Commit for the modifications regarding the initial implementation of the _real_ triangulation of the Bolza surface. For the time being only contains the initialization with the dummy points and a simple test. The demo that existed has been moved into a subdirectory (see the file readme.txt)

Periodic_4_hyperbolic_triangulation_2/demo/Periodic_4_hyperbolic_triangulation_2/CMakeLists.txt

@@ -1,37 +1,42 @@
 # Created by the script cgal_create_cmake_script
 # This is the CMake script for compiling a CGAL application.
 
-project (Periodic_4_hyperbolic_triangulation_2_demo)
+project (Playground)
 
 # Find includes in corresponding build directories
 set(CMAKE_INCLUDE_CURRENT_DIR ON)
 
 # Instruct CMake to run moc automatically when needed.
-set(CMAKE_AUTOMOC ON) 
+#set(CMAKE_AUTOMOC ON) 
 
 cmake_minimum_required(VERSION 2.8.11)
 if(POLICY CMP0043)
   cmake_policy(SET CMP0043 OLD)
 endif()
 
-find_package(CGAL COMPONENTS Qt5)
+find_package(CGAL QUIET COMPONENTS Core)
 include(${CGAL_USE_FILE})
 
 find_package(Qt5 QUIET COMPONENTS Widgets)
 
-include_directories (BEFORE ../../../Hyperbolic_triangulation_2/include ../../include include)
+find_package( Boost REQUIRED )
+include_directories(${Boost_INCLUDE_DIRS})
+
+include_directories (BEFORE ../../../Hyperbolic_triangulation_2/include ../../../Hyperbolic_triangulation_2/demo/Hyperbolic_triangulation_2/include ../../include include)
 
 # ui files, created with Qt Designer
-qt5_wrap_ui( uis Periodic_4_hyperbolic_triangulation_2.ui )
+#qt5_wrap_ui( uis Periodic_4_hyperbolic_triangulation_2.ui )
 
 # qrc files (resources files, that contain icons, at least)
-qt5_add_resources ( RESOURCE_FILES resources/Periodic_4_hyperbolic_triangulation_2.qrc )
+#qt5_add_resources ( RESOURCE_FILES resources/Periodic_4_hyperbolic_triangulation_2.qrc )
 
 
 # cpp files
 
-add_executable ( Periodic_4_hyperbolic_Delaunay_triangulation_2_demo Periodic_4_hyperbolic_Delaunay_triangulation_2_demo.cpp )
+add_executable ( Playground playground.cpp )
-qt5_use_modules( Periodic_4_hyperbolic_Delaunay_triangulation_2_demo Widgets)
+add_executable ( Triangulation triangulation.cpp )
-add_to_cached_list( CGAL_EXECUTABLE_TARGETS Periodic_4_hyperbolic_Delaunay_triangulation_2_demo )
+#qt5_use_modules( Playground Widgets )
-target_link_libraries( Periodic_4_hyperbolic_Delaunay_triangulation_2_demo ${CGAL_LIBRARIES} ${QT_LIBRARIES} ${CGAL_QT_LIBRARIES} )
+target_link_libraries( Playground ${CGAL_LIBRARIES} )
+target_link_libraries( Triangulation ${CGAL_LIBRARIES} ${CGAL_3RD_PARTY_LIBRARIES} ${Boost_LIBRARIES} )
+
 

Periodic_4_hyperbolic_triangulation_2/demo/Periodic_4_hyperbolic_triangulation_2/backup/CMakeLists.txt

@@ -0,0 +1,37 @@
+# Created by the script cgal_create_cmake_script
+# This is the CMake script for compiling a CGAL application.
+
+project (Periodic_4_hyperbolic_triangulation_2_demo)
+
+# Find includes in corresponding build directories
+set(CMAKE_INCLUDE_CURRENT_DIR ON)
+
+# Instruct CMake to run moc automatically when needed.
+set(CMAKE_AUTOMOC ON) 
+
+cmake_minimum_required(VERSION 2.8.11)
+if(POLICY CMP0043)
+  cmake_policy(SET CMP0043 OLD)
+endif()
+
+find_package(CGAL COMPONENTS Qt5)
+include(${CGAL_USE_FILE})
+
+find_package(Qt5 QUIET COMPONENTS Widgets)
+
+include_directories (BEFORE ../../../Hyperbolic_triangulation_2/include ../../include include)
+
+# ui files, created with Qt Designer
+qt5_wrap_ui( uis Periodic_4_hyperbolic_triangulation_2.ui )
+
+# qrc files (resources files, that contain icons, at least)
+qt5_add_resources ( RESOURCE_FILES resources/Periodic_4_hyperbolic_triangulation_2.qrc )
+
+
+# cpp files
+
+add_executable ( Periodic_4_hyperbolic_Delaunay_triangulation_2_demo Periodic_4_hyperbolic_Delaunay_triangulation_2_demo.cpp )
+qt5_use_modules( Periodic_4_hyperbolic_Delaunay_triangulation_2_demo Widgets)
+add_to_cached_list( CGAL_EXECUTABLE_TARGETS Periodic_4_hyperbolic_Delaunay_triangulation_2_demo )
+target_link_libraries( Periodic_4_hyperbolic_Delaunay_triangulation_2_demo ${CGAL_LIBRARIES} ${QT_LIBRARIES} ${CGAL_QT_LIBRARIES} )
+

Periodic_4_hyperbolic_triangulation_2/demo/Periodic_4_hyperbolic_triangulation_2/include/ui_Periodic_4_hyperbolic_Delaunay_triangulation_2.h

