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Remove directory Linear_cell_complex/

This commit is contained in:
Guillaume Damiand 2011-10-14 17:51:15 +00:00
parent 025a6db5e6
commit b68c7da28b
129 changed files with 0 additions and 15548 deletions
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@ -1931,134 +1931,6 @@ Largest_empty_rect_2/doc_tex/Inscribed_areas_ref/ler-detail.png -text
Largest_empty_rect_2/doc_tex/Inscribed_areas_ref/ler.png -text Largest_empty_rect_2/doc_tex/Inscribed_areas_ref/ler.png -text
Largest_empty_rect_2/test/Largest_empty_rect_2/cgal_test eol=lf Largest_empty_rect_2/test/Largest_empty_rect_2/cgal_test eol=lf
Largest_empty_rect_2/test/Largest_empty_rect_2/cgal_test_with_cmake eol=lf Largest_empty_rect_2/test/Largest_empty_rect_2/cgal_test_with_cmake eol=lf
Linear_cell_complex/demo/Linear_cell_complex/CMakeLists.txt -text
Linear_cell_complex/demo/Linear_cell_complex/Combinatorial_map_3.cpp -text
Linear_cell_complex/demo/Linear_cell_complex/Combinatorial_map_3.qrc -text
Linear_cell_complex/demo/Linear_cell_complex/CreateMesh.ui -text
Linear_cell_complex/demo/Linear_cell_complex/MainWindow.cpp -text
Linear_cell_complex/demo/Linear_cell_complex/MainWindow.h -text
Linear_cell_complex/demo/Linear_cell_complex/MainWindow.ui -text
Linear_cell_complex/demo/Linear_cell_complex/Viewer.cpp -text
Linear_cell_complex/demo/Linear_cell_complex/Viewer.h -text
Linear_cell_complex/demo/Linear_cell_complex/about_Combinatorial_map_3.html -text
Linear_cell_complex/demo/Linear_cell_complex/map_3_subdivision.cpp -text
Linear_cell_complex/demo/Linear_cell_complex/typedefs.h -text
Linear_cell_complex/doc_tex/Linear_cell_complex/Linear_cell_complex.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex/PkgDescription.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/4Dobject.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/Diagramme_class.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/basic-example3D.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/creations.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/exemple-carte-with_point_3d-sew.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/exemple-carte-with_point_3d-sew2.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/insert-edge.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/insert-vertex.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/intuitif-example-lcc-object.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/intuitif-example-lcc-zoom.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/intuitif-example-lcc-zoom2.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/intuitif-example-lcc.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/object2d.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/4Dobject.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/Diagramme_class.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/basic-example3D.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/creations.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/exemple-carte-with_point_3d-sew.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/exemple-carte-with_point_3d-sew2.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/insert-edge.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/insert-vertex.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/intuitif-example-lcc-object.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/intuitif-example-lcc-zoom.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/intuitif-example-lcc-zoom2.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/intuitif-example-lcc.pdf -text svneol=unset#unset
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/object2d.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/plane-graph.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/pdf/triangulation.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/plane-graph.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/4Dobject.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/Diagramme_class.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/basic-example3D.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/creations.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/exemple-carte-with_point_3d-sew.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/exemple-carte-with_point_3d-sew2.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/insert-edge.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/insert-vertex.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/intuitif-example-lcc-object.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/intuitif-example-lcc-zoom.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/intuitif-example-lcc-zoom2.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/intuitif-example-lcc.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/object2d.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/plane-graph.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/png/triangulation.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/triangulation.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex/main.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/CellAttributeWithPoint.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/Cell_attribute_with_point.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/LinearCellComplexItems.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/LinearCellComplexTraits.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/Linear_cell_complex.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/Linear_cell_complex_constructors.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/Linear_cell_complex_min_items.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/Linear_cell_complex_operations.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/Linear_cell_complex_traits.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/import_graph.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/make_cuboid.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/make_hexahedron.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/make_quadrilateral.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/make_rectangle.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/make_segment.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/make_tetrahedron.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/make_triangle.fig -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/import_graph.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/make_cuboid.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/make_hexahedron.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/make_quadrilateral.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/make_rectangle.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/make_segment.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/make_tetrahedron.pdf -text svneol=unset#unset
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/pdf/make_triangle.pdf -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/import_graph.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/make_cuboid.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/make_hexahedron.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/make_quadrilateral.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/make_rectangle.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/make_segment.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/make_tetrahedron.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/fig/png/make_triangle.png -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/intro.tex -text
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/main.tex -text
Linear_cell_complex/dont_submit -text
Linear_cell_complex/examples/Linear_cell_complex/CMakeLists.txt -text
Linear_cell_complex/examples/Linear_cell_complex/data/aircraft.off -text
Linear_cell_complex/examples/Linear_cell_complex/data/graph1.off -text
Linear_cell_complex/examples/Linear_cell_complex/data/graph2.off -text
Linear_cell_complex/examples/Linear_cell_complex/data/points -text
Linear_cell_complex/examples/Linear_cell_complex/data/small_points -text
Linear_cell_complex/examples/Linear_cell_complex/data/small_points2 -text
Linear_cell_complex/examples/Linear_cell_complex/exemple_incremental_builder.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/linear_cell_complex_3.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/linear_cell_complex_3_with_colored_vertices.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/linear_cell_complex_4.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/map_3_iterators.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/map_3_subdivision.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/plane_graph_to_map_2.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/polyhedron_clear.cpp -text
Linear_cell_complex/examples/Linear_cell_complex/res-valid.txt -text
Linear_cell_complex/examples/Linear_cell_complex/test-all -text
Linear_cell_complex/examples/Linear_cell_complex/voronoi_3.cpp -text
Linear_cell_complex/include/CGAL/Cell_attribute_with_point.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_constructors.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_incremental_builder.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_min_items.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_operations.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_traits.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_viewers/CMakeMapViewerQt.inc -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_viewers/CMakeMapViewerVtk.inc -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_viewers/linear_cell_complex_viewer_qt_3.h -text
Linear_cell_complex/include/CGAL/Linear_cell_complex_viewers/linear_cell_complex_viewer_vtk_3.h -text
Linear_cell_complex/package_info/Linear_cell_complex/description.txt -text
Linear_cell_complex/package_info/Linear_cell_complex/long_description.txt -text
Linear_cell_complex/package_info/Linear_cell_complex/maintainer -text
MacOSX/auxiliary/cgal_app.icns -text MacOSX/auxiliary/cgal_app.icns -text
Maintenance/MacOSX_Installer/CGAL-3.2-absolute.pmproj -text Maintenance/MacOSX_Installer/CGAL-3.2-absolute.pmproj -text
Maintenance/MacOSX_Installer/CGAL-3.2.pmproj -text Maintenance/MacOSX_Installer/CGAL-3.2.pmproj -text

60
Linear_cell_complex/demo/Linear_cell_complex/CMakeLists.txt
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@ -1,60 +0,0 @@
# Created by the script cgal_create_cmake_script
# This is the CMake script for compiling a CGAL application.
# cmake ../ -DCMAKE_BUILD_TYPE=Debug
project (Combinatorial_map_3_demo)
cmake_minimum_required(VERSION 2.4.5)
SET(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -Wall -W")
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++0x")
set(CMAKE_ALLOW_LOOSE_LOOP_CONSTRUCTS true)
if ( COMMAND cmake_policy )
cmake_policy( SET CMP0003 NEW )
endif()
find_package(CGAL COMPONENTS Qt4)
include(${CGAL_USE_FILE})
set( QT_USE_QTXML TRUE )
set( QT_USE_QTMAIN TRUE )
set( QT_USE_QTSCRIPT TRUE )
set( QT_USE_QTOPENGL TRUE )
find_package(Qt4)
find_package(OpenGL)
find_package(QGLViewer)
if ( NOT (CGAL_FOUND AND CGAL_Qt4_FOUND AND QT4_FOUND AND OPENGL_FOUND AND QGLVIEWER_FOUND) )
MESSAGE(FATAL_ERROR "NOTICE: This demo requires CGAL, QGLViewer, OpenGL and Qt4, and will not be compiled.")
endif ( NOT (CGAL_FOUND AND CGAL_Qt4_FOUND AND QT4_FOUND AND OPENGL_FOUND AND QGLVIEWER_FOUND) )
include(${QT_USE_FILE})
include_directories(${QGLVIEWER_INCLUDE_DIR})
include_directories(BEFORE . ../../include/)
include_directories(BEFORE . ../../../Combinatorial_map/include/)
# ui file, created wih Qt Designer
qt4_wrap_ui( uis MainWindow.ui CreateMesh.ui)
# qrc files (resources files, that contain icons, at least)
qt4_add_resources ( RESOURCE_FILES ./Combinatorial_map_3.qrc )
qt4_automoc( MainWindow.cpp Viewer.cpp)
add_executable(Combinatorial_map_3
Combinatorial_map_3.cpp MainWindow.cpp
Viewer.cpp map_3_subdivision.cpp
${uis} ${RESOURCE_FILES} )
add_to_cached_list(CGAL_EXECUTABLE_TARGETS Combinatorial_map_3)
target_link_libraries(Combinatorial_map_3 ${CGAL_LIBRARIES}
${CGAL_3RD_PARTY_LIBRARIES})
target_link_libraries(Combinatorial_map_3 ${QT_LIBRARIES}
${QGLVIEWER_LIBRARIES} )
target_link_libraries(Combinatorial_map_3 ${OPENGL_gl_LIBRARY}
${OPENGL_glu_LIBRARY} )

42
Linear_cell_complex/demo/Linear_cell_complex/Combinatorial_map_3.cpp
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@ -1,42 +0,0 @@
// Copyright (c) 2010 CNRS, LIRIS, http://liris.cnrs.fr/, All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://gdamiand@scm.gforge.inria.fr/svn/cgal/branches/features/Linear_cell_complex-gdamiand/Linear_cell_complex/demo/Linear_cell_complex/Combinatorial_map_3.cpp $
// $Id: Combinatorial_map_3.cpp 56872 2010-06-18 12:57:31Z gdamiand $
//
// Author(s) : Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
//
#include "MainWindow.h"
#include "typedefs.h"
#include <QApplication>
int main(int argc, char** argv)
{
std::cout<<"Size of dart: "<<sizeof(Map::Dart)<<std::endl;
QApplication application(argc,argv);
application.setOrganizationDomain("geometryfactory.com");
application.setOrganizationName("GeometryFactory");
application.setApplicationName("3D Combinatorial Map");
// Import resources from libCGALQt4.
// See http://doc.trolltech.com/4.4/qdir.html#Q_INIT_RESOURCE
Q_INIT_RESOURCE(File);
Q_INIT_RESOURCE(Combinatorial_map_3);
Q_INIT_RESOURCE(CGAL);
MainWindow mw;
mw.show();
return application.exec();
}

5
Linear_cell_complex/demo/Linear_cell_complex/Combinatorial_map_3.qrc
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@ -1,5 +0,0 @@
<RCC>
<qresource prefix="/cgal/help" >
<file>about_Combinatorial_map_3.html</file>
</qresource>
</RCC>

149
Linear_cell_complex/demo/Linear_cell_complex/CreateMesh.ui
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<?xml version="1.0" encoding="UTF-8"?>
<ui version="4.0">
<class>createMesh</class>
<widget class="QDialog" name="createMesh">
<property name="geometry">
<rect>
<x>0</x>
<y>0</y>
<width>220</width>
<height>65</height>
</rect>
</property>
<property name="sizePolicy">
<sizepolicy hsizetype="Fixed" vsizetype="Fixed">
<horstretch>0</horstretch>
<verstretch>0</verstretch>
</sizepolicy>
</property>
<property name="minimumSize">
<size>
<width>220</width>
<height>65</height>
</size>
</property>
<property name="maximumSize">
<size>
<width>220</width>
<height>65</height>
</size>
</property>
<property name="windowTitle">
<string>Creare Mesh</string>
</property>
<property name="locale">
<locale language="English" country="UnitedStates"/>
</property>
<widget class="QDialogButtonBox" name="buttonBox">
<property name="geometry">
<rect>
<x>20</x>
<y>30</y>
<width>171</width>
<height>32</height>
</rect>
</property>
<property name="orientation">
<enum>Qt::Horizontal</enum>
</property>
<property name="standardButtons">
<set>QDialogButtonBox::Cancel|QDialogButtonBox::Ok</set>
</property>
<property name="centerButtons">
<bool>true</bool>
</property>
</widget>
<widget class="QWidget" name="horizontalLayoutWidget_2">
<property name="geometry">
<rect>
<x>0</x>
<y>0</y>
<width>221</width>
<height>31</height>
</rect>
</property>
<layout class="QHBoxLayout" name="horizontalLayout_2">
<item>
<widget class="QLabel" name="label_3">
<property name="text">
<string>X</string>
</property>
</widget>
</item>
<item>
<widget class="QSpinBox" name="xvalue">
<property name="minimum">
<number>1</number>
</property>
</widget>
</item>
<item>
<widget class="QLabel" name="label_4">
<property name="text">
<string>Y</string>
</property>
</widget>
</item>
<item>
<widget class="QSpinBox" name="yvalue">
<property name="minimum">
<number>1</number>
</property>
</widget>
</item>
<item>
<widget class="QLabel" name="label_2">
<property name="text">
<string>Z</string>
</property>
</widget>
</item>
<item>
<widget class="QSpinBox" name="zvalue">
<property name="minimum">
<number>1</number>
</property>
</widget>
</item>
</layout>
</widget>
</widget>
<tabstops>
<tabstop>buttonBox</tabstop>
</tabstops>
<resources/>
<connections>
<connection>
<sender>buttonBox</sender>
<signal>accepted()</signal>
<receiver>createMesh</receiver>
<slot>accept()</slot>
<hints>
<hint type="sourcelabel">
<x>248</x>
<y>254</y>
</hint>
<hint type="destinationlabel">
<x>157</x>
<y>274</y>
</hint>
</hints>
</connection>
<connection>
<sender>buttonBox</sender>
<signal>rejected()</signal>
<receiver>createMesh</receiver>
<slot>reject()</slot>
<hints>
<hint type="sourcelabel">
<x>316</x>
<y>260</y>
</hint>
<hint type="destinationlabel">
<x>286</x>
<y>274</y>
</hint>
</hints>
</connection>
</connections>
</ui>

481
Linear_cell_complex/demo/Linear_cell_complex/MainWindow.cpp
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@ -1,481 +0,0 @@
// Copyright (c) 2010 CNRS, LIRIS, http://liris.cnrs.fr/, All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://gdamiand@scm.gforge.inria.fr/svn/cgal/branches/features/Linear_cell_complex-gdamiand/Linear_cell_complex/demo/Linear_cell_complex/MainWindow.cpp $
// $Id: MainWindow.cpp 65446 2011-09-20 16:55:42Z gdamiand $
//
// Author(s) : Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
//
#include "MainWindow.h"
#include <CGAL/Delaunay_triangulation_3.h>
// Function defined in map_3_subivision.cpp
void subdivide_map_3 (Map & m);
#define DELAY_STATUSMSG 1500
MainWindow::MainWindow (QWidget * parent):CGAL::Qt::DemosMainWindow (parent),
nbcube (0),
tdsdart(NULL),
dialogmesh(this)
{
setupUi (this);
scene.map = new Map;
this->viewer->setScene (&scene);
connectActions ();
this->addAboutDemo (":/cgal/help/about_Combinatorial_map_3.html");
this->addAboutCGAL ();
this->addRecentFiles (this->menuFile, this->actionQuit);
connect (this, SIGNAL (openRecentFile (QString)),
this, SLOT (load_off (QString)));
statusMessage = new QLabel ("Darts: 0, Vertices: 0 (Points: 0), Edges: 0, Facets: 0,"
" Volume: 0 (Vol color: 0), Connected components: 0");
statusBar ()->addWidget (statusMessage);
}
void MainWindow::connectActions ()
{
QObject::connect (this->actionImportOFF, SIGNAL (triggered ()),
this, SLOT (import_off ()));
QObject::connect (this->actionAddOFF, SIGNAL (triggered ()),
this, SLOT (add_off ()));
QObject::connect (this->actionImport3DTDS, SIGNAL (triggered ()),
this, SLOT (import_3DTDS ()));
QObject::connect (this->actionQuit, SIGNAL (triggered ()),
qApp, SLOT (quit ()));
QObject::connect (this->actionSubdivide, SIGNAL (triggered ()),
this, SLOT (subdivide ()));
QObject::connect (this->actionCreate_cube, SIGNAL (triggered ()),
this, SLOT (create_cube ()));
QObject::connect (this->actionCreate_mesh, SIGNAL (triggered ()),
this, SLOT (create_mesh ()));
QObject::connect (this->actionCreate3Cubes, SIGNAL (triggered ()),
this, SLOT (create_3cubes ()));
QObject::connect (this->actionCreate2Volumes, SIGNAL (triggered ()),
this, SLOT (create_2volumes ()));
QObject::connect (this, SIGNAL (sceneChanged ()),
this, SLOT (onSceneChanged ()));
QObject::connect (this->actionClear, SIGNAL (triggered ()),
this, SLOT (clear ()));
QObject::connect (this->actionDual_3, SIGNAL (triggered ()),
this, SLOT (dual_3 ()));
QObject::connect (this->actionClose_volume, SIGNAL (triggered ()),
this, SLOT (close_volume ()));
QObject::connect (this->actionRemove_current_volume, SIGNAL (triggered ()),
this, SLOT (remove_current_volume ()));
QObject::connect (this->actionSew3_same_facets, SIGNAL (triggered ()),
this, SLOT (sew3_same_facets ()));
QObject::connect (this->actionUnsew3_all, SIGNAL (triggered ()),
this, SLOT (unsew3_all ()));
QObject::connect (this->actionTriangulate_all_facets, SIGNAL (triggered ()),
this, SLOT (triangulate_all_facets ()));
}
void MainWindow::onSceneChanged ()
{
int mark = scene.map->get_new_mark ();
scene.map->negate_mark (mark);
std::vector<unsigned int> cells;
cells.push_back(0);
cells.push_back(1);
cells.push_back(2);
cells.push_back(3);
cells.push_back(4);
std::vector<unsigned int> res = scene.map->count_cells (cells);
std::ostringstream os;
os << "Darts: " << scene.map->number_of_darts ()
<< ", Vertices:" << res[0]
<<", (Points:"<<scene.map->number_of_attributes<0>()<<")"
<< ", Edges:" << res[1]
<< ", Facets:" << res[2]
<< ", Volumes:" << res[3]
#ifdef COLOR_VOLUME
<<", (Vol color:"<<scene.map->number_of_attributes<3>()<<")"
#endif
<< ", Connected components:" << res[4]
<<", Valid:"<<(scene.map->is_valid()?"true":"FALSE");
scene.map->negate_mark (mark);
scene.map->free_mark (mark);
viewer->sceneChanged ();
statusMessage->setText (os.str().c_str ());
}
void MainWindow::import_off ()
{
QString fileName = QFileDialog::getOpenFileName (this,
tr ("Import OFF"),
"./off",
tr ("off files (*.off)"));
if (!fileName.isEmpty ())
{
load_off (fileName, true);
}
}
void MainWindow::import_3DTDS ()
{
QString fileName = QFileDialog::getOpenFileName (this,
tr ("Import 3DTDS"),
".",
tr ("Data file (*)"));
if (!fileName.isEmpty ())
{
load_3DTDS (fileName, true);
statusBar ()->showMessage (QString ("Import 3DTDS file") + fileName,
DELAY_STATUSMSG);
}
}
void MainWindow::add_off ()
{
QString fileName = QFileDialog::getOpenFileName (this,
tr ("Add OFF"),
"./off",
tr ("off files (*.off)"));
if (!fileName.isEmpty ())
{
load_off (fileName, false);
}
}
void MainWindow::load_off (const QString & fileName, bool clear)
{
QApplication::setOverrideCursor (Qt::WaitCursor);
if (clear)
scene.map->clear ();
std::ifstream ifs (qPrintable (fileName));
CGAL::import_from_polyhedron_flux < Map > (*scene.map, ifs);
initAllVolumesRandomColor();
this->addToRecentFiles (fileName);
QApplication::restoreOverrideCursor ();
if (clear)
statusBar ()->showMessage (QString ("Load off file") + fileName,
DELAY_STATUSMSG);
else
statusBar ()->showMessage (QString ("Add off file") + fileName,
DELAY_STATUSMSG);
tdsdart = NULL;
emit (sceneChanged ());
}
void MainWindow::initVolumeRandomColor(Dart_handle adart)
{
#ifdef COLOR_VOLUME
scene.map->set_attribute<3>(adart,scene.map->create_attribute<3>(CGAL::Color(random.get_int(0,256),
random.get_int(0,256),
random.get_int(0,256))));
#endif
}
void MainWindow::initAllVolumesRandomColor()
{
#ifdef COLOR_VOLUME
for (Map::One_dart_per_cell_range<3>::iterator
it(scene.map->one_dart_per_cell<3>().begin());
it.cont(); ++it)
if ( it->attribute<3>()==NULL ) initVolumeRandomColor(it);
#endif
}
void MainWindow::load_3DTDS (const QString & fileName, bool clear)
{
QApplication::setOverrideCursor (Qt::WaitCursor);
if (clear)
scene.map->clear ();
typedef CGAL::Delaunay_triangulation_3 < Map::Traits > Triangulation;
Triangulation T;
std::ifstream ifs (qPrintable (fileName));
std::istream_iterator < Point_3 > begin (ifs), end;
T.insert (begin, end);
tdsdart = CGAL::import_from_triangulation_3 < Map, Triangulation > (*scene.map, T);
initAllVolumesRandomColor();
QApplication::restoreOverrideCursor ();
emit (sceneChanged ());
}
Dart_handle MainWindow::make_iso_cuboid(const Point_3 basepoint, Map::FT lg)
{
return make_hexahedron(*scene.map,
basepoint,
Map::Construct_translated_point()(basepoint,Map::Vector(lg,0,0)),
Map::Construct_translated_point()(basepoint,Map::Vector(lg,lg,0)),
Map::Construct_translated_point()(basepoint,Map::Vector(0,lg,0)),
Map::Construct_translated_point()(basepoint,Map::Vector(0,lg,lg)),
Map::Construct_translated_point()(basepoint,Map::Vector(0,0,lg)),
Map::Construct_translated_point()(basepoint,Map::Vector(lg,0,lg)),
Map::Construct_translated_point()(basepoint,Map::Vector(lg,lg,lg)));
}
void MainWindow::create_cube ()
{
Point_3 basepoint(nbcube%5, (nbcube/5)%5, nbcube/25);
Dart_handle d = make_iso_cuboid(basepoint, 1);
// scene.map->display_characteristics(std::cout)<<std::endl;
initVolumeRandomColor(d);
++nbcube;
tdsdart = NULL;
statusBar ()->showMessage (QString ("Cube created"),DELAY_STATUSMSG);
emit (sceneChanged ());
}
void MainWindow::create_3cubes ()
{
Dart_handle d1 = make_iso_cuboid (Point_3 (nbcube, nbcube, nbcube),1);
Dart_handle d2 = make_iso_cuboid (Point_3 (nbcube + 1, nbcube, nbcube),1);
Dart_handle d3 = make_iso_cuboid (Point_3 (nbcube, nbcube + 1, nbcube), 1);
initVolumeRandomColor(d1);
initVolumeRandomColor(d2);
initVolumeRandomColor(d3);
scene.map->sew<3> (d1->beta(1)->beta(1)->beta(2), d2->beta(2));
scene.map->sew<3> (d1->beta(2)->beta(1)->beta(1)->beta(2), d3);
++nbcube;
tdsdart = NULL;
statusBar ()->showMessage (QString ("3 cubes were created"),
DELAY_STATUSMSG);
emit (sceneChanged ());
}
void MainWindow::create_2volumes ()
{
Dart_handle d1 = make_iso_cuboid (Point_3 (nbcube, nbcube, nbcube),1);
Dart_handle d2 = make_iso_cuboid (Point_3 (nbcube + 1, nbcube, nbcube), 1);
Dart_handle d3 = make_iso_cuboid (Point_3 (nbcube, nbcube + 1, nbcube), 1);
Dart_handle d4 = make_iso_cuboid (Point_3 (nbcube + 1, nbcube + 1, nbcube), 1);
initVolumeRandomColor(d1);
initVolumeRandomColor(d2);
initVolumeRandomColor(d3);
initVolumeRandomColor(d4);
scene.map->sew<3>(d1->beta(1)->beta(1)->beta(2), d2->beta (2));
scene.map->sew<3>(d1->beta(2)->beta(1)->beta(1)->beta (2), d3);
scene.map->sew<3>(d3->beta(1)->beta(1)->beta(2), d4->beta (2));
scene.map->sew<3>(d2->beta(2)->beta(1)->beta(1)->beta (2), d4);
/* scene.map->display_characteristics(std::cout)
<<" is_valid="<<scene.map->is_valid()<<std::endl;
std::cout<<"AVANT"<<std::endl;
scene.map->display_darts(std::cout)<<std::endl;
std::cout<<" is_valid="<<scene.map->is_valid()<<std::endl;*/
CGAL::remove_cell<Map,2>(*scene.map, d3);
CGAL::remove_cell<Map,2>(*scene.map, d2->beta (2));
/* std::cout<<"APRES"<<std::endl;
scene.map->display_darts(std::cout)<<std::endl;
std::cout<<" is_valid="<<scene.map->is_valid()<<std::endl;
scene.map->display_characteristics(std::cout);*/
tdsdart = NULL;
++nbcube;
statusBar ()->showMessage (QString ("2 volumes were created"),
DELAY_STATUSMSG);
emit (sceneChanged ());
}
void MainWindow::create_mesh ()
{
if ( dialogmesh.exec()==QDialog::Accepted )
{
for (int x=0; x<dialogmesh.getX(); ++x)
for (int y=0; y<dialogmesh.getY(); ++y)
for (int z=0; z<dialogmesh.getZ(); ++z)
{
Dart_handle d = make_iso_cuboid (Point_3 (x+nbcube, y+nbcube, z+nbcube), 1);
initVolumeRandomColor(d);
}
++nbcube;
tdsdart = NULL;
statusBar ()->showMessage (QString ("mesh created"),DELAY_STATUSMSG);
emit (sceneChanged ());
}
}
void MainWindow::subdivide ()
{
subdivide_map_3 (*(scene.map));
tdsdart = NULL;
emit (sceneChanged ());
statusBar ()->showMessage (QString ("Objects were subdivided"),
DELAY_STATUSMSG);
}
void MainWindow::clear ()
{
scene.map->clear ();
tdsdart = NULL;
statusBar ()->showMessage (QString ("Scene was cleared"), DELAY_STATUSMSG);
emit (sceneChanged ());
}
void MainWindow::dual_3 ()
{
if ( !scene.map->is_without_boundary(3) )
{
statusBar()->showMessage (QString ("Dual impossible: the map has some 3-boundary"),
DELAY_STATUSMSG);
return;
}
Map* dualmap = new Map;
Dart_handle infinitevolume = CGAL::dual<Map>(*scene.map,*dualmap,tdsdart);
if ( tdsdart!=NULL )
CGAL::remove_cell<Map,3>(*dualmap,infinitevolume);
delete scene.map;
scene.map = dualmap;
this->viewer->setScene (&scene);
initAllVolumesRandomColor();
statusBar ()->showMessage (QString ("Dual_3 computed"), DELAY_STATUSMSG);
emit (sceneChanged ());
}
void MainWindow::close_volume()
{
tdsdart = NULL;
if ( scene.map->close(3) > 0 )
{
initAllVolumesRandomColor();
statusBar ()->showMessage (QString ("Volume are closed"), DELAY_STATUSMSG);
emit (sceneChanged ());
}
else
statusBar ()->showMessage (QString ("Map already 3-closed"), DELAY_STATUSMSG);
}
void MainWindow::sew3_same_facets()
{
tdsdart = NULL;
// timer.reset();
// timer.start();
if ( scene.map->sew3_same_facets() > 0 )
{
statusBar()->showMessage (QString ("Same facets are 3-sewn"), DELAY_STATUSMSG);
emit (sceneChanged ());
}
else
statusBar()->showMessage (QString ("No facets 3-sewn"), DELAY_STATUSMSG);
// timer.stop();
// std::cout<<"sew3_same_facets in "<<timer.time()<<" seconds."<<std::endl;
}
void MainWindow::unsew3_all()
{
tdsdart = NULL;
unsigned int nb=0;
for (Map::Dart_range::iterator it=scene.map->darts().begin();
it!=scene.map->darts().end(); ++it)
{
if ( !it->is_free(3) )
{ scene.map->unsew<3>(it); ++nb; }
}
if ( nb > 0 )
{
statusBar()->showMessage (QString ("All darts are 3-unsewn"), DELAY_STATUSMSG);
emit (sceneChanged ());
}
else
statusBar()->showMessage (QString ("No dart 3-unsewn"), DELAY_STATUSMSG);
}
void MainWindow::remove_current_volume()
{
if ( this->viewer->getCurrentDart()!=scene.map->darts().end() )
{
CGAL::remove_cell<Map,3>(*scene.map,this->viewer->getCurrentDart());
emit (sceneChanged ());
statusBar()->showMessage (QString ("Current volume removed"), DELAY_STATUSMSG);
}
else
statusBar()->showMessage (QString ("No volume removed"), DELAY_STATUSMSG);
}
void MainWindow::triangulate_all_facets()
{
std::vector<Map::Dart_handle> v;
for (Map::One_dart_per_cell_range<2>::iterator
it(scene.map->one_dart_per_cell<2>().begin()); it.cont(); ++it)
{
v.push_back(it);
}
for (std::vector<Map::Dart_handle>::iterator itv(v.begin());
itv!=v.end(); ++itv)
CGAL::insert_center_cell_0_in_cell_2(*scene.map,*itv);
emit (sceneChanged ());
statusBar()->showMessage (QString ("All facets were triangulated"), DELAY_STATUSMSG);
}
#undef DELAY_STATUSMSG
#include "MainWindow.moc"

