Merge remote-tracking branch 'cgal/master' into HEAD

.github/workflows/build_doc.yml

@@ -75,7 +75,7 @@ jobs:
           sudo apt-get update && sudo apt-get install -y graphviz ssh bibtex2html
           sudo pip install lxml
           sudo pip install pyquery
-          wget --no-verbose -O doxygen_exe https://cgal.geometryfactory.com/~cgaltest/doxygen_1_8_13_patched/doxygen
+          wget --no-verbose -O doxygen_exe https://cgal.geometryfactory.com/~cgaltest/doxygen_1_9_6_patched/doxygen
           sudo mv doxygen_exe /usr/bin/doxygen
           sudo chmod +x /usr/bin/doxygen
           git config --global user.email "cgal@geometryfactory.com"

Algebraic_foundations/doc/Algebraic_foundations/Concepts/AlgebraicStructureTraits.h

@@ -139,7 +139,7 @@ typedef unspecified_type Is_numerical_sensitive;
 This type specifies the return type of the predicates provided
 by this traits. The type must be convertible to `bool` and
 typically the type indeed maps to `bool`. However, there are also
-cases such as interval arithmetic, in which it is `Uncertain<bool>`
+cases such as interval arithmetic, in which it is `CGAL::Uncertain<bool>`
 or some similar type.
 
 */
@@ -300,4 +300,3 @@ typedef unspecified_type Root_of;
 /// @}
 
 }; /* end AlgebraicStructureTraits */
-

Boolean_set_operations_2/include/CGAL/draw_polygon_set_2.h

@@ -17,20 +17,23 @@
 #ifndef CGAL_DRAW_POLYGON_SET_2_H
 #define CGAL_DRAW_POLYGON_SET_2_H
 
-#include <CGAL/draw_polygon_with_holes_2.h>
+#include <CGAL/Qt/Basic_viewer_qt.h>
 
 #ifdef DOXYGEN_RUNNING
 namespace CGAL {
 
 /*!
-\ingroup PkgDrawPolygonSet2
+ * \ingroup PkgDrawPolygonSet2
-
+ *
-opens a new window and draws `aps`, an instance of the `CGAL::Polygon_set_2` class. A call to this function is blocking, that is the program continues as soon as the user closes the window. This function requires `CGAL_Qt5`, and is only available if the macro `CGAL_USE_BASIC_VIEWER` is defined.
+ * opens a new window and draws `aps`, an instance of the `CGAL::Polygon_set_2`
-Linking with the cmake target `CGAL::CGAL_Basic_viewer` will link with `CGAL_Qt5` and add the definition `CGAL_USE_BASIC_VIEWER`.
+ * class. A call to this function is blocking, that is the program continues as
-\tparam PS an instance of the `CGAL::Polygon_set_2` class.
+ * soon as the user closes the window. This function requires `CGAL_Qt5`, and is
-\param aps the polygon set to draw.
+ * only available if the macro `CGAL_USE_BASIC_VIEWER` is defined.  Linking with
-
+ * the cmake target `CGAL::CGAL_Basic_viewer` will link with `CGAL_Qt5` and add
-*/
+ * the definition `CGAL_USE_BASIC_VIEWER`.
+ * \tparam PS an instance of the `CGAL::Polygon_set_2` class.
+ * \param aps the polygon set to draw.
+ */
 template<class PS>
 void draw(const PS& aps);
 
@@ -38,50 +41,174 @@ void draw(const PS& aps);
 #endif
 
 #ifdef CGAL_USE_BASIC_VIEWER
+
+#include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Polygon_set_2.h>
 
-namespace CGAL
+namespace CGAL {
-{
 
-template<class PS2>
+template <typename PolygonSet_2>
-class SimplePolygonSet2ViewerQt :
+class Polygon_set_2_basic_viewer_qt : public Basic_viewer_qt {
-  public SimplePolygonWithHoles2ViewerQt<typename PS2::Polygon_with_holes_2>
+  using Base = Basic_viewer_qt;
-{
+  using Ps = PolygonSet_2;
-  typedef SimplePolygonWithHoles2ViewerQt<typename PS2::Polygon_with_holes_2> Base;
+  using Pwh = typename Ps::Polygon_with_holes_2;
+  using Pgn = typename Ps::Polygon_2;
+  using Pnt = typename Pgn::Point_2;
 
 public:
-  SimplePolygonSet2ViewerQt(QWidget* parent, const PS2& aps2,
+  Polygon_set_2_basic_viewer_qt(QWidget* parent, const Ps& ps,
-                            const char* title="Basic Polygon_set_2 Viewer") :
+                                const char* title = "Basic Polygon_set_2 Viewer",
-    Base(parent, title)
+                                bool draw_unbounded = false,
+                                bool draw_vertices = false) :
+    Base(parent, title, draw_vertices),
+    m_ps(ps),
+    m_draw_unbounded(draw_unbounded)
   {
-    std::vector<typename PS2::Polygon_with_holes_2> polygons;
+    if (ps.is_empty()) return;
-    aps2.polygons_with_holes(std::back_inserter(polygons));
 
-    for (typename PS2::Polygon_with_holes_2& P: polygons) {
+    // mimic the computation of Camera::pixelGLRatio()
-      Base::compute_elements(P);
+    auto bbox = bounding_box();
+    CGAL::qglviewer::Vec minv(bbox.xmin(), bbox.ymin(), 0);
+    CGAL::qglviewer::Vec maxv(bbox.xmax(), bbox.ymax(), 0);
+    auto diameter = (maxv - minv).norm();
+    m_pixel_ratio = diameter / m_height;
+  }
+
+  /*! Intercept the resizing of the window.
+   */
+  virtual void resizeGL(int width, int height) {
+    CGAL::QGLViewer::resizeGL(width, height);
+    m_width = width;
+    m_height = height;
+    CGAL::qglviewer::Vec p;
+    auto ratio = camera()->pixelGLRatio(p);
+    if (ratio != m_pixel_ratio) {
+      m_pixel_ratio = ratio;
+      add_elements();
     }
   }
+
+  /*! Compute the elements of a polygon set.
+   */
+  virtual void add_elements() {
+    clear();
+
+    std::vector<Pwh> pwhs;
+    m_ps.polygons_with_holes(std::back_inserter(pwhs));
+    for (const auto& pwh : pwhs) add_elements(pwh);
+  }
+
+  /*! Obtain the pixel ratio.
+   */
+  double pixel_ratio() const { return m_pixel_ratio; }
+
+  /*! Compute the bounding box.
+   */
+  CGAL::Bbox_2 bounding_box() {
+    Bbox_2 bbox;
+    std::vector<Pwh> pwhs;
+    m_ps.polygons_with_holes(std::back_inserter(pwhs));
+    for (const auto& pwh : pwhs) {
+      if (! pwh.is_unbounded()) {
+        bbox += pwh.outer_boundary().bbox();
+        continue;
+      }
+      for (auto it = pwh.holes_begin(); it != pwh.holes_end(); ++it)
+        bbox += it->bbox();
+    }
+    return bbox;
+  }
+
+protected:
+  /*! Compute the elements of a polygon with holes.
+   */
+  void add_elements(const Pwh& pwh) {
+    if (! m_draw_unbounded && pwh.outer_boundary().is_empty()) return;
+
+    CGAL::IO::Color c(75,160,255);
+    face_begin(c);
+
+    const Pnt* point_in_face;
+    if (pwh.outer_boundary().is_empty()) {
+      Pgn pgn;
+      pgn.push_back(Pnt(-m_width, -m_height));
+      pgn.push_back(Pnt(m_width, -m_height));
+      pgn.push_back(Pnt(m_width, m_height));
+      pgn.push_back(Pnt(-m_width, m_height));
+      compute_loop(pgn, false);
+      point_in_face = &(pgn.vertex(pgn.size()-1));
+    }
+    else {
+      const auto& outer_boundary = pwh.outer_boundary();
+      compute_loop(outer_boundary, false);
+      point_in_face = &(outer_boundary.vertex(outer_boundary.size()-1));
+    }
+
+    for (auto it = pwh.holes_begin(); it != pwh.holes_end(); ++it) {
+      compute_loop(*it, true);
+      add_point_in_face(*point_in_face);
+    }
+
+    face_end();
+  }
+
+  void compute_loop(const Pgn& p, bool hole) {
+    if (hole) add_point_in_face(p.vertex(p.size()-1));
+
+    auto prev = p.vertices_begin();
+    auto it = prev;
+    add_point(*it);
+    add_point_in_face(*it);
+    for (++it; it != p.vertices_end(); ++it) {
+      add_point(*it);           // add vertex
+      add_segment(*prev, *it);  // add segment with previous point
+      add_point_in_face(*it);   // add point in face
+      prev = it;
+    }
+
+    // Add the last segment between the last point and the first one
+    add_segment(*prev, *(p.vertices_begin()));
+  }
+
+private:
+  //! The window width in pixels.
+  int m_width = CGAL_BASIC_VIEWER_INIT_SIZE_X;
+
+  //! The window height in pixels.
+  int m_height = CGAL_BASIC_VIEWER_INIT_SIZE_Y;
+
+  //! The ratio between pixel and opengl units (in world coordinate system).
+  double m_pixel_ratio = 1;
+
+  //! The polygon set to draw.
+  const Ps& m_ps;
+
+  //! Indicates whether to draw unbounded polygons with holes.
+  bool m_draw_unbounded = false;
 };
 
 // Specialization of draw function.
-template<class T, class C>
+template<class T, class C, class D>
-void draw(const CGAL::Polygon_set_2<T, C>& aps2,
+void draw(const CGAL::Polygon_set_2<T, C, D>& ps,
-          const char* title="Polygon_set_2 Basic Viewer")
+          const char* title = "Polygon_set_2 Basic Viewer",
+          bool draw_vertices = false,
+          bool draw_unbounded = false)
 {
 #if defined(CGAL_TEST_SUITE)
-  bool cgal_test_suite=true;
+  bool cgal_test_suite = true;
 #else
-  bool cgal_test_suite=qEnvironmentVariableIsSet("CGAL_TEST_SUITE");
+  bool cgal_test_suite = qEnvironmentVariableIsSet("CGAL_TEST_SUITE");
 #endif
 
-  if (!cgal_test_suite)
+  if (! cgal_test_suite) {
-  {
+    using Ps = CGAL::Polygon_set_2<T, C, D>;
+    using Viewer = Polygon_set_2_basic_viewer_qt<Ps>;
     CGAL::Qt::init_ogl_context(4,3);
-    int argc=1;
+    int argc = 1;
-    const char* argv[2]={"t2_viewer", nullptr};
+    const char* argv[2] = {"t2_viewer", nullptr};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(argc, const_cast<char**>(argv));
-    SimplePolygonSet2ViewerQt<CGAL::Polygon_set_2<T, C> >
+    Viewer mainwindow(app.activeWindow(), ps, title, draw_unbounded, draw_vertices);
-      mainwindow(app.activeWindow(), aps2, title);
+    mainwindow.add_elements();
     mainwindow.show();
     app.exec();
   }

Documentation/doc/resources/1.8.14/CGAL_mathjax.js

@@ -1,34 +0,0 @@
-//<![CDATA[
-MathJax.Hub.Config(
-{
-  TeX: {
-      Macros: {
-          qprel: [ "{\\gtreqless}", 0],
-          qpx: [ "{\\mathbf{x}}", 0],
-          qpl: [ "{\\mathbf{l}}", 0],
-          qpu: [ "{\\mathbf{u}}", 0],
-          qpc: [ "{\\mathbf{c}}", 0],
-          qpb: [ "{\\mathbf{b}}", 0],
-          qpy: [ "{\\mathbf{y}}", 0],
-          qpw: [ "{\\mathbf{w}}", 0],
-          qplambda: [ "{\\mathbf{\\lambda}}", 0],
-          ssWpoint: [ "{\\bf #1}", 1],
-          ssWeight: [ "{w_{#1}}", 1],
-          dabs: [ "{\\parallel\\! #1 \\!\\parallel}", 1],
-          E: [ "{\\mathrm{E}}", 0],
-          A: [ "{\\mathrm{A}}", 0],
-          R: [ "{\\mathrm{R}}", 0],
-          N: [ "{\\mathrm{N}}", 0],
-          Q: [ "{\\mathrm{Q}}", 0],
-          Z: [ "{\\mathrm{Z}}", 0],
-          ccSum: [ "{\\sum_{#1}^{#2}{#3}}", 3],
-          ccProd: [ "{\\prod_{#1}^{#2}{#3}}", 3],
-          pyr: [ "{\\operatorname{Pyr}}", 0],
-          aff: [ "{\\operatorname{aff}}", 0],
-          Ac: [ "{\\cal A}", 0],
-          Sc: [ "{\\cal S}", 0],
-      }
-  }
-}
-);
-//]]>

