 +493,12 @@ bool write_PLY(std::ostream& os,
     return false;
   }
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   os << "ply" << std::endl
      << ((get_mode(os) == IO::BINARY) ? "format binary_little_endian 1.0" : "format ascii 1.0") << std::endl
@@ -756,6 +760,9 @@ bool write_PLY(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     return write_PLY(os, point_set, comments, np);
   }
 }
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h b/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
index 4f5ba04a550..24648b4cf98 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
@@ -132,7 +132,7 @@ CGAL_DEPRECATED bool read_xyz_point_set(std::istream& is, CGAL::Point_set_3<Poin
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`6`}
+      \cgalParamDefault{`the precision of the given stream`}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
@@ -190,6 +190,9 @@ template <typename Point, typename Vector, typename CGAL_BGL_NP_TEMPLATE_PARAMET
 bool write_XYZ(const std::string& fname, const CGAL::Point_set_3<Point, Vector>& point_set, const CGAL_BGL_NP_CLASS& np)
 {
   std::ofstream os(fname);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
   return write_XYZ(os, point_set, np);
 }
 
diff --git a/Point_set_processing_3/include/CGAL/IO/write_off_points.h b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
index c35a500f705..e843e770de0 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_off_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
@@ -66,8 +66,12 @@ bool write_OFF_PSP(std::ostream& os,
     return false;
   }
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   // Write header
   os << "NOFF" << std::endl;
@@ -125,7 +129,7 @@ bool write_OFF_PSP(std::ostream& os,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`6`}
+      \cgalParamDefault{`the precision of the given stream`}
     \cgalParamNEnd
    \cgalNamedParamsEnd
 
@@ -208,6 +212,8 @@ bool write_OFF(const std::string& filename,
                )
 {
   std::ofstream os(filename);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
   return write_OFF(os, points, np);
 }
 
diff --git a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
index f4264d4e322..b28cc04f1a3 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
@@ -175,7 +175,7 @@ template <typename PointRange,
      \cgalParamNBegin{stream_precision}
        \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
        \cgalParamType{int}
-       \cgalParamDefault{`6`}
+       \cgalParamDefault{`the precision of the given stream`}
        \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
      \cgalParamNEnd
    \cgalNamedParamsEnd
@@ -212,8 +212,12 @@ bool write_PLY(std::ostream& os,
     return false;
   }
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   if (has_normals)
     return write_PLY_with_properties(os, points,
@@ -304,6 +308,9 @@ bool write_PLY(const std::string& filename,
   {
     std::ofstream os(filename);
     CGAL::set_mode(os, CGAL::IO::ASCII);
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     return write_PLY(os, points, np);
   }
 }
diff --git a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
index 5fc1d8014e8..9634455b192 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
@@ -67,8 +67,12 @@ bool write_XYZ_PSP(std::ostream& os,
     return false;
   }
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   // Write positions + normals
   for(typename PointRange::const_iterator it = points.begin(); it != points.end(); it++)
@@ -122,7 +126,7 @@ bool write_XYZ_PSP(std::ostream& os,
      \cgalParamNBegin{stream_precision}
        \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
        \cgalParamType{int}
-       \cgalParamDefault{`6`}
+       \cgalParamDefault{`the precision of the given stream`}
      \cgalParamNEnd
    \cgalNamedParamsEnd
 
@@ -202,6 +206,10 @@ bool write_XYZ(const std::string& filename,
                )
 {
   std::ofstream os(filename);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
+
   return write_XYZ(os, points, np);
 }
 
diff --git a/Stream_support/include/CGAL/IO/GOCAD.h b/Stream_support/include/CGAL/IO/GOCAD.h
index d28f5fe5d9f..6070f471081 100644
--- a/Stream_support/include/CGAL/IO/GOCAD.h
+++ b/Stream_support/include/CGAL/IO/GOCAD.h
@@ -299,8 +299,12 @@ bool write_GOCAD(std::ostream& os,
 
   set_ascii_mode(os); // GOCAD is ASCII only
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   os << "GOCAD TSurf 1\n"
         "HEADER {\n"
@@ -357,7 +361,7 @@ bool write_GOCAD(std::ostream& os,
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`6`}
+ *     \cgalParamDefault{`the precision of the given stream`}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -430,6 +434,9 @@ bool write_GOCAD(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
   return IO::internal::write_GOCAD(os, fname.c_str(), points, polygons, np);
 }
 
diff --git a/Stream_support/include/CGAL/IO/Generic_writer.h b/Stream_support/include/CGAL/IO/Generic_writer.h
index abf9077c49f..6b31a609014 100644
--- a/Stream_support/include/CGAL/IO/Generic_writer.h
+++ b/Stream_support/include/CGAL/IO/Generic_writer.h
@@ -49,8 +49,12 @@ public:
     if(!m_os.good())
       return false;
 
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    m_os.precision(precision);
+    if(!parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+    {
+      const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+      m_os.precision(precision);
+    }
 
     m_writer.write_header(m_os, points.size(), 0, polygons.size());
     for(std::size_t i=0, end=points.size(); i<end; ++i)
diff --git a/Stream_support/include/CGAL/IO/OBJ.h b/Stream_support/include/CGAL/IO/OBJ.h
index 7bb5b30046e..794e6b8e077 100644
--- a/Stream_support/include/CGAL/IO/OBJ.h
+++ b/Stream_support/include/CGAL/IO/OBJ.h
@@ -318,7 +318,7 @@ bool read_OBJ(const std::string& fname, PointRange& points, PolygonRange& polygo
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`6`}
+ *     \cgalParamDefault{`the precision of the given stream`}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -393,6 +393,10 @@ bool write_OBJ(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
+
   return write_OBJ(os, points, polygons, np);
 }
 
diff --git a/Stream_support/include/CGAL/IO/OFF.h b/Stream_support/include/CGAL/IO/OFF.h
index 4970638f502..fad93a7f7ba 100644
--- a/Stream_support/include/CGAL/IO/OFF.h
+++ b/Stream_support/include/CGAL/IO/OFF.h
@@ -298,7 +298,7 @@ bool read_OFF(const std::string& fname, PointRange& points, PolygonRange& polygo
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`6`}
+ *     \cgalParamDefault{`the precision of the given stream`}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -367,6 +367,10 @@ bool write_OFF(const std::string& fname,
                )
 {
   std::ofstream os(fname);
+  if(parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+    os.precision(6);
+
   Generic_writer<std::ostream, File_writer_OFF> writer(os);
   return writer(points, polygons, np);
 }
diff --git a/Stream_support/include/CGAL/IO/PLY.h b/Stream_support/include/CGAL/IO/PLY.h
index dc6518096ca..1c444a60ca5 100644
--- a/Stream_support/include/CGAL/IO/PLY.h
+++ b/Stream_support/include/CGAL/IO/PLY.h
@@ -444,7 +444,7 @@ bool read_PLY(const std::string& fname, PointRange& points, PolygonRange& polygo
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`6`}
+ *     \cgalParamDefault{`the precision of the given stream`}
  *     \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
@@ -467,8 +467,12 @@ bool write_PLY(std::ostream& out,
   if(!out.good())
     return false;
 
-  const int precision = parameters::choose_parameter(parameters::get_parameter(np, internal_np::stream_precision), 6);
-  out.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    out.precision(precision);
+  }
 
   // Write header
   out << "ply" << std::endl
@@ -563,6 +567,9 @@ bool write_PLY(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     return write_PLY(os, points, polygons, np);
   }
 }
diff --git a/Stream_support/include/CGAL/IO/STL.h b/Stream_support/include/CGAL/IO/STL.h
index 6865fd03464..738d87a2eb0 100644
--- a/Stream_support/include/CGAL/IO/STL.h
+++ b/Stream_support/include/CGAL/IO/STL.h
@@ -284,7 +284,7 @@ bool read_STL(const std::string& fname, PointRange& points, TriangleRange& facet
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`6`}
+ *     \cgalParamDefault{`the precision of the given stream`}
  *     \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
@@ -317,8 +317,12 @@ bool write_STL(std::ostream& os,
   if(!os.good())
     return false;
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   if(get_mode(os) == IO::BINARY)
   {
@@ -433,6 +437,9 @@ bool write_STL(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     return write_STL(os, points, facets, np);
   }
 }
diff --git a/Stream_support/include/CGAL/IO/VTK.h b/Stream_support/include/CGAL/IO/VTK.h
index 0723baceadd..f5041748cab 100644
--- a/Stream_support/include/CGAL/IO/VTK.h
+++ b/Stream_support/include/CGAL/IO/VTK.h
@@ -373,7 +373,7 @@ void write_soup_polys_points(std::ostream& os,
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`6`}
+ *     \cgalParamDefault{`the precision of the given stream`}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -393,8 +393,12 @@ bool write_VTP(std::ostream& os,
   if(!os.good())
     return false;
 
-  const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   os << "<?xml version=\"1.0\"?>\n"
      << "<VTKFile type=\"PolyData\" version=\"0.1\"";
@@ -495,6 +499,9 @@ bool write_VTP(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
+    if(parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+      os.precision(6);
     return write_VTP(os, points, polygons, np);
   }
 }
diff --git a/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h b/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h
index f4eb8ac375a..ca61a258f17 100644
--- a/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h
+++ b/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h
@@ -556,7 +556,7 @@ bool write_OFF_with_or_without_vnormals(std::ostream& os,
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`6`}
+///     \cgalParamDefault{`the precision of the given stream`}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
 ///
diff --git a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
index 2682b5a899a..69b4fe5dd6c 100644
--- a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
+++ b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
@@ -899,7 +899,7 @@ CGAL_DEPRECATED bool read_ply(std::istream& is, Surface_mesh<P>& sm, std::string
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`6`}
+///     \cgalParamDefault{`the precision of the given stream`}
 ///     \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
@@ -921,8 +921,12 @@ bool write_PLY(std::ostream& os,
   if(!os.good())
     return false;
 
-  const int precision = parameters::choose_parameter(parameters::get_parameter(np, internal_np::stream_precision), 6);
-  os.precision(precision);
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = parameters::choose_parameter(parameters::get_parameter(np, internal_np::stream_precision), 6);
+    os.precision(precision);
+  }
 
   os << "ply" << std::endl
      << ((get_mode(os) == IO::BINARY) ? "format binary_little_endian 1.0" : "format ascii 1.0") << std::endl

From 2d59464b2b7e7f8df06256b0fb89cae571012272 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 27 Jan 2021 15:49:42 +0100
Subject: [PATCH 226/317] remove os.precision(6) as it is the default.

---
 BGL/include/CGAL/boost/graph/IO/GOCAD.h                   | 3 ---
 BGL/include/CGAL/boost/graph/IO/OBJ.h                     | 3 ---
 BGL/include/CGAL/boost/graph/IO/OFF.h                     | 4 +---
 BGL/include/CGAL/boost/graph/IO/PLY.h                     | 4 +---
 BGL/include/CGAL/boost/graph/IO/STL.h                     | 4 +---
 BGL/include/CGAL/boost/graph/IO/VTK.h                     | 7 ++-----
 BGL/include/CGAL/boost/graph/IO/WRL.h                     | 3 ---
 Point_set_3/include/CGAL/Point_set_3/IO/PLY.h             | 3 ---
 Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h             | 3 ---
 Point_set_processing_3/include/CGAL/IO/write_ply_points.h | 3 ---
 Point_set_processing_3/include/CGAL/IO/write_xyz_points.h | 3 ---
 Stream_support/include/CGAL/IO/GOCAD.h                    | 3 ---
 Stream_support/include/CGAL/IO/OBJ.h                      | 3 ---
 Stream_support/include/CGAL/IO/OFF.h                      | 3 ---
 Stream_support/include/CGAL/IO/PLY.h                      | 3 ---
 Stream_support/include/CGAL/IO/STL.h                      | 3 ---
 Stream_support/include/CGAL/IO/VTK.h                      | 3 ---
 17 files changed, 5 insertions(+), 53 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/IO/GOCAD.h b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
index 9b58a78b75e..0c0692b5b6f 100644
--- a/BGL/include/CGAL/boost/graph/IO/GOCAD.h
+++ b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
@@ -458,9 +458,6 @@ bool write_GOCAD(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
 
 
   return write_GOCAD(os, fname.c_str(), g, np);
diff --git a/BGL/include/CGAL/boost/graph/IO/OBJ.h b/BGL/include/CGAL/boost/graph/IO/OBJ.h
index cc44fb1ef32..7ab9cbd29d4 100644
--- a/BGL/include/CGAL/boost/graph/IO/OBJ.h
+++ b/BGL/include/CGAL/boost/graph/IO/OBJ.h
@@ -308,9 +308,6 @@ bool write_OBJ(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
   return write_OBJ(os, g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/OFF.h b/BGL/include/CGAL/boost/graph/IO/OFF.h
index 3219385eced..6ea0f68a6b9 100644
--- a/BGL/include/CGAL/boost/graph/IO/OFF.h
+++ b/BGL/include/CGAL/boost/graph/IO/OFF.h
@@ -496,9 +496,7 @@ bool write_OFF(const std::string& fname,
     std::cerr<<"Could not create file.";
     return false;
   }
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
+
   return write_OFF(os, g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/PLY.h b/BGL/include/CGAL/boost/graph/IO/PLY.h
index 1eb6e6781b8..667fed4672a 100644
--- a/BGL/include/CGAL/boost/graph/IO/PLY.h
+++ b/BGL/include/CGAL/boost/graph/IO/PLY.h
@@ -554,9 +554,7 @@ bool write_PLY(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
+
     return write_PLY(os, g, comments, np);
   }
 }
diff --git a/BGL/include/CGAL/boost/graph/IO/STL.h b/BGL/include/CGAL/boost/graph/IO/STL.h
index 96e786c82ff..4ab8df78ab0 100644
--- a/BGL/include/CGAL/boost/graph/IO/STL.h
+++ b/BGL/include/CGAL/boost/graph/IO/STL.h
@@ -376,9 +376,7 @@ bool write_STL(const std::string& fname, const Graph& g, const CGAL_BGL_NP_CLASS
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
+
     return write_STL(os, g, np);
   }
 }
diff --git a/BGL/include/CGAL/boost/graph/IO/VTK.h b/BGL/include/CGAL/boost/graph/IO/VTK.h
index 496a82a1737..ab3ed3c02cb 100644
--- a/BGL/include/CGAL/boost/graph/IO/VTK.h
+++ b/BGL/include/CGAL/boost/graph/IO/VTK.h
@@ -541,12 +541,9 @@ bool write_VTP(const std::string& fname, const Graph& g, const CGAL_BGL_NP_CLASS
     os.open(fname, std::ios::binary);
     CGAL::set_mode(os, CGAL::IO::BINARY);
   }
-  else{
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
+  else
     os.open(fname);
-  }
+
   return write_VTP(os, g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/WRL.h b/BGL/include/CGAL/boost/graph/IO/WRL.h
index 595e45bb3bf..2506f1ab8e8 100644
--- a/BGL/include/CGAL/boost/graph/IO/WRL.h
+++ b/BGL/include/CGAL/boost/graph/IO/WRL.h
@@ -110,9 +110,6 @@ template <typename Graph, typename CGAL_BGL_NP_TEMPLATE_PARAMETERS>
 bool write_WRL(const std::string& fname, const Graph& g, const CGAL_BGL_NP_CLASS& np)
 {
   std::ofstream os(fname);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
   return write_WRL(os, g, np);
 }
 
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
index 50dd0f026c4..0d5e13db927 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
@@ -760,9 +760,6 @@ bool write_PLY(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
     return write_PLY(os, point_set, comments, np);
   }
 }
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h b/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
index 24648b4cf98..fee680c1e50 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
@@ -190,9 +190,6 @@ template <typename Point, typename Vector, typename CGAL_BGL_NP_TEMPLATE_PARAMET
 bool write_XYZ(const std::string& fname, const CGAL::Point_set_3<Point, Vector>& point_set, const CGAL_BGL_NP_CLASS& np)
 {
   std::ofstream os(fname);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
   return write_XYZ(os, point_set, np);
 }
 
diff --git a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
index b28cc04f1a3..e4c573ec0af 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
@@ -308,9 +308,6 @@ bool write_PLY(const std::string& filename,
   {
     std::ofstream os(filename);
     CGAL::set_mode(os, CGAL::IO::ASCII);
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
     return write_PLY(os, points, np);
   }
 }
diff --git a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
index 9634455b192..b726dd5bac1 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
@@ -206,9 +206,6 @@ bool write_XYZ(const std::string& filename,
                )
 {
   std::ofstream os(filename);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
 
   return write_XYZ(os, points, np);
 }
diff --git a/Stream_support/include/CGAL/IO/GOCAD.h b/Stream_support/include/CGAL/IO/GOCAD.h
index 6070f471081..09e90e26949 100644
--- a/Stream_support/include/CGAL/IO/GOCAD.h
+++ b/Stream_support/include/CGAL/IO/GOCAD.h
@@ -434,9 +434,6 @@ bool write_GOCAD(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
   return IO::internal::write_GOCAD(os, fname.c_str(), points, polygons, np);
 }
 
diff --git a/Stream_support/include/CGAL/IO/OBJ.h b/Stream_support/include/CGAL/IO/OBJ.h
index 794e6b8e077..8e472d0657a 100644
--- a/Stream_support/include/CGAL/IO/OBJ.h
+++ b/Stream_support/include/CGAL/IO/OBJ.h
@@ -393,9 +393,6 @@ bool write_OBJ(const std::string& fname,
 {
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
 
   return write_OBJ(os, points, polygons, np);
 }
diff --git a/Stream_support/include/CGAL/IO/OFF.h b/Stream_support/include/CGAL/IO/OFF.h
index fad93a7f7ba..654a933b562 100644
--- a/Stream_support/include/CGAL/IO/OFF.h
+++ b/Stream_support/include/CGAL/IO/OFF.h
@@ -367,9 +367,6 @@ bool write_OFF(const std::string& fname,
                )
 {
   std::ofstream os(fname);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-    os.precision(6);
 
   Generic_writer<std::ostream, File_writer_OFF> writer(os);
   return writer(points, polygons, np);
diff --git a/Stream_support/include/CGAL/IO/PLY.h b/Stream_support/include/CGAL/IO/PLY.h
index 1c444a60ca5..e3fb7d356e8 100644
--- a/Stream_support/include/CGAL/IO/PLY.h
+++ b/Stream_support/include/CGAL/IO/PLY.h
@@ -567,9 +567,6 @@ bool write_PLY(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
     return write_PLY(os, points, polygons, np);
   }
 }
diff --git a/Stream_support/include/CGAL/IO/STL.h b/Stream_support/include/CGAL/IO/STL.h
index 738d87a2eb0..4e5c082b24e 100644
--- a/Stream_support/include/CGAL/IO/STL.h
+++ b/Stream_support/include/CGAL/IO/STL.h
@@ -437,9 +437,6 @@ bool write_STL(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
     return write_STL(os, points, facets, np);
   }
 }
diff --git a/Stream_support/include/CGAL/IO/VTK.h b/Stream_support/include/CGAL/IO/VTK.h
index f5041748cab..304078d2939 100644
--- a/Stream_support/include/CGAL/IO/VTK.h
+++ b/Stream_support/include/CGAL/IO/VTK.h
@@ -499,9 +499,6 @@ bool write_VTP(const std::string& fname,
   {
     std::ofstream os(fname);
     CGAL::set_mode(os, CGAL::IO::ASCII);
-    if(parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-      os.precision(6);
     return write_VTP(os, points, polygons, np);
   }
 }

From bdc0ce34cd38243db19ae1e02e6306af5252813c Mon Sep 17 00:00:00 2001
From: Marc Glisse <marc.glisse@inria.fr>
Date: Wed, 27 Jan 2021 16:33:59 +0100
Subject: [PATCH 227/317] test with eigen

---
 .../include/CGAL/NewKernel_d/Cartesian_LA_base.h       | 10 ++++++----
 NewKernel_d/test/NewKernel_d/Epick_d_eigen.cpp         |  6 ++++++
 2 files changed, 12 insertions(+), 4 deletions(-)
 create mode 100644 NewKernel_d/test/NewKernel_d/Epick_d_eigen.cpp

diff --git a/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_LA_base.h b/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_LA_base.h
index 180101e7867..b5de315b902 100644
--- a/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_LA_base.h
+++ b/NewKernel_d/include/CGAL/NewKernel_d/Cartesian_LA_base.h
@@ -34,16 +34,18 @@
 namespace CGAL {
 
 template < typename FT_, typename Dim_,
-#if 1
+#ifndef CGAL_NEWKERNEL_D_USE_EIGEN_VECTOR
+# if 1
          typename Vec_=Mix_vector<Array_vector<FT_, Dim_>,
                                   Vector_vector<FT_, Dim_>,
                                   FT_, Dim_>,
-#elif 0
+# elif 0
          typename Vec_=Array_vector<FT_, Dim_>,
-#elif 0
+# else
          typename Vec_=Vector_vector<FT_, Dim_>,
+# endif
 #else
-         // Dangerous because of alignment. Ok on x86_64 without AVX.
+         // Dangerous before C++17 because of alignment. Ok on x86_64 without AVX.
          typename Vec_=LA_eigen<FT_, Dim_>,
 #endif
          typename LA_=LA_eigen<FT_,Dim_> >
diff --git a/NewKernel_d/test/NewKernel_d/Epick_d_eigen.cpp b/NewKernel_d/test/NewKernel_d/Epick_d_eigen.cpp
new file mode 100644
index 00000000000..ad71d0ba46b
--- /dev/null
+++ b/NewKernel_d/test/NewKernel_d/Epick_d_eigen.cpp
@@ -0,0 +1,6 @@
+#if  __cpp_aligned_new  >= 201606L
+# define CGAL_NEWKERNEL_D_USE_EIGEN_VECTOR 1
+# include "Epick_d.cpp"
+#else
+int main(){}
+#endif

From 7bf9c14f721f476694abfa9d3fc3cfc48581894c Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 28 Jan 2021 10:01:52 +0100
Subject: [PATCH 228/317] Factorization

---
 BGL/include/CGAL/boost/graph/IO/GOCAD.h              |  9 ++-------
 .../CGAL/boost/graph/IO/Generic_facegraph_printer.h  |  8 +-------
 BGL/include/CGAL/boost/graph/IO/PLY.h                |  7 +------
 BGL/include/CGAL/boost/graph/IO/STL.h                |  7 +------
 BGL/include/CGAL/boost/graph/IO/VTK.h                |  7 +------
 BGL/include/CGAL/boost/graph/named_params_helper.h   | 12 ++++++++++++
 Point_set_3/include/CGAL/Point_set_3/IO/PLY.h        |  7 +------
 .../include/CGAL/IO/write_off_points.h               |  7 +------
 .../include/CGAL/IO/write_ply_points.h               |  7 +------
 .../include/CGAL/IO/write_xyz_points.h               |  7 +------
 Stream_support/include/CGAL/IO/GOCAD.h               |  7 +------
 Stream_support/include/CGAL/IO/Generic_writer.h      |  7 +------
 Stream_support/include/CGAL/IO/PLY.h                 |  8 ++------
 Stream_support/include/CGAL/IO/STL.h                 |  7 +------
 Stream_support/include/CGAL/IO/VTK.h                 |  9 +++------
 Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h      |  7 +------
 16 files changed, 31 insertions(+), 92 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/IO/GOCAD.h b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
index 0c0692b5b6f..ac5ea9957c0 100644
--- a/BGL/include/CGAL/boost/graph/IO/GOCAD.h
+++ b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
@@ -18,7 +18,7 @@
 #include <CGAL/boost/graph/IO/Generic_facegraph_builder.h>
 #include <CGAL/boost/graph/iterator.h>
 #include <CGAL/boost/graph/Named_function_parameters.h>
-
+#include <CGAL/boost/graph/named_params_helper.h>
 #include <boost/container/flat_map.hpp>
 
 #include <fstream>
@@ -303,12 +303,7 @@ bool write_GOCAD(std::ostream& os,
   if(!os.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   os << "GOCAD TSurf 1\n"
         "HEADER {\n"
diff --git a/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h b/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
index 08b6c69c84b..53709564546 100644
--- a/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
+++ b/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
@@ -117,13 +117,7 @@ public:
     if(!m_os.good())
       return false;
 
-    if(!CGAL::parameters::is_default_parameter(
-         get_parameter(np, internal_np::stream_precision)))
-    {
-      const int precision = choose_parameter(
-            get_parameter(np, internal_np::stream_precision), 6);
-      m_os.precision(precision);
-    }
+    set_default_stream_precision(m_os, np);
 
     VPM vpm = choose_parameter(get_parameter(np, internal_np::vertex_point),
                                get_const_property_map(CGAL::vertex_point, g));
diff --git a/BGL/include/CGAL/boost/graph/IO/PLY.h b/BGL/include/CGAL/boost/graph/IO/PLY.h
index 667fed4672a..6ad32267952 100644
--- a/BGL/include/CGAL/boost/graph/IO/PLY.h
+++ b/BGL/include/CGAL/boost/graph/IO/PLY.h
@@ -361,12 +361,7 @@ bool write_PLY(std::ostream& os,
   if(!os.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   // Write header
   os << "ply" << std::endl
diff --git a/BGL/include/CGAL/boost/graph/IO/STL.h b/BGL/include/CGAL/boost/graph/IO/STL.h
index 4ab8df78ab0..11005c1dfb4 100644
--- a/BGL/include/CGAL/boost/graph/IO/STL.h
+++ b/BGL/include/CGAL/boost/graph/IO/STL.h
@@ -262,12 +262,7 @@ bool write_STL(std::ostream& os,
   if(!os.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   if(get_mode(os) == IO::BINARY)
   {
diff --git a/BGL/include/CGAL/boost/graph/IO/VTK.h b/BGL/include/CGAL/boost/graph/IO/VTK.h
index ab3ed3c02cb..a62f3e1cb91 100644
--- a/BGL/include/CGAL/boost/graph/IO/VTK.h
+++ b/BGL/include/CGAL/boost/graph/IO/VTK.h
@@ -439,12 +439,7 @@ bool write_VTP(std::ostream& os,
   if(!os.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   os << "<?xml version=\"1.0\"?>\n"
      << "<VTKFile type=\"PolyData\" version=\"0.1\"";
diff --git a/BGL/include/CGAL/boost/graph/named_params_helper.h b/BGL/include/CGAL/boost/graph/named_params_helper.h
index 0993fb05d69..98f90559ffa 100644
--- a/BGL/include/CGAL/boost/graph/named_params_helper.h
+++ b/BGL/include/CGAL/boost/graph/named_params_helper.h
@@ -560,6 +560,18 @@ CGAL_DEF_GET_INITIALIZED_INDEX_MAP(face, typename boost::graph_traits<Graph>::fa
     Alpha_expansion_boost_adjacency_list_tag
     >::type type;
   };
+
+  template<typename NP>
+  void set_default_stream_precision(std::ostream& os, const NP& np)
+  {
+    if(!parameters::is_default_parameter(
+         parameters::get_parameter(np, internal_np::stream_precision)))
+    {
+      const int precision = parameters::choose_parameter<int>(
+            parameters::get_parameter(np, internal_np::stream_precision));
+      os.precision(precision);
+    }
+  }
 } //namespace CGAL
 
 
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
index 0d5e13db927..ae2d6ad7fb7 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
@@ -493,12 +493,7 @@ bool write_PLY(std::ostream& os,
     return false;
   }
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   os << "ply" << std::endl
      << ((get_mode(os) == IO::BINARY) ? "format binary_little_endian 1.0" : "format ascii 1.0") << std::endl
diff --git a/Point_set_processing_3/include/CGAL/IO/write_off_points.h b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
index e843e770de0..0f075981d0b 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_off_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
@@ -66,12 +66,7 @@ bool write_OFF_PSP(std::ostream& os,
     return false;
   }
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   // Write header
   os << "NOFF" << std::endl;
diff --git a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
index e4c573ec0af..84e5442e810 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
@@ -212,12 +212,7 @@ bool write_PLY(std::ostream& os,
     return false;
   }
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   if (has_normals)
     return write_PLY_with_properties(os, points,
diff --git a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
index b726dd5bac1..2a4ef60d17b 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
@@ -67,12 +67,7 @@ bool write_XYZ_PSP(std::ostream& os,
     return false;
   }
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   // Write positions + normals
   for(typename PointRange::const_iterator it = points.begin(); it != points.end(); it++)
diff --git a/Stream_support/include/CGAL/IO/GOCAD.h b/Stream_support/include/CGAL/IO/GOCAD.h
index 09e90e26949..2be6af7a0ad 100644
--- a/Stream_support/include/CGAL/IO/GOCAD.h
+++ b/Stream_support/include/CGAL/IO/GOCAD.h
@@ -299,12 +299,7 @@ bool write_GOCAD(std::ostream& os,
 
   set_ascii_mode(os); // GOCAD is ASCII only
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   os << "GOCAD TSurf 1\n"
         "HEADER {\n"
diff --git a/Stream_support/include/CGAL/IO/Generic_writer.h b/Stream_support/include/CGAL/IO/Generic_writer.h
index 6b31a609014..c9700536edd 100644
--- a/Stream_support/include/CGAL/IO/Generic_writer.h
+++ b/Stream_support/include/CGAL/IO/Generic_writer.h
@@ -49,12 +49,7 @@ public:
     if(!m_os.good())
       return false;
 
-    if(!parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
-    {
-      const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-      m_os.precision(precision);
-    }
+    set_default_stream_precision(m_os, np);
 
     m_writer.write_header(m_os, points.size(), 0, polygons.size());
     for(std::size_t i=0, end=points.size(); i<end; ++i)
diff --git a/Stream_support/include/CGAL/IO/PLY.h b/Stream_support/include/CGAL/IO/PLY.h
index e3fb7d356e8..0a9346159c2 100644
--- a/Stream_support/include/CGAL/IO/PLY.h
+++ b/Stream_support/include/CGAL/IO/PLY.h
@@ -17,6 +17,7 @@
 #include <CGAL/IO/helpers.h>
 
 #include <CGAL/boost/graph/Named_function_parameters.h>
+#include <CGAL/boost/graph/named_params_helper.h>
 #include <CGAL/property_map.h>
 #include <CGAL/iterator.h>
 
@@ -467,12 +468,7 @@ bool write_PLY(std::ostream& out,
   if(!out.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    out.precision(precision);
-  }
+  set_default_stream_precision(out, np);
 
   // Write header
   out << "ply" << std::endl
diff --git a/Stream_support/include/CGAL/IO/STL.h b/Stream_support/include/CGAL/IO/STL.h
index 4e5c082b24e..437d7f410bb 100644
--- a/Stream_support/include/CGAL/IO/STL.h
+++ b/Stream_support/include/CGAL/IO/STL.h
@@ -317,12 +317,7 @@ bool write_STL(std::ostream& os,
   if(!os.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   if(get_mode(os) == IO::BINARY)
   {
diff --git a/Stream_support/include/CGAL/IO/VTK.h b/Stream_support/include/CGAL/IO/VTK.h
index 304078d2939..76c13581d4e 100644
--- a/Stream_support/include/CGAL/IO/VTK.h
+++ b/Stream_support/include/CGAL/IO/VTK.h
@@ -19,6 +19,8 @@
 #include <CGAL/IO/VTK/VTK_writer.h>
 
 #include <CGAL/boost/graph/Named_function_parameters.h>
+#include <CGAL/boost/graph/named_params_helper.h>
+
 
 #ifdef CGAL_USE_VTK
 #include <vtkSmartPointer.h>
@@ -393,12 +395,7 @@ bool write_VTP(std::ostream& os,
   if(!os.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = choose_parameter(get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   os << "<?xml version=\"1.0\"?>\n"
      << "<VTKFile type=\"PolyData\" version=\"0.1\"";
diff --git a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
index 69b4fe5dd6c..a270c93e1c3 100644
--- a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
+++ b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
@@ -921,12 +921,7 @@ bool write_PLY(std::ostream& os,
   if(!os.good())
     return false;
 
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = parameters::choose_parameter(parameters::get_parameter(np, internal_np::stream_precision), 6);
-    os.precision(precision);
-  }
+  set_default_stream_precision(os, np);
 
   os << "ply" << std::endl
      << ((get_mode(os) == IO::BINARY) ? "format binary_little_endian 1.0" : "format ascii 1.0") << std::endl

From c0cd805afa73f709b09af30fceda32e9022fc2ec Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 28 Jan 2021 10:04:41 +0100
Subject: [PATCH 229/317] clean-up

---
 .../test/Convex_decomposition_3/check_decomposition.cpp         | 2 --
 1 file changed, 2 deletions(-)

diff --git a/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp b/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp
index afb45e7f07d..dd97caf9e5a 100644
--- a/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp
+++ b/Convex_decomposition_3/test/Convex_decomposition_3/check_decomposition.cpp
@@ -48,7 +48,5 @@ int main()
 {
   Nef_polyhedron_3 N;
   std::cin >> N;
-  if(!is)
-    return EXIT_FAILURE;
   check_decomposition(N);
 }

From b2861aefa3b7dfc4db54461a1e4b2ec99b488eea Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Thu, 28 Jan 2021 10:57:01 +0100
Subject: [PATCH 230/317] fixed warning with Vector 3 type

---
 .../internal/Hole_filling/Triangulate_hole_polyline.h          | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index f51ca3e861c..2c41228dc8a 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -1221,7 +1221,6 @@ bool is_planar_2(
   typedef typename Traits::FT FT;
   typedef typename Traits::Point_3 Point_3;
   typedef typename Traits::Plane_3 Plane_3;
-  typedef typename Traits::Vector_3 Vector_3;
   typedef typename Traits::Construct_projected_point_3 Projection_3;
   typedef typename Traits::Compute_squared_distance_3 Squared_distance_3;
 
@@ -1264,7 +1263,7 @@ bool is_planar_2(
   }
 
   // Here, avg_squared_distance is a little bit more tolerant than avg_distance^2.
-  CGAL_assertion(avg_normal != Vector_3());
+  CGAL_assertion(avg_normal != typename Traits::Vector_3());
   const Plane_3 plane = Plane_3(centroid, avg_normal);
   FT avg_squared_distance = FT(0);
   for (std::size_t i = 0; i < n; ++i) {

From f58e6e67d37a7c3bc8d027156d9aa76a58aab72c Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 28 Jan 2021 12:19:55 +0100
Subject: [PATCH 231/317] Replace Value by Distance

---
 .../Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
index 8400574be2c..c267e1bf9ca 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
@@ -439,8 +439,8 @@ void Polyhedron_demo_offset_meshing_plugin::inflate_mesh()
       Z = (box.max)(2)-(box.min)(2);
   double diag = sm_item->diagonalBbox();
   double offset_value = QInputDialog::getDouble(mw,
-                                                QString("Choose Inflate Value"),
-                                                QString("Offset Value (use negative number for deflate)"),
+                                                QString("Choose Inflate Distance"),
+                                                QString("Inflate Distance (use negative number for deflate)"),
                                                 0.1*diag,
                                                 -(std::numeric_limits<double>::max)(),
                                                 (std::numeric_limits<double>::max)(), 10);

From ce75d010e93c6cc0ca0ed3997d925b89d7eb161b Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Thu, 28 Jan 2021 14:19:22 +0100
Subject: [PATCH 232/317] First try: use nullptr as a criterion to detect a
 moved-from object

---
 Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
index 0831c09c656..1fb2611c15d 100644
--- a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
+++ b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
@@ -114,6 +114,7 @@ public:
     , random(std::move(other.random))
   {
     hierarchy[0] = this;
+    other.hierarchy[0] = nullptr;
     for(int i=1; i<maxlevel; ++i) {
       hierarchy[i] = other.hierarchy[i];
       other.hierarchy[i] = nullptr;
@@ -503,7 +504,8 @@ void
 Triangulation_hierarchy_3<Tr>::
 clear()
 {
-  for(int i=0;i<maxlevel;++i)
+  if(hierarchy[0] == nullptr) return; // moved-from object
+  for(int i=1;i<maxlevel;++i)
     hierarchy[i]->clear();
 }
 

From b4256accb94cbecef9413b894a87d25589696f98 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Thu, 28 Jan 2021 16:04:27 +0100
Subject: [PATCH 233/317] WIP: Second try

Something is off, because the test suite does not pass.
---
 .../include/CGAL/Triangulation_hierarchy_3.h  | 62 ++++++++++---------
 1 file changed, 32 insertions(+), 30 deletions(-)

diff --git a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
index 1fb2611c15d..da7ce4ff8d7 100644
--- a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
+++ b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
@@ -92,7 +92,26 @@ public:
 
 private:
 
+  template <std::size_t...Is>
+  constexpr std::array<Tr_Base, sizeof...(Is)>
+  make_array_of_triangulations(const Geom_traits& traits, std::index_sequence<Is...>)
+  {
+    return {{(static_cast<void>(Is), traits)...}};
+  }
+  template <std::size_t N>
+  constexpr std::array<Tr_Base, N> create_array_of_triangulation(const Geom_traits& traits)
+  {
+    return make_array_of_triangulations(traits, std::make_index_sequence<N>());
+  }
+
+  void init_hierarchy() {
+    hierarchy[0] = this;
+    for(int i=1; i<maxlevel; ++i)
+      hierarchy[i] = &hierarchy_triangulations[i-1];
+  }
+
   // here is the stack of triangulations which form the hierarchy
+  std::array<Tr_Base,maxlevel-1> hierarchy_triangulations;
   std::array<Tr_Base*,maxlevel> hierarchy;
   boost::rand48  random;
 
@@ -111,25 +130,20 @@ public:
   Triangulation_hierarchy_3(Triangulation_hierarchy_3&& other)
     noexcept( noexcept(Tr_Base(std::move(other))) )
     : Tr_Base(std::move(other))
+    , hierarchy_triangulations(std::move(other.hierarchy_triangulations))
     , random(std::move(other.random))
   {
-    hierarchy[0] = this;
-    other.hierarchy[0] = nullptr;
-    for(int i=1; i<maxlevel; ++i) {
-      hierarchy[i] = other.hierarchy[i];
-      other.hierarchy[i] = nullptr;
-    }
+    init_hierarchy();
   }
 
   template < typename InputIterator >
   Triangulation_hierarchy_3(InputIterator first, InputIterator last,
                             const Geom_traits& traits = Geom_traits())
     : Tr_Base(traits)
+    , hierarchy_triangulations(create_array_of_triangulation<maxlevel-1>(traits))
   {
-      hierarchy[0] = this;
-      for(int i=1; i<maxlevel; ++i)
-          hierarchy[i] = new Tr_Base(traits);
-      insert(first, last);
+    init_hierarchy();
+    insert(first, last);
   }
 
   Triangulation_hierarchy_3 & operator=(const Triangulation_hierarchy_3& tr)
@@ -143,21 +157,12 @@ public:
     noexcept( noexcept(Triangulation_hierarchy_3(std::move(other))) )
   {
     static_cast<Tr_Base&>(*this) = std::move(other);
-    hierarchy[0] = this;
-    for(int i=1; i<maxlevel; ++i) {
-      hierarchy[i] = other.hierarchy[i];
-      other.hierarchy[i] = nullptr;
-    }
+    hierarchy_triangulations = std::move(hierarchy_triangulations);
+    init_hierarchy();
     return *this;
   }
 
-  ~Triangulation_hierarchy_3()
-  {
-    clear();
-    for(int i=1; i<maxlevel; ++i) {
-      delete hierarchy[i];
-    }
-  };
+  ~Triangulation_hierarchy_3() = default;
 
   void swap(Triangulation_hierarchy_3 &tr)
   {
@@ -461,10 +466,9 @@ template <class Tr >
 Triangulation_hierarchy_3<Tr>::
 Triangulation_hierarchy_3(const Geom_traits& traits)
   : Tr_Base(traits)
+  , hierarchy_triangulations(create_array_of_triangulation<maxlevel-1>(traits))
 {
-  hierarchy[0] = this;
-  for(int i=1;i<maxlevel;++i)
-    hierarchy[i] = new Tr_Base(traits);
+  init_hierarchy();
 }
 
 // copy constructor duplicates vertices and cells
@@ -472,10 +476,9 @@ template <class Tr>
 Triangulation_hierarchy_3<Tr>::
 Triangulation_hierarchy_3(const Triangulation_hierarchy_3<Tr> &tr)
     : Tr_Base(tr)
+    , hierarchy_triangulations(tr.hierarchy_triangulations)
 {
-  hierarchy[0] = this;
-  for(int i=1; i<maxlevel; ++i)
-    hierarchy[i] = new Tr_Base(*tr.hierarchy[i]);
+  init_hierarchy();
 
   // up and down have been copied in straightforward way
   // compute a map at lower level
@@ -504,8 +507,7 @@ void
 Triangulation_hierarchy_3<Tr>::
 clear()
 {
-  if(hierarchy[0] == nullptr) return; // moved-from object
-  for(int i=1;i<maxlevel;++i)
+  for(int i=0;i<maxlevel;++i)
     hierarchy[i]->clear();
 }
 

From 51086d5678633943398d03241cd46f1a92de7ca8 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Thu, 28 Jan 2021 17:12:26 +0000
Subject: [PATCH 234/317] When using a reference for the functor we must
 generate a new functor in the for loop

---
 Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h
index 0b4ae797fb3..bcd0f1b13c0 100644
--- a/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h
+++ b/Convex_hull_2/include/CGAL/Convex_hull_2/ch_bykat_impl.h
@@ -42,7 +42,6 @@ ch_bykat(InputIterator first, InputIterator last,
   typedef typename Traits::Equal_2                         Equal_2;
 
   Left_turn_2 left_turn    = ch_traits.left_turn_2_object();
-  Less_dist   less_dist    = ch_traits.less_signed_distance_to_line_2_object();
   Equal_2     equal_points = ch_traits.equal_2_object();
 
   if (first == last) return result;
@@ -81,6 +80,8 @@ ch_bykat(InputIterator first, InputIterator last,
 
   for (;;)
   {
+    //  This functor must be in the for loop so that the Convex_hull_constructive traits_2 works correctly
+    Less_dist less_dist = ch_traits.less_signed_distance_to_line_2_object();
       if ( l != r)
       {
         Point_2 c = *std::min_element( l, r, [&less_dist,&a,&b](const Point_2&p1, const Point_2& p2)

From 8e23769d8ef007a3c4c5e07294199751a7831c06 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 29 Jan 2021 09:28:51 +0100
Subject: [PATCH 235/317] Add missing overloads for
 set_default_stream_precision()

---
 Stream_support/include/CGAL/IO/OI/Inventor_ostream.h | 12 ++++++++++++
 Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h | 12 ++++++++++++
 2 files changed, 24 insertions(+)

diff --git a/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h b/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
index 42d2cd78182..20f4f5d25c0 100644
--- a/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
+++ b/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
@@ -89,6 +89,18 @@ private:
   }
 };
 
+template<typename NP>
+void set_default_stream_precision(Inventor_ostream_base& os, const NP& np)
+{
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = parameters::choose_parameter<int>(
+          parameters::get_parameter(np, internal_np::stream_precision));
+    os.os().precision(precision);
+  }
+}
+
 } // namespace CGAL
 
 #endif // CGAL_IO_INVENTOR_OSTREAM_H
diff --git a/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h b/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
index 1de37df3967..cb8ef7ecc47 100644
--- a/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
+++ b/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
@@ -104,6 +104,17 @@ inline VRML_2_ostream& operator<<(VRML_2_ostream& os,
   return os;
 }
 
+template<typename NP>
+void set_default_stream_precision(VRML_2_ostream& os, const NP& np)
+{
+  if(!parameters::is_default_parameter(
+       parameters::get_parameter(np, internal_np::stream_precision)))
+  {
+    const int precision = parameters::choose_parameter<int>(
+          parameters::get_parameter(np, internal_np::stream_precision));
+    os.os().precision(precision);
+  }
+}
 } // namespace CGAL
 
 #endif // CGAL_IO_VRML_2_OSTREAM_H
@@ -315,4 +326,5 @@ operator<<(VRML_2_ostream& os,
 } //namespace CGAL
 
 #endif // CGAL_IO_VRML_VRML_2_SEGMENT_3
+
 #endif // CGAL_SPHERE_3_H

From 91f8b4a09fe0bacd661c3621739fc6facca0a56e Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 29 Jan 2021 09:43:53 +0100
Subject: [PATCH 236/317] fix write_off_points()

---
 Point_set_processing_3/include/CGAL/IO/write_off_points.h | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/Point_set_processing_3/include/CGAL/IO/write_off_points.h b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
index 0f075981d0b..0300012f350 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_off_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
@@ -207,8 +207,7 @@ bool write_OFF(const std::string& filename,
                )
 {
   std::ofstream os(filename);
-  if(parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
+  set_default_stream_precision(os, np);
   return write_OFF(os, points, np);
 }
 