@@ -1,397 +0,0 @@
-/********************************************************************************
-** Form generated from reading UI file 'Hyperbolic_translations_2.ui'
-**
-** Created by: Qt User Interface Compiler version 4.8.7
-**
-** WARNING! All changes made in this file will be lost when recompiling UI file!
-********************************************************************************/
-
-#ifndef UI_PERIODIC_4_HYPERBOLIC_DELAUNAY_TRIANGULATION_H
-#define UI_PERIODIC_4_HYPERBOLIC_DELAUNAY_TRIANGULATION_H
-
-#if QT_VERSION >= 0x050000
-
-    #include <QVariant>
-    #include <QAction>
-    #include <QApplication>
-    #include <QButtonGroup>
-    #include <QGraphicsView>
-    #include <QGridLayout>
-    #include <QHeaderView>
-    #include <QMainWindow>
-    #include <QMenu>
-    #include <QMenuBar>
-    #include <QStatusBar>
-    #include <QToolBar>
-    #include <QWidget>
-
-#else
-
-    #include <QtCore/QVariant>
-    #include <QtGui/QAction>
-    #include <QtGui/QApplication>
-    #include <QtGui/QButtonGroup>
-    #include <QtGui/QGraphicsView>
-    #include <QtGui/QGridLayout>
-    #include <QtGui/QHeaderView>
-    #include <QtGui/QMainWindow>
-    #include <QtGui/QMenu>
-    #include <QtGui/QMenuBar>
-    #include <QtGui/QStatusBar>
-    #include <QtGui/QToolBar>
-    #include <QtGui/QWidget>
-
-#endif
-
-QT_BEGIN_NAMESPACE
-
-class Ui_Periodic_4_hyperbolic_Delaunay_triangulation_2
-{
-public:
-    QAction *actionAbout;
-    QAction *actionAboutCGAL;
-    QAction *actionQuit;
-    QAction *actionInsertRandomPoints;
-    QAction *actionMovingPoint;
-    QAction *actionInsertPoint;
-    QAction *actionClear;
-    QAction *actionInsertPointOnFundamentalSide;
-    QAction *actionInsertPointOnAxis;
-    QAction *actionInsertOrigin;
-    QAction *actionInsertDummyPoints;
-    QAction *actionModifyDepth;
-    QAction *actionShowVoronoi;
-    QAction *actionShowDelaunay;
-    QAction *actionLoadPoints;
-    QAction *actionSavePoints;
-    QAction *actionCircumcenter;
-    QAction *actionRecenter;
-    QAction *actionShowConflictZone;
-    QAction *actionDo_translation_a;
-    QAction *actionDo_translation_b;
-    QAction *actionDo_translation_c;
-    QAction *actionDo_translation_d;
-    QAction *actionG;
-    QAction *actionG2;
-    QAction *actionG4;
-    QAction *actionG8;
-    QAction *actionG16;
-    QWidget *centralwidget;
-    QGridLayout *gridLayout;
-    QGraphicsView *graphicsView;
-    QStatusBar *statusbar;
-    QToolBar *fileToolBar;
-    QToolBar *toolBar;
-    QMenuBar *menubar;
-    QMenu *menuFile;
-    QMenu *menuEdit;
-    QMenu *menuTools;
-
-    void setupUi(QMainWindow *Periodic_4_hyperbolic_Delaunay_triangulation_2)
-    {
-        if (Periodic_4_hyperbolic_Delaunay_triangulation_2->objectName().isEmpty())
-            Periodic_4_hyperbolic_Delaunay_triangulation_2->setObjectName(QString::fromUtf8("Periodic_4_hyperbolic_Delaunay_triangulation_2"));
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->resize(800, 600);
-        QIcon icon;
-        icon.addFile(QString::fromUtf8(":/cgal/logos/cgal_icon"), QSize(), QIcon::Normal, QIcon::Off);
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->setWindowIcon(icon);
-        actionAbout = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionAbout->setObjectName(QString::fromUtf8("actionAbout"));
-        actionAboutCGAL = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionAboutCGAL->setObjectName(QString::fromUtf8("actionAboutCGAL"));
-        actionQuit = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionQuit->setObjectName(QString::fromUtf8("actionQuit"));
-        actionInsertRandomPoints = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionInsertRandomPoints->setObjectName(QString::fromUtf8("actionInsertRandomPoints"));
-        
-        actionInsertPointOnAxis = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionInsertPointOnAxis->setObjectName(QString::fromUtf8("actionInsertPointOnAxis"));
-
-        actionInsertPointOnFundamentalSide = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionInsertPointOnFundamentalSide->setObjectName(QString::fromUtf8("actionInsertPointOnFundamentalSide"));
-
-        actionInsertOrigin = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionInsertOrigin->setObjectName(QString::fromUtf8("actionInsertOrigin"));
-        actionInsertDummyPoints = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionInsertDummyPoints->setObjectName(QString::fromUtf8("actionInsertDummyPoints"));
-        actionModifyDepth = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionModifyDepth->setObjectName(QString::fromUtf8("actionModifyDepth"));
-        actionMovingPoint = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionMovingPoint->setObjectName(QString::fromUtf8("actionMovingPoint"));
-        actionMovingPoint->setCheckable(true);
-        QIcon icon1;
-        icon1.addFile(QString::fromUtf8(":/cgal/Actions/icons/moving_point.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionMovingPoint->setIcon(icon1);
-        actionInsertPoint = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionInsertPoint->setObjectName(QString::fromUtf8("actionInsertPoint"));
-        actionInsertPoint->setCheckable(true);
-        actionInsertPoint->setChecked(false);
-        QIcon icon2;
-        icon2.addFile(QString::fromUtf8(":/cgal/Input/inputPoint.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionInsertPoint->setIcon(icon2);
-        actionClear = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionClear->setObjectName(QString::fromUtf8("actionClear"));
-        QIcon icon3;
-        icon3.addFile(QString::fromUtf8(":/cgal/fileToolbar/fileNew.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionClear->setIcon(icon3);
-        actionShowVoronoi = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionShowVoronoi->setObjectName(QString::fromUtf8("actionShowVoronoi"));
-        actionShowVoronoi->setCheckable(true);
-        actionShowVoronoi->setChecked(false);
-        QIcon icon4;
-        icon4.addFile(QString::fromUtf8(":/cgal/Triangulation_2/Voronoi_diagram_2.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionShowVoronoi->setIcon(icon4);
-        actionShowDelaunay = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionShowDelaunay->setObjectName(QString::fromUtf8("actionShowDelaunay"));
-        actionShowDelaunay->setCheckable(true);
-        QIcon icon5;
-        icon5.addFile(QString::fromUtf8(":/cgal/Actions/icons/triangulation.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionShowDelaunay->setIcon(icon5);
-        actionLoadPoints = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionLoadPoints->setObjectName(QString::fromUtf8("actionLoadPoints"));
-        QIcon icon6;
-        icon6.addFile(QString::fromUtf8(":/cgal/fileToolbar/fileOpen.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionLoadPoints->setIcon(icon6);
-        actionSavePoints = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionSavePoints->setObjectName(QString::fromUtf8("actionSavePoints"));
-        QIcon icon7;
-        icon7.addFile(QString::fromUtf8(":/cgal/fileToolbar/fileSave.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionSavePoints->setIcon(icon7);
-        actionCircumcenter = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionCircumcenter->setObjectName(QString::fromUtf8("actionCircumcenter"));
-        actionCircumcenter->setCheckable(true);
-        QIcon icon8;
-        icon8.addFile(QString::fromUtf8(":/cgal/Actions/icons/circumcenter.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionCircumcenter->setIcon(icon8);
-        actionRecenter = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionRecenter->setObjectName(QString::fromUtf8("actionRecenter"));
-        QIcon icon9;
-        icon9.addFile(QString::fromUtf8(":/cgal/Input/zoom-best-fit"), QSize(), QIcon::Normal, QIcon::Off);
-        actionRecenter->setIcon(icon9);
-        actionShowConflictZone = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionShowConflictZone->setObjectName(QString::fromUtf8("actionShowConflictZone"));
-        actionShowConflictZone->setCheckable(true);
-        QIcon icon10;
-        icon10.addFile(QString::fromUtf8(":/cgal/Actions/icons/conflict_zone.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionShowConflictZone->setIcon(icon10);
-        actionDo_translation_a = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionDo_translation_a->setObjectName(QString::fromUtf8("actionDo_translation_a"));
-        actionDo_translation_a->setCheckable(true);
-        QIcon icon11;
-        icon11.addFile(QString::fromUtf8(":/cgal/Actions/icons/a.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionDo_translation_a->setIcon(icon11);
-        actionDo_translation_b = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionDo_translation_b->setObjectName(QString::fromUtf8("actionDo_translation_b"));
-        actionDo_translation_b->setCheckable(true);
-        QIcon icon12;
-        icon12.addFile(QString::fromUtf8(":/cgal/Actions/icons/b.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionDo_translation_b->setIcon(icon12);
-        actionDo_translation_c = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionDo_translation_c->setObjectName(QString::fromUtf8("actionDo_translation_c"));
-        actionDo_translation_c->setCheckable(true);
-        QIcon icon13;
-        icon13.addFile(QString::fromUtf8(":/cgal/Actions/icons/c.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionDo_translation_c->setIcon(icon13);
-        actionDo_translation_d = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionDo_translation_d->setObjectName(QString::fromUtf8("actionDo_translation_d"));
-        actionDo_translation_d->setCheckable(true);
-        QIcon icon14;
-        icon14.addFile(QString::fromUtf8(":/cgal/Actions/icons/d.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionDo_translation_d->setIcon(icon14);
-        actionG = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionG->setObjectName(QString::fromUtf8("actionG"));
-        actionG->setCheckable(true);
-        QIcon icon15;
-        icon15.addFile(QString::fromUtf8(":/cgal/Actions/icons/G.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionG->setIcon(icon15);
-        actionG2 = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionG2->setObjectName(QString::fromUtf8("actionG2"));
-        actionG2->setCheckable(true);
-        QIcon icon16;
-        icon16.addFile(QString::fromUtf8(":/cgal/Actions/icons/G2.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionG2->setIcon(icon16);
-        actionG4 = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionG4->setObjectName(QString::fromUtf8("actionG4"));
-        actionG4->setCheckable(true);
-        QIcon icon17;
-        icon17.addFile(QString::fromUtf8(":/cgal/Actions/icons/G4.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionG4->setIcon(icon17);
-        actionG8 = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionG8->setObjectName(QString::fromUtf8("actionG8"));
-        actionG8->setCheckable(true);
-        QIcon icon18;
-        icon18.addFile(QString::fromUtf8(":/cgal/Actions/icons/G8.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionG8->setIcon(icon18);
-        actionG16 = new QAction(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        actionG16->setObjectName(QString::fromUtf8("actionG16"));
-        actionG16->setCheckable(true);
-        QIcon icon19;
-        icon19.addFile(QString::fromUtf8(":/cgal/Actions/icons/G16.png"), QSize(), QIcon::Normal, QIcon::Off);
-        actionG16->setIcon(icon19);
-        centralwidget = new QWidget(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        centralwidget->setObjectName(QString::fromUtf8("centralwidget"));
-        gridLayout = new QGridLayout(centralwidget);
-        gridLayout->setObjectName(QString::fromUtf8("gridLayout"));
-        graphicsView = new QGraphicsView(centralwidget);
-        graphicsView->setObjectName(QString::fromUtf8("graphicsView"));
-        graphicsView->setFocusPolicy(Qt::StrongFocus);
-        graphicsView->setVerticalScrollBarPolicy(Qt::ScrollBarAlwaysOn);
-        graphicsView->setHorizontalScrollBarPolicy(Qt::ScrollBarAlwaysOn);
-        graphicsView->setTransformationAnchor(QGraphicsView::NoAnchor);
-
-        gridLayout->addWidget(graphicsView, 0, 0, 1, 1);
-
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->setCentralWidget(centralwidget);
-        statusbar = new QStatusBar(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        statusbar->setObjectName(QString::fromUtf8("statusbar"));
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->setStatusBar(statusbar);
-        fileToolBar = new QToolBar(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        fileToolBar->setObjectName(QString::fromUtf8("fileToolBar"));
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->addToolBar(Qt::TopToolBarArea, fileToolBar);
-        toolBar = new QToolBar(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        toolBar->setObjectName(QString::fromUtf8("toolBar"));
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->addToolBar(Qt::TopToolBarArea, toolBar);
-        menubar = new QMenuBar(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-        menubar->setObjectName(QString::fromUtf8("menubar"));
-        menubar->setGeometry(QRect(0, 0, 800, 22));
-        menuFile = new QMenu(menubar);
-        menuFile->setObjectName(QString::fromUtf8("menuFile"));
-        menuEdit = new QMenu(menubar);
-        menuEdit->setObjectName(QString::fromUtf8("menuEdit"));
-        menuTools = new QMenu(menubar);
-        menuTools->setObjectName(QString::fromUtf8("menuTools"));
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->setMenuBar(menubar);
-
-        fileToolBar->addAction(actionClear);
-        fileToolBar->addAction(actionLoadPoints);
-        fileToolBar->addAction(actionSavePoints);
-        toolBar->addAction(actionInsertPoint);
-        toolBar->addAction(actionDo_translation_a);
-        toolBar->addAction(actionDo_translation_b);
-        toolBar->addAction(actionDo_translation_c);
-        toolBar->addAction(actionDo_translation_d);
-        toolBar->addAction(actionMovingPoint);
-        toolBar->addAction(actionCircumcenter);
-        toolBar->addAction(actionShowConflictZone);
-        toolBar->addSeparator();
-        toolBar->addAction(actionShowDelaunay);
-        toolBar->addAction(actionShowVoronoi);
-        toolBar->addSeparator();
-        toolBar->addAction(actionRecenter);
-        menubar->addAction(menuFile->menuAction());
-        menubar->addAction(menuEdit->menuAction());
-        menubar->addAction(menuTools->menuAction());
-        menuFile->addSeparator();
-        menuFile->addAction(actionClear);
-        menuFile->addAction(actionLoadPoints);
-        menuFile->addAction(actionSavePoints);
-        menuFile->addSeparator();
-        menuFile->addAction(actionQuit);
-        menuEdit->addAction(actionInsertRandomPoints);
-        menuEdit->addAction(actionInsertPointOnFundamentalSide);
-        menuEdit->addAction(actionInsertPointOnAxis);
-        menuEdit->addAction(actionInsertOrigin);
-        menuEdit->addAction(actionInsertDummyPoints);
-        menuEdit->addAction(actionModifyDepth);
-        menuTools->addAction(actionInsertPoint);
-        menuTools->addAction(actionDo_translation_a);
-        menuTools->addAction(actionDo_translation_b);
-        menuTools->addAction(actionDo_translation_c);
-        menuTools->addAction(actionDo_translation_d);
-        menuTools->addAction(actionG);
-        menuTools->addAction(actionG2);
-        menuTools->addAction(actionG4);
-        menuTools->addAction(actionG8);
-        menuTools->addAction(actionG16);
-        menuTools->addAction(actionMovingPoint);
-        menuTools->addAction(actionCircumcenter);
-        menuTools->addAction(actionShowConflictZone);
-        menuTools->addSeparator();
-        menuTools->addAction(actionShowDelaunay);
-        menuTools->addAction(actionShowVoronoi);
-        menuTools->addSeparator();
-        menuTools->addAction(actionRecenter);
-
-        retranslateUi(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-
-        QMetaObject::connectSlotsByName(Periodic_4_hyperbolic_Delaunay_triangulation_2);
-    } // setupUi
-
-    void retranslateUi(QMainWindow *Periodic_4_hyperbolic_Delaunay_triangulation_2)
-    {
-        Periodic_4_hyperbolic_Delaunay_triangulation_2->setWindowTitle(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "CGAL Periodic hyperbolic Delaunay Triangulation", 0));
-        actionAbout->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&About", 0));
-        actionAboutCGAL->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "About &CGAL", 0));
-        actionQuit->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Quit", 0));
-        actionQuit->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+Q", 0));
-        actionInsertRandomPoints->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Insert random points", 0));
-        actionInsertRandomPoints->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+I", 0));
-        
-        actionInsertPointOnAxis->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Insert point on Y-axis", 0));
-        actionInsertPointOnFundamentalSide->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Insert point on side of D_o", 0));
-
-        actionInsertOrigin->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Insert Origin", 0));
-        actionInsertOrigin->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+Alt+O", 0));
-        actionInsertDummyPoints->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Insert dummy points", 0));
-        actionInsertDummyPoints->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+Alt+D", 0));
-        actionModifyDepth->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Modify recursion depth", 0));
-        actionModifyDepth->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+M", 0));
-        actionMovingPoint->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Simulate insertion", 0));
-#ifndef QT_NO_TOOLTIP
-        actionMovingPoint->setToolTip(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Simulate Insertion", "The comment"));
-#endif // QT_NO_TOOLTIP
-#ifndef QT_NO_STATUSTIP
-        actionMovingPoint->setStatusTip(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Move mouse with left button pressed to see where point would be inserted", "and its comment"));
-#endif // QT_NO_STATUSTIP
-#ifndef QT_NO_WHATSTHIS
-        actionMovingPoint->setWhatsThis(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "whats this", "what"));
-#endif // QT_NO_WHATSTHIS
-        actionInsertPoint->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Insert Point", 0));
-#ifndef QT_NO_TOOLTIP
-        actionInsertPoint->setToolTip(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Insert Point", 0));
-#endif // QT_NO_TOOLTIP
-#ifndef QT_NO_STATUSTIP
-        actionInsertPoint->setStatusTip(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Left: Insert vtx", 0));
-#endif // QT_NO_STATUSTIP
-        actionClear->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Clear", 0));
-        actionClear->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+C", 0));
-        actionShowVoronoi->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Show &Voronoi Diagram", 0));
-        actionShowVoronoi->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+V", 0));
-        actionShowDelaunay->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Show &Delaunay Triangulation", 0));
-        actionShowDelaunay->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+D", 0));
-        actionLoadPoints->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Load Points...", 0));
-        actionLoadPoints->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+L", 0));
-        actionSavePoints->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Save Points...", 0));
-        actionSavePoints->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+S", 0));
-        actionCircumcenter->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Circumcenter", 0));
-#ifndef QT_NO_TOOLTIP
-        actionCircumcenter->setToolTip(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Draw circumcenter", 0));
-#endif // QT_NO_TOOLTIP
-        actionRecenter->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Re&center the viewport", 0));
-        actionRecenter->setShortcut(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Ctrl+R", 0));
-        actionShowConflictZone->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Show Conflict Zone", 0));
-        actionDo_translation_a->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Do translation \"a\"", 0));
-        actionDo_translation_b->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Do translation \"b\"", 0));
-        actionDo_translation_c->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Do translation \"c\"", 0));
-        actionDo_translation_d->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Do translation \"d\"", 0));
-        actionG->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "G", 0));
-        actionG2->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "G2", 0));
-        actionG4->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "G4", 0));
-        actionG8->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "G8", 0));
-        actionG16->setText(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "G16", 0));
-        fileToolBar->setWindowTitle(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "File Tools", 0));
-        toolBar->setWindowTitle(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "Visualization Tools", 0));
-        menuFile->setTitle(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&File", 0));
-        menuEdit->setTitle(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Edit", 0));
-        menuTools->setTitle(QApplication::translate("Periodic_4_hyperbolic_Delaunay_triangulation_2", "&Tools", 0));
-    } // retranslateUi
-
-};
-
-namespace Ui {
-    class Periodic_4_hyperbolic_Delaunay_triangulation_2: public Ui_Periodic_4_hyperbolic_Delaunay_triangulation_2 {};
-} // namespace Ui
-
-QT_END_NAMESPACE
-
-#endif // UI_PERIODIC_4_HYPERBOLIC_DELAUNAY_TRIANGULATION_H

Periodic_4_hyperbolic_triangulation_2/demo/Periodic_4_hyperbolic_triangulation_2/playground.cpp