Documentation/doc/resources/1.8.14/DoxygenLayout.xml

@@ -1,177 +0,0 @@
-<doxygenlayout version="1.0">
-  <!-- Navigation index tabs for HTML output -->
-  <navindex>
-    <tab type="mainpage" visible="yes" title=""/>
-    <tab type="modules" visible="yes" title="" intro=""/>
-    <tab type="pages" visible="yes" title="" intro=""/>
-    <tab type="classlist" visible="no" title="Class and Concept List" intro="Here is the list of all concepts and classes of the CGAL Library. Classes are inside the namespace CGAL. Concepts are in the global namespace."/>
-    <tab type="examples" visible="no" title="" intro=""/>  
-    <!-- <tab type="user" url="@ref how_to_cite_cgal" title="Acknowledging CGAL"/> -->
-  </navindex>
-
-  <!-- Layout definition for a class page -->
-  <class>
-    <briefdescription visible="no"/>
-    <detaileddescription title=" "/>
-    <includes visible="$SHOW_INCLUDE_FILES"/>
-    <inheritancegraph visible="$CLASS_GRAPH"/>
-    <collaborationgraph visible="$COLLABORATION_GRAPH"/>
-    <allmemberslink visible="yes"/>
-    <memberdecl>
-      <nestedclasses visible="yes" title=""/>
-      <publictypes title=""/>
-      <publicslots title=""/>
-      <signals title=""/>
-      <publicmethods title=""/>
-      <publicstaticmethods title=""/>
-      <publicattributes title=""/>
-      <publicstaticattributes title=""/>
-      <protectedtypes title=""/>
-      <protectedslots title=""/>
-      <protectedmethods title=""/>
-      <protectedstaticmethods title=""/>
-      <protectedattributes title=""/>
-      <protectedstaticattributes title=""/>
-      <packagetypes title=""/>
-      <packagemethods title=""/>
-      <packagestaticmethods title=""/>
-      <packageattributes title=""/>
-      <packagestaticattributes title=""/>
-      <properties title=""/>
-      <events title=""/>
-      <privatetypes title=""/>
-      <privateslots title=""/>
-      <privatemethods title=""/>
-      <privatestaticmethods title=""/>
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-      <friends title=""/>
-      <related title="" subtitle=""/>
-      <membergroups visible="yes"/>
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-      <variables title=""/>
-      <properties title=""/>
-      <events title=""/>
-    </memberdef>
-    <usedfiles visible="$SHOW_USED_FILES"/>
-    <authorsection visible="yes"/>
-  </class>
-
-  <!-- Layout definition for a namespace page -->
-  <namespace>
-    <briefdescription visible="yes"/>
-    <memberdecl>
-      <nestednamespaces visible="yes" title=""/>
-      <classes visible="yes" title=""/>
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-      <enums title=""/>
-      <functions title=""/>
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-    <authorsection visible="yes"/>
-  </namespace>
-
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-  <file>
-    <briefdescription visible="yes"/>
-    <includes visible="$SHOW_INCLUDE_FILES"/>
-    <includegraph visible="$INCLUDE_GRAPH"/>
-    <includedbygraph visible="$INCLUDED_BY_GRAPH"/>
-    <sourcelink visible="yes"/>
-    <memberdecl>
-      <classes visible="yes" title=""/>
-      <namespaces visible="yes" title=""/>
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-      <enums title=""/>
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-      <variables title=""/>
-    </memberdef>
-    <authorsection/>
-  </file>
-
-  <!-- Layout definition for a group page -->
-  <group>
-    <detaileddescription title=" "/>
-    <authorsection visible="yes"/>
-    <groupgraph visible="$GROUP_GRAPHS"/>
-    <memberdef>
-      <pagedocs/>
-    </memberdef>
-    <memberdecl>
-      <nestedgroups visible="yes" title=""/>
-      <dirs visible="yes" title=""/>
-      <files visible="yes" title=""/>
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-    </memberdef>
-  </group>
-
-  <!-- Layout definition for a directory page -->
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-    <briefdescription visible="yes"/>
-    <directorygraph visible="yes"/>
-    <memberdecl>
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-    </memberdecl>
-    <detaileddescription title=""/>
-  </directory>
-</doxygenlayout>

Documentation/doc/resources/1.8.14/DoxygenLayoutPackage.xml

@@ -1,178 +0,0 @@
-<doxygenlayout version="1.0">
-  <!-- Navigation index tabs for HTML output -->
-  <navindex>
-    <tab type="mainpage" visible="yes" title=""/>
-    <tab type="modules" visible="yes" title="Reference Manual" intro=""/>
-    <tab type="pages" visible="yes" title="Pages" intro=""/>
-    <tab type="classlist" visible="yes" title="Class and Concept List" intro="Here is the list of all concepts and classes of this package. Classes are inside the namespace CGAL. Concepts are in the global namespace."/>
-    <tab type="filelist" visible="yes" title="" intro=""/>
-    <tab type="examples" visible="yes" title="" intro=""/>  
-  </navindex>
-
-  <!-- Layout definition for a class page -->
-  <class>
-    <briefdescription visible="no"/>
-    <includes visible="$SHOW_INCLUDE_FILES"/>
-    <inheritancegraph visible="$CLASS_GRAPH"/>
-    <detaileddescription title="Definition"/>
-    <collaborationgraph visible="$COLLABORATION_GRAPH"/>
-    <allmemberslink visible="yes"/>
-    <memberdecl>
-      <nestedclasses visible="yes" title=""/>
-      <!-- Disable the naming of the public types group -->
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Documentation/doc/resources/1.8.14/cgal_stylesheet.css

@@ -1,386 +0,0 @@
-body, table, div, p, dl {
-    font: Lucida Grande,sans-serif;
-}
-
-.textsc {
-    font-variant: small-caps;
-}
-
-#projectnumber {
-    display: none;
-}
-
-#back-nav {
-    border-bottom: 1px solid;
-    padding: 0.5em;
-    background-color: #FAF9FB;
-}
-
-#back-nav h2 {
-    display: inline;
-}
-
-#back-nav ul
-{
-    display: inline;
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Documentation/doc/resources/1.8.14/hacks.js

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Documentation/doc/resources/1.8.14/header.html

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-  var url_local =  /.*\/doc_output\//;
-  var current_version_local = 'master'
-  var all_versions = [
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-      '5.6-beta1',
-      'latest',
-      '5.5.2',
-      '5.4.4',
-      '5.3.2',
-      '5.2.4',
-      '5.1.5',
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-      if (match) {
-        var version = match[2];
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-        spanNode.innerHTML=select;
-        $('.version_menu select').bind('change', on_switch);
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-      else {
-        match = url_local.exec(window.location.href);
-        if (match) {
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-          var select = build_select(version);
-          spanNode.innerHTML=select;
-          $('.version_menu select').bind('change', on_switch);
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-<script type="text/javascript" src="$relpath^../Manual/search/search.js"></script>
-<script type="text/javascript">
-  $(document).ready(function() { init_search(); });
-</script>
-<link href="$relpath^../Manual/search/search.css" rel="stylesheet" type="text/css"/>
-<script type="text/javascript" src="../Manual/search/search.js"></script>
-<!-- Manually done below. -->
-<link href="$relpath^../Manual/$stylesheet" rel="stylesheet" type="text/css" />
-<!-- This should probably be an extrastylesheet instead of hardcoded. -->
-<link href="$relpath$../Manual/cgal_stylesheet.css" rel="stylesheet" type="text/css" />
-<script type="text/x-mathjax-config">
-MathJax.Hub.Config({
-  TeX: { equationNumbers: { autoNumber: "AMS" } }
-});
-</script>
-$mathjax
-<script src="$relpath^modules.js" type="text/javascript"></script>
-$extrastylesheet
-</head>
-<body>
-<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
-<div id="back-nav">
-  <ul>
-    <li><a href="https://www.cgal.org/">cgal.org</a></li>
-    <li><a href="../Manual/index.html">Top</a></li>
-    <li><a href="../Manual/general_intro.html">Getting Started</a></li>
-    <li><a href="../Manual/tutorials.html">Tutorials</a></li>
-    <li><a href="../Manual/packages.html">Package Overview</a></li>
-    <li><a href="../Manual/how_to_cite_cgal.html">Acknowledging CGAL</a></li>
-  </ul>
-  <!-- In a package SEARCHENGINE = false, so we cannot use $searchbox
-       insertion. That's why we have to do it manually here. Notice
-       that we also take pngs from the Manual. -->
-  <div id="MSearchBox" class="MSearchBoxInactive">
-    <span class="left">
-      <img id="MSearchSelect" src="../Manual/search/mag_sel.svg"
-           onmouseover="return searchBox.OnSearchSelectShow()"
-           onmouseout="return searchBox.OnSearchSelectHide()"
-           alt=""/>
-      <input type="text" id="MSearchField" value="Search" accesskey="S"
-             onfocus="searchBox.OnSearchFieldFocus(true)"
-             onblur="searchBox.OnSearchFieldFocus(false)"
-             onkeyup="searchBox.OnSearchFieldChange(event)"/>
-    </span><span class="right">
-      <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="../Manual/search/close.svg" alt=""/></a>
-    </span>
-  </div>
-
-</div>
-<!--BEGIN TITLEAREA-->
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-<table cellspacing="0" cellpadding="0">
- <tbody>
- <tr style="height: 56px;">
-  <!--BEGIN PROJECT_LOGO-->
-  <td id="projectlogo"><img alt="Logo" src="$relpath^$projectlogo"/></td>
-  <!--END PROJECT_LOGO-->
-  <!--BEGIN PROJECT_NAME-->
-  <td id="projectalign" style="padding-left: 0.5em;">
-   <div id="projectname">$projectname
-   <!--BEGIN PROJECT_NUMBER-->&#160;<span id="projectnumber">$projectnumber</span><!--END PROJECT_NUMBER-->
-   </div>
-   <!--BEGIN PROJECT_BRIEF--><div id="projectbrief">$projectbrief</div><!--END PROJECT_BRIEF-->
-  </td>
-  <!--END PROJECT_NAME-->
-  <!--BEGIN !PROJECT_NAME-->
-   <!--BEGIN PROJECT_BRIEF-->
-    <td style="padding-left: 0.5em;">
-    <div id="projectbrief">$projectbrief</div>
-    </td>
-   <!--END PROJECT_BRIEF-->
-  <!--END !PROJECT_NAME-->
-  <!--BEGIN DISABLE_INDEX-->
-  <!--BEGIN SEARCHENGINE-->
-  <!-- We disable the search box because we have added it in the
-  back-nav for stylistic reasons. -->
-  <!-- <td>$.searchbox</td> -->
-  <!--END SEARCHENGINE-->
-  <!--END DISABLE_INDEX-->
- </tr>
- </tbody>
-</table>
-</div>
-<!-- Code below is usually inserted by doxygen when SEARCHENGINE =
-     true. Notice that the path to the search directory is adjusted to
-     the top-level.-->
-<script type="text/javascript">
-var searchBox = new SearchBox("searchBox", "../Manual/search",false,'Search');
-</script>
-<!-- window showing the filter options -->
-<div id="MSearchSelectWindow"
-     onmouseover="return searchBox.OnSearchSelectShow()"
-     onmouseout="return searchBox.OnSearchSelectHide()"
-     onkeydown="return searchBox.OnSearchSelectKey(event)">
-</div>
-<!-- iframe showing the search results (closed by default) -->
-<div id="MSearchResultsWindow">
-<iframe src="javascript:void(0)" frameborder="0"
-        name="MSearchResults" id="MSearchResults">
-</iframe>
-</div>
-
-<!--END TITLEAREA-->
-<!-- end header part -->

Documentation/doc/resources/1.9.3/menu_version.js

@@ -1,108 +0,0 @@
-(function() {
-  'use strict';
-
-  var url_re =  /(cgal\.geometryfactory\.com\/CGAL\/doc\/|doc\.cgal\.org\/)(master|latest|(\d\.\d+|\d\.\d+\.\d+)(-beta\d)?)\//;
-  var url_local =  /.*\/doc_output\//;
-  var current_version_local = 'master'
-  var all_versions = [
-      'master',
-      '5.6-beta1',
-      'latest',
-      '5.5.2',
-      '5.4.4',
-      '5.3.2',
-      '5.2.4',
-      '5.1.5',
-      '5.0.4',
-      '4.14.3',
-      '4.13.2',
-      '4.12.2',
-      '4.11.3',
-      '4.10.2',
-      '4.9.1',
-      '4.8.2',
-      '4.7',
-      '4.6.3',
-      '4.5.2',
-      '4.4',
-      '4.3'
-  ];
-
-  function build_select(current_version) {
-    if( current_version == 'master') {
-      let top_elt = document.getElementById("top");
-
-      let first_element = top_elt.childNodes[0];
-      let new_div = document.createElement("p");
-      new_div.innerHTML = '⚠️ This documentation corresponds to the <a style="font-familly: monospace;" href="https://github.com/CGAL/cgal/tree/master">master</a> development branch of CGAL. It might diverge from the official releases.';
-      new_div.style.cssText = "background-color: #ff9800; margin: 1ex auto 1ex 1em; padding: 1ex; border-radius: 1ex; display: inline-block;"
-      let OK = top_elt.insertBefore(new_div, first_element);
-    }
-    var buf = ['<select>'];
-    $.each(all_versions, function(id) {
-      var version = all_versions[id];
-      buf.push('<option value="' + version + '"');
-      if (version == current_version) {
-        buf.push(' selected="selected">' + version);
-      } else {
-        buf.push('>' + version);
-      }
-      buf.push('</option>');
-    });
-    if ( !all_versions.includes(current_version)) {
-       buf.push('<option value="' + current_version + '"');
-       buf.push(' selected="selected">' + current_version);
-       buf.push('</option>');
-    }
-    buf.push('</select>');
-    return buf.join('');
-  }
-
-  function patch_url(url, new_version) {
-    if(url.includes("doc.cgal.org")||url.includes("cgal.geometryfactory.com")){
-      return url.replace(url_re, 'doc.cgal.org/' + new_version + '/');
-    }
-    else{
-      return url.replace(url_local, 'https://doc.cgal.org/' + new_version + '/');
-    }
-  }
-
-  function on_switch() {
-    var selected = $(this).children('option:selected').attr('value');
-    var url = window.location.href,
-        new_url = patch_url(url, selected);
-    if (new_url != url) {
-      window.location.href = new_url;
-    }
-  }
-
-  $(document).ready(function() {
-      var motherNode=$("#back-nav ul")[0];
-      var node = document.createElement("LI");
-      var spanNode = document.createElement("SPAN");
-      var titleNode =document.createTextNode("CGAL Version: ");
-      var textNode = document.createTextNode("x.y");
-      spanNode.setAttribute("class", "version_menu");
-      spanNode.appendChild(textNode);
-      node.appendChild(titleNode);
-      node.appendChild(spanNode);
-      motherNode.insertBefore(node, motherNode.firstChild);
-      $("#back-nav").css("padding-top", "0").css("padding-bottom", "0");
-      var match = url_re.exec(window.location.href);
-      if (match) {
-        var version = match[2];
-        var select = build_select(version);
-        spanNode.innerHTML=select;
-        $('.version_menu select').bind('change', on_switch);
-      }
-      else {
-        match = url_local.exec(window.location.href);
-        if (match) {
-          var version = current_version_local;
-          var select = build_select(version);
-          spanNode.innerHTML=select;
-          $('.version_menu select').bind('change', on_switch);
-        }
-     }
-  });
-})();