From 8f0b2bb446ab4b987cb75429c35103de3159cea6 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 27 Jan 2021 19:09:29 +0100
Subject: [PATCH 237/317] add an example do the union of a set of meshes in
 parallel

---
 .../Polygon_mesh_processing/CMakeLists.txt    |  3 ++
 .../corefinement_parallel_union_meshes.cpp    | 53 +++++++++++++++++++
 2 files changed, 56 insertions(+)
 create mode 100644 Polygon_mesh_processing/examples/Polygon_mesh_processing/corefinement_parallel_union_meshes.cpp

diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt b/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
index 3cc60a4a650..e34c91b8892 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/CMakeLists.txt
@@ -123,6 +123,9 @@ if(TARGET CGAL::TBB_support)
   target_link_libraries(self_intersections_example PUBLIC CGAL::TBB_support)
   target_link_libraries(hausdorff_distance_remeshing_example
                         PUBLIC CGAL::TBB_support)
+
+  create_single_source_cgal_program("corefinement_parallel_union_meshes.cpp")
+  target_link_libraries(corefinement_parallel_union_meshes PUBLIC CGAL::TBB_support)
 else()
   message(
     STATUS "NOTICE: Intel TBB was not found. Sequential code will be used.")
diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefinement_parallel_union_meshes.cpp b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefinement_parallel_union_meshes.cpp
new file mode 100644
index 00000000000..0e5c68282da
--- /dev/null
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/corefinement_parallel_union_meshes.cpp
@@ -0,0 +1,53 @@
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Polygon_mesh_processing/transform.h>
+#include <CGAL/Surface_mesh.h>
+
+#include <CGAL/Polygon_mesh_processing/corefinement.h>
+#include <CGAL/Polygon_mesh_processing/repair.h>
+
+#include <tbb/parallel_for.h>
+#include <tbb/blocked_range.h>
+
+typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
+typedef Kernel::Point_3 Point_3;
+typedef CGAL::Surface_mesh<Point_3> Mesh;
+
+namespace PMP = CGAL::Polygon_mesh_processing;
+
+int main(int argc, char** argv)
+{
+  std::ifstream in(argc>1?argv[1]:"data/eight.off");
+  int nb_copies = argc > 2 ? atoi(argv[2]) : 100;
+  if (nb_copies<=0) return 1;
+  std::vector<Mesh> meshes(nb_copies);
+  in >> meshes[0];
+  for (int i=1; i<nb_copies; ++i)
+  {
+    CGAL::Aff_transformation_3<Kernel> trans(CGAL::Translation(),  Kernel::Vector_3(i*0.2, 0, 0));
+    meshes[i]=meshes[0];
+    PMP::transform(trans, meshes[i]);
+  }
+
+  // lambda function used to do the union of two meshes:
+  // we join the left part of the mesh vector with the right part
+  // as the right part will be discarded by the resize in the while loop
+  auto f = [&meshes](const tbb::blocked_range<std::size_t>& range)
+           {
+             for( std::size_t k = range.begin(); k != range.end(); ++k)
+             {
+               PMP::corefine_and_compute_union(meshes[k], meshes[meshes.size() - k - 1], meshes[k]);
+             }
+           };
+
+  // do the union of meshes in parallel
+  while (meshes.size()>1)
+  {
+    tbb::parallel_for(tbb::blocked_range<std::size_t>(0, meshes.size()/2), f);
+    meshes.resize((meshes.size() + 1) / 2);
+  }
+
+  std::ofstream out("multiple_union.off");
+  out << std::setprecision(17) << meshes[0];
+
+  return 0;
+}

From 2f2b33c0ae5eda72870ae919314d1d81bfe6a838 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 29 Jan 2021 10:16:52 +0100
Subject: [PATCH 238/317] clean-up

---
 .../Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp | 4 ----
 1 file changed, 4 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
index c267e1bf9ca..428d3ad6114 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
@@ -432,11 +432,7 @@ void Polyhedron_demo_offset_meshing_plugin::inflate_mesh()
   SMesh* sMesh = sm_item->face_graph();
   if(!sMesh)
     return;
-  Scene_item::Bbox box = bbox(sMesh);
 
-  double X=(box.max)(0)-(box.min)(0),
-      Y = (box.max)(1)-(box.min)(1),
-      Z = (box.max)(2)-(box.min)(2);
   double diag = sm_item->diagonalBbox();
   double offset_value = QInputDialog::getDouble(mw,
                                                 QString("Choose Inflate Distance"),

From a91f0239cdbcdb7ff830e9a4f58cd2aa64a2e835 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Fri, 29 Jan 2021 10:05:48 +0100
Subject: [PATCH 239/317] Fix QP solver test: raw replacement that is working

---
 QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h | 5 ++---
 QP_solver/include/CGAL/QP_solver/QP_solver.h             | 6 +++---
 2 files changed, 5 insertions(+), 6 deletions(-)

diff --git a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
index f3f879d8bb7..04e8f3f36d4 100644
--- a/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
+++ b/QP_solver/include/CGAL/QP_solver/QP_basis_inverse_impl.h
@@ -178,11 +178,10 @@ z_replace_original_by_original(ForwardIterator y_l_it,
 
     // tmp_l -part
     std::transform(y_l_it, (y_l_it+s), x_l.begin(), tmp_l.begin(),
-        [&s_delta](const ET& v1, const ET& v2){ return v1 + v2 * s_delta; });
-
+        [&s_delta](const ET& v1, const ET& v2){ return std::plus<ET>()(v1, s_delta * v2); });
     // tmp_x -part
     std::transform(y_x_it, (y_x_it+b), x_x.begin(), tmp_x.begin(),
-        [&s_delta](const ET& v1, const ET& v2){ return v1 + v2 * s_delta; });
+        [&s_delta](const ET& v1, const ET& v2){ return std::plus<ET>()(v1, s_delta * v2); });
     tmp_x[k_i] -= d;
 
     // prepare \hat{k}_{2} -scalar
diff --git a/QP_solver/include/CGAL/QP_solver/QP_solver.h b/QP_solver/include/CGAL/QP_solver/QP_solver.h
index ff3676702d6..889fdf25a1b 100644
--- a/QP_solver/include/CGAL/QP_solver/QP_solver.h
+++ b/QP_solver/include/CGAL/QP_solver/QP_solver.h
@@ -1599,7 +1599,7 @@ ratio_test_1__q_x_S( Tag_false)
                     q_x_S.begin(),
                     [this](const ET& n1, const RT& n2)
                     {
-                      return n1 - this->d *  NT_converter<RT,ET>() (n2);
+                      return std::minus<ET>()(n1,this->d * NT_converter<RT,ET>() (n2));
                     });
   }
 
@@ -1940,13 +1940,13 @@ compute__x_B_S( Tag_false /*has_equalities_only_and_full_rank*/,
                   x_B_S.begin(),
                   x_B_S.begin(),
                   [this](const ET& n1, const ET& n2)
-                  { return this->d * n1 - n2; });
+                  { return std::minus<ET>()(this->d * n1, n2); });
 
   // b_S_B - ( A_S_BxB_O * x_B_O) - r_S_B
   std::transform(x_B_S.begin(), x_B_S.begin()+S_B.size(),
                  r_S_B.begin(), x_B_S.begin(),
                  [this](const ET& n1, const ET& n2)
-                 { return n1 - this->d * n2; });
+                 { return std::minus<ET>()(n1, this->d * n2); });
 
   // x_B_S = +- ( b_S_B - A_S_BxB_O * x_B_O)
   Value_iterator  x_it = x_B_S.begin();

From 557cf7f2f194354c0d3d3ffb383c9b9d8769a84f Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Fri, 29 Jan 2021 10:36:59 +0000
Subject: [PATCH 240/317] Use invoke_result for C++-17

---
 Matrix_search/include/CGAL/Cartesian_matrix.h | 6 ++++++
 1 file changed, 6 insertions(+)

diff --git a/Matrix_search/include/CGAL/Cartesian_matrix.h b/Matrix_search/include/CGAL/Cartesian_matrix.h
index 1bad69fc2d4..d3ad276a715 100644
--- a/Matrix_search/include/CGAL/Cartesian_matrix.h
+++ b/Matrix_search/include/CGAL/Cartesian_matrix.h
@@ -18,6 +18,7 @@
 
 #include <CGAL/basic.h>
 #include <CGAL/Optimisation/assertions.h>
+#include <type_traits>
 
 namespace CGAL {
 
@@ -26,7 +27,12 @@ template < class Operation,
            class RandomAccessIC_column >
 class Cartesian_matrix {
 public:
+
+#if CGAL_CXX17 && __has_cpp_attribute(nodiscard)
+  typedef typename std::invoke_result<Operation, typename std::iterator_traits<RandomAccessIC_row>::value_type, typename std::iterator_traits<RandomAccessIC_column>::value_type>::type Value;
+#else
   typedef typename Operation::result_type           Value;
+#endif
 
   Cartesian_matrix(RandomAccessIC_row r_f,
                    RandomAccessIC_row r_l,

From 55e23ae840b833f931752980069e73119540021a Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Fri, 29 Jan 2021 10:37:41 +0000
Subject: [PATCH 241/317] Remove types from Binary_compose_2 (which is not
 documented

---
 STL_Extension/include/CGAL/function_objects.h | 10 +++-------
 1 file changed, 3 insertions(+), 7 deletions(-)

diff --git a/STL_Extension/include/CGAL/function_objects.h b/STL_Extension/include/CGAL/function_objects.h
index 09fdf6343a6..c9182f971b6 100644
--- a/STL_Extension/include/CGAL/function_objects.h
+++ b/STL_Extension/include/CGAL/function_objects.h
@@ -426,18 +426,13 @@ compose1_2(const Op1& op1, const Op2& op2)
 
 template < class Op1, class Op2, class Op3 >
 class Binary_compose_2
-  : public CGAL::cpp98::binary_function< typename Op2::argument_type,
-                                         typename Op3::argument_type,
-                                         typename Op1::result_type >
+
 {
 protected:
   Op1 op1;
   Op2 op2;
   Op3 op3;
 public:
-  typedef typename Op2::argument_type  first_argument_type;
-  typedef typename Op3::argument_type  second_argument_type;
-  typedef typename Op1::result_type    result_type;
 
   Binary_compose_2(const Op1& x, const Op2& y, const Op3& z)
   : op1(x), op2(y), op3(z) {}
@@ -455,7 +450,8 @@ public:
     return *this;
   }
 
-  result_type
+  template <typename first_argument_type, typename second_argument_type>
+  decltype(auto)
   operator()(const first_argument_type& x,
              const second_argument_type& y) const
   { return op1(op2(x), op3(y)); }

From 0cb34126afcba5d8ee9c4ebb8c66c6f0b38ada42 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Fri, 29 Jan 2021 12:35:16 +0000
Subject: [PATCH 242/317] Remove typedefs

---
 STL_Extension/include/CGAL/function_objects.h | 24 ++++++-------------
 1 file changed, 7 insertions(+), 17 deletions(-)

diff --git a/STL_Extension/include/CGAL/function_objects.h b/STL_Extension/include/CGAL/function_objects.h
index c9182f971b6..ae9601bbd02 100644
--- a/STL_Extension/include/CGAL/function_objects.h
+++ b/STL_Extension/include/CGAL/function_objects.h
@@ -349,19 +349,16 @@ class Creator_uniform_d {
 
 template < class Op1, class Op2 >
 class Unary_compose_1
-  : public CGAL::cpp98::unary_function< typename Op2::argument_type,
-                                        typename Op1::result_type >
 {
 protected:
   Op1 op1;
   Op2 op2;
 public:
-  typedef typename Op2::argument_type   argument_type;
-  typedef typename Op1::result_type     result_type;
 
   Unary_compose_1(const Op1& x, const Op2& y) : op1(x), op2(y) {}
 
-  result_type
+  template <typename argument_type>
+  decltype(auto)
   operator()(const argument_type& x) const
   { return op1(op2(x)); }
 };
@@ -373,21 +370,19 @@ compose1_1(const Op1& op1, const Op2& op2)
 
 template < class Op1, class Op2, class Op3 >
 class Binary_compose_1
-  : public CGAL::cpp98::unary_function< typename Op2::argument_type,
-                                        typename Op1::result_type >
 {
 protected:
   Op1 op1;
   Op2 op2;
   Op3 op3;
 public:
-  typedef typename Op2::argument_type  argument_type;
-  typedef typename Op1::result_type    result_type;
+ 
 
   Binary_compose_1(const Op1& x, const Op2& y, const Op3& z)
   : op1(x), op2(y), op3(z) {}
 
-  result_type
+  template <typename argument_type>
+  decltype(auto)
   operator()(const argument_type& x) const
   { return op1(op2(x), op3(x)); }
 };
@@ -399,21 +394,16 @@ compose2_1(const Op1& op1, const Op2& op2, const Op3& op3)
 
 template < class Op1, class Op2 >
 class Unary_compose_2
-  : public CGAL::cpp98::binary_function< typename Op2::first_argument_type,
-                                         typename Op2::second_argument_type,
-                                         typename Op1::result_type >
 {
 protected:
   Op1 op1;
   Op2 op2;
 public:
-  typedef typename Op2::first_argument_type   first_argument_type;
-  typedef typename Op2::second_argument_type  second_argument_type;
-  typedef typename Op1::result_type           result_type;
 
   Unary_compose_2(const Op1& x, const Op2& y) : op1(x), op2(y) {}
 
-  result_type
+  template <typename first_argument_type, typename second_argument_type>
+  decltype(auto)
   operator()(const first_argument_type& x,
              const second_argument_type& y) const
   { return op1(op2(x, y)); }

From 2ac1b9632b2cf241010e3f9a7e0f1c9946e958f3 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Fri, 29 Jan 2021 12:35:52 +0000
Subject: [PATCH 243/317] Fix composition testsuite

---
 STL_Extension/test/STL_Extension/test_composition.cpp | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/STL_Extension/test/STL_Extension/test_composition.cpp b/STL_Extension/test/STL_Extension/test_composition.cpp
index c9a3caaea61..a0631437393 100644
--- a/STL_Extension/test/STL_Extension/test_composition.cpp
+++ b/STL_Extension/test/STL_Extension/test_composition.cpp
@@ -28,7 +28,6 @@ struct Myf {
 int main()
 {
   plus< int >        pl;
-  multiplies< int >  mu;
   std::function<int(int)> op1 = [](int i){ return i+1; };
   std::function<int(int)> op2 = [](int i){ return i * 2; };
 
@@ -48,7 +47,7 @@ int main()
 
   // compose2_1:
   transform(b, b + 5, a, compose2_1(pl, op2, op2));
-  transform(b, b + 5, b, bind1st(mu, 4));
+  transform(b, b + 5, b, [](int i) { return 4 * i;} );
   assert(equal(a, a + 5, b));
 
   // compare_to_less

From fd2844092754f9254404f03ff7d9d35fc0e9da53 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Fri, 29 Jan 2021 12:36:45 +0000
Subject: [PATCH 244/317] Don't use iterator_traits

---
 .../include/CGAL/Rectangular_p_center_traits_2.h             | 5 +++--
 1 file changed, 3 insertions(+), 2 deletions(-)

diff --git a/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h b/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
index 4233123e225..9e2345a82f7 100644
--- a/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
+++ b/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
@@ -290,8 +290,9 @@ bounding_box_2(ForwardIterator f, ForwardIterator l, const Traits& t)
   return rect(v(rect(*xmin, *ymin), 0), v(rect(*xmax, *ymax), 2));
 } // bounding_box_2(f, l, t)
 template < class ForwardIterator >
-inline typename
-std::iterator_traits< ForwardIterator >::value_type::R::Iso_rectangle_2
+inline 
+//typename std::iterator_traits< ForwardIterator >::value_type::R::Iso_rectangle_2
+decltype(auto)
 bounding_box_2(ForwardIterator f, ForwardIterator l)
 // PRE: f != l.
 {

From 89d199616b0ea9ccdeb69d081b393075ed82342c Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 29 Jan 2021 15:56:13 +0100
Subject: [PATCH 245/317] Remove remaining not header_only code

---
 Installation/CMakeLists.txt              |  2 --
 Installation/cmake/modules/UseCGAL.cmake | 14 +++-----------
 2 files changed, 3 insertions(+), 13 deletions(-)

diff --git a/Installation/CMakeLists.txt b/Installation/CMakeLists.txt
index 9697b7a6f99..16d808ab400 100644
--- a/Installation/CMakeLists.txt
+++ b/Installation/CMakeLists.txt
@@ -698,8 +698,6 @@ set(CGAL_INSTALL_MAN_DIR
 
 message("== Generating build files ==")
 
-set(CGAL_LIBRARIES_DIR ${CMAKE_BINARY_DIR}/lib)
-
 set(CGAL_INCLUDE_DIRS ${CMAKE_BINARY_DIR}/include)
 
 foreach(package ${CGAL_CONFIGURED_PACKAGES})
diff --git a/Installation/cmake/modules/UseCGAL.cmake b/Installation/cmake/modules/UseCGAL.cmake
index 963354f8aee..4d44ca90219 100644
--- a/Installation/cmake/modules/UseCGAL.cmake
+++ b/Installation/cmake/modules/UseCGAL.cmake
@@ -44,16 +44,8 @@ if(NOT USE_CGAL_FILE_INCLUDED)
   include_directories ( SYSTEM ${CGAL_3RD_PARTY_INCLUDE_DIRS} )
   add_definitions     ( ${CGAL_3RD_PARTY_DEFINITIONS}  ${CGAL_DEFINITIONS}  )
 
-  if (CGAL_HEADER_ONLY)
-    if(NOT CGAL_NO_BLANKET_LINKING)
-      link_directories    ( ${CGAL_3RD_PARTY_LIBRARIES_DIRS} )
-      link_libraries      ( ${CGAL_LIBRARIES} ${CGAL_3RD_PARTY_LIBRARIES}      )
-    endif()
-  else()
-    if(NOT CGAL_NO_BLANKET_LINKING)
-      link_directories    ( ${CGAL_LIBRARIES_DIR} ${CGAL_3RD_PARTY_LIBRARIES_DIRS} )
-      link_libraries      ( ${CGAL_LIBRARIES}     ${CGAL_3RD_PARTY_LIBRARIES}      )
-    endif()
+  if(NOT CGAL_NO_BLANKET_LINKING)
+    link_directories    ( ${CGAL_3RD_PARTY_LIBRARIES_DIRS} )
+    link_libraries      ( ${CGAL_LIBRARIES} ${CGAL_3RD_PARTY_LIBRARIES}      )
   endif()
-
 endif()

From e49fd1e7323461384063837f86d0c4e6e3bb4e62 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Fri, 29 Jan 2021 18:04:19 +0100
Subject: [PATCH 246/317] deref it once

---
 Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h | 2 +-
 Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp   | 3 ++-
 STL_Extension/include/CGAL/function_objects.h                 | 1 -
 3 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h b/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
index 9e2345a82f7..8b2c9e70339 100644
--- a/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
+++ b/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
@@ -290,7 +290,7 @@ bounding_box_2(ForwardIterator f, ForwardIterator l, const Traits& t)
   return rect(v(rect(*xmin, *ymin), 0), v(rect(*xmax, *ymax), 2));
 } // bounding_box_2(f, l, t)
 template < class ForwardIterator >
-inline 
+inline
 //typename std::iterator_traits< ForwardIterator >::value_type::R::Iso_rectangle_2
 decltype(auto)
 bounding_box_2(ForwardIterator f, ForwardIterator l)
diff --git a/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp b/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp
index cc50d5f5c1b..019ede1ed24 100644
--- a/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp
+++ b/Convex_hull_2/examples/Convex_hull_2/ch_graham_anderson.cpp
@@ -22,7 +22,8 @@ ch_graham_anderson( InputIterator  first, InputIterator  beyond,
   std::vector< Point_2 >  V (first, beyond);
   typename std::vector< Point_2 >::iterator it =
                std::min_element(V.begin(), V.end(), Less_xy_2());
-  std::sort( V.begin(), V.end(), [it](const Point_2& p1, const Point_2& p2){return Less_rotate_ccw_2()(*it, p1, p2);} );
+  const Point_2 p = *it;
+  std::sort( V.begin(), V.end(), [&p](const Point_2& p1, const Point_2& p2){return Less_rotate_ccw_2()(p, p1, p2);} );
   if ( *(V.begin()) != *(V.rbegin()) )
   {
     result = CGAL::ch_graham_andrew_scan( V.begin(), V.end(), result, ch_traits);
diff --git a/STL_Extension/include/CGAL/function_objects.h b/STL_Extension/include/CGAL/function_objects.h
index ae9601bbd02..11bcf352a00 100644
--- a/STL_Extension/include/CGAL/function_objects.h
+++ b/STL_Extension/include/CGAL/function_objects.h
@@ -376,7 +376,6 @@ protected:
   Op2 op2;
   Op3 op3;
 public:
- 
 
   Binary_compose_1(const Op1& x, const Op2& y, const Op3& z)
   : op1(x), op2(y), op3(z) {}

From 83d7a89f22585a2da956b411bcd1817c80908f49 Mon Sep 17 00:00:00 2001
From: Giles Bathgate <giles.bathgate@gmail.com>
Date: Fri, 29 Jan 2021 17:32:05 +0000
Subject: [PATCH 247/317] Calculate normals for facets more efficiently

---
 Nef_3/include/CGAL/normal_vector_newell_3.h | 100 +++++++++++++++-----
 1 file changed, 78 insertions(+), 22 deletions(-)

diff --git a/Nef_3/include/CGAL/normal_vector_newell_3.h b/Nef_3/include/CGAL/normal_vector_newell_3.h
index 282f8e5b5cb..5e34f350d33 100644
--- a/Nef_3/include/CGAL/normal_vector_newell_3.h
+++ b/Nef_3/include/CGAL/normal_vector_newell_3.h
@@ -23,6 +23,8 @@
 #undef CGAL_NEF_DEBUG
 #define CGAL_NEF_DEBUG 79
 #include <CGAL/Nef_2/debug.h>
+#include <CGAL/representation_tags.h>
+#include <CGAL/Kernel_traits.h>
 
 namespace CGAL {
 
@@ -30,32 +32,74 @@ namespace internal_nef
 {
 template <class Handle, class Vector>
 CGAL_MEDIUM_INLINE
-void newell_single_step_3( const Handle& p, const Handle& q, Vector& n )
+void newell_single_step_3( const Handle& p, const Handle& q, Vector& n, const Homogeneous_tag&)
 {
+  typedef typename Kernel_traits<Vector>::Kernel::RT RT;
+  const RT& phw = p.hw();
+  const RT& qhw = q.hw();
+  const RT& nhw = n.hw();
+  const RT& sq = phw * phw * qhw * qhw;
+  const RT& phyqhw = p.hy() * qhw;
+  const RT& qhyphw = q.hy() * phw;
+  const RT& phxqhw = p.hx() * qhw;
+  const RT& qhxphw = q.hx() * phw;
+  const RT& phzqhw = p.hz() * qhw;
+  const RT& qhzphw = q.hz() * phw;
+
   n = Vector(
     n.hx()
-        * p.hw() * p.hw()
-        * q.hw() * q.hw()
-      +   n.hw()
-        * ( p.hy() * q.hw() - q.hy() * p.hw())
-        * ( p.hz() * q.hw() + q.hz() * p.hw()),
+        * sq
+      + nhw
+        * ( phyqhw - qhyphw )
+        * ( phzqhw + qhzphw ),
     n.hy()
-        * p.hw() * p.hw()
-        * q.hw() * q.hw()
-      +   n.hw()
-        * ( p.hz() * q.hw() - q.hz() * p.hw())
-        * ( p.hx() * q.hw() + q.hx() * p.hw()),
+        * sq
+      + nhw
+        * ( phzqhw - qhzphw )
+        * ( phxqhw + qhxphw ),
     n.hz()
-        * p.hw() * p.hw()
-        * q.hw() * q.hw()
-      +   n.hw()
-        * ( p.hx() * q.hw() - q.hx() * p.hw())
-        * ( p.hy() * q.hw() + q.hy() * p.hw()),
+        * sq
+      + nhw
+        * ( phxqhw - qhxphw )
+        * ( phyqhw + qhyphw ),
     n.hw()
-        * p.hw() * p.hw()
-        * q.hw() * q.hw()
+        * sq
     );
 }
+
+template <class Handle, class Vector>
+CGAL_MEDIUM_INLINE
+void newell_single_step_3( const Handle& p, const Handle& q, Vector& n, const Cartesian_tag&)
+{
+  typedef typename Kernel_traits<Vector>::Kernel::FT FT;
+  const FT& phy = p.hy();
+  const FT& qhy = q.hy();
+  const FT& phx = p.hx();
+  const FT& qhx = q.hx();
+  const FT& phz = p.hz();
+  const FT& qhz = q.hz();
+
+  n = Vector(
+    n.hx()
+        + ( phy - qhy )
+        * ( phz + qhz ),
+    n.hy()
+        + ( phz - qhz )
+        * ( phx + qhx ),
+    n.hz()
+        + ( phx - qhx )
+        * ( phy + qhy )
+    );
+}
+
+template <class IC>
+bool is_triangle_3( const IC& first )
+{
+    IC last(first);
+    ++last; ++last; ++last;
+    return first==last;
+}
+
 }
 
 template <class IC, class Vector>
@@ -70,6 +114,12 @@ void normal_vector_newell_3( IC first, IC last, Vector& n )
     // three.
 {
     CGAL_assertion( !CGAL::is_empty_range( first, last));
+    if(internal_nef::is_triangle_3(first)) {
+      n = orthogonal_vector(*first,*(++first),*(++first));
+      return;
+    }
+
+    typedef typename Kernel_traits<Vector>::Kernel R;
     // Compute facet normals via the Newell-method as described in
     // Filippo Tampieri: Newell's Method for Computing the Plane
     // Equation of a Polygon. Graphics Gems III, David Kirk,
@@ -80,11 +130,11 @@ void normal_vector_newell_3( IC first, IC last, Vector& n )
     IC prev = first;
     ++first;
     while( first != last) {
-        internal_nef::newell_single_step_3( *prev, *first, n);
+        internal_nef::newell_single_step_3( *prev, *first, n, typename R::Kernel_tag());
         prev = first;
         ++first;
     }
-    internal_nef::newell_single_step_3( *prev, *start_point, n);
+    internal_nef::newell_single_step_3( *prev, *start_point, n, typename R::Kernel_tag());
     CGAL_NEF_TRACEN("newell normal vector "<<n);
 }
 
@@ -92,6 +142,12 @@ template <class IC, class Vector, class VertexPointMap>
 void normal_vector_newell_3( IC first, IC last, VertexPointMap vpm, Vector& n )
 {
     CGAL_assertion( !CGAL::is_empty_range( first, last));
+    if(internal_nef::is_triangle_3(first)) {
+      n = orthogonal_vector(get(vpm,*first),get(vpm,*(++first)),get(vpm,*(++first)));
+      return;
+    }
+
+    typedef typename Kernel_traits<Vector>::Kernel R;
     // Compute facet normals via the Newell-method as described in
     // Filippo Tampieri: Newell's Method for Computing the Plane
     // Equation of a Polygon. Graphics Gems III, David Kirk,
@@ -102,11 +158,11 @@ void normal_vector_newell_3( IC first, IC last, VertexPointMap vpm, Vector& n )
     IC prev = first;
     ++first;
     while( first != last) {
-        internal_nef::newell_single_step_3( get(vpm,*prev), get(vpm,*first), n);
+        internal_nef::newell_single_step_3( get(vpm,*prev), get(vpm,*first), n, typename R::Kernel_tag());
         prev = first;
         ++first;
     }
-    internal_nef::newell_single_step_3( get(vpm,*prev), get(vpm,*start_point), n);
+    internal_nef::newell_single_step_3( get(vpm,*prev), get(vpm,*start_point), n, typename R::Kernel_tag());
     CGAL_NEF_TRACEN("newell normal vector "<<n);
 }
 

From 5311c150f5cf61940cf31df34a443f97a832c670 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Fri, 29 Jan 2021 18:40:01 +0100
Subject: [PATCH 248/317] boost transform iterator cannot use raw lambdas as
 begin/end iterator types must be identicals

---
 .../gfx/Curve_renderer_internals.h                     |  4 ++--
 .../gfx/Curve_renderer_traits.h                        | 10 +++++-----
 2 files changed, 7 insertions(+), 7 deletions(-)

diff --git a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
index 37c15966a21..4ae4f7f0d24 100644
--- a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
+++ b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
@@ -907,9 +907,9 @@ void get_precached_poly(int var, const NT& key, int /* level */, Poly_1& poly)
 
     if(not_cached||not_found) {
         poly = Poly_1(::boost::make_transform_iterator(coeffs->begin(),
-                          [&key1](Poly_1 poly){ return evaluate(poly, key1); }),
+                          std::function<NT(const Poly_1&)>([&key1](const Poly_1& poly){ return evaluate(poly, key1); })),
                       ::boost::make_transform_iterator(coeffs->end(),
-                            [&key1](Poly_1 poly){ return evaluate(poly, key1); }));
+                          std::function<NT(const Poly_1&)>([&key1](const Poly_1& poly){ return evaluate(poly, key1); })));
         if(not_cached)
             return;
     // all available space consumed: drop the least recently used entry
diff --git a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
index 01ecfd0bd6e..41a884f52a1 100644
--- a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
+++ b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
@@ -16,7 +16,6 @@
 
 #include <CGAL/basic.h>
 #include <CGAL/function_objects.h>
-#include <boost/functional.hpp>
 
 /*! \file CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
  * \brief
@@ -107,11 +106,12 @@ struct Transform {
 
     template <class X>
     OutputPoly_2 operator()(const CGAL::Polynomial<X>& p, Op op = Op()) const {
-
-        Transform<typename OutputPoly_2::NT, typename InputPoly_2::NT, Op> tr;
+        typedef typename InputPoly_2::NT NT_in;
+        typedef typename OutputPoly_2::NT NT_out;
+        Transform<NT_out, NT_in, Op> tr;
         return OutputPoly_2(
-            ::boost::make_transform_iterator(p.begin(), [&op, &tr](const auto& v){ return tr(v, op); }),
-            ::boost::make_transform_iterator(p.end(), [&op, &tr](const auto& v){ return tr(v, op); }));
+            ::boost::make_transform_iterator(p.begin(), std::function<NT_out(const NT_in&)>([&op, &tr](const NT_in& v){ return tr(v, op); })),
+            ::boost::make_transform_iterator(p.end(), std::function<NT_out(const NT_in&)>([&op, &tr](const NT_in& v){ return tr(v, op); })));
     }
 
     OutputPoly_2 operator()(

From 87b2c5e2876ff7929cfa049cb3015585858f1734 Mon Sep 17 00:00:00 2001
From: Giles Bathgate <giles.bathgate@gmail.com>
Date: Sat, 30 Jan 2021 11:36:41 +0000
Subject: [PATCH 249/317] Improvements to normal vector newell after review

---
 Nef_3/include/CGAL/normal_vector_newell_3.h | 32 ++++++++++-----------
 1 file changed, 16 insertions(+), 16 deletions(-)

diff --git a/Nef_3/include/CGAL/normal_vector_newell_3.h b/Nef_3/include/CGAL/normal_vector_newell_3.h
index 5e34f350d33..2735532899a 100644
--- a/Nef_3/include/CGAL/normal_vector_newell_3.h
+++ b/Nef_3/include/CGAL/normal_vector_newell_3.h
@@ -38,7 +38,7 @@ void newell_single_step_3( const Handle& p, const Handle& q, Vector& n, const Ho
   const RT& phw = p.hw();
   const RT& qhw = q.hw();
   const RT& nhw = n.hw();
-  const RT& sq = phw * phw * qhw * qhw;
+  const RT& sq = square(phw) * square(qhw);
   const RT& phyqhw = p.hy() * qhw;
   const RT& qhyphw = q.hy() * phw;
   const RT& phxqhw = p.hx() * qhw;
@@ -72,23 +72,23 @@ CGAL_MEDIUM_INLINE
 void newell_single_step_3( const Handle& p, const Handle& q, Vector& n, const Cartesian_tag&)
 {
   typedef typename Kernel_traits<Vector>::Kernel::FT FT;
-  const FT& phy = p.hy();
-  const FT& qhy = q.hy();
-  const FT& phx = p.hx();
-  const FT& qhx = q.hx();
-  const FT& phz = p.hz();
-  const FT& qhz = q.hz();
+  const FT& py = p.y();
+  const FT& qy = q.y();
+  const FT& px = p.x();
+  const FT& qx = q.x();
+  const FT& pz = p.z();
+  const FT& qz = q.z();
 
   n = Vector(
-    n.hx()
-        + ( phy - qhy )
-        * ( phz + qhz ),
-    n.hy()
-        + ( phz - qhz )
-        * ( phx + qhx ),
-    n.hz()
-        + ( phx - qhx )
-        * ( phy + qhy )
+    n.x()
+        + ( py - qy )
+        * ( pz + qz ),
+    n.y()
+        + ( pz - qz )
+        * ( px + qx ),
+    n.z()
+        + ( px - qx )
+        * ( py + qy )
     );
 }
 

From 4271f6e19ce7420ec8bc20e409f86d07929fed97 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 1 Feb 2021 09:21:29 +0100
Subject: [PATCH 250/317] Restore the CMakelist.txt in the Minimal Example
 Using Qt5

---
 .../create_and_use_a_cmakelist.txt                 | 11 ++++++++---
 Surface_mesh/examples/Surface_mesh/CMakeLists.txt  | 14 +++++++++-----
 2 files changed, 17 insertions(+), 8 deletions(-)

diff --git a/Documentation/doc/Documentation/Developer_manual/create_and_use_a_cmakelist.txt b/Documentation/doc/Documentation/Developer_manual/create_and_use_a_cmakelist.txt
index 0fffe791b9b..44baf0d84aa 100644
--- a/Documentation/doc/Documentation/Developer_manual/create_and_use_a_cmakelist.txt
+++ b/Documentation/doc/Documentation/Developer_manual/create_and_use_a_cmakelist.txt
@@ -30,11 +30,16 @@ This section describes a minimal example of a program that uses \cgal and Qt5 fo
 
 \subsection subcmake CMakeLists.txt
 \dontinclude Surface_mesh/CMakeLists.txt
-\skip cmake
-\until if ( CGAL_FOUND )
+\skip cmake_minimum_required
+\until project
+
+\skip #CGAL_Qt5 is needed for the drawing.
+\until endif()
+
 \skip #create the executable of the application
 \until "draw_surface_mesh.cpp"
-\skip if(CGAL_Qt5_FOUND )
+
+\skip if(CGAL_Qt5_FOUND)
 \until target_link_libraries(draw_surface_mesh PUBLIC CGAL::CGAL_Qt5)
 \skip endif
 \until #end of the file
diff --git a/Surface_mesh/examples/Surface_mesh/CMakeLists.txt b/Surface_mesh/examples/Surface_mesh/CMakeLists.txt
index cbad83f22db..351342fb9ec 100644
--- a/Surface_mesh/examples/Surface_mesh/CMakeLists.txt
+++ b/Surface_mesh/examples/Surface_mesh/CMakeLists.txt
@@ -1,6 +1,11 @@
 # Created by the script cgal_create_cmake_script
 # This is the CMake script for compiling a CGAL application.
 
+#/!\ /!\
+#/!\ /!\
+# Used in /CGAL/Documentation/doc/Documentation/Developer_manual/create_and_use_a_cmakelist.txt.
+# Careful when modifying
+
 cmake_minimum_required(VERSION 3.1...3.15)
 project(Surface_mesh_Examples)
 
@@ -35,17 +40,16 @@ create_single_source_cgal_program("sm_iterators.cpp")
 create_single_source_cgal_program("sm_kruskal.cpp")
 create_single_source_cgal_program("sm_memory.cpp")
 create_single_source_cgal_program("sm_properties.cpp")
-
-#create the executable of the application
-
-create_single_source_cgal_program("draw_surface_mesh.cpp")
 create_single_source_cgal_program("sm_draw_small_faces.cpp")
 create_single_source_cgal_program("check_orientation.cpp")
+
+#create the executable of the application
+create_single_source_cgal_program("draw_surface_mesh.cpp")
 if(CGAL_Qt5_FOUND)
 
   #link it with the required CGAL libraries
-
   target_link_libraries(draw_surface_mesh PUBLIC CGAL::CGAL_Qt5)
+
   target_link_libraries(sm_draw_small_faces PUBLIC CGAL::CGAL_Qt5)
 endif()
 

From 0199c5794c3efc1acd73b28fec5df003a7ff4a82 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 1 Feb 2021 09:36:30 +0100
Subject: [PATCH 251/317] remove doc from concept that applies only to current
 models

---
 Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h | 8 --------
 1 file changed, 8 deletions(-)

diff --git a/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h b/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
index 34c54c85e42..de17fd5beb0 100644
--- a/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
+++ b/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
@@ -3848,10 +3848,6 @@ public:
     If `l1` and `l2` are parallel, then the bisector is defined as the line
     which has the same direction as `l1`, and which is at the same distance
     from `l1` and `l2`.
-    If `Kernel::FT` is not a model of `FieldWithSqrt`
-    an approximation of the square root will be used in this function,
-    impacting the exactness of the result even with an (exact) multiprecision
-    number type.
   */
   Kernel::Line_2 operator()(const Kernel::Line_2&l1,
                             const Kernel::Line_2&l2);
@@ -3893,10 +3889,6 @@ public:
     If `h1` and `h2` are parallel, then the bisector is defined as the
     plane which has the same oriented normal vector as `h1`, and which is at
     the same distance from `h1` and `h2`.
-    If `Kernel::FT` is not a model of `FieldWithSqrt`
-    an approximation of the square root will be used in this function,
-    impacting the exactness of the result even with an (exact) multiprecision
-    number type.
   */
   Kernel::Plane_3 operator()(const Kernel::Plane_3&h1,
                              const Kernel::Plane_3&h2);

From d4b6a55a688a3ca79e602378a17496cd9b1dd979 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 1 Feb 2021 09:36:47 +0100
Subject: [PATCH 252/317] remove unused typedefs

---
 Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h  | 1 -
 Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h | 1 -
 2 files changed, 2 deletions(-)

diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h
index 28ec8a3d1ea..05df87c02f1 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_line_2.h
@@ -53,7 +53,6 @@ _test_fct_line_2(const R& )
  std::cout << "Testing functions Line_2" ;
 
  typedef typename  R::RT       RT;
- typedef typename  R::FT       FT;
  typedef typename  R::Point_2  Point_2;
  typedef typename  R::Line_2   Line_2;
 
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h
index a5502ad4c3b..17578d544ce 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_plane_3.h
@@ -53,7 +53,6 @@ _test_fct_plane_3(const R& )
  std::cout << "Testing functions Plane_3" ;
 
  typedef typename  R::RT       RT;
- typedef typename  R::FT       FT;
  typedef typename  R::Point_3  Point_3;
  typedef typename  R::Plane_3  Plane_3;
 

From f218fb8d3a64cb3c34340fe2b7de4467ca8a5e6a Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Mon, 1 Feb 2021 14:46:37 +0100
Subject: [PATCH 253/317] Fix the segfault in the previous commit (WIP: Second
 try)

---
 Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
index da7ce4ff8d7..ad0f1e61fef 100644
--- a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
+++ b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
@@ -167,8 +167,8 @@ public:
   void swap(Triangulation_hierarchy_3 &tr)
   {
     Tr_Base::swap(tr);
-    for(int i=1; i<maxlevel; ++i)
-      std::swap(hierarchy[i], tr.hierarchy[i]);
+    using std::swap;
+    swap(hierarchy_triangulations, tr.hierarchy_triangulations);
   };
 
   void clear();

From ba9f22689176ae24f7414afbf6eb50b5a958d762 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Mon, 1 Feb 2021 14:47:18 +0100
Subject: [PATCH 254/317] Add tests for move constructors

---
 .../include/CGAL/_test_cls_delaunay_3.h           | 15 ++++++++++++++-
 .../include/CGAL/_test_cls_regular_3.h            | 14 ++++++++++++--
 .../include/CGAL/_test_cls_triangulation_3.h      | 15 ++++++++++++++-
 3 files changed, 40 insertions(+), 4 deletions(-)

diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index f7d4579828c..471e3791fd4 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -421,7 +421,20 @@ _test_cls_delaunay_3(const Triangulation &)
   assert(T1.number_of_vertices() == 0);
   assert(T1.is_valid());
 
-
+  // move constructor
+  {
+    Cls T_copy(T0);
+    assert(T_copy.dimension() == 3);
+    assert(T_copy.number_of_vertices() == 4);
+    assert(T_copy.is_valid());
+    Cls T_move_constructed(std::move(T_copy));
+    assert(T_move_constructed.dimension() == 3);
+    assert(T_move_constructed.number_of_vertices() == 4);
+    assert(T_move_constructed.is_valid());
+    assert(T_copy.dimension() == -2);
+    assert(T_copy.number_of_vertices() == -1);
+    assert(T_copy.is_valid());
+  }
 
    // Affectation :
   T1=T0;
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
index fba2db023fd..1da16d061c7 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
@@ -205,6 +205,16 @@ _test_cls_regular_3(const Triangulation &)
             << T.number_of_vertices() << std::endl;
   assert(T.is_valid());
   assert(T.dimension()==3);
+
+  // move constructor
+  {
+    Triangulation T_copy(T);
+    assert(T_copy == T);
+    assert(T_copy == T);
+    Triangulation T_move_constructed(std::move(T_copy));
+    assert(T_move_constructed == T);
+    assert(T_copy.dimension() == -2);
+    assert(T_copy.number_of_vertices() == -1);
+    assert(T_copy.is_valid());
+  }
 }
-
-
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
index ded18a9175f..ca8b84ac193 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
@@ -286,7 +286,20 @@ _test_cls_triangulation_3(const Triangulation &)
   assert(T1.number_of_vertices() == 0);
   assert(T1.is_valid());
 
-
+  // move constructor
+  {
+    Cls T_copy(T0);
+    assert(T_copy.dimension() == 3);
+    assert(T_copy.number_of_vertices() == 4);
+    assert(T_copy.is_valid());
+    Cls T_move_constructed(std::move(T_copy));
+    assert(T_move_constructed.dimension() == 3);
+    assert(T_move_constructed.number_of_vertices() == 4);
+    assert(T_move_constructed.is_valid());
+    assert(T_copy.dimension() == -2);
+    assert(T_copy.number_of_vertices() == -1);
+    assert(T_copy.is_valid());
+  }
 
    // Assignment
   T1=T0;

From 1a693828e14056f55658ceb04967cb90a9c3ab18 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 1 Feb 2021 16:01:11 +0100
Subject: [PATCH 255/317] Clean-up boost-program_options usage

---
 .../examples/Jet_fitting_3/CMakeLists.txt     | 22 +++++++--------
 Ridges_3/examples/Ridges_3/CMakeLists.txt     | 27 ++++++++++---------
 .../Surface_mesh_shortest_path/CMakeLists.txt | 17 +++++-------
 3 files changed, 29 insertions(+), 37 deletions(-)

diff --git a/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt b/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
index fce1694719b..afc0c1a9c4d 100644
--- a/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
+++ b/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
@@ -12,22 +12,18 @@ include(CGAL_Eigen3_support)
 if(TARGET CGAL::Eigen3_support)
   # Link with Boost.ProgramOptions (optional)
   find_package(Boost QUIET COMPONENTS program_options)
-  if(Boost_PROGRAM_OPTIONS_FOUND)
-    if(TARGET Boost::program_options)
-      set(Boost_PROGRAM_OPTIONS_LIBRARY Boost::program_options)
-    endif()
-    if(CGAL_AUTO_LINK_ENABLED)
-      message(STATUS "Boost.ProgramOptions library: found")
-    else()
-      message(
-        STATUS "Boost.ProgramOptions library: ${Boost_PROGRAM_OPTIONS_LIBRARY}")
-    endif()
-    add_definitions("-DCGAL_USE_BOOST_PROGRAM_OPTIONS")
-    list(APPEND CGAL_3RD_PARTY_LIBRARIES ${Boost_PROGRAM_OPTIONS_LIBRARY})
-  endif()
 
   create_single_source_cgal_program("Mesh_estimation.cpp")
   target_link_libraries(Mesh_estimation PUBLIC CGAL::Eigen3_support)
+  if(Boost_PROGRAM_OPTIONS_FOUND)
+    target_compile_definitions(Mesh_estimation PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
+    if(TARGET Boost::filesystem)
+      target_link_libraries(Mesh_estimation PRIVATE Boost::program_options)
+    else()
+      target_link_libraries(Mesh_estimation PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
+    endif()
+  endif()
+
   create_single_source_cgal_program("Single_estimation.cpp")
   target_link_libraries(Single_estimation PUBLIC CGAL::Eigen3_support)
 
diff --git a/Ridges_3/examples/Ridges_3/CMakeLists.txt b/Ridges_3/examples/Ridges_3/CMakeLists.txt
index b82b65141c5..914ad661e7f 100644
--- a/Ridges_3/examples/Ridges_3/CMakeLists.txt
+++ b/Ridges_3/examples/Ridges_3/CMakeLists.txt
@@ -11,19 +11,6 @@ if(TARGET CGAL::Eigen3_support)
 