107
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@ -1,107 +0,0 @@
// Copyright (c) 2010 CNRS, LIRIS, http://liris.cnrs.fr/, All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://gdamiand@scm.gforge.inria.fr/svn/cgal/branches/features/Linear_cell_complex-gdamiand/Linear_cell_complex/demo/Linear_cell_complex/MainWindow.h $
// $Id: MainWindow.h 65446 2011-09-20 16:55:42Z gdamiand $
//
// Author(s) : Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
//
#ifndef MAIN_WINDOW_H
#define MAIN_WINDOW_H
#include "typedefs.h"
#include "ui_MainWindow.h"
#include "ui_CreateMesh.h"
#include <CGAL/Qt/DemosMainWindow.h>
#include <CGAL/Random.h>
#include <QDialog>
#include <QSlider>
#include <QLabel>
#include <QFileDialog>
class QWidget;
class DialogMesh : public QDialog, private Ui::createMesh
{
Q_OBJECT
public:
DialogMesh(QWidget* parent)
{
setupUi (this);
}
int getX() { return xvalue->value(); }
int getY() { return yvalue->value(); }
int getZ() { return zvalue->value(); }
};
class MainWindow : public CGAL::Qt::DemosMainWindow, private Ui::MainWindow
{
Q_OBJECT
public:
MainWindow(QWidget* parent = 0);
void connectActions();
Scene scene;
Timer timer;
public slots:
void import_off();
void add_off();
void load_off(const QString& fileName, bool clear=true);
void import_3DTDS();
void load_3DTDS(const QString& fileName, bool clear=true);
void clear();
void create_cube();
void create_3cubes();
void create_2volumes();
void create_mesh();
void subdivide();
void dual_3();
void close_volume();
void remove_current_volume();
void sew3_same_facets();
void unsew3_all();
void triangulate_all_facets();
void onSceneChanged();
signals:
void sceneChanged();
protected:
void initVolumeRandomColor(Dart_handle adart);
void initAllVolumesRandomColor();
Dart_handle make_iso_cuboid(const Point_3 basepoint, Map::FT lg);
private:
unsigned int nbcube;
QLabel* statusMessage;
Dart_handle tdsdart;
DialogMesh dialogmesh;
CGAL::Random random;
};
#endif

175
Linear_cell_complex/demo/Linear_cell_complex/MainWindow.ui
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@ -1,175 +0,0 @@
<?xml version="1.0" encoding="UTF-8"?>
<ui version="4.0">
<class>MainWindow</class>
<widget class="QMainWindow" name="MainWindow">
<property name="geometry">
<rect>
<x>0</x>
<y>0</y>
<width>635</width>
<height>504</height>
</rect>
</property>
<property name="windowTitle">
<string>CGAL 3D Combinatorial Map</string>
</property>
<property name="windowIcon">
<iconset>
<normaloff>:/cgal/logos/cgal_icon</normaloff>:/cgal/logos/cgal_icon</iconset>
</property>
<widget class="QWidget" name="centralwidget">
<layout class="QVBoxLayout">
<item>
<layout class="QHBoxLayout"/>
</item>
<item>
<widget class="Viewer" name="viewer" native="true"/>
</item>
</layout>
</widget>
<widget class="QMenuBar" name="menubar">
<property name="geometry">
<rect>
<x>0</x>
<y>0</y>
<width>635</width>
<height>26</height>
</rect>
</property>
<widget class="QMenu" name="menuFile">
<property name="title">
<string>File</string>
</property>
<addaction name="actionImportOFF"/>
<addaction name="actionAddOFF"/>
<addaction name="separator"/>
<addaction name="actionImport3DTDS"/>
<addaction name="separator"/>
<addaction name="actionClear"/>
<addaction name="separator"/>
<addaction name="actionQuit"/>
</widget>
<widget class="QMenu" name="menuOperations">
<property name="title">
<string>Operations</string>
</property>
<addaction name="actionSubdivide"/>
<addaction name="actionDual_3"/>
<addaction name="actionClose_volume"/>
<addaction name="actionSew3_same_facets"/>
<addaction name="actionRemove_current_volume"/>
<addaction name="actionTriangulate_all_facets"/>
<addaction name="actionUnsew3_all"/>
</widget>
<widget class="QMenu" name="menuCreations">
<property name="title">
<string>Creations</string>
</property>
<addaction name="actionCreate_cube"/>
<addaction name="actionCreate3Cubes"/>
<addaction name="actionCreate2Volumes"/>
<addaction name="actionCreate_mesh"/>
</widget>
<addaction name="menuFile"/>
<addaction name="menuCreations"/>
<addaction name="menuOperations"/>
</widget>
<widget class="QStatusBar" name="statusbar"/>
<action name="actionImportOFF">
<property name="text">
<string>Import OFF</string>
</property>
</action>
<action name="actionAddOFF">
<property name="text">
<string>Add OFF</string>
</property>
</action>
<action name="actionQuit">
<property name="text">
<string>Quit</string>
</property>
</action>
<action name="actionSubdivide">
<property name="text">
<string>Subdivide</string>
</property>
</action>
<action name="actionCreate3Cubes">
<property name="text">
<string>Create 3 cubes</string>
</property>
</action>
<action name="actionImport3DTDS">
<property name="text">
<string>Import 3DTS</string>
</property>
</action>
<action name="actionDisplayInfo">
<property name="text">
<string>Display info</string>
</property>
</action>
<action name="actionClear">
<property name="text">
<string>Clear</string>
</property>
</action>
<action name="actionCreate2Volumes">
<property name="text">
<string>Create 2 volumes</string>
</property>
</action>
<action name="actionDual_3">
<property name="text">
<string>Dual_3</string>
</property>
</action>
<action name="actionClose_volume">
<property name="text">
<string>Close volume</string>
</property>
</action>
<action name="actionCreate_cube">
<property name="text">
<string>Create cube</string>
</property>
</action>
<action name="actionSew3_same_facets">
<property name="text">
<string>Sew3 same facets</string>
</property>
</action>
<action name="actionCreate_mesh">
<property name="text">
<string>Create mesh</string>
</property>
</action>
<action name="actionRemove_current_volume">
<property name="text">
<string>Remove current volume</string>
</property>
</action>
<action name="actionTriangulate_all_facets">
<property name="text">
<string>Triangulate all facets</string>
</property>
</action>
<action name="actionUnsew3_all">
<property name="text">
<string>Unsew3 all</string>
</property>
</action>
</widget>
<customwidgets>
<customwidget>
<class>Viewer</class>
<extends>QWidget</extends>
<header>Viewer.h</header>
</customwidget>
</customwidgets>
<resources>
<include location="Combinatorial_map_3.qrc"/>
</resources>
<connections/>
</ui>

548
Linear_cell_complex/demo/Linear_cell_complex/Viewer.cpp
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@ -1,548 +0,0 @@
// Copyright (c) 2010 CNRS, LIRIS, http://liris.cnrs.fr/, All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://gdamiand@scm.gforge.inria.fr/svn/cgal/branches/features/Linear_cell_complex-gdamiand/Linear_cell_complex/demo/Linear_cell_complex/Viewer.cpp $
// $Id: Viewer.cpp 62338 2011-04-08 20:17:16Z gdamiand $
//
// Author(s) : Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
//
#include "Viewer.h"
#include <vector>
#include <CGAL/bounding_box.h>
#include <QGLViewer/vec.h>
#include <CGAL/Linear_cell_complex_operations.h>
#define NB_FILLED_MODE 4
#define FILLED_ALL 0
#define FILLED_NON_FREE3 1
#define FILLED_VOL 2
#define FILLED_VOL_AND_V 3
template<class Map>
CGAL::Bbox_3 bbox(Map& amap)
{
CGAL::Bbox_3 bb;
typename Map::Vertex_attribute_range::iterator it = amap.vertex_attributes().begin(),
itend=amap.vertex_attributes().end();
if ( it!=itend )
{
bb = it->bbox();
for( ++it; it != itend; ++it)
{
bb = bb + it->bbox();
}
}
return bb;
}
void
Viewer::sceneChanged()
{
iteratorAllDarts = scene->map->darts().begin();
scene->map->unmark_all(markVolume);
CGAL::Bbox_3 bb = bbox(*scene->map);
this->camera()->setSceneBoundingBox(qglviewer::Vec(bb.xmin(),
bb.ymin(),
bb.zmin()),
qglviewer::Vec(bb.xmax(),
bb.ymax(),
bb.zmax()));
this->showEntireScene();
}
// Draw the facet given by ADart
void Viewer::drawFacet(Dart_handle ADart, int AMark)
{
Map &m = *scene->map;
::glBegin(GL_POLYGON);
#ifdef COLOR_VOLUME
assert( ADart->attribute<3>()!=NULL );
// double r = (double)ADart->attribute<3>()->info().r()/255.0;
double r = (double)ADart->attribute<3>()->info().r()/255.0;
double g = (double)ADart->attribute<3>()->info().g()/255.0;
double b = (double)ADart->attribute<3>()->info().b()/255.0;
if ( !ADart->is_free(3) )
{
r += (double)ADart->beta(3)->attribute<3>()->info().r()/255.0;
g += (double)ADart->beta(3)->attribute<3>()->info().g()/255.0;
b += (double)ADart->beta(3)->attribute<3>()->info().b()/255.0;
r /= 2; g /= 2; b /= 2;
}
::glColor3f(r,g,b);
#else
::glColor3f(.7,.7,.7);
#endif
// If Flat shading: 1 normal per polygon
if (flatShading)
{
Map::Vector n = CGAL::compute_normal_of_cell_2(m,ADart);
n = n/(CGAL::sqrt(n*n));
::glNormal3d(n.x(),n.y(),n.z());
}
for ( Map::Dart_of_orbit_range<1>::iterator it(m,ADart); it.cont(); ++it)
{
// If Gouraud shading: 1 normal per vertex
if (!flatShading)
{
Map::Vector n = CGAL::compute_normal_of_cell_0<Map>(m,it);
n = n/(CGAL::sqrt(n*n));
::glNormal3d(n.x(),n.y(),n.z());
}
Map::Point p = m.point(it);
::glVertex3d( p.x(),p.y(),p.z());
m.mark(it,AMark);
if ( !it->is_free(3) ) m.mark(it->beta(3),AMark);
}
::glEnd();
}
/// Draw all the edge of the facet given by ADart
void Viewer::drawEdges(Dart_handle ADart)
{
Map &m = *scene->map;
glBegin(GL_LINES);
glColor3f(.2,.2,.6);
for ( Map::Dart_of_orbit_range<1>::iterator it(m,ADart); it.cont(); ++it)
{
Map::Point p = m.point(it);
Dart_handle d2 = it->other_extremity();
if ( d2!=NULL )
{
Map::Point p2 = m.point(d2);
glVertex3f( p.x(),p.y(),p.z());
glVertex3f( p2.x(),p2.y(),p2.z());
}
}
glEnd();
}
void Viewer::draw_one_vol_filled_facets(Dart_handle adart,
int amarkvol, int amarkfacet)
{
Map &m = *scene->map;
for (CGAL::CMap_dart_iterator_basic_of_cell<Map,3> it(m,adart,amarkvol); it.cont(); ++it)
{
if ( !m.is_marked(it,amarkfacet) )
{
drawFacet(it,amarkfacet);
}
}
}
void Viewer::draw_current_vol_filled_facets(Dart_handle adart)
{
Map &m = *scene->map;
unsigned int facettreated = m.get_new_mark();
unsigned int volmark = m.get_new_mark();
draw_one_vol_filled_facets(adart,volmark,facettreated);
m.negate_mark(volmark);
for (CGAL::CMap_dart_iterator_basic_of_cell<Map,3> it(m,adart,volmark); it.cont(); ++it)
{
m.unmark(it,facettreated);
if ( !it->is_free(3) ) m.unmark(it->beta(3),facettreated);
}
m.negate_mark(volmark);
assert(m.is_whole_map_unmarked(volmark));
assert(m.is_whole_map_unmarked(facettreated));
m.free_mark(volmark);
m.free_mark(facettreated);
}
void Viewer::draw_current_vol_and_neighboors_filled_facets(Dart_handle adart)
{
Map &m = *scene->map;
unsigned int facettreated = m.get_new_mark();
unsigned int volmark = m.get_new_mark();
draw_one_vol_filled_facets(adart,volmark,facettreated);
CGAL::CMap_dart_iterator_of_cell<Map,3> it(m,adart);
for (; it.cont(); ++it)
{
if ( !it->is_free(3) && !m.is_marked(it->beta(3),volmark) )
{
draw_one_vol_filled_facets(it->beta(3),volmark,facettreated);
}
}
m.negate_mark(volmark);
for (it.rewind(); it.cont(); ++it)
{
m.mark(it,volmark);
if ( m.is_marked(it,facettreated))
CGAL::unmark_cell<Map,2>(m,it,facettreated);
if ( !it->is_free(3) && !m.is_marked(it->beta(3),volmark) )
{
CGAL::CMap_dart_iterator_basic_of_cell<Map,3> it2(m,it->beta(3),volmark);
for (; it2.cont(); ++it2)
{
if ( m.is_marked(it2,facettreated))
CGAL::unmark_cell<Map,2>(m,it2,facettreated);
}
}
}
m.negate_mark(volmark);
assert(m.is_whole_map_unmarked(volmark));
assert(m.is_whole_map_unmarked(facettreated));
m.free_mark(volmark);
m.free_mark(facettreated);
}
void Viewer::draw()
{
Map &m = *scene->map;
if ( m.is_empty() ) return;
unsigned int facettreated = m.get_new_mark();
unsigned int vertextreated = -1;
if ( vertices) vertextreated=m.get_new_mark();
for(Map::Dart_range::iterator it=m.darts().begin(); it!=m.darts().end(); ++it)
{
if ( !m.is_marked(it,facettreated) )
{
if ( modeFilledFacet==FILLED_ALL ||
modeFilledFacet==FILLED_NON_FREE3 && !it->is_free(3) )
drawFacet(it,facettreated);
else
CGAL::mark_cell<Map,2>(m,it,facettreated);
if ( edges) drawEdges(it);
}
if (vertices)
{
if ( !m.is_marked(it, vertextreated) )
{
Map::Point p = m.point(it);
glBegin(GL_POINTS);
glColor3f(.6,.2,.8);
glVertex3f( p.x(),p.y(),p.z());
glEnd();
CGAL::mark_cell<Map,0>(m,it,vertextreated);
}
}
}
assert(m.is_whole_map_marked(facettreated));
if ( vertices)
{
assert(m.is_whole_map_marked(vertextreated));
m.free_mark(vertextreated);
}
m.free_mark(facettreated);
if ( modeFilledFacet==FILLED_VOL)
draw_current_vol_filled_facets(iteratorAllDarts);
else if ( modeFilledFacet==FILLED_VOL_AND_V)
draw_current_vol_and_neighboors_filled_facets(iteratorAllDarts);
}
/*
void
Viewer::draw()
{
// define material
float ambient[] = { 0.25f,
0.20725f,
0.20725f,
0.922f };
float diffuse[] = { 1.0f,
0.829f,
0.829f,
0.922f };
float specular[] = { 0.296648f,
0.296648f,
0.296648f,
0.522f };
float emission[] = { 0.3f,
0.3f,
0.3f,
1.0f };
float shininess[] = { 11.264f };
// apply material
::glMaterialfv( GL_FRONT_AND_BACK, GL_AMBIENT, ambient);
::glMaterialfv( GL_FRONT_AND_BACK, GL_DIFFUSE, diffuse);
::glMaterialfv( GL_FRONT_AND_BACK, GL_SPECULAR, specular);
::glMaterialfv( GL_FRONT_AND_BACK, GL_SHININESS, shininess);
::glMaterialfv( GL_FRONT_AND_BACK, GL_EMISSION, emission);
// anti-aliasing (if the OpenGL driver permits that)
::glEnable(GL_LINE_SMOOTH);
::glLightModeli(GL_LIGHT_MODEL_TWO_SIDE, GL_TRUE);
// draw surface mesh
bool m_view_surface = true;
bool draw_triangles_edges = true;
if(m_view_surface)
{
::glEnable(GL_LIGHTING);
::glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
::glColor3f(0.2f, 0.2f, 1.f);
::glEnable(GL_POLYGON_OFFSET_FILL);
::glPolygonOffset(3.0f,-3.0f);
gl_draw_surface();
if(draw_triangles_edges)
{
::glDisable(GL_LIGHTING);
::glLineWidth(1.);
::glPolygonMode(GL_FRONT_AND_BACK,GL_LINE);
::glColor3ub(0,0,0);
::glDisable(GL_POLYGON_OFFSET_FILL);
gl_draw_surface();
}
}
}
void
Viewer::gl_draw_surface()
{
::glColor3f(1.0f, 0.0f, 0.0f);
::glDisable(GL_LIGHTING);
::glEnable(GL_POINT_SMOOTH);
::glPointSize(5);
::glBegin(GL_POINTS);
for(std::list<Point_3>::iterator it = scene->points.begin();
it != scene->points.end();
++it){
::glVertex3d(it->x(), it->y(), it->z());
}
::glEnd();
::glDisable(GL_POINT_SMOOTH);
::glEnable(GL_LIGHTING);
::glBegin(GL_TRIANGLES);
::glColor3f(0.2f, 1.0f, 0.2f);
std::list<Facett> facetts;
scene->alpha_shape.get_alpha_shape_facetts(std::back_inserter(facetts), Alpha_shape_3::REGULAR);
for(std::list<Facett>::iterator fit = facetts.begin();
fit != facetts.end();
++fit) {
const Cell_handle& ch = fit->first;
const int index = fit->second;
//const Vector_3& n = ch->normal(index); // must be unit vector
const Point_3& a = ch->vertex((index+1)&3)->point();
const Point_3& b = ch->vertex((index+2)&3)->point();
const Point_3& c = ch->vertex((index+3)&3)->point();
Vector_3 v = CGAL::unit_normal(a,b,c);
::glNormal3d(v.x(),v.y(),v.z());
::glVertex3d(a.x(),a.y(),a.z());
::glVertex3d(b.x(),b.y(),b.z());
::glVertex3d(c.x(),c.y(),c.z());
}
::glEnd();
}
*/
void Viewer::init()
{
// Restore previous viewer state.
restoreStateFromFile();
// Define 'Control+Q' as the new exit shortcut (default was 'Escape')
setShortcut(EXIT_VIEWER, Qt::CTRL+Qt::Key_Q);
// Add custom key description (see keyPressEvent).
setKeyDescription(Qt::Key_W, "Toggles wire frame display");
setKeyDescription(Qt::Key_F, "Toggles flat shading display");
setKeyDescription(Qt::Key_E, "Toggles edges display");
setKeyDescription(Qt::Key_V, "Toggles vertices display");
setKeyDescription(Qt::Key_Z, "Next mode filled facet");
setKeyDescription(Qt::Key_R, "Select next volume, used for filled facet");
// Light default parameters
::glLineWidth(1.4f);
::glPointSize(4.f);
::glEnable(GL_POLYGON_OFFSET_FILL);
::glPolygonOffset(1.0f,1.0f);
::glClearColor(1.0f,1.0f,1.0f,0.0f);
::glPolygonMode(GL_FRONT_AND_BACK,GL_FILL);
::glEnable(GL_LIGHTING);
::glLightModeli(GL_LIGHT_MODEL_TWO_SIDE, GL_TRUE);
// ::glLightModeli(GL_LIGHT_MODEL_TWO_SIDE, GL_FALSE);
if (flatShading)
{
::glShadeModel(GL_FLAT);
::glDisable(GL_BLEND);
::glDisable(GL_LINE_SMOOTH);
::glDisable(GL_POLYGON_SMOOTH_HINT);
::glBlendFunc(GL_ONE, GL_ZERO);
::glHint(GL_LINE_SMOOTH_HINT, GL_FASTEST);
}
else
{
::glShadeModel(GL_SMOOTH);
::glEnable(GL_BLEND);
::glEnable(GL_LINE_SMOOTH);
::glHint(GL_LINE_SMOOTH_HINT, GL_NICEST);
::glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
}
}
void Viewer::keyPressEvent(QKeyEvent *e)
{
const Qt::KeyboardModifiers modifiers = e->modifiers();
bool handled = false;
if ((e->key()==Qt::Key_W) && (modifiers==Qt::NoButton))
{
wireframe = !wireframe;
if (wireframe)
glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
else
glPolygonMode(GL_FRONT_AND_BACK, GL_FILL);
handled = true;
updateGL();
}
else if ((e->key()==Qt::Key_F) && (modifiers==Qt::NoButton))
{
flatShading = !flatShading;
if (flatShading)
{
::glShadeModel(GL_FLAT);
::glDisable(GL_BLEND);
::glDisable(GL_LINE_SMOOTH);
::glDisable(GL_POLYGON_SMOOTH_HINT);
::glBlendFunc(GL_ONE, GL_ZERO);
::glHint(GL_LINE_SMOOTH_HINT, GL_FASTEST);
}
else
{
::glShadeModel(GL_SMOOTH);
::glEnable(GL_BLEND);
::glEnable(GL_LINE_SMOOTH);
::glHint(GL_LINE_SMOOTH_HINT, GL_NICEST);
::glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
}
handled = true;
updateGL();
}
else if ((e->key()==Qt::Key_E) && (modifiers==Qt::NoButton))
{
edges = !edges;
handled = true;
updateGL();
}
else if ((e->key()==Qt::Key_V) && (modifiers==Qt::NoButton))
{
vertices = !vertices;
handled = true;
updateGL();
}
else if ((e->key()==Qt::Key_Z) && (modifiers==Qt::NoButton))
{
modeFilledFacet = (modeFilledFacet+1)%NB_FILLED_MODE;
handled = true;
updateGL();
}
else if ((e->key()==Qt::Key_R) && (modifiers==Qt::NoButton))
{
CGAL::mark_cell<Map,3>(*scene->map, iteratorAllDarts, markVolume);
while ( iteratorAllDarts!=scene->map->darts().end() &&
scene->map->is_marked(iteratorAllDarts,markVolume) )
{
++iteratorAllDarts;
}
if ( iteratorAllDarts==scene->map->darts().end() )
{
scene->map->negate_mark(markVolume);
assert( scene->map->is_whole_map_unmarked(markVolume) );
iteratorAllDarts=scene->map->darts().begin();
}
handled = true;
updateGL();
}
if (!handled)
QGLViewer::keyPressEvent(e);
}
QString Viewer::helpString() const
{
QString text("<h2>M a p V i e w e r</h2>");
text += "Use the mouse to move the camera around the object. ";
text += "You can respectively revolve around, zoom and translate with the three mouse buttons. ";
text += "Left and middle buttons pressed together rotate around the camera view direction axis<br><br>";
text += "Pressing <b>Alt</b> and one of the function keys (<b>F1</b>..<b>F12</b>) defines a camera keyFrame. ";
text += "Simply press the function key again to restore it. Several keyFrames define a ";
text += "camera path. Paths are saved when you quit the application and restored at next start.<br><br>";
text += "Press <b>F</b> to display the frame rate, <b>A</b> for the world axis, ";
text += "<b>Alt+Return</b> for full screen mode and <b>Control+S</b> to save a snapshot. ";
text += "See the <b>Keyboard</b> tab in this window for a complete shortcut list.<br><br>";
text += "Double clicks automates single click actions: A left button double click aligns the closer axis with the camera (if close enough). ";
text += "A middle button double click fits the zoom of the camera and the right button re-centers the scene.<br><br>";
text += "A left button double click while holding right button pressed defines the camera <i>Revolve Around Point</i>. ";
text += "In filled facet, there are four modes: all facets are filled; only facets between two volumes are filles; only the facets of current volume are filled; only the facets of current volume and all its adjacent volumes are filled.";
text += "See the <b>Mouse</b> tab and the documentation web pages for details.<br><br>";
text += "Press <b>Escape</b> to exit the viewer.";
return text;
}
#include "Viewer.moc"