Documentation/doc/resources/1.9.6/BaseDoxyfile.in

@@ -470,18 +470,6 @@ HTML_HEADER            = ${CGAL_DOC_HEADER_PACKAGE}
 
 HTML_FOOTER            = ${CGAL_DOC_RESOURCE_DIR}/footer.html
 
-# The HTML_STYLESHEET tag can be used to specify a user-defined cascading style
-# sheet that is used by each HTML page. It can be used to fine-tune the look of
-# the HTML output. If left blank doxygen will generate a default style sheet.
-# See also section "Doxygen usage" for information on how to generate the style
-# sheet that doxygen normally uses.
-# Note: It is recommended to use HTML_EXTRA_STYLESHEET instead of this tag, as
-# it is more robust and this tag (HTML_STYLESHEET) will in the future become
-# obsolete.
-# This tag requires that the tag GENERATE_HTML is set to YES.
-
-HTML_STYLESHEET        = ${CGAL_DOC_RESOURCE_DIR}/stylesheet.css
-
 # If you want full control over the layout of the generated HTML pages it might
 # be necessary to disable the index and replace it with your own. The
 # DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) at top

Documentation/doc/resources/1.9.6/CGAL_mathjax.js

@@ -27,7 +27,8 @@ MathJax.Hub.Config(
           aff: [ "{\\operatorname{aff}}", 0],
           Ac: [ "{\\cal A}", 0],
           Sc: [ "{\\cal S}", 0],
-      }
+      },
+      equationNumbers: { autoNumber: "AMS" }
   }
 }
 );

Documentation/doc/resources/1.9.6/footer.html

@@ -1,4 +1,4 @@
-<!-- HTML footer for doxygen 1.8.20-->
+<!-- HTML footer for doxygen 1.9.6-->
 <!-- start footer part -->
 <!-- The footer div is not part of the default but we require it to
 move the footer to the bottom of the page. -->
@@ -7,13 +7,13 @@ move the footer to the bottom of the page. -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     $navpath
-    <li class="footer">$generatedby <a href="https://www.doxygen.nl/index.html"><img class="footer" src="$relpath^doxygen.svg" width="104" height="31" alt="doxygen"/></a> $doxygenversion </li>
+    <li class="footer">$generatedby <a href="https://www.doxygen.org/index.html"><img class="footer" src="$relpath^doxygen.svg" width="104" height="31" alt="doxygen"/></a> $doxygenversion </li>
   </ul>
 </div>
 <!--END GENERATE_TREEVIEW-->
 <!--BEGIN !GENERATE_TREEVIEW-->
 <hr class="footer"/><address class="footer"><small>
-$generatedby&#160;<a href="https://www.doxygen.nl/index.html"><img class="footer" src="$relpath^doxygen.svg" width="104" height="31" alt="doxygen"/></a> $doxygenversion
+$generatedby&#160;<a href="https://www.doxygen.org/index.html"><img class="footer" src="$relpath^doxygen.svg" width="104" height="31" alt="doxygen"/></a> $doxygenversion
 </small></address>
 <!--END !GENERATE_TREEVIEW-->
 </div>

Documentation/doc/resources/1.9.6/header.html

@@ -1,27 +1,38 @@
-<!-- HTML header for doxygen 1.8.20-->
+<!-- HTML header for doxygen 1.9.6-->
 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
-<html xmlns="http://www.w3.org/1999/xhtml">
+<html xmlns="http://www.w3.org/1999/xhtml" lang="$langISO">
 <head>
 <link rel="icon" type="image/png" href="$relpath$../Manual/g-196x196-doc.png"/>
 <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
-<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta http-equiv="X-UA-Compatible" content="IE=11"/>
 <meta name="generator" content="Doxygen $doxygenversion"/>
 <meta name="viewport" content="width=device-width, initial-scale=1"/>
 <!--BEGIN PROJECT_NAME--><title>$projectname: $title</title><!--END PROJECT_NAME-->
 <!--BEGIN !PROJECT_NAME--><title>$title</title><!--END !PROJECT_NAME-->
 <!-- <link href="$relpath^../Manual/tabs.css" rel="stylesheet" type="text/css"/> -->
+<!--BEGIN DISABLE_INDEX-->
+  <!--BEGIN FULL_SIDEBAR-->
+<script type="text/javascript">var page_layout=1;</script>
+  <!--END FULL_SIDEBAR-->
+<!--END DISABLE_INDEX-->
 <script type="text/javascript" src="$relpath^../Manual/jquery.js"></script>
 <script type="text/javascript" src="$relpath^../Manual/dynsections.js"></script>
 <script src="$relpath$../Manual/hacks.js" type="text/javascript"></script>
 $treeview
 $search
 $mathjax
+$darkmode
 <link href="$relpath^$stylesheet" rel="stylesheet" type="text/css" />
 <!-- This should probably be an extrastylesheet instead of hardcoded. -->
 <link href="$relpath$../Manual/cgal_stylesheet.css" rel="stylesheet" type="text/css" />
 $extrastylesheet
 </head>
 <body>
+<!--BEGIN DISABLE_INDEX-->
+  <!--BEGIN FULL_SIDEBAR-->
+<div id="side-nav" class="ui-resizable side-nav-resizable"><!-- do not remove this div, it is closed by doxygen! -->
+  <!--END FULL_SIDEBAR-->
+<!--END DISABLE_INDEX-->
 <div id="top"><!-- do not remove this div, it is closed by doxygen! -->
 <div id="back-nav">
   <ul>
@@ -39,21 +50,19 @@ $extrastylesheet
 <div id="titlearea">
 <table cellspacing="0" cellpadding="0">
  <tbody>
- <tr style="height: 56px;">
+ <tr id="projectrow">
   <!--BEGIN PROJECT_LOGO-->
   <td id="projectlogo"><img alt="Logo" src="$relpath^$projectlogo"/></td>
   <!--END PROJECT_LOGO-->
   <!--BEGIN PROJECT_NAME-->
-  <td id="projectalign" style="padding-left: 0.5em;">
+  <td id="projectalign">
-   <div id="projectname">$projectname
+   <div id="projectname">$projectname<!--BEGIN PROJECT_NUMBER--><span id="projectnumber">&#160;$projectnumber</span><!--END PROJECT_NUMBER-->
-   <!--BEGIN PROJECT_NUMBER-->&#160;<span id="projectnumber">$projectnumber</span><!--END PROJECT_NUMBER-->
    </div>
    <!--BEGIN PROJECT_BRIEF--><div id="projectbrief">$projectbrief</div><!--END PROJECT_BRIEF-->
   </td>
   <!--END PROJECT_NAME-->
   <!--BEGIN !PROJECT_NAME-->
    <!--BEGIN PROJECT_BRIEF-->
-    <td style="padding-left: 0.5em;">
     <div id="projectbrief">$projectbrief</div>
     </td>
    <!--END PROJECT_BRIEF-->

Documentation/doc/resources/1.9.6/header_package.html

@@ -1,15 +1,20 @@
-<!-- HTML header for doxygen 1.8.20-->
+<!-- HTML header for doxygen 1.9.6-->
 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
-<html xmlns="http://www.w3.org/1999/xhtml">
+<html xmlns="http://www.w3.org/1999/xhtml" lang="$langISO">
 <head>
 <link rel="icon" type="image/png" href="$relpath$../Manual/g-196x196-doc.png"/>
 <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
-<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta http-equiv="X-UA-Compatible" content="IE=11"/>
 <meta name="generator" content="Doxygen $doxygenversion"/>
 <meta name="viewport" content="width=device-width, initial-scale=1"/>
 <!--BEGIN PROJECT_NAME--><title>$projectname: $title</title><!--END PROJECT_NAME-->
 <!--BEGIN !PROJECT_NAME--><title>$title</title><!--END !PROJECT_NAME-->
 <!-- <link href="$relpath^../Manual/tabs.css" rel="stylesheet" type="text/css"/> -->
+<!--BEGIN DISABLE_INDEX-->
+  <!--BEGIN FULL_SIDEBAR-->
+<script type="text/javascript">var page_layout=1;</script>
+  <!--END FULL_SIDEBAR-->
+<!--END DISABLE_INDEX-->
 <script type="text/javascript" src="$relpath^../Manual/jquery.js"></script>
 <script type="text/javascript" src="$relpath^../Manual/dynsections.js"></script>
 <script src="$relpath^../Manual/hacks.js" type="text/javascript"></script>
@@ -36,16 +41,17 @@
 <link href="$relpath^../Manual/$stylesheet" rel="stylesheet" type="text/css" />
 <!-- This should probably be an extrastylesheet instead of hardcoded. -->
 <link href="$relpath$../Manual/cgal_stylesheet.css" rel="stylesheet" type="text/css" />
-<script type="text/x-mathjax-config">
-MathJax.Hub.Config({
-  TeX: { equationNumbers: { autoNumber: "AMS" } }
-});
-</script>
 $mathjax
+$darkmode
 <script src="$relpath^modules.js" type="text/javascript"></script>
 $extrastylesheet
 </head>
 <body>
+<!--BEGIN DISABLE_INDEX-->
+  <!--BEGIN FULL_SIDEBAR-->
+<div id="side-nav" class="ui-resizable side-nav-resizable"><!-- do not remove this div, it is closed by doxygen! -->
+  <!--END FULL_SIDEBAR-->
+<!--END DISABLE_INDEX-->
 <div id="top"><!-- do not remove this div, it is closed by doxygen! -->
 <div id="back-nav">
   <ul>
@@ -60,18 +66,19 @@ $extrastylesheet
        insertion. That's why we have to do it manually here. Notice
        that we also take pngs from the Manual. -->
   <div id="MSearchBox" class="MSearchBoxInactive">
-    <span class="left">
+      <span class="left">
-      <img id="MSearchSelect" src="../Manual/search/mag_sel.svg"
+         <span id="MSearchSelect"
-           onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseover="return searchBox.OnSearchSelectShow()"
-           onmouseout="return searchBox.OnSearchSelectHide()"
+               onmouseout="return searchBox.OnSearchSelectHide()">&#160;
-           alt=""/>
+        </span>
-      <input type="text" id="MSearchField" value="Search" accesskey="S"
+        <input type="text" id="MSearchField" value="" placeholder="Search" accesskey="S"
-             onfocus="searchBox.OnSearchFieldFocus(true)"
+               onfocus="searchBox.OnSearchFieldFocus(true)"
-             onblur="searchBox.OnSearchFieldFocus(false)"
+               onblur="searchBox.OnSearchFieldFocus(false)"
-             onkeyup="searchBox.OnSearchFieldChange(event)"/>
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
-    </span><span class="right">
+      </span>
-      <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="../Manual/search/close.svg" alt=""/></a>
+      <span class="right">
-    </span>
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="$relpath^../Manual/search/close.svg" alt=""/></a>
+      </span>
   </div>
 
 </div>
@@ -79,21 +86,19 @@ $extrastylesheet
 <div id="titlearea">
 <table cellspacing="0" cellpadding="0">
  <tbody>
- <tr style="height: 56px;">
+ <tr id="projectrow">
   <!--BEGIN PROJECT_LOGO-->
   <td id="projectlogo"><img alt="Logo" src="$relpath^$projectlogo"/></td>
   <!--END PROJECT_LOGO-->
   <!--BEGIN PROJECT_NAME-->
-  <td id="projectalign" style="padding-left: 0.5em;">
+  <td id="projectalign">
-   <div id="projectname">$projectname
+   <div id="projectname">$projectname<!--BEGIN PROJECT_NUMBER--><span id="projectnumber">&#160;$projectnumber</span><!--END PROJECT_NUMBER-->
-   <!--BEGIN PROJECT_NUMBER-->&#160;<span id="projectnumber">$projectnumber</span><!--END PROJECT_NUMBER-->
    </div>
    <!--BEGIN PROJECT_BRIEF--><div id="projectbrief">$projectbrief</div><!--END PROJECT_BRIEF-->
   </td>
   <!--END PROJECT_NAME-->
   <!--BEGIN !PROJECT_NAME-->
    <!--BEGIN PROJECT_BRIEF-->
-    <td style="padding-left: 0.5em;">
     <div id="projectbrief">$projectbrief</div>
     </td>
    <!--END PROJECT_BRIEF-->
@@ -113,7 +118,7 @@ $extrastylesheet
      true. Notice that the path to the search directory is adjusted to
      the top-level.-->
 <script type="text/javascript">
-var searchBox = new SearchBox("searchBox", "../Manual/search",false,'Search');
+var searchBox = new SearchBox("searchBox", "../Manual/search/",'.html');
 </script>
 <!-- window showing the filter options -->
 <div id="MSearchSelectWindow"
@@ -123,9 +128,16 @@ var searchBox = new SearchBox("searchBox", "../Manual/search",false,'Search');
 </div>
 <!-- iframe showing the search results (closed by default) -->
 <div id="MSearchResultsWindow">
-<iframe src="javascript:void(0)" frameborder="0"
+<div id="MSearchResults">
-        name="MSearchResults" id="MSearchResults">
+<div class="SRPage">
-</iframe>
+<div id="SRIndex">
+<div id="SRResults"></div>
+<div class="SRStatus" id="Loading">Loading...</div>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+</div>
+</div>
+</div>
 </div>
 
 <!--END TITLEAREA-->

Documentation/doc/scripts/html_output_post_processing.py

@@ -243,7 +243,7 @@ removes some unneeded files, and performs minor repair on some glitches.''')
     os.chdir(args.output)
 
     #workaround CGAL link on the main page
-    re_replace_in_file("<a class=\"elRef\" href=\"../Circular_kernel_3/namespaceCGAL.html\">CGAL</a>", "CGAL", "./Manual/index.html")
+    re_replace_in_file("<a class=\"elRef\" href=\"../.+/namespaceCGAL.+html\">CGAL</a>", "CGAL", "./Manual/index.html")
 
     #workaround issue with operator<< in pyquery
     all_pages=glob.glob('*/*.html')

Filtered_kernel/include/CGAL/Filtered_predicate.h

@@ -88,6 +88,8 @@ public:
   result_type
   operator()(const Args&... args) const
   {
+
+#ifndef CGAL_EPICK_NO_INTERVALS
     CGAL_BRANCH_PROFILER(std::string(" failures/calls to   : ") + std::string(CGAL_PRETTY_FUNCTION), tmp);
     // Protection is outside the try block as VC8 has the CGAL_CFG_FPU_ROUNDING_MODE_UNWINDING_VC_BUG
     {
@@ -103,6 +105,7 @@ public:
     CGAL_BRANCH_PROFILER_BRANCH(tmp);
     Protect_FPU_rounding<!Protection> p(CGAL_FE_TONEAREST);
     CGAL_expensive_assertion(FPU_get_cw() == CGAL_FE_TONEAREST);
+#endif // CGAL_EPICK_NO_INTERVALS
     return ep(c2e(args)...);
   }
 };
@@ -154,6 +157,7 @@ public:
   result_type
   operator()(const Args&... args) const
   {
+#ifndef CGAL_EPICK_NO_INTERVALS
     CGAL_BRANCH_PROFILER(std::string(" failures/calls to   : ") + std::string(CGAL_PRETTY_FUNCTION), tmp);
     // Protection is outside the try block as VC8 has the CGAL_CFG_FPU_ROUNDING_MODE_UNWINDING_VC_BUG
     {
@@ -169,7 +173,7 @@ public:
     CGAL_BRANCH_PROFILER_BRANCH(tmp);
     Protect_FPU_rounding<!Protection> p(CGAL_FE_TONEAREST);
     CGAL_expensive_assertion(FPU_get_cw() == CGAL_FE_TONEAREST);
-
+#endif // CGAL_EPICK_NO_INTERVALS
     return call(args...);
   }
 };

Installation/CHANGES.md

@@ -137,6 +137,12 @@ extracted from labeled images.
     straight skeletons of polygons with holes. The output is a closed, combinatorially 2-manifold
     surface triangle mesh.
 