@@ -0,0 +1,650 @@
+
+
+#include <map>
+#include <iostream>
+#include <cmath>
+
+#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
+#include <CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_2.h> 
+#include <CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_traits_2.h>
+#include <CGAL/Square_root_2_field.h>
+#include <CGAL/Hyperbolic_octagon_translation_matrix.h>
+//#include <CGAL/Periodic_4_hyperbolic_offset.h>
+//#include <CGAL/Periodic_4_hyperbolic_offset_holder.h>
+#include <CGAL/Aff_transformation_2.h>
+
+#include <CGAL/Hyperbolic_word_4.h>
+
+
+typedef CGAL::Exact_predicates_exact_constructions_kernel                       R;
+typedef CGAL::Periodic_4_hyperbolic_Delaunay_triangulation_traits_2<R>          K;
+typedef K::FT                                                                   FT;
+typedef K::Point_2                                                              Point;
+typedef K::Segment_2                                                            Segment_2;
+typedef K::Arc_2                                                                Arc_2;
+typedef K::Line_segment_2                                                       Line_segment_2;
+typedef K::Circle_2                                                             Circle;
+//typedef std::vector<int>                                                        Index_sequence;
+//typedef std::pair<Hyperbolic_octagon_translation_matrix, Index_sequence>        Word; 
+
+typedef K::Construct_hyperbolic_bisector_2                                      Construct_hyperbolic_bisector_2;
+
+using namespace std;
+
+const string names[] = { "a", 
+                         "\\bar{b}", 
+                         "c", 
+                         "\\bar{d}", 
+                         "\\bar{a}", 
+                         "b", 
+                         "\\bar{c}", 
+                         "d" };
+
+void recurr(vector<Hyperbolic_octagon_translation_matrix>& v, vector<string>& w, vector<Hyperbolic_octagon_translation_matrix> g, int depth = 1) {
+    if (depth > 1) {
+        
+        recurr(v, w, g, depth-1);
+
+        vector<Hyperbolic_octagon_translation_matrix> tmp;
+        vector<string> tmpw;
+        for (int i = 0; i < v.size(); i++) {
+            tmp.push_back(v[i]);
+            tmpw.push_back(w[i]);
+        }
+
+        for (int i = 0; i < tmp.size(); i++) {
+            for (int j = 0; j < g.size(); j++) {
+                v.push_back(tmp[i]*g[j]);
+                w.push_back(tmpw[i]+names[j]);
+            }
+        }
+    } else {
+        for (int i = 0; i < g.size(); i++) {
+            v.push_back(g[i]);
+            w.push_back(names[i]);
+        }
+    }
+}
+
+
+/*
+
+void recurr(vector<Index_sequence>& idx, int depth = 1) {
+    if (depth > 1) {
+        recurr(idx, depth - 1);
+
+        vector<Index_sequence> tmp;
+        for (int i = 0; i < idx.size(); i++) {
+            tmp.push_back(idx[i]);
+        }
+        for (int i = 0; i < tmp.size(); i++) {
+            for (int j = 0; j < 8; j++) {
+                Index_sequence tt = tmp[i];
+                tt.push_back(j);
+                idx.push_back(tt);
+            }
+        }
+    } else {
+        for (int i = 0; i < 8; i++) {
+            Index_sequence tmp;
+            tmp.push_back(i);
+            idx.push_back(tmp);
+        }
+    }
+}
+
+*/
+
+void export_words_tex(vector<string> w, vector<Hyperbolic_octagon_translation_matrix> v, string filename) {
+
+    ofstream fcout;
+    fcout.open(filename);
+    
+    fcout << "\\documentclass{report}"  << endl;
+    fcout << endl;
+    fcout << "\\usepackage{fullpage}"   << endl;
+    fcout << "\\usepackage{a4wide}"     << endl;
+    fcout << "\\usepackage{longtable}"  << endl;
+    fcout << endl;
+    fcout << "\\setlength{\\parindent}{0cm}" << endl;
+    fcout << endl;
+    fcout << "\\begin{document}" << endl;
+    fcout << endl;
+    fcout << "\\begin{center}"          << endl;
+    fcout << "  \\begin{longtable}{l|l|l|l}"    << endl;
+    for (int i = 0; i < w.size()-1; i++) {
+        fcout << "      " << i << " & $" << w[i] << "$ & " << v[i].length() << " & " << v[i] << " \\\\" << endl;
+    }
+    int i = w.size()-1;
+    fcout << "      " << i << " & " << w[i] << " & " << v[i].length() << " & " << v[i] << endl;
+    fcout << "  \\end{longtable}"       << endl;
+    fcout << "\\end{center}"            << endl;
+    fcout << endl;
+    fcout << "\\end{document}" << endl;
+
+    fcout.close();
+}
+
+
+void export_words_tex(map<Hyperbolic_octagon_translation_matrix,string> m, string filename) {
+
+    ofstream fcout;
+    fcout.open(filename);
+    
+    fcout << "\\documentclass{report}"  << endl;
+    fcout << endl;
+    fcout << "\\usepackage{fullpage}"   << endl;
+    fcout << "\\usepackage{a4wide}"     << endl;
+    fcout << "\\usepackage{longtable}"  << endl;
+    fcout << endl;
+    fcout << "\\setlength{\\parindent}{0cm}" << endl;
+    fcout << endl;
+    fcout << "\\begin{document}" << endl;
+    fcout << endl;
+    fcout << "\\begin{center}"          << endl;
+    fcout << "  \\begin{longtable}{l|l|l|l}"    << endl;
+
+    int i = 0;
+    for (std::map<Hyperbolic_octagon_translation_matrix, string>::iterator it = m.begin(); it != m.end(); it++) {
+        fcout << "      " << i++ << " & $" << it->second << "$ & " << it->first.length() << " & " << it->first << " \\\\" << endl;
+    }
+
+    fcout << "  \\end{longtable}"       << endl;
+    fcout << "\\end{center}"            << endl;
+    fcout << endl;
+    fcout << "\\end{document}" << endl;
+
+    fcout.close();
+}
+
+void export_words_tex(map<string,Hyperbolic_octagon_translation_matrix> m, string filename) {
+
+    ofstream fcout;
+    fcout.open(filename);
+    
+    fcout << "\\documentclass{report}"  << endl;
+    fcout << endl;
+    fcout << "\\usepackage{fullpage}"   << endl;
+    fcout << "\\usepackage{a4wide}"     << endl;
+    fcout << "\\usepackage{longtable}"  << endl;
+    fcout << endl;
+    fcout << "\\setlength{\\parindent}{0cm}" << endl;
+    fcout << endl;
+    fcout << "\\begin{document}" << endl;
+    fcout << endl;
+    fcout << "\\begin{center}"          << endl;
+    fcout << "  \\begin{longtable}{l|l|l|l}"    << endl;
+
+    int i = 0;
+    for (std::map<string, Hyperbolic_octagon_translation_matrix>::iterator it = m.begin(); it != m.end(); it++) {
+        fcout << "      " << i++ << " & $" << it->first << "$ & " << it->second.length() << " & " << it->second << " \\\\" << endl;
+    }
+
+    fcout << "  \\end{longtable}"       << endl;
+    fcout << "\\end{center}"            << endl;
+    fcout << endl;
+    fcout << "\\end{document}" << endl;
+
+    fcout.close();
+}
+
+
+
+double edist2(double x, double y) {
+    return (x*x + y*y);
+}
+
+double norm2(pair<double, double> p) {
+    return sqrt(edist2(p.first, p.second));
+}
+
+double dot(pair<double, double> p1, pair<double, double> p2) {
+    return (p1.first*p2.first + p1.second*p2.second);
+}
+
+double angle(pair<double, double> p1, pair<double, double> p2) {
+    return acos( dot(p1, p2) / norm2(p1) / norm2(p2) );
+}
+
+
+double hdistorigin(pair<double, double> p) {
+    double r = norm2(p);
+    return 2*atanh(r);
+}
+
+double hdisthcos(pair<double, double> p1, pair<double, double> p2) {
+    double hd1 = hdistorigin(p1);
+    double hd2 = hdistorigin(p2);
+    double theta = angle(p1, p2);
+
+    return acosh( cosh(hd1)*cosh(hd2) - sinh(hd1)*sinh(hd2)*cos(theta) );
+}
+
+
+Hyperbolic_octagon_translation_matrix offset_word_4(int index, vector<Hyperbolic_octagon_translation_matrix> gens) {
+    Hyperbolic_octagon_translation_matrix r;
+    for (int i = 0; i < 4; i++) {
+        r = r * gens[index];
+        index = (index + 5) % 8;
+    }
+    return r;
+}
+
+
+int main(int argc, char** argv) {
+
+
+    vector<Hyperbolic_octagon_translation_matrix> g;
+    get_generators(g);
+
+    Point v0 (sqrt(sqrt(2.) + 1.) / 2. , -sqrt(sqrt(2.) - 1.) / 2.);       //  v_0
+    Point s1 (sqrt(sqrt(2.) - 1.) / 2. ,  sqrt(sqrt(2.) - 1.) / 2.);       //  μ(s_1)
+
+    Point av0 = g[DIRECTION_A_BAR].apply(v0);
+    Point as1 = g[DIRECTION_A_BAR].apply(s1);
+    Point mp (0.5*av0.x() + 0.5*as1.x(), 0.5*av0.y() + 0.5*as1.y());
+
+    cout << mp << endl;
+
+
+/*
+    for (int i = 0; i < 8; i++) {
+        Hyperbolic_octagon_translation_matrix m = offset_word_4(i, g);
+        Point p = m.apply(Point(0,0));
+        //cout << "With offset " << i << ": " << p << endl;
+        cout << p.x() << ", " << p.y() << ";" << endl;
+    }
+
+*/
+
+    /*
+    std::vector<Point> pts;
+
+    pts.push_back(Point(FT(  0.776887), FT( -0.321797))); // 23
+    pts.push_back(Point(FT(  0.643594), FT(  0.000000))); // 22
+    pts.push_back(Point(FT(  0.455090), FT(  0.455090))); // 21
+    pts.push_back(Point(FT(  0.000000), FT(  0.643594))); // 13
+    pts.push_back(Point(FT( -0.455090), FT(  0.455090))); //  4
+    pts.push_back(Point(FT( -0.374741), FT(  0.155223))); //  6
+    pts.push_back(Point(FT( -0.374741), FT( -0.155223))); //  5
+    pts.push_back(Point(FT( -0.155223), FT( -0.374741))); //  9
+    pts.push_back(Point(FT(  0.155223), FT( -0.374741))); // 14
+    pts.push_back(Point(FT(  0.374741), FT( -0.155223))); // 18
+    pts.push_back(Point(FT(  0.374741), FT(  0.155223))); // 19
+    pts.push_back(Point(FT(  0.155223), FT(  0.374741))); // 15
+    pts.push_back(Point(FT( -0.155223), FT(  0.374741))); // 10
+    pts.push_back(Point(FT(  0.000000), FT(  0.000000))); // 12
+
+    for (int i = 0; i < pts.size(); i++) {
+        cout << pts[i] << endl;
+    }
+*/
+/*
+    pts.push_back(Point(FT( -0.776887), FT( -0.321797))); //  0
+    pts.push_back(Point(FT( -0.776887), FT(  0.321797))); //  1
+    pts.push_back(Point(FT( -0.643594), FT(  0.000000))); //  2
+    pts.push_back(Point(FT( -0.455090), FT( -0.455090))); //  3
+    pts.push_back(Point(FT( -0.321797), FT( -0.776887))); //  7
+    pts.push_back(Point(FT( -0.321797), FT(  0.776887))); //  8
+    pts.push_back(Point(FT(  0.000000), FT( -0.643594))); // 11
+    pts.push_back(Point(FT(  0.321797), FT( -0.776887))); // 16
+    pts.push_back(Point(FT(  0.321797), FT(  0.776887))); // 17
+    pts.push_back(Point(FT(  0.455090), FT( -0.455090))); // 20
+    pts.push_back(Point(FT(  0.776887), FT(  0.321797))); // 24
+*/
+    
+    /*
+    cout << "Point[" << 23 << "] = " << pts[23] << ", image = " << (g[DIRECTION_A_BAR]).apply(pts[23]) << endl;
+    cout << "Point[" << 23 << "] = " << pts[23] << ", image = " << (g[DIRECTION_B_BAR]*g[DIRECTION_A_BAR]).apply(pts[23]) << endl;
+    cout << "Point[" << 23 << "] = " << pts[23] << ", image = " << (g[DIRECTION_C_BAR]*g[DIRECTION_B_BAR]*g[DIRECTION_A_BAR]).apply(pts[23]) << endl;