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Linear_cell_complex/demo/Linear_cell_complex/Viewer.h
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// Copyright (c) 2010 CNRS, LIRIS, http://liris.cnrs.fr/, All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://gdamiand@scm.gforge.inria.fr/svn/cgal/branches/features/Linear_cell_complex-gdamiand/Linear_cell_complex/demo/Linear_cell_complex/Viewer.h $
// $Id: Viewer.h 58880 2010-09-24 19:41:06Z gdamiand $
//
// Author(s) : Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
//
#ifndef VIEWER_H
#define VIEWER_H
#include "typedefs.h"
#include <QGLViewer/qglviewer.h>
#include <QKeyEvent>
class Viewer : public QGLViewer
{
Q_OBJECT
CGAL::Timer timer;
Scene* scene;
bool wireframe;
bool flatShading;
bool edges;
bool vertices;
unsigned int modeFilledFacet;
int markVolume;
Map::Dart_range::iterator iteratorAllDarts;
typedef Map::Dart_handle Dart_handle;
public:
Viewer(QWidget* parent)
: QGLViewer(parent), wireframe(false), flatShading(true),
edges(true), vertices(true), modeFilledFacet(0)
{}
void setScene(Scene* scene_)
{
scene = scene_;
markVolume=scene->map->get_new_mark();
iteratorAllDarts=scene->map->darts().begin();
}
Map::Dart_range::iterator getCurrentDart() const
{ return iteratorAllDarts; }
// void clear();
public:
void draw();
virtual void init();
// void gl_draw_surface();
void keyPressEvent(QKeyEvent *e);
virtual QString helpString() const;
public slots :
void sceneChanged();
protected:
void drawFacet(Dart_handle ADart, int AMark);
void drawEdges(Dart_handle ADart);
void draw_one_vol_filled_facets(Dart_handle ADart,
int amarkvol, int amarkfacet);
void draw_current_vol_filled_facets(Dart_handle ADart);
void draw_current_vol_and_neighboors_filled_facets(Dart_handle ADart);
};
#endif

10
Linear_cell_complex/demo/Linear_cell_complex/about_Combinatorial_map_3.html
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<html>
<body>
<h2>3D Combinatorial Map</h2>
<p>Copyright &copy; 2009 CNRS</p>
<p>This application illustrates the 3D Combinatorial Map
of <a href="http://www.cgal.org/">CGAL</a>.</p>
<p>See also <a href="http://www.cgal.org/Pkg/CombinatorialMap">the online
manual</a>.</p>
</body>
</html>

181
Linear_cell_complex/demo/Linear_cell_complex/map_3_subdivision.cpp
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// Copyright (c) 2010 CNRS, LIRIS, http://liris.cnrs.fr/, All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL$
// $Id$
//
// Author(s) : Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
//
#include "typedefs.h"
#define PI 3.1415926535897932
// Smoth a vertex depending on the vertices of its incident facet.
class Smooth_old_vertex
{
public:
/** Constructor.
* @param amap is the map to smooth
* @param amark is a mark designing old darts (i.e. darts not created during
* the triangulation step)
*/
Smooth_old_vertex (Map & amap, unsigned int amark):mmap (amap)
{
}
Vertex operator () (Vertex & v) const
{
Dart_handle d = v.dart ();
CGAL_assertion (d != NULL);
int degree = 0;
bool open = false;
Map::One_dart_per_incident_cell_range<1,0>::iterator it (mmap, d),
itend(mmap.one_dart_per_incident_cell<1,0>(d).end());
for (; it != itend; ++it)
{
++degree;
if (it->is_free (2)) open = true;
}
if (open)
return v;
Map::FT alpha = (4.0f - 2.0f *
(Map::FT) cos (2.0f * PI / (Map::FT) degree)) / 9.0f;
Map::Vector vec = (v - CGAL::ORIGIN) * (1.0f - alpha);
for (it.rewind (); it != itend; ++it)
{
CGAL_assertion (!it->is_free (2));
vec = vec + (mmap.point(it->beta(2)) - CGAL::ORIGIN)
* alpha / degree;
}
Vertex res (CGAL::ORIGIN + vec);
res.set_dart (d);
// std::cout<<"operator() "<<v.point()<<" -> "<<res.point()<<std::endl;
return res;
}
private:
Map & mmap;
};
// Flip an edge, work in 2D and in 3D.
Dart_handle
flip_edge (Map & m, Dart_handle d)
{
CGAL_assertion (d != NULL && !d->is_free (2));
if (!CGAL::is_removable<Map,1>(m,d))
return NULL;
Dart_handle d2 = d->beta(1)->beta(1);
CGAL::remove_cell<Map,1>(m, d);
insert_cell_1_in_cell_2(m, d2, d2->beta(1)->beta(1));
return d2->beta (0);
}
// Subdivide each facet of the map by using sqrt(3)-subdivision.
void
subdivide_map_3 (Map & m)
{
if (m.number_of_darts () == 0)
return;
unsigned int mark = m.get_new_mark ();
unsigned int treated = m.get_new_mark ();
m.negate_mark (mark); // All the old darts are marked in O(1).
// 1) We smoth the old vertices.
std::vector < Vertex > vertices; // smooth the old vertices
vertices.reserve (m.number_of_attributes<0> ()); // get intermediate space
std::transform (m.vertex_attributes().begin (),
m.vertex_attributes().end (),
std::back_inserter (vertices),
Smooth_old_vertex (m, mark));
// 2) We subdivide each facet.
m.negate_mark (treated); // All the darts are marked in O(1).
unsigned int nb = 0;
for (Map::Dart_range::iterator it (m.darts().begin ());
m.number_of_marked_darts (treated) > 0; ++it)
{
++nb;
if (m.is_marked (it, treated))
{
// We unmark the darts of the facet to process only once dart/facet.
CGAL::unmark_cell < Map, 2 > (m, it, treated);
// We triangulate the facet.
CGAL::insert_center_cell_0_in_cell_2(m, it);
}
}
CGAL_assertion (m.is_whole_map_unmarked (treated));
CGAL_assertion (m.is_valid ());
m.free_mark (treated);
// 3) We update the coordinates of old vertices.
for (std::vector < Vertex >::iterator vit = vertices.begin ();
vit != vertices.end (); ++vit)
{
m.point(vit->dart())=*vit;
}
// 4) We flip all the old edges.
m.negate_mark (mark); // Now only new darts are marked.
Dart_handle d2 = NULL;
for (Map::Dart_range::iterator it (m.darts().begin ()); it != m.darts().end ();)
{
d2 = it++;
CGAL_assertion (d2 != NULL);
if (!m.is_marked (d2, mark)) // This is an old dart.
{
// We process only the last dart of a same edge.
if (!d2->is_free(2) && (d2->beta(2)->beta(3)==d2->beta(3)->beta(2)))
{
if (m.is_marked(d2->beta(2), mark) &&
(d2->is_free(3) ||
(m.is_marked(d2->beta(3), mark) &&
m.is_marked(d2->beta(2)->beta(3), mark))))
{
m.negate_mark (mark); // thus new darts will be marked
flip_edge (m, d2);
m.negate_mark (mark);
}
else
m.mark (d2, mark);
}
else
m.mark (d2, mark);
}
}
/* CGAL::display_darts(m,std::cout)<<std::endl;
for (Map::Vertex_attribute_iterator it = m.vertex_attributes_begin();
it!=m.vertex_attributes_end(); ++it)
{
std::cout<<it->point()<<", ";
}
std::cout<<std::endl;*/
CGAL_assertion (m.is_whole_map_marked (mark));
m.free_mark (mark);
CGAL_postcondition ( m.is_valid ());
}

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Linear_cell_complex/demo/Linear_cell_complex/typedefs.h
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// Copyright (c) 2010 CNRS, LIRIS, http://liris.cnrs.fr/, All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; version 2.1 of the License.
// See the file LICENSE.LGPL distributed with CGAL.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL: svn+ssh://gdamiand@scm.gforge.inria.fr/svn/cgal/branches/features/Linear_cell_complex-gdamiand/Linear_cell_complex/demo/Linear_cell_complex/typedefs.h $
// $Id: typedefs.h 65446 2011-09-20 16:55:42Z gdamiand $
//
// Author(s) : Guillaume Damiand <guillaume.damiand@liris.cnrs.fr>
//
#ifndef TYPEDEFS_H
#define TYPEDEFS_H
#include <CGAL/Linear_cell_complex.h>
#include <CGAL/Linear_cell_complex_constructors.h>
#include <CGAL/Linear_cell_complex_operations.h>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/IO/Color.h>
#include <CGAL/Timer.h>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <fstream>
#include <vector>
#include <list>
#define COLOR_VOLUME 1 // Pour activer la couleur des volumes
#ifdef COLOR_VOLUME
template<class Cell>
struct Average_functor : public std::binary_function<Cell,Cell,void>
{
void operator()(Cell& acell1,Cell& acell2)
{
acell1.attribute()=
CGAL::Color((acell1.attribute().r()+acell2.attribute().r())/2,
(acell1.attribute().g()+acell2.attribute().g())/2,
(acell1.attribute().b()+acell2.attribute().b())/2);
}
};
class Myitems
{
public:
// typedef CGAL::Exact_predicates_inexact_constructions_kernel Traits;
template < class Refs >
struct Dart_wrapper
{
typedef CGAL::Dart<3, Refs > Dart;
typedef CGAL::Cell_attribute_with_point< Refs > Vertex_attrib;
typedef CGAL::Cell_attribute< Refs, CGAL::Color > Volume_attrib;
typedef CGAL::cpp0x::tuple<Vertex_attrib,CGAL::Disabled,CGAL::Disabled,Volume_attrib>
Attributes;
};
};
#else // COLOR_VOLUME
typedef CGAL::Combinatorial_map_with_points_min_items<3,3> Myitems;
#endif
typedef CGAL::Linear_cell_complex_traits<3,CGAL::Exact_predicates_inexact_constructions_kernel> Mytraits;
typedef CGAL::Combinatorial_map_with_points<3,3,Mytraits,Myitems> Map;
typedef Map::Dart_handle Dart_handle;
typedef Map::Vertex_attribute Vertex;
typedef Map::Point Point_3;
typedef Map::Vector Vector_3;
typedef Map::Traits::Iso_cuboid_3 Iso_cuboid_3;
typedef CGAL::Timer Timer;
struct Scene {
Map* map;
};
#endif