+### [2D Regularized Boolean Set Operations](https://doc.cgal.org/5.6/Manual/packages.html#PkgBooleanSetOperations2)
+-   Exposed all required member functions of the `GeneralPolygonWithHoles_2` concept (e.g., `clear_outer_boundary()`, `clear_holes()`, and `clear()`).
+
+### [Polygon](https://doc.cgal.org/5.6/Manual/packages.html#PkgPolygon2)
+-   Fixed the function `draw(const CGAL::Polygon_with_holes_2<T, C>& pwh, const char* title)` to enable the correct drawing of unbounded polygons with holes.
+
 [Release 5.5](https://github.com/CGAL/cgal/releases/tag/v5.5)
 -----------
 

Installation/include/CGAL/Installation/internal/enable_third_party_libraries.h

@@ -27,11 +27,9 @@
 
 #if defined(__has_include) && ( ! defined _MSC_VER || _MSC_VER > 1900)
 #  if CGAL_USE_GMP && ! __has_include(<gmp.h>)
-#    pragma CGAL_WARNING("<gmp.h> cannot be found. Less efficient number types will be used instead. Define CGAL_NO_GMP=1 if that is on purpose.")
 #    undef CGAL_USE_GMP
 #    undef CGAL_USE_MPFR
 #  elif CGAL_USE_MPFR && ! __has_include(<mpfr.h>)
-#    pragma CGAL_WARNING("<mpfr.h> cannot be found and the GMP support in CGAL requires it. Less efficient number types will be used instead. Define CGAL_NO_GMP=1 if that is on purpose.")
 #    undef CGAL_USE_GMP
 #    undef CGAL_USE_MPFR
 #  endif // CGAL_USE_MPFR and no <mpfr.h>

Installation/lib/cmake/CGAL/CGALConfig.cmake

@@ -196,3 +196,17 @@ if (NOT TARGET CGAL::CGAL_Basic_viewer)
       INTERFACE_LINK_LIBRARIES CGAL::CGAL_Qt5)
 endif()
 
+
+#warning: the order in this list has to match the enum in Exact_type_selector
+set(CGAL_CMAKE_EXACT_NT_BACKEND_OPTIONS GMP_BACKEND GMPXX_BACKEND BOOST_GMP_BACKEND BOOST_BACKEND LEDA_BACKEND MP_FLOAT_BACKEND Default)
+set(CGAL_CMAKE_EXACT_NT_BACKEND "Default" CACHE STRING "Setting for advanced users that what to change the default number types used in filtered kernels. Some options might not be working depending on how you configured your build.")
+set_property(CACHE CGAL_CMAKE_EXACT_NT_BACKEND PROPERTY STRINGS ${CGAL_CMAKE_EXACT_NT_BACKEND_OPTIONS})
+
+if ( NOT "${CGAL_CMAKE_EXACT_NT_BACKEND}" STREQUAL "Default" )
+  list(FIND CGAL_CMAKE_EXACT_NT_BACKEND_OPTIONS ${CGAL_CMAKE_EXACT_NT_BACKEND} DEB_VAL)
+  set_property(
+      TARGET CGAL
+      APPEND PROPERTY
+          INTERFACE_COMPILE_DEFINITIONS "CMAKE_OVERRIDDEN_DEFAULT_ENT_BACKEND=${DEB_VAL}"
+  ) # do not use set_target_properties to avoid overwritting
+endif()

Kernel_23/include/CGAL/Iso_cuboid_3.h

@@ -30,6 +30,7 @@ template <class R_>
 class Iso_cuboid_3 : public R_::Kernel_base::Iso_cuboid_3
 {
   typedef typename R_::RT                 RT;
+  typedef typename R_::FT                 FT;
   typedef typename R_::Point_3            Point_3;
   typedef typename R_::Aff_transformation_3  Aff_transformation_3;
 
@@ -84,8 +85,9 @@ public:
                                              max_hx, max_hy, max_hz)) {}
 
   Iso_cuboid_3(const Bbox_3& bbox)
-   : Rep(typename R::Construct_iso_cuboid_3()(Return_base_tag(), bbox.xmin(), bbox.ymin(), bbox.zmin(),
+   : Rep(typename R::Construct_iso_cuboid_3()(Return_base_tag(),
-                                                                 bbox.xmax(), bbox.ymax(), bbox.zmax())) {}
+                                              typename R::Construct_point_3()(FT(bbox.xmin()), FT(bbox.ymin()), FT(bbox.zmin())),
+                                              typename R::Construct_point_3()(FT(bbox.xmax()), FT(bbox.ymax()), FT(bbox.zmax())))) {}
 
   decltype(auto)
   min BOOST_PREVENT_MACRO_SUBSTITUTION () const

Kernel_23/include/CGAL/Iso_rectangle_2.h

@@ -78,7 +78,9 @@ public:
     : Rep(typename R::Construct_iso_rectangle_2()(Return_base_tag(), min_hx, min_hy, max_hx, max_hy, hw)) {}
 
   Iso_rectangle_2(const Bbox_2& bbox)
-    : Rep(typename R::Construct_iso_rectangle_2()(Return_base_tag(), bbox.xmin(), bbox.ymin(), bbox.xmax(), bbox.ymax())) {}
+    : Rep(typename R::Construct_iso_rectangle_2()(Return_base_tag(),
+                                                  typename R::Construct_point_2()(FT(bbox.xmin()), FT(bbox.ymin())),
+                                                  typename R::Construct_point_2()(FT(bbox.xmax()), FT(bbox.ymax())))) {}
 
   decltype(auto)
   min BOOST_PREVENT_MACRO_SUBSTITUTION () const

Kernel_23/test/Kernel_23/include/CGAL/Precise_numbers.h

@@ -18,25 +18,10 @@
 #define CGAL_PRECISE_NUMBERS_H
 
 #include <CGAL/config.h>
-#if defined CGAL_USE_GMPXX
+#include <CGAL/Exact_integer.h>
-#  include <CGAL/gmpxx.h>
+#include <CGAL/Exact_rational.h>
-typedef mpz_class                       Precise_integer;
+
-typedef mpq_class                       Precise_rational;
+using Precise_integer = CGAL::Exact_integer;
-#elif defined CGAL_USE_LEDA
+using Precise_rational = CGAL::Exact_rational;
-#  include <CGAL/leda_integer.h>
-#  include <CGAL/leda_rational.h>
-typedef leda_integer                    Precise_integer;
-typedef leda_rational                   Precise_rational;
-#elif defined CGAL_USE_GMP
-#  include <CGAL/Gmpz.h>
-#  include <CGAL/Gmpq.h>
-typedef CGAL::Gmpz                      Precise_integer;
-typedef CGAL::Gmpq                      Precise_rational;
-#else
-#  include <CGAL/MP_Float.h>
-#  include <CGAL/Quotient.h>
-typedef CGAL::MP_Float                  Precise_integer;
-typedef CGAL::Quotient<CGAL::MP_Float>  Precise_rational;
-#endif
 
 #endif // CGAL_PRECISE_NUMBERS_H

Number_types/include/CGAL/Exact_integer.h

@@ -14,20 +14,10 @@
 //
 // Author(s)     : Laurent Rineau
 
-#include <CGAL/config.h>
+#ifndef CGAL_EXACT_INTEGER_H
-#include <CGAL/boost_mp.h>
+#define CGAL_EXACT_INTEGER_H
-#if CGAL_USE_GMPXX
+
-#  include <CGAL/gmpxx.h>
+#include <CGAL/Number_types/internal/Exact_type_selector.h>
-#elif CGAL_USE_GMP
-#  include <CGAL/Gmpz.h>
-#elif CGAL_USE_LEDA
-#  include <CGAL/leda_integer.h>
-#elif CGAL_USE_CORE
-#  include <CGAL/CORE_BigInt.h>
-#elif defined CGAL_USE_BOOST_MP
-#else
-#  error CGAL is configured with none of GMP, LEDA, Boost.Multiprecision and CORE. <CGAL/Exact_integer.h> cannot be used.
-#endif
 
 namespace CGAL {
 
@@ -50,29 +40,10 @@ typedef unspecified_type Exact_integer;
 
 #else // not DOXYGEN_RUNNING
 
-#if BOOST_VERSION > 107900 && defined(CGAL_USE_BOOST_MP)
+typedef internal::Exact_ring_selector<int>::Type Exact_integer;
-// use boost-mp by default
-typedef BOOST_cpp_arithmetic_kernel::Integer Exact_integer;
-#else // BOOST_VERSION > 107900
-#ifdef CGAL_USE_GMPXX
-typedef mpz_class Exact_integer;
-#elif defined(CGAL_USE_GMP)
-#if defined(CGAL_USE_BOOST_MP)
-typedef BOOST_gmp_arithmetic_kernel::Integer Exact_integer;
-#else
-typedef Gmpz Exact_integer;
-#endif
-#elif defined(CGAL_USE_LEDA)
-typedef leda_integer Exact_integer;
-#elif defined(CGAL_USE_BOOST_MP)
-typedef BOOST_cpp_arithmetic_kernel::Integer Exact_integer;
-#elif defined(CGAL_USE_CORE)
-typedef CORE::BigInt Exact_integer;
-#else
-#error "ERROR: Cannot determine a BigInt type!"
-#endif // CGAL_USE_CORE
-#endif // BOOST_VERSION > 107800
 
 #endif // not DOXYGEN_RUNNING
 
 } /* end namespace CGAL */
+
+#endif // CGAL_EXACT_INTEGER_H

Number_types/include/CGAL/Number_types/internal/Exact_type_selector.h

@@ -25,6 +25,7 @@
 #include <CGAL/Lazy_exact_nt.h>
 
 #include <CGAL/boost_mp.h>
+
 #ifdef CGAL_USE_GMP
 #  include <CGAL/Gmpz.h>
 #  include <CGAL/Gmpq.h>
@@ -49,28 +50,59 @@ class Expr;
 namespace CGAL { namespace internal {
 
 // Two classes which tell the preferred "exact number types" corresponding to a type.
+// Exact_ring_selector<double> and Exact_field_selector<double> are used by EPICK as exact number type
+// to answer predicates at the end of the filtering chain of predicates and EPECK uses
+// Exact_field_selector<double> for as its exact number type.
 
-// The default template chooses mpq_class, Gmpq, leda_rational, or Quotient<MP_Float>.
+// Warning, the order in this list must match the one in Installation/lib/cmake/CGALConfig.cmake
-// It should support the built-in types.
+enum ENT_backend_choice
-template < typename >
+{
-struct Exact_field_selector
+  GMP_BACKEND,
+  GMPXX_BACKEND,
+  BOOST_GMP_BACKEND,
+  BOOST_BACKEND,
+  LEDA_BACKEND,
+  MP_FLOAT_BACKEND
+};
 
-#if BOOST_VERSION > 107900 && defined(CGAL_USE_BOOST_MP)
+template <ENT_backend_choice>
-// use boost-mp by default
+struct Exact_NT_backend;
-// Boost
+
-{ typedef BOOST_cpp_arithmetic_kernel::Rational Type; };
+#ifdef CGAL_USE_GMP
-#else // BOOST_VERSION > 107900
+template <>
-#ifdef CGAL_USE_GMPXX
+struct Exact_NT_backend<GMP_BACKEND>
-{ typedef mpq_class Type; };
+  : public GMP_arithmetic_kernel
-#elif defined(CGAL_USE_GMP)
+{
-#if defined(CGAL_USE_BOOST_MP)
+#ifdef CGAL_HAS_MPZF
-{ typedef BOOST_gmp_arithmetic_kernel::Rational Type; };
+  typedef Mpzf Ring_for_float;
 #else
-{ typedef Gmpq Type; };
+  typedef Gmpzf Ring_for_float;
 #endif
-#elif defined(CGAL_USE_LEDA)
+};
-{ typedef leda_rational Type; };
+#endif
-#elif defined(CGAL_USE_BOOST_MP)
+
+#ifdef CGAL_USE_GMPXX
+template <>
+struct Exact_NT_backend<GMPXX_BACKEND>
+  : public GMPXX_arithmetic_kernel
+{
+  typedef Exact_NT_backend<GMP_BACKEND>::Ring_for_float Ring_for_float;
+};
+#endif
+
+#if defined (CGAL_USE_BOOST_MP) && defined(CGAL_USE_GMP)
+template <>
+struct Exact_NT_backend<BOOST_GMP_BACKEND>
+  : public BOOST_gmp_arithmetic_kernel
+{
+  typedef Exact_NT_backend<GMP_BACKEND>::Ring_for_float Ring_for_float;
+};
+#endif
+
+#ifdef CGAL_USE_BOOST_MP
+template <>
+struct Exact_NT_backend<BOOST_BACKEND>
+{
 // See the discussion in https://github.com/CGAL/cgal/pull/3614
 // This is disabled for now because cpp_rational is even slower than Quotient<MP_Float>. Quotient<cpp_int> will be a good candidate after some polishing.
 // In fact, the new version of cpp_rational from here: https://github.com/boostorg/multiprecision/pull/366
@@ -78,28 +110,69 @@ struct Exact_field_selector
 // while Quotient does not. Though, we can still use it if needed.
 #if BOOST_VERSION <= 107800
 // See this comment: https://github.com/CGAL/cgal/pull/5937#discussion_r721533675
-{ typedef Quotient<boost::multiprecision::cpp_int> Type; };
+  typedef Quotient<boost::multiprecision::cpp_int> Rational;
 #else
-{ typedef BOOST_cpp_arithmetic_kernel::Rational Type; };
+  typedef BOOST_cpp_arithmetic_kernel::Rational Rational;
 #endif
-#else
+  typedef boost::multiprecision::cpp_int Integer;
-{ typedef Quotient<MP_Float> Type; };
+  typedef cpp_float Ring_for_float;
+};
 #endif
-#endif // BOOST_VERSION > 107900
 