+    cout << "Point[" << 23 << "] = " << pts[23] << ", image = " << (g[DIRECTION_D_BAR]*g[DIRECTION_C_BAR]*g[DIRECTION_B_BAR]*g[DIRECTION_A_BAR]).apply(pts[23]) << endl;
+    cout << "Point[" << 23 << "] = " << pts[23] << ", image = " << (g[DIRECTION_B_BAR]*g[DIRECTION_C_BAR]*g[DIRECTION_D_BAR]).apply(pts[23]) << endl;
+    cout << "Point[" << 23 << "] = " << pts[23] << ", image = " << (g[DIRECTION_C_BAR]*g[DIRECTION_D_BAR]).apply(pts[23]) << endl;
+    cout << "Point[" << 23 << "] = " << pts[23] << ", image = " << (g[DIRECTION_D_BAR]).apply(pts[23]) << endl;
+    */
+
+    //pair<double, double> O(0,0);
+
+    /*
+    pair<double, double> O(-0.3218, 0.7769);
+
+    Hyperbolic_octagon_translation_matrix t = g[DIRECTION_A];
+    
+    pair<double, double> image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    t = t*g[DIRECTION_B];
+    image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    t = t*g[DIRECTION_C];
+    image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    t = t*g[DIRECTION_D];
+    image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    t = t*g[DIRECTION_A_BAR];
+    image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    t = t*g[DIRECTION_B_BAR];
+    image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    t = t*g[DIRECTION_C_BAR];
+    image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    t = t*g[DIRECTION_D_BAR];
+    image = t.apply(O.first, O.second);
+    cout << "$" << t.label << "$ & " << t.length() << " & " << hdistorigin(image) << " & " << hdisthcos(O, image) << "\\\\" << endl;
+    */
+
+    /*
+    typedef unsigned short int Int;
+    std::vector<Int> v;
+    v.push_back(3);
+    v.push_back(6);
+    v.push_back(1);
+
+    Word seq(v);
+
+    seq.append(4);
+
+    cout << seq << endl;
+
+    std::string str = seq.get_string();
+    cout << str << endl;
+
+    cout << "size() = " << seq.size() << endl;
+    cout << "is_identity() = " << (seq.is_identity() ? "true" : "false") << endl;
+
+    Word w;
+    Dehn_reduce_word(w, seq);
+    cout << "Reduced word: " << w << endl;*/
+
+    /*
+    vector<Hyperbolic_octagon_translation_matrix> gens;
+    get_generators(gens);
+
+    Point O(0,0);
+    Point aO = gens[0].apply(O);
+    Point ovbO = gens[1].apply(O);
+
+    cout << "Origin:           " << O << endl;
+    cout << "Image by a:       " << aO << endl;
+    cout << "Image by \\bar{b}: " << ovbO << endl;
+
+    Circle Poincare( Point(0, 0), 1*1 );
+
+
+    Point  CenterA ( FT( sqrt((sqrt(2.) + 1.) / 2.) ), FT(0.) );
+    FT     Radius2 ( (sqrt(2.) - 1.) / 2. );
+
+    CGAL::Aff_transformation_2<K> rotate(CGAL::ROTATION, std::sqrt(0.5), std::sqrt(0.5));
+
+    Circle DomainA ( CenterA,           Radius2 );
+    Circle DomainBb( rotate(CenterA),   Radius2 );
+
+
+    Point p(FT(atof(argv[1])), FT(atof(argv[2])));
+    FT x(abs(p.x()));
+    FT y(abs(p.y()));
+
+    if (y > x) {
+        FT tmp = x;
+        x = y;
+        y = tmp;
+    }
+
+    Point t(x, y);
+
+    CGAL::Bounded_side bs1 = Poincare.bounded_side(t);
+    CGAL::Bounded_side bs2 = DomainA.bounded_side(t);
+    CGAL::Bounded_side bs3 = DomainBb.bounded_side(t);
+
+    bool inside = true;
+    inside = inside && (bs1 == CGAL::ON_BOUNDED_SIDE);
+    inside = inside && (bs2 == CGAL::ON_UNBOUNDED_SIDE);
+    inside = inside && (bs3 == CGAL::ON_UNBOUNDED_SIDE);
+
+    cout << "Point " << p << " is " << (inside ? "" : "NOT ") << "inside the fundamental domain!" << endl;
+
+    */
+    //cout << "Segment is here! Getting Arc..." << endl;
+
+    //if (Arc_2* arc = boost::get<Arc_2>(&seg)) {
+    //    cout << "Yey!" << endl;
+    //}
+
+    //Arc_2 arc = boost::get<Arc_2>(seg);
+
+    //cout << "We got the Arc!" << endl;
+
+  
+    //K::Side_of_oriented_circle_2 soc = K::Side_of_oriented_circle_2();
+    //soc(seg, O);
+
+/*
+    vector<Hyperbolic_octagon_translation_matrix> g;
+    get_generators(g);
+
+    pair<double, double> p(0.23, -0.31);
+    vector< pair<double, double> > img;
+    vector<double>  dist;
+    for (int i = 0; i < 8; i++) {
+        img.push_back( g[i].apply(p.first, p.second) );
+        dist.push_back( hdist(p, img[i]) );
+    
+        cout << "dist[" << i << "] = " << dist[i] << endl;
+
+    }
+
+    cout << endl;
+
+    vector< pair<double, double> > img2;
+    vector<double> dist2;
+    for (int i = 0; i < 8; i++) {
+        img2.push_back( g[0].apply(img[i].first, img[i].second) );
+        dist2.push_back( hdist(img[i], img2[i]) );
+
+        cout << "dist2[" << i << "] = " << dist2[i] << endl;
+    }
+*/
+
+/*  
+    vector<Index_sequence> cmb;
+    recurr(cmb, atoi(argv[1]));
+
+    vector<Hyperbolic_octagon_translation_matrix> trans;
+
+    CGAL::Periodic_4_hyperbolic_offset_holder oh;
+
+    cout << "Translating..." << endl;
+    oh.Translate(trans, cmb);
+    cout << "Done!" << endl;
+
+    cout << "Working with Offset holder..." << endl;
+    oh.Insert(cmb);
+    cout << "Done!" << endl;
+
+    vector<Hyperbolic_octagon_translation_matrix> tw;
+    vector<Index_sequence> tiw;
+    oh.Get_unique_words(tiw, tw);
+
+    set<Hyperbolic_octagon_translation_matrix> sidx;
+    for (int i = 0; i < trans.size(); i++) {
+        sidx.insert(trans[i]);
+    }
+
+    cout << endl;
+    cout << "Count of all words:        " << cmb.size() << endl;
+    cout << "Count of Dehn subs:        " << oh.size() << endl;
+    cout << "Size reduction:            " << (1.0 - (double)oh.size()/(double)cmb.size())*100.0 << "%" << endl;
+    cout << endl;
+    cout << "Count of all translations: " << trans.size() << endl;
+    cout << "Count of set translations: " << sidx.size() << endl;
+    cout << "Size reduction:            " << (1.0 - (double)sidx.size()/(double)trans.size())*100.0 << "%" << endl;
+
+
+    cout << endl << "Duplicates" << endl << "-------------------------" << endl;
+    for (int i = 0; i < tw.size() - 1; i++) {
+        for (int j = i+1; j < tw.size(); j++) {
+            if (tw[i] == tw[j]) {
+                cout << "word[" << i << "] = " << tiw[i] << " and word[" << j << "] " << tiw[j] << ", matrix is " << tw[i] << endl;
+            }
+        }
+    }
+        
+
+    */
+
+    
+    //vector<Hyperbolic_octagon_translation_matrix> g;
+    //get_generators(g);
+    
+    /*
+    
+    Hyperbolic_octagon_translation_matrix id = (g[DIRECTION_A]*g[DIRECTION_B]*g[DIRECTION_C]*g[DIRECTION_D])*(g[DIRECTION_A_BAR]*g[DIRECTION_B_BAR]*g[DIRECTION_C_BAR]*g[DIRECTION_D_BAR]);
+    cout << "Identity: " << id << endl;
+    cout << "Label: " << id.label << endl;
+    
+
+    vector< pair<double, double> > img;
+    for (int i = 0; i < 8; i++) {
+        img.push_back( g[i].apply(0,0) );
+        cout << "img[" << i << "] = " << img[i].first << ", " << img[i].second << endl;
+    }
+
+    */
+
+    /*
+    Hyperbolic_octagon_translation_matrix t = ( g[6]*g[1]*g[4] );
+    cout << t << endl;
+    Hyperbolic_octagon_translation_matrix s = ( g[7]*g[4]*g[1]*g[6]*g[3] );
+    cout << s << endl;
+    */
+
+    /*
+    Hyperbolic_octagon_translation_matrix t = (g[6]*g[1]*g[4]*g[7]*g[0]*g[3]);
+    cout << t << endl;
+    Hyperbolic_octagon_translation_matrix s = (g[0]*g[5]*g[2]*g[7]*g[4]*g[1]*g[6]*g[3]*g[6]*g[1]*g[4]*g[7]*g[1]*g[5]*g[0]*g[3]);
+    cout << s << endl; 
+    */
+
+    /*
+    idx.push_back(DIRECTION_B);
+    idx.push_back(DIRECTION_C);
+    idx.push_back(DIRECTION_D);
+    idx.push_back(DIRECTION_A_BAR); 
+    idx.push_back(DIRECTION_B_BAR); 
+    idx.push_back(DIRECTION_C_BAR);
+    idx.push_back(DIRECTION_D_BAR);
+    idx.push_back(DIRECTION_A);
+    idx.push_back(DIRECTION_C_BAR);
+    idx.push_back(DIRECTION_A_BAR);
+    idx.push_back(DIRECTION_D);
+    idx.push_back(DIRECTION_C);
+    idx.push_back(DIRECTION_B);
+    idx.push_back(DIRECTION_A);
+    idx.push_back(DIRECTION_D_BAR);
+    idx.push_back(DIRECTION_B_BAR);
+    */
+
+    /* vector<Hyperbolic_octagon_translation_matrix> vi; */
+
+    /*
+    std::vector<int> idx;
+    
+    
+    idx.push_back(DIRECTION_A);
+    idx.push_back(DIRECTION_B);
+    idx.push_back(DIRECTION_C);
+    idx.push_back(DIRECTION_D);
+    idx.push_back(DIRECTION_A_BAR);
+    idx.push_back(DIRECTION_B_BAR);
+    idx.push_back(DIRECTION_C_BAR);
+    idx.push_back(DIRECTION_D_BAR);
+    idx.push_back(DIRECTION_C_BAR);
+    idx.push_back(DIRECTION_B_BAR);
+    idx.push_back(DIRECTION_A_BAR);
+    idx.push_back(DIRECTION_D);
+    idx.push_back(DIRECTION_B_BAR);
+    idx.push_back(DIRECTION_B);
+    idx.push_back(DIRECTION_A);
+    idx.push_back(DIRECTION_D_BAR);
+    
+    
+
+    
+    idx.push_back(DIRECTION_B);
+    idx.push_back(DIRECTION_C);
+    idx.push_back(DIRECTION_D);
+    idx.push_back(DIRECTION_A_BAR); 
+    idx.push_back(DIRECTION_B_BAR); 
+    idx.push_back(DIRECTION_C_BAR);
+    idx.push_back(DIRECTION_D_BAR);
+    idx.push_back(DIRECTION_A);
+    idx.push_back(DIRECTION_C_BAR);
+    idx.push_back(DIRECTION_A_BAR);
+    idx.push_back(DIRECTION_D);
+    idx.push_back(DIRECTION_C);
+    idx.push_back(DIRECTION_B);
+    idx.push_back(DIRECTION_A);
+    idx.push_back(DIRECTION_D_BAR);
+    idx.push_back(DIRECTION_B_BAR); 
+    
+
+    
+
+    std::vector<int> dw;
+    Dehn_reduce_word(dw, idx);
+
+    CGAL::Periodic_4_hyperbolic_offset io(idx);
+    CGAL::Periodic_4_hyperbolic_offset fo(dw);
+
+    Word iw, fw;
+
+    io.Get_word(iw);
+    fo.Get_word(fw);
+
+    cout << "Initial sequence: ";
+    for (int i = 0; i < idx.size(); i++) {
+        cout << idx[i] << " ";
+    }
+    cout << endl;
+
+    cout << "Final sequence:   ";
+    for (int i = 0; i < dw.size(); i++) {
+        cout << dw[i] << " ";
+    }
+    cout << endl;
+
+    cout << "Initial word: " << iw << endl;
+    cout << "Final word:   " << fw << endl;
+
+    */  
+
+    /*
+    cout << endl << "Initial word: ";
+    Hyperbolic_octagon_translation_matrix t = vi[0].first;
+    cout << vi[0].second << ", ";   
+    for (int i = 1; i < vi.size(); i++) {
+        cout << vi[i].second << ", ";
+        t = t * vi[i].first;    
+    }
+    cout << endl << "Equivalent matrix: " << t << endl << endl;
+
+    vector<Hyperbolic_octagon_translation_matrix> di;
+    Apply_Dehn(di, vi);
+    cout << "Dehn's word:  ";
+    Hyperbolic_octagon_translation_matrix s = di[0].first;
+    cout << di[0].second << ", ";   
+    for (int i = 1; i < di.size(); i++) {
+        cout << di[i].second << ", ";
+        s = s * di[i].first;    
+    }
+    cout << endl << "Equivalent matrix: " << s << endl << endl;
+
+    cout << "Equivalence achieved: " << (t == s ? "YES" : "NO") << endl;
+    */
+
+    return 0;
+}
+
+