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\section{Introduction}
A \emph{d}D linear cell complex allows to represent an orientable
subdivided \emph{d}D object having linear geometry: each vertex of the
subdivision is associated with a point. The geometry of each edge is a
segment whose end points are associated with the two vertices of the
edge, the geometry of each 2-cell is obtained from all the segments
associated to the edges describing the boundary of the 2-cell and so
on.
The combinatorial part of a linear cell complex is described by using
a \emph{d}D combinatorial map (see Chapter~\ref{ChapterCombinatorialMap}).
To add the linear geometrical embedding, a point (a model of
\ccc{CGAL::Point_2} or \ccc{CGAL::Point_3} or \ccc{CGAL::Point_d}) is
associated to each vertex of the combinatorial map.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{figure}[ht]
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=.3\textwidth]
{Linear_cell_complex/fig/pdf/object2d}
\qquad
\includegraphics[width=.53\textwidth]
{Linear_cell_complex/fig/pdf/intuitif-example-lcc-object}
% \includegraphics[width=.3\textwidth]
% {Linear_cell_complex/fig/pdf/4Dobject}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/object2d.png"><img src="fig/png/object2d.png" alt=""></A>
<A HREF="fig/png/intuitif-example-lcc-object.png"><img src="fig/png/intuitif-example-lcc-object.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\caption{Example of objects with linear geometry. \textbf{Left}:~A
2D object composed of three 2-cells, nine
1-cells and seven points associated to the seven 0-cells .
\textbf{Right}:~A
3D object composed of three 3-cells, twelve 2-cells, sixteen
1-cells and eight points associated to the eight 0-cells.
% \textbf{Right}: A 4D object (called
% Tesseract) composed of one 4-cell, eight 3-cells, twenty-four 2-cells,
% thirty-two 1-cells and sixteen 0-cells.
\label{fig-exemple-introductif}}
\end{figure}
%
If we reconsider the example introduced in the combinatorial map
package, recalled in Figure~\ref{fig-exemple-introductif} (Left), the
combinatorial part of the 3D object is described by a 3D combinatorial
map. As illustrated in Figure~\ref{fig-exemple-introductif-lcc}, the
geometrical part of the object is described by associating a point to
each vertex of the map.
%
\def\LargFig{.3\textwidth}
\begin{figure}[h]
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex/fig/pdf/intuitif-example-lcc}\qquad
\includegraphics[width=\LargFig]{Linear_cell_complex/fig/pdf/intuitif-example-lcc-zoom}
\includegraphics[width=\LargFig]{Linear_cell_complex/fig/pdf/intuitif-example-lcc-zoom2}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/intuitif-example-lcc.png">
<img src="fig/png/intuitif-example-lcc.png" alt=""></A>
<A HREF="fig/png/intuitif-example-lcc-zoom.png">
<img src="fig/png/intuitif-example-lcc-zoom.png" alt=""></A>
<A HREF="fig/png/intuitif-example-lcc-zoom2.png">
<img src="fig/png/intuitif-example-lcc-zoom2.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\caption{Example of 3D linear cell complex describing the object
given in Figure~\ref{fig-exemple-introductif} (Left).
\textbf{Left}:~The 3D linear cell complex which contains 54 darts
(18 for each 3-cell) where each vertex is associated with a
point, here a \ccc{CGAL::Point_3}. Blue segments represent \betatrois{} relations.
\textbf{Middle}:~Zoom around
the central edge which details the six darts belonging to the
edge and the associations between darts and points.
\textbf{Right}:~Zoom around the facet between light gray and
white 3-cells, which details the eight darts belonging to the
facet and the associations between darts and
points (given by red segments).\label{fig-exemple-introductif-lcc}}
\end{figure}
Note that the dimension of the combinatorial map \emph{d} is not
necessarily equal to the dimension of the ambient space
\emph{d2}. Indeed, we can use for example a 2D combinatorial map in a
2D ambient space to describe a planar graph
(\emph{d}=\emph{d2}=\emph{2}), or a 2D combinatorial map in a 3D
ambient space to describe a surface in 3D space (\emph{d}=2,
\emph{d2}=3) (case of the \ccc{Polyhedron_3} package), or a 3D
combinatorial map in a 3D ambient space (\emph{d}=\emph{d2}=3) and so
on.
\section{Software Design}
The diagram in Figure~\ref{fig-diagram_class_lcc} shows the main
classes of the package. \ccc{CGAL::Linear_cell_complex} is the main
class (see Section~\ref{ssec-linear-cell-complex}) which inherits from
the \ccc{CGAL::Combinatorial_map} class. Attributes can be associated
to some cells of the linear cell complex thanks to an items class (see
Section~\ref{ssec-lcc-item}), which defines the dart type and the
attribute types. These types may be different for different
dimensions, and they may also be void. In class
\ccc{CGAL::Linear_cell_complex}, it is required that
specific attributes are associated to all vertices of the
combinatorial map. These attributes must contain a point (a model of
\ccc{CGAL::Point_2} or \ccc{CGAL::Point_3} or \ccc{CGAL::Point_d}),
and can be represented by instances of class
\ccc{CGAL::Cell_attribute_with_point} (see
Section~\ref{ssec-attribute-wp}).
%
\begin{figure}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=.95\textwidth]
{Linear_cell_complex/fig/pdf/Diagramme_class}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/Diagramme_class.png">
<img src="fig/png/Diagramme_class.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\caption{UML diagram of the main classes of the package. Gray
elements come from the \ccc{Combinatorial_map} package
(cf. Chapter~\ref{ChapterCombinatorialMap}).}
\label{fig-diagram_class_lcc}
\end{figure}
\subsection{Linear Cell Complex}\label{ssec-linear-cell-complex}
The \ccc{CGAL::Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>} class
is a model of the \ccc{CombinatorialMap} concept. It guarantees that
each vertex of the combinatorial map is associated with an attribute
containing a point. This class can be used in geometric algorithms (it
plays the same role as \ccc{Polyhedron_3} for \ccc{HalfedgeDS}).
This class has five template parameters standing for the dimension of
the combinatorial map, the dimension of the ambient space, a traits
class (a model of the \ccc{LinearCellComplexTraits} concept, see
Section~\ref{ssec-lcc-traits}), an items class (a model of the
\ccc{LinearCellComplexItems} concept, see
Section~\ref{ssec-lcc-item}), and an allocator which must be a model
of the allocator concept of {\stl}. Default classes are provided for
the traits, items and for the allocator classes, and by default
\ccc{d2=d}.
A linear cell complex is valid, if it is a valid combinatorial map
where each dart is associated with an attribute containing a point
(i.e. an instance of a model of the \ccc{CellAttributeWithPoint}
concept). Note that there are no validity constraint on the geometry
(test on self intersection, planarity of 2-cells...) because these
tests are complex, too slow (for example to detect a self
intersection, we have to simulate a Boolean operation), and often
false for inexact kernels. We can see two examples of
\ccc{CGAL::Linear_cell_complex} in
Figure~\ref{fig-combi_map_with_point}.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{figure}
\begin{ccTexOnly}
\centerline{\includegraphics[width=.25\textwidth]
{Linear_cell_complex/fig/pdf/plane-graph}
\qquad
\includegraphics[width=.45\textwidth]
{Linear_cell_complex/fig/pdf/basic-example3D}}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/plane-graph.png">
<img src="fig/png/plane-graph.png" alt=""></A>
<A HREF="fig/png/basic-example3D.png">
<img src="fig/png/basic-example3D.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\caption{Examples of \ccc{CGAL::Linear_cell_complex}. Gray disks show the
attributes associated to vertices. Associations between darts and
attributes are drawn by small lines between darts and disks.
\textbf{Left:}~Example of \ccc{CGAL::Linear_cell_complex<2,2>}.
\textbf{Right:}~Example of \ccc{CGAL::Linear_cell_complex<3,3>}.}
\label{fig-combi_map_with_point}
\end{figure}
%
% \begin{figure}
% \begin{ccTexOnly}
% \centerline{\includegraphics[width=.45\textwidth]
% {Linear_cell_complex/fig/pdf/exemple-carte-with_point_3d-sew2}}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/exemple-carte-with_point_3d-sew2.png">
% <img src="fig/png/exemple-carte-with_point_3d-sew2.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \caption{Example of \ccc{Linear_cell_complex<3,3>}. Circles show the
% attributes associated to vertices, containing 3D
% points. Associations between darts and attributes are drawn by small
% lines between darts and disks.}
% \label{fig-combi_map_with_point}
% \end{figure}
\subsection{Cell Attributes}\label{ssec-attribute-wp}
The
\ccc{CGAL::Cell_attribute_with_point<LCC,Info_,Tag,OnMerge,OnSplit>}
class is a model of the \ccc{CellAttributeWithPoint} concept which is
a refinement of the \ccc{CellAttribute} concept. It represents an
attribute associated with a cell which can contain an information
(depending if \ccc{Info_==void} or not), but which always contain a
point, an instance of \ccc{LCC::Point}.
% . This
% class inherits from the type of point defined in \ccc{LCC}. Thus we
% can use an instance of \ccc{CGAL::Cell_attribute_with_point} everywhere an
% instance of \ccc{LCC::Point} is required.
% combinatorial map, see example in
% Section~\ref{ssec-exemple-color-vertices}).
% \end{enumerate}
\subsection{Linear Cell Complex Traits}\label{ssec-lcc-traits}
The \ccc{LinearCellComplexTraits} geometric traits concept defines the
required types and functors used in the \ccc{Linear_cell_complex}
class. For example it defines \ccc{Point}, the type of points used,
and \ccc{Vector}, the corresponding vector type. It also defines all
the required functors used for contructions and operations, as for
example \ccc{Construct_translated_point} or
\ccc{Construct_sum_of_vectors}.
The class \ccc{CGAL::Linear_cell_complex_traits<d,K>} is a model of
\ccc{LinearCellComplexTraits}. It defines the different types which
are obtained from \ccc{K} which, depending on \ccc{d}, is either a model of
the concept \ccc{Kernel} if \ccc{d==2} or \ccc{d==3}; a model of the
concept \ccc{Kernel_d} otherwise.
\subsection{Linear Cell Complex Items}\label{ssec-lcc-item}
The \ccc{LinearCellComplexItems} concept refines the
\ccc{CombinatorialMapItems} concept by adding the requirement that
0-attributes are enabled, and associated with a type of attribute
being a model of the \ccc{CellAttributeWithPoint} concept.
% In
% addition to the requirements of \ccc{CombinatorialMapItems}, the
% item class must also define the \ccc{Traits} type for the geometrical
% traits used, a model of the \ccc{Kernel} or the
% \ccc{Kernel_d} concept.
The class \ccc{CGAL::Linear_cell_complex_min_items<d>} is a
model of \ccc{LinearCellComplexItems}. It uses \ccc{CGAL::Dart<d>},
and it has instances of \ccc{CGAL::Cell_attribute_with_point}
which contain no information associated to each vertex. All other
attributes are void.
% By default, \ccc{d2} is equal to \ccc{d}. There
% is a default template argument for Traits class which depends on
% \ccc{d2}. This is
% \ccc{CGAL::Exact_predicates_inexact_constructions_kernel type} if
% \ccc{d2} is 2 or 3, and this is \ccc{CGAL::Cartesian_d<double>}
% otherwise.
\section{Operations}
Several operations defined in the combinatorial maps package can be
used on a linear cell complex. This is the case for all the iteration
operations that do not modify the model (see example in
Section~\ref{ssec-3D-lcc}). This is also the case for
all the operations that do not create new 0-cells: \ccc{sew},
\ccc{unsew}, \ccc{remove_cell}, \ccc{insert_cell_1_in_cell_2},
\ccc{insert_cell_2_in_cell_3}. Indeed, all these operations update
non void attributes, and thus update vertex attributes of a linear
cell complex. Note that some existing 0-attributes can be duplicated
by the \ccc{unsew} method, but these 0-attributes are not ``new'' but
copies of existing old 0-attributes.
However operations that create a new 0-cell can not be directly used
since the new 0-cell would not be associated with a vertex
attribute. Indeed, it is not possible for these operations to
automatically decide which point to create. These operations are:
\ccc{insert_cell_0_in_cell_1}, \ccc{insert_cell_0_in_cell_2}
\ccc{insert_dangling_cell_1_in_cell_2}, plus all the creation
operations. For these operations, refined versions are proposed taking
a point as additional parameter. Lastly, some new operations are
defined which use the geometry (see Sections~\ref{ssec-modif-op} and
\ref{ssec-constructions-op}).
% having
% an additional information allowing to create the new vertex attribute.
% This information can either be additional parameters, or a
% specialization to be able to compute the geometry of the new points.
% These
% operations are \ccc{barycenter}, \ccc{compute_normal_of_cell_2} and
% \ccc{compute_normal_of_cell_0} (these two last functions are defined
% only when \ccc{ambient_dimension==3}).
% Since these operations use some
% geometrical constructions, they have some specific requirements on the
% traits class used.
All the operations given in this section guarantee that given a valid
linear cell complex and a possible operation, the result is a valid
linear cell complex. As for a combinatorial map, it is also possible
to use low level operations but additional operations may be needed to
restore the validity conditions.
%\subsection{Iterating Over Orbits, Cells, and Attributes}\label{ssec-lcc-range}
\subsection{Sewing and Unsewing \label{ssec-lcc-link-darts}}
As explained in \ccc{Combinatorial_map} user manual (see
Chapter~\ref{ChapterCombinatorialMap}), it is possible to glue two
\emph{i}-cells along an (\emph{i}-1)-cell by using the \ccc{sew<i>}
method. Since this method updates non void attributes, and since
points are specific attributes, they are automatically updated during
the \ccc{sew<i>} method. Thus the sewing of two \emph{i}-cells could
deform the geometry of the concerned objects.
For example, in Figure~\ref{fig-lcc-exemple-sew}, we want to 3-sew the
two initial 3-cells. \ccc{sew<3>(1,5)} links by \betatrois{} the pairs
of darts (1,5), (2,8), (3,7) and (4,6). The eight vertex attributes
around the facet between the two 3-cells before the sew are merged by
pair during the sew operation (and the \ccc{On_merge} functor is
called four times). Thus, after the sew, there are only four
attributes around the facet. By default, the attributes associated
with the first dart of the sew operation are kept (but this can be
modified by defining your own functor in the attribute class as
explained in package \ccc{Combinatorial_map}). Intuitively, the
geometry of the second 2-cell is deformed to fit to the first 2-cell.
%
\def\LargFig{.45\textwidth}
\begin{figure}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex/fig/pdf/exemple-carte-with_point_3d-sew}\qquad
\includegraphics[width=\LargFig]{Linear_cell_complex/fig/pdf/exemple-carte-with_point_3d-sew2}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/exemple-carte-with_point_3d-sew.png">
<img src="fig/png/exemple-carte-with_point_3d-sew.png" alt=""></A>
<A HREF="fig/png/exemple-carte-with_point_3d-sew2.png">
<img src="fig/png/exemple-carte-with_point_3d-sew2.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\caption{Example of 3-sew operation for linear cell complex.
\textbf{Left}: A 3D linear cell complex containing two 3-cells
that are not connected. Vertex attributes are drawn with circles
containing point coordinates. Associations between darts and
attributes are drawn with small lines between darts and
disks. \textbf{Right}: The 3D linear cell complex obtained as
result of \ccc{sew<3>(1,5)} (or \ccc{sew<3>(2,8)}, or
\ccc{sew<3>(3,7)}, or \ccc{sew<3>(4,6)}). The eight
0-attributes around the facet between the two 3-cells before the
sew operation, are merged into four 0-attributes after. The
geometry of the pyramid is deformed since its base is fitted on
the 2-cell of the cube.}
\label{fig-lcc-exemple-sew}
\end{figure}
This is similar for the unsew operation, which removes \betai{} links
of all the darts in
\orbit{\betaun{},\myldots{},\betaimdeux{},\betaipdeux{},\myldots{},\betad{}}(\emph{d0}),
and updates
non void attributes which are no more associated to a same cell due to
the unlinks. If we take the linear cell complex given in
Figure~\ref{fig-lcc-exemple-sew} (Right), and we call
\ccc{unsew<3>(2)}, we obtain the linear cell complex in
Figure~\ref{fig-lcc-exemple-sew} (Left) (except for the coordinates of
the new four vertices, which by default are copies of original
vertices. This behavior can be modified thanks to the functor
\ccc{On_split} in the attribute class). The \ccc{unsew<3>} operation
has removed the four \betatrois{} links, and has duplicated the attributes
since vertices are cut in two after the unsew operation.
\subsection{Construction Operations}\label{ssec-constructions-op}
There are several member functions allowing to create specific
configurations of darts into a linear cell complex. These functions
% take an instance of a model of \ccc{LinearCellComplex} as first parameter, and
return a \ccc{Dart_handle} to the new object. Note
that the dimension of the linear cell complex must be large enough:
darts must contain all the \betats{} used by the operation. All these
method add new darts in the current linear cell complex, existing
darts are not modified. The existing functions
are \ccc{make_segment}, \ccc{make_triangle}, % \ccc{make_rectangle},
\ccc{make_tetrahedron}, and \ccc{make_hexahedron}. % and \ccc{make_isocuboid}.
% \begin{figure}
% \begin{ccTexOnly}
% \centerline{\includegraphics[width=.75\textwidth]
% {Linear_cell_complex/fig/pdf/creations}}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/creations.png">
% <img src="fig/png/creations.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \caption{Example of basic objets creation: \ccc{make_segment},
% \ccc{make_triangle}, \ccc{make_rectangle},
% \ccc{make_tetrahedron} and \ccc{make_iso_cuboid}.}
% \label{fig-basic-creation}
% \end{figure}
% \begin{itemize}
% \item \ccc{make_segment(lcc,p1,p2)}: creates an isolated segment in
% \ccc{lcc} between points \ccc{p1} and \ccc{p2};
% \item \ccc{make_triangle(lcc,p1,p2,p3)}: creates an isolated
% triangle in \ccc{lcc} having points \ccc{p1}, \ccc{p2}, \ccc{p3} as geometry;
% \item \ccc{make_quadrangle(lcc,p1,p2,p3,p4)}: creates an isolated
% quadrangle in \ccc{lcc} having points \ccc{p1}, \ccc{p2}, \ccc{p3},
% \ccc{p4} as geometry;
% \item \ccc{make_rectangle(lcc,p1,p2)}: creates an isolated
% rectangle in \ccc{lcc} having points \ccc{p1}, \ccc{p2} as extreme points;
% \item \ccc{make_rectangle(lcc,r)}: creates an isolated
% rectangle in \ccc{lcc} having rectangle \ccc{r} as geometry;
% \item \ccc{make_rectangle(lcc,p,l1,l2)}: creates an isolated
% rectangle in \ccc{lcc} having points \ccc{p} as based point and
% \ccc{l1} and \ccc{l2} as width and height;
% \item \ccc{make_square(lcc,p,l)}: creates an isolated
% square in \ccc{lcc} having points \ccc{p} as based point
% and \ccc{l} as size,
% \item \ccc{make_tetrahedron(lcc,p1,p2,p3,p4)}: creates a tetrahedron
% having points \ccc{p1}, \ccc{p2}, \ccc{p3}, \ccc{p4} as geometry;
% \item \ccc{make_hexahedron(lcc,p1,p2,p3,p4,p5,p6,p7,p8)}: creates an
% hexahedron having points \ccc{p1}, \ccc{p2}, \ccc{p3}, \ccc{p4},
% \ccc{p5}, \ccc{p6}, \ccc{p7}, \ccc{p8} as geometry;
% \item \ccc{make_iso_cuboid(lcc,p1,p2)}: creates an isolated isocuboid
% having points \ccc{p1} and \ccc{p2} as extreme points;
% \item \ccc{make_iso_cuboid(lcc,ic)}: creates an isolated isocuboid
% having \ccc{ic} as geometry.
% \item \ccc{make_cube(lcc,p,l)}: creates an isolated cube
% having point \ccc{p} as based point and \ccc{l} as size.
%\end{itemize}
There are two functions allowing to build a linear cell complex
from two other \cgal\ data types:
\begin{itemize}
\item \ccc{import_from_triangulation_3(lcc,atr)}: adds in \ccc{lcc} all
the tetrahedra present in \ccc{atr}, a \ccc{CGAL::Triangulation_3};
\item \ccc{import_from_polyhedron(lcc,ap)}: adds in \ccc{lcc} all
the cells present in \ccc{ap}, a \ccc{CGAL::Polyhedron_3}.
\end{itemize}
Lastly, the function \ccc{import_from_plane_graph(lcc,ais)} adds in
\ccc{lcc} all the cells reconstructed from the planar graph read in
\ccc{ais}, a \ccc{std::istream}.
\subsection{Modification Operations}\label{ssec-modif-op}
Some methods are defined in \ccc{Linear_cell_complex} class and allow
to modify a linear cell complex and updating the vertex attributes. The
following versions exist.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{figure}[htb]
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=.75\textwidth]{Linear_cell_complex/fig/pdf/insert-vertex}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER> <A HREF="fig/png/insert-vertex.png"><img
src="fig/png/insert-vertex.png" alt=""></A> </CENTER>
\end{ccHtmlOnly}
\caption{Example of \ccc{insert_barycenter_in_cell<1>} and
\ccc{remove_cell<0>} operations. \textbf{Left}: Initial linear
cell complex. \textbf{Right}: After the insertion of a 0-cell in
the barycenter of the 1-cell containing dart \emph{d1}. Now if we
remove the 0-cell containing dart \emph{d2}, we obtain a linear
cell complex isomorphic to the initial one.}
\label{fig-lcc-insert-vertex}
\end{figure}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ccc{lcc.insert_barycenter_in_cell<unsigned int i>(dh0)} adds a point
in the middle of the \emph{i}-cell containing dart \ccc{d0}. This
operation is possible if \ccc{d0}\myin{}\ccc{lcc.darts()} (see example
on Figure~\ref{fig-lcc-insert-vertex} and
Figure~\ref{fig-lcc-triangulate}).
\ccc{lcc.insert_point_in_cell<unsigned int i>(dh0,p)} is an
operation similar to the previous operation, the only difference being
that the coordinates of the new point is here given by \ccc{p} instead
of being computed as the barycenter of the \emph{i}-cell. Currently,
these two operations are only defined for \ccc{i=1} to insert a point
in an edge, or \ccc{i=2} to insert a point in a facet.
%
% \ccc{insert_center_cell_0_in_cell_2(lcc,dh0)} adds a 0-cell in the
% barycenter of the 2-cell containing dart \ccc{d0}. The 2-cell is
% split in triangles, one for each initial edge of the 2-cell. This
% operation is possible if \ccc{d0}\myin{}\ccc{lcc.darts()} (see example
% on Figure~\ref{fig-lcc-triangulate}).
\begin{figure}[htb]
\begin{ccTexOnly}
\centerline{\includegraphics[width=.85\textwidth]
{Linear_cell_complex/fig/pdf/triangulation}}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER> <A HREF="fig/png/triangulation.png"> <img
src="fig/png/triangulation.png" alt=""></A> </CENTER>
\end{ccHtmlOnly}
\caption{Example of \ccc{insert_barycenter_in_cell<2>} operation.}
\label{fig-lcc-triangulate}
\end{figure}
%
\ccc{lcc.insert_dangling_cell_1_in_cell_2(dh0,p)} adds a 1-cell in
the 2-cell containing dart \ccc{d0}, the 1-cell being attached by only
one of its vertex to the 0-cell containing dart \ccc{d0}. The second
vertex of the new edge is associated with a new 0-attribute containing
a copy of \ccc{p} as point. This operation is possible if
\ccc{d0}\myin{}\ccc{lcc.darts()} (see example on
Figure~\ref{fig-lcc-insert-dangling-edge}).
\begin{figure}[htb]
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=.72\textwidth]{Linear_cell_complex/fig/pdf/insert-edge}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER> <A HREF="fig/png/insert-edge.png"><img
src="fig/png/insert-edge.png" alt=""></A> </CENTER>
\end{ccHtmlOnly}
\caption{Example of \ccc{insert_dangling_cell_1_in_cell_2} and
\ccc{remove_cell<1>} operations. \textbf{Left}: Initial linear
cell complex. \textbf{Right}: After the insertion of a dangling
1-cell in the 2-cell containing dart \emph{d1}. Now if we remove
the 1-cell containing dart \emph{d2}, we obtain a linear cell
complex isomorphic to the initial one.}
\label{fig-lcc-insert-dangling-edge}
\end{figure}
% \end{itemize}
% \end{itemize}
Some examples of use of these operations are given in
Section~\ref{ssec-5dexample}.
% The operations defined on combinatorial maps can be used on linear
% cell complexes. However, only operations which does not create a new
% vertex ensure the validity of enabled cells: \ccc{remove_cell<i>},
% \ccc{insert_cell_1_in_cell_2}, \ccc{insert_cell_2_in_cell_3}.
% For other operations, you need to create 0-attributes and associate
% them to new vertices.
\section{Examples}
\subsection{A 3D Linear Cell Complex}\label{ssec-3D-lcc}
This example uses a 3-dimensional linear cell complex. It creates two
tetrahedra and displays all the points of the linear cell complex
thanks to a \ccc{Vertex_attribute_const_range}. Then, the two
tetrahedra are 3-sewn and we translate all the points of the second
tetrahedron along vector \ccc{v(3,1,1)}. Since the two tetrahedron
are 3-sewn, this translation moves also the 2-cell of the first
tetrahedron shared with the second one. This is illustrated by
displaying all the points of each 3-cell. For that we use a
\ccc{std::for_each} and the \ccc{Display_vol_vertices} functor.
%\ccIncludeExampleCode{Linear_cell_complex/map_3_with_points.cpp}
% TODO update the code to reflect the last modifs of the doc.
\begin{ccExampleCode}
typedef CGAL::Linear_cell_complex<3> LCC_3;
typedef LCC_3::Dart_handle Dart_handle;
typedef LCC_3::Point Point;
typedef LCC_3::FT FT;
// Functor used to display all the vertices of a given volume
template<class LCC>
struct Display_vol_vertices : public std::unary_function<LCC, void>
{
Display_vol_vertices(const LCC& alcc) :
lcc(alcc),
nb_volume(0)
{}
void operator() (typename LCC::Dart& d)
{
std::cout<<"Volume "<<++nb_volume<<" : ";
for (typename LCC::template One_dart_per_incident_cell_range<0,3>::
const_iterator it=lcc.template
one_dart_per_incident_cell<0,3>(lcc.dart_handle(d)).begin(),
itend=lcc.template one_dart_per_incident_cell<0,3>
(lcc.dart_handle(d)).end(); it!=itend; ++it)
{
std::cout << LCC_3::point(it) << "; ";
}
std::cout<<std::endl;
}
private:
const LCC& lcc;
unsigned int nb_volume;
};
int main()
{
LCC_3 lcc;
// Create two tetrahedra.
Dart_handle d1 = lcc.make_tetrahedron(Point(-1, 0, 0),
Point(0, 2, 0),
Point(1, 0, 0),
Point(1, 1, 2));
Dart_handle d2 = lcc.make_tetrahedron(Point(0, 2, -1),
Point(-1, 0, -1),
Point(1, 0, -1),
Point(1, 1, -3));
// Display all the vertices of the lcc by iterating on the
// vertex_attribute container.
CGAL::set_ascii_mode(std::cout);
std::cout<<"Vertices: ";
for (LCC_3::Vertex_attribute_const_range::iterator
v=lcc.vertex_attributes().begin(),
vend=lcc.vertex_attributes().end(); v!=vend; ++v)
std::cout << *v << "; ";
std::cout<<std::endl;
// Display the vertices of each volume by iterating on darts.
std::for_each(lcc.one_dart_per_cell<3>().begin(),
lcc.one_dart_per_cell<3>().end(),
Display_vol_vertices<LCC_3>(lcc));
// 3-Sew the 2 tetrahedra along one facet
lcc.sew<3>(d1, d2);
// Display the vertices of each volume by iterating on darts.
std::for_each(lcc.one_dart_per_cell<3>().begin(),
lcc.one_dart_per_cell<3>().end(),
Display_vol_vertices<LCC_3>(lcc));
// Translate the second tetrahedra by a given vector
LCC_3::Vector v(3,1,1);
for (LCC_3::One_dart_per_incident_cell_range<0,3>::iterator
it=lcc.one_dart_per_incident_cell<0,3>(d2).begin(),
itend=lcc.one_dart_per_incident_cell<0,3>(d2).end();
it!=itend; ++it)
{
LCC_3::point(it)=LCC_3::Traits::Construct_translated_point_3()
(LCC_3::point(it),v);
}
// Display the vertices of each volume by iterating on darts.
std::for_each(lcc.one_dart_per_cell<3>().begin(),
lcc.one_dart_per_cell<3>().end(),
Display_vol_vertices<LCC_3>(lcc));
// We display the lcc characteristics.
std::cout<<"LCC characteristics: ";
lcc.display_characteristics(std::cout) << ", valid="
<< lcc.is_valid() << std::endl;
return EXIT_SUCCESS;
}
\end{ccExampleCode}
The output is:
\begin{verbatim}
Vertices: 1 1 2; 1 0 0; 0 2 0; -1 0 0; 1 1 -3; 1 0 -1; -1 0 -1; 0 2 -1;
Volume 1 : -1 0 0; 0 2 0; 1 0 0; 1 1 2;
Volume 2 : 0 2 -1; -1 0 -1; 1 0 -1; 1 1 -3;
Volume 1 : -1 0 0; 0 2 0; 1 0 0; 1 1 2;
Volume 2 : 0 2 0; -1 0 0; 1 0 0; 1 1 -3;
Volume 1 : 2 1 1; 3 3 1; 4 1 1; 1 1 2;
Volume 2 : 3 3 1; 2 1 1; 4 1 1; 4 2 -2;
LCC characteristics: #Darts=24, #0-cells=5, #1-cells=9, #2-cells=7, #3-cells=2, #ccs=1, valid=1
\end{verbatim}
The first line gives the points of the linear cell complex before the
\ccc{sew<3>}. There are eight points, four for each tetrahedron.
After the sew, six vertices are merged two by two, thus there are five
vertices. We can see the points of each 3-cell (lines Volume 1 and
Volume 2) before the sew, after the sew and after the translation of
the second volume. We can see that this translation has also modified
the three common points between the two 3-cells. The last line shows
the number of cells of the linear cell complex, the number of
connected components, and finally a Boolean to show the validity of
the linear cell complex.
\subsection{A 4D Linear Cell Complex}\label{ssec-5dexample}
This example uses a 4-dimensional linear cell complex embedded in a
5-dimensional ambient space. It creates two tetrahedra having 5D
points, sew the two tetrahedra by \betaquatre{}. Then we use some high
level operations, displays the number of cells of the linear cell
complex, and checks its validity. Last we use the reverse operations
to get back to the initial configuration.
\begin{ccExampleCode}
typedef CGAL::Linear_cell_complex<4,5> LCC_4;
typedef LCC_4::Dart_handle Dart_handle;
typedef LCC_4::Point Point;
typedef LCC_4::Vector Vector;
typedef LCC_4::FT FT;
int main()
{
LCC_4 lcc;
// Create two tetrahedra.
FT p1[5]={ 0, 0, 0, 0, 0}; std::vector<FT> v1(p1,p1+5);
FT p2[5]={ 0, 2, 0, 0, 0}; std::vector<FT> v2(p2,p2+5);
FT p3[5]={ 0, 1, 2, 0, 0}; std::vector<FT> v3(p3,p3+5);
FT p4[5]={ 2, 1, 0, 0, 0}; std::vector<FT> v4(p4,p4+5);
FT p5[5]={-1, 0, 0, 0, 0}; std::vector<FT> v5(p5,p5+5);
FT p6[5]={-1, 2, 0, 0, 0}; std::vector<FT> v6(p6,p6+5);
FT p7[5]={-1, 1, 2, 0, 0}; std::vector<FT> v7(p7,p7+5);
FT p8[5]={-3, 1, 2, 0, 0}; std::vector<FT> v8(p8,p8+5);
Dart_handle d1 = lcc.make_tetrahedron(
Point(5, v1.begin(), v1.end()),
Point(5, v2.begin(), v2.end()),
Point(5, v3.begin(), v3.end()),
Point(5, v4.begin(), v4.end()));
Dart_handle d2 = lcc.make_tetrahedron(
Point(5, v5.begin(), v5.end()),
Point(5, v6.begin(), v6.end()),
Point(5, v7.begin(), v7.end()),
Point(5, v8.begin(), v8.end()));
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
lcc.sew<4>(d1,d2);
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
// Add one vertex on the middle of an edge.
Dart_handle d3 = lcc.insert_barycenter_in_cell<1>(lcc,d1);
CGAL_assertion( lcc.is_valid() );
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
// Add one edge to cut the face in two.
Dart_handle d4 = CGAL::insert_cell_1_in_cell_2(lcc,d3,d1->beta(0));
CGAL_assertion( lcc.is_valid() );
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
// We use the removal operations to get back to the initial cube.
CGAL::remove_cell<LCC_5,1>(lcc,d4);
CGAL_assertion( lcc.is_valid() );
CGAL::remove_cell<LCC_5,0>(lcc,d3);
CGAL_assertion( lcc.is_valid() );
lcc.unsew<4>(d1);
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
return EXIT_SUCCESS;
}
\end{ccExampleCode}
The output is:
\begin{verbatim}
#Darts=24, #0-cells=8, #1-cells=12, #2-cells=8, #3-cells=2, #4-cells=2, #ccs=2, valid=1
#Darts=24, #0-cells=4, #1-cells=6, #2-cells=4, #3-cells=1, #4-cells=2, #ccs=1, valid=1
#Darts=32, #0-cells=5, #1-cells=8, #2-cells=5, #3-cells=1, #4-cells=2, #ccs=1, valid=1
#Darts=24, #0-cells=8, #1-cells=12, #2-cells=8, #3-cells=2, #4-cells=2, #ccs=2, valid=1
\end{verbatim}
\subsection{A 3D Linear Cell Complex with Colored Vertices}
\label{ssec-exemple-color-vertices}
This example illustrates the way to use a 3D linear cell complex by
adding another information to vertices. For that, we need to define
our own items class. The difference with the
\ccc{CGAL::Linear_cell_complex_min_items} class is about the definition of
the vertex attribute where we use a \ccc{CGAL::Cell_attribute_with_point}
with a non void info. In this example, the ``vextex color'' is just
given by an \ccc{int} (the second template parameter of the
\ccc{CGAL::Cell_attribute_with_point}). Lastly, we define the
\ccc{Average_functor} class in order to set the color of a vertex
resulting of the merging of two vertices to the average of the two
initial values. This functor is associated with the vertex attribute
by passing it as template parameter. Using this items class instead of
the default one is chosen during the instantiation of template
parameters of the \ccc{CGAL::Linear_cell_complex} class.
Now we can use \ccc{LCC_3} in which each vertex is associated with an
attribute containing both a point and an information. In the following
example, we create two cubes, and set the color of the vertices of the
first cube to 1 and of the second cube to 19 (by iterating through two
\ccc{Cell_of_cell_range<0, 3>} ranges). Then we \emph{3-sew} the two
cubes along one facet. This operation merges some vertices (as in the
example of Figure~\ref{fig-lcc-exemple-sew}). We insert a vertex in
the common 2-cell between the two cubes, and set the information of
the new 0-attribute to 5. In the last loop, we display the point and
the information of each vertex of the linear cell complex.
\begin{ccExampleCode}
struct Average_functor
{
template<class CellAttribute>
void operator()(CellAttribute& ca1,CellAttribute& ca2)
{ ca1.info()=(ca1.info()+ ca2.info())/2; }
};
struct Myitem
{
template<class Refs>
struct Dart_wrapper
{
typedef CGAL::Dart<3, Refs > Dart;
typedef CGAL::Cell_attribute_with_point< Refs, int, CGAL::Tag_true,
Average_functor > Vertex_attribute;
typedef CGAL::cpp0x::tuple<Vertex_attribute> Attributes;
};
};
typedef CGAL::Linear_cell_complex_traits<3,
CGAL::Exact_predicates_inexact_constructions_kernel> Traits;
typedef CGAL::Linear_cell_complex<3,3,Traits,Myitem> LCC_3;
typedef LCC_3::Dart_handle Dart_handle;
typedef LCC_3::Point Point;
typedef LCC_3::FT FT;
Dart_handle make_iso_cuboid(LCC_3& lcc, const Point& basepoint, FT lg)
{
return lcc.make_hexahedron(basepoint,
LCC_3::Construct_translated_point()
(basepoint,LCC_3::Vector(lg,0,0)),
LCC_3::Construct_translated_point()
(basepoint,LCC_3::Vector(lg,lg,0)),
LCC_3::Construct_translated_point()
(basepoint,LCC_3::Vector(0,lg,0)),
LCC_3::Construct_translated_point()
(basepoint,LCC_3::Vector(0,lg,lg)),
LCC_3::Construct_translated_point()
(basepoint,LCC_3::Vector(0,0,lg)),
LCC_3::Construct_translated_point()
(basepoint,LCC_3::Vector(lg,0,lg)),
LCC_3::Construct_translated_point()
(basepoint,LCC_3::Vector(lg,lg,lg)));
}
int main()
{
LCC_3 lcc;
// Create 2 cubes.
Dart_handle d1 = make_iso_cuboid(lcc, Point(-2, 0, 0), 1);
Dart_handle d2 = make_iso_cuboid(lcc, Point(0, 0, 0), 1);
// Set the color of all vertices of the first cube to 1
for (LCC_3::One_dart_per_incident_cell_range<0, 3>::iterator
it=lcc.one_dart_per_incident_cell<0,3>(d1).begin(),
itend=lcc.one_dart_per_incident_cell<0,3>(d1).end();
it!=itend; ++it)
{ LCC_3::vertex_attribute(it)->info()=1; }
// Set the color of all vertices of the second cube to 19
for (LCC_3::One_dart_per_incident_cell_range<0, 3>::iterator it=
lcc.one_dart_per_incident_cell<0,3>(d2).begin(),
itend=lcc.one_dart_per_incident_cell<0,3>(d2).end();
it!=itend; ++it)
{ LCC_3::vertex_attribute(it)->info()=19; }
// 3-Sew the two cubes along one facet
lcc.sew<3>(d1->beta(1)->beta(1)->beta(2), d2->beta(2));
// Barycentric triangulation of the facet between the two cubes.
Dart_handle d3=lcc.insert_barycenter_in_cell<2>(d2->beta(2));
// Set the color of the new vertex to 5.
LCC_3::vertex_attribute(d3)->info()=5;
// Display all the vertices of the map.
for (LCC_3::One_dart_per_cell_range<0>::iterator
it=lcc.one_dart_per_cell<0>().begin(),
itend=lcc.one_dart_per_cell<0>().end();
it!=itend; ++it)
{
std::cout<<"point: "<<LCC_3::point(it)<<", "
<<"color: "<<LCC_3::vertex_attribute(it)->info()
<<std::endl;
}
return EXIT_SUCCESS;
}
\end{ccExampleCode}
The output is:
\begin{verbatim}
point: -2 0 0, color: 1
point: -2 0 1, color: 1
point: -1 0 1, color: 10
point: -1 0 0, color: 10
point: -1 1 1, color: 10
point: -1 1 0, color: 10
point: -2 1 1, color: 1
point: -2 1 0, color: 1
point: 1 0 1, color: 19
point: 1 0 0, color: 19
point: 1 1 1, color: 19
point: 1 1 0, color: 19
point: -1 0.5 0.5, color: 5
\end{verbatim}
Before applying the sew operation, the eight vertices of the first
cube are colored by 1, and the eight vertices of the second cube by
19. After the sew operation, there are eight vertices which are merged
two by two, and due to the average functor, the color of the four
resulting vertices are now 10. Then we insert a vertex in the center
of the common 2-cell between the two cubes. The coordinates of this
vertex are initialized with the barycenter of the 2-cell
(-1,0.5,0.5), and its color is not initialize by the method, thus we
set its color manually by using the result of
\ccc{insert_barycenter_in_cell<2>} which is a dart incident to the
new vertex.
\section{Design and Implementation History}
%
This package was develloped by Guillaume Damiand, with the help of
Andreas Fabri, S\'ebastien Loriot and Laurent Rineau. Monique
Teillaud and Bernd Gaertner contributed to the manual.

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@ -1,16 +0,0 @@
\begin{ccPkgDescription}{Linear cell complex\label{Pkg:LinearCellComplex}}
\ccPkgHowToCiteCgal{cgal:d-lcc-10} \ccPkgSummary{This package
implements linear cell complexes, objects in \emph{d}-dimension with
linear geometry. The combinatorial part of object is described by
combinatorial maps, representing all the cells of the object plus
the incidence and adjacency relations between cells. Geometry is
added on combinatorial map simply by associating a \ccc{Point_p} to each
vertex of the map.
Taking a 2D combinatorial map, and using 3D points, gives a
\ccc{Linear_cell_complex} equivalent to a \ccc{Polyhedron_3}.}
\ccPkgIntroducedInCGAL{3.8}
\ccPkgLicense{\ccLicenseLGPL}
\end{ccPkgDescription}

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@ -1,431 +0,0 @@
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104
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/Diagramme_class.fig
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@ -1,104 +0,0 @@
#FIG 3.2 Produced by xfig version 3.2.5b
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4 0 32 50 -1 2 16 0.0000 4 255 2400 90 5400 Combinatorial_map\001
4 0 32 50 -1 2 12 0.0000 4 180 2220 -90 5715 + typedef Items::Dart Dart\001
4 0 32 50 -1 2 12 0.0000 4 180 3120 -90 5940 + typedef Items::Attributes Attributes\001
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2 1 1 2 0 0 35 -1 -1 6.000 0 0 -1 0 0 2
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4 0 0 50 -1 2 12 5.4978 4 135 1440 7785 5445 <<instances Of>>\001
4 0 0 50 -1 2 12 0.0000 4 135 1365 6345 6435 <<instance Of>>\001