   # Link with Boost.ProgramOptions (optional)
   find_package(Boost QUIET COMPONENTS program_options)
-  if(TARGET Boost::program_options)
-    set(Boost_PROGRAM_OPTIONS_LIBRARY Boost::program_options)
-  endif()
-  if(Boost_PROGRAM_OPTIONS_FOUND)
-    if(CGAL_AUTO_LINK_ENABLED)
-      message(STATUS "Boost.ProgramOptions library: found")
-    else()
-      message(
-        STATUS "Boost.ProgramOptions library: ${Boost_PROGRAM_OPTIONS_LIBRARY}")
-    endif()
-    add_definitions("-DCGAL_USE_BOOST_PROGRAM_OPTIONS")
-    list(APPEND CGAL_3RD_PARTY_LIBRARIES ${Boost_PROGRAM_OPTIONS_LIBRARY})
-  endif()
 
   create_single_source_cgal_program(Compute_Ridges_Umbilics.cpp)
   target_link_libraries(Compute_Ridges_Umbilics PUBLIC CGAL::Eigen3_support)
@@ -32,6 +19,20 @@ if(TARGET CGAL::Eigen3_support)
   create_single_source_cgal_program(Ridges_Umbilics_LCC.cpp)
   target_link_libraries(Ridges_Umbilics_LCC PUBLIC CGAL::Eigen3_support)
 
+  if(Boost_PROGRAM_OPTIONS_FOUND)
+    target_compile_definitions(Compute_Ridges_Umbilics PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
+    target_compile_definitions(Ridges_Umbilics_SM PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
+    target_compile_definitions(Ridges_Umbilics_LCC PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
+    if(TARGET Boost::filesystem)
+      target_link_libraries(Compute_Ridges_Umbilics PRIVATE Boost::program_options)
+      target_link_libraries(Ridges_Umbilics_SM PRIVATE Boost::program_options)
+      target_link_libraries(Ridges_Umbilics_LCC PRIVATE Boost::program_options)
+    else()
+      target_link_libraries(Compute_Ridges_Umbilics PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
+      target_link_libraries(Ridges_Umbilics_SM PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
+      target_link_libraries(Ridges_Umbilics_LCC PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
+    endif()
+  endif()
 else()
 
   message(
diff --git a/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt b/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt
index fb93da6bdfe..05cfb06b98c 100644
--- a/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt
+++ b/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt
@@ -20,19 +20,14 @@ create_single_source_cgal_program("Surface_mesh_shortest_path_traits_test.cpp")
 # Link with Boost.ProgramOptions (optional)
 find_package(Boost QUIET COMPONENTS program_options)
 if(Boost_PROGRAM_OPTIONS_FOUND)
-  if(TARGET Boost::program_options)
-    set(Boost_PROGRAM_OPTIONS_LIBRARY Boost::program_options)
-  endif()
-  if(CGAL_AUTO_LINK_ENABLED)
-    message(STATUS "Boost.ProgramOptions library: found")
-  else()
-    message(
-      STATUS "Boost.ProgramOptions library: ${Boost_PROGRAM_OPTIONS_LIBRARY}")
-  endif()
-  add_definitions("-DCGAL_USE_BOOST_PROGRAM_OPTIONS")
-  list(APPEND CGAL_3RD_PARTY_LIBRARIES ${Boost_PROGRAM_OPTIONS_LIBRARY})
   if(CGAL_Core_FOUND OR LEDA_FOUND)
     create_single_source_cgal_program("TestMesh.cpp")
+    target_compile_definitions(TestMesh PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
+    if(TARGET Boost::filesystem)
+      target_link_libraries(TestMesh PRIVATE Boost::program_options)
+    else()
+      target_link_libraries(TestMesh PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
+    endif()
   else()
     message(
       STATUS

From 0e39a42f86f38086a29c0979991d44844049de7c Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 1 Feb 2021 16:27:41 +0100
Subject: [PATCH 256/317] Fix shader

---
 Polyhedron/demo/Polyhedron/resources/shader_with_texture.vert | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polyhedron/demo/Polyhedron/resources/shader_with_texture.vert b/Polyhedron/demo/Polyhedron/resources/shader_with_texture.vert
index 03e6cd6b3c8..cdcc60f82bd 100644
--- a/Polyhedron/demo/Polyhedron/resources/shader_with_texture.vert
+++ b/Polyhedron/demo/Polyhedron/resources/shader_with_texture.vert
@@ -25,7 +25,7 @@ void main(void)
    norm_matrix_3[0] = norm_matrix[0].xyz;
    norm_matrix_3[1] = norm_matrix[1].xyz;
    norm_matrix_3[2] = norm_matrix[2].xyz;
-   fN = norm_matrix_3* normals;
+   vec3 N = norm_matrix_3* normals;
    vec3 L = light_pos.xyz - P.xyz;
    N = normalize(N);
    L = normalize(L);

From 0e0c536c025dcd91977c2ee0cb64a1d4fdc0361c Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Mon, 1 Feb 2021 20:42:37 +0100
Subject: [PATCH 257/317] Do not test is_valid(): a moved-from triangulation is
 not valid

A moved-from triangulation do not have the infinite vertex, and it is
of dimension -2. That is a valid TDS, but not a valid CGAL
triangulation.
---
 .../test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h   | 3 +--
 .../test/Triangulation_3/include/CGAL/_test_cls_regular_3.h    | 3 +--
 .../Triangulation_3/include/CGAL/_test_cls_triangulation_3.h   | 3 +--
 3 files changed, 3 insertions(+), 6 deletions(-)

diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index 471e3791fd4..9f9bea50e27 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -432,8 +432,7 @@ _test_cls_delaunay_3(const Triangulation &)
     assert(T_move_constructed.number_of_vertices() == 4);
     assert(T_move_constructed.is_valid());
     assert(T_copy.dimension() == -2);
-    assert(T_copy.number_of_vertices() == -1);
-    assert(T_copy.is_valid());
+    assert(T_copy.number_of_vertices() + 1 == 0);
   }
 
    // Affectation :
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
index 1da16d061c7..f7f195ee29d 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
@@ -214,7 +214,6 @@ _test_cls_regular_3(const Triangulation &)
     Triangulation T_move_constructed(std::move(T_copy));
     assert(T_move_constructed == T);
     assert(T_copy.dimension() == -2);
-    assert(T_copy.number_of_vertices() == -1);
-    assert(T_copy.is_valid());
+    assert(T_copy.number_of_vertices() + 1 == 0);
   }
 }
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
index ca8b84ac193..1737aff8a4a 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
@@ -297,8 +297,7 @@ _test_cls_triangulation_3(const Triangulation &)
     assert(T_move_constructed.number_of_vertices() == 4);
     assert(T_move_constructed.is_valid());
     assert(T_copy.dimension() == -2);
-    assert(T_copy.number_of_vertices() == -1);
-    assert(T_copy.is_valid());
+    assert(T_copy.number_of_vertices() + 1 == 0);
   }
 
    // Assignment

From 3b0cea9a47a81d8d1dc9637fa350a0426756c34f Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Mon, 1 Feb 2021 20:43:42 +0100
Subject: [PATCH 258/317] Check that clear() can be called on a moved-from
 triangulation

---
 .../test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h | 5 +++++
 .../test/Triangulation_3/include/CGAL/_test_cls_regular_3.h  | 5 +++++
 .../Triangulation_3/include/CGAL/_test_cls_triangulation_3.h | 5 +++++
 3 files changed, 15 insertions(+)

diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index 9f9bea50e27..db27d607d10 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -433,6 +433,11 @@ _test_cls_delaunay_3(const Triangulation &)
     assert(T_move_constructed.is_valid());
     assert(T_copy.dimension() == -2);
     assert(T_copy.number_of_vertices() + 1 == 0);
+
+    Cls T_copy2(T0);
+    Cls T_move_constructed2(std::move(T_copy2));
+    T_copy2.clear();
+    assert(T_copy2 == Cls());
   }
 
    // Affectation :
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
index f7f195ee29d..040e243e673 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
@@ -215,5 +215,10 @@ _test_cls_regular_3(const Triangulation &)
     assert(T_move_constructed == T);
     assert(T_copy.dimension() == -2);
     assert(T_copy.number_of_vertices() + 1 == 0);
+
+    Cls T_copy2(T);
+    Cls T_move_constructed2(std::move(T_copy2));
+    T_copy2.clear();
+    assert(T_copy2 == Cls());
   }
 }
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
index 1737aff8a4a..d24115cc7bc 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
@@ -298,6 +298,11 @@ _test_cls_triangulation_3(const Triangulation &)
     assert(T_move_constructed.is_valid());
     assert(T_copy.dimension() == -2);
     assert(T_copy.number_of_vertices() + 1 == 0);
+
+    Cls T_copy2(T0);
+    Cls T_move_constructed2(std::move(T_copy2));
+    T_copy2.clear();
+    assert(T_copy2 == Cls());
   }
 
    // Assignment

From fe99ad3a2fd310f50163522c2fb97e9708c9322f Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Mon, 1 Feb 2021 21:06:47 +0100
Subject: [PATCH 259/317] Check that a moved-from triangulation can be assigned

---
 .../test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h | 5 +++++
 .../test/Triangulation_3/include/CGAL/_test_cls_regular_3.h  | 5 +++++
 .../Triangulation_3/include/CGAL/_test_cls_triangulation_3.h | 5 +++++
 3 files changed, 15 insertions(+)

diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index db27d607d10..0e5ded48030 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -438,6 +438,11 @@ _test_cls_delaunay_3(const Triangulation &)
     Cls T_move_constructed2(std::move(T_copy2));
     T_copy2.clear();
     assert(T_copy2 == Cls());
+
+    Cls T_copy3(T0);
+    Cls T_move_constructed3(std::move(T_copy3));
+    T_copy3 = T0;
+    assert(T_copy3 == T0);
   }
 
    // Affectation :
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
index 040e243e673..2100ec9d03b 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
@@ -220,5 +220,10 @@ _test_cls_regular_3(const Triangulation &)
     Cls T_move_constructed2(std::move(T_copy2));
     T_copy2.clear();
     assert(T_copy2 == Cls());
+
+    Cls T_copy3(T);
+    Cls T_move_constructed3(std::move(T_copy3));
+    T_copy3 = T;
+    assert(T_copy3 == T);
   }
 }
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
index d24115cc7bc..fcda1f921b0 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
@@ -303,6 +303,11 @@ _test_cls_triangulation_3(const Triangulation &)
     Cls T_move_constructed2(std::move(T_copy2));
     T_copy2.clear();
     assert(T_copy2 == Cls());
+
+    Cls T_copy3(T0);
+    Cls T_move_constructed3(std::move(T_copy3));
+    T_copy3 = T0;
+    assert(T_copy3 == T0);
   }
 
    // Assignment

From de8bf2fd87ed41346cc468c8204c734e005f2d44 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Mon, 1 Feb 2021 23:17:21 +0100
Subject: [PATCH 260/317] Fix
 Triangulation_hierarchy_3::operator=(Triangulation_hierarchy_3&&)

---
 Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
index ad0f1e61fef..e55b8eab5b3 100644
--- a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
+++ b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
@@ -157,8 +157,7 @@ public:
     noexcept( noexcept(Triangulation_hierarchy_3(std::move(other))) )
   {
     static_cast<Tr_Base&>(*this) = std::move(other);
-    hierarchy_triangulations = std::move(hierarchy_triangulations);
-    init_hierarchy();
+    hierarchy_triangulations = std::move(other.hierarchy_triangulations);
     return *this;
   }
 

From f14ab371ae320732c1aad9b02436767fb4f4987a Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Mon, 1 Feb 2021 23:17:46 +0100
Subject: [PATCH 261/317] Test move-assignments

---
 .../include/CGAL/_test_cls_delaunay_3.h              | 12 ++++++++++++
 .../include/CGAL/_test_cls_regular_3.h               | 11 +++++++++++
 .../include/CGAL/_test_cls_triangulation_3.h         | 12 ++++++++++++
 3 files changed, 35 insertions(+)

diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index 0e5ded48030..1dfd828dd04 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -444,6 +444,18 @@ _test_cls_delaunay_3(const Triangulation &)
     T_copy3 = T0;
     assert(T_copy3 == T0);
   }
+  // move-assignment
+  {
+    Cls T_copy4(T0);
+    Cls T_move_assigned;
+    T_move_assigned = std::move(T_copy4);
+    assert(T_copy4.dimension() == -2);
+    assert(T_copy4.number_of_vertices() + 1 == 0);
+    assert(T_move_assigned.dimension() == 3);
+    assert(T_move_assigned.number_of_vertices() == 4);
+    assert(T_move_assigned.is_valid());
+    assert(T_move_assigned == T0);
+  }
 
    // Affectation :
   T1=T0;
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
index 2100ec9d03b..43d397d14fe 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
@@ -226,4 +226,15 @@ _test_cls_regular_3(const Triangulation &)
     T_copy3 = T;
     assert(T_copy3 == T);
   }
+  // move-assignment
+  {
+    Cls T_copy4(T);
+    Cls T_move_assigned;
+    T_move_assigned = std::move(T_copy4);
+    assert(T_copy4.dimension() == -2);
+    assert(T_copy4.number_of_vertices() + 1 == 0);
+    assert(T_move_assigned.dimension() == 3);
+    assert(T_move_assigned.is_valid());
+    assert(T_move_assigned == T);
+  }
 }
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
index fcda1f921b0..c903a39ed16 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
@@ -309,6 +309,18 @@ _test_cls_triangulation_3(const Triangulation &)
     T_copy3 = T0;
     assert(T_copy3 == T0);
   }
+  // move-assignment
+  {
+    Cls T_copy4(T0);
+    Cls T_move_assigned;
+    T_move_assigned = std::move(T_copy4);
+    assert(T_copy4.dimension() == -2);
+    assert(T_copy4.number_of_vertices() + 1 == 0);
+    assert(T_move_assigned.dimension() == 3);
+    assert(T_move_assigned.number_of_vertices() == 4);
+    assert(T_move_assigned.is_valid());
+    assert(T_move_assigned == T0);
+  }
 
    // Assignment
   T1=T0;

From e87432f257ba49c5591e6820c42b9738324f235c Mon Sep 17 00:00:00 2001
From: Giles Bathgate <gilesbathgate@gmail.com>
Date: Tue, 2 Feb 2021 08:14:32 +0000
Subject: [PATCH 262/317] Use std:next for is_triangle_3 in normal vector
 newell

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 Nef_3/include/CGAL/normal_vector_newell_3.h | 4 +---
 1 file changed, 1 insertion(+), 3 deletions(-)

diff --git a/Nef_3/include/CGAL/normal_vector_newell_3.h b/Nef_3/include/CGAL/normal_vector_newell_3.h
index 2735532899a..95810d73e7e 100644
--- a/Nef_3/include/CGAL/normal_vector_newell_3.h
+++ b/Nef_3/include/CGAL/normal_vector_newell_3.h
@@ -95,9 +95,7 @@ void newell_single_step_3( const Handle& p, const Handle& q, Vector& n, const Ca
 template <class IC>
 bool is_triangle_3( const IC& first )
 {
-    IC last(first);
-    ++last; ++last; ++last;
-    return first==last;
+    return std::next(first,3) == first;
 }
 
 }

From 1f7b43d1417601be5bbf42fabd2f0e81418c8b30 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 2 Feb 2021 09:16:35 +0100
Subject: [PATCH 263/317] Don't build the programs if boost_program_options is
 not found

---
 .../examples/Jet_fitting_3/CMakeLists.txt     |  8 ++++--
 .../Jet_fitting_3/Mesh_estimation.cpp         |  2 --
 Ridges_3/examples/Ridges_3/CMakeLists.txt     | 25 +++++++++----------
 .../Ridges_3/Compute_Ridges_Umbilics.cpp      |  6 +----
 .../examples/Ridges_3/Ridges_Umbilics_LCC.cpp |  2 --
 .../examples/Ridges_3/Ridges_Umbilics_SM.cpp  |  2 --
 .../Surface_mesh_shortest_path/CMakeLists.txt |  1 -
 .../Surface_mesh_shortest_path/TestMesh.cpp   | 12 ---------
 8 files changed, 19 insertions(+), 39 deletions(-)

diff --git a/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt b/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
index afc0c1a9c4d..3e5ffb5b93b 100644
--- a/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
+++ b/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
@@ -14,14 +14,18 @@ if(TARGET CGAL::Eigen3_support)
   find_package(Boost QUIET COMPONENTS program_options)
 
   create_single_source_cgal_program("Mesh_estimation.cpp")
-  target_link_libraries(Mesh_estimation PUBLIC CGAL::Eigen3_support)
   if(Boost_PROGRAM_OPTIONS_FOUND)
-    target_compile_definitions(Mesh_estimation PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
+    target_link_libraries(Mesh_estimation PUBLIC CGAL::Eigen3_support)
     if(TARGET Boost::filesystem)
       target_link_libraries(Mesh_estimation PRIVATE Boost::program_options)
     else()
       target_link_libraries(Mesh_estimation PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
     endif()
+  else()
+    message(
+      STATUS
+        "NOTICE: This program requires Boost Program Options and will not be compiled."
+    )
   endif()
 
   create_single_source_cgal_program("Single_estimation.cpp")
diff --git a/Jet_fitting_3/examples/Jet_fitting_3/Mesh_estimation.cpp b/Jet_fitting_3/examples/Jet_fitting_3/Mesh_estimation.cpp
index 207fee3c121..0945986b171 100644
--- a/Jet_fitting_3/examples/Jet_fitting_3/Mesh_estimation.cpp
+++ b/Jet_fitting_3/examples/Jet_fitting_3/Mesh_estimation.cpp
@@ -6,10 +6,8 @@
 
 #include <CGAL/property_map.h>
 
-#if defined(CGAL_USE_BOOST_PROGRAM_OPTIONS) && ! defined(DONT_USE_BOOST_PROGRAM_OPTIONS)
 #include <boost/program_options.hpp>
 namespace po = boost::program_options;
-#endif
 
 using namespace std;
 
diff --git a/Ridges_3/examples/Ridges_3/CMakeLists.txt b/Ridges_3/examples/Ridges_3/CMakeLists.txt
index 914ad661e7f..0ea9b19d09c 100644
--- a/Ridges_3/examples/Ridges_3/CMakeLists.txt
+++ b/Ridges_3/examples/Ridges_3/CMakeLists.txt
@@ -12,18 +12,14 @@ if(TARGET CGAL::Eigen3_support)
   # Link with Boost.ProgramOptions (optional)
   find_package(Boost QUIET COMPONENTS program_options)
 
-  create_single_source_cgal_program(Compute_Ridges_Umbilics.cpp)
-  target_link_libraries(Compute_Ridges_Umbilics PUBLIC CGAL::Eigen3_support)
-  create_single_source_cgal_program(Ridges_Umbilics_SM.cpp)
-  target_link_libraries(Ridges_Umbilics_SM PUBLIC CGAL::Eigen3_support)
-  create_single_source_cgal_program(Ridges_Umbilics_LCC.cpp)
-  target_link_libraries(Ridges_Umbilics_LCC PUBLIC CGAL::Eigen3_support)
-
   if(Boost_PROGRAM_OPTIONS_FOUND)
-    target_compile_definitions(Compute_Ridges_Umbilics PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
-    target_compile_definitions(Ridges_Umbilics_SM PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
-    target_compile_definitions(Ridges_Umbilics_LCC PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
-    if(TARGET Boost::filesystem)
+    create_single_source_cgal_program(Compute_Ridges_Umbilics.cpp)
+    target_link_libraries(Compute_Ridges_Umbilics PUBLIC CGAL::Eigen3_support)
+    create_single_source_cgal_program(Ridges_Umbilics_SM.cpp)
+    target_link_libraries(Ridges_Umbilics_SM PUBLIC CGAL::Eigen3_support)
+    create_single_source_cgal_program(Ridges_Umbilics_LCC.cpp)
+    target_link_libraries(Ridges_Umbilics_LCC PUBLIC CGAL::Eigen3_support)
+    if(TARGET Boost::program_options)
       target_link_libraries(Compute_Ridges_Umbilics PRIVATE Boost::program_options)
       target_link_libraries(Ridges_Umbilics_SM PRIVATE Boost::program_options)
       target_link_libraries(Ridges_Umbilics_LCC PRIVATE Boost::program_options)
@@ -32,12 +28,15 @@ if(TARGET CGAL::Eigen3_support)
       target_link_libraries(Ridges_Umbilics_SM PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
       target_link_libraries(Ridges_Umbilics_LCC PRIVATE ${Boost_PROGRAM_OPTIONS_LIBRARY})
     endif()
+  else()
+    message(
+      STATUS
+        "NOTICE: This programs require Boost Program Options and will not be compiled."
+    )
   endif()
 else()
-
   message(
     STATUS
       "NOTICE: This program requires Eigen 3.1 (or greater) and will not be compiled."
   )
-
 endif()
diff --git a/Ridges_3/examples/Ridges_3/Compute_Ridges_Umbilics.cpp b/Ridges_3/examples/Ridges_3/Compute_Ridges_Umbilics.cpp
index 47e014a1102..66516d5e092 100644
--- a/Ridges_3/examples/Ridges_3/Compute_Ridges_Umbilics.cpp
+++ b/Ridges_3/examples/Ridges_3/Compute_Ridges_Umbilics.cpp
@@ -9,13 +9,9 @@
 #include <CGAL/Monge_via_jet_fitting.h>
 #include <fstream>
 #include <cassert>
-
-
-
-#if defined(CGAL_USE_BOOST_PROGRAM_OPTIONS) && ! defined(DONT_USE_BOOST_PROGRAM_OPTIONS)
 #include <boost/program_options.hpp>
+
 namespace po = boost::program_options;
-#endif
 
 
 typedef PolyhedralSurf::Traits          Kernel;
diff --git a/Ridges_3/examples/Ridges_3/Ridges_Umbilics_LCC.cpp b/Ridges_3/examples/Ridges_3/Ridges_Umbilics_LCC.cpp
index 247a6badd3d..5ce258d2909 100644
--- a/Ridges_3/examples/Ridges_3/Ridges_Umbilics_LCC.cpp
+++ b/Ridges_3/examples/Ridges_3/Ridges_Umbilics_LCC.cpp
@@ -11,10 +11,8 @@
 #include <cassert>
 #include <CGAL/boost/graph/IO/polygon_mesh_io.h>
 
-#if defined(CGAL_USE_BOOST_PROGRAM_OPTIONS) && ! defined(DONT_USE_BOOST_PROGRAM_OPTIONS)
 #include <boost/program_options.hpp>
 namespace po = boost::program_options;
-#endif
 
 
 typedef CGAL::Simple_cartesian<double>  Kernel;
diff --git a/Ridges_3/examples/Ridges_3/Ridges_Umbilics_SM.cpp b/Ridges_3/examples/Ridges_3/Ridges_Umbilics_SM.cpp
index 458d1e8ff5a..b73f19cb409 100644
--- a/Ridges_3/examples/Ridges_3/Ridges_Umbilics_SM.cpp
+++ b/Ridges_3/examples/Ridges_3/Ridges_Umbilics_SM.cpp
@@ -8,10 +8,8 @@
 #include <fstream>
 #include <cassert>
 
-#if defined(CGAL_USE_BOOST_PROGRAM_OPTIONS) && ! defined(DONT_USE_BOOST_PROGRAM_OPTIONS)
 #include <boost/program_options.hpp>
 namespace po = boost::program_options;
-#endif
 
 
 typedef CGAL::Simple_cartesian<double> Kernel;
diff --git a/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt b/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt
index 05cfb06b98c..235ec1b7ef9 100644
--- a/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt
+++ b/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/CMakeLists.txt
@@ -22,7 +22,6 @@ find_package(Boost QUIET COMPONENTS program_options)
 if(Boost_PROGRAM_OPTIONS_FOUND)
   if(CGAL_Core_FOUND OR LEDA_FOUND)
     create_single_source_cgal_program("TestMesh.cpp")
-    target_compile_definitions(TestMesh PRIVATE "CGAL_USE_BOOST_PROGRAM_OPTIONS")
     if(TARGET Boost::filesystem)
       target_link_libraries(TestMesh PRIVATE Boost::program_options)
     else()
diff --git a/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/TestMesh.cpp b/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/TestMesh.cpp
index 95613fdbb30..389cc215f11 100644
--- a/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/TestMesh.cpp
+++ b/Surface_mesh_shortest_path/test/Surface_mesh_shortest_path/TestMesh.cpp
@@ -1,8 +1,5 @@
 #include <CGAL/config.h>
 #include <iostream>
-
-#if defined(CGAL_USE_BOOST_PROGRAM_OPTIONS) && ! defined(DONT_USE_BOOST_PROGRAM_OPTIONS)
-
 #include <iomanip>
 #include <fstream>
 #include <utility>
@@ -350,12 +347,3 @@ int main(int argc, char** argv)
 
   return 0;
 }
-
-
-#else
- int main()
- {
-   std::cout << "TestMesh.cpp needs Boost Program Options" << std::endl;
-   return 0;
- }
-#endif

From 99d8d94631d4bf5981e0b500b91065118c276327 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 2 Feb 2021 09:36:38 +0100
Subject: [PATCH 264/317] add missing header

---
 Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h b/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
index cb8ef7ecc47..402bfb98220 100644
--- a/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
+++ b/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
@@ -21,6 +21,7 @@
 
 #include <CGAL/basic.h>
 #include <iostream>
+#include <CGAL/boost/graph/named_params_helper.h>
 
 namespace CGAL {
 

From 5da7e84bab6f45664c98ebf5fda240c3737ba24b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 2 Feb 2021 10:58:31 +0100
Subject: [PATCH 265/317] decltype(auto) -> auto

---
 .../include/CGAL/Rectangular_p_center_traits_2.h          | 3 +--
 STL_Extension/include/CGAL/function_objects.h             | 8 ++++----
 2 files changed, 5 insertions(+), 6 deletions(-)

diff --git a/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h b/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
index 8b2c9e70339..bc93c75bf74 100644
--- a/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
+++ b/Bounding_volumes/include/CGAL/Rectangular_p_center_traits_2.h
@@ -291,8 +291,7 @@ bounding_box_2(ForwardIterator f, ForwardIterator l, const Traits& t)
 } // bounding_box_2(f, l, t)
 template < class ForwardIterator >
 inline
-//typename std::iterator_traits< ForwardIterator >::value_type::R::Iso_rectangle_2
-decltype(auto)
+auto
 bounding_box_2(ForwardIterator f, ForwardIterator l)
 // PRE: f != l.
 {
diff --git a/STL_Extension/include/CGAL/function_objects.h b/STL_Extension/include/CGAL/function_objects.h
index 11bcf352a00..82709ab1265 100644
--- a/STL_Extension/include/CGAL/function_objects.h
+++ b/STL_Extension/include/CGAL/function_objects.h
@@ -358,7 +358,7 @@ public:
   Unary_compose_1(const Op1& x, const Op2& y) : op1(x), op2(y) {}
 
   template <typename argument_type>
-  decltype(auto)
+  auto
   operator()(const argument_type& x) const
   { return op1(op2(x)); }
 };
@@ -381,7 +381,7 @@ public:
   : op1(x), op2(y), op3(z) {}
 
   template <typename argument_type>
-  decltype(auto)
+  auto
   operator()(const argument_type& x) const
   { return op1(op2(x), op3(x)); }
 };
@@ -402,7 +402,7 @@ public:
   Unary_compose_2(const Op1& x, const Op2& y) : op1(x), op2(y) {}
 
   template <typename first_argument_type, typename second_argument_type>
-  decltype(auto)
+  auto
   operator()(const first_argument_type& x,
              const second_argument_type& y) const
   { return op1(op2(x, y)); }
@@ -440,7 +440,7 @@ public:
   }
 
   template <typename first_argument_type, typename second_argument_type>
-  decltype(auto)
+  auto
   operator()(const first_argument_type& x,
              const second_argument_type& y) const
   { return op1(op2(x), op3(y)); }

From 32b31fdc9b0f5066fe65864f1696ffb01cf86e16 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 2 Feb 2021 11:09:46 +0100
Subject: [PATCH 266/317] use one lambda

---
 .../gfx/Curve_renderer_internals.h                         | 7 +++----
 .../gfx/Curve_renderer_traits.h                            | 5 +++--
 2 files changed, 6 insertions(+), 6 deletions(-)

diff --git a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
index 4ae4f7f0d24..47afb1f2f68 100644
--- a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
+++ b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_internals.h
@@ -906,10 +906,9 @@ void get_precached_poly(int var, const NT& key, int /* level */, Poly_1& poly)
 //     }
 
     if(not_cached||not_found) {
-        poly = Poly_1(::boost::make_transform_iterator(coeffs->begin(),
-                          std::function<NT(const Poly_1&)>([&key1](const Poly_1& poly){ return evaluate(poly, key1); })),
-                      ::boost::make_transform_iterator(coeffs->end(),
-                          std::function<NT(const Poly_1&)>([&key1](const Poly_1& poly){ return evaluate(poly, key1); })));
+        auto fn = [&key1](const Poly_1& poly){ return evaluate(poly, key1); };
+        poly = Poly_1(::boost::make_transform_iterator(coeffs->begin(), fn),
+                      ::boost::make_transform_iterator(coeffs->end(), fn));
         if(not_cached)
             return;
     // all available space consumed: drop the least recently used entry
diff --git a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
index 41a884f52a1..56595cd3835 100644
--- a/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
+++ b/Arrangement_on_surface_2/include/CGAL/Curved_kernel_via_analysis_2/gfx/Curve_renderer_traits.h
@@ -109,9 +109,10 @@ struct Transform {
         typedef typename InputPoly_2::NT NT_in;
         typedef typename OutputPoly_2::NT NT_out;
         Transform<NT_out, NT_in, Op> tr;
+        auto fn = [&op, &tr](const NT_in& v){ return tr(v, op); };
         return OutputPoly_2(
-            ::boost::make_transform_iterator(p.begin(), std::function<NT_out(const NT_in&)>([&op, &tr](const NT_in& v){ return tr(v, op); })),
-            ::boost::make_transform_iterator(p.end(), std::function<NT_out(const NT_in&)>([&op, &tr](const NT_in& v){ return tr(v, op); })));
+            ::boost::make_transform_iterator(p.begin(), fn),
+            ::boost::make_transform_iterator(p.end(), fn));
     }
 
     OutputPoly_2 operator()(

From d678d0fc922d0d8e3acec61ef23c4ce5e3984152 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 2 Feb 2021 11:12:16 +0100
Subject: [PATCH 267/317] include right header

---
 Bounding_volumes/include/CGAL/min_quadrilateral_2.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Bounding_volumes/include/CGAL/min_quadrilateral_2.h b/Bounding_volumes/include/CGAL/min_quadrilateral_2.h
index 5072dce39ed..dfa0eb1e30c 100644
--- a/Bounding_volumes/include/CGAL/min_quadrilateral_2.h
+++ b/Bounding_volumes/include/CGAL/min_quadrilateral_2.h
@@ -20,7 +20,7 @@
 #include <CGAL/basic.h>
 #include <CGAL/Optimisation/assertions.h>
 #include <iterator>
-#include <boost/function.hpp>
+#include <functional>
 
 #ifdef CGAL_OPTIMISATION_EXPENSIVE_PRECONDITION_TAG
 #include <CGAL/Polygon_2_algorithms.h>

From 27360a0362aace88986884fc7dd1637509657ddc Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Tue, 2 Feb 2021 13:36:45 +0100
Subject: [PATCH 268/317] remove std::function

---
 Bounding_volumes/include/CGAL/Min_annulus_d.h |  3 +-
 .../include/CGAL/rectangular_3_center_2.h     | 32 +++++++------------
 2 files changed, 14 insertions(+), 21 deletions(-)

diff --git a/Bounding_volumes/include/CGAL/Min_annulus_d.h b/Bounding_volumes/include/CGAL/Min_annulus_d.h
index 0bf6532dbd0..0be72c1b427 100644
--- a/Bounding_volumes/include/CGAL/Min_annulus_d.h
+++ b/Bounding_volumes/include/CGAL/Min_annulus_d.h
@@ -32,9 +32,10 @@
 #include <CGAL/QP_solver/QP_full_exact_pricing.h>
 #include <CGAL/boost/iterator/counting_iterator.hpp>
 #include <CGAL/boost/iterator/transform_iterator.hpp>
-#include <boost/functional.hpp>
 #include <CGAL/NT_converter.h>
 
+#include <functional>
+
 // here is how it works. We have d+2 variables:
 // R (big radius), r (small radius), c (center). The problem is
 //
diff --git a/Bounding_volumes/include/CGAL/rectangular_3_center_2.h b/Bounding_volumes/include/CGAL/rectangular_3_center_2.h
index c119e8118de..cd3a1f14bee 100644
--- a/Bounding_volumes/include/CGAL/rectangular_3_center_2.h
+++ b/Bounding_volumes/include/CGAL/rectangular_3_center_2.h
@@ -49,7 +49,6 @@ rectangular_2_center_2(
     P_below_right;
   typedef typename Traits::Construct_point_2_below_left_implicit_point_2
     P_below_left;
-  typedef std::function<FT(const Point&)>              Gamma;
 
   // fetch function objects from traits class
   CVertex       v      = t.construct_vertex_2_object();
@@ -68,9 +67,9 @@ rectangular_2_center_2(
 
   // two cases: top-left & bottom-right or top-right & bottom-left
   Min< FT > minft;
-  Gamma gamma1 =
+  auto gamma1 =
     [&minft, &bb, &dist, &v](const Point& p){ return minft(dist( v(bb, 0), p), dist(v(bb, 2),p));};
-  Gamma gamma2 =
+  auto gamma2 =
     [&minft, &bb, &dist, &v](const Point& p){ return minft(dist( v(bb, 1), p), dist(v(bb, 3),p));};
 
   pair< ForwardIterator, ForwardIterator > cand =
@@ -117,7 +116,6 @@ rectangular_3_center_2_type1(
     P_below_right;
   typedef typename Traits::Construct_point_2_below_left_implicit_point_2
     P_below_left;
-  typedef std::function<FT(const Point&)>                 Gamma;
 
   // fetch function objects from traits class
   Rect          rect   = t.construct_iso_rectangle_2_object();
@@ -151,7 +149,7 @@ rectangular_3_center_2_type1(
     RandomAccessIterator e = l;
     bool b_empty = true;
     Min< FT > minft;
-    Gamma gamma = [&minft, &dist, &v, &r, i](const Point& p)
+    auto gamma = [&minft, &dist, &v, &r, i](const Point& p)
                   { return minft(dist(v(r, i), p), dist(v(r, 2 + i), p)); };
 
     while (e - s > 1) {
@@ -895,7 +893,7 @@ rectangular_3_center_2_type2(
       op.place_y_square(op.place_y_square(Q_r_empty, Q_r, *pos.second, r),
                         r,
                         rad);
-    std::function<bool(const FT&)> le_rad = [&rad](const FT& v){return rad >= v;};
+    auto le_rad = [&rad](const FT& v){return rad >= v;};
     RandomAccessIterator b1 =
       partition(m, l, [&le_rad, &op, q_t](const Point& p){ return le_rad(op.distance()(q_t, p)); });
     RandomAccessIterator b2 =
@@ -924,8 +922,7 @@ rectangular_3_center_2_type2(
     Point q_r = op.place_y_square(q_r_afap, r, op.delta()(*m));
 
     // check for covering
-    std::function<bool(const FT&)>
-      le_delta_m = [&op, m](const FT& v){ return op.delta()(*m) >= v; };
+    auto le_delta_m = [&op, m](const FT& v){ return op.delta()(*m) >= v; };
     RandomAccessIterator b1 =
       partition(m + 1, e, [&le_delta_m, &op, & q_t](const Point& p){ return le_delta_m(op.distance()(q_t, p)); });
     RandomAccessIterator b2 =
@@ -995,8 +992,7 @@ rectangular_3_center_2_type2(
     // partition the range [m+1, e) into ranges
     // [m+1, b1), [b1, b2),   [b2, b3) and [b3, e)
     //     R      G cap q_t  G cap q_r      none
-    std::function<bool(const FT&)>
-      le_delta_m = [&op, m](const FT& v){ return op.delta()(*m) >= v; };
+    auto le_delta_m = [&op, m](const FT& v){ return op.delta()(*m) >= v; };
     RandomAccessIterator b2 =
       partition(m + 1, e,
                 [&le_delta_m, &op, &q_t](const Point& p) { return le_delta_m(op.distance()(q_t, p)); });
@@ -1126,8 +1122,7 @@ CGAL_3CENTER_REPEAT_CHECK:
     // partition the range [s_b+1, e) into ranges
     // [s_b+1, b1), [b1, b2),   [b2, b3) and [b3, e)
     //     R      G cap q_t  G cap q_r      none
-    std::function<bool(const FT&)>
-      le_delta_sb = [&op, s_b](const FT& v){ return op.delta()(*s_b) >= v;} ;
+    auto le_delta_sb = [&op, s_b](const FT& v){ return op.delta()(*s_b) >= v;} ;
 
     b2 = partition(s_b + 1, e,
                    [&le_delta_sb, &op, &q_t](const Point& p)
@@ -1231,8 +1226,7 @@ CGAL_3CENTER_REPEAT_CHECK:
     q_r = op.place_y_square(q_r_afap, r, op.delta()(*next));
 
     // again check for covering
-    std::function<bool(const FT&)>
-      le_delta_next = [&op, next](const FT& v){ return op.delta()(*next) >= v; };
+    auto le_delta_next = [&op, next](const FT& v){ return op.delta()(*next) >= v; };
     b2 = partition(s_b, e,
                    [&op, &le_delta_next, &q_t](const Point& p){ return le_delta_next( op.distance()(q_t,p) ); });
     b1 = partition(s_b, b2,
@@ -1335,8 +1329,7 @@ CGAL_3CENTER_REPEAT_CHECK:
       q_r = op.place_y_square(q_r_afap, r, try_rho);
 
       // check for covering
-      std::function<bool(const FT&)>
-        greater_rho_max = [&try_rho](const FT& v){ return try_rho < v; };
+      auto greater_rho_max = [&try_rho](const FT& v){ return try_rho < v; };
       if ((!Q_t_empty && op.compute_x_distance(q_t, Q_t) > try_rho) ||
           (!Q_r_empty && op.compute_y_distance(q_r, Q_r) > try_rho) ||
           e != find_if(
@@ -1381,10 +1374,9 @@ CGAL_3CENTER_REPEAT_CHECK:
   CGAL_optimisation_assertion(rho_min >= 0);
   FT rad_2 = q_t_q_r_cover_at_rho_min;
   if (s_at_rho_min != e_at_rho_min) {
-    std::function<FT(const Point&)>
-      mydist = [&q_t_at_rho_min, &q_r_at_rho_min, &op](const Point& p)
-               { return Min<FT>()( op.distance()(q_t_at_rho_min, p),
-                                   op.distance()(q_r_at_rho_min, p)); };
+    auto mydist = [&q_t_at_rho_min, &q_r_at_rho_min, &op](const Point& p)
+                  { return Min<FT>()( op.distance()(q_t_at_rho_min, p),
+                                      op.distance()(q_r_at_rho_min, p)); };
     rad_2 =
       max BOOST_PREVENT_MACRO_SUBSTITUTION (
         rad_2,

From 98ffbba6485bee3f92a0b7f6197534adf0b45b7b Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 2 Feb 2021 14:55:50 +0100
Subject: [PATCH 269/317] Fix warning

---
 BGL/test/BGL/test_bgl_read_write.cpp          | 42 +++++++++----------
 .../pmp_compute_normals_test.cpp              |  4 +-
 .../test_is_polygon_soup_a_polygon_mesh.cpp   |  2 +-
 3 files changed, 24 insertions(+), 24 deletions(-)

diff --git a/BGL/test/BGL/test_bgl_read_write.cpp b/BGL/test/BGL/test_bgl_read_write.cpp
index de6fd4918bb..5be2d9e33e9 100644
--- a/BGL/test/BGL/test_bgl_read_write.cpp
+++ b/BGL/test/BGL/test_bgl_read_write.cpp
@@ -171,10 +171,10 @@ void test_bgl_OFF(const char* filename)
     assert(ok);
     assert(num_vertices(fg) == 8 && num_faces(fg) == 4);
 
-    for(const auto v : vertices(fg))
+    for(auto v : vertices(fg))
       assert(get(vcm, v) != CGAL::Color());
 
-    for(const auto f : faces(fg))
+    for(auto f : faces(fg))
       assert(get(fcm, f) != CGAL::Color());
 
     // write with OFF
@@ -192,10 +192,10 @@ void test_bgl_OFF(const char* filename)
       assert(ok);
       assert(are_equal_meshes(fg, fg2));
 
-      for(const auto v : vertices(fg2))
+      for(auto v : vertices(fg2))
         assert(get(vcm2, v) != CGAL::Color());
 
-      for(const auto f : faces(fg2))
+      for(auto f : faces(fg2))
         assert(get(fcm2, f) != CGAL::Color());
     }
 
@@ -211,7 +211,7 @@ void test_bgl_OFF(const char* filename)
       assert(ok);
       assert(are_equal_meshes(fg, fg2));
 
-      for(const auto v : vertices(fg2))
+      for(auto v : vertices(fg2))
         assert(get(vcm2, v) != CGAL::Color());
     }
   }
@@ -224,7 +224,7 @@ void test_bgl_OFF(const char* filename)
     ok = CGAL::read_OFF("data/mesh_with_normals.off", fg, CGAL::parameters::vertex_normal_map(vnm));
     assert(ok);
 
-    for(const auto v : vertices(fg))
+    for(auto v : vertices(fg))
       assert(get(vnm, v) != CGAL::NULL_VECTOR);
 
     // write with OFF
@@ -240,7 +240,7 @@ void test_bgl_OFF(const char* filename)
       assert(ok);
       assert(are_equal_meshes(fg, fg2));
 
-      for(const auto v : vertices(fg2))
+      for(auto v : vertices(fg2))
         assert(get(vnm2, v) != CGAL::NULL_VECTOR);
     }
 
@@ -256,7 +256,7 @@ void test_bgl_OFF(const char* filename)
       assert(ok);
       assert(are_equal_meshes(fg, fg2));
 
-      for(const auto v : vertices(fg2))
+      for(auto v : vertices(fg2))
         assert(get(vnm2, v) != CGAL::NULL_VECTOR);
     }
   }
@@ -278,13 +278,13 @@ void test_bgl_OFF(const char* filename)
     assert(ok);
     assert(num_vertices(fg) != 0 && num_faces(fg) != 0);
 
-    for(const auto v : vertices(fg))
+    for(auto v : vertices(fg))
     {
       assert(get(vnm2, v) != CGAL::NULL_VECTOR);
       assert(get(vcm2, v) != CGAL::Color());
     }
 
-    for(const auto f : faces(fg))
+    for(auto f : faces(fg))
       assert(get(fcm2, f) != CGAL::Color());
     fg.clear();
     is.close();
@@ -301,7 +301,7 @@ void test_bgl_OFF(const char* filename)
     assert(ok);
     assert(num_vertices(fg) != 0 && num_faces(fg) != 0);
 
-    for(const auto v : vertices(fg))
+    for(auto v : vertices(fg))
     {
       assert(get(vnm, v) != CGAL::NULL_VECTOR);
       assert(get(vcm, v) != CGAL::Color());
@@ -328,13 +328,13 @@ void test_bgl_OFF(const char* filename)
       assert(ok);
       assert(are_equal_meshes(fg, fg2));
 
-      for(const auto v : vertices(fg2))
+      for(auto v : vertices(fg2))
       {
         assert(get(vnm2, v) != CGAL::NULL_VECTOR);
         assert(get(vcm2, v) != CGAL::Color());
       }
 