-// By default, a field is a safe choice of ring.
+#ifdef CGAL_USE_LEDA
-template < typename T >
+template <>
-struct Exact_ring_selector : Exact_field_selector < T > { };
+struct Exact_NT_backend<LEDA_BACKEND>
+  : public LEDA_arithmetic_kernel
+{
+  typedef leda_rational Ring_for_float;
+};
+#endif
+
+template <>
+struct Exact_NT_backend<MP_FLOAT_BACKEND>
+  : public MP_Float_arithmetic_kernel
+{
+  typedef MP_Float Ring_for_float;
+};
+
+#ifndef CMAKE_OVERRIDDEN_DEFAULT_ENT_BACKEND
+constexpr ENT_backend_choice Default_exact_nt_backend =
+#ifdef CGAL_USE_GMPXX
+  GMPXX_BACKEND;
+#elif defined(CGAL_USE_GMP)
+  #if defined(CGAL_USE_BOOST_MP)
+    BOOST_GMP_BACKEND;
+  #else
+    GMP_BACKEND;
+  #endif
+#elif BOOST_VERSION > 107900 && defined(CGAL_USE_BOOST_MP)
+  BOOST_BACKEND;
+#elif defined(CGAL_USE_LEDA)
+  LEDA_BACKEND;
+#else
+  MP_FLOAT_BACKEND;
+#endif
+#else
+constexpr ENT_backend_choice Default_exact_nt_backend = static_cast<ENT_backend_choice>(CMAKE_OVERRIDDEN_DEFAULT_ENT_BACKEND);
+#endif
+
+template < typename >
+struct Exact_field_selector
+{
+  using Type = typename Exact_NT_backend<Default_exact_nt_backend>::Rational;
+};
+
+template < typename >
+struct Exact_ring_selector
+{
+  using Type = typename Exact_NT_backend<Default_exact_nt_backend>::Integer;
+};
 
 template <>
 struct Exact_ring_selector<double>
-#ifdef CGAL_HAS_MPZF
+{
-{ typedef Mpzf Type; };
+  using Type = typename Exact_NT_backend<Default_exact_nt_backend>::Ring_for_float;
-#elif defined(CGAL_HAS_THREADS) || !defined(CGAL_USE_GMP)
+};
-{ typedef MP_Float Type; };
-#else
-{ typedef Gmpzf Type; };
-#endif
 
 template <>
 struct Exact_ring_selector<float> : Exact_ring_selector<double> { };
@@ -133,6 +206,10 @@ struct Exact_ring_selector<Gmpzf>
 template <>
 struct Exact_field_selector<Gmpq>
 { typedef Gmpq  Type; };
+
+template <>
+struct Exact_ring_selector<Gmpq>
+{ typedef Gmpq  Type; };
 #endif
 
 #ifdef CGAL_USE_GMPXX
@@ -147,6 +224,10 @@ struct Exact_ring_selector< ::mpz_class>
 template <>
 struct Exact_field_selector< ::mpq_class>
 { typedef ::mpq_class  Type; };
+
+template <>
+struct Exact_ring_selector< ::mpq_class>
+{ typedef ::mpq_class  Type; };
 #endif
 
 #ifdef CGAL_USE_LEDA
@@ -162,6 +243,10 @@ template <>
 struct Exact_field_selector<leda_rational>
 { typedef leda_rational  Type; };
 
+template <>
+struct Exact_ring_selector<leda_rational>
+{ typedef leda_rational  Type; };
+
 template <>
 struct Exact_field_selector<leda_real>
 { typedef leda_real  Type; };
@@ -171,6 +256,28 @@ struct Exact_field_selector<leda_real>
 template <>
 struct Exact_field_selector<CORE::Expr>
 { typedef CORE::Expr  Type; };
+
+template <>
+struct Exact_ring_selector<CORE::Expr>
+{ typedef CORE::Expr  Type; };
+#endif
+
+#ifdef CGAL_USE_BOOST_MP
+template <>
+struct Exact_field_selector<Exact_NT_backend<BOOST_BACKEND>::Integer>
+{ typedef Exact_NT_backend<BOOST_BACKEND>::Rational  Type; };
+
+template <>
+struct Exact_ring_selector<Exact_NT_backend<BOOST_BACKEND>::Integer>
+{ typedef Exact_NT_backend<BOOST_BACKEND>::Integer  Type; };
+
+template <>
+struct Exact_field_selector<Exact_NT_backend<BOOST_BACKEND>::Rational>
+{ typedef Exact_NT_backend<BOOST_BACKEND>::Rational  Type; };
+
+template <>
+struct Exact_ring_selector<Exact_NT_backend<BOOST_BACKEND>::Rational>
+{ typedef Exact_NT_backend<BOOST_BACKEND>::Rational  Type; };
 #endif
 
 template < typename ET >

Number_types/include/CGAL/boost_mp.h

@@ -897,6 +897,7 @@ template< > class Real_embeddable_traits< Quotient<boost::multiprecision::cpp_in
 } //namespace CGAL
 