Periodic_4_hyperbolic_triangulation_2/demo/Periodic_4_hyperbolic_triangulation_2/readme.txt

@@ -0,0 +1,4 @@
+This directory currently contains test programs and _not_ a real demo.
+The file playground.cpp is used to execute various tests and verifications and changes constantly.
+The file triangulation.cpp is a small driver to verify modifications on the hyperbolic (Delaunay) triangulation.
+Over time the layout of the directory will change and a real demo will be build. For archiving purposes, the demo that previously existed here has been moved to the subfolder 'backup'.

Periodic_4_hyperbolic_triangulation_2/demo/Periodic_4_hyperbolic_triangulation_2/triangulation.cpp

@@ -0,0 +1,99 @@
+
+
+#include <boost/tuple/tuple.hpp>
+#include <boost/random/linear_congruential.hpp>
+#include <boost/random/uniform_smallint.hpp>
+#include <boost/random/variate_generator.hpp>
+
+#include <CGAL/Periodic_4_hyperbolic_triangulation_2.h>
+#include <CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_2.h>
+#include <CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_traits_2.h>
+#include <CGAL/Periodic_4_hyperbolic_triangulation_dummy_14.h>
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/CORE_Expr.h>
+#include <CGAL/Cartesian.h>
+#include <CGAL/determinant.h>
+
+
+typedef CORE::Expr                                              					NT;					
+typedef CGAL::Cartesian<NT>                                     					Kernel;
+typedef CGAL::Periodic_4_hyperbolic_Delaunay_triangulation_traits_2<Kernel> 		Traits;
+typedef CGAL::Periodic_4_hyperbolic_Delaunay_triangulation_2<Traits>				Triangulation;
+
+typedef Triangulation::Point_2	                                   					Point_2;
+typedef Triangulation::Face_handle													Face_handle;
+typedef Triangulation::Vertex_handle												Vertex_handle;
+typedef Triangulation::Locate_type 													Locate_type;
+typedef Traits::FT                                                                  FT;
+typedef std::set<Face_handle>::iterator                                    face_iterator;
+
+
+int main(void) {
+
+    Triangulation tr;    
+    tr.insert_dummy_points();
+    std::cout << "Dummy points are locked and loaded!" << std::endl;
+    Locate_type lt;
+    int li;
+
+    // This is the barycenter of face 10
+    Point_2 query = Point_2(FT(-0.59841), FT(-0.15901));
+    Face_handle fh = tr.locate( query, lt, li );
+    cout << "Point " << query << " is located in face " << fh->get_number();
+    cout << (lt == Locate_type::EDGE ? " [EDGE]" : (lt == Locate_type::VERTEX ? " [VERTEX]" : " [FACE]")) << endl;
+
+    std::set<Face_handle> faces_in_conflict;
+    tr.find_in_conflict(query, fh, faces_in_conflict);
+    for (face_iterator it = faces_in_conflict.begin(); it != faces_in_conflict.end(); it++) {
+        cout << "Face in conflict: " << (*it)->get_number() << endl;
+    }
+
+    cout << endl;
+    faces_in_conflict.clear();
+
+    // This is the midpoint of edge (0, 1) in face 11
+    Point_2 query2(FT(-0.61599), FT(-0.38844));
+    fh = tr.locate( query2, lt, li );
+    cout << "Point " << query2 << " is located in face " << fh->get_number();
+    cout << (lt == Locate_type::EDGE ? " [EDGE]" : (lt == Locate_type::VERTEX ? " [VERTEX]" : " [FACE]")) << endl;
+    tr.find_in_conflict(query2, fh, faces_in_conflict);
+    cout << "Faces in conflict: ";
+    for (face_iterator it = faces_in_conflict.begin(); it != faces_in_conflict.end(); it++) {
+        cout << (*it)->get_number() << ", ";
+    }
+    cout << endl;
+
+    cout << endl;
+    faces_in_conflict.clear();
+
+    // This is vertex(0) of face 11
+    Point_2 query3(FT(-0.776887), FT(-0.321797));
+    fh = tr.locate( query3, lt, li );
+    cout << "Point " << query3 << " is located in face " << fh->get_number();
+    cout << (lt == Locate_type::EDGE ? " [EDGE]" : (lt == Locate_type::VERTEX ? " [VERTEX]" : " [FACE]")) << endl;
+    tr.find_in_conflict(query3, fh, faces_in_conflict);
+    cout << "Faces in conflict: ";
+    for (face_iterator it = faces_in_conflict.begin(); it != faces_in_conflict.end(); it++) {
+        cout << (*it)->get_number() << ", ";
+    }
+    cout << endl;
+
+    cout << endl;
+    faces_in_conflict.clear();
+
+    // This is the origin (duh)
+    Point_2 query4(FT(0), FT(0));
+    fh = tr.locate( query4, lt, li );
+    cout << "Point " << query4 << " is located in face " << fh->get_number();
+    cout << (lt == Locate_type::EDGE ? " [EDGE]" : (lt == Locate_type::VERTEX ? " [VERTEX]" : " [FACE]")) << endl;
+    tr.find_in_conflict(query4, fh, faces_in_conflict);
+    cout << "Faces in conflict: ";
+    for (face_iterator it = faces_in_conflict.begin(); it != faces_in_conflict.end(); it++) {
+        cout << (*it)->get_number() << ", ";
+    }
+    cout << endl;    
+
+    cout << endl << "Triangulation is valid: " << (tr.is_valid() ? "TRUE" : "FALSE") << endl;
+
+    return 0;
+}

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Hyperbolic_octagon_translation_matrix.h

@@ -17,9 +17,6 @@
 #ifndef CGAL_HYPERBOLIC_OCTAGON_TRANSLATION_MATRIX_H
 #define CGAL_HYPERBOLIC_OCTAGON_TRANSLATION_MATRIX_H
 
-#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
-#include <CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_traits_2.h>
-
 #include <complex>
 #include <iostream>
 #include <vector>
@@ -30,10 +27,20 @@
 #include <string>
 #include <fstream>
 
-typedef CGAL::Exact_predicates_exact_constructions_kernel                   R;
+#include <CGAL/Square_root_2_field.h>
-typedef CGAL::Periodic_4_hyperbolic_Delaunay_triangulation_traits_2<R>      K;
+#include <CGAL/number_utils.h>
-typedef K::FT                                                               FT;
+
-typedef K::Point_2                                                          Point;
+typedef unsigned short int                                                  Word_idx_type;
+
+
+template <class Word_idx_type>
+std::ostream& operator<<(std::ostream& s, const std::vector<Word_idx_type>& o) {
+  for (int i = 0; i < o.size(); i++) {
+    s << o[i];
+  }
+  return s;
+} 
+
 
 template<class Square_root_2_field>
 class Hyperbolic_octagon_translation_matrix_base
@@ -43,20 +50,20 @@ public:
   static Square_root_2_field factor;    // The multiplicative factor present in the general formula: sqrt(2) - 1
 
   typedef Hyperbolic_octagon_translation_matrix_base<Square_root_2_field>   Self;  
-  typedef complex<Square_root_2_field>                                      Matrix_element;
+  typedef std::complex<Square_root_2_field>                                      Matrix_element;
 
   Matrix_element  A;
   Matrix_element  B;
-  string          label;  
+  std::string     label;  
 
   Hyperbolic_octagon_translation_matrix_base(const Matrix_element& A_, const Matrix_element& B_, 
-    const string& label_ = string("") ) :
+    const std::string& label_ = std::string("") ) :
   A( A_ ), B( B_ ), label( label_ ) {}
 
   Hyperbolic_octagon_translation_matrix_base() :
-  A( Matrix_element(1,0) ), B( Matrix_element(0,0) ), label( string("") ) {}
+  A( Matrix_element(1,0) ), B( Matrix_element(0,0) ), label( std::string("") ) {}
 
-  string merge_labels(const Self& rh) const
+  std::string merge_labels(const Self& rh) const
   {
     return label + "*" + rh.label;
   }
@@ -70,7 +77,7 @@ public:
   Self inverse() const
   {
     Self inv = Self(conj(A), -B);
-    string inv_label;
+    std::string inv_label;
     for(long i = label.size() - 1; i >= 0; i--) {
       if(label[i] >= 'a' && label[i] <= 'd') {
         inv_label.push_back('\\');
@@ -142,17 +149,17 @@ public:
     return norm(A) - factor * norm(B);
   }
   
-  static complex<double> toComplexDouble(Matrix_element M) //const
+  static std::complex<double> toComplexDouble(Matrix_element M) //const
   {
     Square_root_2_field rl  = real(M);
     Square_root_2_field img = imag(M);
     
-    return complex<double>(rl.l + sqrt(2.)*rl.r, img.l + sqrt(2.)*img.r);
+    return std::complex<double>(rl.l + sqrt(2.)*rl.r, img.l + sqrt(2.)*img.r);
   }
 
-  pair<double, double> apply(double x, double y)
+  std::pair<double, double> apply(double x, double y)
   {
-    typedef complex<double> Cmpl;
+    typedef std::complex<double> Cmpl;
     Cmpl Aa = toComplexDouble(A);
     Cmpl Bb = toComplexDouble(B);
 
@@ -160,14 +167,17 @@ public:
     
     Cmpl z(x, y);
     Cmpl res = (Aa*z + ax*Bb)/(ax*(conj(Bb)*z) + conj(Aa));
-    return pair<double, double>(real(res), imag(res)); 
+    return std::pair<double, double>(real(res), imag(res)); 
   }
 
+
+  template<class Point>
   Point apply(Point p) {
-    pair<double, double> arg = apply(to_double(p.x()), to_double(p.y()));
+    pair<double, double> arg = apply(CGAL::to_double(p.x()), CGAL::to_double(p.y()));
-    return Point(FT(arg.first), FT(arg.second));
+    return Point(arg.first, arg.second);
   }
 
+
 };
 
 
@@ -176,9 +186,9 @@ template<class Square_root_2_field>
 Square_root_2_field Hyperbolic_octagon_translation_matrix_base<Square_root_2_field>::factor = Square_root_2_field(-1, 1); 
 
 // just to give an order(ing)
-template<class Int>
+template<typename Int>
-bool operator < (const complex<Square_root_2_field<Int> >& lh,
+bool operator < (const std::complex<Square_root_2_field<Int> >& lh,
-  const complex<Square_root_2_field<Int> >& rh)
+  const std::complex<Square_root_2_field<Int> >& rh)
 {
   if (real(lh) < real(rh)) {
     return true;
@@ -219,7 +229,7 @@ bool operator == (const Hyperbolic_octagon_translation_matrix_base<Square_root_2
 }
 
 template<class Square_root_2_field>
-ostream& operator<<(ostream& os, const Hyperbolic_octagon_translation_matrix_base<Square_root_2_field>& m)
+std::ostream& operator<<(std::ostream& os, const Hyperbolic_octagon_translation_matrix_base<Square_root_2_field>& m)
 {
   os << m.A << " " << m.B;
   return os;
@@ -245,13 +255,13 @@ enum Direction {
 
 
 
-void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
+void get_generators(std::vector<Hyperbolic_octagon_translation_matrix>& gens)
 {
   // This is a in the matrix, equal to sqrt(2) + 1
   Matrix_element A = Matrix_element(Sqrt_field(1, 1), Sqrt_field(0, 0));
 
   // This vector holds all other Matrix_elements, results of the exponentials for various k
-  vector<Matrix_element> B(8, Matrix_element(Sqrt_field(0, 0), Sqrt_field(0, 0)));
+  std::vector<Matrix_element> B(8, Matrix_element(Sqrt_field(0, 0), Sqrt_field(0, 0)));
 
   // Corrected ordering (initial ordering is present in backup file)
   B[DIRECTION_A]     = A * Matrix_element(Sqrt_field( 0,  1), Sqrt_field( 0,  0));
@@ -263,7 +273,7 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
   B[DIRECTION_C_BAR] = A * Matrix_element(Sqrt_field( 0,  0), Sqrt_field( 0, -1));
   B[DIRECTION_D_BAR] = A * Matrix_element(Sqrt_field(-1,  0), Sqrt_field( 1,  0));
   
-  string labels[8] = {string("a"), string("\\bar{b}"), string("c"), string("\\bar{d}"),
+  std::string labels[8] = {string("a"), string("\\bar{b}"), string("c"), string("\\bar{d}"),
   string("\\bar{a}"), string("b"), string("\\bar{c}"), string("d")};
   for(int i = 0; i < 8; i++) {
     gens.push_back(Hyperbolic_octagon_translation_matrix(A, B[i], labels[i]));
@@ -279,9 +289,9 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
 
 
   // Check whether two Matrix_elements of the group are inverse of each other
-  bool Dehn_are_inverse(int x, int y) {
+  bool Dehn_are_inverse(Word_idx_type x, Word_idx_type y) {
-    int idx = x % 4;
+    Word_idx_type idx = x % 4;
-    int idy = y % 4;
+    Word_idx_type idy = y % 4;
     bool r = ((idx == idy) && (x != y));
     return r;
   }
@@ -289,12 +299,12 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
 
 
   // Recursively eliminate neighboring inverse Matrix_elements present in the word
-  void Dehn_simplify_adjacent_inverses(vector<int>& w) {
+  void Dehn_simplify_adjacent_inverses(vector<Word_idx_type>& w) {
-    vector<int> t;
+    vector<Word_idx_type> t;
     bool reduced = false;
-    int N = w.size();
+    Word_idx_type N = w.size();
     if (N > 1) {
-      for (int i = 0; i < N-1; i++) {
+      for (Word_idx_type i = 0; i < N-1; i++) {
         if (!Dehn_are_inverse(w[i], w[i+1])) {
           t.push_back(w[i]);
         } else {
@@ -318,30 +328,30 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
 