-      for(const auto f : faces(fg2))
+      for(auto f : faces(fg2))
         assert(get(fcm2, f) != CGAL::Color());
     }
 
@@ -359,13 +359,13 @@ void test_bgl_OFF(const char* filename)
       assert(ok);
       assert(are_equal_meshes(fg, fg2));
 
-      for(const auto v : vertices(fg2))
+      for(auto v : vertices(fg2))
       {
         assert(get(vnm2, v) != CGAL::NULL_VECTOR);
         assert(get(vcm2, v) != CGAL::Color());
       }
 
-      for(const auto f : faces(fg2))
+      for(auto f : faces(fg2))
         assert(get(fcm2, f) != CGAL::Color());
     }
   }
@@ -526,12 +526,12 @@ void test_bgl_PLY(const std::string filename,
   assert(ok);
   assert(num_vertices(fg) == 4 && num_faces(fg) == 4);
 
-  for(const auto v : vertices(fg))
+  for(auto v : vertices(fg))
   {
     assert(get(vcm, v) != CGAL::Color());
   }
 
-  for(const auto f : faces(fg))
+  for(auto f : faces(fg))
     assert(get(fcm, f) != CGAL::Color());
 
   // write with PLY
@@ -561,10 +561,10 @@ void test_bgl_PLY(const std::string filename,
     assert(are_equal_meshes(fg, fg2));
 
     // @tmp
-//    for(const auto v : vertices(fg2))
+//    for(auto v : vertices(fg2))
 //      assert(get(vcm2, v) != CGAL::Color());
 
-//    for(const auto f : faces(fg2))
+//    for(auto f : faces(fg2))
 //      assert(get(fcm2, f) != CGAL::Color());
   }
 
@@ -586,10 +586,10 @@ void test_bgl_PLY(const std::string filename,
     assert(are_equal_meshes(fg, fg2));
 
     // @tmp
-//    for(const auto v : vertices(fg2))
+//    for(auto v : vertices(fg2))
 //      assert(get(vcm2, v) != CGAL::Color());
 
-//    for(const auto f : faces(fg2))
+//    for(auto f : faces(fg2))
 //      assert(get(fcm2, f) != CGAL::Color());
   }
 
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/pmp_compute_normals_test.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/pmp_compute_normals_test.cpp
index a243df48db2..311b483fd38 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/pmp_compute_normals_test.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/pmp_compute_normals_test.cpp
@@ -93,7 +93,7 @@ void test(const Mesh& mesh,
 #endif
 
   // Check sanity of output
-  for(const face_descriptor f : faces(mesh))
+  for(face_descriptor f : faces(mesh))
   {
     // tests on non triangular meshes are @todo
     if(CGAL::is_triangle(halfedge(f, mesh), mesh))
@@ -105,7 +105,7 @@ void test(const Mesh& mesh,
     }
   }
 
-  for(const vertex_descriptor v : vertices(mesh))
+  for(vertex_descriptor v : vertices(mesh))
   {
     if(get(vnormals, v) == CGAL::NULL_VECTOR)
     {
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_is_polygon_soup_a_polygon_mesh.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_is_polygon_soup_a_polygon_mesh.cpp
index 7fca90f43ec..c6e889e008f 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_is_polygon_soup_a_polygon_mesh.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_is_polygon_soup_a_polygon_mesh.cpp
@@ -75,7 +75,7 @@ void test_polygon_soup(std::string fname, bool expected)
     assert(!CGAL::is_empty(p) && CGAL::is_valid_polygon_mesh(p));
 
     std::set<Point> ppts;
-    for(const vertex_descriptor v : vertices(p))
+    for( vertex_descriptor v : vertices(p))
       ppts.insert(get(vpm, v));
 
     assert(ppts.size() == num_vertices(p));

From e6fe1c203191fe76c10acb6fda8dd881d880d1e9 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Tue, 2 Feb 2021 20:52:49 +0100
Subject: [PATCH 270/317] Add the testcase from issue #5396

---
 .../include/CGAL/_test_cls_delaunay_3.h              | 12 ++++++++++++
 1 file changed, 12 insertions(+)

diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index 1dfd828dd04..d8cf1d38e7e 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -1228,6 +1228,18 @@ _test_cls_delaunay_3(const Triangulation &)
                 _test_remove_cluster<Triangulation>();
   }
 
+  // Test from issue https://github.com/CGAL/cgal/issues/5396
+  {
+    auto Triangulate = []() -> Triangulation
+    {
+      Triangulation tri;
+      for (int i=0; i<10; i++)
+        tri.insert(Point(i+1, i+2, i+3));
+
+      return std::move(tri); // the move prevents the NRVO
+    };
+    Triangulation t = Triangulate();
+  }
 }
 
 #endif // CGAL_TEST_CLS_DELAUNAY_C

From 7f537a19cb2f3b05d6cdf7696e0b2ac1b22e3442 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 3 Feb 2021 08:59:54 +0100
Subject: [PATCH 271/317] add missing headers

---
 Stream_support/include/CGAL/IO/OBJ.h                 | 1 +
 Stream_support/include/CGAL/IO/OI/Inventor_ostream.h | 1 +
 2 files changed, 2 insertions(+)

diff --git a/Stream_support/include/CGAL/IO/OBJ.h b/Stream_support/include/CGAL/IO/OBJ.h
index 8e472d0657a..701233fb3ac 100644
--- a/Stream_support/include/CGAL/IO/OBJ.h
+++ b/Stream_support/include/CGAL/IO/OBJ.h
@@ -23,6 +23,7 @@
 
 #include <boost/range/value_type.hpp>
 #include <boost/utility/enable_if.hpp>
+#include <CGAL/boost/graph/Named_function_parameters.h>
 
 #include <fstream>
 #include <iostream>
diff --git a/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h b/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
index 20f4f5d25c0..4d0d1e41e65 100644
--- a/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
+++ b/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
@@ -21,6 +21,7 @@
 
 #include <CGAL/basic.h>
 #include <iostream>
+#include <CGAL/boost/graph/named_params_helper.h>
 
 // OpenInventor and VRML 1.0 are quite similar formats, so
 // output operators could be shared if they use the following

From 38275753ca6a537e3a69a05588e647629a051e84 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Wed, 3 Feb 2021 10:03:42 +0000
Subject: [PATCH 272/317] Remove typedef .., argument_type

---
 Matrix_search/include/CGAL/Transform_iterator.h | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/Matrix_search/include/CGAL/Transform_iterator.h b/Matrix_search/include/CGAL/Transform_iterator.h
index 4797271123d..f60718c64c0 100644
--- a/Matrix_search/include/CGAL/Transform_iterator.h
+++ b/Matrix_search/include/CGAL/Transform_iterator.h
@@ -34,7 +34,7 @@ struct Transform_iterator {
   typedef std::_Unchecked_iterator_tag _Checked_iterator_category;
   typedef std::output_iterator_tag             iterator_category;
   typedef Transform_iterator< OutputIterator, Operation >   self;
-  typedef typename Operation::argument_type        argument_type;
+//  typedef typename Operation::argument_type        argument_type;
 
   typedef typename std::iterator_traits<OutputIterator>::difference_type difference_type;
   typedef typename std::iterator_traits<OutputIterator>::value_type      value_type;
@@ -54,6 +54,7 @@ struct Transform_iterator {
 
   self& operator++( int) { return *this; }
 
+  template <typename argument_type>
   self& operator=( const argument_type& a) {
     *(o_++) = op_( a);
     return *this;

From 4b472db95ea8301c2067b7761dbe7fac163226f4 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Wed, 3 Feb 2021 10:57:36 +0000
Subject: [PATCH 273/317] cleanup

---
 Matrix_search/include/CGAL/Transform_iterator.h | 1 -
 1 file changed, 1 deletion(-)

diff --git a/Matrix_search/include/CGAL/Transform_iterator.h b/Matrix_search/include/CGAL/Transform_iterator.h
index f60718c64c0..c3ab6e8c437 100644
--- a/Matrix_search/include/CGAL/Transform_iterator.h
+++ b/Matrix_search/include/CGAL/Transform_iterator.h
@@ -34,7 +34,6 @@ struct Transform_iterator {
   typedef std::_Unchecked_iterator_tag _Checked_iterator_category;
   typedef std::output_iterator_tag             iterator_category;
   typedef Transform_iterator< OutputIterator, Operation >   self;
-//  typedef typename Operation::argument_type        argument_type;
 
   typedef typename std::iterator_traits<OutputIterator>::difference_type difference_type;
   typedef typename std::iterator_traits<OutputIterator>::value_type      value_type;

From 22724728e700673f3de690e8d73acc1b931ab2ef Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 3 Feb 2021 12:48:50 +0100
Subject: [PATCH 274/317] do not emit warning as hole filling can fail

---
 .../Hole_filling/Triangulate_hole_polyline.h       | 14 ++++++++++++++
 1 file changed, 14 insertions(+)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
index 2fc28eec9a6..10eae8a9956 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@@ -782,11 +782,13 @@ public:
     std::pair<int, int> range(0, n-1);
     boost::tuple<boost::optional<Edge>, bool, bool> res = construct_3D_triangulation(P, range, tr, edge_exist);
     if(!res.template get<2>()) {
+#ifdef CGAL_HOLE_FILLING_VERBOSE
       #ifndef CGAL_TEST_SUITE
       CGAL_warning_msg(false, "Returning no output. Dimension of 3D Triangulation is below 2!");
       #else
       std::cerr << "W: Returning no output. Dimension of 3D Triangulation is below 2!\n";
       #endif
+#endif
       return Weight::NOT_VALID();
     }
 
@@ -806,11 +808,13 @@ public:
       }
 
       if(W.get(0, n-1) == Weight::NOT_VALID()) {
+#ifdef CGAL_HOLE_FILLING_VERBOSE
         #ifndef CGAL_TEST_SUITE
         CGAL_warning_msg(false, "Returning no output. No possible triangulation is found!");
         #else
         std::cerr << "W: Returning no output. No possible triangulation is found!\n";
         #endif
+#endif
         return Weight::NOT_VALID();
       }
 
@@ -1002,7 +1006,9 @@ private:
         Triangulate_hole_polyline<Kernel, Tracer, WeightCalculator, LookupTable> all_space;
         all_space.triangulate_all(P, Q, WC, std::make_pair(h.first, h.second), W, lambda);
         if(W.get(h.first, h.second) == Weight::NOT_VALID()) {
+#ifdef CGAL_HOLE_FILLING_VERBOSE
           CGAL_warning_msg(false, "Returning no output. Filling hole with incomplete patches is not successful!");
+#endif
           return Weight::NOT_VALID();
         }
       }
@@ -1023,7 +1029,9 @@ private:
           Triangulate_hole_polyline<Kernel, Tracer, WeightCalculator, LookupTable> all_space;
           all_space.triangulate_all(P, Q, WC, std::make_pair(h.first, h.second), W, lambda);
           if(W.get(h.first, h.second) == Weight::NOT_VALID()) {
+#ifdef CGAL_HOLE_FILLING_VERBOSE
             CGAL_warning_msg(false, "Returning no output. Filling hole with incomplete patches is not successful!");
+#endif
             return Weight::NOT_VALID();
           }
         }
@@ -1038,7 +1046,9 @@ private:
       tr.clear();
       boost::tuple<boost::optional<Edge>, bool, bool> res = construct_3D_triangulation(P, h, tr, edge_exist);
       if(!boost::get<0>(res)) {
+#ifdef CGAL_HOLE_FILLING_VERBOSE
         CGAL_warning_msg(false, "Returning no output. Filling hole with incomplete patches is not successful!");
+#endif
         return Weight::NOT_VALID();
       }
       start_edge = *boost::get<0>(res);
@@ -1098,12 +1108,14 @@ private:
       (P, Q, W, lambda, e_start, edge_graph, WC, false);
 
     if(W.get(0, n-1) == Weight::NOT_VALID()) {
+#ifdef CGAL_HOLE_FILLING_VERBOSE
       #ifndef CGAL_TEST_SUITE
       CGAL_warning_msg(false, "Returning no output using Delaunay triangulation.\n Falling back to the general Triangulation framework.");
       #else
       std::cerr << "W: Returning no output using Delaunay triangulation.\n"
                 << "Falling back to the general Triangulation framework.\n";
       #endif
+#endif
       return Weight::NOT_VALID();
     }
 
@@ -1144,11 +1156,13 @@ public:
     triangulate_all(P, Q, WC, std::make_pair(0,n-1), W, lambda);
 
     if(W.get(0,n-1) == Weight::NOT_VALID() || n <= 2) {
+#ifdef CGAL_HOLE_FILLING_VERBOSE
       #ifndef CGAL_TEST_SUITE
       CGAL_warning_msg(false, "Returning no output. No possible triangulation is found!");
       #else
       std::cerr << "W: Returning no output. No possible triangulation is found!\n";
       #endif
+#endif
       return Weight::NOT_VALID();
     }
 

From df50c4cd0a46ca06269c34f61b4944d301a872a9 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 3 Feb 2021 14:30:21 +0100
Subject: [PATCH 275/317] replace WARNING: with NOTE: to avoid confusing the
 testsuite

---
 Stream_support/include/CGAL/IO/OBJ.h | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Stream_support/include/CGAL/IO/OBJ.h b/Stream_support/include/CGAL/IO/OBJ.h
index 701233fb3ac..b51c725e7c1 100644
--- a/Stream_support/include/CGAL/IO/OBJ.h
+++ b/Stream_support/include/CGAL/IO/OBJ.h
@@ -159,9 +159,9 @@ bool read_OBJ(std::istream& is,
   }
 
   if(norm_found && verbose)
-    std::cout<<"WARNING: normals were found in this file, but were discarded."<<std::endl;
+    std::cout<<"NOTE: normals were found in this file, but were discarded."<<std::endl;
   if(tex_found && verbose)
-    std::cout<<"WARNING: textures were found in this file, but were discarded."<<std::endl;
+    std::cout<<"NOTE: textures were found in this file, but were discarded."<<std::endl;
 
   if(points.empty() || polygons.empty())
   {

From 4c9cb654270786444566651b7efe4bd2508f8a5b Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 3 Feb 2021 15:40:58 +0100
Subject: [PATCH 276/317] Fix test psp

---
 .../Point_set_processing_3/test_deprecated_io_point_set.cpp   | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
index 1327b5854ce..6c1be92bcc1 100644
--- a/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
+++ b/Point_set_processing_3/test/Point_set_processing_3/test_deprecated_io_point_set.cpp
@@ -54,7 +54,7 @@ struct GetBlueMap{
 };
 unsigned short get(const GetBlueMap&, const PointWithColor& p)
 {
-  return p.second[3];
+  return p.second[2];
 }
 
 struct GetAlphaMap{
@@ -65,7 +65,7 @@ struct GetAlphaMap{
 };
 unsigned short get(const GetAlphaMap&, const PointWithColor& p)
 {
-  return p.second[4];
+  return p.second[3];
 }
 
 int main()

From cbc73a8fc4abf1a80cbf3961f3f3791d61cb1f5a Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Wed, 3 Feb 2021 12:47:33 +0100
Subject: [PATCH 277/317] Add the testsuite for Triangulation_2, factorize it
 with T_3

I have added the file
`Testsuite/include/CGAL/Testsuite/Triangulation_23/test_move_semantic.h`
so that is can be reused in the tests for `Triangulation_2` and
`Triangulation_3`.

So far, the tests in `test_delaunay_hierarchy_2.cpp` fail...
---
 .../Triangulation_23/test_move_semantic.h     | 69 +++++++++++++++++++
 .../CGAL/_test_cls_triangulation_short_2.h    | 10 +++
 .../include/CGAL/_test_cls_delaunay_3.h       | 43 +++---------
 .../include/CGAL/_test_cls_regular_3.h        | 35 ++--------
 .../include/CGAL/_test_cls_triangulation_3.h  | 44 +++---------
 5 files changed, 100 insertions(+), 101 deletions(-)
 create mode 100644 Testsuite/include/CGAL/Testsuite/Triangulation_23/test_move_semantic.h

diff --git a/Testsuite/include/CGAL/Testsuite/Triangulation_23/test_move_semantic.h b/Testsuite/include/CGAL/Testsuite/Triangulation_23/test_move_semantic.h
new file mode 100644
index 00000000000..3254fb6571f
--- /dev/null
+++ b/Testsuite/include/CGAL/Testsuite/Triangulation_23/test_move_semantic.h
@@ -0,0 +1,69 @@
+// Copyright (c) 2021  GeometryFactory Sarl (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
+//
+//
+// Author(s)     : Laurent Rineau
+//
+
+
+#include <cassert>
+
+namespace CGAL {
+  namespace Testsuite {
+    namespace Triangulation_23 {
+      template <typename Tr>
+      void test_move_semantic(Tr source_tr) {
+        const auto dimension = source_tr.dimension();
+        const auto nb_of_vertices = source_tr.number_of_vertices();
+        auto check_triangulation_validity = [&](const Tr& tr) {
+          assert(tr.is_valid());
+          assert(tr.number_of_vertices() == nb_of_vertices);
+          assert(tr.dimension() == dimension);
+        };
+        auto check_moved_from_triangulation = [](const Tr& tr_copy) {
+          assert(tr_copy.dimension() == -2);
+          assert(tr_copy.number_of_vertices() + 1 == 0);
+        };
+        auto check_empty_triangulation = [](const Tr& tr_copy2) {
+          assert(tr_copy2.dimension() == -1);
+          assert(tr_copy2.number_of_vertices() == 0);
+        };
+        // move constructor
+        {
+          Tr tr_copy(source_tr);
+          check_triangulation_validity(tr_copy);
+
+          Tr tr_move_constructed(std::move(tr_copy));
+          check_triangulation_validity(tr_move_constructed);
+          check_moved_from_triangulation(tr_copy);
+
+          Tr tr_copy2(source_tr);
+          Tr tr_move_constructed2(std::move(tr_copy2));
+          check_moved_from_triangulation(tr_copy2);
+          tr_copy2.clear();
+          check_empty_triangulation(tr_copy2);
+
+          Tr tr_copy3(source_tr);
+          Tr tr_move_constructed3(std::move(tr_copy3));
+          check_moved_from_triangulation(tr_copy3);
+          tr_copy3 = source_tr;
+          check_triangulation_validity(tr_copy3);
+        }
+        // move-assignment
+        {
+          Tr tr_copy4(source_tr);
+          Tr tr_move_assigned;
+          tr_move_assigned = std::move(tr_copy4);
+          check_triangulation_validity(tr_move_assigned);
+          check_moved_from_triangulation(tr_copy4);
+        }
+      };
+    }
+  }
+}
diff --git a/Triangulation_2/test/Triangulation_2/include/CGAL/_test_cls_triangulation_short_2.h b/Triangulation_2/test/Triangulation_2/include/CGAL/_test_cls_triangulation_short_2.h
index d34268631cf..249b1d9e115 100644
--- a/Triangulation_2/test/Triangulation_2/include/CGAL/_test_cls_triangulation_short_2.h
+++ b/Triangulation_2/test/Triangulation_2/include/CGAL/_test_cls_triangulation_short_2.h
@@ -31,6 +31,7 @@
 #include <CGAL/_test_fct_is_infinite.h>
 #include <CGAL/_test_triangulation_iterators.h>
 #include <CGAL/_test_triangulation_circulators.h>
+#include <CGAL/Testsuite/Triangulation_23/test_move_semantic.h>
 
 
 template <class Triangul>
@@ -281,6 +282,15 @@ _test_cls_triangulation_short_2( const Triangul &)
   assert( T2_3_4.number_of_vertices() == 11 );
   assert( T2_3_4.is_valid() );
 
+  /****************************/
+  /******* MOVE SEMANTIC*******/
+
+  std::cout << "    move constructors and move assignment" << std::endl;
+  namespace test_tr_23 = CGAL::Testsuite::Triangulation_23;
+  test_tr_23::test_move_semantic(T0_1);
+  test_tr_23::test_move_semantic(T1_5);
+  test_tr_23::test_move_semantic(T2_8);
+  test_tr_23::test_move_semantic(T2_3);
 
   /*********************************************/
   /****** FINITE/INFINITE VERTICES/FACES *******/
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index d8cf1d38e7e..307db51472a 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -31,6 +31,7 @@
 #include <CGAL/Random.h>
 #include <CGAL/Testsuite/use.h>
 #include <CGAL/internal/Has_nested_type_Bare_point.h>
+#include <CGAL/Testsuite/Triangulation_23/test_move_semantic.h>
 
 // Accessory set of functions to differentiate between
 // Delaunay::nearest_vertex[_in_cell] and
@@ -421,41 +422,8 @@ _test_cls_delaunay_3(const Triangulation &)
   assert(T1.number_of_vertices() == 0);
   assert(T1.is_valid());
 
-  // move constructor
-  {
-    Cls T_copy(T0);
-    assert(T_copy.dimension() == 3);
-    assert(T_copy.number_of_vertices() == 4);
-    assert(T_copy.is_valid());
-    Cls T_move_constructed(std::move(T_copy));
-    assert(T_move_constructed.dimension() == 3);
-    assert(T_move_constructed.number_of_vertices() == 4);
-    assert(T_move_constructed.is_valid());
-    assert(T_copy.dimension() == -2);
-    assert(T_copy.number_of_vertices() + 1 == 0);
-
-    Cls T_copy2(T0);
-    Cls T_move_constructed2(std::move(T_copy2));
-    T_copy2.clear();
-    assert(T_copy2 == Cls());
-
-    Cls T_copy3(T0);
-    Cls T_move_constructed3(std::move(T_copy3));
-    T_copy3 = T0;
-    assert(T_copy3 == T0);
-  }
-  // move-assignment
-  {
-    Cls T_copy4(T0);
-    Cls T_move_assigned;
-    T_move_assigned = std::move(T_copy4);
-    assert(T_copy4.dimension() == -2);
-    assert(T_copy4.number_of_vertices() + 1 == 0);
-    assert(T_move_assigned.dimension() == 3);
-    assert(T_move_assigned.number_of_vertices() == 4);
-    assert(T_move_assigned.is_valid());
-    assert(T_move_assigned == T0);
-  }
+  namespace test_tr_23 = CGAL::Testsuite::Triangulation_23;
+  test_tr_23::test_move_semantic(T0);
 
    // Affectation :
   T1=T0;
@@ -488,6 +456,7 @@ _test_cls_delaunay_3(const Triangulation &)
   assert(T1_0.dimension()==1);
   assert(T1_0.number_of_vertices()==n);
   assert(T1_0.is_valid());
+  test_tr_23::test_move_semantic(T1_0);
   std::cout << "    Constructor7 " << std::endl;
   Cls T1_1;
   n = T1_1.insert(l2.begin(),l2.end());
@@ -548,6 +517,8 @@ _test_cls_delaunay_3(const Triangulation &)
   assert(T2_0.dimension()==2);
   assert(T2_0.number_of_vertices()==8);
 
+  test_tr_23::test_move_semantic(T2_0);
+
   {
       Cls Tfromfile;
       std::cout << "    I/O" << std::endl;
@@ -596,6 +567,8 @@ _test_cls_delaunay_3(const Triangulation &)
   assert(T3_0.number_of_vertices()==125);
   assert(T3_0.dimension()==3);
 
+  test_tr_23::test_move_semantic(T3_0);
+
   if (del) {
     std::cout << "    deletion in Delaunay - grid case - (dim 3) " <<
       std::endl;
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
index 43d397d14fe..ea40d75963e 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_regular_3.h
@@ -17,6 +17,8 @@
 #include <list>
 #include <type_traits>
 #include <CGAL/use.h>
+#include <CGAL/Testsuite/Triangulation_23/test_move_semantic.h>
+
 template <class Triangulation>
 void
 _test_cls_regular_3(const Triangulation &)
@@ -206,35 +208,6 @@ _test_cls_regular_3(const Triangulation &)
   assert(T.is_valid());
   assert(T.dimension()==3);
 
-  // move constructor
-  {
-    Triangulation T_copy(T);
-    assert(T_copy == T);
-    assert(T_copy == T);
-    Triangulation T_move_constructed(std::move(T_copy));
-    assert(T_move_constructed == T);
-    assert(T_copy.dimension() == -2);
-    assert(T_copy.number_of_vertices() + 1 == 0);
-
-    Cls T_copy2(T);
-    Cls T_move_constructed2(std::move(T_copy2));
-    T_copy2.clear();
-    assert(T_copy2 == Cls());
-
-    Cls T_copy3(T);
-    Cls T_move_constructed3(std::move(T_copy3));
-    T_copy3 = T;
-    assert(T_copy3 == T);
-  }
-  // move-assignment
-  {
-    Cls T_copy4(T);
-    Cls T_move_assigned;
-    T_move_assigned = std::move(T_copy4);
-    assert(T_copy4.dimension() == -2);
-    assert(T_copy4.number_of_vertices() + 1 == 0);
-    assert(T_move_assigned.dimension() == 3);
-    assert(T_move_assigned.is_valid());
-    assert(T_move_assigned == T);
-  }
+  namespace test_tr_23 = CGAL::Testsuite::Triangulation_23;
+  test_tr_23::test_move_semantic(T);
 }
diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
index c903a39ed16..a2afe749131 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_triangulation_3.h
@@ -23,6 +23,7 @@
 #include <CGAL/Random.h>
 #include <CGAL/Testsuite/use.h>
 #include <CGAL/use.h>
+#include <CGAL/Testsuite/Triangulation_23/test_move_semantic.h>
 
 template <class Triangulation, class Container>
 bool check_all_are_finite(Triangulation* tr, const Container& cont)
@@ -286,41 +287,8 @@ _test_cls_triangulation_3(const Triangulation &)
   assert(T1.number_of_vertices() == 0);
   assert(T1.is_valid());
 
-  // move constructor
-  {
-    Cls T_copy(T0);
-    assert(T_copy.dimension() == 3);
-    assert(T_copy.number_of_vertices() == 4);
-    assert(T_copy.is_valid());
-    Cls T_move_constructed(std::move(T_copy));
-    assert(T_move_constructed.dimension() == 3);
-    assert(T_move_constructed.number_of_vertices() == 4);
-    assert(T_move_constructed.is_valid());
-    assert(T_copy.dimension() == -2);
-    assert(T_copy.number_of_vertices() + 1 == 0);
-
-    Cls T_copy2(T0);
-    Cls T_move_constructed2(std::move(T_copy2));
-    T_copy2.clear();
-    assert(T_copy2 == Cls());
-
-    Cls T_copy3(T0);
-    Cls T_move_constructed3(std::move(T_copy3));
-    T_copy3 = T0;
-    assert(T_copy3 == T0);
-  }
-  // move-assignment
-  {
-    Cls T_copy4(T0);
-    Cls T_move_assigned;
-    T_move_assigned = std::move(T_copy4);
-    assert(T_copy4.dimension() == -2);
-    assert(T_copy4.number_of_vertices() + 1 == 0);
-    assert(T_move_assigned.dimension() == 3);
-    assert(T_move_assigned.number_of_vertices() == 4);
-    assert(T_move_assigned.is_valid());
-    assert(T_move_assigned == T0);
-  }
+  namespace test_tr_23 = CGAL::Testsuite::Triangulation_23;
+  test_tr_23::test_move_semantic(T0);
 
    // Assignment
   T1=T0;
@@ -397,12 +365,14 @@ _test_cls_triangulation_3(const Triangulation &)
   assert(T2_0.dimension()==1);
   assert(T2_0.number_of_vertices()==3);
 
+  test_tr_23::test_move_semantic(T2_0);
 
   v0=T2_0.insert(p4);
   assert(T2_0.is_valid());
   assert(T2_0.dimension()==2);
   assert(T2_0.number_of_vertices()==4);
 
+  test_tr_23::test_move_semantic(T2_0);
 
   v0=T2_0.insert(p5);
   v0=T2_0.insert(p6);
@@ -414,6 +384,8 @@ _test_cls_triangulation_3(const Triangulation &)
   assert(T2_0.dimension()==2);
   assert(T2_0.number_of_vertices()==8);
 
+  test_tr_23::test_move_semantic(T2_0);
+
   if (! del) // to avoid doing the following tests for both Delaunay
     // and non Delaunay triangulations
     {
@@ -437,6 +409,8 @@ _test_cls_triangulation_3(const Triangulation &)
   assert( T2_1.dimension()==2 );
   assert( T2_1.is_valid() );
 
+  test_tr_23::test_move_semantic(T2_1);
+
   std::cout << "    Constructor11 " << std::endl;
   // 3-dimensional triangulations
   // This is a simple grid :

From 8dbf50a94b0f2065521617c94403f2c6455f2584 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Wed, 3 Feb 2021 21:50:10 +0100
Subject: [PATCH 278/317] Create CGAL::make_filled_array

That function template will replace my adhoc
`create_array_of_triangulation`.
---
 STL_Extension/include/CGAL/array.h              | 14 ++++++++++++++
 .../include/CGAL/Triangulation_hierarchy_3.h    | 17 +++--------------
 2 files changed, 17 insertions(+), 14 deletions(-)

diff --git a/STL_Extension/include/CGAL/array.h b/STL_Extension/include/CGAL/array.h
index 1900a8b1ba0..2f2cf3de44b 100644
--- a/STL_Extension/include/CGAL/array.h
+++ b/STL_Extension/include/CGAL/array.h
@@ -18,6 +18,7 @@
 #else
 #  include <boost/array.hpp>
 #endif
+#include <utility>
 
 namespace CGAL {
 
@@ -68,6 +69,19 @@ struct Construct_array
   }
 };
 
+template <std::size_t...Is, typename T>
+constexpr std::array<T, sizeof...(Is)>
+make_filled_array_aux(const T& value, std::index_sequence<Is...>)
+{
+  return {(static_cast<void>(Is), value)...};
+}
+
+template <std::size_t N, typename T>
+constexpr std::array<T, N> make_filled_array(const T& value)
+{
+  return make_filled_array_aux(value, std::make_index_sequence<N>());
+}
+
 } //namespace CGAL
 
 #endif // CGAL_ARRAY_H
diff --git a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
index e55b8eab5b3..6fc656ca9eb 100644
--- a/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
+++ b/Triangulation_3/include/CGAL/Triangulation_hierarchy_3.h
@@ -51,6 +51,7 @@
 #include <boost/mpl/if.hpp>
 
 #include <array>
+#include <CGAL/array.h>
 
 #endif //CGAL_TRIANGULATION_3_DONT_INSERT_RANGE_OF_POINTS_WITH_INFO
 
@@ -92,18 +93,6 @@ public:
 
 private:
 
-  template <std::size_t...Is>
-  constexpr std::array<Tr_Base, sizeof...(Is)>
-  make_array_of_triangulations(const Geom_traits& traits, std::index_sequence<Is...>)
-  {
-    return {{(static_cast<void>(Is), traits)...}};
-  }
-  template <std::size_t N>
-  constexpr std::array<Tr_Base, N> create_array_of_triangulation(const Geom_traits& traits)
-  {
-    return make_array_of_triangulations(traits, std::make_index_sequence<N>());
-  }
-
   void init_hierarchy() {
     hierarchy[0] = this;
     for(int i=1; i<maxlevel; ++i)
@@ -140,7 +129,7 @@ public:
   Triangulation_hierarchy_3(InputIterator first, InputIterator last,
                             const Geom_traits& traits = Geom_traits())
     : Tr_Base(traits)
-    , hierarchy_triangulations(create_array_of_triangulation<maxlevel-1>(traits))
+    , hierarchy_triangulations(make_filled_array<maxlevel-1, Tr_Base>(traits))
   {
     init_hierarchy();
     insert(first, last);
@@ -465,7 +454,7 @@ template <class Tr >
 Triangulation_hierarchy_3<Tr>::
 Triangulation_hierarchy_3(const Geom_traits& traits)
   : Tr_Base(traits)
-  , hierarchy_triangulations(create_array_of_triangulation<maxlevel-1>(traits))
+  , hierarchy_triangulations(make_filled_array<maxlevel-1, Tr_Base>(traits))
 {
   init_hierarchy();
 }

From 9799879eefdc538d5d4ea949116bcf1914ae2f35 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Wed, 3 Feb 2021 21:51:00 +0100
Subject: [PATCH 279/317] Modernize a bit <CGAL/array.h> assuming C++14

---
 STL_Extension/include/CGAL/array.h | 13 +++++--------
 1 file changed, 5 insertions(+), 8 deletions(-)

diff --git a/STL_Extension/include/CGAL/array.h b/STL_Extension/include/CGAL/array.h
index 2f2cf3de44b..5a80d1335fe 100644
--- a/STL_Extension/include/CGAL/array.h
+++ b/STL_Extension/include/CGAL/array.h
@@ -13,11 +13,7 @@
 #define CGAL_ARRAY_H
 
 #include <CGAL/config.h>
-#ifndef CGAL_CFG_NO_CPP0X_ARRAY
-#  include <array>
-#else
-#  include <boost/array.hpp>
-#endif
+#include <array>
 #include <utility>
 
 namespace CGAL {
@@ -50,8 +46,7 @@ namespace CGAL {
 // It's also untrue that this is not documented...  It is !
 
 template< typename T, typename... Args >
-inline
-std::array< T, 1 + sizeof...(Args) >
+constexpr std::array< T, 1 + sizeof...(Args) >
 make_array(const T & t, const Args & ... args)
 {
   std::array< T, 1 + sizeof...(Args) > a = { { t, static_cast<T>(args)... } };
@@ -63,7 +58,9 @@ make_array(const T & t, const Args & ... args)
 struct Construct_array
 {
   template <typename T, typename... Args>
-  std::array<T, 1 + sizeof...(Args)> operator()(const T& t, const Args& ... args)
+  constexpr
+  std::array<T, 1 + sizeof...(Args)>
+  operator()(const T& t, const Args& ... args)
   {
     return make_array (t, args...);
   }

From b8bb3ffc09ebf6079cb6cf2e0f6afba736e4d8e1 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Thu, 4 Feb 2021 09:21:36 +0100
Subject: [PATCH 280/317] Apply on triangulation_hierarchy_2 the same fix as in
 3D

---
 .../include/CGAL/Triangulation_hierarchy_2.h  | 61 +++++++------------
 1 file changed, 21 insertions(+), 40 deletions(-)

diff --git a/Triangulation_2/include/CGAL/Triangulation_hierarchy_2.h b/Triangulation_2/include/CGAL/Triangulation_hierarchy_2.h
index 266c4964e03..679ace59a24 100644
--- a/Triangulation_2/include/CGAL/Triangulation_hierarchy_2.h
+++ b/Triangulation_2/include/CGAL/Triangulation_hierarchy_2.h
@@ -37,6 +37,7 @@
 #include <map>
 #include <vector>
 #include <array>
+#include <CGAL/array.h>
 
 namespace CGAL {
 
@@ -82,7 +83,14 @@ public:
 #endif
 
  private:
-  // here is the stack of triangulations which form the hierarchy
+  void init_hierarchy() {
+    hierarchy[0] = this;
+    for(int i=1; i<Triangulation_hierarchy_2__maxlevel; ++i)
+      hierarchy[i] = &hierarchy_triangulations[i-1];
+  }
+
+ // here is the stack of triangulations which form the hierarchy
+  std::array<Tr_Base,Triangulation_hierarchy_2__maxlevel-1> hierarchy_triangulations;
   std::array<Tr_Base*,Triangulation_hierarchy_2__maxlevel> hierarchy;
   boost::rand48  random;
 
@@ -93,13 +101,10 @@ public:
   Triangulation_hierarchy_2(Triangulation_hierarchy_2&& other)
     noexcept( noexcept(Tr_Base(std::move(other))) )
     : Tr_Base(std::move(other))
+    , hierarchy_triangulations(std::move(other.hierarchy_triangulations))
     , random(std::move(other.random))
   {
-    hierarchy[0] = this;
-    for(int i=1; i<Triangulation_hierarchy_2__maxlevel; ++i) {
-      hierarchy[i] = other.hierarchy[i];
-      other.hierarchy[i] = nullptr;
-    }
+    init_hierarchy();
   }
 
   template<class InputIterator>
@@ -107,10 +112,7 @@ public:
                             const Geom_traits& traits = Geom_traits())
     : Tr_Base(traits)
   {
-    hierarchy[0] = this;
-    for(int i=1;i<Triangulation_hierarchy_2__maxlevel;++i)
-      hierarchy[i] = new Tr_Base(traits);
-
+    init_hierarchy();
     insert (first, beyond);
   }
 
@@ -120,15 +122,11 @@ public:
     noexcept( noexcept(Triangulation_hierarchy_2(std::move(other))) )
   {
     static_cast<Tr_Base&>(*this) = std::move(other);
-    hierarchy[0] = this;
-    for(int i=1; i<Triangulation_hierarchy_2__maxlevel; ++i) {
-      hierarchy[i] = other.hierarchy[i];
-      other.hierarchy[i] = nullptr;
-    }
+    hierarchy_triangulations = std::move(other.hierarchy_triangulations);
     return *this;
   }
 
-  ~Triangulation_hierarchy_2();
+  ~Triangulation_hierarchy_2() = default;
 
   //Helping
   void copy_triangulation(const Triangulation_hierarchy_2 &tr);
@@ -293,10 +291,11 @@ template <class Tr_>
 Triangulation_hierarchy_2<Tr_>::
 Triangulation_hierarchy_2(const Geom_traits& traits)
   : Tr_Base(traits)
+  , hierarchy_triangulations(
+           make_filled_array<Triangulation_hierarchy_2__maxlevel-1,
+                             Tr_Base>(traits))
 {
-  hierarchy[0] = this;
-  for(int i=1;i<Triangulation_hierarchy_2__maxlevel;++i)
-    hierarchy[i] = new Tr_Base(traits);
+  init_hierarchy();
 }
 
 
@@ -304,12 +303,8 @@ Triangulation_hierarchy_2(const Geom_traits& traits)
 template <class Tr_>
 Triangulation_hierarchy_2<Tr_>::
 Triangulation_hierarchy_2(const Triangulation_hierarchy_2<Tr_> &tr)
-    : Tr_Base()
+  : Triangulation_hierarchy_2(tr.geom_traits())
 {
-  // create an empty triangulation to be able to delete it !
-  hierarchy[0] = this;
-  for(int i=1;i<Triangulation_hierarchy_2__maxlevel;++i)
-    hierarchy[i] = new Tr_Base(tr.geom_traits());
   copy_triangulation(tr);
 }
 
@@ -392,23 +387,9 @@ void
 Triangulation_hierarchy_2<Tr_>::
 swap(Triangulation_hierarchy_2<Tr_> &tr)
 {
-  Tr_Base* temp;
   Tr_Base::swap(tr);
-  for(int i= 1; i<Triangulation_hierarchy_2__maxlevel; ++i){
-    temp = hierarchy[i];
-    hierarchy[i] = tr.hierarchy[i];
-    tr.hierarchy[i]= temp;
-  }
-}
-
-template <class Tr_>
-Triangulation_hierarchy_2<Tr_>::
-~Triangulation_hierarchy_2()
-{
-  clear();
-  for(int i= 1; i<Triangulation_hierarchy_2__maxlevel; ++i){
-    delete hierarchy[i];
-  }
+  using std::swap;
+  swap(hierarchy_triangulations, tr.hierarchy_triangulations);
 }
 
 template <class Tr_>

From 61d3ce86d2ee179c44573896b397ddc54fddbbeb Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 2 Feb 2021 11:30:43 +0100
Subject: [PATCH 281/317] Fix qt5 installation test

---
 Installation/test/Installation/CMakeLists.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Installation/test/Installation/CMakeLists.txt b/Installation/test/Installation/CMakeLists.txt
index f22bddd7708..dcc881d25c9 100644
--- a/Installation/test/Installation/CMakeLists.txt
+++ b/Installation/test/Installation/CMakeLists.txt
@@ -77,7 +77,7 @@ else()
 endif()
 
 if(WITH_CGAL_Qt5)
-  find_package(Qt5 QUIET)
+  find_package(Qt5 QUIET COMPONENTS Core Widgets Xml OpenGL Gui)
   if(Qt5_FOUND)
     create_link_to_program(CGAL_Qt5)
   endif()

From 611735495064d8ccffafe35340a091c45c7d35ae Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 4 Feb 2021 10:33:55 +0100
Subject: [PATCH 282/317] Add missing links for demo_framework

---
 Polyhedron/demo/Polyhedron/CMakeLists.txt | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/Polyhedron/demo/Polyhedron/CMakeLists.txt b/Polyhedron/demo/Polyhedron/CMakeLists.txt
index 19d7cc93284..a057727c87b 100644
--- a/Polyhedron/demo/Polyhedron/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/CMakeLists.txt
@@ -69,7 +69,7 @@ include(${CGAL_USE_FILE})
 
 find_package(
   Qt5 QUIET
-  COMPONENTS OpenGL Script
+  COMPONENTS OpenGL Script Xml
   OPTIONAL_COMPONENTS ScriptTools WebSockets)
 
 set_package_properties(
@@ -233,8 +233,8 @@ if(CGAL_Qt5_FOUND AND Qt5_FOUND)
     Primitive_container.cpp
     Polyhedron_demo_plugin_helper.cpp
     CGAL_double_edit.cpp)
-  target_link_libraries(demo_framework PUBLIC Qt5::OpenGL Qt5::Widgets Qt5::Gui
-                                              Qt5::Script)
+  target_link_libraries(demo_framework PUBLIC Qt5::OpenGL Qt5::Widgets Qt5::Gui Qt5::Xml
+                                              Qt5::Script CGAL::CGAL_Qt5)
   if(TARGET Qt5::WebSockets)
     target_link_libraries(demo_framework PUBLIC Qt5::WebSockets)
     message(

From 46cb451bde38d78fc85a4c8b14cef478d6182a46 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Thu, 4 Feb 2021 10:47:52 +0100
Subject: [PATCH 283/317] Force a move-construction in the test case for issue
 #5396

---
 .../test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h | 5 +++--
 1 file changed, 3 insertions(+), 2 deletions(-)

diff --git a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
index 307db51472a..21178f53eed 100644
--- a/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
+++ b/Triangulation_3/test/Triangulation_3/include/CGAL/_test_cls_delaunay_3.h
@@ -1209,9 +1209,10 @@ _test_cls_delaunay_3(const Triangulation &)
       for (int i=0; i<10; i++)
         tri.insert(Point(i+1, i+2, i+3));
 
-      return std::move(tri); // the move prevents the NRVO
+      return tri;
     };
-    Triangulation t = Triangulate();
+    auto t = Triangulate();
+    auto t2 = std::move(t);
   }
 }
 

From c23b0c33e30d819bb3aee3ed335becc93b7aff14 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 4 Feb 2021 12:01:14 +0100
Subject: [PATCH 284/317] limit the number of qt5 components in installation
 test

---
 Installation/test/Installation/CMakeLists.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Installation/test/Installation/CMakeLists.txt b/Installation/test/Installation/CMakeLists.txt
index dcc881d25c9..6295a9e968a 100644
--- a/Installation/test/Installation/CMakeLists.txt
+++ b/Installation/test/Installation/CMakeLists.txt
@@ -77,7 +77,7 @@ else()
 endif()
 
 if(WITH_CGAL_Qt5)
-  find_package(Qt5 QUIET COMPONENTS Core Widgets Xml OpenGL Gui)
+  find_package(Qt5 QUIET COMPONENTS Core)
   if(Qt5_FOUND)
     create_link_to_program(CGAL_Qt5)
   endif()

From c30056b126f794d3fb2e9379a5a33162a6e042fd Mon Sep 17 00:00:00 2001
From: Sebastien Loriot <sloriot.ml@gmail.com>
Date: Fri, 5 Feb 2021 13:51:21 +0100
Subject: [PATCH 285/317] use move assignment

---
 .../include/CGAL/Side_of_triangle_mesh.h           | 14 ++------------
 1 file changed, 2 insertions(+), 12 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
index 08dd5262afe..c634e2a1fe7 100644
--- a/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Side_of_triangle_mesh.h
@@ -186,20 +186,10 @@ public:
   * location with minimal memory copy.
   * @param other The instance to be moved
   */
-  Side_of_triangle_mesh(Side_of_triangle_mesh&& other) :
-    tm_ptr{std::move(other.tm_ptr)},
-    opt_vpm{std::move(other.opt_vpm)},
-    own_tree{std::move(other.own_tree)},
-    box{std::move(other.box)},
-    #ifdef CGAL_HAS_THREADS
-      atomic_tree_ptr{other.atomic_tree_ptr.load()}
-    #else
-      tree_ptr{std::move(other.tree_ptr)}
-    #endif
+  Side_of_triangle_mesh(Side_of_triangle_mesh&& other)
   {
-    other.own_tree = false;
+    *this = std::move(other);
   }
-
   ~Side_of_triangle_mesh()
   {
     if (own_tree)