 #include <CGAL/BOOST_MP_arithmetic_kernel.h>
+#include <CGAL/cpp_float.h>
 
 #endif // BOOST_VERSION
 #endif

Number_types/include/CGAL/cpp_float.h

@@ -0,0 +1,581 @@
+// Copyright (c) 2023 GeometryFactory (France), INRIA Saclay - Ile de France (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, Marc Glisse
+
+#ifndef CGAL_CPP_FLOAT_H
+#define CGAL_CPP_FLOAT_H
+
+//#define CGAL_DEBUG_CPPF
+
+#include <CGAL/boost_mp.h>
+#include <CGAL/assertions.h>
+#include <boost/multiprecision/cpp_int.hpp>
+#include <iostream>
+
+namespace CGAL {
+
+
+namespace internal {
+  // Only used with an argument known not to be 0.
+  inline int low_bit (boost::uint64_t x) {
+#if defined(_MSC_VER)
+    unsigned long ret;
+    _BitScanForward64(&ret, x);
+    return (int)ret;
+#elif defined(__xlC__)
+    return __cnttz8 (x);
+#else
+    // Assume long long is 64 bits
+    return __builtin_ctzll (x);
+#endif
+  }
+  inline int high_bit (boost::uint64_t x) {
+#if defined(_MSC_VER)
+    unsigned long ret;
+    _BitScanReverse64(&ret, x);
+    return (int)ret;
+#elif defined(__xlC__)
+    // Macro supposedly not defined on z/OS.
+    return 63 - __cntlz8 (x);
+#else
+    return 63 - __builtin_clzll (x);
+#endif
+  }
+
+} // namespace internal
+
+#if 0 // needs C++20
+  template <class T>
+  void fmt(const T& t)
+  {
+    std::cout << std::format("{:b}", t) << std::endl;
+  }
+#endif
+
+// It would have made sense to make this
+// boost::multiprecision::number<some_new_backend>, but we keep that
+// for later when we contribute to boost::mp
+
+class cpp_float {
+#ifdef CGAL_DEBUG_CPPF
+  boost::multiprecision::cpp_rational rat;
+#endif
+
+  typedef boost::multiprecision::number<boost::multiprecision::cpp_int_backend<512> > Mantissa;
+  Mantissa man;
+  int exp; /* The number man (an integer) * 2 ^ exp  */
+
+public:
+  cpp_float()
+    :
+#ifdef CGAL_DEBUG_CPPF
+    rat(),
+#endif
+    man(), exp()
+  {}
+
+  cpp_float(short i)
+    :
+#ifdef CGAL_DEBUG_CPPF
+    rat(i),
+#endif
+    man(i),exp(0)
+  {}
+
+  cpp_float(int i)
+    :
+#ifdef CGAL_DEBUG_CPPF
+    rat(i),
+#endif
+    man(i),exp(0)
+  {}
+
+  cpp_float(long i)
+    :
+#ifdef CGAL_DEBUG_CPPF
+    rat(i),
+#endif
+    man(i),exp(0)
+  {}
+#ifdef CGAL_DEBUG_CPPF
+  cpp_float(const Mantissa& man,  int exp, const boost::multiprecision::cpp_rational& rat)
+    : rat(rat), man(man),exp(exp)
+  {}
+#else
+
+  cpp_float(const Mantissa& man, int exp)
+      : man(man), exp(exp)
+  {
+    CGAL_HISTOGRAM_PROFILER("size (man/exp)", static_cast<int>(man.backend().size()));
+  }
+
+#ifndef CGAL_DEBUG_CPPF
+  template <typename Expression>
+  cpp_float(const Expression& man, int exp)
+    :man(man), exp(exp)
+  {
+    CGAL_HISTOGRAM_PROFILER("size (expression/exp)", static_cast<int>(this->man.backend().size()));
+  }
+#endif
+
+#endif
+  cpp_float(double d)
+
+#ifdef CGAL_DEBUG_CPPF
+   : rat(d)
+#endif
+  {
+    // std::cout << "\ndouble = " << d << std::endl;
+    using boost::uint64_t;
+    union {
+#ifdef CGAL_LITTLE_ENDIAN
+      struct { uint64_t man:52; uint64_t exp:11; uint64_t sig:1; } s;
+#else /* CGAL_BIG_ENDIAN */
+      //WARNING: untested!
+      struct { uint64_t sig:1; uint64_t exp:11; uint64_t man:52; } s;
+#endif
+      double d;
+    } u;
+    u.d = d;
+
+    uint64_t m;
+    uint64_t dexp = u.s.exp;
+    CGAL_assertion_msg(dexp != 2047, "Creating an cpp_float from infinity or NaN.");
+    if (dexp == 0) {
+      if (d == 0) { exp=0; return; }
+      else { // denormal number
+        m = u.s.man;
+        ++dexp;
+      }
+    } else {
+      m = (1LL << 52) |  u.s.man;
+    }
+
+
+    int idexp = (int)dexp;
+    idexp -= 1023;
+
+    // std::cout << "m    = "  << m << std::endl;
+    // std::cout << "idexp = " << idexp << std::endl;
+
+    int shifted = internal::low_bit(m);
+
+    m >>= shifted;
+
+    int nbits = internal::high_bit(m);
+    // std::cout << "nbits = " << nbits << std::endl;
+
+    exp = idexp - nbits;
+    man = m;
+    if(u.s.sig){
+      man.backend().negate();
+    }
+#ifdef CGAL_DEBUG_CPPF
+    assert(rat.sign() == man.sign());
+#endif
+    // std::cout << "m = " << m << " * 2^" << exp  << std::endl;
+    // fmt(m);
+
+    CGAL_HISTOGRAM_PROFILER("size when constructed from double", static_cast<int>(man.backend().size()));
+  }
+
+
+  friend std::ostream& operator<<(std::ostream& os, const cpp_float& m)
+  {
+    return os << m.to_double();
+#if 0 // dehug output
+    return os << m.man << " * 2 ^ " << m.exp << " ( " << m.to_double() << ") "
+#ifdef CGAL_DEBUG_CPPF
+              << "  " << m.rat
+#endif
+      ;
+#endif
+  }
+
+
+  friend std::istream& operator>>(std::istream& is, cpp_float& m)
+  {
+    double d;
+    is >> d;
+    m = cpp_float(d);
+    return is;
+  }
+
+
+  friend cpp_float operator-(cpp_float const&x)
+  {
+#ifdef CGAL_DEBUG_CPPF
+    return cpp_float(-x.man,x.exp, -x.rat);
+#else
+    return cpp_float(-x.man,x.exp);
+#endif
+  }
+
+  cpp_float& operator*=(const cpp_float& other)
+  {
+#ifdef CGAL_DEBUG_CPPF
+    rat *= other.rat;
+#endif
+    man *= other.man;
+    exp += other.exp;
+    return *this;
+  }
+
+  friend
+  cpp_float operator*(const cpp_float& a, const cpp_float&b){
+#ifdef CGAL_DEBUG_CPPF
+    return cpp_float(a.man*b.man, a.exp+b.exp, a.rat * b.rat);
+#else
+      return cpp_float(a.man*b.man, a.exp+b.exp);
+#endif
+  }
+
+  // Marc Glisse commented on github:
+  // We can sometimes end up with a mantissa that has quite a few zeros at the end,
+  // but the cases where the mantissa is too long by more than 1 limb should be negligible,
+  // and normalizing so the mantissa is always odd would have a cost.
+  cpp_float operator+=(const cpp_float& other)
+  {
+#ifdef CGAL_DEBUG_CPPF
+    rat += other.rat;
+#endif
+    int shift = exp - other.exp;
+    if(shift > 0){
+      man = (man << shift) + other.man;
+      exp = other.exp;
+    }else if(shift < 0){
+      man = man + (other.man << -shift);
+    }else{
+      man += other.man;
+    }
+    return *this;
+  }
+
+#ifdef CGAL_DEBUG_CPPF
+  friend
+  cpp_float operator+(const cpp_float& a, const cpp_float&b){
+    int shift = a.exp - b.exp;
+    if(shift > 0){
+      return cpp_float((a.man << shift) + b.man, b.exp, a.rat+b.rat);
+    }else if(shift < 0){
+      return cpp_float(a.man + (b.man << -shift), a.exp, a.rat+b.rat);
+    }
+    return cpp_float(a.man + b.man, a.exp, a.rat+b.rat);
+  }
+#else
+  friend
+  cpp_float operator+(const cpp_float& a, const cpp_float&b){
+    int shift = a.exp - b.exp;
+    CGAL_HISTOGRAM_PROFILER("shift+", CGAL::abs(shift));
+    if(shift > 0){
+      return cpp_float((a.man << shift) + b.man, b.exp);
+    }else if(shift < 0){
+      return cpp_float(a.man + (b.man << -shift), a.exp);
+    }
+    return cpp_float(a.man + b.man, a.exp);
+  }
+#endif
+
+  cpp_float operator-=(const cpp_float& other)
+  {
+
+#ifdef CGAL_DEBUG_CPPF
+    rat -= other.rat;
+#endif
+    int shift = exp - other.exp;
+    if(shift > 0){
+      man <<= shift;
+      man -= other.man;
+      exp = other.exp;
+    }else if(shift < 0){
+      man -= (other.man << -shift);
+    }else{
+      man -= other.man;
+    }
+    return *this;
+  }
+
+  #ifdef CGAL_DEBUG_CPPF
+  friend
+  cpp_float operator-(const cpp_float& a, const cpp_float&b){
+
+    int shift = a.exp - b.exp;
+    if(shift > 0){
+      return cpp_float((a.man << shift) - b.man, b.exp, a.rat-b.rat);
+    }else if(shift < 0){
+      return cpp_float(a.man - (b.man << -shift), a.exp, a.rat-b.rat);
+    }
+    return cpp_float(a.man - b.man, a.exp, a.rat-b.rat);
+  }
+#else
+  friend
+  cpp_float operator-(const cpp_float& a, const cpp_float&b){
+
+    int shift = a.exp - b.exp;
+    CGAL_HISTOGRAM_PROFILER("shift-", CGAL::abs(shift));
+    if(shift > 0){
+      return cpp_float((a.man << shift) - b.man, b.exp);
+    }else if(shift < 0){
+      return cpp_float(a.man - (b.man << -shift), a.exp);
+    }
+    return cpp_float(a.man - b.man, a.exp);
+  }
+#endif
+
+  bool is_positive() const
+  {
+    return CGAL::is_positive(man);
+  }
+
+  bool is_negative() const
+  {
+    return CGAL::is_negative(man);
+  }
+
+  // Would it make sense to compare the sign of the exponent?
+  // to distinguish the interval between ]-1,1[  from the rest.
+  friend bool operator<(const cpp_float& a, const cpp_float& b)
+  {
+    if(((! a.is_positive()) && b.is_positive())
+       || (a.is_negative() && b.is_zero()))return true;
+    if(((! b.is_positive()) && a.is_positive())
+       || (b.is_negative() && a.is_zero()))return false;
+
+#ifdef CGAL_DEBUG_CPPF
+    bool qres = a.rat < b.rat;
+#endif
+    cpp_float d = b-a;
+#ifdef CGAL_DEBUG_CPPF
+    assert(qres == d.is_positive());
+#endif
+    return d.is_positive();
+  }
+
+  friend bool operator>(cpp_float const&a, cpp_float const&b){
+    return b<a;
+  }
+  friend bool operator>=(cpp_float const&a, cpp_float const&b){
+    return !(a<b);
+  }
+  friend bool operator<=(cpp_float const&a, cpp_float const&b){
+    return !(a>b);
+  }
+
+
+  friend bool operator==(cpp_float const&a, cpp_float const&b){
+
+#ifdef CGAL_DEBUG_CPPF
+    bool qres = a.rat == b.rat;
+#endif
+   int shift = a.exp - b.exp;
+   CGAL_HISTOGRAM_PROFILER("shift==", CGAL::abs(shift));
+    if(shift > 0){
+      Mantissa ac = a.man << shift;
+#ifdef CGAL_DEBUG_CPPF
+      assert( qres == (ac == b.man));
+#endif
+      return ac == b.man;
+    }else if(shift < 0){
+      Mantissa  bc = b.man << -shift;
+#ifdef CGAL_DEBUG_CPPF
+      assert(qres == (a.man == bc));
+#endif
+      return a.man == bc;
+    }
+#ifdef CGAL_DEBUG_CPPF
+    assert(qres == (a.man == b.man));
+#endif
+    return a.man==b.man;
+  }
+
+  Comparison_result compare(const cpp_float& other) const
+  {
+    if(*this < other) return SMALLER;
+    if(*this > other) return LARGER;
+    return EQUAL;
+  }
+
+  friend bool operator!=(cpp_float const&a, cpp_float const&b){
+    return !(a==b);
+  }
+
+  double to_double() const
+  {
+    if(exp == 0){
+      return CGAL::to_double(man);
+    }
+    if(exp > 0){
+      Mantissa as(man);
+      as <<= exp;
+      return CGAL::to_double(as);
+    }
+    Mantissa pow(1);
+    pow <<= -exp;
+    boost::multiprecision::cpp_rational r(man, pow);
+    return CGAL::to_double(r);
+  }
+
+  std::pair<double,double> to_interval() const
+  {
+      if(exp == 0){
+      return CGAL::to_interval(man);
+    }
+    if(exp > 0){
+      Mantissa as = man << exp;
+      return CGAL::to_interval(as);
+    }
+    Mantissa pow(1);
+    pow <<= -exp;
+    boost::multiprecision::cpp_rational r(man, pow);
+    return CGAL::to_interval(r);
+  }
+
+
+  bool is_zero () const {
+    return CGAL::is_zero(man);
+  }
+
+
+  bool is_one () const {
+    if(! is_positive()) return false;
+
+    int msb = static_cast<int>(boost::multiprecision::msb(man));
+    if (msb != -exp) return false;
+    int lsb = static_cast<int>(boost::multiprecision::lsb(man));
+    return (msb == lsb);
+  }
+
+
+  CGAL::Sign sign () const
+  {
+    return CGAL::sign(man);
+  }
+
+  std::size_t size() const
+  {
+    return man.backend().size();
+  }
+};
+
+
+  template <> struct Algebraic_structure_traits< cpp_float >
+    : public Algebraic_structure_traits_base< cpp_float, Integral_domain_without_division_tag >  {
+      typedef Tag_true            Is_exact;
+      typedef Tag_false            Is_numerical_sensitive;
+
+      struct Is_zero
+        : public CGAL::cpp98::unary_function< Type, bool > {
+          bool operator()( const Type& x ) const {
+            return x.is_zero();
+          }
+        };
+
+      struct Is_one
+        : public CGAL::cpp98::unary_function< Type, bool > {
+          bool operator()( const Type& x ) const {
+            return x.is_one();
+          }
+        };
+
+      struct Gcd
+        : public CGAL::cpp98::binary_function< Type, Type, Type > {
+          Type operator()(
+              const Type& /* x */,
+              const Type& /* y */ ) const {
+            assert(false);
+            return Type(); // cpp_float_gcd(x, y);
+          }
+        };
+
+      struct Square
+        : public CGAL::cpp98::unary_function< Type, Type > {
+          Type operator()( const Type& x ) const {
+            return x*x ; // cpp_float_square(x);
+          }
+        };
+
+      struct Integral_division
+        : public CGAL::cpp98::binary_function< Type, Type, Type > {
+          Type operator()(
+              const Type& /* x */,
+              const Type& /* y */ ) const {
+            assert(false);
+            return Type(); // x / y;
+          }
+        };
+
+      struct Sqrt
+        : public CGAL::cpp98::unary_function< Type, Type > {
+          Type operator()( const Type& /* x */) const {
+            assert(false);
+            return Type(); // cpp_float_sqrt(x);
+          }
+        };
+
+      struct Is_square
+        : public CGAL::cpp98::binary_function< Type, Type&, bool > {
+          bool operator()( const Type& /* x */, Type& /* y */ ) const {
+            // TODO: avoid doing 2 calls.
+            assert(false);
+            return true;
+          }
+          bool operator()( const Type& /* x */) const {
+            assert(false);
+            return true;
+          }
+        };
+
+    };
+  template <> struct Real_embeddable_traits< cpp_float >
+    : public INTERN_RET::Real_embeddable_traits_base< cpp_float , CGAL::Tag_true > {
+      struct Sgn
+        : public CGAL::cpp98::unary_function< Type, ::CGAL::Sign > {
+          ::CGAL::Sign operator()( const Type& x ) const {
+            return x.sign();
+          }
+        };
+
+      struct To_double
+        : public CGAL::cpp98::unary_function< Type, double > {
+            double operator()( const Type& x ) const {
+              return x.to_double();
+            }
+        };
+
+      struct Compare
+        : public CGAL::cpp98::binary_function< Type, Type, Comparison_result > {
+            Comparison_result operator()(
+                const Type& x,
+                const Type& y ) const {
+              return x.compare(y);
+            }
+        };
+
+      struct To_interval
+        : public CGAL::cpp98::unary_function< Type, std::pair< double, double > > {
+            std::pair<double, double> operator()( const Type& x ) const {
+              return x.to_interval();
+            }
+        };
+
+    };
+
+
+CGAL_DEFINE_COERCION_TRAITS_FOR_SELF(cpp_float)
+CGAL_DEFINE_COERCION_TRAITS_FROM_TO(short    ,cpp_float)
+CGAL_DEFINE_COERCION_TRAITS_FROM_TO(int      ,cpp_float)
+CGAL_DEFINE_COERCION_TRAITS_FROM_TO(long     ,cpp_float)
+CGAL_DEFINE_COERCION_TRAITS_FROM_TO(float    ,cpp_float)
+CGAL_DEFINE_COERCION_TRAITS_FROM_TO(double   ,cpp_float)
+
+} // namespace CGAL
+
+
+#endif // CGAL_CPP_FLOAT_H

Number_types/test/Number_types/CMakeLists.txt

@@ -11,6 +11,7 @@ find_package(CGAL REQUIRED COMPONENTS Core)
 include_directories(BEFORE include)
 
 create_single_source_cgal_program("bench_interval.cpp")
+create_single_source_cgal_program("cpp_float.cpp")
 create_single_source_cgal_program("constant.cpp")
 create_single_source_cgal_program("CORE_BigFloat.cpp")
 create_single_source_cgal_program("CORE_BigInt.cpp")

Number_types/test/Number_types/cpp_float.cpp

@@ -0,0 +1,116 @@
+#ifdef CGAL_DO_NOT_USE_BOOST_MP
+
+#include <iostream>
+
+int main()
+{
+  std::cout << "The class CGAL::cpp_float is not tested on this platform" << std::endl;
+  return 0;
+}
+
+#else
+
+#include <CGAL/cpp_float.h>
+
+template<class NT>
+void test1(){
+  NT z;
+  NT a=3;
+  NT b=4.5;
+  NT c=2*(a+b)+-a*5;
+  assert(CGAL::sign(c)==0);
+
+  NT e=.0003;
+  NT f=1e-90;
+  assert(CGAL::to_double(b) == 4.5);
+  std::pair<double,double> p=CGAL::to_interval(b);
+  assert(p.first<=4.5 && p.second >= 4.5);
+  assert(a<b && CGAL::compare(b,a)>0);
+  assert(z<f && CGAL::compare(z,f)<0 && CGAL::compare(f,z)>0);
+  assert(z==z && CGAL::compare(z,z)==0);
+  assert(CGAL::square(b)*4==81);
+  assert(CGAL::is_zero(c));
+  assert(!CGAL::is_zero(a));
+  assert(!CGAL::is_one(a));
+  assert(CGAL::is_one(a-2));
+  assert(e-e==0);
+}
+
+int main()
+{
+  test1<CGAL::cpp_float>();
+
+  double d = -0;
+  CGAL::cpp_float zero(d);
+  assert(! CGAL::is_positive(zero));
+  assert(! CGAL::is_negative(zero));
+  assert(CGAL::is_zero(zero));
+
+  CGAL::cpp_float m(0);
+  std::cout << m << std::endl;
+
+  CGAL::cpp_float m0(23.0);
+
+  CGAL::cpp_float m1(5.0);
+
+  CGAL::cpp_float m2(5.125);
+
+  CGAL::cpp_float m3(2.5);
+
+  CGAL::cpp_float m4(0.625);
+
+
+  CGAL::cpp_float m5(0.5);
+
+  CGAL::cpp_float m6(-0.625);
+
+  CGAL::is_positive(m5);
+  CGAL::is_negative(m6);
+
+  assert(m < m5);
+  assert(m6 < m);
+  assert(! (m5 < m));
+  assert(! (m < m6));
+  assert(! (m6 < m6));
+
+
+
+  assert(m4 > m5);
+
+  assert(-m4 < -m5);
+
+
+  assert(-m4 == -m4);
+
+
+  assert(-m4 != -m5);
+
+  assert(-m5 != -m4);
+
+  CGAL::cpp_float m15 = m1 + m5;
+  m15 = m15 - m5;
+  assert(m15 == m1);
+  assert(! (m15 < m1));
+  assert(! (m1 < m15));
+
+  m15 = m15 - m15;
+  std::cout << m15 << std::endl;
+  assert(m15.is_zero());
+
+  m1 *= m5;
+
+  m0 += m4;
+  std::cout << m0 << std::endl;
+
+  CGAL::cpp_float one(1);
+  assert(one.is_one());
+  one += m4;
+  one -= m4;
+  std::cout << one << std::endl;
+  assert(one.is_one());
+
+
+  return 0;
+}
+
+#endif

Polygon/doc/Polygon/Concepts/GeneralPolygonWithHoles_2.h

@@ -18,19 +18,15 @@ public:
 /// \name Types
 /// @{
 
-/*! the polygon type used to represent the outer boundary and each hole.
+//! the polygon type used to represent the outer boundary and each hole.
- */
 typedef unspecified_type Polygon_2;
 