291
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/basic-example3D.fig
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@ -1,291 +0,0 @@
#FIG 3.2 Produced by xfig version 3.2.5b
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0 0 2.00 180.00 150.00
2834 700 2746 2383
2 1 0 2 33 0 635 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2746 2383 2520 3472
2 1 0 2 33 0 222 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2520 3472 2603 1646
-6
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 576 299 72 72 576 299 633 343
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 2609 2375 72 72 2609 2375 2667 2420
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 724 2222 72 72 724 2222 782 2267
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 2425 1592 72 72 2425 1592 2481 1636
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 219 1389 72 72 219 1389 276 1434
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 130 3331 72 72 130 3331 187 3377
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 2466 3595 72 72 2466 3595 2524 3640
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 2805 503 72 72 2805 503 2862 547
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
729 2429 642 2318 658 2222
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
884 2116 783 2197
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
604 2084 701 2194
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
2206 3568 2239 3620 2454 3642
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
2382 3319 2441 3367 2454 3589
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
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2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
2720 2528 2647 2409
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
2619 2222 2670 2269 2645 2344
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
2427 2490 2450 2439 2596 2383
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
247 3275 158 3311
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
484 3300 306 3410 159 3385
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
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2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
23 1495 204 1411
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
304 1541 248 1429
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
255 1171 250 1353
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
811 361 739 302 610 297
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
719 582 582 511 579 353
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
457 656 429 516 525 338
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
2588 590 2762 539
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
2614 661 2720 628 2794 562
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
2836 837 2881 739 2843 544
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
2287 1432 2390 1557
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
2631 1534 2478 1553
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
2364 1837 2427 1799 2433 1600
-6
6 5388 266 8318 3673
6 5964 465 7953 2409
2 1 0 1 35 0 949 0 -1 0.000 1 0 7 0 0 2
7051 2409 7025 2216
2 1 0 1 35 0 831 0 -1 0.000 1 0 7 0 0 2
7147 1325 7030 1421
2 1 0 1 35 0 859 0 -1 0.000 1 0 7 0 0 2
5964 1360 6121 1340
2 1 0 4 32 0 839 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7923 2303 6095 495
2 1 0 2 33 0 876 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6095 495 6146 2131
2 1 0 2 33 0 962 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6146 2131 7923 2303
-6
6 5388 491 6028 3206
2 1 0 1 35 0 758 0 -1 0.000 1 0 7 0 0 2
5949 2816 5766 2645
2 1 0 1 35 0 338 0 -1 0.000 1 0 7 0 0 2
5536 2505 5459 2329
2 1 0 1 35 0 449 0 -1 0.000 1 0 7 0 0 2
5866 763 5684 924
2 1 0 2 33 0 452 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5932 506 5403 1398
2 1 0 2 33 0 356 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5403 1398 5510 3191
2 1 0 2 33 0 834 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5993 2158 5932 506
2 1 0 2 33 0 737 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5510 3191 5993 2158
-6
6 5579 335 8119 1557
2 1 0 1 35 0 660 0 -1 0.000 1 0 7 0 0 2
7156 465 7064 422
2 1 0 1 35 0 341 0 -1 0.000 1 0 7 0 0 2
8119 1128 7927 930
2 1 0 1 35 0 77 0 -1 0.000 1 0 7 0 0 2
6707 1557 6678 1325
2 1 0 2 33 0 414 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5594 1230 6104 350
2 1 0 2 33 0 96 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7790 1424 5594 1230
2 1 0 2 33 0 631 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6104 350 8046 496
2 1 0 2 33 0 313 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8046 496 7790 1424
-6
6 6180 316 8204 2246
2 1 0 2 32 0 689 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8124 542 6210 393
2 1 0 2 32 0 776 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8042 2216 8124 542
2 1 0 4 32 0 818 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6210 393 8042 2216
-6
6 5690 2250 8002 3662
2 1 0 1 32 0 455 0 -1 0.000 1 0 7 0 0 2
6591 3482 6694 3480
2 1 0 2 32 0 754 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6166 2322 5705 3367
2 1 0 2 32 0 487 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5705 3367 7708 3593
2 1 0 2 32 0 936 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7955 2498 6166 2322
2 1 0 2 32 0 669 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7708 3593 7955 2498
-6
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 5480 3314 72 72 5480 3314 5536 3359
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 6911 2809 72 72 6911 2809 6969 2854
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 6070 2307 72 72 6070 2307 6128 2352
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 5549 1413 72 72 5549 1413 5607 1457
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 5939 338 72 72 5939 338 5995 382
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 8246 509 72 72 8246 509 8303 554
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 7872 1521 72 72 7872 1521 7930 1566
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 7900 3599 72 72 7900 3599 7956 3644
1 3 0 1 34 34 50 -1 20 0.000 1 0.0000 8012 2393 72 72 8012 2393 8070 2437
2 1 0 3 32 0 259 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5484 1570 6780 2798
2 1 0 1 35 0 209 0 -1 0.000 1 0 7 0 0 2
7953 2579 7791 2617
2 1 0 1 35 0 248 0 -1 0.000 1 0 7 0 0 2
6146 2209 6281 2107
2 1 0 1 35 0 761 0 -1 0.000 1 0 7 0 0 2
8083 1406 8180 1555
2 1 0 1 35 0 666 0 -1 0.000 1 0 7 0 0 2
7841 3015 8032 2879
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
5830 3364 5669 3466 5490 3372
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
5584 3194 5513 3283
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
5575 3034 5654 3245 5523 3316
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
5401 1531 5505 1434
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
5564 1617 5533 1442
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
5738 1465 5720 1411 5572 1402
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
5654 1130 5564 1166 5560 1402
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
6102 2485 6056 2365
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
5985 2140 6043 2280
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
6199 2135 6094 2263
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
6829 2594 6954 2651 6931 2777
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
5855 618 5802 486 5915 327
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
6234 346 6107 280 5962 310
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
6253 445 6148 435 5977 322
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
6121 649 6036 610 5942 365
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
8068 529 8218 473
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
8012 626 8246 539
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
8237 835 8277 707 8250 547
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
7689 1413 7723 1487 7834 1516
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
7825 1759 7880 1694 7849 1572
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
8017 1555 7876 1529
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
8055 2103 8101 2174 8022 2360
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
8134 2408 8040 2375
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
7867 2492 7966 2408
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
7721 3479 7876 3591
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
7647 3604 7740 3673 7861 3622
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 3
7942 3291 8012 3421 7910 3595
2 1 0 2 33 0 635 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8137 2369 7912 3457
2 1 0 2 33 0 334 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7995 1631 8226 686
2 1 0 2 33 0 737 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8226 686 8137 2369
2 1 0 2 32 0 57 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5613 1460 7829 1659
2 1 0 2 32 0 307 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5587 3370 5484 1570
2 1 0 2 32 0 422 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7759 3617 5587 3370
2 1 0 2 32 0 173 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7829 1659 7759 3627
2 1 0 4 32 0 231 0 -1 0.000 1 0 7 1 0 3
0 0 2.00 180.00 150.00
6770 2781 6860 2656 5613 1460
2 1 0 1 36 34 55 -1 -1 0.000 0 0 -1 0 0 2
7887 2240 7984 2352
2 1 0 2 33 0 232 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7912 3457 7995 1631
4 0 0 50 -1 0 21 0.0000 4 225 540 6034 2898 dh4\001
4 0 0 50 -1 0 21 0.0000 4 240 540 6890 1031 dh5\001
-6
4 0 0 50 -1 0 15 0.0000 4 210 3000 3557 4244 remove_cell<LCC,1>(lcc,dh5)\001
4 0 0 50 -1 0 21 0.0000 4 225 540 1343 2021 dh1\001
4 0 0 50 -1 0 21 0.0000 4 225 540 1982 1036 dh3\001
4 0 0 50 -1 0 21 0.0000 4 225 540 833 1028 dh2\001
4 0 0 50 -1 0 15 0.0000 4 210 3000 3391 3950 remove_cell<LCC,1>(lcc,dh4)\001
4 0 0 50 -1 0 21 0.0000 4 225 180 6994 3030 p\001
4 0 0 50 -1 0 15 0.0000 4 225 4815 1927 -90 dh4=lcc.insert_dangling_cell_1_in_cell_2(dh1,p)\001
4 0 0 50 -1 0 15 0.0000 4 210 4830 2211 210 dh5=insert_cell_1_in_cell_2<LCC>(lcc,dh2,dh3)\001

602
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/insert-vertex.fig
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@ -1,602 +0,0 @@
#FIG 3.2 Produced by xfig version 3.2.5b
Portrait
Center
Metric
A4
100.00
Single
-2
1200 2
0 32 #000000
0 33 #9f9f9f
0 34 #000000
0 35 #575757
0 36 #5e5e5e
0 37 #535353
0 38 #787878
0 39 #ff0000
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2 0 2.00 180.00 150.00
5 1 0 2 0 7 50 -1 -1 0.000 0 0 1 0 4402.683 3078.407 3330 1400 4358 1087 5515 1426
2 0 2.00 180.00 150.00
6 5029 1179 7818 4138
6 5029 1935 6935 4062
2 1 0 2 36 0 545 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
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2 1 0 2 36 0 333 0 -1 0.000 1 0 7 1 0 2
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2 1 0 2 36 0 345 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6876 2302 6842 4047
2 1 0 2 36 0 557 0 -1 0.000 1 0 7 1 0 2
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6842 4047 5215 3598
-6
6 5042 1298 6061 3504
2 1 0 2 36 0 840 0 -1 0.000 1 0 7 1 0 2
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6002 2770 5967 1313
2 1 0 2 36 0 667 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5967 1313 5057 1864
2 1 0 2 36 0 595 0 -1 0.000 1 0 7 1 0 2
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5057 1864 5168 3489
-6
6 6090 1231 7786 3111
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6163 1292 6183 2742
2 1 0 2 36 0 775 0 -1 0.000 1 0 7 1 0 2
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7618 3064 7707 1537
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6183 2742 7618 3064
-6
6 5174 1179 7678 2097
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6954 2067 5189 1735
2 1 0 2 36 0 635 0 -1 0.000 1 0 7 1 0 2
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5189 1735 6092 1194
2 1 0 2 36 0 731 0 -1 0.000 1 0 7 1 0 2
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7351 1717 6954 2067
-6
6 7023 1595 7818 4018
2 1 0 2 32 0 450 0 -1 0.000 1 0 7 1 0 2
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2 1 0 2 36 0 365 0 -1 0.000 1 0 7 1 0 2
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2 1 0 2 32 0 450 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7497 1903 7798 1615
-6
6 5293 2870 7576 4138
2 1 0 2 36 0 842 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
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2 1 0 2 36 0 922 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7561 3252 6123 2917
2 1 0 2 36 0 687 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6906 4100 7561 3252
2 1 0 2 36 0 607 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5308 3656 6906 4100
-6
-6
6 7181 1545 9466 4258
6 7446 3272 9449 4258
2 1 0 2 36 0 635 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8062 3367 7461 4243
2 1 0 2 36 0 596 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9434 3335 8062 3367
2 1 0 2 36 0 420 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7461 4243 9434 3335
-6
6 7969 1625 9432 3234
2 1 0 2 36 0 730 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8170 1640 8045 3193
2 1 0 2 36 0 517 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9417 3138 8170 1640
2 1 0 2 36 0 606 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8045 3193 9417 3138
-6
6 7181 1633 8071 4085
2 1 0 2 32 0 421 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7689 1965 7344 2319
2 1 0 2 36 0 334 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7344 2319 7264 4070
2 1 0 2 36 0 632 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7264 4070 7878 3208
2 1 0 2 36 0 719 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7878 3208 7995 1648
2 1 0 2 32 0 421 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7982 1660 7687 1967
-6
6 7366 2395 9397 4193
2 1 0 2 36 0 297 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7381 4178 7466 2410
2 1 0 2 36 0 257 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7466 2410 9382 3255
2 1 0 2 36 0 381 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9382 3255 7381 4178
-6
6 7531 1545 9466 3089
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0 0 2.00 180.00 150.00
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2 1 0 2 32 0 398 0 -1 0.000 1 0 7 1 0 2
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2 1 0 2 32 0 398 0 -1 0.000 1 0 7 1 0 2
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7551 2214 7853 1903
-6
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 1
7834 3634
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
8679 3127 8685 3377
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
8333 3694 8428 3850
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
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2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
8375 2570 8258 2802
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
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2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
7898 2478 8130 2524
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
7537 3620 7854 3728
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
7668 1961 7808 1953
-6
6 67 1048 4643 4128
6 67 1048 2857 4007
6 214 1048 2732 1966
2 1 0 5 32 0 448 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2702 1307 1993 1936
2 1 0 2 36 0 351 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1993 1936 229 1604
2 1 0 2 36 0 635 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
229 1604 1131 1063
2 1 0 2 36 0 731 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1131 1063 2702 1307
-6
6 67 1804 1974 3931
2 1 0 2 36 0 545 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
254 3468 146 1819
2 1 0 2 36 0 333 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
146 1819 1915 2171
2 1 0 2 36 0 345 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1915 2171 1881 3916
2 1 0 2 36 0 557 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1881 3916 254 3468
-6
6 82 1168 1100 3373
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207 3358 1041 2639
2 1 0 2 36 0 913 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
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0 0 2.00 180.00 150.00
1006 1183 97 1733
2 1 0 2 36 0 595 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
97 1733 207 3358
-6
6 332 2739 2615 4007
2 1 0 2 36 0 842 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1162 2786 347 3525
2 1 0 2 36 0 922 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2600 3122 1162 2786
2 1 0 2 36 0 687 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1945 3969 2600 3122
2 1 0 2 36 0 607 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
347 3525 1945 3969
-6
6 2062 1464 2857 3887
2 1 0 2 32 0 450 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
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2 1 0 2 36 0 365 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2102 3872 2158 2136
2 1 0 2 36 0 656 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2744 3027 2102 3872
2 1 0 2 36 0 741 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2842 1479 2744 3027
-6
6 1129 1100 2825 2980
2 1 0 2 36 0 925 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1202 1161 1222 2611
2 1 0 2 36 0 775 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2746 1406 1202 1161
2 1 0 2 36 0 783 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2657 2933 2746 1406
2 1 0 2 36 0 933 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1222 2611 2657 2933
-6
-6
6 2220 1414 4505 4128
6 2220 1502 3110 3954
2 1 0 2 32 0 421 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
3034 1517 2383 2189
2 1 0 2 36 0 334 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2383 2189 2303 3939
2 1 0 2 36 0 632 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2303 3939 2917 3078
2 1 0 2 36 0 719 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2917 3078 3034 1517
-6
6 2570 1414 4505 2958
2 1 0 2 36 0 481 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
3227 1429 4490 2943
2 1 0 2 36 0 269 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4490 2943 2585 2092
2 1 0 2 32 0 398 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2585 2092 3227 1429
-6
6 2485 3141 4488 4128
2 1 0 2 36 0 635 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
3101 3236 2500 4113
2 1 0 2 36 0 596 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4473 3205 3101 3236
2 1 0 2 36 0 420 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2500 4113 4473 3205
-6
6 3008 1494 4471 3104
2 1 0 2 36 0 730 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
3209 1509 3084 3063
2 1 0 2 36 0 517 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4456 3007 3209 1509
2 1 0 2 36 0 606 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
3084 3063 4456 3007
-6
6 2405 2264 4436 4062
2 1 0 2 36 0 297 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2420 4047 2505 2279
2 1 0 2 36 0 257 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2505 2279 4421 3124
2 1 0 2 36 0 381 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4421 3124 2420 4047
-6
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 1
2873 3503
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
3718 2996 3724 3246
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
3372 3563 3467 3719
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
2330 2964 2478 3015
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
3414 2439 3297 2671
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
3740 2197 3849 2127
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
2937 2347 3169 2394
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
2576 3489 2893 3597
2 1 0 2 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
2707 1830 2847 1823
-6
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 303 1751 75 75 303 1751 378 1751
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 1106 1223 75 75 1106 1223 1182 1223
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 1142 2685 75 75 1142 2685 1217 2685
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 154 3503 75 75 154 3503 230 3503
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 2869 3000 75 75 2869 3000 2945 3000
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 2950 1379 75 75 2950 1379 3025 1379
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 2282 1984 75 75 2282 1984 2358 1984
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 4568 3109 75 75 4568 3109 4644 3109
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 2136 4026 75 75 2136 4026 2212 4026
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
1320 1797 1183 2073
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
591 2973 831 3130
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
1843 2712 1788 2973
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
2236 3537 2366 3537
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
1189 3695 1031 3737
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
1816 1149 1891 1307
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
2373 1569 2566 1809
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 3
762 1272 762 1307 762 1341
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 4
115 2518 149 2532 171 2567 205 2581
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
996 1873 1202 1816
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
1876 2909 2180 2918
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
2648 2250 2820 2270
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
207 1829 264 1761
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
303 1552 406 1613 334 1716
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
98 1782 281 1736
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
1028 2551 1110 2649
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
1290 2625 1188 2664
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
1120 2820 1131 2699
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
239 3364 168 3507
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
264 3296 334 3364 197 3488
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
402 3544 278 3602 203 3513
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
915 1240 960 1328 1085 1247
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
1208 1332 1124 1254
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
1212 1077 1113 1184
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
2688 1399 2907 1370
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
2685 1338 2907 1338
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
2840 1561 2903 1413
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
2967 1569 2925 1409
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
3265 1469 3211 1370 2961 1367
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
3201 1633 3003 1409
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2199 2088 2175 2035 2218 1992
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
1916 2246 2246 2166 2275 2028
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
1906 1922 1966 1975 2249 1967
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2376 2262 2320 2190 2285 2020
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2649 2038 2480 1971 2312 1967
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2558 2303 2560 2207 2295 1981
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
2656 2824 2840 2952
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
2932 2860 2858 2956
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2692 3083 2745 3093 2812 3026
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2542 3110 2624 3036 2829 2993
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
3149 3061 3084 3104 2911 2991
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
3074 3274 2903 3026
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
1998 3899 2111 4020
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2093 3772 2076 3881 2132 3987
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
1772 3889 1803 4033 2093 4030
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2363 3864 2370 3928 2136 3994
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
2427 3955 2197 4023
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
2614 4062 2447 4076 2182 4030
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
4292 2849 4274 2899 4575 3118
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
4426 2956 4510 2970 4567 3075
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
4355 3161 4522 3129
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
4277 3213 4294 3239 4561 3157
4 0 0 50 -1 0 16 0.0000 4 195 420 1866 1662 dh1\001
-6
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 9535 3237 75 75 9535 3237 9611 3237
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 7977 1460 75 75 7977 1460 8053 1460
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 7628 1775 75 75 7628 1775 7703 1775
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 7234 2317 75 75 7234 2317 7310 2317
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 6011 1111 75 75 6011 1111 6086 1111
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 6099 2821 75 75 6099 2821 6174 2821
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 7847 3092 75 75 7847 3092 7922 3092
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 7121 4208 75 75 7121 4208 7196 4208
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 5118 3664 75 75 5118 3664 5193 3664
1 3 0 1 38 38 50 -1 20 0.000 1 0.0000 4966 1764 75 75 4966 1764 5041 1764
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
6281 1928 6144 2204
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
5552 3104 5792 3261
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
6804 2843 6749 3104
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
7196 3667 7327 3667
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
6150 3826 5992 3867
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
6776 1279 6852 1438
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 3
5723 1403 5723 1438 5723 1472
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 4
5076 2649 5110 2663 5132 2698 5166 2712
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
5957 2004 6163 1947
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
6837 3040 7141 3049
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
7609 2381 7781 2401
2 1 0 1 33 36 45 -1 -1 0.000 0 0 -1 0 0 2
7483 1550 7677 1790
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
5068 1965 5011 1937 4968 1806
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
5163 1958 4983 1785
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
5262 1682 5003 1742
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
6168 1201 6045 1121
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
6162 1369 6016 1135
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
5914 1351 6006 1142
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7658 1527 7935 1478
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7623 1478 7956 1432
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7800 1708 7938 1488
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7935 1694 7959 1503
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
8157 1743 8001 1503
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
8224 1599 8186 1470 8019 1474
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7531 1877 7500 1820 7574 1742
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7326 1770 7595 1738
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7648 2007 7623 1820
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7906 1855 7640 1781
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
6866 2053 6909 2121 7254 2319
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7215 2160 7244 2277
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7588 2170 7396 2134 7244 2262
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7332 2456 7248 2333
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
6880 2390 7198 2316
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7566 2450 7500 2357 7272 2326
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
5992 2650 6101 2798
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
6271 2760 6133 2802
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
6048 2978 6072 2837
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
5237 3432 5251 3499 5138 3641
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
5405 3693 5305 3728 5132 3689
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
5210 3480 5107 3611
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
6958 4023 7120 4208
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7071 3836 6989 3900 7120 4148
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
6766 4023 6788 4165 7092 4226
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7332 3971 7322 4074 7149 4176
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7389 4098 7152 4197
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7562 4201 7502 4289 7117 4232
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7669 3207 7839 3153
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7484 3229 7588 3164 7824 3112
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7623 2983 7824 3069
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
7899 2938 7843 2962 7832 3034
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
7987 3465 7878 3094
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
8140 3190 8037 3235 7888 3100
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
9279 2995 9297 3061 9519 3221
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 3
9357 3061 9499 3100 9534 3186
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
9300 3291 9499 3281
2 1 0 1 39 7 55 -1 -1 0.000 0 0 -1 0 0 2
9283 3330 9530 3295
4 0 0 50 -1 0 16 0.0000 4 195 420 6718 1863 dh2\001
4 0 0 50 -1 0 16 0.0000 4 255 4320 2700 4500 CGAL::remove_cell<LCC,0>(lcc,dh2)\001
4 0 0 50 -1 0 16 0.0000 4 255 4890 2745 945 dh2=lcc.insert_barycenter_in_cell<1>(dh1)\001