From 2dac31f36f00394436c26651262e34a22b2cb1fd Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 5 Feb 2021 14:14:11 +0100
Subject: [PATCH 286/317] Clean-up and fix doc

---
 BGL/include/CGAL/boost/graph/IO/GOCAD.h              |  5 ++---
 .../CGAL/boost/graph/IO/Generic_facegraph_printer.h  |  2 +-
 BGL/include/CGAL/boost/graph/IO/OBJ.h                |  2 +-
 BGL/include/CGAL/boost/graph/IO/OFF.h                |  3 +--
 BGL/include/CGAL/boost/graph/IO/PLY.h                |  4 ++--
 BGL/include/CGAL/boost/graph/IO/STL.h                |  4 ++--
 BGL/include/CGAL/boost/graph/IO/VTK.h                |  4 ++--
 BGL/include/CGAL/boost/graph/IO/WRL.h                |  2 +-
 BGL/include/CGAL/boost/graph/named_params_helper.h   | 12 +++++++-----
 .../infrastructure/cgal.geometryfactory.com/crontab  |  2 +-
 Point_set_3/include/CGAL/Point_set_3/IO/OFF.h        |  2 +-
 Point_set_3/include/CGAL/Point_set_3/IO/PLY.h        |  4 ++--
 Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h        |  2 +-
 .../include/CGAL/IO/write_off_points.h               |  6 +++---
 .../include/CGAL/IO/write_ply_points.h               |  4 ++--
 .../include/CGAL/IO/write_xyz_points.h               |  5 ++---
 Stream_support/include/CGAL/IO/GOCAD.h               |  4 ++--
 Stream_support/include/CGAL/IO/Generic_writer.h      |  2 +-
 Stream_support/include/CGAL/IO/OBJ.h                 |  2 +-
 Stream_support/include/CGAL/IO/OFF.h                 |  3 +--
 Stream_support/include/CGAL/IO/OI/Inventor_ostream.h | 10 ++--------
 Stream_support/include/CGAL/IO/PLY.h                 |  4 ++--
 Stream_support/include/CGAL/IO/STL.h                 |  4 ++--
 .../include/CGAL/IO/VRML/File_writer_VRML_2.h        |  3 +--
 Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h | 10 ++--------
 Stream_support/include/CGAL/IO/VTK.h                 |  5 ++---
 Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h      |  2 +-
 Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h      |  4 ++--
 28 files changed, 50 insertions(+), 66 deletions(-)

diff --git a/BGL/include/CGAL/boost/graph/IO/GOCAD.h b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
index ac5ea9957c0..111bdc0ccfe 100644
--- a/BGL/include/CGAL/boost/graph/IO/GOCAD.h
+++ b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
@@ -271,7 +271,7 @@ bool read_GOCAD(const std::string& fname, Graph& g,
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`the precision of the given stream`}
+///     \cgalParamDefault{`the precision of the stream `os``}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
 ///
@@ -379,7 +379,7 @@ bool write_GOCAD(std::ostream& os, const char* name, const Graph& g,
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`the precision of the given stream`}
+///     \cgalParamDefault{`the precision of the stream `os``}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
 ///
@@ -454,7 +454,6 @@ bool write_GOCAD(const std::string& fname,
   std::ofstream os(fname);
   CGAL::set_mode(os, CGAL::IO::ASCII);
 
-
   return write_GOCAD(os, fname.c_str(), g, np);
 }
 
diff --git a/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h b/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
index 53709564546..5fb75be5363 100644
--- a/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
+++ b/BGL/include/CGAL/boost/graph/IO/Generic_facegraph_printer.h
@@ -117,7 +117,7 @@ public:
     if(!m_os.good())
       return false;
 
-    set_default_stream_precision(m_os, np);
+    set_stream_precision_from_NP(m_os, np);
 
     VPM vpm = choose_parameter(get_parameter(np, internal_np::vertex_point),
                                get_const_property_map(CGAL::vertex_point, g));
diff --git a/BGL/include/CGAL/boost/graph/IO/OBJ.h b/BGL/include/CGAL/boost/graph/IO/OBJ.h
index 7ab9cbd29d4..7d733c9f8b4 100644
--- a/BGL/include/CGAL/boost/graph/IO/OBJ.h
+++ b/BGL/include/CGAL/boost/graph/IO/OBJ.h
@@ -231,7 +231,7 @@ bool read_OBJ(const std::string& fname, Graph& g,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`the precision of the given stream`}
+      \cgalParamDefault{`the precision of the stream `os``}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
diff --git a/BGL/include/CGAL/boost/graph/IO/OFF.h b/BGL/include/CGAL/boost/graph/IO/OFF.h
index 6ea0f68a6b9..57685046e79 100644
--- a/BGL/include/CGAL/boost/graph/IO/OFF.h
+++ b/BGL/include/CGAL/boost/graph/IO/OFF.h
@@ -300,7 +300,6 @@ CGAL_DEPRECATED bool read_off(const char* fname, Graph& g, const CGAL_BGL_NP_CLA
  return read_OFF(fname, g, np);
 }
 
-
 template <typename Graph>
 CGAL_DEPRECATED bool read_off(std::istream& is, Graph& g)
 {
@@ -387,7 +386,7 @@ bool write_OFF_BGL(std::ostream& os,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`the precision of the given stream`}
+      \cgalParamDefault{`the precision of the stream `os``}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
diff --git a/BGL/include/CGAL/boost/graph/IO/PLY.h b/BGL/include/CGAL/boost/graph/IO/PLY.h
index 6ad32267952..c571c07d629 100644
--- a/BGL/include/CGAL/boost/graph/IO/PLY.h
+++ b/BGL/include/CGAL/boost/graph/IO/PLY.h
@@ -311,7 +311,7 @@ bool read_PLY(const std::string& fname, Graph& g,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`the precision of the given stream`}
+      \cgalParamDefault{`the precision of the stream `os``}
       \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
     \cgalParamNEnd
  \cgalNamedParamsEnd
@@ -361,7 +361,7 @@ bool write_PLY(std::ostream& os,
   if(!os.good())
     return false;
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   // Write header
   os << "ply" << std::endl
diff --git a/BGL/include/CGAL/boost/graph/IO/STL.h b/BGL/include/CGAL/boost/graph/IO/STL.h
index 11005c1dfb4..78bd1fcb588 100644
--- a/BGL/include/CGAL/boost/graph/IO/STL.h
+++ b/BGL/include/CGAL/boost/graph/IO/STL.h
@@ -231,7 +231,7 @@ bool read_STL(const std::string& fname, Graph& g) { return read_STL(fname, g, pa
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
        \cgalParamType{int}
-       \cgalParamDefault{`the precision of the given stream`}
+       \cgalParamDefault{`the precision of the stream `os``}
        \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
     \cgalParamNEnd
   \cgalNamedParamsEnd
@@ -262,7 +262,7 @@ bool write_STL(std::ostream& os,
   if(!os.good())
     return false;
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   if(get_mode(os) == IO::BINARY)
   {
diff --git a/BGL/include/CGAL/boost/graph/IO/VTK.h b/BGL/include/CGAL/boost/graph/IO/VTK.h
index a62f3e1cb91..894b3598b09 100644
--- a/BGL/include/CGAL/boost/graph/IO/VTK.h
+++ b/BGL/include/CGAL/boost/graph/IO/VTK.h
@@ -420,7 +420,7 @@ void write_polys_points(std::ostream& os,
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`the precision of the given stream`}
+ *     \cgalParamDefault{`the precision of the stream `os``}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -439,7 +439,7 @@ bool write_VTP(std::ostream& os,
   if(!os.good())
     return false;
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   os << "<?xml version=\"1.0\"?>\n"
      << "<VTKFile type=\"PolyData\" version=\"0.1\"";
diff --git a/BGL/include/CGAL/boost/graph/IO/WRL.h b/BGL/include/CGAL/boost/graph/IO/WRL.h
index 2506f1ab8e8..dc8186862c7 100644
--- a/BGL/include/CGAL/boost/graph/IO/WRL.h
+++ b/BGL/include/CGAL/boost/graph/IO/WRL.h
@@ -59,7 +59,7 @@ namespace CGAL {
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`the precision of the given stream`}
+      \cgalParamDefault{`the precision of the stream `os``}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
diff --git a/BGL/include/CGAL/boost/graph/named_params_helper.h b/BGL/include/CGAL/boost/graph/named_params_helper.h
index 98f90559ffa..429b4be92e0 100644
--- a/BGL/include/CGAL/boost/graph/named_params_helper.h
+++ b/BGL/include/CGAL/boost/graph/named_params_helper.h
@@ -562,13 +562,15 @@ CGAL_DEF_GET_INITIALIZED_INDEX_MAP(face, typename boost::graph_traits<Graph>::fa
   };
 
   template<typename NP>
-  void set_default_stream_precision(std::ostream& os, const NP& np)
+  void set_stream_precision_from_NP(std::ostream& os, const NP& np)
   {
-    if(!parameters::is_default_parameter(
-         parameters::get_parameter(np, internal_np::stream_precision)))
+    using parameters::get_parameter;
+    using parameters::choose_parameter;
+
+    if(!is_default_parameter(get_parameter(np, internal_np::stream_precision)))
     {
-      const int precision = parameters::choose_parameter<int>(
-            parameters::get_parameter(np, internal_np::stream_precision));
+      const int precision = choose_parameter<int>(get_parameter(np,
+                              internal_np::stream_precision));
       os.precision(precision);
     }
   }
diff --git a/Maintenance/infrastructure/cgal.geometryfactory.com/crontab b/Maintenance/infrastructure/cgal.geometryfactory.com/crontab
index 34829fff40e..c023da89fcf 100644
--- a/Maintenance/infrastructure/cgal.geometryfactory.com/crontab
+++ b/Maintenance/infrastructure/cgal.geometryfactory.com/crontab
@@ -67,7 +67,7 @@ LC_CTYPE=en_US.UTF-8
 18 * * * * $HOME/bin/dump_crontab
 
 # Docker check every hour
-#0 * * * * docker inspect --format='{{json .State.Health.Status}}' cgal-mediawiki-docker_wiki_1 | grep -q '"healthy"' || docker logs cgal-mediawiki-docker_wiki_1
+0 * * * * docker inspect --format='{{json .State.Health.Status}}' cgal-mediawiki-docker_wiki_1 | grep -q '"healthy"' || docker logs cgal-mediawiki-docker_wiki_1
 
 # cgal->cgal2 with git-multimail
 */5 * * * * cd $HOME/Git/cgal-dev-pusher.git      && $HOME/bin/git-fetch-and-push-to-multimail cgal-dev         cgal-dev-receiver
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h b/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h
index fbeda69c4fc..b8882c97fdc 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/OFF.h
@@ -134,7 +134,7 @@ CGAL_DEPRECATED bool read_off_point_set(std::istream& is,  ///< input stream.
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`the precision of the given stream`}
+      \cgalParamDefault{`the precision of the stream `os``}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
index ae2d6ad7fb7..4646ffbd974 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/PLY.h
@@ -456,7 +456,7 @@ CGAL_DEPRECATED bool read_ply_point_set(std::istream& is, ///< input stream.
    \cgalParamNBegin{stream_precision}
      \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
      \cgalParamType{int}
-     \cgalParamDefault{`the precision of the given stream`}
+     \cgalParamDefault{`the precision of the stream `os``}
      \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
    \cgalParamNEnd
   \cgalNamedParamsEnd
@@ -493,7 +493,7 @@ bool write_PLY(std::ostream& os,
     return false;
   }
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   os << "ply" << std::endl
      << ((get_mode(os) == IO::BINARY) ? "format binary_little_endian 1.0" : "format ascii 1.0") << std::endl
diff --git a/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h b/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
index fee680c1e50..a7b243fc192 100644
--- a/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
+++ b/Point_set_3/include/CGAL/Point_set_3/IO/XYZ.h
@@ -132,7 +132,7 @@ CGAL_DEPRECATED bool read_xyz_point_set(std::istream& is, CGAL::Point_set_3<Poin
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`the precision of the given stream`}
+      \cgalParamDefault{`the precision of the stream `os``}
     \cgalParamNEnd
   \cgalNamedParamsEnd
 
diff --git a/Point_set_processing_3/include/CGAL/IO/write_off_points.h b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
index 0300012f350..ab5a9169338 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_off_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_off_points.h
@@ -66,7 +66,7 @@ bool write_OFF_PSP(std::ostream& os,
     return false;
   }
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   // Write header
   os << "NOFF" << std::endl;
@@ -124,7 +124,7 @@ bool write_OFF_PSP(std::ostream& os,
     \cgalParamNBegin{stream_precision}
       \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
       \cgalParamType{int}
-      \cgalParamDefault{`the precision of the given stream`}
+      \cgalParamDefault{`the precision of the stream `os``}
     \cgalParamNEnd
    \cgalNamedParamsEnd
 
@@ -207,7 +207,7 @@ bool write_OFF(const std::string& filename,
                )
 {
   std::ofstream os(filename);
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
   return write_OFF(os, points, np);
 }
 
diff --git a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
index 84e5442e810..14cf9256949 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_ply_points.h
@@ -175,7 +175,7 @@ template <typename PointRange,
      \cgalParamNBegin{stream_precision}
        \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
        \cgalParamType{int}
-       \cgalParamDefault{`the precision of the given stream`}
+       \cgalParamDefault{`the precision of the stream `os``}
        \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
      \cgalParamNEnd
    \cgalNamedParamsEnd
@@ -212,7 +212,7 @@ bool write_PLY(std::ostream& os,
     return false;
   }
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   if (has_normals)
     return write_PLY_with_properties(os, points,
diff --git a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
index 2a4ef60d17b..5ccfa93d943 100644
--- a/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
+++ b/Point_set_processing_3/include/CGAL/IO/write_xyz_points.h
@@ -67,7 +67,7 @@ bool write_XYZ_PSP(std::ostream& os,
     return false;
   }
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   // Write positions + normals
   for(typename PointRange::const_iterator it = points.begin(); it != points.end(); it++)
@@ -121,7 +121,7 @@ bool write_XYZ_PSP(std::ostream& os,
      \cgalParamNBegin{stream_precision}
        \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
        \cgalParamType{int}
-       \cgalParamDefault{`the precision of the given stream`}
+       \cgalParamDefault{`the precision of the stream `os``}
      \cgalParamNEnd
    \cgalNamedParamsEnd
 
@@ -201,7 +201,6 @@ bool write_XYZ(const std::string& filename,
                )
 {
   std::ofstream os(filename);
-
   return write_XYZ(os, points, np);
 }
 
diff --git a/Stream_support/include/CGAL/IO/GOCAD.h b/Stream_support/include/CGAL/IO/GOCAD.h
index 2be6af7a0ad..104a3c6cc54 100644
--- a/Stream_support/include/CGAL/IO/GOCAD.h
+++ b/Stream_support/include/CGAL/IO/GOCAD.h
@@ -299,7 +299,7 @@ bool write_GOCAD(std::ostream& os,
 
   set_ascii_mode(os); // GOCAD is ASCII only
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   os << "GOCAD TSurf 1\n"
         "HEADER {\n"
@@ -356,7 +356,7 @@ bool write_GOCAD(std::ostream& os,
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`the precision of the given stream`}
+ *     \cgalParamDefault{`the precision of the stream `os``}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
diff --git a/Stream_support/include/CGAL/IO/Generic_writer.h b/Stream_support/include/CGAL/IO/Generic_writer.h
index c9700536edd..2f5d2a50d4a 100644
--- a/Stream_support/include/CGAL/IO/Generic_writer.h
+++ b/Stream_support/include/CGAL/IO/Generic_writer.h
@@ -49,7 +49,7 @@ public:
     if(!m_os.good())
       return false;
 
-    set_default_stream_precision(m_os, np);
+    set_stream_precision_from_NP(m_os, np);
 
     m_writer.write_header(m_os, points.size(), 0, polygons.size());
     for(std::size_t i=0, end=points.size(); i<end; ++i)
diff --git a/Stream_support/include/CGAL/IO/OBJ.h b/Stream_support/include/CGAL/IO/OBJ.h
index b51c725e7c1..ea3abc8075f 100644
--- a/Stream_support/include/CGAL/IO/OBJ.h
+++ b/Stream_support/include/CGAL/IO/OBJ.h
@@ -319,7 +319,7 @@ bool read_OBJ(const std::string& fname, PointRange& points, PolygonRange& polygo
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`the precision of the given stream`}
+ *     \cgalParamDefault{`the precision of the stream `os``}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
diff --git a/Stream_support/include/CGAL/IO/OFF.h b/Stream_support/include/CGAL/IO/OFF.h
index 654a933b562..645ecf6e15f 100644
--- a/Stream_support/include/CGAL/IO/OFF.h
+++ b/Stream_support/include/CGAL/IO/OFF.h
@@ -298,7 +298,7 @@ bool read_OFF(const std::string& fname, PointRange& points, PolygonRange& polygo
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`the precision of the given stream`}
+ *     \cgalParamDefault{`the precision of the stream `os``}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -367,7 +367,6 @@ bool write_OFF(const std::string& fname,
                )
 {
   std::ofstream os(fname);
-
   Generic_writer<std::ostream, File_writer_OFF> writer(os);
   return writer(points, polygons, np);
 }
diff --git a/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h b/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
index 4d0d1e41e65..45324fb7c7a 100644
--- a/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
+++ b/Stream_support/include/CGAL/IO/OI/Inventor_ostream.h
@@ -91,15 +91,9 @@ private:
 };
 
 template<typename NP>
-void set_default_stream_precision(Inventor_ostream_base& os, const NP& np)
+void set_stream_precision_from_NP(Inventor_ostream_base& os, const NP& np)
 {
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = parameters::choose_parameter<int>(
-          parameters::get_parameter(np, internal_np::stream_precision));
-    os.os().precision(precision);
-  }
+  return set_stream_precision_from_NP(os.os(), np);
 }
 
 } // namespace CGAL
diff --git a/Stream_support/include/CGAL/IO/PLY.h b/Stream_support/include/CGAL/IO/PLY.h
index 0a9346159c2..bfcebbf8d7c 100644
--- a/Stream_support/include/CGAL/IO/PLY.h
+++ b/Stream_support/include/CGAL/IO/PLY.h
@@ -445,7 +445,7 @@ bool read_PLY(const std::string& fname, PointRange& points, PolygonRange& polygo
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`the precision of the given stream`}
+ *     \cgalParamDefault{`the precision of the stream `os``}
  *     \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
@@ -468,7 +468,7 @@ bool write_PLY(std::ostream& out,
   if(!out.good())
     return false;
 
-  set_default_stream_precision(out, np);
+  set_stream_precision_from_NP(out, np);
 
   // Write header
   out << "ply" << std::endl
diff --git a/Stream_support/include/CGAL/IO/STL.h b/Stream_support/include/CGAL/IO/STL.h
index 437d7f410bb..009e90b1ad4 100644
--- a/Stream_support/include/CGAL/IO/STL.h
+++ b/Stream_support/include/CGAL/IO/STL.h
@@ -284,7 +284,7 @@ bool read_STL(const std::string& fname, PointRange& points, TriangleRange& facet
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`the precision of the given stream`}
+ *     \cgalParamDefault{`the precision of the stream `os``}
  *     \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
@@ -317,7 +317,7 @@ bool write_STL(std::ostream& os,
   if(!os.good())
     return false;
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   if(get_mode(os) == IO::BINARY)
   {
diff --git a/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h b/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
index 6bc7249d1f5..48e58fa64ec 100644
--- a/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
+++ b/Stream_support/include/CGAL/IO/VRML/File_writer_VRML_2.h
@@ -28,7 +28,6 @@ namespace CGAL {
 
 class File_writer_VRML_2
 {
-
   VRML_2_ostream m_os;
   std::size_t m_facets;
 
@@ -43,7 +42,7 @@ public:
                     std::size_t facets,
                     const bool /*colors*/ = false,
                     const bool /*normals*/ = false,
-                    const bool /*te xtures*/ = false)
+                    const bool /*textures*/ = false)
   {
     m_os = o;
     m_facets = facets;
diff --git a/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h b/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
index 402bfb98220..08e8fdd7e49 100644
--- a/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
+++ b/Stream_support/include/CGAL/IO/VRML/VRML_2_ostream.h
@@ -106,15 +106,9 @@ inline VRML_2_ostream& operator<<(VRML_2_ostream& os,
 }
 
 template<typename NP>
-void set_default_stream_precision(VRML_2_ostream& os, const NP& np)
+void set_stream_precision_from_NP(VRML_2_ostream& os, const NP& np)
 {
-  if(!parameters::is_default_parameter(
-       parameters::get_parameter(np, internal_np::stream_precision)))
-  {
-    const int precision = parameters::choose_parameter<int>(
-          parameters::get_parameter(np, internal_np::stream_precision));
-    os.os().precision(precision);
-  }
+  return set_stream_precision_from_NP(os.os(), np);
 }
 } // namespace CGAL
 
diff --git a/Stream_support/include/CGAL/IO/VTK.h b/Stream_support/include/CGAL/IO/VTK.h
index 76c13581d4e..d56dd2f0d11 100644
--- a/Stream_support/include/CGAL/IO/VTK.h
+++ b/Stream_support/include/CGAL/IO/VTK.h
@@ -21,7 +21,6 @@
 #include <CGAL/boost/graph/Named_function_parameters.h>
 #include <CGAL/boost/graph/named_params_helper.h>
 
-
 #ifdef CGAL_USE_VTK
 #include <vtkSmartPointer.h>
 #include <vtkCommand.h>
@@ -375,7 +374,7 @@ void write_soup_polys_points(std::ostream& os,
  *   \cgalParamNBegin{stream_precision}
  *     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
  *     \cgalParamType{int}
- *     \cgalParamDefault{`the precision of the given stream`}
+ *     \cgalParamDefault{`the precision of the stream `os``}
  *   \cgalParamNEnd
  * \cgalNamedParamsEnd
  *
@@ -395,7 +394,7 @@ bool write_VTP(std::ostream& os,
   if(!os.good())
     return false;
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   os << "<?xml version=\"1.0\"?>\n"
      << "<VTKFile type=\"PolyData\" version=\"0.1\"";
diff --git a/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h b/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h
index ca61a258f17..d8200a7592e 100644
--- a/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h
+++ b/Surface_mesh/include/CGAL/Surface_mesh/IO/OFF.h
@@ -556,7 +556,7 @@ bool write_OFF_with_or_without_vnormals(std::ostream& os,
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`the precision of the given stream`}
+///     \cgalParamDefault{`the precision of the stream `os``}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
 ///
diff --git a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
index a270c93e1c3..f19a3b9d9b2 100644
--- a/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
+++ b/Surface_mesh/include/CGAL/Surface_mesh/IO/PLY.h
@@ -899,7 +899,7 @@ CGAL_DEPRECATED bool read_ply(std::istream& is, Surface_mesh<P>& sm, std::string
 ///   \cgalParamNBegin{stream_precision}
 ///     \cgalParamDescription{a parameter used to set the precision (i.e. how many digits are generated) of the output stream}
 ///     \cgalParamType{int}
-///     \cgalParamDefault{`the precision of the given stream`}
+///     \cgalParamDefault{`the precision of the stream `os``}
 ///     \cgalParamExtra{This parameter is only meaningful while using ASCII encoding.}
 ///   \cgalParamNEnd
 /// \cgalNamedParamsEnd
@@ -921,7 +921,7 @@ bool write_PLY(std::ostream& os,
   if(!os.good())
     return false;
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   os << "ply" << std::endl
      << ((get_mode(os) == IO::BINARY) ? "format binary_little_endian 1.0" : "format ascii 1.0") << std::endl

From 8914b2fc829a67c2d5858bbe2161f8ce8515d8be Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@users.noreply.github.com>
Date: Fri, 5 Feb 2021 14:43:29 +0100
Subject: [PATCH 287/317] Update
 Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h

Co-authored-by: Sebastien Loriot <sloriot.ml@gmail.com>
---
 .../include/CGAL/Polygon_mesh_processing/triangulate_hole.h     | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
index 9c61f808406..98c33a0c0f0 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_hole.h
@@ -144,7 +144,7 @@ namespace Polygon_mesh_processing {
     #ifdef CGAL_HOLE_FILLING_DO_NOT_USE_CDT2
         false;
 #else
-        choose_parameter(get_parameter(np, internal_np::use_2d_constrained_delaunay_triangulation), true);
+        choose_parameter(get_parameter(np, internal_np::use_2d_constrained_delaunay_triangulation), false);
 #endif
 
     typename GeomTraits::FT max_squared_distance = typename GeomTraits::FT(-1);

From ce7d06d5f45ad084cf260f9bdf481f673fbf348e Mon Sep 17 00:00:00 2001
From: Giles Bathgate <giles.bathgate@gmail.com>
Date: Sat, 5 Dec 2020 08:12:56 +0000
Subject: [PATCH 288/317] Disable NEF trace unless the user specifically wants
 it

---
 Nef_2/include/CGAL/Nef_2/debug.h              | 17 +++++++-------
 Nef_3/include/CGAL/Nef_3/K3_tree.h            | 23 +++++++++----------
 .../CGAL/Nef_3/SNC_external_structure.h       |  2 +-
 3 files changed, 20 insertions(+), 22 deletions(-)

diff --git a/Nef_2/include/CGAL/Nef_2/debug.h b/Nef_2/include/CGAL/Nef_2/debug.h
index a8581420761..d4ccc190ddc 100644
--- a/Nef_2/include/CGAL/Nef_2/debug.h
+++ b/Nef_2/include/CGAL/Nef_2/debug.h
@@ -16,15 +16,14 @@
 #include <iostream>
 
 #ifdef NDEBUG
-#undef CGAL_NEF_DEBUG
-#define CGAL_NEF_DEBUG 1
+#undef CGAL_USE_TRACE
 #endif
 
 #ifndef CGAL_NEF_DEBUG
 #define CGAL_NEF_DEBUG 1
 #endif
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
   static int debugthread=1;
 #endif
 
@@ -35,40 +34,40 @@
 #undef CGAL_NEF_CTRACEN
 #undef CGAL_NEF_SETDTHREAD
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
 #define CGAL_NEF_SETDTHREAD(l) debugthread=l
 #else
 #define CGAL_NEF_SETDTHREAD(l)
 #endif
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
 #define CGAL_NEF_TRACE(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
     { std::cerr<<" "<<t; }
 #else
 #define CGAL_NEF_TRACE(t) (static_cast<void>(0))
 #endif
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
 #define CGAL_NEF_TRACEV(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
     { std::cerr<<" "<<#t<<" = "<<(t)<<std::endl; }
 #else
 #define CGAL_NEF_TRACEV(t) (static_cast<void>(0))
 #endif
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
 #define CGAL_NEF_TRACEN(t) if((debugthread%CGAL_NEF_DEBUG)==0) \
     { std::cerr<< " "<<t<<std::endl; }
 #else
 #define CGAL_NEF_TRACEN(t) (static_cast<void>(0))
 #endif
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
 #define CGAL_NEF_CTRACE(b,t) if(b) {std::cerr<<" "<<t;} else {std::cerr<<" 0"}
 #else
 #define CGAL_NEF_CTRACE(b,t) (static_cast<void>(0))
 #endif
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
 #define CGAL_NEF_CTRACEN(b,t) if(b){ std::cerr<<" "<<t<<"\n";} else {std::cerr<<" 0\n"}
 #else
 #define CGAL_NEF_CTRACEN(b,t) (static_cast<void>(0))
diff --git a/Nef_3/include/CGAL/Nef_3/K3_tree.h b/Nef_3/include/CGAL/Nef_3/K3_tree.h
index 6c4a3fa6f42..c3b8aaecffc 100644
--- a/Nef_3/include/CGAL/Nef_3/K3_tree.h
+++ b/Nef_3/include/CGAL/Nef_3/K3_tree.h
@@ -524,19 +524,18 @@ else {
     Segment_3 s = S.front().second;
     S.pop_front();
     if( n->is_leaf()) {
-#ifndef NDEBUG
+
       CGAL_assertion_code(
-      if( first_segment) {
-        first_segment = false;
-        CGAL_NEF_TRACEN("operator++: prev_segment=(none), segment="<<s);
-      }
-      else {
-        CGAL_assertion( prev_segment.target() == s.source());
-        CGAL_assertion( prev_segment.direction() == s.direction());
-        CGAL_NEF_TRACEN("operator++: prev_segment="<<prev_segment<<", segment="<<s);
-      }
-      prev_segment = s);
-#endif
+        if( first_segment) {
+          first_segment = false;
+          CGAL_NEF_TRACEN("operator++: prev_segment=(none), segment="<<s);
+        } else {
+          CGAL_assertion( prev_segment.target() == s.source());
+          CGAL_assertion( prev_segment.direction() == s.direction());
+          CGAL_NEF_TRACEN("operator++: prev_segment="<<prev_segment<<", segment="<<s);
+        }
+        prev_segment = s);
+
       node = n;
       break;
     }
diff --git a/Nef_3/include/CGAL/Nef_3/SNC_external_structure.h b/Nef_3/include/CGAL/Nef_3/SNC_external_structure.h
index e85dccedf1d..43ef20dafb5 100644
--- a/Nef_3/include/CGAL/Nef_3/SNC_external_structure.h
+++ b/Nef_3/include/CGAL/Nef_3/SNC_external_structure.h
@@ -660,7 +660,7 @@ public:
                cet->source()->twin() == ce->source() )
             break;
 
-#ifndef NDEBUG
+#ifdef CGAL_USE_TRACE
       if( cet->circle() != ce->circle().opposite() )
         CGAL_NEF_TRACEN("assertion failed!");
 

From cca6d7fa88dde89cb729cd23a2ecbb1c75969b2d Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 8 Feb 2021 09:06:57 +0100
Subject: [PATCH 289/317] add missing using

---
 BGL/include/CGAL/boost/graph/named_params_helper.h | 1 +
 1 file changed, 1 insertion(+)

diff --git a/BGL/include/CGAL/boost/graph/named_params_helper.h b/BGL/include/CGAL/boost/graph/named_params_helper.h
index 429b4be92e0..cc38868738d 100644
--- a/BGL/include/CGAL/boost/graph/named_params_helper.h
+++ b/BGL/include/CGAL/boost/graph/named_params_helper.h
@@ -566,6 +566,7 @@ CGAL_DEF_GET_INITIALIZED_INDEX_MAP(face, typename boost::graph_traits<Graph>::fa
   {
     using parameters::get_parameter;
     using parameters::choose_parameter;
+    using parameters::is_default_parameter;
 
     if(!is_default_parameter(get_parameter(np, internal_np::stream_precision)))
     {

From e7197d89d23ace20d2a0412c0264f1f524ad8f49 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 8 Feb 2021 09:28:13 +0100
Subject: [PATCH 290/317] replace remaining wrong function call

---
 BGL/include/CGAL/boost/graph/IO/GOCAD.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/BGL/include/CGAL/boost/graph/IO/GOCAD.h b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
index 111bdc0ccfe..966e4f4219d 100644
--- a/BGL/include/CGAL/boost/graph/IO/GOCAD.h
+++ b/BGL/include/CGAL/boost/graph/IO/GOCAD.h
@@ -303,7 +303,7 @@ bool write_GOCAD(std::ostream& os,
   if(!os.good())
     return false;
 
-  set_default_stream_precision(os, np);
+  set_stream_precision_from_NP(os, np);
 
   os << "GOCAD TSurf 1\n"
         "HEADER {\n"

From 7f189620d863fc5019adbbb41f5dae62809fcd2c Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 8 Feb 2021 10:06:23 +0100
Subject: [PATCH 291/317] Remove CMAKE_CXX_STANDARD commands in cmake scripts

---
 .../demo/Arrangement_on_surface_2/CMakeLists.txt              | 3 ---
 Minkowski_sum_2/test/Minkowski_sum_2/CMakeLists.txt           | 4 ----
 Polyhedron/demo/Polyhedron/CMakeLists.txt                     | 4 ----
 .../examples/Set_movable_separability_2/CMakeLists.txt        | 3 ---
 .../test/Set_movable_separability_2/CMakeLists.txt            | 3 ---
 Shape_detection/benchmark/Shape_detection/CMakeLists.txt      | 2 --
 Shape_detection/examples/Shape_detection/CMakeLists.txt       | 2 --
 Shape_detection/test/Shape_detection/CMakeLists.txt           | 2 --
 8 files changed, 23 deletions(-)

diff --git a/Arrangement_on_surface_2/demo/Arrangement_on_surface_2/CMakeLists.txt b/Arrangement_on_surface_2/demo/Arrangement_on_surface_2/CMakeLists.txt
index 9d17f95361a..91b9ed0b08b 100644
--- a/Arrangement_on_surface_2/demo/Arrangement_on_surface_2/CMakeLists.txt
+++ b/Arrangement_on_surface_2/demo/Arrangement_on_surface_2/CMakeLists.txt
@@ -3,9 +3,6 @@
 cmake_minimum_required(VERSION 3.1...3.15)
 project(Arrangement_on_surface_2_Demo)
 
-set(CMAKE_CXX_STANDARD 14)
-set(CMAKE_CXX_STANDARD_REQUIRED TRUE)
-
 if(NOT POLICY CMP0070 AND POLICY CMP0053)
   # Only set CMP0053 to OLD with CMake<3.10, otherwise there is a warning.
   cmake_policy(SET CMP0053 OLD)
diff --git a/Minkowski_sum_2/test/Minkowski_sum_2/CMakeLists.txt b/Minkowski_sum_2/test/Minkowski_sum_2/CMakeLists.txt
index 831697fb97a..295d50fdbc2 100644
--- a/Minkowski_sum_2/test/Minkowski_sum_2/CMakeLists.txt
+++ b/Minkowski_sum_2/test/Minkowski_sum_2/CMakeLists.txt
@@ -11,10 +11,6 @@ project(Minkowski_sum_2_Tests)
 #   return()
 # endif()
 
-# # Use C++11 for this directory and its sub-directories.
-# set(CMAKE_CXX_STANDARD 11)
-# set(CMAKE_CXX_STANDARD_REQUIRED TRUE)
-
 find_package(CGAL REQUIRED COMPONENTS Core)
 
 include(${CGAL_USE_FILE})
diff --git a/Polyhedron/demo/Polyhedron/CMakeLists.txt b/Polyhedron/demo/Polyhedron/CMakeLists.txt
index a9fb73257da..9de69df0b92 100644
--- a/Polyhedron/demo/Polyhedron/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/CMakeLists.txt
@@ -16,10 +16,6 @@ if(has_cpp11 LESS 0)
   return()
 endif()
 
-# Use C++11 for this directory and its sub-directories.
-set(CMAKE_CXX_STANDARD 11)
-set(CMAKE_CXX_STANDARD_REQUIRED TRUE)
-
 #Defines flags to emulate windows behavior for linking error generation
 if(CMAKE_CXX_COMPILER_ID EQUAL Clang
    OR CMAKE_COMPILER_IS_GNUCC
diff --git a/Set_movable_separability_2/examples/Set_movable_separability_2/CMakeLists.txt b/Set_movable_separability_2/examples/Set_movable_separability_2/CMakeLists.txt
index dc42d213320..1ee57d6555d 100644
--- a/Set_movable_separability_2/examples/Set_movable_separability_2/CMakeLists.txt
+++ b/Set_movable_separability_2/examples/Set_movable_separability_2/CMakeLists.txt
@@ -13,9 +13,6 @@ if(has_cpp11 LESS 0)
   return()
 endif()
 
-# Use C++11 for this directory and its sub-directories.
-set(CMAKE_CXX_STANDARD 11)
-set(CMAKE_CXX_STANDARD_REQUIRED TRUE)
 
 find_package(CGAL REQUIRED)
 
diff --git a/Set_movable_separability_2/test/Set_movable_separability_2/CMakeLists.txt b/Set_movable_separability_2/test/Set_movable_separability_2/CMakeLists.txt
index bdfe6863ec3..93b6cedc5c6 100644
--- a/Set_movable_separability_2/test/Set_movable_separability_2/CMakeLists.txt
+++ b/Set_movable_separability_2/test/Set_movable_separability_2/CMakeLists.txt
@@ -20,9 +20,6 @@ if(has_cpp11 LESS 0)
   return()
 endif()
 
-# Use C++11 for this directory and its sub-directories.
-set(CMAKE_CXX_STANDARD 11)
-set(CMAKE_CXX_STANDARD_REQUIRED TRUE)
 
 find_package(CGAL REQUIRED)
 
diff --git a/Shape_detection/benchmark/Shape_detection/CMakeLists.txt b/Shape_detection/benchmark/Shape_detection/CMakeLists.txt
index 359f4c43c9c..ed3a3691f64 100644
--- a/Shape_detection/benchmark/Shape_detection/CMakeLists.txt
+++ b/Shape_detection/benchmark/Shape_detection/CMakeLists.txt
@@ -4,8 +4,6 @@
 cmake_minimum_required(VERSION 3.1...3.15)
 project(Shape_detection_Benchmarks)
 
-set(CMAKE_CXX_STANDARD 11)
-
 find_package(CGAL REQUIRED COMPONENTS Core)
 
 include(${CGAL_USE_FILE})
diff --git a/Shape_detection/examples/Shape_detection/CMakeLists.txt b/Shape_detection/examples/Shape_detection/CMakeLists.txt
index 2bf4b6dfbe7..bebfffaafbd 100644
--- a/Shape_detection/examples/Shape_detection/CMakeLists.txt
+++ b/Shape_detection/examples/Shape_detection/CMakeLists.txt
@@ -4,8 +4,6 @@
 cmake_minimum_required(VERSION 3.1...3.15)
 project(Shape_detection_Examples)
 
-set(CMAKE_CXX_STANDARD 11)
-
 find_package(CGAL REQUIRED COMPONENTS Core)
 
 include(${CGAL_USE_FILE})
diff --git a/Shape_detection/test/Shape_detection/CMakeLists.txt b/Shape_detection/test/Shape_detection/CMakeLists.txt
index fbbfad50b4a..82ec5d66487 100644
--- a/Shape_detection/test/Shape_detection/CMakeLists.txt
+++ b/Shape_detection/test/Shape_detection/CMakeLists.txt
@@ -4,8 +4,6 @@
 cmake_minimum_required(VERSION 3.1...3.15)
 project(Shape_detection_Tests)
 
-set(CMAKE_CXX_STANDARD 11)
-
 find_package(CGAL REQUIRED COMPONENTS Core)
 
 include(${CGAL_USE_FILE})

From 0eae59b8cd650fa995b8c9905abb30e4a2c89625 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 9 Feb 2021 09:58:12 +0100
Subject: [PATCH 292/317] Add tests for the demo

---
 .github/test.sh            | 13 +++++++++++++
 .github/workflows/demo.yml | 37 +++++++++++++++++++++++++++++++++++++
 2 files changed, 50 insertions(+)
 create mode 100755 .github/test.sh
 create mode 100644 .github/workflows/demo.yml

diff --git a/.github/test.sh b/.github/test.sh
new file mode 100755
index 00000000000..a744f6d5b08
--- /dev/null
+++ b/.github/test.sh
@@ -0,0 +1,13 @@
+#!/bin/bash
+/usr/local/bin/cmake --version
+FACTOR=$1
+set -ex
+cd Polyhedron/demo
+LIST_OF_PLUGINS=$(/usr/local/bin/cmake --build . -t help | egrep 'plugin$' |& cut -d\  -f2)
+PLUGINS_ARRAY=(${LIST_OF_PLUGINS});
+NB_OF_PLUGINS=${#PLUGINS_ARRAY[@]}
+DEL=$(($NB_OF_PLUGINS / 4))
+mkdir build
+cd build
+/usr/local/bin/cmake -DCGAL_DIR=$2 ../Polyhedron
+make -j2 ${PLUGINS_ARRAY[@]:$(($FACTOR * $DEL)):$((($FACTOR + 1) * $DEL))}
diff --git a/.github/workflows/demo.yml b/.github/workflows/demo.yml
new file mode 100644
index 00000000000..7d3a31bfd49
--- /dev/null
+++ b/.github/workflows/demo.yml
@@ -0,0 +1,37 @@
+name: Test Polyhedron Demo
+
+on: [push, pull_request]
+
+jobs:
+  batch_1:
+    runs-on: ubuntu-latest
+    steps:
+    - uses: actions/checkout@v2.0.0
+    - name: install dependencies
+      run: .github/install.sh
+    - name: run1
+      run: ./.github/test.sh 0 ${{ github.workspace }}
+  batch_2:
+    runs-on: ubuntu-latest
+    steps:
+    - uses: actions/checkout@v2.0.0
+    - name: install dependencies
+      run: .github/install.sh
+    - name: run2
+      run: ./.github/test.sh 1 ${{ github.workspace }}
+  batch_3:
+    runs-on: ubuntu-latest
+    steps:
+    - uses: actions/checkout@v2.0.0
+    - name: install dependencies
+      run: .github/install.sh
+    - name: run3
+      run: ./.github/test.sh 2 ${{ github.workspace }}
+  batch_4:
+    runs-on: ubuntu-latest
+    steps:
+    - uses: actions/checkout@v2.0.0
+    - name: install dependencies
+      run: .github/install.sh
+    - name: run4
+      run: ./.github/test.sh 3 ${{ github.workspace }}

From 9cd0d450f9df991172ef4b0499730846a54f085b Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 9 Feb 2021 11:31:34 +0100
Subject: [PATCH 293/317] Remove QDomElements and need for QtXml