-/*! a bidirectional iterator
+/*! a bidirectional iterator over the polygonal holes.
- * over the polygonal holes. Its value type is `Polygon_2`.
+ * Its value type is `Polygon_2`.
  */
 typedef unspecified_type Hole_const_iterator;
 
-
+//! range type for iterating over holes.
-/*!
-range type for iterating over holes.
-*/
 typedef unspecified_type Holes_container;
 
 /// @}
@@ -54,10 +50,18 @@ GeneralPolygonWithHoles_2(Polygon_2 & outer,
 /// \name Predicates
 /// @{
 
-/*! returns `true` if the outer boundary is empty, and `false` otherwise.
+/*! returns `true` if the outer boundary is empty and `false` otherwise.
  */
 bool is_unbounded();
 
+/*! returns `true` if the polygon with holes has holes and `false` otherwise.
+ */
+bool has_holes();
+
+/*! returns the number of holes.
+ */
+Size number_of_holes();
+
 /// @}
 
 /// \name Access Functions
@@ -77,12 +81,36 @@ Hole_const_iterator holes_begin() const;
  */
 Hole_const_iterator holes_end() const;
 
-
+/*! returns the range of holes.
-/*!
+ */
-returns the range of holes.
-*/
 const Holes_container& holes() const;
 
 /// @}
 
+/// \name Modifiers
+/// @{
+
+/*! adds a given polygon as a hole.
+ * \pre the hole must be clockwise oriented.
+ */
+void add_hole(const Polygon_2& hole);
+
+/*! erases the specified hole.
+ */
+void erase_hole(Hole_iterator hit);
+
+/*! clears the output boundary.
+ */
+void clear_outer_boundary();
+
+/*! removes all the holes.
+ */
+void clear_holes();
+
+/*! removes the outer boundary and all holes.
+ */
+void clear();
+
+/// @}
+
 }; /* end GeneralPolygonWithHoles_2 */

Polygon/include/CGAL/General_polygon_with_holes_2.h

@@ -12,7 +12,8 @@
 // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
 //
 //
-// Author(s)     : Baruch Zukerman <baruchzu@post.tau.ac.il>
+// Author(s): Baruch Zukerman <baruchzu@post.tau.ac.il>
+//            Efi Fogel <efifogel@gmail.com>
 
 #ifndef CGAL_GENERAL_POLYGON_WITH_HOLES_2_H
 #define CGAL_GENERAL_POLYGON_WITH_HOLES_2_H
@@ -107,6 +108,10 @@ public:
 
   void erase_hole(Hole_iterator hit) { m_holes.erase(hit); }
 
+  void clear_outer_boundary() { m_pgn.clear(); }
+
+  void clear_holes() { m_holes.clear(); }
+
   bool has_holes() const { return (!m_holes.empty()); }
 
   Size number_of_holes() const { return static_cast<Size>(m_holes.size()); }

Polygon/include/CGAL/draw_polygon_with_holes_2.h

@@ -23,103 +23,149 @@
 namespace CGAL {
 
 /*!
-\ingroup PkgDrawPolygonWithHoles2
+ * \ingroup PkgDrawPolygonWithHoles2
+ *
+ * opens a new window and draws `aph`, an instance of the
+ * `CGAL::Polygon_with_holes_2` class. A call to this function is blocking, that
+ * is the program continues as soon as the user closes the window. This function
+ * requires `CGAL_Qt5`, and is only available if the macro
+ * `CGAL_USE_BASIC_VIEWER` is defined.  Linking with the cmake target
+ * `CGAL::CGAL_Basic_viewer` will link with `CGAL_Qt5` and add the definition
+ * `CGAL_USE_BASIC_VIEWER`.
+ * \tparam PH an instance of the `CGAL::Polygon_with_holes_2` class.
+ * \param aph the polygon with holes to draw.
+ */
 
-opens a new window and draws `aph`, an instance of the `CGAL::Polygon_with_holes_2` class. A call to this function is blocking, that is the program continues as soon as the user closes the window. This function requires `CGAL_Qt5`, and is only available if the macro `CGAL_USE_BASIC_VIEWER` is defined.
+template <typename PH>
-Linking with the cmake target `CGAL::CGAL_Basic_viewer` will link with `CGAL_Qt5` and add the definition `CGAL_USE_BASIC_VIEWER`.
-\tparam PH an instance of the `CGAL::Polygon_with_holes_2` class.
-\param aph the polygon with holes to draw.
-
-*/
-template<class PH>
 void draw(const PH& aph);
 
 } /* namespace CGAL */
+
 #endif
 
 #ifdef CGAL_USE_BASIC_VIEWER
+
 #include <CGAL/Qt/init_ogl_context.h>
 #include <CGAL/Polygon_with_holes_2.h>
-#include <CGAL/Random.h>
 
-namespace CGAL
+namespace CGAL {
-{
 
 // Viewer class for Polygon_with_holes_2
-template<class P2>
+template <typename PolygonWidthHoles_2>
-class SimplePolygonWithHoles2ViewerQt : public Basic_viewer_qt
+class Pwh_2_basic_viewer_qt : public Basic_viewer_qt {
-{
+  using Base = Basic_viewer_qt;
-  typedef Basic_viewer_qt      Base;
+  using Pwh = PolygonWidthHoles_2;
-  typedef typename P2::General_polygon_2::Point_2 Point;
+  using Pgn = typename Pwh::Polygon_2;
+  using Pnt = typename Pgn::Point_2;
 
 public:
-  /// Construct the viewer without drawing anything.
+  /// Construct the viewer.
+  /// @param parent the active window to draw
+  /// @param pwh the polygon to view
   /// @param title the title of the window
-  SimplePolygonWithHoles2ViewerQt(QWidget* parent,
+  Pwh_2_basic_viewer_qt(QWidget* parent, const Pwh& pwh,
-                                  const char* title="Basic Polygon_with_holes_2 Viewer") :
+                        const char* title = "Basic Polygon_with_holes_2 Viewer") :
-    Base(parent, title, true, true, true, false, false)
+    Base(parent, title, true, true, true, false, false),
+    m_pwh(pwh)
   {
-      clear();
+    if (pwh.is_unbounded() && (0 == pwh.number_of_holes())) return;
+
+    // mimic the computation of Camera::pixelGLRatio()
+    auto bbox = bounding_box();
+    CGAL::qglviewer::Vec minv(bbox.xmin(), bbox.ymin(), 0);
+    CGAL::qglviewer::Vec maxv(bbox.xmax(), bbox.ymax(), 0);
+    auto diameter = (maxv - minv).norm();
+    m_pixel_ratio = diameter / m_height;
   }
 
-  /// Construct the viewer.
+  /*! Intercept the resizing of the window.
-  /// @param ap2 the polygon to view
+   */
-  /// @param title the title of the window
+  virtual void resizeGL(int width, int height) {
-  SimplePolygonWithHoles2ViewerQt(QWidget* parent, const P2& ap2,
+    CGAL::QGLViewer::resizeGL(width, height);
-                                  const char* title="Basic Polygon_with_holes_2 Viewer") :
+    m_width = width;
-    // First draw: vertices; edges, faces; multi-color; no inverse normal
+    m_height = height;
-    Base(parent, title, true, true, true, false, false)
+    CGAL::qglviewer::Vec p;
-  {
+    auto ratio = camera()->pixelGLRatio(p);
+    m_pixel_ratio = ratio;
+    add_elements();
+  }
+
+  /*! Obtain the pixel ratio.
+   */
+  double pixel_ratio() const { return m_pixel_ratio; }
+
+  /*! Compute the bounding box.
+   */
+  CGAL::Bbox_2 bounding_box() {
+    if (! m_pwh.is_unbounded()) return m_pwh.outer_boundary().bbox();
+
+    Bbox_2 bbox;
+    for (auto it = m_pwh.holes_begin(); it != m_pwh.holes_end(); ++it)
+      bbox += it->bbox();
+    return bbox;
+  }
+
+  /*! Compute the elements of a polygon with holes.
+   */
+  void add_elements() {
     clear();
-    compute_elements(ap2);
+    CGAL::IO::Color c(75,160,255);
+    face_begin(c);
+
+    const Pnt* point_in_face;
+    if (m_pwh.outer_boundary().is_empty()) {
+      Pgn pgn;
+
+      double x = (double)m_width * 0.5 * m_pixel_ratio;
+      double y = (double)m_height * 0.5 * m_pixel_ratio;
+      pgn.push_back(Pnt(-x, -y));
+      pgn.push_back(Pnt(x, -y));
+      pgn.push_back(Pnt(x, y));
+      pgn.push_back(Pnt(-x, y));
+      compute_loop(pgn, false);
+      point_in_face = &(pgn.vertex(pgn.size()-1));
+    }
+    else {
+      const auto& outer_boundary = m_pwh.outer_boundary();
+      compute_loop(outer_boundary, false);
+      point_in_face = &(outer_boundary.vertex(outer_boundary.size()-1));
+    }
+
+    for (auto it = m_pwh.holes_begin(); it != m_pwh.holes_end(); ++it) {
+      compute_loop(*it, true);
+      add_point_in_face(*point_in_face);
+    }
+
+    face_end();
   }
 
 protected:
-  void compute_one_loop_elements(const typename P2::General_polygon_2& p, bool hole)
+  /*! Compute the face
-  {
+   */
-    if (hole)
+  void compute_loop(const Pgn& p, bool hole) {
-    { add_point_in_face(p.vertex(p.size()-1)); }
+    if (hole) add_point_in_face(p.vertex(p.size()-1));
 
-    typename P2::General_polygon_2::Vertex_const_iterator prev;
+    auto prev = p.vertices_begin();
-    for (typename P2::General_polygon_2::Vertex_const_iterator i=p.vertices_begin();
+    auto it = prev;
-         i!=p.vertices_end(); ++i)
+    add_point(*it);
-    {
+    add_point_in_face(*it);
-      add_point(*i);         // Add vertex
+    for (++it; it != p.vertices_end(); ++it) {
-      if (i!=p.vertices_begin())
+      add_segment(*prev, *it);  // add segment with previous point
-      { add_segment(*prev, *i); } // Add segment with previous point
+      add_point(*it);
-      add_point_in_face(*i); // Add point in face
+      add_point_in_face(*it);   // add point in face
-      prev=i;
+      prev = it;
     }
 
     // Add the last segment between the last point and the first one
     add_segment(*prev, *(p.vertices_begin()));
   }
 
-  void compute_elements(const P2& p2)
+  virtual void keyPressEvent(QKeyEvent* e) {
-  {
-    if (p2.outer_boundary().is_empty()) return;
-
-    CGAL::IO::Color c(75,160,255);
-    face_begin(c);
-
-    compute_one_loop_elements(p2.outer_boundary(), false);
-
-    for (typename P2::Hole_const_iterator it=p2.holes_begin(); it!=p2.holes_end(); ++it)
-    {
-      compute_one_loop_elements(*it, true);
-      add_point_in_face(p2.outer_boundary().vertex(p2.outer_boundary().size()-1));
-    }
-
-    face_end();
-  }
-
-  virtual void keyPressEvent(QKeyEvent *e)
-  {
     // Test key pressed:
     //    const ::Qt::KeyboardModifiers modifiers = e->modifiers();
     //    if ((e->key()==Qt::Key_PageUp) && (modifiers==Qt::NoButton)) { ... }
 
-    // Call: * compute_elements() if the model changed, followed by
+    // Call: * add_elements() if the model changed, followed by
     //       * redraw() if some viewing parameters changed that implies some
     //                  modifications of the buffers
     //                  (eg. type of normal, color/mono)
@@ -128,27 +174,41 @@ protected:
     // Call the base method to process others/classicals key
     Base::keyPressEvent(e);
   }
+
+private:
+  //! The window width in pixels.
+  int m_width = CGAL_BASIC_VIEWER_INIT_SIZE_X;
+
+  //! The window height in pixels.
+  int m_height = CGAL_BASIC_VIEWER_INIT_SIZE_Y;
+
+  //! The ratio between pixel and opengl units (in world coordinate system).
+  double m_pixel_ratio = 1;
+
+  //! The polygon with holes to draw.
+  const Pwh& m_pwh;
 };
 
 // Specialization of draw function.
 template<class T, class C>
-void draw(const CGAL::Polygon_with_holes_2<T, C>& ap2,
+void draw(const CGAL::Polygon_with_holes_2<T, C>& pwh,
-          const char* title="Polygon_with_holes_2 Basic Viewer")
+          const char* title = "Polygon_with_holes_2 Basic Viewer")
 {
 #if defined(CGAL_TEST_SUITE)
-  bool cgal_test_suite=true;
+  bool cgal_test_suite = true;
 #else
-  bool cgal_test_suite=qEnvironmentVariableIsSet("CGAL_TEST_SUITE");
+  bool cgal_test_suite = qEnvironmentVariableIsSet("CGAL_TEST_SUITE");
 #endif
 
-  if (!cgal_test_suite)
+  if (! cgal_test_suite) {
-  {
+    using Pwh = CGAL::Polygon_with_holes_2<T, C>;
+    using Viewer = Pwh_2_basic_viewer_qt<Pwh>;
     CGAL::Qt::init_ogl_context(4,3);
-    int argc=1;
+    int argc = 1;
-    const char* argv[2]={"t2_viewer", nullptr};
+    const char* argv[2] = {"t2_viewer", nullptr};
-    QApplication app(argc,const_cast<char**>(argv));
+    QApplication app(argc, const_cast<char**>(argv));
-    SimplePolygonWithHoles2ViewerQt<CGAL::Polygon_with_holes_2<T, C> >
+    Viewer mainwindow(app.activeWindow(), pwh, title);
-      mainwindow(app.activeWindow(), ap2, title);
+    mainwindow.add_elements();
     mainwindow.show();
     app.exec();
   }

Polygon_mesh_processing/test/Polygon_mesh_processing/test_corefinement_bool_op.cpp

@@ -1,5 +1,6 @@
 // #define CGAL_COREFINEMENT_POLYHEDRA_DEBUG
 // #define CGAL_COREFINEMENT_DEBUG
+#define  CGAL_USE_DERIVED_SURFACE_MESH
 
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Surface_mesh.h>
@@ -13,9 +14,17 @@
 #include <CGAL/iterator.h>
 #include <CGAL/array.h>
 