213
Linear_cell_complex/doc_tex/Linear_cell_complex/fig/intuitif-example-lcc-object.fig
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@ -1,213 +0,0 @@
#FIG 3.2 Produced by xfig version 3.2.5b
Portrait
Center
Metric
A4
100.00
Single
-2
1200 2
0 32 #000000
0 33 #505050
0 34 #ffffff
0 35 #808080
0 38 #000000
0 49 #dddddd
6 -2 1632 3997 4165
6 -2 1632 2576 2525
2 1 0 3 38 34 541 0 -1 0.000 1 0 7 0 0 2
1908 2510 2561 1847
2 1 0 3 38 34 541 0 -1 0.000 1 0 7 0 0 2
13 2218 1908 2510
2 1 0 3 38 34 541 0 -1 0.000 1 0 7 0 0 2
938 1647 13 2218
2 1 0 3 38 34 541 0 -1 0.000 1 0 7 0 0 2
2561 1847 938 1647
2 1 0 3 32 34 542 0 20 0.000 1 0 7 0 0 5
2561 1847 1908 2510 13 2218 938 1647 2561 1847
-6
6 -2 2203 3639 4165
2 1 0 3 38 34 396 0 -1 0.000 1 0 7 0 0 2
1908 2510 13 2218
2 1 0 3 38 34 396 0 -1 0.000 1 0 7 0 0 2
3624 4150 1908 2510
2 1 0 3 38 34 396 0 -1 0.000 1 0 7 0 0 2
13 2218 3624 4150
2 1 0 3 32 34 397 0 20 0.000 1 0 7 0 0 4
13 2218 1908 2510 3624 4150 13 2218
-6
6 -2 1632 3997 4165
2 1 0 3 38 34 457 0 -1 0.000 1 0 7 0 0 2
3624 4150 13 2218
2 1 0 3 38 34 457 0 -1 0.000 1 0 7 0 0 2
3982 3157 3624 4150
2 1 0 3 38 34 457 0 -1 0.000 1 0 7 0 0 2
938 1647 3982 3157
2 1 0 3 38 34 457 0 -1 0.000 1 0 7 0 0 2
13 2218 938 1647
2 1 0 3 32 34 458 0 20 0.000 1 0 7 0 0 5
13 2218 3624 4150 3982 3157 938 1647 13 2218
-6
6 1893 1832 3997 4165
2 1 0 3 38 34 611 0 -1 0.000 1 0 7 0 0 2
2561 1847 1908 2510
2 1 0 3 38 34 611 0 -1 0.000 1 0 7 0 0 2
3982 3157 2561 1847
2 1 0 3 38 34 611 0 -1 0.000 1 0 7 0 0 2
3624 4150 3982 3157
2 1 0 3 38 34 611 0 -1 0.000 1 0 7 0 0 2
1908 2510 3624 4150
2 1 0 3 32 34 612 0 20 0.000 1 0 7 0 0 5
1908 2510 2561 1847 3982 3157 3624 4150 1908 2510
-6
6 923 1632 3997 3172
2 1 0 3 38 34 915 0 -1 0.000 1 0 7 0 0 2
938 1647 2561 1847
2 1 0 3 38 34 915 0 -1 0.000 1 0 7 0 0 2
3982 3157 938 1647
2 1 0 3 38 34 915 0 -1 0.000 1 0 7 0 0 2
2561 1847 3982 3157
2 1 0 3 32 34 916 0 20 0.000 1 0 7 0 0 4
2561 1847 938 1647 3982 3157 2561 1847
-6
-6
6 -2 -2 2624 2525
6 -2 1632 2576 2525
2 1 0 3 38 33 541 0 -1 0.000 1 0 7 0 0 2
1908 2510 13 2218
2 1 0 3 38 33 541 0 -1 0.000 1 0 7 0 0 2
2561 1847 1908 2510
2 1 0 3 38 33 541 0 -1 0.000 1 0 7 0 0 2
938 1647 2561 1847
2 1 0 3 38 33 541 0 -1 0.000 1 0 7 0 0 2
13 2218 938 1647
2 1 0 3 32 33 542 0 20 0.000 1 0 7 0 0 5
13 2218 1908 2510 2561 1847 938 1647 13 2218
-6
6 1893 -2 2624 2525
2 1 0 3 38 33 368 0 -1 0.000 1 0 7 0 0 2
1908 2510 2561 1847
2 1 0 3 38 33 368 0 -1 0.000 1 0 7 0 0 2
1911 299 1908 2510
2 1 0 3 38 33 368 0 -1 0.000 1 0 7 0 0 2
2609 13 1911 299
2 1 0 3 38 33 368 0 -1 0.000 1 0 7 0 0 2
2561 1847 2609 13
2 1 0 3 32 33 369 0 20 0.000 1 0 7 0 0 5
2561 1847 1908 2510 1911 299 2609 13 2561 1847
-6
6 923 -2 2624 1862
2 1 0 3 38 33 740 0 -1 0.000 1 0 7 0 0 2
2609 13 2561 1847
2 1 0 3 38 33 740 0 -1 0.000 1 0 7 0 0 2
938 1647 2609 13
2 1 0 3 38 33 740 0 -1 0.000 1 0 7 0 0 2
2561 1847 938 1647
2 1 0 3 32 33 741 0 20 0.000 1 0 7 0 0 4
2561 1847 2609 13 938 1647 2561 1847
-6
6 -2 284 1926 2525
2 1 0 3 38 33 396 0 -1 0.000 1 0 7 0 0 2
13 2218 1908 2510
2 1 0 3 38 33 396 0 -1 0.000 1 0 7 0 0 2
1911 299 13 2218
2 1 0 3 38 33 396 0 -1 0.000 1 0 7 0 0 2
1908 2510 1911 299
2 1 0 3 32 33 397 0 20 0.000 1 0 7 0 0 4
1908 2510 13 2218 1911 299 1908 2510
-6
6 -2 -2 2624 2233
2 1 0 3 38 33 505 0 -1 0.000 1 0 7 0 0 2
13 2218 1911 299
2 1 0 3 38 33 505 0 -1 0.000 1 0 7 0 0 2
938 1647 13 2218
2 1 0 3 38 33 505 0 -1 0.000 1 0 7 0 0 2
2609 13 938 1647
2 1 0 3 38 33 505 0 -1 0.000 1 0 7 0 0 2
1911 299 2609 13
2 1 0 3 32 33 506 0 20 0.000 1 0 7 0 0 5
1911 299 13 2218 938 1647 2609 13 1911 299
-6
-6
6 1893 -2 3997 4165
6 1893 1832 3997 4165
2 1 0 3 38 0 409 0 -1 0.000 1 0 7 0 0 2
1908 2510 2561 1847
2 1 0 3 38 0 409 0 -1 0.000 1 0 7 0 0 2
3624 4150 1908 2510
2 1 0 3 38 0 409 0 -1 0.000 1 0 7 0 0 2
3982 3157 3624 4150
2 1 0 3 38 0 409 0 -1 0.000 1 0 7 0 0 2
2561 1847 3982 3157
2 1 0 3 32 49 410 0 20 0.000 1 0 7 0 0 5
2561 1847 1908 2510 3624 4150 3982 3157 2561 1847
-6
6 1893 284 3639 4165
2 1 0 3 38 0 198 0 -1 0.000 1 0 7 0 0 2
1908 2510 3624 4150
2 1 0 3 38 0 198 0 -1 0.000 1 0 7 0 0 2
1911 299 1908 2510
2 1 0 3 38 0 198 0 -1 0.000 1 0 7 0 0 2
3624 4150 1911 299
2 1 0 3 32 49 199 0 20 0.000 1 0 7 0 0 4
3624 4150 1908 2510 1911 299 3624 4150
-6
6 1896 -2 3997 4165
2 1 0 3 38 0 257 0 -1 0.000 1 0 7 0 0 2
1911 299 3624 4150
2 1 0 3 38 0 257 0 -1 0.000 1 0 7 0 0 2
2609 13 1911 299
2 1 0 3 38 0 257 0 -1 0.000 1 0 7 0 0 2
3982 3157 2609 13
2 1 0 3 38 0 257 0 -1 0.000 1 0 7 0 0 2
3624 4150 3982 3157
2 1 0 3 32 49 258 0 20 0.000 1 0 7 0 0 5
3624 4150 1911 299 2609 13 3982 3157 3624 4150
-6
6 1893 -2 2624 2525
2 1 0 3 38 0 584 0 -1 0.000 1 0 7 0 0 2
2561 1847 1908 2510
2 1 0 3 38 0 584 0 -1 0.000 1 0 7 0 0 2
2609 13 2561 1847
2 1 0 3 38 0 584 0 -1 0.000 1 0 7 0 0 2
1911 299 2609 13
2 1 0 3 38 0 584 0 -1 0.000 1 0 7 0 0 2
1908 2510 1911 299
2 1 0 3 32 49 585 0 20 0.000 1 0 7 0 0 5
1908 2510 2561 1847 2609 13 1911 299 1908 2510
-6
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2 0 1.00 210.00 210.00
5 1 0 3 0 7 50 -1 -1 0.000 0 0 1 0 5558.766 -2165.193 7505 3338 5883 3663 4329 3541
2 0 1.00 210.00 210.00
6 5378 520 10598 3747
6 5470 520 8385 3199
6 5596 520 8217 1017
2 1 0 2 32 0 462 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7246 984 5611 812
2 1 0 2 32 0 725 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5611 812 6717 569
2 1 0 2 32 0 799 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6717 569 8202 695
2 1 0 2 32 0 537 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8202 695 7246 984
-6
6 5522 640 6741 2719
2 1 0 2 32 0 857 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5671 2704 6705 2232
2 1 0 2 32 0 943 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6705 2232 6645 655
2 1 0 2 32 0 741 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6645 655 5537 910
2 1 0 2 32 0 656 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5537 910 5671 2704
-6
6 5470 921 7312 3101
2 1 0 2 32 0 627 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5683 2751 5547 936
2 1 0 2 32 0 599 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7227 3086 5683 2751
2 1 0 2 32 0 421 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7186 1120 7227 3086
2 1 0 2 32 0 449 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5547 936 7186 1120
-6
6 6730 575 8333 2523
2 1 0 2 32 0 821 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8246 781 6773 649
2 1 0 2 32 0 801 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8222 2466 8246 781
2 1 0 2 32 0 929 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6827 2222 8222 2466
2 1 0 2 32 0 949 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6773 649 6827 2222
-6
6 5741 2271 8193 3199
2 1 0 2 32 0 855 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
6780 2328 5756 2814
2 1 0 2 32 0 920 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8178 2581 6780 2328
2 1 0 2 32 0 691 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7287 3151 8178 2581
2 1 0 2 32 0 626 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
5756 2814 7287 3151
-6
6 7349 1922 8293 3167
2 1 0 4 35 0 678 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8263 2566 7379 3137
2 1 0 4 35 0 732 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7855 1952 8263 2566
2 1 0 4 35 0 571 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7379 3137 7855 1952
-6
6 7220 1094 7851 3124
2 1 0 4 35 0 416 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7340 3094 7307 1124
2 1 0 4 35 0 470 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7307 1124 7821 1901
2 1 0 4 35 0 552 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7821 1901 7340 3094
-6
6 7317 715 8283 1829
2 1 0 4 35 0 528 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7347 1033 8245 752
2 1 0 4 35 0 479 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7845 1795 7347 1033
2 1 0 4 35 0 663 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8253 745 7834 1799
-6
6 7859 763 8385 2519
2 1 0 4 36 0 680 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7889 1868 8320 793
2 1 0 4 35 0 738 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8292 2489 7889 1868
2 1 0 4 35 0 787 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8320 793 8292 2489
-6
-6
6 7415 697 10564 3703
6 7415 1163 8000 3079
2 1 0 4 35 0 390 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7524 1215 7504 3026
2 1 0 4 35 0 445 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7970 1919 7510 1193
2 1 0 4 35 0 529 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7503 3049 7962 1894
-6
6 7530 736 8429 1823
2 1 0 4 35 0 454 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7560 1056 8019 1793
2 1 0 4 35 0 504 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8392 783 7560 1056
2 1 0 4 35 0 641 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8004 1788 8399 766
-6
6 7548 2014 8434 3211
2 1 0 4 35 0 548 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8024 2044 7578 3181
2 1 0 4 35 0 657 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7578 3181 8388 2632
2 1 0 4 35 0 711 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8404 2663 8012 2046
-6
6 9646 1490 10104 3630
2 1 0 4 35 0 104 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9680 3600 9817 1528
2 1 0 4 36 0 276 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10065 2322 9680 3600
2 1 0 4 35 0 172 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9805 1520 10074 2353
-6
6 9723 2401 10327 3631
2 1 0 4 35 0 432 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10283 2977 9755 3599
2 1 0 4 35 0 299 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9753 3601 10108 2438
2 1 0 4 35 0 498 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10113 2431 10295 3015
-6
6 10151 1070 10564 2879
2 1 0 4 35 0 567 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10531 1120 10347 2849
2 1 0 4 35 0 507 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10347 2849 10203 2227
2 1 0 4 35 0 435 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10181 2264 10531 1100
-6
6 9829 908 10495 2175
2 1 0 4 35 0 243 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9862 1302 10451 938
2 1 0 4 35 0 414 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10465 938 10126 2145
2 1 0 4 35 0 182 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10126 2145 9862 1302
-6
6 7515 1152 9700 3605
2 1 0 2 32 0 334 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9548 3590 7618 3171
2 1 0 2 32 0 110 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9685 1401 9548 3590
2 1 0 2 32 0 145 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7604 1167 9685 1401
2 1 0 2 32 0 369 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7618 3171 7604 1167
-6
6 7648 697 10408 1260
2 1 0 2 32 0 581 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8575 726 10393 881
2 1 0 2 32 0 489 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7663 1027 8575 726
2 1 0 2 32 0 162 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9737 1245 7663 1027
2 1 0 2 32 0 254 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10393 881 9737 1245
-6
6 8484 740 10486 2878
2 1 0 2 32 0 764 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8615 814 8570 2526
2 1 0 2 32 0 739 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8570 2526 10255 2821
2 1 0 2 32 0 584 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10255 2821 10413 974
2 1 0 2 32 0 609 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10413 974 8615 814
-6
6 8052 780 8594 2550
2 1 0 4 35 0 718 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8082 1896 8470 2520
2 1 0 4 35 0 659 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8509 810 8082 1896
2 1 0 4 35 0 767 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8470 2520 8509 810
-6
6 7659 2587 10232 3703
2 1 0 2 32 0 447 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
9583 3655 10217 2950
2 1 0 2 32 0 367 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
7674 3236 9583 3655
2 1 0 2 32 0 649 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
8527 2644 7674 3236
2 1 0 2 32 0 729 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
10217 2950 8527 2644
-6
-6
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 8324 670 60 60 8324 670 8384 670
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 10538 845 60 60 10538 845 10598 845
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 9757 1322 60 60 9757 1322 9817 1322
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 7468 1072 60 60 7468 1072 7528 1072
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 7894 1872 60 60 7894 1872 7954 1872
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 6724 639 60 60 6724 639 6784 639
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 5438 871 60 60 5438 871 5498 871
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 6773 2253 60 60 6773 2253 6833 2253
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 5603 2803 60 60 5603 2803 5663 2803
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 8313 2572 60 60 8313 2572 8373 2572
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 7407 3203 60 60 7407 3203 7467 3203
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 10231 2183 60 60 10231 2183 10291 2183
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 10440 2895 60 60 10440 2895 10500 2895
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 9652 3687 60 60 9652 3687 9712 3687
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
6552 675 6573 628 6741 618
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
6769 758 6710 637
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
6814 576 6755 644
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7201 975 7227 1022 7427 1074
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7538 972 7491 1043
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7401 1267 7451 1104
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7595 1121 7481 1067
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7524 1236 7463 1102
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7720 1182 7635 1083 7496 1064
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7781 989 7470 1050
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7191 1206 7451 1081
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8078 764 8297 679
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8618 729 8543 663 8368 660
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8382 776 8342 691
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8229 793 8321 708
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8319 943 8352 851 8333 721
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8477 891 8420 735 8352 686
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8623 884 8512 695 8342 679
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8076 730 8076 662 8316 650
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7802 1728 7819 1816 7866 1851
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7795 1945 7875 1901
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7887 1997 7892 1903
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7998 1870 7925 1865
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8080 1776 7927 1842
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8104 1941 7937 1896
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8005 2108 7904 1898
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7904 1791 7859 1801 7878 1839
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7161 3069 7156 3164 7371 3223
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7333 3041 7309 3091 7382 3173
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7301 3142 7382 3215
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7753 3256 7637 3282 7413 3223
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
7394 3068 7413 3176
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7576 3047 7562 3162 7430 3179
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7642 3136 7616 3219 7439 3218
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
7618 3133 7569 3187 7437 3196
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
6710 2166 6764 2227
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
6927 2236 6790 2251
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
6705 2368 6743 2281
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
5681 2708 5617 2795
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
5832 2831 5747 2859 5627 2828
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
5721 2682 5733 2712 5636 2804
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
5539 929 5412 873
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
5606 943 5547 875 5452 861
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
5756 776 5518 797 5464 835
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
10308 929 10530 856
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
10355 967 10534 861
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
10490 984 10530 955 10534 873
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
10506 1166 10579 1109 10556 866
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
9643 1239 9718 1298
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
9683 1451 9714 1442 9751 1338
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
9900 1272 9829 1265 9773 1298
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
9850 1451 9843 1359 9770 1319
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
10261 2731 10442 2859
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
10310 2710 10442 2760 10435 2873
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
10294 2993 10369 2998 10417 2939
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
10134 2944 10216 2915 10438 2906
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
9631 3599 9655 3661
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
9445 3564 9487 3722 9631 3698
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
9683 3507 9643 3547 9678 3656
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
9768 3535 9690 3653
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
10077 2307 10223 2186
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
10176 2443 10218 2222
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
10171 2096 10244 2179
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
10100 2044 10190 2179
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8124 2568 8167 2546 8296 2554
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8183 2611 8285 2609
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8389 2519 8336 2545
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8423 2716 8330 2590
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8474 2469 8527 2540 8351 2571
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
8632 2538 8497 2603 8343 2591
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8220 2432 8312 2576
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
8281 2469 8318 2559
-6
6 -526 -70 4948 3854
6 1949 418 4885 3770
6 1949 482 2794 3160
2 1 0 4 35 0 390 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2033 1470 2040 3130
2 1 0 4 35 0 424 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2712 512 2033 1470
2 1 0 4 35 0 746 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2649 2059 2712 512
2 1 0 4 35 0 712 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2040 3130 2649 2059
-6
6 4169 847 4885 3704
2 1 0 4 36 0 206 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4205 3674 4504 1970
2 1 0 4 35 0 610 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4855 877 4558 2472
2 1 0 4 35 0 245 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4504 1970 4855 877
2 1 0 4 35 0 571 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4558 2472 4205 3674
-6
6 2127 2106 4477 3770
2 1 0 2 32 0 822 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4444 2528 2736 2156
2 1 0 2 32 0 594 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4076 3728 4444 2528
2 1 0 2 32 0 492 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2142 3236 4076 3728
2 1 0 2 32 0 719 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2736 2156 2142 3236
-6
6 2014 1541 4362 3738
2 1 0 2 32 0 190 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4347 2015 4066 3723
2 1 0 2 32 0 95 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2105 1556 4347 2015
2 1 0 2 32 0 358 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2104 3224 2105 1556
2 1 0 2 32 0 453 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4066 3723 2104 3224
-6
6 2687 425 4816 2443
2 1 0 2 32 0 636 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4475 2393 4759 807
2 1 0 2 32 0 567 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4759 807 2844 484
2 1 0 2 32 0 757 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2844 484 2768 2027
2 1 0 2 32 0 825 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2768 2027 4475 2393
-6
6 2134 418 4774 1849
2 1 0 2 32 0 531 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2818 433 4759 758
2 1 0 2 32 0 397 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2149 1388 2818 433
2 1 0 2 32 0 100 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4390 1834 2149 1388
2 1 0 2 32 0 234 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
4759 758 4390 1834
-6
-6
6 -363 62 2543 3171
6 -358 139 766 2612
2 1 0 2 32 0 851 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
-77 2597 751 1650
2 1 0 2 32 0 568 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
-343 989 -77 2597
2 1 0 2 32 0 598 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
608 154 -343 989
2 1 0 2 32 0 881 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
751 1650 608 154
-6
6 -275 62 2407 1306
2 1 0 2 32 0 691 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
689 77 2392 362
2 1 0 2 32 0 433 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2392 362 1663 1291
2 1 0 2 32 0 317 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1663 1291 -260 908
2 1 0 2 32 0 575 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
-260 908 689 77
-6
6 10 1692 2374 3171
2 1 0 2 32 0 747 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1718 3129 2359 2073
2 1 0 2 32 0 656 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
25 2698 1718 3129
2 1 0 2 32 0 857 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
839 1742 25 2698
2 1 0 2 32 0 948 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2359 2073 839 1742
-6
6 -363 1049 1757 3130
2 1 0 2 32 0 395 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1619 1457 1674 3115
2 1 0 2 32 0 312 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
-305 1064 1619 1457
2 1 0 2 32 0 540 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
-40 2680 -305 1064
2 1 0 2 32 0 623 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1674 3115 -40 2680
-6
6 742 92 2481 1975
2 1 0 1 32 0 783 0 -1 0.000 1 0 7 1 0 2
0 0 1.00 120.00 120.00
2391 1946 2424 413
2 1 0 1 32 0 951 0 -1 0.000 1 0 7 1 0 2
0 0 1.00 120.00 120.00
872 1621 2391 1946
2 1 0 1 32 0 890 0 -1 0.000 1 0 7 1 0 2
0 0 1.00 120.00 120.00
742 129 872 1621
2 1 0 1 32 0 723 0 -1 0.000 1 0 7 1 0 2
0 0 1.00 120.00 120.00
2424 413 742 129
-6
6 1693 444 2543 3103
2 1 0 4 35 0 409 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1816 3073 1779 1419
2 1 0 4 35 0 726 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2449 2016 1816 3073
2 1 0 4 36 0 760 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
2489 474 2449 2016
2 1 0 4 35 0 443 0 -1 0.000 1 0 7 1 0 2
0 0 2.00 180.00 150.00
1779 1419 2489 474
-6
-6
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 2631 383 60 60 2631 383 2691 383
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 4888 777 60 60 4888 777 4948 777
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 4403 1921 60 60 4403 1921 4463 1921
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 4665 2521 60 60 4665 2521 4725 2521
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 4163 3794 60 60 4163 3794 4223 3794
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 1900 3207 60 60 1900 3207 1960 3207
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 2552 2032 60 60 2552 2032 2612 2032
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 820 1677 60 60 820 1677 880 1677
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 -135 2774 60 60 -135 2774 -75 2774
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 679 -10 60 60 679 -10 739 -10
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 -466 993 60 60 -466 993 -406 993
1 3 0 1 185 185 50 -1 20 0.000 1 0.0000 1919 1455 60 60 1919 1455 1979 1455
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
-324 1067 -446 1008
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
-163 835 -253 816 -457 960
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
-237 1072 -264 1017 -449 984
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
-54 2621 -125 2751
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
-33 2542 -142 2640 -144 2735
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
147 2730 -112 2776
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
787 1810 768 1770 781 1702
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
738 1544 830 1647
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
969 1650 803 1680
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
781 94 697 2
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
754 217 716 192 681 21
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
531 203 645 10
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2336 419 2632 378
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2513 577 2630 359
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2646 601 2611 378
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
2880 443 2820 381 2657 372
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
1603 1283 1658 1357 1914 1444
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
1854 1313 1914 1430
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2034 1599 1949 1444
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
1622 1611 1881 1586 1916 1472
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2393 1818 2537 2006
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2643 1851 2554 2022
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
2815 2050 2747 2074 2570 2041
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2407 2093 2540 2041
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
1759 3067 1876 3171
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
1802 2991 1897 3056 1892 3184
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
2077 3073 2069 3190 1933 3184
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
2227 3252 1914 3214
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
4691 797 4868 754
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
4715 868 4857 800
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
4832 1064 4914 944 4892 814
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
4285 1808 4293 1865 4400 1920
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
4340 2080 4378 2009 4405 1939
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
4541 1873 4386 1895
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
4489 2317 4661 2421 4666 2532
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
4528 2592 4680 2540
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 3
4302 2500 4337 2459 4672 2516
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
3926 3688 4144 3819
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
4119 3576 4155 3789
2 1 0 1 34 7 55 -1 -1 0.000 0 0 -1 0 0 2
4220 3634 4166 3767
-6
4 0 0 50 -1 0 18 0.0000 4 255 6900 4247 3944 Vector<Dart_handle>v1 = {Dart_of_cell_range<0,2>(dh3)}\001
4 0 0 50 -1 0 22 0.0000 4 255 555 9465 2625 dh4\001
4 0 0 50 -1 0 18 0.0000 4 255 4935 4161 175 dh4=lcc.insert_barycenter_in_cell<2>(dh2)\001
4 0 0 50 -1 0 18 0.0000 4 255 4935 3780 -135 dh3=lcc.insert_barycenter_in_cell<2>(dh1)\001
4 0 0 50 -1 -1 18 0.0000 4 255 5985 4905 4635 dh in v1 U v2: CGAL::remove_cell<LCC,1>(lcc,dh)\001
4 0 0 50 -1 32 19 0.0000 4 210 225 4635 4635 "\001
4 0 0 50 -1 0 18 0.0000 4 255 6900 4365 4275 Vector<Dart_handle>v2 = {Dart_of_cell_range<0,2>(dh4)}\001
4 0 0 50 -1 0 22 0.0000 4 255 555 2430 270 dh1\001
4 0 0 50 -1 0 22 0.0000 4 255 555 4410 3285 dh2\001
4 0 0 50 -1 0 22 0.0000 4 255 555 7875 630 dh3\001

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@ -1,11 +0,0 @@
\ccUserChapter{Linear cell complex\label{Linear_cell_complex}}
\ccChapterAuthor{Guillaume Damiand}
\input{Linear_cell_complex/PkgDescription.tex}
\minitoc
\input{Linear_cell_complex/Linear_cell_complex.tex}

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% +------------------------------------------------------------------------+
% | Reference manual page: CombinatorialMapWithPoints.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
\begin{ccRefConcept}{CellAttributeWithPoint}
\ccDefinition
The concept \ccRefName\ is a refinement of the \ccc{CellAttribute}
concept, to represent a cell attribute containing a point.
% For that, it refines a point concept wich can be either
% \ccc{Kernel::Point_2} or \ccc{Kernel::Point_3} or \ccc{Kernel::Point_d} concept.
\ccRefines
\ccRefConceptPage{CellAttribute} % \\
% If \ccc{ambient_dimension==2} \ccRefConceptPage{Kernel::Point_2}\\
% If \ccc{ambient_dimension==3} \ccRefConceptPage{Kernel::Point_3}\\
% Otherwise \ccRefConceptPage{Kernel::Point_d}
\ccTypes
%\ccParameters
% \ccc{Refs} must be a model of the \ccc{CombinatorialMap} concept.
% \ccc{T} must be \ccc{Tag_true} to enable the storage of a
% \ccc{Dart_handle} within the class (to be set to a dart which is part of the cell),
% and \ccc{Tag_false} otherwise.
% \ccNestedType{Traits}{The traits class, a model of the \ccc{LinearCellComplexTraits} concept.}
% \ccGlue
\ccNestedType{Point}{Type of the used point.} % Equals to \ccc{Traits::Point}.}
% A model of
% \ccc{Kernel::Point_2} if \ccc{ambient_dimension==2},
% a model of \ccc{Kernel::Point_3} if \ccc{ambient_dimension==3},
% or a model of \ccc{Kernel::Point_d} otherwise.}
% \ccc{FunctorOnMerge} functor used when two cell attributes are merged. Must contains a method \ccc{operator ()} taking two \ccc{CellAttribute} as parameters.
% \ccc{FunctorOnSplit} functor used when one cell attribute was split in two. Must contains a method \ccc{operator ()} taking two \ccc{CellAttribute} as parameters.
% This concept does not have any restriction on the number
% of additional template parameters.
% \ccTypes
% \ccNestedType{Supports_cell_dart}
% {equal to T (\ccc{Tag_true} or \ccc{Tag_false}).}
% +-----------------------------------+
% \ccConstants
% \ccVariable{static unsigned int ambient_dimension;}{The dimension of the ambient space.}
% +-----------------------------------+
\ccCreation
\ccCreationVariable{cawp}
\ccConstructor{CellAttributeWithPoint();}{Default constructor.}
\ccConstructor{CellAttributeWithPoint(const Point&apoint);}
{Constructor initializing the point of \ccc{cawp} by the
copy contructor \ccc{Point(apoint)}.}
\ccConstructor{CellAttributeWithPoint(const Point&apoint, const Info& info);}
{Constructor initializing the point of \ccc{cawp} by the
copy contructor \ccc{Point(apoint)} and initializing the
information of \ccc{cawp} by the
copy contructor \ccc{Info(info)}.
Defined only if \ccc{Info} is different from \ccc{void}.}
% +-----------------------------------+
\ccHeading{Access Member Functions}
\ccMethod{Point& point();}
{Returns the point of \ccc{cawp}.}
\ccMethod{const Point& point() const;}
{Returns the point of \ccc{cawp}, when \ccc{cawp} is const.}
\ccHasModels
\ccRefIdfierPage{CGAL::Cell_attribute_with_point<LCC,Info_,Tag,OnMerge,OnSplit>}
%\ccRefIdfierPage{CGAL::Cell_attribute_with_point_and_info}\\
\ccSeeAlso
%\ccRefConceptPage{LinearCellComplex}\\
\ccRefConceptPage{LinearCellComplexItems}
%\ccRefConceptPage{LinearCellComplexTraits}\\
\end{ccRefConcept}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

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% +------------------------------------------------------------------------+
% | Reference manual page: Cell_attribute_with_point.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
\begin{ccRefClass}{Cell_attribute_with_point<LCC,Info_,Tag,OnMerge,OnSplit>}
\ccInclude{CGAL/Cell_attribute_with_point.h}
\ccDefinition
The class \ccRefName\ represents an attribute containing a point and
containing an information when \ccc{Info_} is different from void.
This class can typically be used to associate a point to each 0-cell
of a combinatorial map.
% It inherits from the type of point defined in
% \ccc{LCC} so that we can use an instance of
% \ccc{Cell_attribute_with_point} everywhere an instance of
% \ccc{LCC::Point} is required.
\ccIsModel
\ccRefConceptPage{CellAttributeWithPoint}
\ccInheritsFrom
\ccRefIdfierPage{CGAL::Cell_attribute<CMap,Info_,Tag,OnMerge,OnSplit>} %\\
%\ccc{LCC::Point} see \ccRefConceptPage{LinearCellComplex}
\ccParameters
\ccc{LCC} must be an instanciation of \ccc{Linear_cell_complex} class\\
\ccc{Info_} is the type of the information contained in the attribute, \ccc{void} for no information. \\
\ccc{Tag} is \ccc{Tag_true} to enable the storage of a
\ccc{Dart_handle} of the associated cell, \ccc{Tag_false} otherwise.\\
\ccc{OnMerge} is a functor called when two attributes are merged. \\
\ccc{OnSplit} is a functor called when one attribute is split in two.
By default, \ccc{OnMerge} and \ccc{OnSplit} are equal to
\ccc{Null_functor}; \ccc{Tag} is equal to
\ccc{Tag_true}; and \ccc{Info_} is equal to \ccc{void}.
\ccTypes
\ccThree{typedef LCC::Dart_const_handle;}{}{}
% \ccTypedef{typedef Info_ Info;}{}
% \ccGlue
% \ccTypedef{typedef Tag Supports_cell_dart;}{}
% \ccGlue
% \ccTypedef{typedef OnMerge On_merge;}{}
% \ccGlue
% \ccTypedef{typedef OnSplit On_split;}{}
%
% \ccTypedef{typedef LCC::Traits Traits;}{}
% \ccGlue
\ccTypedef{typedef LCC::Point Point;}{}
\ccGlue
%
%\ccTwo{typedef LCC::Dart_const_handle;;;;;}{}
%\ccThree{typedef LCC::Dart_const_handle;}{}{}
\ccTypedef{typedef LCC::Dart_handle Dart_handle;}{}
\ccGlue
\ccTypedef{typedef LCC::Dart_const_handle Dart_const_handle;}{}
\ccConstants
\ccVariable{static unsigned int ambient_dimension = LCC::ambient_dimension;}{}
\ccSeeAlso
\ccRefIdfierPage{CGAL::Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}\\
\ccRefIdfierPage{CGAL::Linear_cell_complex_min_items<d>}\\
\ccRefIdfierPage{CGAL::Cell_attribute<CMap,Info_,Tag,OnMerge,OnSplit>}
\end{ccRefClass}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

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% +------------------------------------------------------------------------+
% | Reference manual page: LinearCellComplexItems.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
\begin{ccRefConcept}{LinearCellComplexItems}
\ccDefinition The concept \ccRefName\ refines the concept of
\ccc{CombinatorialMapItems} by adding the requirement that
0-attributes are enabled, and associated with attributes which are a
model of the \ccc{CellAttributeWithPoint} concept.
% In addition to the requirements of \ccc{CombinatorialMapItems},
% the item class must also define the \ccc{Traits} type for the
% geometrical traits used, a model of the \ccc{LinearCellComplexTraits}
% concept.
% , and
% must define a \ccc{static const int ambient_dimension} for the
% dimension of the ambient space.
\ccRefines
\ccRefConceptPage{CombinatorialMapItems}
% +-----------------------------------+
\ccHeading{Requirements}
The first type in \ccc{Attributes} must be a model of the
\ccc{CellAttributeWithPoint} concept.
% \item \ccc{dimension}$\leq$\ccc{ambient_dimension} (?).
% \ccTypes
% \ccNestedType{Traits}{a model of the \ccc{LinearCellComplexTraits} concept.}
% \ccConstants
% \ccVariable{static unsigned int ambient_dimension;}
% {The dimension of the ambient space.}
\ccHasModels
%\ccRefIdfierPage{CGAL::Linear_cell_complex_min_items<d,d2,Traits>}
\ccRefIdfierPage{CGAL::Linear_cell_complex_min_items<d>}
\ccSeeAlso
\ccRefIdfierPage{CGAL::Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}\\
\ccRefConceptPage{CellAttributeWithPoint}\\
%\ccRefConceptPage{LinearCellComplexTraits}\\
\ccRefIdfierPage{CGAL::Dart<d,CMap>}
\end{ccRefConcept}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