 
   // Computes and returns the next index in the identity Matrix_element chain
-  int Dehn_next_identity_index(int idx) {
+  Word_idx_type Dehn_next_relation_index(Word_idx_type idx) {
     return ( (idx + 5) % 8 );
   }
 
 
   // Checks whether y is the next Matrix_element from x
-  bool Dehn_is_next_identity_index(int x, int y) {
+  bool Dehn_is_next_relation_index(Word_idx_type x, Word_idx_type y) {
-    return ( Dehn_next_identity_index(y) == x);
+    return ( Dehn_next_relation_index(y) == x);
   }
 
 
   // Given a word, find the largest subsequence of consecutive Matrix_elements it contains.
   // The sequence itself is placed in 'seq', while the index at which it starts is
   // the return argument of the function.
-  int Dehn_longest_identity_subsequence(vector<int>& seq, vector<int> const w) {
+  Word_idx_type Dehn_longest_relation_subsequence(vector<Word_idx_type>& seq, vector<Word_idx_type> const w) {
-    int start = 0; 
+    Word_idx_type start = 0; 
-    int mstart = 0;
+    Word_idx_type mstart = 0;
-    int end = 1;
+    Word_idx_type end = 1;
-    int max = 1;
+    Word_idx_type max = 1;
-    int len = 1;
+    Word_idx_type len = 1;
-    vector<int> tmp, mvec;
+    vector<Word_idx_type> tmp, mvec;
     tmp.push_back(w[0]);
-    for (int i = 1; i < w.size(); i++) {
+    for (Word_idx_type i = 1; i < w.size(); i++) {
-      if ( Dehn_is_next_identity_index( w[i], w[i-1] ) ) {
+      if ( Dehn_is_next_relation_index( w[i], w[i-1] ) ) {
         end++;
         len++;
         tmp.push_back(w[i]);
@@ -363,16 +373,16 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
   }
 
 
-  int Dehn_identity_index_of_inverse(int x) {
+  Word_idx_type Dehn_relation_index_of_inverse(Word_idx_type x) {
     return ((x + 4) % 8);
   }
 
 
   // Given a word, construct its inverse
-  void Dehn_invert_word(vector<int>& w, vector<int> const original) {
+  void Dehn_invert_word(vector<Word_idx_type>& w, vector<Word_idx_type> const original) {
     w.clear();
     for (int i = original.size() - 1; i >= 0; i--) {
-      w.push_back( Dehn_identity_index_of_inverse(original[i]) );
+      w.push_back( Dehn_relation_index_of_inverse(original[i]) );
     }
   }
 
@@ -380,21 +390,21 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
 
   // Given a sequence of consecutive indices, return the complementary set of consecutive indices in mod 8.
   // For instance, if start = 5 and end = 1, the output is the sequence 2, 3, 4
-  void Dehn_complementary_identity_indices(vector<int>& v, int begin, int end) {
+  void Dehn_complementary_relation_indices(vector<Word_idx_type>& v, Word_idx_type begin, Word_idx_type end) {
-    vector<int> tmp;
+    vector<Word_idx_type> tmp;
-    for (int i = Dehn_next_identity_index(end); i != begin; i = Dehn_next_identity_index(i)) {
+    for (Word_idx_type i = Dehn_next_relation_index(end); i != begin; i = Dehn_next_relation_index(i)) {
       tmp.push_back(i);
     }
 
-    for (int i = tmp.size() - 1; i >= 0; i--) {
+    for (Word_idx_type i = tmp.size() - 1; i >= 0; i--) {
       v.push_back(tmp[i]);
     }
   }
 
 
-  void Dehn_complementary_identity_indices(vector<int>& v, vector<int> const original) {
+  void Dehn_complementary_relation_indices(vector<Word_idx_type>& v, vector<Word_idx_type> const original) {
-    std::vector<int> tmp;
+    std::vector<Word_idx_type> tmp;
-    Dehn_complementary_identity_indices(tmp, original[0], original[original.size() - 1]);
+    Dehn_complementary_relation_indices(tmp, original[0], original[original.size() - 1]);
     for (int i = tmp.size() - 1; i >= 0; i--) {
       v.push_back(tmp[i]);
     }
@@ -404,7 +414,7 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
   // Given a word, identifies the longest subword consisting of consecutive Matrix_elements and substitutes 
   // it with its equivalent shorter word. The search is executed in both the original word and its
   // inverse, and the substitution is made considering the longest subword from both cases.
-  bool Dehn_replace_identity_subword(vector<int>& w, const vector<int> original) {
+  bool Dehn_replace_relation_subword(vector<Word_idx_type>& w, const vector<Word_idx_type> original) {
 
     bool replaced = false;
 
@@ -414,23 +424,23 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
     }
 
     // Look for longest subword forward
-    vector<int> lfwd;
+    vector<Word_idx_type> lfwd;
-    int idxf = Dehn_longest_identity_subsequence(lfwd, original);
+    Word_idx_type idxf = Dehn_longest_relation_subsequence(lfwd, original);
-    int Nf = lfwd.size();
+    Word_idx_type Nf = lfwd.size();
 
     // Get inverse of the original word
-    vector<int> inv;
+    vector<Word_idx_type> inv;
     Dehn_invert_word(inv, original);
 
     // Look for longest subword backwards
-    vector<int> lbwd;
+    vector<Word_idx_type> lbwd;
-    int idxb = Dehn_longest_identity_subsequence(lbwd, inv);
+    Word_idx_type idxb = Dehn_longest_relation_subsequence(lbwd, inv);
-    int Nb = lbwd.size();
+    Word_idx_type Nb = lbwd.size();
 
     // Assign parameters based on results to homogenise the logic
-    vector<int> word, sub;
+    vector<Word_idx_type> word, sub;
     bool is_inverse;
-    int N, idx;
+    Word_idx_type N, idx;
     //cout << "Nb = " << Nb << ", Nf = " << Nf << endl;
     if (Nb > Nf) {
       word = inv;
@@ -450,19 +460,19 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
     // is by default equal to the identity Matrix_element and can be directly eliminated.
     while (N >= 8) {
       replaced = true;
-      vector<int> ttt = word;
+      vector<Word_idx_type> ttt = word;
       word.clear();
-      for (int i = 0; i < idx; i++) {
+      for (Word_idx_type i = 0; i < idx; i++) {
         word.push_back(ttt[i]);
       }
-      for (int i = idx + 8; i < ttt.size(); i++) {
+      for (Word_idx_type i = idx + 8; i < ttt.size(); i++) {
         word.push_back(ttt[i]);
       }
       w = word;
 
       ttt = sub;
       sub.clear();
-      for (int i = 8; i < ttt.size(); i++) {
+      for (Word_idx_type i = 8; i < ttt.size(); i++) {
         sub.push_back(ttt[i]);
       }
       N -= 8;
@@ -474,28 +484,28 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
     // substitution becomes cyclic.
     if (N > 4) {
       replaced = true;
-      vector<int> cmpl;
+      vector<Word_idx_type> cmpl;
-      Dehn_complementary_identity_indices(cmpl, sub);
+      Dehn_complementary_relation_indices(cmpl, sub);
 
       if(is_inverse) {
-        vector<int> tmp;
+        vector<Word_idx_type> tmp;
         Dehn_invert_word(tmp, cmpl);
         cmpl = tmp;
       }
 
-      for (int i = 0; i < idx; i++) {
+      for (Word_idx_type i = 0; i < idx; i++) {
         w.push_back(word[i]);
       }
-      for (int i = 0; i < cmpl.size(); i++) {
+      for (Word_idx_type i = 0; i < cmpl.size(); i++) {
         w.push_back(cmpl[i]);
       }
-      for (int i = N + idx; i < word.size(); i++) {
+      for (Word_idx_type i = N + idx; i < word.size(); i++) {
         w.push_back(word[i]);
       }
     } else if (N == 4) {
       if (is_inverse) {
-        vector<int> tmp;
+        vector<Word_idx_type> tmp;
-        Dehn_invert_word(tmp, w);
+        Dehn_invert_word(tmp, word);
         w = tmp;
         replaced = true;
       }
@@ -503,7 +513,7 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
 
     // If we have been working with the inverse of the original, the result has to be inverted.
     if (is_inverse) {
-      vector<int> tmp;
+      vector<Word_idx_type> tmp;
       Dehn_invert_word(tmp, w);
       w = tmp;
     }
@@ -512,19 +522,17 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
   }
 
 
-
   // Applies Dehn's algorithm to a given word. The result is the equivalent ireducible word
   // of the original. The boolean return argument of the function indicates whether the
   // resulting equivalent irreducible word is the identity Matrix_element or not.
-  bool Dehn_reduce_word(vector<int>& w, vector<int> const original) {
+  bool Dehn_reduce_word(vector<Word_idx_type>& w, vector<Word_idx_type> const original) {
     bool is_identity = false;
-    vector<int> tmp;
+    vector<Word_idx_type> tmp;
     tmp = original;
     while (tmp.size() > 0) {
       Dehn_simplify_adjacent_inverses(tmp);
-      vector<int> sub;
+      vector<Word_idx_type> sub;
-      bool replaced = Dehn_replace_identity_subword(sub, tmp);
+      bool replaced = Dehn_replace_relation_subword(sub, tmp);
-
       if (!replaced) {
         w = tmp;
         return false;
@@ -538,6 +546,20 @@ void get_generators(vector<Hyperbolic_octagon_translation_matrix>& gens)
   }
 
 
+  // Applies Dehn's algorithm to a given word. The result is the equivalent ireducible word
+  // of the original. The boolean return argument of the function indicates whether the
+  // resulting equivalent irreducible word is the identity Matrix_element or not.
+  // Overload for generic type.
+  template <class Word>
+  bool Dehn_reduce_word(Word& w, Word const original) {
+
+    std::vector<Word_idx_type> in = original.get_vector();
+    std::vector<Word_idx_type> out;
+    bool result = Dehn_reduce_word(out, in);
+    w = Word(out);
+    return result;
+
+  }
 
 /**************************************************************/
 

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Hyperbolic_translation_info.h

@@ -0,0 +1,55 @@
+#ifndef HYPERBOLIC_TRANSLATION_INFO
+#define HYPERBOLIC_TRANSLATION_INFO
+
+template<typename String>
+class Hyperbolic_translation_info
+{
+public:
+  
+  Hyperbolic_translation_info() : color(0)
+  {
+  }
+  
+  Hyperbolic_translation_info(const String& name, int new_color = 0)
+    : name_of_translation(name), color(new_color)
+  {
+  }
+  
+  void setString(const String& name)
+  {
+    name_of_translation = name;
+  }
+  
+  const String& toString() const
+  {
+    return name_of_translation;
+  }
+  
+  void setColor(int new_color)
+  {
+    color = new_color;
+  }
+  
+  int getColor() const
+  {
+    return color;
+  }
+   
+private:
+  String name_of_translation;
+  
+  int color; 
+};
+
+template<typename String>
+Hyperbolic_translation_info<String> operator + (const Hyperbolic_translation_info<String>& l, const Hyperbolic_translation_info<String>& r)
+{
+  Hyperbolic_translation_info<String> result;
+  result.setString(l.toString() + r.toString());
+  
+  return result;
+}
+
+
+
+#endif // HYPERBOLIC_TRANSLATION_INFO