+#include <CGAL/Testsuite/DerivedSurfaceMesh.h>
 
 typedef CGAL::Exact_predicates_inexact_constructions_kernel              Kernel;
-typedef CGAL::Surface_mesh<Kernel::Point_3> Surface_mesh;
+typedef Kernel::Point_3 Point_3;
+
+
+#ifdef CGAL_USE_DERIVED_SURFACE_MESH
+typedef CGAL::Testsuite::DerivedSurfaceMesh<Point_3> Surface_mesh;
+#else
+typedef CGAL::Surface_mesh<Point_3> Surface_mesh;
+#endif
 
 namespace PMP = CGAL::Polygon_mesh_processing;
 namespace CFR = PMP::Corefinement;

Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Io_image_plugin.cpp

@@ -1090,7 +1090,7 @@ QString Io_image_plugin::nameFilters() const
                  "Analyze files (*.hdr *.img *.img.gz) ;; "
                  "Stanford Exploration Project files (*.H *.HH) ;; "
                  "NRRD image files (*.nrrd) ;; "
-                 "NIFTI image files (*.nii)");
+                 "NIFTI image files (*.nii *.nii.gz)");
 }
 
 bool Io_image_plugin::canLoad(QFileInfo) const
@@ -1146,7 +1146,9 @@ Io_image_plugin::load(QFileInfo fileinfo, bool& ok, bool add_to_scene)
   }
 
   // read a NIFTI file
-  if(fileinfo.suffix() == "nii")
+  if(fileinfo.suffix() == "nii"
+    || (   fileinfo.suffix() == "gz"
+        && fileinfo.fileName().endsWith(QString(".nii.gz"), Qt::CaseInsensitive)))
   {
 #ifdef CGAL_USE_VTK
     vtkNew<vtkNIFTIImageReader> reader;

Polyhedron/demo/Polyhedron/Scene_triangulation_3_item.cpp

@@ -705,6 +705,9 @@ create_histogram(const T3& triangulation, double& min_value, double& max_value)
     cit != triangulation.finite_cells_end();
     ++cit)
   {
+    if(cit->subdomain_index() == 0)
+      continue;
+
 #ifdef CGAL_MESH_3_DEMO_DONT_COUNT_TETS_ADJACENT_TO_SHARP_FEATURES_FOR_HISTOGRAM
     if (triangulation.in_dimension(cit->vertex(0)) <= 1
       || triangulation.in_dimension(cit->vertex(1)) <= 1

STL_Extension/include/CGAL/assertions.h

@@ -59,7 +59,7 @@ inline void set_use_assertions(bool b)
 }
 }
 
-#else
+#elif !defined(CGAL_USER_DEFINED_USE_ASSERTIONS)
 
 namespace CGAL{
 inline void set_use_assertions(bool){}

Testsuite/include/CGAL/Testsuite/DerivedSurfaceMesh.h

@@ -0,0 +1,33 @@
+// Copyright (c) 2023   GeometryFactory Sophia-Antipolis (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_TESTSUITE_DERIVED_SURFACE_MESH_H
+#define CGAL_TESTSUITE_DERIVED_SURFACE_MESH_H
+
+namespace CGAL { namespace Testsuite {
+
+  template <typename P>
+  struct DerivedSurfaceMesh: public CGAL::Surface_mesh<P> {
+    typedef CGAL::Surface_mesh<P> Base;
+    std::string name;
+  };
+
+
+  } // namespace Testsuite
+} // namespace CGAL
+
+
+#define CGAL_GRAPH_TRAITS_INHERITANCE_TEMPLATE_PARAMS typename P
+#define CGAL_GRAPH_TRAITS_INHERITANCE_CLASS_NAME CGAL::Testsuite::DerivedSurfaceMesh<P>
+#define CGAL_GRAPH_TRAITS_INHERITANCE_BASE_CLASS_NAME CGAL::Surface_mesh<P>
+#include <CGAL/boost/graph/graph_traits_inheritance_macros.h>
+
+#endif //CGAL_TESTSUITE_DERIVED_SURFACE_MESH_H

Triangulation_3/benchmark/Triangulation_3/CMakeLists.txt

@@ -8,6 +8,26 @@ project(Triangulation_3)
 # CGAL and its components
 find_package(CGAL REQUIRED)
 
+# Boost and its components
+find_package(Boost REQUIRED)
+
+if(NOT Boost_FOUND)
+
+  message(
+    STATUS "This project requires the Boost library, and will not be compiled.")
+
+  return()
+
+endif()
+
+# include for local directory
+
+# include for local package
+
+# Creating entries for all C++ files with "main" routine
+# ##########################################################
+
+create_single_source_cgal_program("ocean.cpp")
 create_single_source_cgal_program("incident_edges.cpp")
 create_single_source_cgal_program("simple_2.cpp")
 create_single_source_cgal_program("simple.cpp")

Triangulation_3/benchmark/Triangulation_3/ocean.cpp

@@ -0,0 +1,20 @@
+#include <fstream>
+#include <CGAL/Random.h>
+
+int main()
+{
+  int N=100;
+  std::cout.precision(17);
+  CGAL::Random rng;
+
+  for(int i = 0; i < N; ++i){
+    double x = rng.get_double(-1.0, 1.0);
+    double y = rng.get_double(-1.0, 1.0);
+
+    for(int j = 0; j < N; j++){
+      std::cout << x << " " << y  <<  " " << rng.get_double(-1.0, 1.0) << std::endl;
+    }
+  }
+
+  return 0;
+}

Triangulation_3/benchmark/Triangulation_3/simple.cpp

@@ -1,6 +1,6 @@
 //#define CGAL_PROFILE
-#define CGAL_USE_SSE2_FABS
+//#define CGAL_USE_SSE2_FABS
-#define CGAL_USE_SSE2_MAX
+//#define CGAL_USE_SSE2_MAX
 //#define CGAL_MSVC_USE_STD_FABS  // use this one with precise
 
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
@@ -11,25 +11,31 @@
 
 #include <CGAL/Timer.h>
 #include <iostream>
+#include <string>
+#include <fstream>
 
 typedef CGAL::Exact_predicates_inexact_constructions_kernel  K;
 typedef CGAL::Delaunay_triangulation_3<K>                    DT;
 typedef DT::Point                                            Point_3;
 typedef CGAL::Timer                                          Timer;
 
-int main()
+int main(int argc, char* argv[])
 {
-
+  const std::string filename = (argc > 1) ? argv[1] : CGAL::data_file_path("points_3/ocean_r.xyz");
+  std::ifstream in(filename.c_str());
   std::vector<Point_3> points;
-  Point_3 p;
+  Point_3 p, q;
 
-  while(std::cin >> p){
+  while(in >> p ){
     points.push_back(p);
   }
+
+  std::cout << points.size() << " points read\n";
+
   Timer timer;
   timer.start();
   size_t N = 0;
-  for(int i = 0; i < 5; i++){
+  for(int i = 0; i < 1; i++){
     DT dt;
     dt.insert(points.begin(), points.end());
     N += dt.number_of_cells();

Triangulation_3/include/CGAL/Regular_triangulation_3.h

@@ -141,6 +141,25 @@ public:
   typedef typename Gt::Plane_3       Plane;
   typedef typename Gt::Object_3      Object;
 
+#ifdef CGAL_LINKED_WITH_TBB
+  // For parallel methods, one store a hint (a `Vertex_handle`).
+  // We need to have a copy of the point of that vertex as a cache, because
+  // calls to `hint->point()` might not be thread-safe.
+  struct Vertex_handle_and_point {
+    Vertex_handle_and_point(Vertex_handle v) : vh(v), wpt(v->point())
+    {}
+    Vertex_handle_and_point& operator=(Vertex_handle v)
+    {
+      vh = v;
+      wpt = v->point();
+      return *this;
+    }
+    Vertex_handle vh;
+    Weighted_point wpt;
+  };
+  using Hint = tbb::enumerable_thread_specific<Vertex_handle_and_point>;
+#endif // CGAL_LINKED_WITH_TBB
+
   //Tag to distinguish Delaunay from regular triangulations
   typedef Tag_true                   Weighted_tag;
 
@@ -400,7 +419,7 @@ public:
         ++i;
       }
 
-      tbb::enumerable_thread_specific<Vertex_handle> tls_hint(hint->vertex(0));
+      Hint tls_hint(hint->vertex(0));
       tbb::parallel_for(tbb::blocked_range<size_t>(i, num_points),
                         Insert_point<Self>(*this, points, tls_hint));
 
@@ -532,7 +551,7 @@ private:
         ++i;
       }
 
-      tbb::enumerable_thread_specific<Vertex_handle> tls_hint(hint->vertex(0));
+      Hint tls_hint(hint->vertex(0));
       tbb::parallel_for(tbb::blocked_range<size_t>(i, num_points),
                         Insert_point_with_info<Self>(*this, points, infos, indices, tls_hint));
 
@@ -1399,13 +1418,13 @@ protected:
 
     RT& m_rt;
     const std::vector<Weighted_point>& m_points;
-    tbb::enumerable_thread_specific<Vertex_handle>& m_tls_hint;
+    Hint& m_tls_hint;
 
   public:
     // Constructor
     Insert_point(RT& rt,
                  const std::vector<Weighted_point>& points,
-                 tbb::enumerable_thread_specific<Vertex_handle>& tls_hint)
+                 Hint& tls_hint)
       : m_rt(rt), m_points(points), m_tls_hint(tls_hint)
     {}
 
@@ -1417,7 +1436,9 @@ protected:
             "early withdrawals / late withdrawals / successes [Delaunay_tri_3::insert]");
 #endif
 
-      Vertex_handle& hint = m_tls_hint.local();
+      auto& vertex_hint_and_point = m_tls_hint.local();
+      Vertex_handle& hint = vertex_hint_and_point.vh;
+      Weighted_point& hint_point_mem = vertex_hint_and_point.wpt;
       Vertex_validity_checker<typename RT::Triangulation_data_structure> vertex_validity_check;
 
       for(size_t i_point = r.begin() ; i_point != r.end() ; ++i_point)
@@ -1431,14 +1452,12 @@ protected:
           // the hint.
           if(!vertex_validity_check(hint, m_rt.tds()))
           {
-            hint = m_rt.finite_vertices_begin();
+            vertex_hint_and_point = m_rt.finite_vertices_begin();
             continue;
           }
 
           // We need to make sure that while are locking the position P1 := hint->point(), 'hint'
           // does not get its position changed to P2 != P1.
-          const Weighted_point hint_point_mem = hint->point();
-
           if(m_rt.try_lock_point(hint_point_mem) && m_rt.try_lock_point(p))
           {
             // Make sure that the hint is still valid (so that we can safely take hint->cell()) and
@@ -1447,7 +1466,7 @@ protected:
             if(!vertex_validity_check(hint, m_rt.tds()) ||
                hint->point() != hint_point_mem)
             {
-              hint = m_rt.finite_vertices_begin();
+              vertex_hint_and_point = m_rt.finite_vertices_begin();
               m_rt.unlock_all_elements();
               continue;
             }
@@ -1463,7 +1482,7 @@ protected:
 
             if(could_lock_zone)
             {
-              hint = (v == Vertex_handle() ? c->vertex(0) : v);
+              vertex_hint_and_point = (v == Vertex_handle() ? c->vertex(0) : v);
               m_rt.unlock_all_elements();
               success = true;
 #ifdef CGAL_CONCURRENT_TRIANGULATION_3_PROFILING
@@ -1502,7 +1521,7 @@ protected:
     const std::vector<Weighted_point>& m_points;
     const std::vector<Info>& m_infos;
     const std::vector<std::size_t>& m_indices;
-    tbb::enumerable_thread_specific<Vertex_handle>& m_tls_hint;
+    Hint& m_tls_hint;
 
   public:
     // Constructor
@@ -1510,7 +1529,7 @@ protected:
                            const std::vector<Weighted_point>& points,
                            const std::vector<Info>& infos,
                            const std::vector<std::size_t>& indices,
-                           tbb::enumerable_thread_specific<Vertex_handle>& tls_hint)
+                           Hint& tls_hint)
       : m_rt(rt), m_points(points), m_infos(infos), m_indices(indices),
         m_tls_hint(tls_hint)
     {}
@@ -1523,7 +1542,9 @@ protected:
             "early withdrawals / late withdrawals / successes [Delaunay_tri_3::insert]");
 #endif
 
-      Vertex_handle& hint = m_tls_hint.local();
+      auto& vertex_hint_and_point = m_tls_hint.local();
+      Vertex_handle& hint = vertex_hint_and_point.vh;
+      Weighted_point& hint_point_mem = vertex_hint_and_point.wpt;
       Vertex_validity_checker<typename RT::Triangulation_data_structure> vertex_validity_check;
 
       for(size_t i_idx = r.begin() ; i_idx != r.end() ; ++i_idx)
@@ -1538,14 +1559,12 @@ protected:
           // the hint.
           if(!vertex_validity_check(hint, m_rt.tds()))
           {
-            hint = m_rt.finite_vertices_begin();
+            vertex_hint_and_point = m_rt.finite_vertices_begin();
             continue;
           }
 
           // We need to make sure that while are locking the position P1 := hint->point(), 'hint'
           // does not get its position changed to P2 != P1.
-          const Weighted_point hint_point_mem = hint->point();
-
           if(m_rt.try_lock_point(hint_point_mem) && m_rt.try_lock_point(p))
           {
             // Make sure that the hint is still valid (so that we can safely take hint->cell()) and
@@ -1554,7 +1573,7 @@ protected:
             if(!vertex_validity_check(hint, m_rt.tds()) ||
                hint->point() != hint_point_mem)
             {
-              hint = m_rt.finite_vertices_begin();
+              vertex_hint_and_point = m_rt.finite_vertices_begin();
               m_rt.unlock_all_elements();
               continue;
             }
@@ -1572,12 +1591,12 @@ protected:
             {
               if(v == Vertex_handle())
               {
-                hint = c->vertex(0);
+                vertex_hint_and_point = c->vertex(0);
               }
               else
               {
                 v->info() = m_infos[i_point];
-                hint = v;
+                vertex_hint_and_point = v;
               }
 
               m_rt.unlock_all_elements();