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% +------------------------------------------------------------------------+
% | Reference manual page: LinearCellComplexTraits.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
\begin{ccRefConcept}{LinearCellComplexTraits}
Required types and functors for the \ccRefName\ concept. This
geometric traits concept is used in the \ccc{Linear_cell_complex}
class.
% \ccRefines
% A model of the concept \ccc{Kernel} if \ccc{Ambiant_dimension==2} or
% \ccc{Ambiant_dimension==3}; a model of the concept \ccc{Kernel_d} otherwise.
% \ccc{CopyConstructable}, \ccc{Assignable}.
\ccConstants
\ccVariable{static unsigned int ambient_dimension;}
{The ambient dimension, must be \mygt{}1.}
\ccTypes
% \ccNestedType{Kernel}{kernel type.}
\ccNestedType{FT}{a number type that is a model for FieldNumberType.}
\ccGlue
\ccNestedType{Point}{point type.}
\ccGlue
\ccNestedType{Vector}{vector type.}
\ccGlue
\ccNestedType{Direction}{direction type.}
% \ccGlue
% \ccNestedType{Iso_cuboid}{iso cuboid type.}
\ccHeading{Constructions}
\ccNestedType{Construct_translated_point}{Functor with operator to construct the translation of a Point by a given Vector.}
\ccGlue
\ccNestedType{Construct_vector}{Functor with operator to construct a vector going from the origin to a given point.}
\ccGlue
\ccNestedType{Construct_vector}{Functor with operator to construct a vector given two points.}
\ccGlue
\ccNestedType{Construct_sum_of_vectors}{Functor with operator to construct a vector wich is the sum of the two given vectors.}
\ccGlue
\ccNestedType{Construct_scaled_vector}{Functor with operator to construct a vector which is equal to a given Vector scaled by a given number.}
\ccGlue
\ccNestedType{Construct_midpoint}{Functor with operator to construct a point equal to the middle of the two given points.}
\ccGlue
\ccNestedType{Construct_direction}{Functor with operator returning a direction corresponding to the given vector.}
% \ccGlue
% \ccNestedType{Construct_iso_cuboid}{Functor with operator returning an iso cuboid created from two points (min and max points of the iso cuboid).}
\ccHeading{Generalized Predicates}
\ccNestedType{Collinear}{Functor with operator returning true iff the three given points are colinear.}
\textbf{If \ccc{ambient_dimension==3}}
\ccTypes
\ccNestedType{Construct_normal_3}{a model of \ccc{ConstructNormal_3}}
\ccHasModels
\ccRefIdfierPage{CGAL::Linear_cell_complex_traits<d,K>}.
\ccSeeAlso
\ccRefIdfierPage{CGAL::Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}\\
%\ccRefConceptPage{LinearCellComplex}\\
\ccRefConceptPage{LinearCellComplexItems}\\
\end{ccRefConcept}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

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% +------------------------------------------------------------------------+
% | Reference manual page: Linear_cell_complex.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
\begin{ccRefClass}{Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}
\ccInclude{CGAL/Linear_cell_complex.h}
\ccDefinition
The class \ccRefName\ represents a linear cell complex in dimension \ccc{d},
in an ambient space of dimension \ccc{d2}. This is a model of the concept of
\ccc{CombinatorialMap} by adding a requirement to ensure that
each vertex of the map is associated with a
model of \ccc{CellAttributeWithPoint}.
% Darts and non void attributes are stored in memory using
% \ccc{CGAL::Compact_container}, using \ccc{Alloc} as allocator.
\ccIsModel
%\ccRefConceptPage{LinearCellComplex}
\ccRefConceptPage{CombinatorialMap}
\ccInheritsFrom
\ccRefIdfierPage{CGAL::Combinatorial_map<d,Items_,Alloc_>}
\ccParameters
\ccc{d} an integer for the dimension of the combinatorial map,\\
\ccc{d2} an integer for the dimension of the ambiant space,\\
\ccc{Traits_} must be a model of the \ccc{LinearCellComplexTraits} concept, satisfying \ccc{Traits_::ambiant_dimension==d2},\\
\ccc{Items_} must be a model of the \ccc{CombinatorialMapItems} concept,\\
\ccc{Alloc_} has to match the standard allocator requirements.
There are four default template arguments:
\ccc{d2} is equal to \ccc{d},
\ccc{Trait_} is equal to \ccc{CGAL::Linear_cell_complex_traits<d2,CGAL::Exact_predicates_inexact_constructions_kernel>} if
\ccc{d2} is 2 or 3, and this is \ccc{CGAL::Linear_cell_complex_traits<d2,CGAL::Cartesian_d<double>>} otherwise,
\ccc{Items_} is equal to \ccc{CGAL::Linear_cell_complex_min_items<d>} and
\ccc{Alloc_} is \ccc{CGAL_ALLOCATOR(int)}.
\begin{ccAdvanced}
Note that there is an additional, and undocumented, template
parameter \ccc{CMap} for
\ccc{Linear_cell_complex<d,d2,Traits_,Items_,Alloc_,CMap>} allowing
to inherit from any model of \ccc{CombinatorialMap} concept.
\end{ccAdvanced}
% +-----------------------------------+
\ccCreation
\ccCreationVariable{lcc}
\ccConstructor{LinearCellComplex();}{}
% +-----------------------------------+
\ccConstants
\ccVariable{static unsigned int ambient_dimension = d2;}{must be \mygt{}1.}
% +-----------------------------------+
\ccTypes
\ccThree{typedef Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}{}{}
\ccTypedef{typedef Linear_cell_complex<d,d2,Traits_,Items_,Alloc_> Self;}{}
\ccGlue
\ccTypedef{typedef Items::Dart_wrapper<Self>::Dart Dart;}{The type of dart, must satisfy \ccc{Dart::dimension==d}.}
\ccTypedef{typedef Traits_ Traits;}{}
\ccGlue
\ccTypedef{typedef Items_ Items;}{}
\ccGlue
\ccTypedef{typedef Alloc_ Alloc;}{}
\ccTypedef{typedef Traits::FT FT;}{}
\ccGlue
\ccTypedef{typedef Traits::Point Point;}{}
\ccGlue
\ccTypedef{typedef Traits::Vector Vector;}{}
\ccNestedType{Vertex_attribute}
{Type of 0-attributes, a model of \ccc{CellAttributeWithPoint} concept
(a shortcut for \ccc{Attribute_type_d<0>::type}).}
\ccGlue
\ccNestedType{Vertex_attribute_handle}
{Handle through 0-attributes
(a shortcut for \ccc{Attribute_handle_type_d<0>::type}).}
\ccGlue
\ccNestedType{Vertex_attribute_const_handle}
{Const handle through 0-attributes
(a shortcut for \ccc{Attribute_const_handle_type_d<0>::type}).}
\ccGlue
\ccNestedType{Vertex_attribute_range}
{Range of all the 0-attributes, a model of the \ccc{Range} concept
(a shortcut for \ccc{Attribute_range_d<0>::type}).
Iterator inner type is bidirectional iterator and value type is \ccc{Vertex_attribute}.}
\ccGlue
\ccNestedType{Vertex_attribute_const_range}
{Const range of all the 0-attributes, a model of the \ccc{ConstRange} concept
a shortcut for \ccc{Attribute_const_range_d<0>::type}).
Iterator inner type is bidirectional iterator and value type is \ccc{Vertex_attribute}.}
% \ccNestedType{Vertex_attribute}{First element of \ccc{Items::Dart_wrapper<Self>::Attributes}.}
% +-----------------------------------+
\ccHeading{Range Access Member Functions}
\ccMethod{Vertex_attribute_range& vertex_attributes();}
{Returns a range of all the 0-attributes in \ccc{lcc}
(a shortcut for \ccc{attributes<0>()}).}
\ccMethod{Vertex_attribute_const_range& vertex_attributes() const;}
{Returns a const range of all the 0-attributes in \ccc{lcc}
(a shortcut for \ccc{attributes<0>() const}).}
% +-----------------------------------+
\ccHeading{Access Member Functions}
\ccMethod{bool is_valid() const;}
{Returns true iff \ccc{lcc} is valid.}
A linear cell complex \ccc{lcc} is valid
if it is a valid combinatorial map, and if for all dart handle \emph{dh} such that
\ccc{*dh}\myin{}\ccc{lcc.darts()}: \ccc{dh->attribute<0>()!=NULL}.
\ccMethod{size_type number_of_vertex_attributes() const;}
{Returns the number of 0-attributes in \ccc{lcc}
(a shortcut for \ccc{number_of_attributes<0>()}).}
\ccHeading{Static Member Functions}
\ccMethod{static Vertex_attribute_handle vertex_attribute(Dart_handle dh);}
{Returns the 0-attribute associated with \ccc{dh}.
\ccPrecond{\ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
\ccMethod{static Vertex_attribute_const_handle vertex_attribute(Dart_const_handle dh);}
{Returns the 0-attribute associated with \ccc{dh}, when \ccc{dh} is const.
\ccPrecond{\ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
\ccMethod{static Point& point(Dart_handle dh);}
{Returns the point in the 0-attribute associated with the \ccc{dh}.
\ccPrecond{\ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
\ccMethod{static const Point& point(Dart_const_handle dh);}
{Returns the point in the 0-attribute associated with the \ccc{dh},
when \ccc{dh} is const.
\ccPrecond{\ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
% +-----------------------------------+
\ccHeading{Modifiers}
\ccMethod{Dart_handle create_dart(Vertex_attribute_handle vh);}
{Creates a new dart in \ccc{lcc}, sets its associated 0-attribute
to \ccc{vh} and returns the corresponding handle.
\ccPrecond{\ccc{*vh}\myin{}\ccc{lcc.vertex_attributes()}.}
}
\ccMethod{Dart_handle create_dart(const Point& apoint);}
{Creates a new dart in \ccc{lcc}, creates a new 0-attribute
initialized with \ccc{apoint}, sets the associated 0-attribute
of the new dart to this new 0-attribute,
and returns the corresponding handle.}
\ccMethod{Vertex_attribute_handle create_vertex_attribute();}
{Creates a new 0-attribute in \ccc{lcc}, and returns the corresponding handle
(a shortcut for \ccc{create_attribute<0>()}).}
\ccMethod{Vertex_attribute_handle create_vertex_attribute(const Point& apoint);}
{Creates a new 0-attribute in \ccc{lcc} initialized with \ccc{apoint},
and returns the corresponding handle.}
\ccMethod{void erase_vertex_attribute(Vertex_attribute_handle vh);}
{Removes the 0-attribute pointed by \ccc{vh} from \ccc{cm}
(a shortcut for \ccc{erase_attribute<0>(vh)}).
\ccPrecond{\ccc{*vh}\myin{}\ccc{lcc.vertex_attributes()}.}
}
\ccMethod{void set_vertex_attribute(Dart_handle dh, Vertex_attribute_handle vh);}
{Associates the 0-attribute of all the darts of the 0-cell
containing \ccc{dh} to \ccc{vh}
(a shortcut for \ccc{set_attribute<0>(dh,vh)}).
\ccPrecond{\ccc{*dh}\myin{}\ccc{lcc.darts()} and
\ccc{*vh}\myin{}\ccc{lcc.vertex_attributes()}.}
}
% +-----------------------------------+
\ccHeading{Operations}
\ccMethod{template<unsigned int i> Point barycenter(Dart_const_handle dh) const;}
{Returns the barycenter of the \emph{i}-cell containing \ccc{dh}.
\ccPrecond{0\myleq{}\emph{i}\myleq{}\ccc{dimension} and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
\ccMethod{template <unsigned int i> Dart_handle insert_point_in_cell(Dart_handle dh, Point p);}
{Inserts a point, copy of \ccc{p}, in the \emph{i}-cell containing \ccc{dh}.
Returns an handle on one dart of this cell.
\ccPrecond{\ccc{dimension}\mygeq{}1 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}\\
% \begin{ccAdvanced}
If \emph{i}-attributes are non void,
\ccc{Attribute_type<i>::type::On_split}(\emph{a},\emph{a'}) is called,
with \emph{a} the original \emph{i}-attribute associated
with \emph{dh} and \emph{a'} each new \emph{i}-attribute created during the operation.
% \end{ccAdvanced}
}
\ccMethod{template <unsigned int i> Dart_handle insert_barycenter_in_cell(Dart_handle dh);}
{Inserts a point in the barycenter of the \emph{i}-cell containing \ccc{dh}.
Returns an handle on one dart of this cell.
\ccPrecond{1\myleq{}\ccc{dimension}\mygeq{}2 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}\\
% \begin{ccAdvanced}
If \emph{i}-attributes are non void,
\ccc{Attribute_type<i>::type::On_split}(\emph{a},\emph{a'}) is called,
with \emph{a} the original \emph{i}-attribute associated
with \emph{dh} and \emph{a'} each new \emph{i}-attribute created during the operation.
% \end{ccAdvanced}
}
\ccMethod{Dart_handle insert_dangling_cell_1_in_cell_2(Dart_handle dh, Point p);}
{Inserts a 1-cell in a the 2-cell containing \ccc{adart}, the 1-cell
being attached only by one of its vertex to the 0-cell containing \ccc{dh}.
The second vertex is associated with a new 0-attribute containing a copy of
\ccc{p} as point. Returns an handle on one dart belonging to the new 0-cell.
\ccPrecond{\ccc{dimension}\mygeq{}2 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
% +-----------------------------------+
\ccHeading{Constructions}
\ccMethod{Dart_handle make_segment(const Point& p0, const Point& p1);}
{Creates an isolated segment in \ccc{lcc} (two darts linked by \betadeux{})
having \ccc{p0}, \ccc{p1} as geometry.
Returns an handle on the dart associated with \ccc{p0}.
\ccPrecond{\ccc{dimension}\mygeq{}2.}
}
%
\def\LargFig{.3\textwidth}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_segment}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/make_segment.png">
<img src="../Linear_cell_complex_ref/fig/png/make_segment.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\centerline{Example of \ccc{r=lcc.make_segment(p0,p1)}.}
\ccMethod{Dart_handle make_triangle(const Point& p0, const Point& p1, const Point& p2);}
{Creates an isolated triangle in \ccc{lcc} having \ccc{p0}, \ccc{p1}, \ccc{p2} as geometry.
Returns an handle on the dart associated with \ccc{p0}.
\ccPrecond{\ccc{dimension}\mygeq{}1.}
}
%
\def\LargFig{.3\textwidth}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_triangle}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/make_triangle.png">
<img src="../Linear_cell_complex_ref/fig/png/make_triangle.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\centerline{Example of \ccc{r=lcc.make_triangle(p0,p1,p2)}.}
\ccMethod{Dart_handle make_quadrangle(const Point& p0,
const Point& p1,
const Point& p2,
const Point& p3);}
{Creates an isolated quadrangle in \ccc{lcc} having \ccc{p0} ,\ccc{p1},
\ccc{p2}, \ccc{p3} as geometry.
Returns an handle on the dart associated with \ccc{p0}.
\ccPrecond{\ccc{dimension}\mygeq{}1.}
}
%
\def\LargFig{.3\textwidth}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_quadrilateral}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/make_quadrilateral.png">
<img src="../Linear_cell_complex_ref/fig/png/make_quadrilateral.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\centerline{Example of \ccc{r=lcc.make_quadrangle(p0,p1,p2,p3)}.}
\ccMethod{Dart_handle make_tetrahedron(const Point& p0,
const Point& p1,
const Point& p2,
const Point& p3);}
{Creates an isolated tetrahedron in \ccc{lcc} having \ccc{p0} ,\ccc{p1},\ccc{p2},\ccc{p3} as geometry.
Returns an handle on the dart associated with \ccc{p0} and
belonging to the 2-cell having \ccc{p0}, \ccc{p1}, \ccc{p2}
as coordinates.
\ccPrecond{\ccc{dimension}\mygeq{}2.}
}
%
\def\LargFig{.3\textwidth}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_tetrahedron}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/make_tetrahedron.png">
<img src="../Linear_cell_complex_ref/fig/png/make_tetrahedron.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\centerline{Example of \ccc{r=lcc.make_tetrahedron(p0,p1,p2,p3)}.}
\ccFunction{Dart_handle make_hexahedron(const Point& p0,
const Point& p1,
const Point& p2,
const Point& p3,
const Point& p4,
const Point& p5,
const Point& p6,
const Point& p7);}
{Creates an isolated hexahedron in \ccc{lcc} having \ccc{p0}, \ccc{p1},
\ccc{p2}, \ccc{p3}, \ccc{p4}, \ccc{p5}, \ccc{p6}, \ccc{p7} as geometry.
Returns an handle on the dart associated with \ccc{p0} and
belonging to the 2-cell having \ccc{p0}, \ccc{p5}, \ccc{p6}, \ccc{p1}
as coordinates.
\ccPrecond{\ccc{dimension}\mygeq{}2.}
}
\def\LargFig{.4\textwidth}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_hexahedron}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/make_hexahedron.png">
<img src="../Linear_cell_complex_ref/fig/png/make_hexahedron.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\centerline{Example of \ccc{r=lcc.make_hexahedron(p0,p1,p2,p3,p4,p5,p6,p7)}.}
% +-----------------------------------+
\ccSeeAlso
\ccRefConceptPage{CombinatorialMap}\\
\ccRefIdfierPage{CGAL::Combinatorial_map<d,Items_,Alloc_>}\\
\ccRefConceptPage{Dart}\\
\ccRefConceptPage{LinearCellComplexItems}\\
\ccRefIdfierPage{CGAL::Linear_cell_complex_min_items<d>}\\
\ccRefConceptPage{LinearCellComplexTraits}\\
\ccRefIdfierPage{CGAL::Linear_cell_complex_traits<d,K>}
\end{ccRefClass}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

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@ -1,551 +0,0 @@
% +------------------------------------------------------------------------+
% | Reference manual page: Linear_cell_complex_constructors.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Linear_cell_complex
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_segment<LCC>}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_segment(LCC& lcc,
% const typename LCC::Point& p0,
% const typename LCC::Point& p1);}
% {Creates an isolated segment in \ccc{lcc} (two darts linked by \betadeux{})
% having \ccc{p0}, \ccc{p1} as geometry.
% Returns an handle on the dart associated with \ccc{p0}.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2.}
% }
% %
% \def\LargFig{.3\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_segment}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_segment.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_segment.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_segment(lcc,p0,p1)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_triangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_quadrangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_rectangle<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_hexahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_triangle<LCC>}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_triangle(LCC& lcc,
% const typename LCC::Point& p0,
% const typename LCC::Point& p1,
% const typename LCC::Point& p2);}
% {Creates an isolated triangle in \ccc{lcc} having \ccc{p0}, \ccc{p1}, \ccc{p2} as geometry.
% Returns an handle on the dart associated with \ccc{p0}.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}1.}
% }
% %
% \def\LargFig{.3\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_triangle}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_triangle.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_triangle.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_triangle(lcc,p0,p1,p2)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment<LCC>}\\
% \ccRefIdfierPage{CGAL::make_quadrangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_rectangle<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_hexahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_quadrangle<LCC>}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_quadrangle(LCC& lcc,
% const typename LCC::Point& p0,
% const typename LCC::Point& p1,
% const typename LCC::Point& p2,
% const typename LCC::Point& p3);}
% {Creates an isolated quadrangle in \ccc{lcc} having \ccc{p0} ,\ccc{p1},
% \ccc{p2}, \ccc{p3} as geometry.
% Returns an handle on the dart associated with \ccc{p0}.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}1.}
% }
% %
% \def\LargFig{.3\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_quadrilateral}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_quadrilateral.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_quadrilateral.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_quadrangle(lcc,p0,p1,p2,p3)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment<LCC>}\\
% \ccRefIdfierPage{CGAL::make_triangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_rectangle<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_hexahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_rectangle<LCC>}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_rectangle(LCC& lcc,
% const typename LCC::Iso_rectangle& ir);}
% {Creates an isolated rectangle in \ccc{lcc} having \ccc{ir} as geometry.
% Returns an handle on the dart associated with \ccc{ir[0]}.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}1 and \ccc{LCC::ambient_dimension}\mygeq{}2.}
% }
% \ccHeading{Requirements}
% \ccc{LCC::Traits} defines \ccc{Iso_rectangle_2} type.
%
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment}\\
% \ccRefIdfierPage{CGAL::make_triangle}\\
% \ccRefIdfierPage{CGAL::make_quadrangle}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron}\\
% \ccRefIdfierPage{CGAL::make_hexahedron}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
% %----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_rectangle}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_rectangle(LCC& lcc,
% const typename LCC::Point& p0,
% const typename LCC::Point& p1);}
% {Creates an isolated rectangle in \ccc{lcc} having \ccc{p0} and \ccc{p1} as
% diagonal opposite points. Returns an handle on the dart associated with \ccc{p0}.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}1 and \ccc{LCC::ambient_dimension}\mygeq{}2.}
% }
% \ccHeading{Requirements}
% \ccc{LCC::Traits} defines \ccc{Iso_rectangle_2} type.
%
% \def\LargFig{.3\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_rectangle}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_rectangle.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_rectangle.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_rectangle(lcc,p0,p1)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment<LCC>}\\
% \ccRefIdfierPage{CGAL::make_triangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_quadrangle<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_hexahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_square}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_square(LCC& lcc,
% const typename LCC::Point& p,
% typename LCC::FT l);}
% {Creates an isolated square in \ccc{lcc} having \ccc{p} as based point, and \ccc{l}
% as size. Returns an handle on the dart associated with \ccc{p}.
% \ccPrecond{\ccc{LCC::dimension}$\geq 1$ and \ccc{LCC::ambient_dimension}$\geq 2$.}
% }
% %
% \def\LargFig{.3\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_square}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_square.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_square.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_square(lcc,p,l)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment}\\
% \ccRefIdfierPage{CGAL::make_triangle}\\
% \ccRefIdfierPage{CGAL::make_quadrangle}\\
% \ccRefIdfierPage{CGAL::make_rectangle}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron}\\
% \ccRefIdfierPage{CGAL::make_hexahedron}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_tetrahedron<LCC>}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_tetrahedron(LCC& lcc,
% const typename LCC::Point& p0,
% const typename LCC::Point& p1,
% const typename LCC::Point& p2,
% const typename LCC::Point& p3);}
% {Creates an isolated tetrahedron in \ccc{lcc} having \ccc{p0} ,\ccc{p1},\ccc{p2},\ccc{p3} as geometry.
% Returns an handle on the dart associated with \ccc{p0} and
% belonging to the 2-cell having \ccc{p0}, \ccc{p1}, \ccc{p2}
% as coordinates.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2.}
% }
% %
% \def\LargFig{.3\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_tetrahedron}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_tetrahedron.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_tetrahedron.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_tetrahedron(lcc,p0,p1,p2,p3)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment<LCC>}\\
% \ccRefIdfierPage{CGAL::make_triangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_quadrangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_rectangle<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_hexahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_hexahedron<LCC>}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_hexahedron(LCC& lcc,
% const typename LCC::Point& p0,
% const typename LCC::Point& p1,
% const typename LCC::Point& p2,
% const typename LCC::Point& p3,
% const typename LCC::Point& p4,
% const typename LCC::Point& p5,
% const typename LCC::Point& p6,
% const typename LCC::Point& p7);}
% {Creates an isolated hexahedron in \ccc{lcc} having \ccc{p0}, \ccc{p1},
% \ccc{p2}, \ccc{p3}, \ccc{p4}, \ccc{p5}, \ccc{p6}, \ccc{p7} as geometry.
% Returns an handle on the dart associated with \ccc{p0} and
% belonging to the 2-cell having \ccc{p0}, \ccc{p5}, \ccc{p6}, \ccc{p1}
% as coordinates.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2.}
% }
% \def\LargFig{.4\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_hexahedron}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_hexahedron.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_hexahedron.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_hexahedron(lcc,p0,p1,p2,p3,p4,p5,p6,p7)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment<LCC>}\\
% \ccRefIdfierPage{CGAL::make_triangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_quadrangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_rectangle<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_iso_cuboid<LCC>}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_iso_cuboid(LCC& lcc,
% const typename LCC::Iso_cuboid& ic);}
% {Creates an isolated cuboid in \ccc{lcc} having points in \ccc{ic} as points.
% Returns an handle on the dart associated with \ccc{ic[0]},
% and belonging to the 2-cell having
% \ccc{ic[0]},\ccc{ic[5]}, \ccc{ic[6]},\ccc{ic[1]} as coordinates.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2 and \ccc{LCC::ambient_dimension}\mygeq{}3.}
% }
% \ccHeading{Requirements}
% \ccc{LCC} defines \ccc{Iso_cuboid} type.
%
% \def\LargFig{.4\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_cuboid}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_cuboid.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_cuboid.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_iso_cuboid(lcc,ic)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment}\\
% \ccRefIdfierPage{CGAL::make_triangle}\\
% \ccRefIdfierPage{CGAL::make_quadrangle}\\
% \ccRefIdfierPage{CGAL::make_rectangle}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron}\\
% \ccRefIdfierPage{CGAL::make_hexahedron}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
% %%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_iso_cuboid}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle make_iso_cuboid(LCC& lcc,
% const typename LCC::Point& p0,
% const typename LCC::Point& p1);}
% {Creates an isolated cuboid in \ccc{lcc} given having \ccc{p0} and
% \ccc{p1} as diagonal opposite points. We denote by \ccc{ic} the
% \ccc{Iso_cuboid_3} build from \ccc{p0} and \ccc{p1}.
% Returns an handle on the dart associated with \ccc{ic[0]},
% and belonging to the 2-cell having
% \ccc{ic[0]},\ccc{ic[5]}, \ccc{ic[6]},\ccc{ic[1]} as coordinates.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2 and \ccc{LCC::ambient_dimension}\mygeq{}3.}
% }
% \ccHeading{Requirements}
% \ccc{LCC} defines \ccc{Iso_cuboid} type.
%
% \def\LargFig{.4\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_cuboid}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_cuboid.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_cuboid.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_iso_cuboid(lcc,p0,p1)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment<LCC>}\\
% \ccRefIdfierPage{CGAL::make_triangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_quadrangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_rectangle<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_rectangle2}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_hexahedron<LCC>}\\
% %\ccRefIdfierPage{CGAL::make_iso_cuboid2}\\
% %\ccRefIdfierPage{CGAL::make_cube}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
% \begin{ccRefFunction}{make_cube}
% \ccInclude{Linear_cell_complex_constructors.h}\\
% \ccFunction{typename LCC::Dart_handle make_cube(LCC& lcc,
% const typename LCC::Point& p,
% typename LCC::FT l);}
% {Creates an isolated cube in \ccc{lcc} having \ccc{p} as based point, and
% \ccc{l} as size.
% Returns an handle on the dart associated with \ccc{p},
% and belonging to the 2-cell having
% \ccc{p},\ccc{p}+(0,0,\ccc{l}), \ccc{p}+(\ccc{l},0,\ccc{l}), \ccc{a}+(\ccc{l},0,0).
% as coordinates.
% \ccPrecond{\ccc{LCC::dimension}$\geq 2$ and \ccc{LCC::ambient_dimension}$\geq 3$.}
% }
% %
% \def\LargFig{.3\textwidth}
% \begin{ccTexOnly}
% \begin{center}
% \includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/make_cube}
% \end{center}
% \end{ccTexOnly}
% \begin{ccHtmlOnly}
% <CENTER>
% <A HREF="fig/png/make_cube.png">
% <img src="../Linear_cell_complex_ref/fig/png/make_cube.png" alt=""></A>
% </CENTER>
% \end{ccHtmlOnly}
% \centerline{Example of \ccc{r=make_cube(lcc,p,l)}.}
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::make_segment}\\
% \ccRefIdfierPage{CGAL::make_triangle}\\
% \ccRefIdfierPage{CGAL::make_quadrangle}\\
% \ccRefIdfierPage{CGAL::make_rectangle}\\
% %\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron}\\
% \ccRefIdfierPage{CGAL::make_hexahedron}\\
% \ccRefIdfierPage{CGAL::make_iso_cuboid}\\
% \end{ccRefFunction}
%----------------------------------------------------------------------------
\begin{ccRefFunction}{import_from_plane_graph<LCC>}
\ccInclude{Linear_cell_complex_constructors.h}\\
\ccFunction{template<class LCC>
typename LCC::Dart_handle import_from_plane_graph(LCC& lcc,
std::istream& ais);}
{Converts an embedded plane graph read from \ccc{ais} into \ccc{lcc}.
Objects are added in \ccc{lcc}, existing objects are not modified.
Returns a dart created during the import.
\ccPrecond{\ccc{LCC::dimension}\mygeq{}2 and \ccc{LCC::ambient_dimension}==2.}
}
\ccHeading{File format}
The file format must be the following:
\begin{itemize}
\item first line: \verb|nbvertices nbedges|;
\item \verb|nbvertices| lines: \verb|x y| the coordinates of the \myith{} vertex;
\item \verb|nbedges| lines: \verb|i j| the index of the two vertices of the edge (first vertex
being 0).
\end{itemize}
Here a small example:
\begin{verbatim}
5 6
1.0 3.0
0.0 2.0
2.0 2.0
0.0 0.0
2.0 0.0
0 1
0 2
1 2
1 3
2 4
3 4
\end{verbatim}
%
\def\LargFig{.6\textwidth}
\begin{ccTexOnly}
\begin{center}
\includegraphics[width=\LargFig]{Linear_cell_complex_ref/fig/pdf/import_graph}
\end{center}
\end{ccTexOnly}
\begin{ccHtmlOnly}
<CENTER>
<A HREF="fig/png/import_graph.png">
<img src="../Linear_cell_complex_ref/fig/png/import_graph.png" alt=""></A>
</CENTER>
\end{ccHtmlOnly}
\begin{center}
Example of \ccc{import_graph} reading the above file as istream. \\
\textbf{Left}: A planar graph embedded in the plane with
\emph{P0}=(1.0,3.0), \emph{P1}=(0.0,2.0), \emph{P2}=(2.0,2.0), \emph{P3}=(0.0,0.0), \emph{P4}=(2.0,0.0).
\textbf{Right}: the 2D linear cell complex reconstructed.
\end{center}
\ccSeeAlso
\ccRefIdfierPage{CGAL::import_from_triangulation_3<LCC,Triangulation>}\\
\ccRefIdfierPage{CGAL::import_from_polyhedron<LCC,Polyhedron>}\\
\end{ccRefFunction}
%----------------------------------------------------------------------------
\begin{ccRefFunction}{import_from_triangulation_3<LCC,Triangulation>}
\ccInclude{Linear_cell_complex_constructors.h}\\
\ccFunction{template <class LCC,class Triangulation_>
typename LCC::Dart_handle import_from_triangulation_3(LCC& lcc,
const Triangulation_ &atr);}
{Converts \ccc{atr} (a \ccc{Triangulation_3}) into \ccc{lcc}.
Objects are added in \ccc{lcc}, existing objects are not modified.
Returns a dart created during the import.
\ccPrecond{\ccc{LCC::dimension}\mygeq{}3.}
}
\ccSeeAlso
\ccRefIdfierPage{CGAL::import_from_plane_graph<LCC>}\\
\ccRefIdfierPage{CGAL::import_from_polyhedron<LCC,Polyhedron>}\\
\end{ccRefFunction}
%----------------------------------------------------------------------------
\begin{ccRefFunction}{import_from_polyhedron<LCC,Polyhedron>}
\ccInclude{Linear_cell_complex_constructors.h}\\
\ccFunction{template<class LCC,class Polyhedron>
typename LCC::Dart_handle import_from_polyhedron(LCC& lcc,
Polyhedron &apoly);}
{Converts \ccc{apoly} (a \ccc{Polyhedron}) into \ccc{lcc}. Objects are added in \ccc{lcc},
existing objects are not modified.
Returns a dart created during the import.
\ccPrecond{\ccc{LCC::dimension}\mygeq{}2.}
}
\ccSeeAlso
\ccRefIdfierPage{CGAL::import_from_plane_graph<LCC>}\\
\ccRefIdfierPage{CGAL::import_from_triangulation_3<LCC,Triangulation>}\\
\end{ccRefFunction}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