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Hyperbolic_word_4.h

@@ -0,0 +1,308 @@
+// Copyright (c) 1999-2004,2006-2009,2014-2016   INRIA Nancy - Grand Est (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+// You can redistribute it and/or modify it under the terms of the GNU
+// Interal Public License as published by the Free Software Foundation,
+// either version 3 of the License, or (at your option) any later version.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+//
+//
+// Author(s)     : Iordan Iordanov <iordan.iordanov@loria.fr>
+
+#ifndef CGAL_HYPERBOLIC_WORD_4
+#define CGAL_HYPERBOLIC_WORD_4
+
+#include <iostream>
+#include <cassert>
+#include <CGAL/Hyperbolic_octagon_translation_matrix.h>
+
+namespace CGAL {
+
+template <class Int>
+class Hyperbolic_word_4 {
+private:
+	Int   w0 : 3;
+	bool  b0 : 1; 
+
+	Int   w1 : 3;
+	bool  b1 : 1;
+
+	Int   w2 : 3;
+	bool  b2 : 1;
+
+	Int   w3 : 3;
+	bool  b3 : 1;
+	
+public:
+
+	Hyperbolic_word_4() : 
+	w0(0), w1(0), w2(0), w3(0), b0(false), b1(false), b2(false), b3(false) {}
+
+	Hyperbolic_word_4(Int x) :
+	w0(x), w1(0), w2(0), w3(0), b0(true), b1(false), b2(false), b3(false) {}
+
+	Hyperbolic_word_4(Int x, Int y) :
+	w0(x), w1(y), w2(0), w3(0), b0(true), b1(true), b2(false), b3(false) {}
+
+	Hyperbolic_word_4(Int x, Int y, Int z) :
+	w0(x), w1(y), w2(z), w3(0), b0(true), b1(true), b2(true), b3(false) {}
+
+	Hyperbolic_word_4(Int x, Int y, Int z, Int t) :
+	w0(x), w1(y), w2(z), w3(t), b0(true), b1(true), b2(true), b3(true) {}
+
+	Hyperbolic_word_4(std::vector<Int> v) {
+		switch(v.size()) {
+			case 0:
+				w0 = 0; b0 = false;
+				w1 = 0; b1 = false;
+				w2 = 0; b2 = false;
+				w3 = 0; b3 = false;
+				break;
+
+			case 1:
+				w0 = v[0]; b0 = true;
+				w1 = 0; b1 = false;
+				w2 = 0; b2 = false;
+				w3 = 0; b3 = false;
+				break;
+
+			case 2:
+				w0 = v[0]; b0 = true;
+				w1 = v[1]; b1 = true;
+				w2 = 0; b2 = false;
+				w3 = 0; b3 = false;
+				break;
+
+			case 3:
+				w0 = v[0]; b0 = true;
+				w1 = v[1]; b1 = true;
+				w2 = v[2]; b2 = true;
+				w3 = 0; b3 = false;
+				break;
+
+			default:
+				w0 = v[0]; b0 = true;
+				w1 = v[1]; b1 = true;
+				w2 = v[2]; b2 = true;
+				w3 = v[3]; b3 = true;
+				break;
+		}
+	}
+
+	void operator()(Int idx, Int val) {
+		assert(idx >= 0 && idx <= 3);
+		switch (idx) {
+			case 0:
+				w0 = val;
+				b0 = true;
+				break;
+			case 1:
+				w1 = val;
+				b1 = true;
+				break;
+			case 2:
+				w2 = val;
+				b2 = true;
+				break;
+			default:
+				b3 = true;
+				w3 = val;
+		}
+	}
+
+	Int operator()(Int i) const {
+		assert(i >= 0 && i <= 3);
+		switch (i) {
+			case 0:
+				return w0;
+			case 1:
+				return w1;
+			case 2:
+				return w2;
+			default:
+				return w3;
+		}
+	}
+
+	bool b(Int i) const {
+		assert(i >= 0 && i <= 3);
+		switch (i) {
+			case 0:
+				return b0;
+			case 1:
+				return b1;
+			case 2:
+				return b2;
+			default:
+				return b3;
+		}
+
+	} 
+
+	Int size() const {
+		if (b0 == false) {
+			return 0;
+		} else {
+			if (b1 == false) {
+				return 1;
+			} else {
+				if (b2 == false) {
+					return 2;
+				} else {
+					if (b3 == false) {
+						return 3;
+					} else {
+						return 4;
+					}
+				}
+			}
+		}
+	}
+
+	void append(Int val) {
+		if (b0 == false) {
+			w0 = val;
+			b0 = true;
+		}
+		else if (b1 == false) {
+			w1 = val;
+			b1 = true;
+		}
+		else if (b2 == false) {
+			w2 = val;
+			b2 = true;
+		}
+		else if (b3 == false) {
+			w3 = val;
+			b3 = true;
+		}
+		else {
+			// Cannot append -- everything is full.
+			// TODO: find a better way to handle this.
+			assert(false);
+		}
+	}
+	
+	std::vector<Int> get_vector() const {
+		std::vector<Int> v;
+		if (b0) {
+			v.push_back(w0);
+		}
+		if (b1) {
+			v.push_back(w1);
+		}
+		if (b2) {
+			v.push_back(w2);
+		}
+		if (b3) {
+			v.push_back(w3);
+		}
+
+		return v;
+	}
+
+	bool is_identity() const {
+		return ( b0 == false );
+	}
+
+	std::string get_string() const {
+		std::string s = "";
+
+		if (b0) {
+			s += w0 + '0';
+		}
+
+		if (b1) {
+			s += w1 + '0';
+		}
+
+		if (b2) {
+			s += w2 + '0';
+		}
+
+		if (b3) {
+			s += w3 + '0';
+		}
+
+		return s;
+	}
+
+	Hyperbolic_octagon_translation_matrix get_matrix() const {
+		std::vector<Hyperbolic_octagon_translation_matrix> Ints;
+		get_generators(Ints);
+		Hyperbolic_octagon_translation_matrix m;
+		if (b0) {
+			m = Ints[w0];
+			if (b1) {
+				m = m * Ints[w1];
+				if (b2) {
+					m = m * Ints[w2];
+					if (b3) {
+						m = m * Ints[w3];
+					}
+				}
+			}
+		}
+
+		return m;
+	}
+
+
+	template<class Point>
+	Point apply(Point pt) const {
+		Hyperbolic_octagon_translation_matrix m = get_matrix();
+		Point res = m.apply(pt);
+		return res;
+	}
+
+	Hyperbolic_word_4<Int> operator*(const Hyperbolic_word_4<Int>& rh) const {
+  		assert(this->size() + rh->size() < 5);
+  		Hyperbolic_word_4<Int> w;
+  		for (Int i = 0; i < this->size(); i++) {
+  			w.append(this->operator()(i));
+  		}
+  		for (Int i = 0; i < rh.size(); i++) {
+  			w.append(rh(i));
+  		}
+    	return w;
+  	}
+
+};
+
+
+
+
+template <class Int>
+ostream& operator<<(ostream& s, const Hyperbolic_word_4<Int>& o) {
+	for (Int i = 0; i < 4; i++) {
+		if (o.b(i)) {
+			s << o(i);
+		}
+	}
+	return s;
+} 
+
+
+// just to give an order(ing)
+template<class Int>
+bool operator < (const Hyperbolic_word_4<Int>& lh,
+  				 const Hyperbolic_word_4<Int>& rh)
+{
+  std::string vl = lh.get_string();
+  std::string vr = rh.get_string();
+
+  return vl < vr;	   
+}
+
+} // namespace CGAL
+
+#endif  // CGAL_HYPERBOLIC_WORD_4

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_construct_hyperbolic_point_2.h

@@ -1,62 +0,0 @@
-// Copyright (c) 1999-2004,2006-2009,2014-2015   INRIA Sophia-Antipolis (France).
-// All rights reserved.
-//
-// This file is part of CGAL (www.cgal.org).
-// You can redistribute it and/or modify it under the terms of the GNU
-// General Public License as published by the Free Software Foundation,
-// either version 3 of the License, or (at your option) any later version.
-//
-// Licensees holding a valid commercial license may use this file in
-// accordance with the commercial license agreement provided with the software.
-//
-// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
-// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
-//
-// $URL$
-// $Id$
-//
-//
-// Author(s)     : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
-//                 Sylvain Pion <Sylvain.Pion@sophia.inria.fr>
-//                 Andreas Fabri <Andreas.Fabri@sophia.inria.fr>
-//                 Nico Kruithof <Nico.Kruithof@sophia.inria.fr>
-//                 Manuel Caroli <Manuel.Caroli@sophia.inria.fr>
-//                 Aymeric Pellé <Aymeric.Pelle@sophia.inria.fr>
-#ifndef CGAL_PERIODIC_4_CONSTRUCT_HYPERBOLIC_POINT_2_H
-#define CGAL_PERIODIC_4_CONSTRUCT_HYPERBOLIC_POINT_2_H
-
-#include <CGAL/Square_root_2_field.h>
-#include <CGAL/Hyperbolic_octagon_translation.h>
-
-namespace CGAL
-{
-template < typename K, typename Construct_point_2_base>
-class Periodic_4_construct_hyperbolic_point_2 : public Construct_point_2_base
-{
-  typedef K Kernel;
-
-public:
-  typedef typename Kernel::Point_2            Point;
-  typedef std::vector<int>                    Word;
-  typedef typename Kernel::Circle_2           Circle_2;
-
-  typedef Point                               result_type;
-
-  Periodic_4_construct_hyperbolic_point_2(const Circle_2 & dom) : _dom(dom) { }
-
-  Point operator() ( const Point& p, const Word& w ) const {
-    pair<double, double> pt = w.apply(to_double(p.x()), to_double(p.y()));
-    Point r = Point(pt.first, pt.second);
-
-    // Do we need this? I (iiordano) think it's a good idea...
-    assert( _dom.has_on_bounded_side(r) );
-    
-    return r;
-  }
-
-private:
-  Circle_2 _dom;
-};
-}
-
-#endif

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_2.h

@@ -21,61 +21,173 @@
 #define CGAL_PERIODIC_4_HYPERBOLIC_DELAUNAY_TRIANGULATION_2_H
 
 #include <vector>
+#include <map>
 
 #include <CGAL/Square_root_2_field.h>
 #include <CGAL/Hyperbolic_octagon_translation_matrix.h>
-#include <CGAL/Delaunay_hyperbolic_triangulation_2.h>
+#include <CGAL/Periodic_4_hyperbolic_triangulation_2.h>
+#include <CGAL/Periodic_4_hyperbolic_triangulation_ds_vertex_base_2.h>
+#include <CGAL/Periodic_4_hyperbolic_triangulation_ds_face_base_2.h>
+#include <CGAL/Hyperbolic_word_4.h>
+
 
 namespace CGAL {
 
-template <  class Gt, 
+template <  class GT,
-            class Tds = Triangulation_data_structure_2 <
+            class TDS = Triangulation_data_structure_2<
-                        Triangulation_vertex_base_2<Gt>, 
+              Triangulation_vertex_base_with_info_2<Hyperbolic_translation_info<std::string>, GT, Periodic_4_hyperbolic_triangulation_ds_vertex_base_2<GT> >,
-                        Triangulation_face_base_with_info_2<Hyperbolic_face_info_2, Gt> > >
+              Triangulation_face_base_with_info_2<Periodic_4_hyperbolic_face_info_2, GT, Periodic_4_hyperbolic_triangulation_ds_face_base_2<> >
-class Periodic_4_hyperbolic_Delaunay_triangulation_2 : public Delaunay_hyperbolic_triangulation_2<Gt, Tds> {
+            >
+          >
+class Periodic_4_hyperbolic_Delaunay_triangulation_2 :
+public Periodic_4_hyperbolic_triangulation_2<GT, TDS> {
+
+  typedef Periodic_4_hyperbolic_Delaunay_triangulation_2<GT, TDS>   Self;
+  typedef Periodic_4_hyperbolic_triangulation_2<GT, TDS>            Base;
 
 public:
-    typedef Delaunay_hyperbolic_triangulation_2<Gt, Tds>                Base;
+  typedef typename Base::Locate_type                         Locate_type;
-    typedef Periodic_4_hyperbolic_Delaunay_triangulation_2<Gt, Tds>     Self;
+  typedef typename Base::Geometric_traits                    Geometric_traits;
+  typedef typename Base::Triangulation_data_structure        Triangulation_data_structure;
+  typedef typename Base::Int                                 Int;
+  typedef typename Base::Offset                              Offset;
+  typedef typename Base::Circle_2                            Circle_2;
+  typedef Circle_2                                           Circle;
+  typedef typename Base::Point_2                             Point_2;
+  typedef Point_2                                            Point;
+  typedef typename Base::Segment_2                           Segment_2;
+  typedef Segment_2                                          Segment;
+  typedef typename Base::Triangle_2                          Triangle_2;
+  typedef Triangle_2                                         Triangle;
 
-    typedef typename Base::Face_base                                    Face_base;
+  typedef typename Base::Periodic_point                      Periodic_point;
-    typedef typename Base::size_type                                    size_type;
+  typedef typename Base::Periodic_segment                    Periodic_segment;
-    typedef typename Base::Vertex_handle                                Vertex_handle;
+  typedef typename Base::Periodic_triangle                   Periodic_triangle;  
-    typedef typename Base::Face_handle                                  Face_handle;
-    typedef typename Base::Edge                                         Edge;
 
-    typedef typename Base::Edge_circulator                              Edge_circulator;
+  typedef typename Base::Vertex                              Vertex;
-    typedef typename Base::Face_circulator                              Face_circulator;
+  typedef typename Base::Edge                                Edge;
-    typedef typename Base::Vertex_circulator                            Vertex_circulator;
+  typedef typename Base::Face                                Face;
 
-    typedef typename Base::All_vertices_iterator                        All_vertices_iterator;
+  typedef typename Base::Vertex_handle                       Vertex_handle;
-    typedef typename Base::All_edges_iterator                           All_edges_iterator;
+  typedef typename Base::Face_handle                         Face_handle;
-    typedef typename Base::All_faces_iterator                           All_faces_iterator;
 
-    typedef Gt                                                          Geom_traits;
+  typedef typename Base::size_type                           size_type;
-    typedef typename Geom_traits::FT                                    FT;
+  typedef typename Base::difference_type                     difference_type;
-    typedef typename Geom_traits::Point_2                               Point;
-    typedef typename Geom_traits::Segment_2                             Segment;
 