---
 AABB_tree/demo/AABB_tree/CMakeLists.txt       |   4 +-
 .../demo/Alpha_shapes_3/CMakeLists.txt        |   2 +-
 .../demo/Circular_kernel_3/CMakeLists.txt     |   2 +-
 .../demo/Alpha_shapes_2/CMakeLists.txt        |   2 +-
 .../demo/Apollonius_graph_2/CMakeLists.txt    |   2 +-
 .../demo/Bounding_volumes/CMakeLists.txt      |   2 +-
 .../demo/Circular_kernel_2/CMakeLists.txt     |   2 +-
 GraphicsView/demo/Generator/CMakeLists.txt    |   2 +-
 GraphicsView/demo/GraphicsView/CMakeLists.txt |   2 +-
 .../demo/L1_Voronoi_diagram_2/CMakeLists.txt  |   2 +-
 .../demo/Largest_empty_rect_2/CMakeLists.txt  |   2 +-
 .../Periodic_2_triangulation_2/CMakeLists.txt |   2 +-
 GraphicsView/demo/Polygon/CMakeLists.txt      |   2 +-
 .../Segment_Delaunay_graph_2/CMakeLists.txt   |   2 +-
 .../CMakeLists.txt                            |   2 +-
 .../demo/Snap_rounding_2/CMakeLists.txt       |   2 +-
 .../demo/Spatial_searching_2/CMakeLists.txt   |   2 +-
 .../demo/Stream_lines_2/CMakeLists.txt        |   2 +-
 GraphicsView/include/CGAL/Qt/camera.h         |  10 -
 GraphicsView/include/CGAL/Qt/camera_impl.h    | 149 --------
 GraphicsView/include/CGAL/Qt/domUtils.h       | 183 ---------
 GraphicsView/include/CGAL/Qt/frame.h          |   8 -
 GraphicsView/include/CGAL/Qt/frame_impl.h     |  62 ----
 .../include/CGAL/Qt/keyFrameInterpolator.h    |   8 -
 .../CGAL/Qt/keyFrameInterpolator_impl.h       |  80 ----
 .../include/CGAL/Qt/manipulatedCameraFrame.h  |   9 -
 .../CGAL/Qt/manipulatedCameraFrame_impl.h     |  63 ----
 .../include/CGAL/Qt/manipulatedFrame.h        |   9 -
 .../include/CGAL/Qt/manipulatedFrame_impl.h   |  65 ----
 GraphicsView/include/CGAL/Qt/qglviewer.h      |   3 -
 GraphicsView/include/CGAL/Qt/qglviewer_impl.h | 346 +-----------------
 GraphicsView/include/CGAL/Qt/quaternion.h     |   6 -
 .../include/CGAL/Qt/quaternion_impl.h         |  65 ----
 GraphicsView/include/CGAL/Qt/vec.h            |   8 -
 GraphicsView/include/CGAL/Qt/vec_impl.h       |  94 -----
 Installation/CMakeLists.txt                   |   6 +-
 .../demo/Linear_cell_complex/CMakeLists.txt   |   2 +-
 .../Periodic_3_triangulation_3/CMakeLists.txt |   2 +-
 .../demo/Periodic_Lloyd_3/CMakeLists.txt      |   2 +-
 Polyhedron/demo/Polyhedron/CMakeLists.txt     |   2 +-
 .../Plugins/Three_examples/CMakeLists.txt     |   2 +-
 .../Polyline_simplification_2/CMakeLists.txt  |   2 +-
 .../CMakeLists.txt                            |   2 +-
 .../demo/Surface_mesher/CMakeLists.txt        |   4 +-
 .../demo/Triangulation_3/CMakeLists.txt       |   4 +-
 45 files changed, 33 insertions(+), 1201 deletions(-)
 delete mode 100644 GraphicsView/include/CGAL/Qt/domUtils.h

diff --git a/AABB_tree/demo/AABB_tree/CMakeLists.txt b/AABB_tree/demo/AABB_tree/CMakeLists.txt
index 7c006dec292..4ee33e3e45f 100644
--- a/AABB_tree/demo/AABB_tree/CMakeLists.txt
+++ b/AABB_tree/demo/AABB_tree/CMakeLists.txt
@@ -23,7 +23,7 @@ include_directories(BEFORE ./ ./include)
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
 # Find Qt5 itself
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Gui Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Gui Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
@@ -54,7 +54,7 @@ if(CGAL_Qt5_FOUND AND Qt5_FOUND)
     #${CGAL_Qt5_MOC_FILES}
   )
   # Link with Qt libraries
-  target_link_libraries(AABB_demo PRIVATE Qt5::OpenGL Qt5::Gui Qt5::Xml
+  target_link_libraries(AABB_demo PRIVATE Qt5::OpenGL Qt5::Gui
                                           CGAL::CGAL CGAL::CGAL_Qt5)
 
   add_to_cached_list(CGAL_EXECUTABLE_TARGETS AABB_demo)
diff --git a/Alpha_shapes_3/demo/Alpha_shapes_3/CMakeLists.txt b/Alpha_shapes_3/demo/Alpha_shapes_3/CMakeLists.txt
index ede9b5e1367..4c7ecd50b4e 100644
--- a/Alpha_shapes_3/demo/Alpha_shapes_3/CMakeLists.txt
+++ b/Alpha_shapes_3/demo/Alpha_shapes_3/CMakeLists.txt
@@ -18,7 +18,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/CMakeLists.txt b/Circular_kernel_3/demo/Circular_kernel_3/CMakeLists.txt
index 78bf951d49a..3df4da89e33 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/CMakeLists.txt
+++ b/Circular_kernel_3/demo/Circular_kernel_3/CMakeLists.txt
@@ -12,7 +12,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/GraphicsView/demo/Alpha_shapes_2/CMakeLists.txt b/GraphicsView/demo/Alpha_shapes_2/CMakeLists.txt
index d4cf857a00e..c1f805372c6 100644
--- a/GraphicsView/demo/Alpha_shapes_2/CMakeLists.txt
+++ b/GraphicsView/demo/Alpha_shapes_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 include_directories(BEFORE ./include)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
diff --git a/GraphicsView/demo/Apollonius_graph_2/CMakeLists.txt b/GraphicsView/demo/Apollonius_graph_2/CMakeLists.txt
index 908428488e8..9898f7c0a7a 100644
--- a/GraphicsView/demo/Apollonius_graph_2/CMakeLists.txt
+++ b/GraphicsView/demo/Apollonius_graph_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
   add_definitions(-DQT_NO_KEYWORDS)
diff --git a/GraphicsView/demo/Bounding_volumes/CMakeLists.txt b/GraphicsView/demo/Bounding_volumes/CMakeLists.txt
index c0a12b255fc..af8b531f4b8 100644
--- a/GraphicsView/demo/Bounding_volumes/CMakeLists.txt
+++ b/GraphicsView/demo/Bounding_volumes/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 include_directories(BEFORE ./include)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
diff --git a/GraphicsView/demo/Circular_kernel_2/CMakeLists.txt b/GraphicsView/demo/Circular_kernel_2/CMakeLists.txt
index 99ddd23a398..279535431fa 100644
--- a/GraphicsView/demo/Circular_kernel_2/CMakeLists.txt
+++ b/GraphicsView/demo/Circular_kernel_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
   add_definitions(-DQT_NO_KEYWORDS)
diff --git a/GraphicsView/demo/Generator/CMakeLists.txt b/GraphicsView/demo/Generator/CMakeLists.txt
index e7e4e3afc16..8b1cce296ed 100644
--- a/GraphicsView/demo/Generator/CMakeLists.txt
+++ b/GraphicsView/demo/Generator/CMakeLists.txt
@@ -14,7 +14,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/GraphicsView/demo/GraphicsView/CMakeLists.txt b/GraphicsView/demo/GraphicsView/CMakeLists.txt
index 6fec9bd067b..8b4f82c65df 100644
--- a/GraphicsView/demo/GraphicsView/CMakeLists.txt
+++ b/GraphicsView/demo/GraphicsView/CMakeLists.txt
@@ -14,7 +14,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/GraphicsView/demo/L1_Voronoi_diagram_2/CMakeLists.txt b/GraphicsView/demo/L1_Voronoi_diagram_2/CMakeLists.txt
index dd3ecf5491a..4fc20a4c8da 100644
--- a/GraphicsView/demo/L1_Voronoi_diagram_2/CMakeLists.txt
+++ b/GraphicsView/demo/L1_Voronoi_diagram_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 include_directories(BEFORE ./include)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
diff --git a/GraphicsView/demo/Largest_empty_rect_2/CMakeLists.txt b/GraphicsView/demo/Largest_empty_rect_2/CMakeLists.txt
index c7cda2cb1b6..cb8f1dea52c 100644
--- a/GraphicsView/demo/Largest_empty_rect_2/CMakeLists.txt
+++ b/GraphicsView/demo/Largest_empty_rect_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/GraphicsView/demo/Periodic_2_triangulation_2/CMakeLists.txt b/GraphicsView/demo/Periodic_2_triangulation_2/CMakeLists.txt
index 4d75fc2dcbc..d52af8a768d 100644
--- a/GraphicsView/demo/Periodic_2_triangulation_2/CMakeLists.txt
+++ b/GraphicsView/demo/Periodic_2_triangulation_2/CMakeLists.txt
@@ -12,7 +12,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 include_directories(BEFORE ./include)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
diff --git a/GraphicsView/demo/Polygon/CMakeLists.txt b/GraphicsView/demo/Polygon/CMakeLists.txt
index 4ea9ebf497c..67d2b2ed983 100644
--- a/GraphicsView/demo/Polygon/CMakeLists.txt
+++ b/GraphicsView/demo/Polygon/CMakeLists.txt
@@ -25,7 +25,7 @@ if(NOT TARGET CGAL::Eigen3_support)
   return()
 endif()
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
   include(${CGAL_USE_FILE})
diff --git a/GraphicsView/demo/Segment_Delaunay_graph_2/CMakeLists.txt b/GraphicsView/demo/Segment_Delaunay_graph_2/CMakeLists.txt
index 5a22d88a978..033b647dc34 100644
--- a/GraphicsView/demo/Segment_Delaunay_graph_2/CMakeLists.txt
+++ b/GraphicsView/demo/Segment_Delaunay_graph_2/CMakeLists.txt
@@ -20,7 +20,7 @@ set(QT_USE_QTMAIN TRUE)
 set(QT_USE_QTSCRIPT TRUE)
 set(QT_USE_QTOPENGL TRUE)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 include_directories(BEFORE ./include)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
diff --git a/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/CMakeLists.txt b/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/CMakeLists.txt
index 46723a27011..45bedf14c38 100644
--- a/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/CMakeLists.txt
+++ b/GraphicsView/demo/Segment_Delaunay_graph_Linf_2/CMakeLists.txt
@@ -20,7 +20,7 @@ set(QT_USE_QTMAIN TRUE)
 set(QT_USE_QTSCRIPT TRUE)
 set(QT_USE_QTOPENGL TRUE)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 include_directories(BEFORE ./include)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
diff --git a/GraphicsView/demo/Snap_rounding_2/CMakeLists.txt b/GraphicsView/demo/Snap_rounding_2/CMakeLists.txt
index c4092df8007..34069835976 100644
--- a/GraphicsView/demo/Snap_rounding_2/CMakeLists.txt
+++ b/GraphicsView/demo/Snap_rounding_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
   set(CMAKE_AUTOMOC ON)
diff --git a/GraphicsView/demo/Spatial_searching_2/CMakeLists.txt b/GraphicsView/demo/Spatial_searching_2/CMakeLists.txt
index 6ff2a9bacae..dd4ac996e12 100644
--- a/GraphicsView/demo/Spatial_searching_2/CMakeLists.txt
+++ b/GraphicsView/demo/Spatial_searching_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/GraphicsView/demo/Stream_lines_2/CMakeLists.txt b/GraphicsView/demo/Stream_lines_2/CMakeLists.txt
index 2c5c3c33005..5ae748db9d1 100644
--- a/GraphicsView/demo/Stream_lines_2/CMakeLists.txt
+++ b/GraphicsView/demo/Stream_lines_2/CMakeLists.txt
@@ -15,7 +15,7 @@ endif()
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/GraphicsView/include/CGAL/Qt/camera.h b/GraphicsView/include/CGAL/Qt/camera.h
index 96a88574e51..bda76bafb05 100644
--- a/GraphicsView/include/CGAL/Qt/camera.h
+++ b/GraphicsView/include/CGAL/Qt/camera.h
@@ -14,7 +14,6 @@
 #ifndef QGLVIEWER_CAMERA_H
 #define QGLVIEWER_CAMERA_H
 #include <QMap>
-#include <QDomElement>
 #include <CGAL/Qt/vec.h>
 #include <CGAL/Qt/quaternion.h>
 #include <CGAL/export/Qt.h>
@@ -435,15 +434,6 @@ public Q_SLOTS:
   void setFlySpeed(qreal speed);
   //@}
 
-  /*! @name XML representation */
-  //@{
-public:
-  virtual QDomElement domElement(const QString &name,
-                                 QDomDocument &document) const;
-public Q_SLOTS:
-  virtual void initFromDOMElement(const QDomElement &element);
-  //@}
-
 private Q_SLOTS:
   void onFrameModified();
 
diff --git a/GraphicsView/include/CGAL/Qt/camera_impl.h b/GraphicsView/include/CGAL/Qt/camera_impl.h
index d79ce8af56d..7321b58a0c7 100644
--- a/GraphicsView/include/CGAL/Qt/camera_impl.h
+++ b/GraphicsView/include/CGAL/Qt/camera_impl.h
@@ -45,7 +45,6 @@ Camera::Camera(QObject *parent)
   // Requires the interpolationKfi_
   setFrame(new ManipulatedCameraFrame());
 
-  // #CONNECTION# All these default values identical in initFromDOMElement.
 
   // Requires fieldOfView() to define focusDistance()
   setSceneRadius(1.0);
@@ -61,7 +60,6 @@ Camera::Camera(QObject *parent)
   // projectionMatrix_ below.
   setType(PERSPECTIVE);
 
-  // #CONNECTION# initFromDOMElement default values
   setZNearCoefficient(0.005);
   setZClippingCoefficient(sqrt(3.0));
 
@@ -2016,153 +2014,6 @@ void Camera::deletePath(unsigned int i) {
 
 ////////////////////////////////////////////////////////////////////////////////
 
-/*! Returns an XML \c QDomElement that represents the Camera.
-
- \p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
- factory used to create QDomElement.
-
- Concatenates the Camera parameters, the ManipulatedCameraFrame::domElement()
- and the paths' KeyFrameInterpolator::domElement().
-
- Use initFromDOMElement() to restore the Camera state from the resulting \c
- QDomElement.
-
- If you want to save the Camera state in a file, use:
- \code
-  QDomDocument document("myCamera");
-  doc.appendChild( myCamera->domElement("Camera", document) );
-
-  QFile f("myCamera.xml");
-  if (f.open(IO_WriteOnly))
-  {
-    QTextStream out(&f);
-    document.save(out, 2);
-  }
- \endcode
-
- Note that the CGAL::QGLViewer::camera() is automatically saved by
- CGAL::QGLViewer::saveStateToFile() when a CGAL::QGLViewer is closed. Use
- CGAL::QGLViewer::restoreStateFromFile() to restore it back. */
-CGAL_INLINE_FUNCTION
-QDomElement Camera::domElement(const QString &name,
-                               QDomDocument &document) const {
-  QDomElement de = document.createElement(name);
-  QDomElement paramNode = document.createElement("Parameters");
-  paramNode.setAttribute("fieldOfView", QString::number(fieldOfView()));
-  paramNode.setAttribute("zNearCoefficient",
-                         QString::number(zNearCoefficient()));
-  paramNode.setAttribute("zClippingCoefficient",
-                         QString::number(zClippingCoefficient()));
-  paramNode.setAttribute("orthoCoef", QString::number(orthoCoef_));
-  paramNode.setAttribute("sceneRadius", QString::number(sceneRadius()));
-  paramNode.appendChild(sceneCenter().domElement("SceneCenter", document));
-
-  switch (type()) {
-  case Camera::PERSPECTIVE:
-    paramNode.setAttribute("Type", "PERSPECTIVE");
-    break;
-  case Camera::ORTHOGRAPHIC:
-    paramNode.setAttribute("Type", "ORTHOGRAPHIC");
-    break;
-  }
-  de.appendChild(paramNode);
-
-    de.appendChild(frame()->domElement("ManipulatedCameraFrame", document));
-
-  // KeyFrame paths
-  for (QMap<unsigned int, KeyFrameInterpolator *>::ConstIterator
-           it = kfi_.begin(),
-           end = kfi_.end();
-       it != end; ++it) {
-    QDomElement kfNode =
-        (it.value())->domElement("KeyFrameInterpolator", document);
-    kfNode.setAttribute("index", QString::number(it.key()));
-    de.appendChild(kfNode);
-  }
-
-  return de;
-}
-
-/*! Restores the Camera state from a \c QDomElement created by domElement().
-
- Use the following code to retrieve a Camera state from a file created using
- domElement(): \code
- // Load DOM from file
- QDomDocument document;
- QFile f("myCamera.xml");
- if (f.open(IO_ReadOnly))
- {
-   document.setContent(&f);
-   f.close();
- }
-
- // Parse the DOM tree
- QDomElement main = document.documentElement();
- myCamera->initFromDOMElement(main);
- \endcode
-
- The frame() pointer is not modified by this method. The frame() state is
- however modified.
-
- \attention The original keyFrameInterpolator() are deleted and should be copied
- first if they are shared. */
-CGAL_INLINE_FUNCTION
-void Camera::initFromDOMElement(const QDomElement &element) {
-  QDomElement child = element.firstChild().toElement();
-
-  QMutableMapIterator<unsigned int, KeyFrameInterpolator *> it(kfi_);
-  while (it.hasNext()) {
-    it.next();
-    deletePath(it.key());
-  }
-
-  while (!child.isNull()) {
-    if (child.tagName() == "Parameters") {
-      // #CONNECTION# Default values set in constructor
-      //setFieldOfView(DomUtils::qrealFromDom(child, "fieldOfView", CGAL_PI / 4.0));
-      setZNearCoefficient(
-          DomUtils::qrealFromDom(child, "zNearCoefficient", 0.005));
-      setZClippingCoefficient(
-          DomUtils::qrealFromDom(child, "zClippingCoefficient", sqrt(3.0)));
-      orthoCoef_ =
-          DomUtils::qrealFromDom(child, "orthoCoef", tan(fieldOfView() / 2.0));
-      setSceneRadius(
-          DomUtils::qrealFromDom(child, "sceneRadius", sceneRadius()));
-
-      setType(PERSPECTIVE);
-      QString type = child.attribute("Type", "PERSPECTIVE");
-      if (type == "PERSPECTIVE")
-        setType(Camera::PERSPECTIVE);
-      if (type == "ORTHOGRAPHIC")
-        setType(Camera::ORTHOGRAPHIC);
-
-      QDomElement child2 = child.firstChild().toElement();
-      while (!child2.isNull()) {
-        /* Although the scene does not change when a camera is loaded, restore
-       the saved center and radius values. Mainly useful when a the viewer is
-       restored on startup, with possible additional cameras. */
-        if (child2.tagName() == "SceneCenter")
-          setSceneCenter(Vec(child2));
-
-        child2 = child2.nextSibling().toElement();
-      }
-    }
-
-    if (child.tagName() == "ManipulatedCameraFrame")
-      frame()->initFromDOMElement(child);
-
-
-    if (child.tagName() == "KeyFrameInterpolator") {
-      unsigned int index = DomUtils::uintFromDom(child, "index", 0);
-      setKeyFrameInterpolator(index, new KeyFrameInterpolator(frame()));
-      if (keyFrameInterpolator(index))
-        keyFrameInterpolator(index)->initFromDOMElement(child);
-    }
-
-    child = child.nextSibling().toElement();
-  }
-}
-
 /*! Gives the coefficients of a 3D half-line passing through the Camera eye and
  pixel (x,y).
 
diff --git a/GraphicsView/include/CGAL/Qt/domUtils.h b/GraphicsView/include/CGAL/Qt/domUtils.h
deleted file mode 100644
index 36e2e69b803..00000000000
--- a/GraphicsView/include/CGAL/Qt/domUtils.h
+++ /dev/null
@@ -1,183 +0,0 @@
-/****************************************************************************
-
- Copyright (c) 2018  GeometryFactory Sarl (France).
- Copyright (C) 2002-2014 Gilles Debunne. All rights reserved.
-
- This file is part of a fork of the QGLViewer library version 2.7.0.
-
-*****************************************************************************/
-// $URL$
-// $Id$
-// SPDX-License-Identifier: GPL-3.0-only
-#ifndef QGLVIEWER_DOMUTILS_H
-#define QGLVIEWER_DOMUTILS_H
-#include <qglobal.h>
-#include <QColor>
-#include <QDomElement>
-#include <QString>
-#include <QStringList>
-
-#include <math.h>
-
-#ifndef DOXYGEN
-
-// QDomElement loading with syntax checking.
-class DomUtils {
-private:
-  static void warning(const QString &message) {
-    qWarning("%s", message.toLatin1().constData());
-  }
-
-public:
-  static qreal qrealFromDom(const QDomElement &e, const QString &attribute,
-                            qreal defValue) {
-    qreal value = defValue;
-    if (e.hasAttribute(attribute)) {
-      const QString s = e.attribute(attribute);
-      bool ok;
-      value = s.toDouble(&ok);
-      if (!ok) {
-        warning(QString("'%1' is not a valid qreal syntax for attribute \"%2\" "
-                        "in initialization of \"%3\". Setting value to %4.")
-                    .arg(s)
-                    .arg(attribute)
-                    .arg(e.tagName())
-                    .arg(QString::number(defValue)));
-        value = defValue;
-      }
-    } else {
-      warning(QString("\"%1\" attribute missing in initialization of \"%2\". "
-                      "Setting value to %3.")
-                  .arg(attribute)
-                  .arg(e.tagName())
-                  .arg(QString::number(value)));
-    }
-
-#if defined(isnan)
-    // The "isnan" method may not be available on all platforms.
-    // Find its equivalent or simply remove these two lines
-    if (isnan(value))
-      warning(
-          QString(
-              "Warning, attribute \"%1\" initialized to Not a Number in \"%2\"")
-              .arg(attribute)
-              .arg(e.tagName()));
-#endif
-
-    return value;
-  }
-
-  static int intFromDom(const QDomElement &e, const QString &attribute,
-                        int defValue) {
-    int value = defValue;
-    if (e.hasAttribute(attribute)) {
-      const QString s = e.attribute(attribute);
-      bool ok;
-      value = s.toInt(&ok);
-      if (!ok) {
-        warning(
-            QString("'%1' is not a valid integer syntax for attribute \"%2\" "
-                    "in initialization of \"%3\". Setting value to %4.")
-                .arg(s)
-                .arg(attribute)
-                .arg(e.tagName())
-                .arg(QString::number(defValue)));
-        value = defValue;
-      }
-    } else {
-      warning(QString("\"%1\" attribute missing in initialization of \"%2\". "
-                      "Setting value to %3.")
-                  .arg(attribute)
-                  .arg(e.tagName())
-                  .arg(QString::number(value)));
-    }
-
-    return value;
-  }
-
-  static unsigned int uintFromDom(const QDomElement &e,
-                                  const QString &attribute,
-                                  unsigned int defValue) {
-    unsigned int value = defValue;
-    if (e.hasAttribute(attribute)) {
-      const QString s = e.attribute(attribute);
-      bool ok;
-      value = s.toUInt(&ok);
-      if (!ok) {
-        warning(
-            QString("'%1' is not a valid unsigned integer syntax for attribute "
-                    "\"%2\" in initialization of \"%3\". Setting value to %4.")
-                .arg(s)
-                .arg(attribute)
-                .arg(e.tagName())
-                .arg(QString::number(defValue)));
-        value = defValue;
-      }
-    } else {
-      warning(QString("\"%1\" attribute missing in initialization of \"%2\". "
-                      "Setting value to %3.")
-                  .arg(attribute)
-                  .arg(e.tagName())
-                  .arg(QString::number(value)));
-    }
-
-    return value;
-  }
-
-  static bool boolFromDom(const QDomElement &e, const QString &attribute,
-                          bool defValue) {
-    bool value = defValue;
-    if (e.hasAttribute(attribute)) {
-      const QString s = e.attribute(attribute);
-      if (s.toLower() == QString("true"))
-        value = true;
-      else if (s.toLower() == QString("false"))
-        value = false;
-      else {
-        warning(
-            QString("'%1' is not a valid boolean syntax for attribute \"%2\" "
-                    "in initialization of \"%3\". Setting value to %4.")
-                .arg(s)
-                .arg(attribute)
-                .arg(e.tagName())
-                .arg(defValue ? "true" : "false"));
-      }
-    } else {
-      warning(QString("\"%1\" attribute missing in initialization of \"%2\". "
-                      "Setting value to %3.")
-                  .arg(attribute)
-                  .arg(e.tagName())
-                  .arg(value ? "true" : "false"));
-    }
-
-    return value;
-  }
-
-  static void setBoolAttribute(QDomElement &element, const QString &attribute,
-                               bool value) {
-    element.setAttribute(attribute, (value ? "true" : "false"));
-  }
-
-  static QDomElement QColorDomElement(const QColor &color, const QString &name,
-                                      QDomDocument &doc) {
-    QDomElement de = doc.createElement(name);
-    de.setAttribute("red", QString::number(color.red()));
-    de.setAttribute("green", QString::number(color.green()));
-    de.setAttribute("blue", QString::number(color.blue()));
-    return de;
-  }
-
-  static QColor QColorFromDom(const QDomElement &e) {
-    int color[3];
-    QStringList attribute;
-    attribute << "red"
-              << "green"
-              << "blue";
-    for (int i = 0; i < attribute.count(); ++i)
-      color[i] = DomUtils::intFromDom(e, attribute[i], 0);
-    return QColor(color[0], color[1], color[2]);
-  }
-};
-
-#endif // DOXYGEN
-#endif //QGLVIEWER_DOMUTILS_H
diff --git a/GraphicsView/include/CGAL/Qt/frame.h b/GraphicsView/include/CGAL/Qt/frame.h
index 7bf7a31eda8..23110350fce 100644
--- a/GraphicsView/include/CGAL/Qt/frame.h
+++ b/GraphicsView/include/CGAL/Qt/frame.h
@@ -425,14 +425,6 @@ public:
   }
   //@}
 
-  /*! @name XML representation */
-  //@{
-public:
-  virtual QDomElement domElement(const QString &name,
-                                 QDomDocument &document) const;
-public Q_SLOTS:
-  virtual void initFromDOMElement(const QDomElement &element);
-  //@}
 
 private:
   // P o s i t i o n   a n d   o r i e n t a t i o n
diff --git a/GraphicsView/include/CGAL/Qt/frame_impl.h b/GraphicsView/include/CGAL/Qt/frame_impl.h
index 2f5e925fa72..9ba5bfc5941 100644
--- a/GraphicsView/include/CGAL/Qt/frame_impl.h
+++ b/GraphicsView/include/CGAL/Qt/frame_impl.h
@@ -999,68 +999,6 @@ void Frame::getTransformOfFrom(const qreal src[3], qreal res[3],
     res[i] = r[i];
 }
 
-////////////////////////////      STATE      //////////////////////////////
-
-/*! Returns an XML \c QDomElement that represents the Frame.
-
- \p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
- factory used to create QDomElement.
-
- The resulting QDomElement looks like:
- \code
- <name>
-   <position x=".." y=".." z=".." />
-   <orientation q0=".." q1=".." q2=".." q3=".." />
- </name>
- \endcode
-
- Use initFromDOMElement() to restore the Frame state from the resulting \c
- QDomElement.
-
-
- See Vec::domElement() for a complete example. See also
-
- Quaternion::domElement(), Camera::domElement()...
-
- \attention The constraint() and referenceFrame() are not saved in the
- QDomElement. */
-CGAL_INLINE_FUNCTION
-QDomElement Frame::domElement(const QString &name,
-                              QDomDocument &document) const {
-  // TODO: use translation and rotation instead when referenceFrame is coded...
-  QDomElement e = document.createElement(name);
-  e.appendChild(position().domElement("position", document));
-  e.appendChild(orientation().domElement("orientation", document));
-  return e;
-}
-
-/*! Restores the Frame state from a \c QDomElement created by domElement().
-
- See domElement() for the \c QDomElement syntax. See the
- Vec::initFromDOMElement() and Quaternion::initFromDOMElement() documentations
- for details on default values if an argument is missing.
-
- \attention The constraint() and referenceFrame() are not restored by this
- method and are left unchanged. */
-CGAL_INLINE_FUNCTION
-void Frame::initFromDOMElement(const QDomElement &element) {
-  // TODO: use translation and rotation instead when referenceFrame is coded...
-
-  // Reset default values. Attention: destroys constraint.
-  // *this = Frame();
-  // This instead ? Better : what is not set is not changed.
-  // setPositionAndOrientation(Vec(), Quaternion());
-
-  QDomElement child = element.firstChild().toElement();
-  while (!child.isNull()) {
-    if (child.tagName() == "position")
-      setPosition(Vec(child));
-    if (child.tagName() == "orientation")
-      setOrientation(Quaternion(child).normalized());
-
-    child = child.nextSibling().toElement();
-  }
-}
 
 /////////////////////////////////   ALIGN   /////////////////////////////////
 
diff --git a/GraphicsView/include/CGAL/Qt/keyFrameInterpolator.h b/GraphicsView/include/CGAL/Qt/keyFrameInterpolator.h
index 381ac37bad6..30b87fe0507 100644
--- a/GraphicsView/include/CGAL/Qt/keyFrameInterpolator.h
+++ b/GraphicsView/include/CGAL/Qt/keyFrameInterpolator.h
@@ -281,14 +281,6 @@ public Q_SLOTS:
   virtual void interpolateAtTime(qreal time);
   //@}
 
-  /*! @name XML representation */
-  //@{
-public:
-  virtual QDomElement domElement(const QString &name,
-                                 QDomDocument &document) const;
-  virtual void initFromDOMElement(const QDomElement &element);
-  //@}
-
 private Q_SLOTS:
   virtual void update();
   virtual void invalidateValues() {
diff --git a/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h b/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h
index 143a1b2175f..067aba57041 100644
--- a/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h
+++ b/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h
@@ -37,7 +37,6 @@ KeyFrameInterpolator::KeyFrameInterpolator(Frame *frame)
       interpolationSpeed_(1.0), interpolationStarted_(false),
       closedPath_(false), loopInterpolation_(false), pathIsValid_(false),
       valuesAreValid_(true), currentFrameValid_(false)
-// #CONNECTION# Values cut pasted initFromDOMElement()
 {
   setFrame(frame);
   for (int i = 0; i < 4; ++i)
@@ -458,85 +457,6 @@ void KeyFrameInterpolator::interpolateAtTime(qreal time) {
   Q_EMIT interpolated();
 }
 
-/*! Returns an XML \c QDomElement that represents the KeyFrameInterpolator.
-
- The resulting QDomElement holds the KeyFrameInterpolator parameters as well as
- the path keyFrames (if the keyFrame is defined by a pointer to a Frame, use its
- current value).
-
- \p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
- factory used to create QDomElement.
-
- Use initFromDOMElement() to restore the ManipulatedFrame state from the
- resulting QDomElement.
-
-
- See Vec::domElement() for a complete example. See also
- Quaternion::domElement(), Camera::domElement()...
-
- Note that the Camera::keyFrameInterpolator() are automatically saved by
- CGAL::QGLViewer::saveStateToFile() when a CGAL::QGLViewer is closed. */
-CGAL_INLINE_FUNCTION
-QDomElement KeyFrameInterpolator::domElement(const QString &name,
-                                             QDomDocument &document) const {
-  QDomElement de = document.createElement(name);
-  int count = 0;
-  Q_FOREACH (KeyFrame *kf, keyFrame_) {
-    Frame fr(kf->position(), kf->orientation());
-    QDomElement kfNode = fr.domElement("KeyFrame", document);
-    kfNode.setAttribute("index", QString::number(count));
-    kfNode.setAttribute("time", QString::number(kf->time()));
-    de.appendChild(kfNode);
-    ++count;
-  }
-  de.setAttribute("nbKF", QString::number(keyFrame_.count()));
-  de.setAttribute("time", QString::number(interpolationTime()));
-  de.setAttribute("speed", QString::number(interpolationSpeed()));
-  de.setAttribute("period", QString::number(interpolationPeriod()));
-  DomUtils::setBoolAttribute(de, "closedPath", closedPath());
-  DomUtils::setBoolAttribute(de, "loop", loopInterpolation());
-  return de;
-}
-
-/*! Restores the KeyFrameInterpolator state from a \c QDomElement created by
- domElement().
-
- Note that the frame() pointer is not included in the domElement(): you need to
- setFrame() after this method to attach a Frame to the KeyFrameInterpolator.
-
- See Vec::initFromDOMElement() for a complete code example.
-
- See also Camera::initFromDOMElement() and Frame::initFromDOMElement(). */
-CGAL_INLINE_FUNCTION
-void KeyFrameInterpolator::initFromDOMElement(const QDomElement &element) {
-  qDeleteAll(keyFrame_);
-  keyFrame_.clear();
-  QDomElement child = element.firstChild().toElement();
-  while (!child.isNull()) {
-    if (child.tagName() == "KeyFrame") {
-      Frame fr;
-      fr.initFromDOMElement(child);
-      qreal time = DomUtils::qrealFromDom(child, "time", 0.0);
-      addKeyFrame(fr, time);
-    }
-
-    child = child.nextSibling().toElement();
-  }
-
-  // #CONNECTION# Values cut pasted from constructor
-  setInterpolationTime(DomUtils::qrealFromDom(element, "time", 0.0));
-  setInterpolationSpeed(DomUtils::qrealFromDom(element, "speed", 1.0));
-  setInterpolationPeriod(DomUtils::intFromDom(element, "period", 40));
-  setClosedPath(DomUtils::boolFromDom(element, "closedPath", false));
-  setLoopInterpolation(DomUtils::boolFromDom(element, "loop", false));
-
-  // setFrame(nullptr);
-  pathIsValid_ = false;
-  valuesAreValid_ = false;
-  currentFrameValid_ = false;
-
-  stopInterpolation();
-}
 
 #ifndef DOXYGEN
 
diff --git a/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame.h b/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame.h
index a481686f55c..4b9a7b6c563 100644
--- a/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame.h
+++ b/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame.h
@@ -199,15 +199,6 @@ protected Q_SLOTS:
   virtual void spin();
   //@}
 
-  /*! @name XML representation */
-  //@{
-public:
-  virtual QDomElement domElement(const QString &name,
-                                 QDomDocument &document) const;
-public Q_SLOTS:
-  virtual void initFromDOMElement(const QDomElement &element);
-//@}
-
 #ifndef DOXYGEN
 protected:
   virtual void startAction(
diff --git a/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h b/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h
index c3cae0c5b71..ec959a4a986 100644
--- a/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h
+++ b/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h
@@ -117,69 +117,6 @@ void ManipulatedCameraFrame::updateSceneUpVector() {
   sceneUpVector_ = inverseTransformOf(Vec(0.0, 1.0, 0.0));
 }
 
-////////////////////////////////////////////////////////////////////////////////
-//          S t a t e   s a v i n g   a n d   r e s t o r i n g               //
-////////////////////////////////////////////////////////////////////////////////
-
-/*! Returns an XML \c QDomElement that represents the ManipulatedCameraFrame.
-
- Adds to the ManipulatedFrame::domElement() the ManipulatedCameraFrame specific
- informations in a \c ManipulatedCameraParameters child QDomElement.
-
- \p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
- factory used to create QDomElement.
-
- Use initFromDOMElement() to restore the ManipulatedCameraFrame state from the
- resulting \c QDomElement.
-
- See Vec::domElement() for a complete example. See also
- Quaternion::domElement(), Frame::domElement(), Camera::domElement()... */
-CGAL_INLINE_FUNCTION
-QDomElement ManipulatedCameraFrame::domElement(const QString &name,
-                                               QDomDocument &document) const {
-  QDomElement e = ManipulatedFrame::domElement(name, document);
-  QDomElement mcp = document.createElement("ManipulatedCameraParameters");
-  mcp.setAttribute("flySpeed", QString::number(flySpeed()));
-  DomUtils::setBoolAttribute(mcp, "rotatesAroundUpVector",
-                             rotatesAroundUpVector());
-  DomUtils::setBoolAttribute(mcp, "zoomsOnPivotPoint", zoomsOnPivotPoint());
-  mcp.appendChild(sceneUpVector().domElement("sceneUpVector", document));
-  e.appendChild(mcp);
-  return e;
-}
-
-/*! Restores the ManipulatedCameraFrame state from a \c QDomElement created by
-domElement().
-
-First calls ManipulatedFrame::initFromDOMElement() and then initializes
-ManipulatedCameraFrame specific parameters. */
-CGAL_INLINE_FUNCTION
-void ManipulatedCameraFrame::initFromDOMElement(const QDomElement &element) {
-  // No need to initialize, since default sceneUpVector and flySpeed are not
-  // meaningful. It's better to keep current ones. And it would destroy
-  // constraint() and referenceFrame(). *this = ManipulatedCameraFrame();
-  ManipulatedFrame::initFromDOMElement(element);
-
-  QDomElement child = element.firstChild().toElement();
-  while (!child.isNull()) {
-    if (child.tagName() == "ManipulatedCameraParameters") {
-      setFlySpeed(DomUtils::qrealFromDom(child, "flySpeed", flySpeed()));
-      setRotatesAroundUpVector(
-          DomUtils::boolFromDom(child, "rotatesAroundUpVector", false));
-      setZoomsOnPivotPoint(
-          DomUtils::boolFromDom(child, "zoomsOnPivotPoint", false));
-
-      QDomElement schild = child.firstChild().toElement();
-      while (!schild.isNull()) {
-        if (schild.tagName() == "sceneUpVector")
-          setSceneUpVector(Vec(schild));
-
-        schild = schild.nextSibling().toElement();
-      }
-    }
-    child = child.nextSibling().toElement();
-  }
-}
 
 ////////////////////////////////////////////////////////////////////////////////
 //                 M o u s e    h a n d l i n g                               //
diff --git a/GraphicsView/include/CGAL/Qt/manipulatedFrame.h b/GraphicsView/include/CGAL/Qt/manipulatedFrame.h
index bbef82923c0..88566c14097 100644
--- a/GraphicsView/include/CGAL/Qt/manipulatedFrame.h
+++ b/GraphicsView/include/CGAL/Qt/manipulatedFrame.h
@@ -302,15 +302,6 @@ public:
   virtual void checkIfGrabsMouse(int x, int y, const Camera *const camera);
   //@}
 
-  /*! @name XML representation */
-  //@{
-public:
-  virtual QDomElement domElement(const QString &name,
-                                 QDomDocument &document) const;
-public Q_SLOTS:
-  virtual void initFromDOMElement(const QDomElement &element);
-//@}
-
 #ifndef DOXYGEN
 protected:
   Quaternion deformedBallQuaternion(int x, int y, qreal cx, qreal cy,
diff --git a/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h b/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h
index e99c1acb99e..954c49c3553 100644
--- a/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h
+++ b/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h
@@ -43,7 +43,6 @@ namespace qglviewer{
 CGAL_INLINE_FUNCTION
 ManipulatedFrame::ManipulatedFrame()
     : action_(NO_MOUSE_ACTION), keepsGrabbingMouse_(false) {
-  // #CONNECTION# initFromDOMElement and accessor docs
   setRotationSensitivity(1.0);
   setTranslationSensitivity(1.0);
   setSpinningSensitivity(0.3);
@@ -101,71 +100,7 @@ void ManipulatedFrame::checkIfGrabsMouse(int x, int y,
                                         (fabs(y - proj.y) < thresold)));
 }
 
-////////////////////////////////////////////////////////////////////////////////
-//          S t a t e   s a v i n g   a n d   r e s t o r i n g               //
-////////////////////////////////////////////////////////////////////////////////
 
-/*! Returns an XML \c QDomElement that represents the ManipulatedFrame.
-
- Adds to the Frame::domElement() the ManipulatedFrame specific informations in a
- \c ManipulatedParameters child QDomElement.
-
- \p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
- factory used to create QDomElement.
-
- Use initFromDOMElement() to restore the ManipulatedFrame state from the
- resulting \c QDomElement.
-
- See Vec::domElement() for a complete example. See also
- Quaternion::domElement(), Camera::domElement()... */
-CGAL_INLINE_FUNCTION
-QDomElement ManipulatedFrame::domElement(const QString &name,
-                                         QDomDocument &document) const {
-  QDomElement e = Frame::domElement(name, document);
-  QDomElement mp = document.createElement("ManipulatedParameters");
-  mp.setAttribute("rotSens", QString::number(rotationSensitivity()));
-  mp.setAttribute("transSens", QString::number(translationSensitivity()));
-  mp.setAttribute("spinSens", QString::number(spinningSensitivity()));
-  mp.setAttribute("wheelSens", QString::number(wheelSensitivity()));
-  mp.setAttribute("zoomSens", QString::number(zoomSensitivity()));
-  e.appendChild(mp);
-  return e;
-}
-
-/*! Restores the ManipulatedFrame state from a \c QDomElement created by
-domElement().
-
-Fields that are not described in \p element are set to their default values (see
-ManipulatedFrame()).
-
-First calls Frame::initFromDOMElement() and then initializes ManipulatedFrame
-specific parameters. Note that constraint() and referenceFrame() are not
-restored and are left unchanged.
-
-
-See Vec::initFromDOMElement() for a complete code example. */
-CGAL_INLINE_FUNCTION
-void ManipulatedFrame::initFromDOMElement(const QDomElement &element) {
-  // Not called since it would set constraint() and referenceFrame() to nullptr.
-  // *this = ManipulatedFrame();
-  Frame::initFromDOMElement(element);
-
-  stopSpinning();
-
-  QDomElement child = element.firstChild().toElement();
-  while (!child.isNull()) {
-    if (child.tagName() == "ManipulatedParameters") {
-      // #CONNECTION# constructor default values and accessor docs
-      setRotationSensitivity(DomUtils::qrealFromDom(child, "rotSens", 1.0));
-      setTranslationSensitivity(
-          DomUtils::qrealFromDom(child, "transSens", 1.0));
-      setSpinningSensitivity(DomUtils::qrealFromDom(child, "spinSens", 0.3));
-      setWheelSensitivity(DomUtils::qrealFromDom(child, "wheelSens", 1.0));
-      setZoomSensitivity(DomUtils::qrealFromDom(child, "zoomSens", 1.0));
-    }
-    child = child.nextSibling().toElement();
-  }
-}
 
 ////////////////////////////////////////////////////////////////////////////////
 //                 M o u s e    h a n d l i n g                               //
diff --git a/GraphicsView/include/CGAL/Qt/qglviewer.h b/GraphicsView/include/CGAL/Qt/qglviewer.h
index 8b3ff179e9c..aed3e95103d 100644
--- a/GraphicsView/include/CGAL/Qt/qglviewer.h
+++ b/GraphicsView/include/CGAL/Qt/qglviewer.h
@@ -921,13 +921,10 @@ protected:
   //@{
 public:
   QString stateFileName() const;
-  virtual QDomElement domElement(const QString &name,
-                                 QDomDocument &document) const;
 Q_SIGNALS:
   void needNewContext();
 
 public Q_SLOTS:
-  virtual void initFromDOMElement(const QDomElement &element);
   virtual void saveStateToFile(); // cannot be const because of QMessageBox
   virtual bool restoreStateFromFile();
 
diff --git a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
index a4f378e84da..0f263a6c0cf 100644
--- a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
+++ b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
@@ -103,7 +103,6 @@ void CGAL::QGLViewer::defaultConstructor() {
   // It will be set when setFullScreen(false) is called after
   // setFullScreen(true)
 
-  // #CONNECTION# default values in initFromDOMElement()
   manipulatedFrame_ = nullptr;
   manipulatedFrameIsACamera_ = false;
   mouseGrabberIsAManipulatedFrame_ = false;
@@ -118,7 +117,6 @@ void CGAL::QGLViewer::defaultConstructor() {
   showEntireScene();
   setStateFileName(".qglviewer.xml");
 
-  // #CONNECTION# default values in initFromDOMElement()
   setAxisIsDrawn(false);
   setGridIsDrawn(false);
   setFPSIsDisplayed(false);
@@ -179,11 +177,6 @@ other viewer's indexes) and allocated memory is released. The camera() is
 deleted and should be copied before if it is shared by an other viewer. */
 CGAL_INLINE_FUNCTION
 CGAL::QGLViewer::~QGLViewer() {
-  // See closeEvent comment. Destructor is called (and not closeEvent) only when
-  // the widget is embedded. Hence we saveToFile here. It is however a bad idea
-  // if virtual domElement() has been overloaded ! if (parent())
-  // saveStateToFileForAllViewers();
-
   CGAL::QGLViewer::QGLViewerPool().removeAll(this);
 
   camera()->deleteLater();
@@ -656,7 +649,7 @@ void CGAL::QGLViewer::setCameraIsEdited(bool edit) {
   cameraIsEdited_ = edit;
   if (edit) {
     previousCameraZClippingCoefficient_ = camera()->zClippingCoefficient();
-    // #CONNECTION# 5.0 also used in domElement() and in initFromDOMElement().
+
     camera()->setZClippingCoefficient(5.0);
   } else
     camera()->setZClippingCoefficient(previousCameraZClippingCoefficient_);
@@ -3569,343 +3562,6 @@ void CGAL::QGLViewer::saveStateToFileForAllViewers() {
   }
 }
 