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% +------------------------------------------------------------------------+
% | Reference manual page: Linear_cell_complex_min_items.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
\begin{ccRefClass}{Linear_cell_complex_min_items<d>} % ,d2,Traits
% \ccRefLabel{CGAL::Linear_cell_complex_min_items}
\ccInclude{CGAL/Linear_cell_complex_min_items.h}
\ccDefinition
The class \ccRefName\ defines the type of darts which is a
\ccc{Dart_wrapper::Dart<d,LCC>}, and the traits class used. In
this class, 0-attributes are enabled and associated with
\ccc{Cell_attribute_with_point}.
\ccIsModel
\ccRefConceptPage{LinearCellComplexItems}
\ccParameters
\ccc{d} the dimension of the combinatorial map. % \\
% \ccc{d2} the dimension of the ambient space.\\
% \ccc{Traits} the traits class used.\\
% By default, \ccc{d2} is equal to \ccc{d}. There is a default
% template argument for Traits class which depends on \ccc{d2}. This is
% \ccc{CGAL::Exact_predicates_inexact_constructions_kernel type} if
% \ccc{d2} is 2 or 3, and this is \ccc{CGAL::Cartesian_d<double>}
% otherwise.
\ccExample
The following example shows one implementation of the
\ccRefName\ class.
%, unsigned int d2, class Traits_>
% typedef Traits_ Traits;
\begin{ccExampleCode}
template <unsigned int d>
struct Linear_cell_complex_min_items
{
template <class LCC>
struct Dart_wrapper
{
typedef CGAL::Dart<d, LCC> Dart;
typedef CGAL::Cell_attribute_with_point<LCC> Vertex_attrib;
typedef CGAL::cpp0x::tuple<Vertex_attrib> Attributes;
};
};
\end{ccExampleCode}
\end{ccRefClass}
\ccSeeAlso
\ccRefIdfierPage{CGAL::Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}\\
\ccRefIdfierPage{CGAL::Dart<d,CMap>}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

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% +------------------------------------------------------------------------+
% | Reference manual page: Linear_cell_complex_operations.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
% \begin{ccRefFunction}{barycenter<LCC,i>}
% \ccInclude{Linear_cell_complex_operations.h}\\
% \ccFunction{template<class LCC, unsigned int i>
% typename LCC::Point barycenter(const LCC& lcc,
% typename LCC::Dart_const_handle dh);}
% {Returns the barycenter of the \emph{i}-cell containing \ccc{dh}.
% \ccPrecond{0\myleq{}\emph{i}\myleq{}\ccc{LCC::dimension} and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}
% }
% for example $i=2$ for facet, or $i=3$ for volume).\\
% \ccCommentHeading{Template parameter}\\
% \ccc{LCC} must be a model of the \ccc{CombinatorialLCCWithPoints} concept.
% \ccCommentHeading{Parameters} \\
% \ccc{lcc}: the combinatorial map used;\\
% \ccc{adart}: a dart belonging to the cell;\\
% \ccCommentHeading{Returns} \\
% the barycenter of the cell.
% }
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::compute_normal_of_cell_0<LCC>}\\
% \ccRefIdfierPage{CGAL::compute_normal_of_cell_2<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_center_cell_0_in_cell_2<LCC>}\\
% \end{ccRefFunction}
%--------------------------------------------------------------------------------
\begin{ccRefFunction}{compute_normal_of_cell_0<LCC>}
\ccInclude{Linear_cell_complex_operations.h}\\
\ccFunction{template <class LCC>
typename LCC::Vector compute_normal_of_cell_0(const LCC& lcc,
typename LCC::Dart_const_handle dh);}
{Returns the normal vector of the 0-cell containing \ccc{dh}.
\ccPrecond{\ccc{LCC::ambient_dimension}==3 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
\ccSeeAlso
%\ccRefIdfierPage{CGAL::barycenter<LCC,i>}\\
\ccRefIdfierPage{CGAL::compute_normal_of_cell_2<LCC>}\\
\end{ccRefFunction}
%--------------------------------------------------------------------------------
\begin{ccRefFunction}{compute_normal_of_cell_2<LCC>}
\ccInclude{Linear_cell_complex_operations.h}\\
\ccFunction{template <class LCC>
typename LCC::Vector compute_normal_of_cell_2(const LCC& lcc,
typename LCC::Dart_const_handle dh);}
{Returns the normal vector of the 2-cell containing \ccc{dh}.
\ccPrecond{\ccc{LCC::ambient_dimension}==3 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}
}
\ccSeeAlso
%\ccRefIdfierPage{CGAL::barycenter<LCC,i>}\\
\ccRefIdfierPage{CGAL::compute_normal_of_cell_0<LCC>}\\
\end{ccRefFunction}
%--------------------------------------------------------------------------------
% \begin{ccRefFunction}{insert_barycenter_in_cell<LCC,i>}
% \ccInclude{Combinatorial_map_operations.h}\\
% \ccFunction{template <class LCC, unsigned int i>
% typename LCC::Dart_handle insert_barycenter_in_cell(LCC& lcc,
% typename LCC::Dart_handle dh);}
% {Inserts a point in the barycenter of the \emph{i}-cell containing \ccc{dh}.
% Returns an handle on one dart of this cell.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}1 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}\\
% % \begin{ccAdvanced}
% If \emph{i}-attributes are non void,
% \ccc{Attribute_type<i>::type::On_split}(\emph{a},\emph{a'}) is called,
% with \emph{a} the original \emph{i}-attribute associated
% with \emph{dh} and \emph{a'} each new \emph{i}-attribute created during the operation.
% % \end{ccAdvanced}
% }
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::insert_cell_0_in_cell_1<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_cell_0_in_cell_2<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_barycenter_in_cell<LCC,i>}\\
% \ccRefIdfierPage{CGAL::insert_dangling_cell_1_in_cell_2<LCC>}\\
% \end{ccRefFunction}
%--------------------------------------------------------------------------------
% \begin{ccRefFunction}{insert_point_in_cell<LCC,i>}
% \ccInclude{Combinatorial_map_operations.h}\\
% \ccFunction{template <class LCC, unsigned int i>
% typename LCC::Dart_handle insert_point_in_cell(LCC& lcc,
% typename LCC::Dart_handle dh,
% typename LCC::Point p);}
% {Inserts a point, copy of \ccc{p}, in the \emph{i}-cell containing \ccc{dh}.
% Returns an handle on one dart of this cell.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}1 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}\\
% % \begin{ccAdvanced}
% If \emph{i}-attributes are non void,
% \ccc{Attribute_type<i>::type::On_split}(\emph{a},\emph{a'}) is called,
% with $a$ the original \emph{i}-attribute associated
% with $dh$ and $a'$ each new \emph{i}-attribute created during the operation.
% % \end{ccAdvanced}
% }
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::insert_barycenter_in_cell<LCC,i>}\\
% \ccRefIdfierPage{CGAL::insert_dangling_cell_1_in_cell_2<LCC>}\\
% \end{ccRefFunction}
%--------------------------------------------------------------------------------
% \begin{ccRefFunction}{insert_cell_0_in_cell_2<LCC>}
% \ccInclude{Linear_cell_complex_operations.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle insert_cell_0_in_cell_2(LCC & lcc,
% typename LCC::Dart_handle dh,
% typename LCC::Point p);}
% {Inserts a 0-cell in the 2-cell containing \ccc{dh}, associated with
% a 0-attribute having \ccc{p} as point.
% The 2-cell is splitted in triangles, one for each initial edge of the facet.
% Returns an handle on one dart belonging to the new 0-cell.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}\\
% % \begin{ccAdvanced}
% If 2-attributes are non void,
% \ccc{Attribute_type<2>::type::On_split}(\emph{a},\emph{a'}) is called,
% with \emph{a} the original 2-attribute associated
% with \emph{dh} and \emph{a'} each new 2-attribute created during the operation.
% % \end{ccAdvanced}
% }
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::insert_middle_cell_0_in_cell_1<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_cell_0_in_cell_1<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_center_cell_0_in_cell_2<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_dangling_cell_1_in_cell_2<LCC>}\\
% \end{ccRefFunction}
%--------------------------------------------------------------------------------
% \begin{ccRefFunction}{insert_center_cell_0_in_cell_2<LCC>}
% \ccInclude{Linear_cell_complex_operations.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle insert_center_cell_0_in_cell_2(LCC & lcc,
% typename LCC::Dart_handle dh);}
% {Inserts a 0-cell in the barycenter of the 2-cell containing \ccc{dh}.
% The 2-cell is splitted in triangles, one for each initial edge of the facet.
% Returns an handle on one dart belonging to the new 0-cell.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}\\
% % \begin{ccAdvanced}
% If 2-attributes are non void,
% \ccc{Attribute_type<2>::type::On_split}(\emph{a},\emph{a'}) is called,
% with \emph{a} the original 2-attribute associated
% with \emph{dh} and \emph{a'} each new 2-attribute created during the operation.
% % \end{ccAdvanced}
% }
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::barycenter<LCC,i>}\\
% \ccRefIdfierPage{CGAL::insert_middle_cell_0_in_cell_1<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_cell_0_in_cell_1<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_cell_0_in_cell_2<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_dangling_cell_1_in_cell_2<LCC>}\\
% \end{ccRefFunction}
%--------------------------------------------------------------------------------
% \begin{ccRefFunction}{insert_dangling_cell_1_in_cell_2<LCC>}
% \ccInclude{Combinatorial_map_operations.h}\\
% \ccFunction{template <class LCC>
% typename LCC::Dart_handle insert_dangling_cell_1_in_cell_2(LCC& lcc,
% typename LCC::Dart_handle dh,
% typename LCC::Point p);}
% {Inserts a 1-cell in a the 2-cell containing \ccc{adart}, the 1-cell
% being attached only by one of its vertex to the 0-cell containing \ccc{dh}.
% The second vertex is associated with a new 0-attribute containing a copy of
% \ccc{p} as point. Returns an handle on one dart belonging to the new 0-cell.
% \ccPrecond{\ccc{LCC::dimension}\mygeq{}2 and \ccc{*dh}\myin{}\ccc{lcc.darts()}.}
% }
% \ccSeeAlso
% \ccRefIdfierPage{CGAL::insert_middle_cell_0_in_cell_1<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_cell_0_in_cell_1<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_cell_0_in_cell_2<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_center_cell_0_in_cell_2<LCC>}\\
% \end{ccRefFunction}
%--------------------------------------------------------------------------------
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+

152
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% +------------------------------------------------------------------------+
% | Reference manual page: LinearCellComplexTraits.tex
% +------------------------------------------------------------------------+
% | 04.02.2010 Guillaume Damiand
% | Package: Combinatorial_map
% +------------------------------------------------------------------------+
\ccRefPageBegin
%%RefPage: end of header, begin of main body
% +------------------------------------------------------------------------+
\begin{ccRefClass}{Linear_cell_complex_traits<d,K>}
\ccInclude{CGAL/Linear_cell_complex_traits.h}
\ccDefinition
This geometric traits concept is used in the
\ccc{Linear_cell_complex} class. It can take as parameter any model of the
concept \ccc{Kernel} (for example any \cgal\ kernel), and define inner
types and functors corresponding to the given dimension.
\ccIsModel
\ccRefConceptPage{LinearCellComplexTraits}
\ccInheritsFrom
\ccc{K}.
\ccParameters
\ccc{d} the dimension of the kernel\\
\ccc{K} a model of the concept \ccc{Kernel} if \ccc{d==2} or
\ccc{d==3}; a model of the concept \ccc{Kernel_d} otherwise.
\ccConstants
\ccVariable{static unsigned int ambient_dimension = d;}{}
% \ccTypes
% \ccTypedef{typedef K Kernel;}{}
\ccSeeAlso
%\ccRefConceptPage{LinearCellComplex}\\
\ccRefIdfierPage{CGAL::Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}\\
\ccRefConceptPage{LinearCellComplexItems}
\end{ccRefClass}
% +------------------------------------------------------------------------+
%%RefPage: end of main body, begin of footer
\ccRefPageEnd
% EOF
% +------------------------------------------------------------------------+
%for example \ccc{CGAL::Cartesian<double>} or \ccc{CGAL::Simple_cartesian<CGAL::Gmpq>}.
% \ccRefines
% \ccc{CopyConstructable}, \ccc{Assignable}.
% ... Question is all these typedef required ?
% \ccTypes
% % \ccNestedType{Kernel}{kernel type.}
% \ccTypedef{Kernel::FT FT;}{Number type.}
% \subsection{If \ccc{Dimension==2}}
% \ccTypes
% \ccTypedef{Kernel::Point_2 Point;}{point type.}
% \ccGlue
% \ccTypedef{Kernel::Vector_2 Vector;}{vector type.}
% % \ccGlue
% % \ccTypedef{Kernel::Iso_rectangle_2 Iso_rectangle}{iso rectangle type.}
% \ccHeading{Constructions}
% \ccTypedef{Kernel::Construct_translated_point_2 Construct_translated_point;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_vector_2 Construct_vector;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_sum_of_vectors_2 Construct_sum_of_vectors;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_scaled_vector_2 Construct_scaled_vector;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_midpoint_2 Construct_midpoint;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_direction_2 Construct_direction;}{}
% ...
% \subsection{If \ccc{Dimension==3}}
% \ccTypes
% \ccTypedef{Kernel::Point_3 Point;}{point type.}
% \ccGlue
% \ccTypedef{Kernel::Vector_3 Vector;}{vector type.}
% % \ccGlue
% % \ccTypedef{Kernel::Iso_cuboid_3 }{iso cuboid type.}
% \ccHeading{Constructions}
% \ccTypedef{Kernel::Construct_translated_point_3 Construct_translated_point;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_vector_3 Construct_vector;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_sum_of_vectors_3 Construct_sum_of_vectors;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_scaled_vector_3 Construct_scaled_vector;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_midpoint_3 Construct_midpoint;}{}
% \ccGlue
% \ccTypedef{Kernel::Construct_direction_3 Construct_direction;}{}
% ...
% \subsection{If \ccc{Dimension>3}}
% \ccTypes
% \ccTypedef{Kernel::Point_d;}{point type.}
% \ccGlue
% \ccTypedef{Kernel::Vector_d;}{vector type.}
% \ccHeading{Constructions}
% \ccTypedef{Kernel::Construct_vector_d;}{a model of \ccc{Kernel::ConstructVector_d}}
% \ccGlue
% \ccTypedef{Kernel::Construct_midpoint_d;}{a model of \ccc{Kernel::ConstructMidpoint_d}}
% \ccGlue
% \ccTypedef{Kernel::Point_to_vector_d;}{a model of \ccc{Kernel::Point_to_vector_d}}
% \ccHeading{Generalized Predicates}
% \ccTypedef{Kernel::Compare_lexicographically_d;}{a model of \ccc{Kernel::Compare_lexicographically_d}}
% \ccHeading{Operators}
% Because there is no construction for these operations.
% \ccTypedef{Vector_d(int,Base_vector,FT);}{}
% \ccGlue
% \ccTypedef{operator+(Point_d,Point_d);}{}
% \ccGlue
% \ccTypedef{operator+(Point_d,Vector_d);}{}
% \ccGlue
% \ccTypedef{operator+(Vector_d,Vector_d);}{}
% \ccGlue
% \ccTypedef{operator*(Vector_d,FT);}{}

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47
Linear_cell_complex/doc_tex/Linear_cell_complex_ref/intro.tex
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\ccRefChapter{Linear cell complex}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Classified Reference Pages}
\subsection{Concepts}
%\ccRefConceptPage{LinearCellComplex}\\
\ccRefConceptPage{LinearCellComplexTraits}\\
\ccRefConceptPage{LinearCellComplexItems}\\
\ccRefConceptPage{CellAttributeWithPoint}
%\ccRefConceptPage{LinearCellComplexTraitsVector}
\subsection{Classes}
\ccRefIdfierPage{CGAL::Linear_cell_complex<d,d2,Traits_,Items_,Alloc_>}\\
\ccRefIdfierPage{CGAL::Linear_cell_complex_min_items<d>}\\
\ccRefIdfierPage{CGAL::Linear_cell_complex_traits<d,K>}\\
%\ccRefIdfierPage{CGAL::Linear_cell_complex_cartesian_traits}\\
%\ccRefIdfierPage{CGAL::Linear_cell_complex_epik_traits}\\
\ccRefIdfierPage{CGAL::Cell_attribute_with_point<LCC,Info_,Tag,OnMerge,OnSplit>}
%\ccRefIdfierPage{CGAL::Cell_attribute_with_point_and_info}
\subsection{Global Functions}
\subsubsection{Constructions for Linear cell complex}
% \ccRefIdfierPage{CGAL::make_segment<LCC>}\\
% \ccRefIdfierPage{CGAL::make_triangle<LCC>}\\
% \ccRefIdfierPage{CGAL::make_quadrangle<LCC>}\\
%\ccRefIdfierPage{CGAL::make_rectangle<LCC>}\\
%\ccRefIdfierPage{CGAL::make_square}\\
% \ccRefIdfierPage{CGAL::make_tetrahedron<LCC>}\\
% \ccRefIdfierPage{CGAL::make_hexahedron<LCC>}\\
%\ccRefIdfierPage{CGAL::make_iso_cuboid<LCC>}\\
%\ccRefIdfierPage{CGAL::make_cube}\\
\ccRefIdfierPage{CGAL::import_from_plane_graph<LCC>}\\
\ccRefIdfierPage{CGAL::import_from_triangulation_3<LCC,Triangulation>}\\
\ccRefIdfierPage{CGAL::import_from_polyhedron<LCC,Polyhedron>}
\subsubsection{Operations for Linear cell complex}
%\ccRefIdfierPage{CGAL::barycenter<LCC,i>}\\
\ccRefIdfierPage{CGAL::compute_normal_of_cell_0<LCC>}\\
\ccRefIdfierPage{CGAL::compute_normal_of_cell_2<LCC>}\\
% \ccRefIdfierPage{CGAL::insert_barycenter_in_cell<LCC,i>}\\
% \ccRefIdfierPage{CGAL::insert_point_in_cell<LCC,i>}\\
% \ccRefIdfierPage{CGAL::insert_dangling_cell_1_in_cell_2<LCC>}

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Linear_cell_complex/doc_tex/Linear_cell_complex_ref/main.tex
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% +------------------------------------------------------------------------+
% | CBP Reference Manual: main.tex
% +------------------------------------------------------------------------+
% | Automatically generated driver file for the reference manual chapter
% | of this package. Do not edit manually, you may loose your changes.
% +------------------------------------------------------------------------+
\def\ccTagRmTrailingConst{\ccFalse}
\input{Linear_cell_complex_ref/intro.tex}
% First: concepts
% \input{Linear_cell_complex_ref/LinearCellComplex.tex}
\input{Linear_cell_complex_ref/LinearCellComplexTraits.tex}
\input{Linear_cell_complex_ref/LinearCellComplexItems.tex}
\input{Linear_cell_complex_ref/CellAttributeWithPoint.tex}
%\input{Linear_cell_complex_ref/LinearCellComplexTraitsVector.tex}
% Second: classes
\input{Linear_cell_complex_ref/Linear_cell_complex.tex}
\input{Linear_cell_complex_ref/Linear_cell_complex_min_items.tex}
\input{Linear_cell_complex_ref/Linear_cell_complex_traits.tex}
%\input{Linear_cell_complex_ref/Linear_cell_complex_cartesian_traits.tex}
%\input{Linear_cell_complex_ref/Linear_cell_complex_epik_traits.tex}
\input{Linear_cell_complex_ref/Cell_attribute_with_point.tex}
%\input{Linear_cell_complex_ref/Cell_attribute_with_point_and_info.tex}
% Third: global functions.
\input{Linear_cell_complex_ref/Linear_cell_complex_constructors.tex}
\input{Linear_cell_complex_ref/Linear_cell_complex_operations.tex}
%% EOF

0
Linear_cell_complex/dont_submit
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Linear_cell_complex/examples/Linear_cell_complex/CMakeLists.txt
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# Created by the script cgal_create_cmake_script
# This is the CMake script for compiling a CGAL application.
# cmake ../ -DCMAKE_BUILD_TYPE=Debug
# ou
# cmake ../ -DCMAKE_BUILD_TYPE=Release
project( Map_3_examples )
CMAKE_MINIMUM_REQUIRED(VERSION 2.4.5)
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++0x -Wall")
set(CMAKE_ALLOW_LOOSE_LOOP_CONSTRUCTS true)
if ( COMMAND cmake_policy )
cmake_policy( SET CMP0003 NEW )
endif()
if (CMAKE_BUILD_TYPE STREQUAL "Debug")
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -O0")
endif()
# ADD_DEFINITIONS("-pg")
# set(CMAKE_EXE_LINKER_FLAGS "${CMAKE_EXE_LINKER_FLAGS} -pg")
# Pour le problème de valgrind avec CGAL
# add_definition(-DCGAL_DISABLE_ROUNDING_MATH_CHECK)
find_package(CGAL QUIET COMPONENTS Core )
if ( CGAL_FOUND )
include( ${CGAL_USE_FILE} )
include( CGAL_CreateSingleSourceCGALProgram )
include_directories(BEFORE ../../include)
include_directories(BEFORE ../../../Combinatorial_map/include)
create_single_source_cgal_program( "linear_cell_complex_3.cpp" )
create_single_source_cgal_program( "linear_cell_complex_4.cpp" )
create_single_source_cgal_program( "linear_cell_complex_3_with_colored_vertices.cpp" )
create_single_source_cgal_program( "map_3_subdivision.cpp" )
create_single_source_cgal_program( "plane_graph_to_map_2.cpp" )
create_single_source_cgal_program( "map_3_iterators.cpp" )
create_single_source_cgal_program( "exemple_incremental_builder.cpp" )
create_single_source_cgal_program( "polyhedron_clear.cpp" )
# If you want to visualize a map, there are 2 viewers based on qt and vtk
#include_directories("../../include/CGAL/Combinatorial_map_viewers/" )
#include("../../include/CGAL/Combinatorial_map_viewers/CMakeMapViewerQt.inc")
#include("../../include/CGAL/Combinatorial_map_viewers/CMakeMapViewerVtk.inc")
add_executable(voronoi_3 voronoi_3.cpp)
target_link_libraries(voronoi_3 ${CGAL_LIBRARIES} ${CGAL_3RD_PARTY_LIBRARIES})
# target_link_libraries(voronoi_3 ${MAP_VIEWER_LIBRARIES_QT})
# target_link_libraries(voronoi_3 ${MAP_VIEWER_LIBRARIES_VTK})
else()
message(STATUS "This program requires the CGAL library, and will not be compiled.")
endif()

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