-//////////////////////////////////////////////////////////////////////////
-//       S a v e   s t a t e   b e t w e e n    s e s s i o n s         //
-//////////////////////////////////////////////////////////////////////////
-
-/*! Returns the state file name. Default value is \c .qglviewer.xml.
-
-This is the name of the XML file where saveStateToFile() saves the viewer state
-(camera state, widget geometry, display flags... see domElement()) on exit. Use
-restoreStateFromFile() to restore this state later (usually in your init()
-method).
-
-Setting this value to \c QString() will disable the automatic state file
-saving that normally occurs on exit.
-
-If more than one viewer are created by the application, this function will
-return a numbered file name (as in ".qglviewer1.xml", ".qglviewer2.xml"... using
-QGLViewer::QGLViewerIndex()) for extra viewers. Each viewer will then read back
-its own information in restoreStateFromFile(), provided that the viewers are
-created in the same order, which is usually the case. */
-CGAL_INLINE_FUNCTION
-QString CGAL::QGLViewer::stateFileName() const {
-  QString name = stateFileName_;
-
-  if (!name.isEmpty() && QGLViewer::QGLViewerIndex(this) > 0) {
-    QFileInfo fi(name);
-    if (fi.suffix().isEmpty())
-      name += QString::number(QGLViewer::QGLViewerIndex(this));
-    else
-      name = fi.absolutePath() + '/' + fi.completeBaseName() +
-             QString::number(QGLViewer::QGLViewerIndex(this)) + "." +
-             fi.suffix();
-  }
-
-  return name;
-}
-
-/*! Saves in stateFileName() an XML representation of the CGAL::QGLViewer state,
-obtained from domElement().
-
-Use restoreStateFromFile() to restore this viewer state.
-
-This method is automatically called when a viewer is closed (using Escape or
-using the window's upper right \c x close button). setStateFileName() to \c
-QString() to prevent this. */
-CGAL_INLINE_FUNCTION
-void CGAL::QGLViewer::saveStateToFile() {
-  QString name = stateFileName();
-
-  if (name.isEmpty())
-    return;
-
-  QFileInfo fileInfo(name);
-
-  if (fileInfo.isDir()) {
-    QMessageBox::warning(
-        this, tr("Save to file error", "Message box window title"),
-        tr("State file name (%1) references a directory instead of a file.")
-            .arg(name));
-    return;
-  }
-
-  const QString dirName = fileInfo.absolutePath();
-  if (!QFileInfo(dirName).exists()) {
-    QDir dir;
-    if (!(dir.mkdir(dirName))) {
-      QMessageBox::warning(this,
-                           tr("Save to file error", "Message box window title"),
-                           tr("Unable to create directory %1").arg(dirName));
-      return;
-    }
-  }
-
-  // Write the DOM tree to file
-  QFile f(name);
-  if (f.open(QIODevice::WriteOnly)) {
-    QTextStream out(&f);
-    QDomDocument doc("QGLVIEWER");
-    doc.appendChild(domElement("CGAL::QGLViewer", doc));
-    doc.save(out, 2);
-    f.flush();
-    f.close();
-  } else
-    QMessageBox::warning(
-        this, tr("Save to file error", "Message box window title"),
-        tr("Unable to save to file %1").arg(name) + ":\n" + f.errorString());
-}
-
-/*! Restores the CGAL::QGLViewer state from the stateFileName() file using
-initFromDOMElement().
-
-States are saved using saveStateToFile(), which is automatically called on
-viewer exit.
-
-Returns \c true when the restoration is successful. Possible problems are an non
-existing or unreadable stateFileName() file, an empty stateFileName() or an XML
-syntax error.
-
-A manipulatedFrame() should be defined \e before calling this method, so that
-its state can be restored. Initialization code put \e after this function will
-override saved values: \code void Viewer::init()
-{
-// Default initialization goes here (including the declaration of a possible
-manipulatedFrame).
-
-if (!restoreStateFromFile())
-showEntireScene(); // Previous state cannot be restored: fit camera to scene.
-
-// Specific initialization that overrides file savings goes here.
-}
-\endcode */
-CGAL_INLINE_FUNCTION
-bool CGAL::QGLViewer::restoreStateFromFile() {
-  QString name = stateFileName();
-
-  if (name.isEmpty())
-    return false;
-
-  QFileInfo fileInfo(name);
-
-  if (!fileInfo.isFile())
-    // No warning since it would be displayed at first start.
-    return false;
-
-  if (!fileInfo.isReadable()) {
-    QMessageBox::warning(
-        this, tr("Problem in state restoration", "Message box window title"),
-        tr("File %1 is not readable.").arg(name));
-    return false;
-  }
-
-  // Read the DOM tree form file
-  QFile f(name);
-  if (f.open(QIODevice::ReadOnly)) {
-    QDomDocument doc;
-    doc.setContent(&f);
-    f.close();
-    QDomElement main = doc.documentElement();
-    initFromDOMElement(main);
-  } else {
-    QMessageBox::warning(
-        this, tr("Open file error", "Message box window title"),
-        tr("Unable to open file %1").arg(name) + ":\n" + f.errorString());
-    return false;
-  }
-
-  return true;
-}
-
-/*! Returns an XML \c QDomElement that represents the CGAL::QGLViewer.
-
-Used by saveStateToFile(). restoreStateFromFile() uses initFromDOMElement() to
-restore the CGAL::QGLViewer state from the resulting \c QDomElement.
-
-\p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
-factory used to create QDomElement.
-
-The created QDomElement contains state values (axisIsDrawn(), FPSIsDisplayed(),
-isFullScreen()...), viewer geometry, as well as camera() (see
-CGAL::qglviewer::Camera::domElement()) and manipulatedFrame() (if defined, see
-CGAL::qglviewer::ManipulatedFrame::domElement()) states.
-
-Overload this method to add your own attributes to the state file:
-\code
-CGAL_INLINE_FUNCTION
-QDomElement Viewer::domElement(const QString& name, QDomDocument& document)
-const
-{
-// Creates a custom node for a light
-QDomElement de = document.createElement("Light");
-de.setAttribute("state", (lightIsOn()?"on":"off"));
-// Note the include of the ManipulatedFrame domElement method.
-de.appendChild(lightManipulatedFrame()->domElement("LightFrame", document));
-
-// Get default state domElement and append custom node
-CGAL_INLINE_FUNCTION
-QDomElement res = CGAL::QGLViewer::domElement(name, document);
-res.appendChild(de);
-return res;
-}
-\endcode
-See initFromDOMElement() for the associated restoration code.
-
-\attention For the manipulatedFrame(), CGAL::qglviewer::Frame::constraint() and
-CGAL::qglviewer::Frame::referenceFrame() are not saved. See
-CGAL::qglviewer::Frame::domElement(). */
-CGAL_INLINE_FUNCTION
-QDomElement CGAL::QGLViewer::domElement(const QString &name,
-                                  QDomDocument &document) const {
-  QDomElement de = document.createElement(name);
-
-  QDomElement stateNode = document.createElement("State");
-  // hasMouseTracking() is not saved
-  stateNode.appendChild(DomUtils::QColorDomElement(
-      foregroundColor(), "foregroundColor", document));
-  stateNode.appendChild(DomUtils::QColorDomElement(
-      backgroundColor(), "backgroundColor", document));
-  // Revolve or fly camera mode is not saved
-  de.appendChild(stateNode);
-
-  QDomElement displayNode = document.createElement("Display");
-  DomUtils::setBoolAttribute(displayNode, "axisIsDrawn", axisIsDrawn());
-  DomUtils::setBoolAttribute(displayNode, "gridIsDrawn", gridIsDrawn());
-  DomUtils::setBoolAttribute(displayNode, "FPSIsDisplayed", FPSIsDisplayed());
-  DomUtils::setBoolAttribute(displayNode, "cameraIsEdited", cameraIsEdited());
-  // textIsEnabled() is not saved
-  de.appendChild(displayNode);
-
-  QDomElement geometryNode = document.createElement("Geometry");
-  DomUtils::setBoolAttribute(geometryNode, "fullScreen", isFullScreen());
-  if (isFullScreen()) {
-    geometryNode.setAttribute("prevPosX", QString::number(prevPos_.x()));
-    geometryNode.setAttribute("prevPosY", QString::number(prevPos_.y()));
-  } else {
-    QWidget *tlw = topLevelWidget();
-    geometryNode.setAttribute("width", QString::number(tlw->width()));
-    geometryNode.setAttribute("height", QString::number(tlw->height()));
-    geometryNode.setAttribute("posX", QString::number(tlw->pos().x()));
-    geometryNode.setAttribute("posY", QString::number(tlw->pos().y()));
-  }
-  de.appendChild(geometryNode);
-
-  // Restore original Camera zClippingCoefficient before saving.
-  if (cameraIsEdited())
-    camera()->setZClippingCoefficient(previousCameraZClippingCoefficient_);
-  de.appendChild(camera()->domElement("Camera", document));
-  if (cameraIsEdited())
-    // #CONNECTION# 5.0 from setCameraIsEdited()
-    camera()->setZClippingCoefficient(5.0);
-
-  if (manipulatedFrame())
-    de.appendChild(
-        manipulatedFrame()->domElement("ManipulatedFrame", document));
-
-  return de;
-}
-
-/*! Restores the CGAL::QGLViewer state from a \c QDomElement created by domElement().
-
-Used by restoreStateFromFile() to restore the CGAL::QGLViewer state from a file.
-
-Overload this method to retrieve custom attributes from the CGAL::QGLViewer state
-file. This code corresponds to the one given in the domElement() documentation:
-\code
-CGAL_INLINE_FUNCTION
-void Viewer::initFromDOMElement(const QDomElement& element)
-{
-// Restore standard state
-CGAL_INLINE_FUNCTION
-CGAL::QGLViewer::initFromDOMElement(element);
-
-QDomElement child=element.firstChild().toElement();
-while (!child.isNull())
-{
-if (child.tagName() == "Light")
-{
-if (child.hasAttribute("state"))
-setLightOn(child.attribute("state").toLower() == "on");
-
-// Assumes there is only one child. Otherwise you need to parse child's children
-recursively. QDomElement lf = child.firstChild().toElement(); if (!lf.isNull()
-&& lf.tagName() == "LightFrame")
-lightManipulatedFrame()->initFromDomElement(lf);
-}
-child = child.nextSibling().toElement();
-}
-}
-\endcode
-
-CGAL_INLINE_FUNCTION
-See also CGAL::qglviewer::Camera::initFromDOMElement(),
-CGAL::qglviewer::ManipulatedFrame::initFromDOMElement().
-
-\note The manipulatedFrame() \e pointer is not modified by this method. If
-defined, its state is simply set from the \p element values. */
-CGAL_INLINE_FUNCTION
-void CGAL::QGLViewer::initFromDOMElement(const QDomElement &element) {
-  QDomElement child = element.firstChild().toElement();
-  bool tmpCameraIsEdited = cameraIsEdited();
-  while (!child.isNull()) {
-    if (child.tagName() == "State") {
-      // #CONNECTION# default values from defaultConstructor()
-      // setMouseTracking(DomUtils::boolFromDom(child, "mouseTracking", false));
-      // if ((child.attribute("cameraMode", "revolve") == "fly") &&
-      // (cameraIsInRevolveMode()))         toggleCameraMode();
-
-      QDomElement ch = child.firstChild().toElement();
-      while (!ch.isNull()) {
-        if (ch.tagName() == "foregroundColor")
-          setForegroundColor(DomUtils::QColorFromDom(ch));
-        if (ch.tagName() == "backgroundColor")
-          setBackgroundColor(DomUtils::QColorFromDom(ch));
-        ch = ch.nextSibling().toElement();
-      }
-    }
-
-    if (child.tagName() == "Display") {
-      // #CONNECTION# default values from defaultConstructor()
-      setAxisIsDrawn(DomUtils::boolFromDom(child, "axisIsDrawn", false));
-      setGridIsDrawn(DomUtils::boolFromDom(child, "gridIsDrawn", false));
-      setFPSIsDisplayed(DomUtils::boolFromDom(child, "FPSIsDisplayed", false));
-    }
-
-    if (child.tagName() == "Geometry") {
-      setFullScreen(DomUtils::boolFromDom(child, "fullScreen", false));
-
-      if (!isFullScreen())
-      {
-        int width = DomUtils::intFromDom(child, "width", 600);
-        int height = DomUtils::intFromDom(child, "height", 400);
-        topLevelWidget()->resize(width, height);
-        camera()->setScreenWidthAndHeight(this->width(), this->height());
-
-        QPoint pos;
-        pos.setX(DomUtils::intFromDom(child, "posX", 0));
-        pos.setY(DomUtils::intFromDom(child, "posY", 0));
-        topLevelWidget()->move(pos);
-      }
-    }
-
-    child = child.nextSibling().toElement();
-  }
-
-  // The Camera always stores its "real" zClippingCoef in domElement(). If it is
-  // edited, its "real" coef must be saved and the coef set to 5.0, as is done
-  // in setCameraIsEdited(). BUT : Camera and Display are read in an arbitrary
-  // order. We must initialize Camera's "real" coef BEFORE calling
-  // setCameraIsEdited. Hence this temp cameraIsEdited and delayed call
-  cameraIsEdited_ = tmpCameraIsEdited;
-  if (cameraIsEdited_) {
-    previousCameraZClippingCoefficient_ = camera()->zClippingCoefficient();
-    // #CONNECTION# 5.0 from setCameraIsEdited.
-    camera()->setZClippingCoefficient(5.0);
-  }
-}
-
-
-
 CGAL_INLINE_FUNCTION
 void CGAL::QGLViewer::copyBufferToTexture(GLint , GLenum ) {
 }
diff --git a/GraphicsView/include/CGAL/Qt/quaternion.h b/GraphicsView/include/CGAL/Qt/quaternion.h
index ae9fc6365d6..5322db4bea9 100644
--- a/GraphicsView/include/CGAL/Qt/quaternion.h
+++ b/GraphicsView/include/CGAL/Qt/quaternion.h
@@ -300,12 +300,6 @@ public:
   static Quaternion randomQuaternion();
   //@}
 
-  /*! @name XML representation */
-  //@{
-  explicit Quaternion(const QDomElement &element);
-  QDomElement domElement(const QString &name, QDomDocument &document) const;
-  void initFromDOMElement(const QDomElement &element);
-//@}
 
 #ifdef DOXYGEN
   /*! @name Output stream */
diff --git a/GraphicsView/include/CGAL/Qt/quaternion_impl.h b/GraphicsView/include/CGAL/Qt/quaternion_impl.h
index 6f5f8fff5fa..cf520688276 100644
--- a/GraphicsView/include/CGAL/Qt/quaternion_impl.h
+++ b/GraphicsView/include/CGAL/Qt/quaternion_impl.h
@@ -211,71 +211,6 @@ qreal Quaternion::angle() const {
   return (angle <= CGAL_PI) ? angle : 2.0 * CGAL_PI - angle;
 }
 
-/*! Returns an XML \c QDomElement that represents the Quaternion.
-
- \p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
- factory used to create QDomElement.
-
- When output to a file, the resulting QDomElement will look like:
- \code
- <name q0=".." q1=".." q2=".." q3=".." />
- \endcode
-
- Use initFromDOMElement() to restore the Quaternion state from the resulting \c
- QDomElement. See also the Quaternion(const QDomElement&) constructor.
-
-CGAL_INLINE_FUNCTION
- See the Vec::domElement() documentation for a complete QDomDocument creation
- and saving example.
-
-CGAL_INLINE_FUNCTION
- See also Frame::domElement(), Camera::domElement(),
-CGAL_INLINE_FUNCTION
- KeyFrameInterpolator::domElement()... */
-CGAL_INLINE_FUNCTION
-QDomElement Quaternion::domElement(const QString &name,
-                                   QDomDocument &document) const {
-  QDomElement de = document.createElement(name);
-  de.setAttribute("q0", QString::number(q[0]));
-  de.setAttribute("q1", QString::number(q[1]));
-  de.setAttribute("q2", QString::number(q[2]));
-  de.setAttribute("q3", QString::number(q[3]));
-  return de;
-}
-
-/*! Restores the Quaternion state from a \c QDomElement created by domElement().
-
- The \c QDomElement should contain the \c q0, \c q1 , \c q2 and \c q3
- attributes. If one of these attributes is missing or is not a number, a warning
- is displayed and these fields are respectively set to 0.0, 0.0, 0.0 and 1.0
- (identity Quaternion).
-
- See also the Quaternion(const QDomElement&) constructor. */
-CGAL_INLINE_FUNCTION
-void Quaternion::initFromDOMElement(const QDomElement &element) {
-  Quaternion q(element);
-  *this = q;
-}
-
-/*! Constructs a Quaternion from a \c QDomElement representing an XML code of
-  the form \code< anyTagName q0=".." q1=".." q2=".." q3=".." />\endcode
-
-  If one of these attributes is missing or is not a number, a warning is
-  displayed and the associated value is respectively set to 0, 0, 0 and 1
-  (identity Quaternion).
-
-  See also domElement() and initFromDOMElement(). */
-CGAL_INLINE_FUNCTION
-Quaternion::Quaternion(const QDomElement &element) {
-  QStringList attribute;
-  attribute << "q0"
-            << "q1"
-            << "q2"
-            << "q3";
-  for (int i = 0; i < attribute.size(); ++i)
-    q[i] = DomUtils::qrealFromDom(element, attribute[i], ((i < 3) ? 0.0 : 1.0));
-}
-
 /*! Returns the Quaternion associated 4x4 OpenGL rotation matrix.
 
  Use \c glMultMatrixd(q.matrix()) to apply the rotation represented by
diff --git a/GraphicsView/include/CGAL/Qt/vec.h b/GraphicsView/include/CGAL/Qt/vec.h
index 615df43987e..903db34f0f9 100644
--- a/GraphicsView/include/CGAL/Qt/vec.h
+++ b/GraphicsView/include/CGAL/Qt/vec.h
@@ -16,8 +16,6 @@
 #include <iostream>
 #include <math.h>
 
-#include <QDomElement>
-
 // Included by all files as vec.h is at the end of the include hierarchy
 #include <CGAL/export/Qt.h>
 
@@ -334,12 +332,6 @@ Normalizing a null vector will result in \c NaN values. */
   void projectOnPlane(const Vec &normal);
   //@}
 
-  /*! @name XML representation */
-  //@{
-  explicit Vec(const QDomElement &element);
-  QDomElement domElement(const QString &name, QDomDocument &document) const;
-  void initFromDOMElement(const QDomElement &element);
-//@}
 
 #ifdef DOXYGEN
   /*! @name Output stream */
diff --git a/GraphicsView/include/CGAL/Qt/vec_impl.h b/GraphicsView/include/CGAL/Qt/vec_impl.h
index 84f8296159f..ed7911d0f19 100644
--- a/GraphicsView/include/CGAL/Qt/vec_impl.h
+++ b/GraphicsView/include/CGAL/Qt/vec_impl.h
@@ -72,100 +72,6 @@ Vec Vec::orthogonalVec() const {
     return Vec(-y, x, 0.0);
 }
 
-/*! Constructs a Vec from a \c QDomElement representing an XML code of the form
- \code< anyTagName x=".." y=".." z=".." />\endcode
-
-If one of these attributes is missing or is not a number, a warning is displayed
-and the associated value is set to 0.0.
-
-See also domElement() and initFromDOMElement(). */
-CGAL_INLINE_FUNCTION
-Vec::Vec(const QDomElement &element) {
-  QStringList attribute;
-  attribute << "x"
-            << "y"
-            << "z";
-  for (int i = 0; i < attribute.size(); ++i)
-#ifdef QGLVIEWER_UNION_NOT_SUPPORTED
-    this->operator[](i) = DomUtils::qrealFromDom(element, attribute[i], 0.0);
-#else
-    v_[i] = DomUtils::qrealFromDom(element, attribute[i], 0.0);
-#endif
-}
-
-/*! Returns an XML \c QDomElement that represents the Vec.
-
- \p name is the name of the QDomElement tag. \p doc is the \c QDomDocument
- factory used to create QDomElement.
-
- When output to a file, the resulting QDomElement will look like:
- \code
- <name x=".." y=".." z=".." />
- \endcode
-
- Use initFromDOMElement() to restore the Vec state from the resulting \c
- QDomElement. See also the Vec(const QDomElement&) constructor.
-
- Here is complete example that creates a QDomDocument and saves it into a file:
- \code
- Vec sunPos;
- QDomDocument document("myDocument");
- QDomElement sunElement = document.createElement("Sun");
- document.appendChild(sunElement);
- sunElement.setAttribute("brightness", sunBrightness());
- sunElement.appendChild(sunPos.domElement("sunPosition", document));
- // Other additions to the document hierarchy...
-
- // Save doc document
- QFile f("myFile.xml");
- if (f.open(IO_WriteOnly))
- {
-   QTextStream out(&f);
-   document.save(out, 2);
-   f.close();
- }
- \endcode
-
-CGAL_INLINE_FUNCTION
- See also Quaternion::domElement(), Frame::domElement(), Camera::domElement()...
- */
-CGAL_INLINE_FUNCTION
-QDomElement Vec::domElement(const QString &name, QDomDocument &document) const {
-  QDomElement de = document.createElement(name);
-  de.setAttribute("x", QString::number(x));
-  de.setAttribute("y", QString::number(y));
-  de.setAttribute("z", QString::number(z));
-  return de;
-}
-
-/*! Restores the Vec state from a \c QDomElement created by domElement().
-
- The \c QDomElement should contain \c x, \c y and \c z attributes. If one of
- these attributes is missing or is not a number, a warning is displayed and the
- associated value is set to 0.0.
-
- To restore the Vec state from an xml file, use:
- \code
- // Load DOM from file
- QDomDocument doc;
- QFile f("myFile.xml");
- if (f.open(IO_ReadOnly))
- {
-   doc.setContent(&f);
-   f.close();
- }
- // Parse the DOM tree and initialize
- QDomElement main=doc.documentElement();
- myVec.initFromDOMElement(main);
- \endcode
-
- See also the Vec(const QDomElement&) constructor. */
-CGAL_INLINE_FUNCTION
-void Vec::initFromDOMElement(const QDomElement &element) {
-  const Vec v(element);
-  *this = v;
-}
-
 CGAL_INLINE_FUNCTION
 std::ostream &operator<<(std::ostream &o, const Vec &v) {
   return o << v.x << '\t' << v.y << '\t' << v.z;
diff --git a/Installation/CMakeLists.txt b/Installation/CMakeLists.txt
index 99281d11635..5890f968422 100644
--- a/Installation/CMakeLists.txt
+++ b/Installation/CMakeLists.txt
@@ -1157,7 +1157,7 @@ if(CGAL_BRANCH_BUILD)
     find_package(GMP REQUIRED)
     find_package(Doxygen REQUIRED)
     find_package(Eigen3 REQUIRED)
-    find_package(Qt5 COMPONENTS Core Widgets Xml OpenGL Gui REQUIRED)
+    find_package(Qt5 COMPONENTS Core Widgets OpenGL Gui REQUIRED)
     find_package(VTK COMPONENTS vtkImagingGeneral vtkIOImage NO_MODULE)
     find_package(IPE)
     find_package(RS3)
@@ -1168,10 +1168,9 @@ if(CGAL_BRANCH_BUILD)
     set(compile_options
         "\
 ${CMAKE_CXX_FLAGS} -DCGAL_EIGEN3_ENABLED -DCGAL_PROFILE \
-${Qt5Widgets_DEFINITIONS} ${Qt5Xml_DEFINITIONS} ${Qt5OpenGL_DEFINITIONS} ${Qt5Gui_DEFINITIONS} \
+${Qt5Widgets_DEFINITIONS} ${Qt5OpenGL_DEFINITIONS} ${Qt5Gui_DEFINITIONS} \
 ${Qt5OpenGL_EXECUTABLE_COMPILE_FLAGS} -fPIC \
 ${Qt5Gui_EXECUTABLE_COMPILE_FLAGS} \
-${Qt5Xml_EXECUTABLE_COMPILE_FLAGS} \
 ${CGAL_3RD_PARTY_DEFINITIONS} ${CGAL_Qt5_3RD_PARTY_DEFINITIONS} \
 ${CGAL_DEFINITIONS}")
     message("COMPILATION OPTIONS ARE :  ${compile_options}")
@@ -1267,7 +1266,6 @@ You must disable CGAL_ENABLE_CHECK_HEADERS.")
       ${GMP_INCLUDE_DIR}
       ${Qt5OpenGL_INCLUDE_DIRS}
       ${Qt5Widgets_INCLUDE_DIRS}
-      ${Qt5Xml_INCLUDE_DIRS}
       ${Qt5Gui_DEFINITIONS}
       ${CGAL_3RD_PARTY_INCLUDE_DIRS}
       ${CGAL_Qt5_3RD_PARTY_INCLUDE_DIRS})
diff --git a/Linear_cell_complex/demo/Linear_cell_complex/CMakeLists.txt b/Linear_cell_complex/demo/Linear_cell_complex/CMakeLists.txt
index 1d49f69cf2f..76b250600d2 100644
--- a/Linear_cell_complex/demo/Linear_cell_complex/CMakeLists.txt
+++ b/Linear_cell_complex/demo/Linear_cell_complex/CMakeLists.txt
@@ -37,7 +37,7 @@ add_definitions(-DCGAL_PROFILE_LCC_DEMO)
 ##################
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Svg)
 
 if(NOT
    (CGAL_Qt5_FOUND
diff --git a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/CMakeLists.txt b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/CMakeLists.txt
index bbbeecc0371..811619b9522 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/CMakeLists.txt
+++ b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/CMakeLists.txt
@@ -17,7 +17,7 @@ endif()
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
 # Find Qt5 itself
-find_package(Qt5 QUIET COMPONENTS Xml OpenGL Help Core)
+find_package(Qt5 QUIET COMPONENTS OpenGL Help Core)
 
 if(Qt5_FOUND)
   add_definitions(-DQT_NO_KEYWORDS)
diff --git a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/CMakeLists.txt b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/CMakeLists.txt
index ee10c5ac9ca..4f73377504b 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/CMakeLists.txt
+++ b/Periodic_3_triangulation_3/demo/Periodic_Lloyd_3/CMakeLists.txt
@@ -19,7 +19,7 @@ set(CMAKE_AUTOMOC ON)
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script Help OpenGL Svg)
+find_package(Qt5 QUIET COMPONENTS Script Help OpenGL Svg)
 
 if(Qt5Help_VERSION VERSION_LESS 5.12)
   set(CGAL_QCOLLECTIONGENERATOR_TARGET Qt5::qcollectiongenerator)
diff --git a/Polyhedron/demo/Polyhedron/CMakeLists.txt b/Polyhedron/demo/Polyhedron/CMakeLists.txt
index a057727c87b..8c84a62592a 100644
--- a/Polyhedron/demo/Polyhedron/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/CMakeLists.txt
@@ -69,7 +69,7 @@ include(${CGAL_USE_FILE})
 
 find_package(
   Qt5 QUIET
-  COMPONENTS OpenGL Script Xml
+  COMPONENTS OpenGL Script
   OPTIONAL_COMPONENTS ScriptTools WebSockets)
 
 set_package_properties(
diff --git a/Polyhedron/demo/Polyhedron/Plugins/Three_examples/CMakeLists.txt b/Polyhedron/demo/Polyhedron/Plugins/Three_examples/CMakeLists.txt
index 6cde165b88d..9457b7bdc5d 100644
--- a/Polyhedron/demo/Polyhedron/Plugins/Three_examples/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/Plugins/Three_examples/CMakeLists.txt
@@ -14,7 +14,7 @@ find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5 ImageIO)
 # Find Qt5 itself
 find_package(
   Qt5 QUIET
-  COMPONENTS OpenGL Script Svg Xml
+  COMPONENTS OpenGL Script Svg
   OPTIONAL_COMPONENTS ScriptTools WebSockets)
 
 if(RUNNING_CGAL_AUTO_TEST)
diff --git a/Polyline_simplification_2/demo/Polyline_simplification_2/CMakeLists.txt b/Polyline_simplification_2/demo/Polyline_simplification_2/CMakeLists.txt
index 65c33cb6436..19f85245921 100644
--- a/Polyline_simplification_2/demo/Polyline_simplification_2/CMakeLists.txt
+++ b/Polyline_simplification_2/demo/Polyline_simplification_2/CMakeLists.txt
@@ -17,7 +17,7 @@ find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
 set(CMAKE_INCLUDE_CURRENT_DIR ON)
 
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL Widgets Svg)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL Widgets Svg)
 
 include_directories(BEFORE ${CMAKE_CURRENT_SOURCE_DIR}/include)
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
diff --git a/Principal_component_analysis/demo/Principal_component_analysis/CMakeLists.txt b/Principal_component_analysis/demo/Principal_component_analysis/CMakeLists.txt
index df54844c7b7..67a8e78c844 100644
--- a/Principal_component_analysis/demo/Principal_component_analysis/CMakeLists.txt
+++ b/Principal_component_analysis/demo/Principal_component_analysis/CMakeLists.txt
@@ -28,7 +28,7 @@ if(NOT TARGET CGAL::Eigen3_support)
 endif()
 
 # Find Qt5 itself
-find_package(Qt5 QUIET COMPONENTS Xml Script OpenGL)
+find_package(Qt5 QUIET COMPONENTS Script OpenGL)
 
 if(CGAL_Qt5_FOUND AND Qt5_FOUND)
 
diff --git a/Surface_mesher/demo/Surface_mesher/CMakeLists.txt b/Surface_mesher/demo/Surface_mesher/CMakeLists.txt
index 3402ae6a380..96e3edb9472 100644
--- a/Surface_mesher/demo/Surface_mesher/CMakeLists.txt
+++ b/Surface_mesher/demo/Surface_mesher/CMakeLists.txt
@@ -39,14 +39,14 @@ endforeach()
 
 include_directories(./)
 
-# QGLViwer needs Qt5 configured with QtOpenGL and QtXml support
+# QGLViewer needs Qt5 configured with QtOpenGL
 
 find_package(CGAL REQUIRED COMPONENTS ImageIO Qt5)
 if(CGAL_Qt5_FOUND AND CGAL_ImageIO_FOUND)
 
   add_definitions(-DQT_NO_KEYWORDS)
 
-  find_package(Qt5 QUIET COMPONENTS OpenGL Xml Svg)
+  find_package(Qt5 QUIET COMPONENTS OpenGL Svg)
   find_package(OpenGL)
 
   if(Qt5_FOUND
diff --git a/Triangulation_3/demo/Triangulation_3/CMakeLists.txt b/Triangulation_3/demo/Triangulation_3/CMakeLists.txt
index ddd0963b4a9..1c4f8aade5d 100644
--- a/Triangulation_3/demo/Triangulation_3/CMakeLists.txt
+++ b/Triangulation_3/demo/Triangulation_3/CMakeLists.txt
@@ -20,7 +20,7 @@ set(CMAKE_AUTOMOC ON)
 
 find_package(CGAL REQUIRED OPTIONAL_COMPONENTS Qt5)
 
-find_package(Qt5 QUIET COMPONENTS OpenGL Xml)
+find_package(Qt5 QUIET COMPONENTS OpenGL)
 
 if(Qt5_FOUND)
   add_definitions(-DQT_NO_KEYWORDS)
@@ -70,7 +70,7 @@ if(CGAL_Qt5_FOUND AND Qt5_FOUND)
   add_to_cached_list(CGAL_EXECUTABLE_TARGETS T3_demo)
 
   target_link_libraries(T3_demo PRIVATE CGAL::CGAL CGAL::CGAL_Qt5)
-  target_link_libraries(T3_demo PRIVATE Qt5::OpenGL Qt5::Xml)
+  target_link_libraries(T3_demo PRIVATE Qt5::OpenGL)
   if(TARGET CGAL::TBB_support)
     target_link_libraries(T3_demo PUBLIC CGAL::TBB_support)
   endif()

From c9a020bb1a5559ab14ab74d412e27733aced9f10 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 9 Feb 2021 12:12:56 +0100
Subject: [PATCH 294/317] Remove remaining includes

---
 .../include/CGAL/Qt/Basic_viewer_qt.h         |  2 -
 .../include/CGAL/Qt/DemosMainWindow_impl.h    |  4 --
 GraphicsView/include/CGAL/Qt/camera_impl.h    |  1 -
 GraphicsView/include/CGAL/Qt/frame_impl.h     |  1 -
 .../CGAL/Qt/keyFrameInterpolator_impl.h       |  1 -
 .../CGAL/Qt/manipulatedCameraFrame_impl.h     |  1 -
 .../include/CGAL/Qt/manipulatedFrame_impl.h   |  1 -
 GraphicsView/include/CGAL/Qt/qglviewer.h      | 33 ++----------
 GraphicsView/include/CGAL/Qt/qglviewer_impl.h | 52 -------------------
 .../include/CGAL/Qt/quaternion_impl.h         |  1 -
 GraphicsView/include/CGAL/Qt/vec_impl.h       |  1 -
 .../Linear_cell_complex/basic_viewer.h        |  1 -
 Polyhedron/demo/Polyhedron/MainWindow.cpp     |  2 -
 13 files changed, 3 insertions(+), 98 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
index 11058fe04e6..0727222ee01 100644
--- a/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
+++ b/GraphicsView/include/CGAL/Qt/Basic_viewer_qt.h
@@ -1262,8 +1262,6 @@ protected:
 
   virtual void init()
   {
-    // Restore previous viewer state.
-    restoreStateFromFile();
     initializeOpenGLFunctions();
 
     // Light default parameters
diff --git a/GraphicsView/include/CGAL/Qt/DemosMainWindow_impl.h b/GraphicsView/include/CGAL/Qt/DemosMainWindow_impl.h
index be82c3fecca..009b142b963 100644
--- a/GraphicsView/include/CGAL/Qt/DemosMainWindow_impl.h
+++ b/GraphicsView/include/CGAL/Qt/DemosMainWindow_impl.h
@@ -458,10 +458,6 @@ void DemosMainWindow::readState(QString groupname, Options /*what_to_save*/)
 
     move(pos);
   }
-  QByteArray mainWindowState = settings.value("state").toByteArray();
-  if(!mainWindowState.isNull()) {
-    this->restoreState(mainWindowState);
-  }
   settings.endGroup();
 }
 
diff --git a/GraphicsView/include/CGAL/Qt/camera_impl.h b/GraphicsView/include/CGAL/Qt/camera_impl.h
index 7321b58a0c7..21c7eb8966c 100644
--- a/GraphicsView/include/CGAL/Qt/camera_impl.h
+++ b/GraphicsView/include/CGAL/Qt/camera_impl.h
@@ -21,7 +21,6 @@
 
 #include <CGAL/Qt/camera.h>
 #include <CGAL/Qt/manipulatedCameraFrame.h>
-#include <CGAL/Qt/domUtils.h>
 #include <CGAL/Qt/keyFrameInterpolator.h>
 
 namespace CGAL{
diff --git a/GraphicsView/include/CGAL/Qt/frame_impl.h b/GraphicsView/include/CGAL/Qt/frame_impl.h
index 9ba5bfc5941..bb8089dc65c 100644
--- a/GraphicsView/include/CGAL/Qt/frame_impl.h
+++ b/GraphicsView/include/CGAL/Qt/frame_impl.h
@@ -21,7 +21,6 @@
 
 #include <CGAL/Qt/frame.h>
 #include <CGAL/Qt/constraint.h>
-#include <CGAL/Qt/domUtils.h>
 #include <math.h>
 
 namespace CGAL{
diff --git a/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h b/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h
index 067aba57041..fb0b2564ba6 100644
--- a/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h
+++ b/GraphicsView/include/CGAL/Qt/keyFrameInterpolator_impl.h
@@ -19,7 +19,6 @@
 #endif
 
 #include <CGAL/Qt/keyFrameInterpolator.h>
-#include <CGAL/Qt/domUtils.h>
 
 namespace CGAL{
 namespace qglviewer{
diff --git a/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h b/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h
index ec959a4a986..885ce76c7c2 100644
--- a/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h
+++ b/GraphicsView/include/CGAL/Qt/manipulatedCameraFrame_impl.h
@@ -21,7 +21,6 @@
 #include <CGAL/number_type_config.h>
 #include <CGAL/Qt/manipulatedCameraFrame.h>
 #include <CGAL/Qt/camera.h>
-#include <CGAL/Qt/domUtils.h>
 #include <CGAL/Qt/qglviewer.h>
 
 #include <QMouseEvent>
diff --git a/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h b/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h
index 954c49c3553..dbf263c30d4 100644
--- a/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h
+++ b/GraphicsView/include/CGAL/Qt/manipulatedFrame_impl.h
@@ -21,7 +21,6 @@
 
 #include <CGAL/Qt/manipulatedFrame.h>
 #include <CGAL/Qt/camera.h>
-#include <CGAL/Qt/domUtils.h>
 #include <CGAL/Qt/qglviewer.h>
 
 #include <cstdlib>
diff --git a/GraphicsView/include/CGAL/Qt/qglviewer.h b/GraphicsView/include/CGAL/Qt/qglviewer.h
index aed3e95103d..22f190be7ec 100644
--- a/GraphicsView/include/CGAL/Qt/qglviewer.h
+++ b/GraphicsView/include/CGAL/Qt/qglviewer.h
@@ -179,9 +179,7 @@ public:
   /*! Returns the background color of the viewer.
 
   This method is provided for convenience since the background color is an
-  OpenGL state variable set with \c glClearColor(). However, this internal
-  representation has the advantage that it is saved (resp. restored) with
-  saveStateToFile() (resp. restoreStateFromFile()).
+  OpenGL state variable set with \c glClearColor().
 
   Use setBackgroundColor() to define and activate a background color.
 
@@ -667,9 +665,8 @@ protected:
   initialize some of the OpenGL flags. The default implementation is empty. See
   initializeGL().
 
-  Typical usage include camera() initialization (showEntireScene()), previous
-  viewer state restoration (restoreStateFromFile()), OpenGL state modification
-  and display list creation.
+  Typical usage include camera() initialization (showEntireScene()),
+ OpenGL state modification and display list creation.
 
   Note that initializeGL() modifies the standard OpenGL context. These values
   can be restored back in this method.
@@ -719,7 +716,6 @@ protected:
   virtual void keyPressEvent(QKeyEvent *);
   virtual void keyReleaseEvent(QKeyEvent *);
   virtual void timerEvent(QTimerEvent *);
-  virtual void closeEvent(QCloseEvent *);
   //@}
 
   /*! @name Object selection */
@@ -924,29 +920,8 @@ public:
 Q_SIGNALS:
   void needNewContext();
 
-public Q_SLOTS:
-  virtual void saveStateToFile(); // cannot be const because of QMessageBox
-  virtual bool restoreStateFromFile();
-
-  /*! Defines the stateFileName() used by saveStateToFile() and
-    restoreStateFromFile().
-
-    The file name can have an optional prefix directory (no prefix meaning
-    current directory). If the directory does not exist, it will be created by
-    saveStateToFile().
-
-    \code
-    // Name depends on the displayed 3D model. Saved in current directory.
-    setStateFileName(3DModelName() + ".xml");
-
-    // Files are stored in a dedicated directory under user's home directory.
-    setStateFileName(QDir::homeDirPath + "/.config/myApp.xml");
-    \endcode */
-  void setStateFileName(const QString &name) { stateFileName_ = name; }
-
 
 protected:
-  static void saveStateToFileForAllViewers();
   //@}
 
   /*! @name QGLViewer pool */
@@ -1165,8 +1140,6 @@ protected:
   QMap<ClickBindingPrivate, qglviewer::ClickAction> clickBinding_;
   ::Qt::Key currentlyPressedKey_;
 
-  // S t a t e   F i l e
-  QString stateFileName_;
 
   // H e l p   w i n d o w
   QTabWidget *helpWidget_;
diff --git a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
index 0f263a6c0cf..6788abc80f4 100644
--- a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
+++ b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
@@ -24,7 +24,6 @@
 #include <CGAL/Qt/qglviewer.h>
 #include <CGAL/Qt/manipulatedCameraFrame.h>
 #include <CGAL/Qt/camera.h>
-#include <CGAL/Qt/domUtils.h>
 #include <CGAL/Qt/keyFrameInterpolator.h>
 #include <CGAL/Qt/image_interface.h>
 
@@ -115,7 +114,6 @@ void CGAL::QGLViewer::defaultConstructor() {
 
   setSceneRadius(1.0);
   showEntireScene();
-  setStateFileName(".qglviewer.xml");
 
   setAxisIsDrawn(false);
   setGridIsDrawn(false);
@@ -1066,46 +1064,6 @@ void CGAL::QGLViewer::stopAnimation() {
     killTimer(animationTimerId_);
 }
 
-/*! Overloading of the \c QWidget method.
-
-Saves the viewer state using saveStateToFile() and then calls
-QOpenGLWidget::closeEvent(). */
-CGAL_INLINE_FUNCTION
-void CGAL::QGLViewer::closeEvent(QCloseEvent *e) {
-  // When the user clicks on the window close (x) button:
-  // - If the viewer is a top level window, closeEvent is called and then saves
-  // to file. - Otherwise, nothing happen s:( When the user press the
-  // EXIT_VIEWER keyboard shortcut: - If the viewer is a top level window,
-  // saveStateToFile() is also called - Otherwise, closeEvent is NOT called and
-  // keyPressEvent does the job.
-
-  /* After tests:
-  E : Embedded widget
-  N : Widget created with new
-  C : closeEvent called
-  D : destructor called
-
-  E        N        C        D
-  y        y
-  y        n                y
-  n        y        y
-  n        n        y        y
-
-  closeEvent is called iif the widget is NOT embedded.
-
-  Destructor is called iif the widget is created on the stack
-  or if widget (resp. parent if embedded) is created with WDestructiveClose
-  flag.
-
-  closeEvent always before destructor.
-
-  Close using qApp->closeAllWindows or (x) is identical.
-  */
-
-  // #CONNECTION# Also done for EXIT_VIEWER in keyPressEvent().
-  saveStateToFile();
-  QOpenGLWidget::closeEvent(e);
-}
 
 /*! Simple wrapper method: calls \c select(event->pos()).
 
@@ -2343,7 +2301,6 @@ void CGAL::QGLViewer::handleKeyboardAction(qglviewer::KeyboardAction id) {
     toggleTextIsEnabled();
     break;
   case qglviewer::EXIT_VIEWER:
-    saveStateToFileForAllViewers();
     qApp->closeAllWindows();
     break;
   case qglviewer::FULL_SCREEN:
@@ -3552,15 +3509,6 @@ void CGAL::QGLViewer::drawGrid(qreal size, int nbSubdivisions) {
 //       S t a t i c    m e t h o d s   :  Q G L V i e w e r   P o o l        //
 ////////////////////////////////////////////////////////////////////////////////
 
-/*! saveStateToFile() is called on all the CGAL::QGLViewers using the QGLViewerPool().
- */
-CGAL_INLINE_FUNCTION
-void CGAL::QGLViewer::saveStateToFileForAllViewers() {
-  Q_FOREACH (CGAL::QGLViewer *viewer, CGAL::QGLViewer::QGLViewerPool()) {
-    if (viewer)
-      viewer->saveStateToFile();
-  }
-}
 
 CGAL_INLINE_FUNCTION
 void CGAL::QGLViewer::copyBufferToTexture(GLint , GLenum ) {
diff --git a/GraphicsView/include/CGAL/Qt/quaternion_impl.h b/GraphicsView/include/CGAL/Qt/quaternion_impl.h
index cf520688276..bd719acfbfe 100644
--- a/GraphicsView/include/CGAL/Qt/quaternion_impl.h
+++ b/GraphicsView/include/CGAL/Qt/quaternion_impl.h
@@ -20,7 +20,6 @@
 #endif
 #include <CGAL/number_type_config.h>
 #include <CGAL/Qt/quaternion.h>
-#include <CGAL/Qt/domUtils.h>
 #include <stdlib.h> // RAND_MAX
 
 // All the methods are declared inline in Quaternion.h
diff --git a/GraphicsView/include/CGAL/Qt/vec_impl.h b/GraphicsView/include/CGAL/Qt/vec_impl.h
index ed7911d0f19..4ab54771d68 100644
--- a/GraphicsView/include/CGAL/Qt/vec_impl.h
+++ b/GraphicsView/include/CGAL/Qt/vec_impl.h
@@ -20,7 +20,6 @@
 #endif
 
 #include <CGAL/Qt/vec.h>
-#include <CGAL/Qt/domUtils.h>
 
 // Most of the methods are declared inline in vec.h
 
diff --git a/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h b/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
index db5a49f847f..e7f6ca25d77 100644
--- a/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
+++ b/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
@@ -884,7 +884,6 @@ protected:
   virtual void init()
   {
     // Restore previous viewer state.
-    restoreStateFromFile();
     initializeOpenGLFunctions();
 
     // Define 'Control+Q' as the new exit shortcut (default was 'Escape')
diff --git a/Polyhedron/demo/Polyhedron/MainWindow.cpp b/Polyhedron/demo/Polyhedron/MainWindow.cpp
index 7b501434fe7..fe0544063a2 100644
--- a/Polyhedron/demo/Polyhedron/MainWindow.cpp
+++ b/Polyhedron/demo/Polyhedron/MainWindow.cpp
@@ -3219,8 +3219,6 @@ void MainWindow::setDefaultSaveDir()
 
 void MainWindow::setupViewer(Viewer* viewer, SubViewer* subviewer)
 {
-  // do not save the state of the viewer (anoying)
-  viewer->setStateFileName(QString());
   viewer->textRenderer()->setScene(scene);
   viewer->setScene(scene);
   connect(scene, SIGNAL(dataChanged(const QModelIndex &, const QModelIndex & )),

From 602b8d6951f6529cfb4820ff14f0600f6ed862fd Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 9 Feb 2021 14:44:16 +0100
Subject: [PATCH 295/317] Restore missing deps info in installation if running
 testsuite

---
 Installation/CMakeLists.txt | 19 +++++++++++++++++++
 1 file changed, 19 insertions(+)

diff --git a/Installation/CMakeLists.txt b/Installation/CMakeLists.txt
index fc18bc69bbb..e47e1b0531c 100644
--- a/Installation/CMakeLists.txt
+++ b/Installation/CMakeLists.txt
@@ -1298,3 +1298,22 @@ if(NOT CGAL_BRANCH_BUILD AND EXISTS "${CMAKE_CURRENT_SOURCE_DIR}/doc")
   # in a non-branch build this is the top-level CMakeLists.txt
   add_subdirectory("${CMAKE_CURRENT_SOURCE_DIR}/doc")
 endif()
+
+#print some info about versions
+if(RUNNING_CGAL_AUTO_TEST)
+  find_package(Qt5 QUIET COMPONENTS Core)
+  if(NOT CGAL_DISABLE_GMP)
+    find_package(GMP)
+    find_package(MPFR)
+    find_package(Boost)
+    get_dependency_version(GMP)
+    get_dependency_version(MPFR)
+    message(
+      STATUS
+        "USING BOOST_VERSION = '${Boost_MAJOR_VERSION}.${Boost_MINOR_VERSION}.${Boost_SUBMINOR_VERSION}'"
+    )
+    if(Qt5_FOUND)
+      message(STATUS "USING Qt5_VERSION = '${Qt5Core_VERSION_STRING}'")
+    endif()#Qt5_FOUND
+  endif()#NOT CGAL_DISABLE_GMP
+endif()#RUNNING_CGAL_AUTO_TEST

From b5ead138030a00b2bebf93e30013fd867d44477f Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 9 Feb 2021 14:57:50 +0100
Subject: [PATCH 296/317] add leda

---
 Installation/CMakeLists.txt | 18 ++++++++++--------
 1 file changed, 10 insertions(+), 8 deletions(-)

diff --git a/Installation/CMakeLists.txt b/Installation/CMakeLists.txt
index e47e1b0531c..a8a430ee3bc 100644
--- a/Installation/CMakeLists.txt
+++ b/Installation/CMakeLists.txt
@@ -1302,18 +1302,20 @@ endif()
 #print some info about versions
 if(RUNNING_CGAL_AUTO_TEST)
   find_package(Qt5 QUIET COMPONENTS Core)
+  find_package(Boost)
   if(NOT CGAL_DISABLE_GMP)
     find_package(GMP)
     find_package(MPFR)
-    find_package(Boost)
     get_dependency_version(GMP)
     get_dependency_version(MPFR)
-    message(
-      STATUS
-        "USING BOOST_VERSION = '${Boost_MAJOR_VERSION}.${Boost_MINOR_VERSION}.${Boost_SUBMINOR_VERSION}'"
-    )
-    if(Qt5_FOUND)
-      message(STATUS "USING Qt5_VERSION = '${Qt5Core_VERSION_STRING}'")
-    endif()#Qt5_FOUND
+  elseif(WITH_LEDA)#CGAL_DISABLE_GMP
+    find_package(LEDA)
   endif()#NOT CGAL_DISABLE_GMP
+  message(
+    STATUS
+    "USING BOOST_VERSION = '${Boost_MAJOR_VERSION}.${Boost_MINOR_VERSION}.${Boost_SUBMINOR_VERSION}'"
+    )
+  if(Qt5_FOUND)
+    message(STATUS "USING Qt5_VERSION = '${Qt5Core_VERSION_STRING}'")
+  endif()#Qt5_FOUND
 endif()#RUNNING_CGAL_AUTO_TEST

From 519870c4cbf6d04ee6931f0f8b8680940bd61e33 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Tue, 9 Feb 2021 15:38:08 +0100
Subject: [PATCH 297/317] Add support for MSVC 2015

MSVC 2015 has a partial support for C++14, and in particular for C++14
`constexpr` functions. Since Boost-1.57 (that is the minimal
requirement for CGAL since version 5.0), `<boost/config.hpp>` has a
macro `BOOST_CXX14_CONSTEXPR` that can be either `constexpr` for
fully-C++14 compilers, or empty for non-compliant compilers.
---
 STL_Extension/include/CGAL/array.h | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

diff --git a/STL_Extension/include/CGAL/array.h b/STL_Extension/include/CGAL/array.h
index 5a80d1335fe..1693c6994e8 100644
--- a/STL_Extension/include/CGAL/array.h
+++ b/STL_Extension/include/CGAL/array.h
@@ -46,7 +46,8 @@ namespace CGAL {
 // It's also untrue that this is not documented...  It is !
 
 template< typename T, typename... Args >
-constexpr std::array< T, 1 + sizeof...(Args) >
+BOOST_CXX14_CONSTEXPR
+std::array< T, 1 + sizeof...(Args) >
 make_array(const T & t, const Args & ... args)
 {
   std::array< T, 1 + sizeof...(Args) > a = { { t, static_cast<T>(args)... } };

From 363b8400ddbf3ecccc020822abadff435cff34d2 Mon Sep 17 00:00:00 2001
From: Maxime GIMENO <maxime.gimeno@gmail.com>
Date: Wed, 10 Feb 2021 08:35:07 +0100
Subject: [PATCH 298/317] Update Installation/CMakeLists.txt

Co-authored-by: Laurent Rineau <Laurent.Rineau@cgal.org>
---
 Installation/CMakeLists.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Installation/CMakeLists.txt b/Installation/CMakeLists.txt
index a8a430ee3bc..6bc26431c22 100644
--- a/Installation/CMakeLists.txt
+++ b/Installation/CMakeLists.txt
@@ -1300,7 +1300,7 @@ if(NOT CGAL_BRANCH_BUILD AND EXISTS "${CMAKE_CURRENT_SOURCE_DIR}/doc")
 endif()
 
 #print some info about versions
-if(RUNNING_CGAL_AUTO_TEST)
+if(RUNNING_CGAL_AUTO_TEST OR CGAL_TEST_SUITE)
   find_package(Qt5 QUIET COMPONENTS Core)
   find_package(Boost)
   if(NOT CGAL_DISABLE_GMP)

From 0e4345741c7fb24373350c512feee798356749a1 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 10 Feb 2021 08:54:26 +0100
Subject: [PATCH 299/317] Do the cpp too

---
 AABB_tree/demo/AABB_tree/MainWindow.cpp                       | 2 --
 Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp           | 2 --
 .../periodic_3_triangulation_3_demo.cpp                       | 2 --
 .../demo/Principal_component_analysis/MainWindow.cpp          | 3 ---
 Surface_mesher/demo/Surface_mesher/viewer.cpp                 | 4 +---
 5 files changed, 1 insertion(+), 12 deletions(-)

diff --git a/AABB_tree/demo/AABB_tree/MainWindow.cpp b/AABB_tree/demo/AABB_tree/MainWindow.cpp
index 78a8336f076..bde07b1b29f 100644
--- a/AABB_tree/demo/AABB_tree/MainWindow.cpp
+++ b/AABB_tree/demo/AABB_tree/MainWindow.cpp
@@ -22,8 +22,6 @@ MainWindow::MainWindow(QWidget* parent)
   // saves some pointers from ui, for latter use.
   m_pViewer = ui->viewer;
 
-  // does not save the state of the viewer
-  m_pViewer->setStateFileName(QString());
 
   // accepts drop events
   setAcceptDrops(true);
diff --git a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
index aa5a06c1354..38e0a192414 100644
--- a/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
+++ b/Circular_kernel_3/demo/Circular_kernel_3/Viewer.cpp
@@ -679,8 +679,6 @@ void Viewer::compute_elements()
     {
         pos_points.resize(0);
         pos_lines.resize(0);
-        // Restore previous viewer state.
-        restoreStateFromFile();
 
         //random generator of points within a sphere
         typedef CGAL::Creator_uniform_3<EPIC::FT,EPIC::Point_3>   Creator;
diff --git a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
index 2cf672fdb48..d58698f0883 100644
--- a/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
+++ b/Periodic_3_triangulation_3/demo/Periodic_3_triangulation_3/periodic_3_triangulation_3_demo.cpp
@@ -8,8 +8,6 @@ int main(int argc, char *argv[])
   CGAL::Qt::init_ogl_context(2,1);
   QApplication a(argc, argv);
   MainWindow w;
-  //w.ui->setupUi(w);
-  w.ui->viewer->restoreStateFromFile();
 
   w.show();
 
diff --git a/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp b/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp
index 13dde23e2a2..540480e4926 100644
--- a/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp
+++ b/Principal_component_analysis/demo/Principal_component_analysis/MainWindow.cpp
@@ -25,9 +25,6 @@ MainWindow::MainWindow(QWidget* parent)
         // saves some pointers from ui, for latter use.
         m_pViewer = ui->viewer;
 
-        // does not save the state of the viewer
-        m_pViewer->setStateFileName(QString());
-
         // accepts drop events
         setAcceptDrops(true);
 
diff --git a/Surface_mesher/demo/Surface_mesher/viewer.cpp b/Surface_mesher/demo/Surface_mesher/viewer.cpp
index 70d0ebe6cd4..0cde258c258 100644
--- a/Surface_mesher/demo/Surface_mesher/viewer.cpp
+++ b/Surface_mesher/demo/Surface_mesher/viewer.cpp
@@ -4,10 +4,8 @@
 #include <CGAL/Qt/manipulatedCameraFrame.h>
 
 Viewer::Viewer(QWidget* parent)
-  : CGAL::QGLViewer(parent), surface(0)
+  : CGAL::QGLViewer(parent), surface(nullptr)
 {
-  // Do not store state in a file
-  setStateFileName("");
 }
 
 void Viewer::init()

From 6335c1068c69ba63cee0f97e8ee5e4222ba06dd4 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Wed, 10 Feb 2021 10:53:37 +0000
Subject: [PATCH 300/317] Advance copies of the iterator

---
 Nef_3/include/CGAL/normal_vector_newell_3.h | 9 +++++++--
 1 file changed, 7 insertions(+), 2 deletions(-)

diff --git a/Nef_3/include/CGAL/normal_vector_newell_3.h b/Nef_3/include/CGAL/normal_vector_newell_3.h
index 95810d73e7e..195144f0f4a 100644
--- a/Nef_3/include/CGAL/normal_vector_newell_3.h
+++ b/Nef_3/include/CGAL/normal_vector_newell_3.h
@@ -112,11 +112,13 @@ void normal_vector_newell_3( IC first, IC last, Vector& n )
     // three.
 {
     CGAL_assertion( !CGAL::is_empty_range( first, last));
+
     if(internal_nef::is_triangle_3(first)) {
-      n = orthogonal_vector(*first,*(++first),*(++first));
+      n = orthogonal_vector(*first,*(std::next(first)),*(std__next(first,2)));
       return;
     }
 
+
     typedef typename Kernel_traits<Vector>::Kernel R;
     // Compute facet normals via the Newell-method as described in
     // Filippo Tampieri: Newell's Method for Computing the Plane
@@ -140,11 +142,14 @@ template <class IC, class Vector, class VertexPointMap>
 void normal_vector_newell_3( IC first, IC last, VertexPointMap vpm, Vector& n )
 {
     CGAL_assertion( !CGAL::is_empty_range( first, last));
+
     if(internal_nef::is_triangle_3(first)) {
-      n = orthogonal_vector(get(vpm,*first),get(vpm,*(++first)),get(vpm,*(++first)));
+
+      n = orthogonal_vector(get(vpm,*first),get(vpm,*(std::next(first))),get(vpm,*(std::next(first,2))));
       return;
     }
 
+
     typedef typename Kernel_traits<Vector>::Kernel R;
     // Compute facet normals via the Newell-method as described in
     // Filippo Tampieri: Newell's Method for Computing the Plane

From 5345986827c6435ebeef06b556ed2113419187e2 Mon Sep 17 00:00:00 2001
From: Andreas Fabri <andreas.fabri@geometryfactory.com>
Date: Wed, 10 Feb 2021 11:13:14 +0000
Subject: [PATCH 301/317] Fix typo in  Homogeneous case (which I hadn't tested)

---
 Nef_3/include/CGAL/normal_vector_newell_3.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Nef_3/include/CGAL/normal_vector_newell_3.h b/Nef_3/include/CGAL/normal_vector_newell_3.h
index 195144f0f4a..80874a1efa1 100644
--- a/Nef_3/include/CGAL/normal_vector_newell_3.h
+++ b/Nef_3/include/CGAL/normal_vector_newell_3.h
@@ -114,7 +114,7 @@ void normal_vector_newell_3( IC first, IC last, Vector& n )
     CGAL_assertion( !CGAL::is_empty_range( first, last));
 
     if(internal_nef::is_triangle_3(first)) {
-      n = orthogonal_vector(*first,*(std::next(first)),*(std__next(first,2)));
+      n = orthogonal_vector(*first,*(std::next(first)),*(std::next(first,2)));
       return;
     }
 

From 08ea69f57c0ed1347e3e5609b422aa5add169dbd Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 10 Feb 2021 13:43:25 +0100
Subject: [PATCH 302/317] More remaining xml

---
 .../cmake/modules/CGAL_SetupCGAL_Qt5Dependencies.cmake      | 6 +++---
 Polyhedron/demo/Polyhedron/CMakeLists.txt                   | 2 +-
 2 files changed, 4 insertions(+), 4 deletions(-)

diff --git a/Installation/cmake/modules/CGAL_SetupCGAL_Qt5Dependencies.cmake b/Installation/cmake/modules/CGAL_SetupCGAL_Qt5Dependencies.cmake
index 1bd28be9865..7ff7dde7a48 100644
--- a/Installation/cmake/modules/CGAL_SetupCGAL_Qt5Dependencies.cmake
+++ b/Installation/cmake/modules/CGAL_SetupCGAL_Qt5Dependencies.cmake
@@ -24,7 +24,7 @@ set(CGAL_SetupCGAL_Qt5Dependencies_included TRUE)
 # Used Modules
 # ^^^^^^^^^^^^
 #   - :module:`Qt5Config`
-find_package(Qt5 QUIET COMPONENTS OpenGL Svg Xml)
+find_package(Qt5 QUIET COMPONENTS OpenGL Svg)
 
 set(CGAL_Qt5_MISSING_DEPS "")
 if(NOT Qt5OpenGL_FOUND)
@@ -75,7 +75,7 @@ if(NOT CGAL_Qt5_MISSING_DEPS)
       POSITION_INDEPENDENT_CODE TRUE
       EXCLUDE_FROM_ALL TRUE
       AUTOMOC TRUE)
-    target_link_libraries(CGAL_Qt5_moc_and_resources CGAL::CGAL Qt5::Widgets Qt5::OpenGL Qt5::Svg Qt5::Xml)
+    target_link_libraries(CGAL_Qt5_moc_and_resources CGAL::CGAL Qt5::Widgets Qt5::OpenGL Qt5::Svg )
 
     add_library(CGAL::CGAL_Qt5_moc_and_resources ALIAS CGAL_Qt5_moc_and_resources)
     add_library(CGAL::Qt5_moc_and_resources ALIAS CGAL_Qt5_moc_and_resources)
@@ -112,7 +112,7 @@ function(CGAL_setup_CGAL_Qt5_dependencies target)
   endif()
   target_link_libraries( ${target} INTERFACE CGAL::CGAL)
   target_link_libraries( ${target} INTERFACE CGAL::Qt5_moc_and_resources)
-  target_link_libraries( ${target} INTERFACE Qt5::OpenGL Qt5::Svg Qt5::Xml)
+  target_link_libraries( ${target} INTERFACE Qt5::OpenGL Qt5::Svg )
 
   # Remove -Wdeprecated-copy, for g++ >= 9.0, because Qt5, as of
   # version 5.12, has a lot of [-Wdeprecated-copy] warnings.
diff --git a/Polyhedron/demo/Polyhedron/CMakeLists.txt b/Polyhedron/demo/Polyhedron/CMakeLists.txt
index be375bd9d7b..70a23543a4e 100644
--- a/Polyhedron/demo/Polyhedron/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/CMakeLists.txt
@@ -216,7 +216,7 @@ if(CGAL_Qt5_FOUND AND Qt5_FOUND)
     Primitive_container.cpp
     Polyhedron_demo_plugin_helper.cpp
     CGAL_double_edit.cpp)
-  target_link_libraries(demo_framework PUBLIC Qt5::OpenGL Qt5::Widgets Qt5::Gui Qt5::Xml
+  target_link_libraries(demo_framework PUBLIC Qt5::OpenGL Qt5::Widgets Qt5::Gui
                                               Qt5::Script CGAL::CGAL_Qt5)
   if(TARGET Qt5::WebSockets)
     target_link_libraries(demo_framework PUBLIC Qt5::WebSockets)

From 5835698fe2ca396206d33da57be5a563921adcf3 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Wed, 10 Feb 2021 15:42:29 +0100
Subject: [PATCH 303/317] no ref on temporary

---
 Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h b/Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h
index 19bb594e35e..bc66737a111 100644
--- a/Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h
+++ b/Mesh_3/include/CGAL/Mesh_3/experimental/Facet_patch_id_map.h
@@ -54,7 +54,7 @@ struct Facet_patch_id_map<MeshDomain, Primitive, false>
 {
   typedef typename MeshDomain::AABB_primitive::Id Id;
   typedef typename MeshDomain::Patch_id value_type;
-  typedef const value_type& reference;
+  typedef value_type reference;
   typedef typename MeshDomain::AABB_primitive::Id key_type;
   typedef boost::readable_property_map_tag category;
 

From 160118e7e9c3dd07b970b9014c563587199263b8 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <laurent.rineau@cgal.org>
Date: Thu, 11 Feb 2021 14:36:26 +0100
Subject: [PATCH 304/317] Fix a warning from MSVC 2015

    include\CGAL/array.h(67): warning C4814:
     'CGAL::Construct_array::operator ()': in C++14 'constexpr' will
     not imply 'const'; consider explicitly specifying 'const'

It cannot harm.
---
 STL_Extension/include/CGAL/array.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/STL_Extension/include/CGAL/array.h b/STL_Extension/include/CGAL/array.h
index 1693c6994e8..cfaca0a0550 100644
--- a/STL_Extension/include/CGAL/array.h
+++ b/STL_Extension/include/CGAL/array.h
@@ -61,7 +61,7 @@ struct Construct_array
   template <typename T, typename... Args>
   constexpr
   std::array<T, 1 + sizeof...(Args)>
-  operator()(const T& t, const Args& ... args)
+  operator()(const T& t, const Args& ... args) const
   {
     return make_array (t, args...);
   }

From 487e6cad1013bae6fbf5ef7be04142b0852a9986 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Thu, 11 Feb 2021 14:55:23 +0100
Subject: [PATCH 305/317] use WITH_tests=ON in run_testsuite-with_ctest instead
 of OFF to get the USING XXX (in full header mode, configuring only cgal won't
 "fetch" the dependencies because of the lack of add_executbale or
 add_library)

---
 .../run_testsuite_with_ctest                  | 24 +++++++++----------
 1 file changed, 12 insertions(+), 12 deletions(-)

diff --git a/Scripts/developer_scripts/run_testsuite_with_ctest b/Scripts/developer_scripts/run_testsuite_with_ctest
index 06ccd107d37..e22f8074a49 100644
--- a/Scripts/developer_scripts/run_testsuite_with_ctest
+++ b/Scripts/developer_scripts/run_testsuite_with_ctest
@@ -176,7 +176,7 @@ setup_dirs()
   if [ -n "${USE_REFERENCE_PLATFORMS}" ]; then
     collect_all_reference_platforms
   fi
-  
+
   for PLATFORM in ${PLATFORMS}; do
 
     CGAL_BINARY_DIR=${CGAL_BINARY_DIR_BASE}/${PLATFORM}
@@ -226,9 +226,9 @@ publish_results()
   ${TAR} cf "test_results-${HOST}_${PLATFORM}.tar" "results_${CGAL_TESTER}_${PLATFORM}.tar.gz" "results_${CGAL_TESTER}_${PLATFORM}.txt"
   ${COMPRESSOR} -9f "test_results-${HOST}_${PLATFORM}.tar"
   COMPILER=`printf "%s" "$1" | tr -c '[A-Za-z0-9]./[=-=]*_\'\''\":?() ' 'x'`
-  
+
   FILENAME="${CGAL_RELEASE_ID}_${CGAL_TESTER}-test`datestr`-${COMPILER}-cmake.tar.gz"
-  
+
   LOGFILENAME="${CGAL_RELEASE_ID}-log`datestr`-${HOST}.gz"
   ${COMPRESSOR} -9f "${ACTUAL_LOGFILE}.test.${PLATFORM}"
   mv "${ACTUAL_LOGFILE}.test.${PLATFORM}.gz" "${LOGS_DIR}/${LOGFILENAME}"
@@ -262,7 +262,7 @@ run_test_on_platform()
   if [ ! -f "${INIT_FILE}" ]; then
     echo "error NEED A INIT FILE !"
   fi
-  cmake ${INIT_FILE:+"-C${INIT_FILE}"} '${CMAKE_GENERATOR}' -DBUILD_TESTING=OFF -DWITH_tests=OFF $CGAL_DIR>installation.log 2>&1
+  cmake ${INIT_FILE:+"-C${INIT_FILE}"} '${CMAKE_GENERATOR}' -DBUILD_TESTING=OFF -DWITH_tests=ON $CGAL_DIR>installation.log 2>&1
   rm CMakeCache.txt
   CMAKE_OPTS="-DCGAL_TEST_SUITE=ON -DCMAKE_VERBOSE_MAKEFILE=ON"
   if [ -n "${SCRIPTS_DIR}" ]; then
@@ -279,7 +279,7 @@ run_test_on_platform()
   fi
   INIT=""
   for pkg in $LIST_TEST_PACKAGES; do
-    if [ -z "$INIT" ]; then 
+    if [ -z "$INIT" ]; then
       TO_TEST=$pkg
       INIT="y"
     else
@@ -313,14 +313,14 @@ run_test_on_platform()
   echo "TESTER_NAME ${CGAL_TESTER}" >> "$RESULT_FILE"
   echo "TESTER_ADDRESS ${TESTER_ADDRESS}" >> "$RESULT_FILE"
   echo "CGAL_TEST_PLATFORM ${PLATFORM}" >> "$RESULT_FILE"
-  grep -e "^-- USING " "${CGAL_BINARY_DIR}/installation.log" >> $RESULT_FILE 
+  grep -e "^-- USING " "${CGAL_BINARY_DIR}/installation.log" >> $RESULT_FILE
   echo "------------" >> "$RESULT_FILE"
   #if git branch, create empty scm file for python script
   if [ -n "${SCRIPTS_DIR}" ]; then
     touch ../../../../../.scm-branch
   fi
   python3 ${CGAL_DIR}/${TESTSUITE_DIR}test/parse-ctest-dashboard-xml.py $CGAL_TESTER $PLATFORM
-  
+
   for file in $(ls|grep _Tests); do
     mv $file "$(echo "$file" | sed 's/_Tests//g')"
   done
@@ -329,7 +329,7 @@ run_test_on_platform()
   mkdir -p Installation
   chmod 777 Installation
   cat "${CGAL_BINARY_DIR}/package_installation.log" >> "Installation/${TEST_REPORT}"
-  
+
   #call the python script to complete the results report.
   python3 ${CGAL_DIR}/${TESTSUITE_DIR}test/post_process_ctest_results.py Installation/${TEST_REPORT} ${TEST_REPORT} results_${CGAL_TESTER}_${PLATFORM}.txt
   rm -f $OUTPUT_FILE $OUTPUT_FILE.gz
@@ -351,7 +351,7 @@ run_test_on_host()
     collect_all_current_platforms "${CGAL_BINARY_DIR_BASE}"
   fi
 
-  for PLATFORM in ${PLATFORMS}; do  
+  for PLATFORM in ${PLATFORMS}; do
     run_test_on_platform "${PLATFORM}"
     publish_results "${PLATFORM}"
     if [ -z "${KEEP_TESTS}" ]; then
@@ -365,13 +365,13 @@ run_test_on_host()
 setup_dirs
 
 
-# Setup cmake 
+# Setup cmake
 if uname | grep -q "CYGWIN"; then
   JOM="`which jom`"
-  if [ -e "$JOM" ]; then 
+  if [ -e "$JOM" ]; then
     CMAKE_GENERATOR='-GNMake Makefiles JOM'
     MAKE_CMD='jom'
-  else 
+  else
     CMAKE_GENERATOR='-GNMake Makefiles'
     MAKE_CMD='nmake'
   fi

From 1a0dfe9703df8bc3264eae36a2c301dea2b3b1a9 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Fri, 12 Feb 2021 08:51:23 +0100
Subject: [PATCH 306/317] Fix installation logs

---
 Scripts/developer_scripts/run_testsuite_with_ctest | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Scripts/developer_scripts/run_testsuite_with_ctest b/Scripts/developer_scripts/run_testsuite_with_ctest
index e22f8074a49..f7b740d5b94 100644
--- a/Scripts/developer_scripts/run_testsuite_with_ctest
+++ b/Scripts/developer_scripts/run_testsuite_with_ctest
@@ -262,7 +262,7 @@ run_test_on_platform()
   if [ ! -f "${INIT_FILE}" ]; then
     echo "error NEED A INIT FILE !"
   fi
-  cmake ${INIT_FILE:+"-C${INIT_FILE}"} '${CMAKE_GENERATOR}' -DBUILD_TESTING=OFF -DWITH_tests=ON $CGAL_DIR>installation.log 2>&1
+  cmake ${INIT_FILE:+"-C${INIT_FILE}"} '${CMAKE_GENERATOR}' -DBUILD_TESTING=ON -DWITH_tests=ON -DCGAL_TEST_SUITE=ON $CGAL_DIR>installation.log 2>&1
   rm CMakeCache.txt
   CMAKE_OPTS="-DCGAL_TEST_SUITE=ON -DCMAKE_VERBOSE_MAKEFILE=ON"
   if [ -n "${SCRIPTS_DIR}" ]; then

From cd37d33a3073b6c2ff39f0f0d0df69734f127f98 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 12 Feb 2021 15:07:01 +0100
Subject: [PATCH 307/317] hilbert sort, added a visibility macro with the
 hidden option

---
 Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

diff --git a/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h b/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
index 0ea51bb24bc..832c65ca155 100644
--- a/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
+++ b/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
@@ -83,8 +83,12 @@ struct Hilbert_cmp_3<K,2,false>
 
 } // namespace internal
 
+#ifdef __clang__
+#define CGAL_VISIBILITY_MACRO __attribute__ ((visibility ("hidden")))
+#endif
+
 template <class K, class ConcurrencyTag>
-class Hilbert_sort_median_3
+class CGAL_VISIBILITY_MACRO Hilbert_sort_median_3
 {
 public:
   typedef Hilbert_sort_median_3<K, ConcurrencyTag> Self;

From 0b23a661178df1bedc402f22d77bd4d40d2c1a3d Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 12 Feb 2021 15:23:52 +0100
Subject: [PATCH 308/317] missing default visibility

---
 Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h b/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
index 832c65ca155..22edb791b2a 100644
--- a/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
+++ b/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
@@ -85,6 +85,8 @@ struct Hilbert_cmp_3<K,2,false>
 
 #ifdef __clang__
 #define CGAL_VISIBILITY_MACRO __attribute__ ((visibility ("hidden")))
+#else
+#define CGAL_VISIBILITY_MACRO __attribute__ ((visibility ("default")))
 #endif
 
 template <class K, class ConcurrencyTag>

From 6b5e04a3c74fa037d12426ceaaa9d71c3bf5a396 Mon Sep 17 00:00:00 2001
From: Dmitry Anisimov <danston@ymail.com>
Date: Fri, 12 Feb 2021 15:52:47 +0100
Subject: [PATCH 309/317] changed to empty macro for other platforms

---
 Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h b/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
index 22edb791b2a..324a8bdb060 100644
--- a/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
+++ b/Spatial_sorting/include/CGAL/Hilbert_sort_median_3.h
@@ -86,7 +86,7 @@ struct Hilbert_cmp_3<K,2,false>
 #ifdef __clang__
 #define CGAL_VISIBILITY_MACRO __attribute__ ((visibility ("hidden")))
 #else
-#define CGAL_VISIBILITY_MACRO __attribute__ ((visibility ("default")))
+#define CGAL_VISIBILITY_MACRO
 #endif
 
 template <class K, class ConcurrencyTag>

From a74914ecbd0afdc9fccd9175269c3742e0b0cf2a Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 15 Feb 2021 15:18:02 +0100
Subject: [PATCH 310/317] Fix warning null pointer

---
 GraphicsView/include/CGAL/Qt/camera_impl.h | 9 ++++++---
 1 file changed, 6 insertions(+), 3 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/camera_impl.h b/GraphicsView/include/CGAL/Qt/camera_impl.h
index 6629dd99994..709409f1609 100644
--- a/GraphicsView/include/CGAL/Qt/camera_impl.h
+++ b/GraphicsView/include/CGAL/Qt/camera_impl.h
@@ -883,10 +883,13 @@ void Camera::interpolateTo(const Frame &fr, qreal duration) {
  imprecision along the viewing direction. */
 CGAL_INLINE_FUNCTION
 Vec Camera::pointUnderPixel(const QPoint &pixel, bool &found) const {
-  float depth;
+  float depth = 2.0;
   // Qt uses upper corner for its origin while GL uses the lower corner.
-  dynamic_cast<QOpenGLFunctions*>(parent())->glReadPixels(pixel.x(), screenHeight() - 1 - pixel.y(), 1, 1,
-               GL_DEPTH_COMPONENT, GL_FLOAT, &depth);
+  if(parent())
+  {
+    dynamic_cast<QOpenGLFunctions*>(parent())->glReadPixels(pixel.x(), screenHeight() - 1 - pixel.y(), 1, 1,
+                                                            GL_DEPTH_COMPONENT, GL_FLOAT, &depth);
+  }
   found = depth < 1.0;
   Vec point(pixel.x(), pixel.y(), depth);
   point = unprojectedCoordinatesOf(point);

From 4a6aa7e0247b9c595513562bf193b864c6717bb9 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Mon, 15 Feb 2021 15:21:23 +0100
Subject: [PATCH 311/317] use Qt::MiddleButton instead of MidButton(deprecated
 since 5.6 or earlier)

---
 GraphicsView/include/CGAL/Qt/qglviewer_impl.h | 18 +++++++++---------
 1 file changed, 9 insertions(+), 9 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
index 5e6ab9dae8a..9d77b64eb57 100644
--- a/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
+++ b/GraphicsView/include/CGAL/Qt/qglviewer_impl.h
@@ -715,7 +715,7 @@ void CGAL::QGLViewer::setDefaultMouseBindings() {
         (mh == qglviewer::FRAME) ? frameKeyboardModifiers : cameraKeyboardModifiers;
 
     setMouseBinding(modifiers, ::Qt::LeftButton, mh, qglviewer::ROTATE);
-    setMouseBinding(modifiers, ::Qt::MidButton, mh, qglviewer::ZOOM);
+    setMouseBinding(modifiers, ::Qt::MiddleButton, mh, qglviewer::ZOOM);
     setMouseBinding(modifiers, ::Qt::RightButton, mh, qglviewer::TRANSLATE);
 
     setMouseBinding(::Qt::Key_R, modifiers, ::Qt::LeftButton, mh, qglviewer::SCREEN_ROTATE);
@@ -724,7 +724,7 @@ void CGAL::QGLViewer::setDefaultMouseBindings() {
   }
 
   // Z o o m   o n   r e g i o n
-  setMouseBinding(::Qt::ShiftModifier, ::Qt::MidButton, qglviewer::CAMERA, qglviewer::ZOOM_ON_REGION);
+  setMouseBinding(::Qt::ShiftModifier, ::Qt::MiddleButton, qglviewer::CAMERA, qglviewer::ZOOM_ON_REGION);
 
   // S e l e c t
   setMouseBinding(::Qt::ShiftModifier, ::Qt::LeftButton, qglviewer::SELECT);
@@ -732,7 +732,7 @@ void CGAL::QGLViewer::setDefaultMouseBindings() {
   setMouseBinding(::Qt::ShiftModifier, ::Qt::RightButton, qglviewer::RAP_FROM_PIXEL);
   // D o u b l e   c l i c k
   setMouseBinding(::Qt::NoModifier, ::Qt::LeftButton, qglviewer::ALIGN_CAMERA, true);
-  setMouseBinding(::Qt::NoModifier, ::Qt::MidButton, qglviewer::SHOW_ENTIRE_SCENE, true);
+  setMouseBinding(::Qt::NoModifier, ::Qt::MiddleButton, qglviewer::SHOW_ENTIRE_SCENE, true);
   setMouseBinding(::Qt::NoModifier, ::Qt::RightButton, qglviewer::CENTER_SCENE, true);
 
   setMouseBinding(frameKeyboardModifiers, ::Qt::LeftButton, qglviewer::ALIGN_FRAME, true);
@@ -1198,7 +1198,7 @@ static QString mouseButtonsString(::Qt::MouseButtons b) {
     result += CGAL::QGLViewer::tr("Left", "left mouse button");
     addAmpersand = true;
   }
-  if (b & ::Qt::MidButton) {
+  if (b & ::Qt::MiddleButton) {
     if (addAmpersand)
       result += " & ";
     result += CGAL::QGLViewer::tr("Middle", "middle mouse button");
@@ -1733,7 +1733,7 @@ Mouse tab.
 \c ::Qt::AltModifier, \c ::Qt::ShiftModifier, \c ::Qt::MetaModifier). Possibly
 combined using the \c "|" operator.
 
-\p button is one of the ::Qt::MouseButtons (\c ::Qt::LeftButton, \c ::Qt::MidButton,
+\p button is one of the ::Qt::MouseButtons (\c ::Qt::LeftButton, \c ::Qt::MiddleButton,
 \c ::Qt::RightButton...).
 
 \p doubleClick indicates whether or not the user has to double click this button
@@ -3008,27 +3008,27 @@ void CGAL::QGLViewer::toggleCameraMode() {
     camera()->frame()->stopSpinning();
 
     setMouseBinding(modifiers, ::Qt::LeftButton, qglviewer::CAMERA, qglviewer::MOVE_FORWARD);
-    setMouseBinding(modifiers, ::Qt::MidButton, qglviewer::CAMERA, qglviewer::LOOK_AROUND);
+    setMouseBinding(modifiers, ::Qt::MiddleButton, qglviewer::CAMERA, qglviewer::LOOK_AROUND);
     setMouseBinding(modifiers, ::Qt::RightButton, qglviewer::CAMERA, qglviewer::MOVE_BACKWARD);
 
     setMouseBinding(::Qt::Key_R, modifiers, ::Qt::LeftButton, qglviewer::CAMERA, qglviewer::ROLL);
 
     setMouseBinding(::Qt::NoModifier, ::Qt::LeftButton, qglviewer::NO_CLICK_ACTION, true);
-    setMouseBinding(::Qt::NoModifier, ::Qt::MidButton, qglviewer::NO_CLICK_ACTION, true);
+    setMouseBinding(::Qt::NoModifier, ::Qt::MiddleButton, qglviewer::NO_CLICK_ACTION, true);
     setMouseBinding(::Qt::NoModifier, ::Qt::RightButton, qglviewer::NO_CLICK_ACTION, true);
 
     setWheelBinding(modifiers, qglviewer::CAMERA, qglviewer::MOVE_FORWARD);
   } else {
     // Should stop flyTimer. But unlikely and not easy.
     setMouseBinding(modifiers, ::Qt::LeftButton, qglviewer::CAMERA, qglviewer::ROTATE);
-    setMouseBinding(modifiers, ::Qt::MidButton, qglviewer::CAMERA, qglviewer::ZOOM);
+    setMouseBinding(modifiers, ::Qt::MiddleButton, qglviewer::CAMERA, qglviewer::ZOOM);
     setMouseBinding(modifiers, ::Qt::RightButton, qglviewer::CAMERA, qglviewer::TRANSLATE);
 
     setMouseBinding(::Qt::Key_R, modifiers, ::Qt::LeftButton, qglviewer::CAMERA,
                     qglviewer::SCREEN_ROTATE);
 
     setMouseBinding(::Qt::NoModifier, ::Qt::LeftButton, qglviewer::ALIGN_CAMERA, true);
-    setMouseBinding(::Qt::NoModifier, ::Qt::MidButton, qglviewer::SHOW_ENTIRE_SCENE, true);
+    setMouseBinding(::Qt::NoModifier, ::Qt::MiddleButton, qglviewer::SHOW_ENTIRE_SCENE, true);
     setMouseBinding(::Qt::NoModifier, ::Qt::RightButton, qglviewer::CENTER_SCENE, true);
 
     setWheelBinding(modifiers, qglviewer::CAMERA, qglviewer::ZOOM);

From 692f35a62d5ea2ffa75360d4702a88e1ff66bbcf Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?S=C3=A9bastien=20Loriot?= <sebastien.loriot@cgal.org>
Date: Mon, 15 Feb 2021 17:17:20 +0100
Subject: [PATCH 312/317] fix warnings

---
 .../Polygon_mesh_processing/internal/Corefinement/Visitor.h   | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
index 02692973e93..a50deb6ae03 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@@ -472,7 +472,7 @@ public:
   {
     static const constexpr std::size_t NM_NID((std::numeric_limits<std::size_t>::max)());
 
-    for(const std::pair<const TriangleMesh*, const NM_features_map*>& tm_and_nm :
+    for(const std::pair<const TriangleMesh* const, const NM_features_map*>& tm_and_nm :
         non_manifold_feature_maps)
     {
       TriangleMesh* tm_ptr = const_cast<TriangleMesh*>(tm_and_nm.first);
@@ -485,7 +485,7 @@ public:
         if (eid!=NM_NID)
           edges_to_copy.push_back(std::make_pair(eid,&(ed_and_ids.second)));
       }
-      for(const std::pair<const std::size_t, const Node_ids*>& id_and_nodes : edges_to_copy)
+      for(const std::pair<std::size_t, const Node_ids*>& id_and_nodes : edges_to_copy)
       {
         const std::vector<edge_descriptor>& nm_edges =
           tm_and_nm.second->non_manifold_edges[id_and_nodes.first];

From 0010df67e64bb45e621cdffe85e14569e6d54bb8 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 16 Feb 2021 08:57:47 +0100
Subject: [PATCH 313/317] Remove useless if.

---
 GraphicsView/include/CGAL/Qt/camera_impl.h | 3 ---
 1 file changed, 3 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/camera_impl.h b/GraphicsView/include/CGAL/Qt/camera_impl.h
index 709409f1609..971ae6b1de9 100644
--- a/GraphicsView/include/CGAL/Qt/camera_impl.h
+++ b/GraphicsView/include/CGAL/Qt/camera_impl.h
@@ -885,11 +885,8 @@ CGAL_INLINE_FUNCTION
 Vec Camera::pointUnderPixel(const QPoint &pixel, bool &found) const {
   float depth = 2.0;
   // Qt uses upper corner for its origin while GL uses the lower corner.
-  if(parent())
-  {
     dynamic_cast<QOpenGLFunctions*>(parent())->glReadPixels(pixel.x(), screenHeight() - 1 - pixel.y(), 1, 1,
                                                             GL_DEPTH_COMPONENT, GL_FLOAT, &depth);
-  }
   found = depth < 1.0;
   Vec point(pixel.x(), pixel.y(), depth);
   point = unprojectedCoordinatesOf(point);

From 38f1b179c09693d71fa80f65198d27dcf878a32f Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 16 Feb 2021 09:50:47 +0100
Subject: [PATCH 314/317] Test the dynamic_cast rsult

---
 GraphicsView/include/CGAL/Qt/camera_impl.h | 7 +++++--
 1 file changed, 5 insertions(+), 2 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/camera_impl.h b/GraphicsView/include/CGAL/Qt/camera_impl.h
index 971ae6b1de9..2b815b6fd65 100644
--- a/GraphicsView/include/CGAL/Qt/camera_impl.h
+++ b/GraphicsView/include/CGAL/Qt/camera_impl.h
@@ -885,8 +885,11 @@ CGAL_INLINE_FUNCTION
 Vec Camera::pointUnderPixel(const QPoint &pixel, bool &found) const {
   float depth = 2.0;
   // Qt uses upper corner for its origin while GL uses the lower corner.
-    dynamic_cast<QOpenGLFunctions*>(parent())->glReadPixels(pixel.x(), screenHeight() - 1 - pixel.y(), 1, 1,
-                                                            GL_DEPTH_COMPONENT, GL_FLOAT, &depth);
+  if(auto parent = dynamic_cast<QOpenGLFunctions*>(parent()))
+  {
+    parent->glReadPixels(pixel.x(), screenHeight() - 1 - pixel.y(), 1, 1,
+                         GL_DEPTH_COMPONENT, GL_FLOAT, &depth);
+  }
   found = depth < 1.0;
   Vec point(pixel.x(), pixel.y(), depth);
   point = unprojectedCoordinatesOf(point);

From 90d725f3c0633a3b944cee007a68d0420733d907 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Tue, 16 Feb 2021 15:15:36 +0100
Subject: [PATCH 315/317] fix mesh_estimation

---
 Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt b/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
index 3e5ffb5b93b..d446e62f911 100644
--- a/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
+++ b/Jet_fitting_3/examples/Jet_fitting_3/CMakeLists.txt
@@ -13,8 +13,8 @@ if(TARGET CGAL::Eigen3_support)
   # Link with Boost.ProgramOptions (optional)
   find_package(Boost QUIET COMPONENTS program_options)
 
-  create_single_source_cgal_program("Mesh_estimation.cpp")
   if(Boost_PROGRAM_OPTIONS_FOUND)
+    create_single_source_cgal_program("Mesh_estimation.cpp")
     target_link_libraries(Mesh_estimation PUBLIC CGAL::Eigen3_support)
     if(TARGET Boost::filesystem)
       target_link_libraries(Mesh_estimation PRIVATE Boost::program_options)

From 0a085569bf200e6f5f27f076a1fd48d2ab8a2159 Mon Sep 17 00:00:00 2001
From: Maxime Gimeno <maxime.gimeno@gmail.com>
Date: Wed, 17 Feb 2021 08:37:57 +0100
Subject: [PATCH 316/317] Fix parent error

---
 GraphicsView/include/CGAL/Qt/camera_impl.h | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/GraphicsView/include/CGAL/Qt/camera_impl.h b/GraphicsView/include/CGAL/Qt/camera_impl.h
index 2b815b6fd65..30a56a72988 100644
--- a/GraphicsView/include/CGAL/Qt/camera_impl.h
+++ b/GraphicsView/include/CGAL/Qt/camera_impl.h
@@ -885,10 +885,10 @@ CGAL_INLINE_FUNCTION
 Vec Camera::pointUnderPixel(const QPoint &pixel, bool &found) const {
   float depth = 2.0;
   // Qt uses upper corner for its origin while GL uses the lower corner.
-  if(auto parent = dynamic_cast<QOpenGLFunctions*>(parent()))
+  if(auto p = dynamic_cast<QOpenGLFunctions*>(parent()))
   {
-    parent->glReadPixels(pixel.x(), screenHeight() - 1 - pixel.y(), 1, 1,
-                         GL_DEPTH_COMPONENT, GL_FLOAT, &depth);
+    p->glReadPixels(pixel.x(), screenHeight() - 1 - pixel.y(), 1, 1,
+                    GL_DEPTH_COMPONENT, GL_FLOAT, &depth);
   }
   found = depth < 1.0;
   Vec point(pixel.x(), pixel.y(), depth);

From e011671735901c8605ceb894e6d33b94bee2d245 Mon Sep 17 00:00:00 2001
From: Laurent Rineau <Laurent.Rineau@cgal.org>
Date: Thu, 18 Feb 2021 17:18:05 +0100
Subject: [PATCH 317/317] updated crontab (automated commit)

---
 Maintenance/infrastructure/cgal.geometryfactory.com/crontab | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Maintenance/infrastructure/cgal.geometryfactory.com/crontab b/Maintenance/infrastructure/cgal.geometryfactory.com/crontab
index c023da89fcf..34829fff40e 100644
--- a/Maintenance/infrastructure/cgal.geometryfactory.com/crontab
+++ b/Maintenance/infrastructure/cgal.geometryfactory.com/crontab
@@ -67,7 +67,7 @@ LC_CTYPE=en_US.UTF-8
 18 * * * * $HOME/bin/dump_crontab
 
 # Docker check every hour
-0 * * * * docker inspect --format='{{json .State.Health.Status}}' cgal-mediawiki-docker_wiki_1 | grep -q '"healthy"' || docker logs cgal-mediawiki-docker_wiki_1
+#0 * * * * docker inspect --format='{{json .State.Health.Status}}' cgal-mediawiki-docker_wiki_1 | grep -q '"healthy"' || docker logs cgal-mediawiki-docker_wiki_1
 
 # cgal->cgal2 with git-multimail
 */5 * * * * cd $HOME/Git/cgal-dev-pusher.git      && $HOME/bin/git-fetch-and-push-to-multimail cgal-dev         cgal-dev-receiver