-    // Periodic stuff
+  typedef typename Base::Face_iterator                       Face_iterator;
-    typedef Hyperbolic_octagon_translation_matrix                       Offset;
+  typedef typename Base::Edge_iterator                       Edge_iterator;
-    typedef std::pair<Point, Offset>                                    Periodic_point;
+  typedef typename Base::Vertex_iterator                     Vertex_iterator;
-    typedef array< std::pair<Point,Offset>, 2>                          Periodic_segment;
+  typedef typename Base::Face_circulator                     Face_circulator;
-    typedef array< std::pair<Point,Offset>, 3>                          Periodic_triangle;
+  typedef typename Base::Edge_circulator                     Edge_circulator;
+  typedef typename Base::Vertex_circulator                   Vertex_circulator;
+
+  typedef Face_iterator                                      All_faces_iterator;
+  typedef Edge_iterator                                      All_edges_iterator;
+  typedef Vertex_iterator                                    All_vertices_iterator;
+
+  typedef Face_iterator                                      Finite_faces_iterator;
+  typedef Edge_iterator                                      Finite_edges_iterator;
+  typedef Vertex_iterator                                    Finite_vertices_iterator;
+
+  typedef Periodic_4_hyperbolic_triangulation_unique_vertex_iterator_2<Self>
+                                                             Unique_vertex_iterator;
+
+private:
+    typedef typename GT::FT                                  FT;
+    typedef std::pair< Vertex_handle, Offset >               Virtual_vertex;
+    typedef std::map<Vertex_handle, Virtual_vertex>          Virtual_vertex_map;
+    typedef typename Virtual_vertex_map::const_iterator      Virtual_vertex_map_it;
+    typedef std::map<Vertex_handle, std::vector<Vertex_handle > > 
+                                                             Virtual_vertex_reverse_map;
+    typedef typename Virtual_vertex_reverse_map::const_iterator
+                                                             Virtual_vertex_reverse_map_it;
+    typedef Triple< Vertex_handle, Vertex_handle, Vertex_handle >
+                                                             Vertex_triple;
+
+public:
+    typedef Periodic_4_hyperbolic_triangulation_triangle_iterator_2<Self>
+                                                             Periodic_triangle_iterator;
+    typedef Periodic_4_hyperbolic_triangulation_segment_iterator_2<Self>
+                                                             Periodic_segment_iterator;
+    typedef Periodic_4_hyperbolic_triangulation_point_iterator_2<Self>
+                                                             Periodic_point_iterator;
+
+    typedef Point                                            value_type;
+    typedef const value_type&                                const_reference;
+    typedef Tag_false                                        Weighted_tag;
+
+private:
+  Geometric_traits              _gt;
+  Triangulation_data_structure  _tds; 
+  Circle                        _domain;
 
 
-    Periodic_4_hyperbolic_Delaunay_triangulation_2(const Gt& gt = Gt())
+  void init_tds() {
-    : Delaunay_hyperbolic_triangulation_2<Gt,Tds>(gt) {}
+    _tds.set_dimension(-2);
+    v_offsets.reserve(14);
+  }
 
-    Periodic_4_hyperbolic_Delaunay_triangulation_2(
+protected:
-         const Delaunay_hyperbolic_triangulation_2<Gt,Tds> &tr)
+  mutable std::vector<Vertex_handle> v_offsets;
-    : Delaunay_hyperbolic_triangulation_2<Gt,Tds>(tr) {   
-        CGAL_triangulation_postcondition( this->is_valid() );
-    }
 
-    void insert_dummy_points(std::vector<typename Gt::Point_2>&);
+public:
 
-};
+  Periodic_4_hyperbolic_Delaunay_triangulation_2(Geometric_traits gt) : 
+    _gt(gt), _domain( Circle_2(Point(0,0), 1*1) ), _tds() {
+    init_tds();
+  }  
+
+  Periodic_4_hyperbolic_Delaunay_triangulation_2(
+    const Circle_2 domain = Circle_2(Point_2(FT(0),FT(0)), FT(1*1)), 
+    const Geometric_traits &gt = Geometric_traits() ) :
+    _gt(gt), _domain(domain), _tds() {
+    //_gt.set_domain(_domain);
+    init_tds();
+  }
+
+  Periodic_4_hyperbolic_Delaunay_triangulation_2(const Periodic_4_hyperbolic_Delaunay_triangulation_2& tr) :
+    _gt(tr.geom_traits()),
+    _domain(tr._domain) {
+    CGAL_triangulation_expensive_postcondition(*this == tr);
+  }
+
+
+  Vertex_handle insert(const Point  &p,
+                       Face_handle start = Face_handle() );
+
+  Vertex_handle insert(const Point& p,
+                       Locate_type lt,
+                       Face_handle loc, int li );
+
+  template < class InputIterator >
+  std::ptrdiff_t insert(InputIterator first, 
+                        InputIterator last, 
+                        bool is_large_point_set = true);
+
+
+};  // class Periodic_4_hyperbolic_Delaunay_triangulation_2
+
+    
+template < class Gt, class Tds >
+inline
+typename Periodic_4_hyperbolic_Delaunay_triangulation_2<Gt, Tds>::Vertex_handle
+Periodic_4_hyperbolic_Delaunay_triangulation_2<Gt, Tds>::
+insert(const Point  &p,  Face_handle start)
+{
+  std::cout << "Inseritng now! Yeah!" << std::endl;
+  return Vertex_handle();
+}
+
+
+template < class Gt, class Tds >
+inline
+typename Periodic_4_hyperbolic_Delaunay_triangulation_2<Gt, Tds>::Vertex_handle
+Periodic_4_hyperbolic_Delaunay_triangulation_2<Gt, Tds>::
+insert(const Point  &p, Locate_type lt, Face_handle loc, int li)
+{
+  std::cout << "Inseritng now! Right!" << std::endl;
+  return Vertex_handle();
+}
 
 
 } // namespace CGAL

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_dummy.h

@@ -1,259 +0,0 @@
-// Copyright (c) 2010  INRIA Sophia-Antipolis (France).
-// All rights reserved.
-//
-// This file is part of CGAL (www.cgal.org); you may redistribute it under
-// the terms of the Q Public License version 1.0.
-// See the file LICENSE.QPL 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://scm.gforge.inria.fr/svn/cgal/branches/candidate-packages/Triangulation_2/include/CGAL/Delaunay_triangulation_2.h $
-// $Id: Delaunay_triangulation_2.h 57509 2010-07-15 09:14:09Z sloriot $
-//
-//
-// Author(s)     : Mikhail Bogdanov
-
-#ifndef CGAL_PERIODIC_4_HYPERBOLIC_DELAUNAY_TRIANGULATION_DUMMY_H
-#define CGAL_PERIODIC_4_HYPERBOLIC_DELAUNAY_TRIANGULATION_DUMMY_H
-
-#include <CGAL/Regular_triangulation_filtered_traits_2.h>
-#include <CGAL/Aff_transformation_2.h>
-
-namespace CGAL {
-    
-    // this class might to be moved to hyperbolic traits
-    template<class GT>
-    class Construct_reflection
-    {
-        typedef typename GT::Point_2  Point_2;
-        typedef typename GT::Circle_2 Circle_2;
-        typedef typename GT::Vector_2 Vector_2;
-        typedef typename GT::FT       FT;
-        
-        typedef typename GT::Compute_squared_distance_2     Compute_squared_distance_2;
-        typedef typename GT::Construct_vector_2             Construct_vector_2;
-        typedef typename GT::Construct_scaled_vector_2      Construct_scaled_vector_2;
-        typedef typename GT::Construct_translated_point_2   Construct_translated_point_2;
-        
-        typedef CGAL::Regular_triangulation_filtered_traits_2<GT> Rtr_2;
-        typedef typename Rtr_2::Construct_weighted_circumcenter_2 Construct_weighted_circumcenter_2;
-        typedef typename Rtr_2::Weighted_point_2                  Weighted_point_2;
-        typedef typename Rtr_2::Bare_point                        Bare_point;
-        
-    public:
-        Construct_reflection(const Circle_2& c = Circle_2(Point_2(0.0, 0.0), 1.)): _unit_circle(c)
-        {
-        }
-        
-        // exact arithmetic! very nice!
-        Point_2 operator ()(const Point_2& p, const Point_2& q, const Point_2& r) const
-        {
-            typedef typename GT::Collinear_2 Collinear_2;
-            if(Collinear_2()(p, q, _unit_circle.center())){
-                assert(false);
-            }
-            Weighted_point_2 wp(p);
-            Weighted_point_2 wq(q);
-            Weighted_point_2 wo(_unit_circle.center(), _unit_circle.squared_radius());
-            
-            Bare_point  center = Construct_weighted_circumcenter_2()(wp, wo, wq);
-            FT          radius = Compute_squared_distance_2()(p, center);
-            FT          dist   = Compute_squared_distance_2()(r,center);
-            Vector_2    vect   = Construct_vector_2()(center,r);
-                        vect   = Construct_scaled_vector_2()(vect,radius/dist);
-            Point_2     image  = Construct_translated_point_2()(center,vect);
-            return image;
-        }
-        
-    private:
-        const Circle_2& _unit_circle;
-    };
-    
-    template<class GT>
-    typename GT::Point_2 apply_rotation(const typename GT::Point_2& p)
-    {
-        // Note Iordan: This is rotation by \pi/4 -- the second and third argument are the values of cos(\theta) and sin(\theta), respectively
-        CGAL::Aff_transformation_2<GT> rotate(CGAL::ROTATION, std::sqrt(0.5), std::sqrt(0.5));
-        
-        return rotate(p);
-    }
-    
-    
-    
-
-    
-    
-    template<class GT>
-    void compute_dummy_points(  std::vector<typename GT::Point_2>& inner_points,
-                                std::vector<typename GT::Point_2>& points_on_boundary,
-                                std::vector<typename GT::Point_2>& points_on_vertex)
-    {
-
-        typedef typename GT::FT FT;
-        typedef typename GT::Point_2 Point_2;
-
-        typedef Aff_transformation_2<GT> Transformation; 
-        //Transformation rotate(ROTATION, 1./sqrt(2.), 1./sqrt(2.)); 
-        Transformation rotate(ROTATION, 1., 0.);                                    // Rotation by pi 
-        //Transformation rotate_pi8(ROTATION, sin(CGAL_PI/8.), cos(CGAL_PI/8.));      // Rotation by pi/8
-
-        points_on_vertex.push_back(Point_2( sqrt(sqrt(2.) + 1.)/ 2. , - sqrt(sqrt(2.) - 1.)/ 2.) );           //  v_0
-        points_on_boundary.push_back(Point_2( sqrt(sqrt(2.) - 1.), 0.));                                                         //  μ(s_0)
-        points_on_boundary.push_back(Point_2( sqrt( (sqrt(2.) - 1.) / 2.) , sqrt( (sqrt(2.) - 1.) / 2.)) );      //  μ(s_1)
-        points_on_boundary.push_back(Point_2(0., sqrt(sqrt(2.) - 1.)));                                                         //  μ(s_2)
-        points_on_boundary.push_back(Point_2(-sqrt( (sqrt(2.) - 1.) / 2.), sqrt( (sqrt(2.) - 1.) / 2.)) );       //  μ(s_3)
-
-        Point_2 a0((2. + sqrt(2.) - sqrt(6.))/(4.*sqrt(sqrt(2.) - 1.)), (sqrt(2.) - 2.*sqrt(3.) + sqrt(6.)) / (4.*sqrt(sqrt(2.) - 1.)));
-
-        /* Consistency reasons (has to be corresponding to vertex 5 of the figure) */
-        //
-        a0 = rotate(a0);
-        a0 = rotate(a0);
-        a0 = rotate(a0);
-
-        inner_points.push_back(a0);
-        for (int k = 1; k < 8; k++) {
-            a0 = rotate(a0);
-            inner_points.push_back(a0);
-        }
-
-        inner_points.push_back(Point_2( 0., 0. ));
-
-        /*
-        assert(inner_points.size()        == 0);
-        assert(points_on_boundary.size()  == 0);
-        assert(points_on_vertex.size()    == 0);
-        
-        typedef typename GT::Kernel  K;
-        typedef typename GT::Point_2 Point_2;
-        
-        double phi = CGAL_PI / 8.;
-        double psi = CGAL_PI / 3.;
-        double rho = std::sqrt(cos(psi)*cos(psi) - sin(phi)*sin(phi));
-        
-        const Point_2 o(0.0, 0.0);
-        const Point_2 a(cos(phi)*cos(phi + psi)/rho, sin(phi)*cos(phi + psi)/rho);
-        const Point_2 b(a.x(), -a.y());
-        
-        inner_points.push_back(b);
-        Point_2 c = Construct_reflection<K>()(a, b, o);
-        Point_2 d = Construct_reflection<K>()(a, c, b);
-        //inner_points.push_back(d);
-        Point_2 e = Construct_reflection<K>()(d, c, a);
-        Point_2 f = Construct_reflection<K>()(d, e, c);
-        
-        int size = inner_points.size();
-        for(int i = 0; i < 7; i++) {
-            for(int j = 0; j < size; j++) {
-                inner_points.push_back(apply_rotation<K>(inner_points[i*size + j]));
-            }
-        }
-        inner_points.push_back(o);
-        
-        Point_2 cr = c;
-        Point_2 fr = f;
-        for (int i = 0; i < 2; i++) {
-            cr = apply_rotation<K>(cr);
-            fr = apply_rotation<K>(fr);
-        }
-
-        points_on_boundary.push_back(cr);
-        for(int i = 1; i < 4; i++) {
-           points_on_boundary.push_back(apply_rotation<K>(points_on_boundary[i-1]));
-        }
-        
-
-        points_on_vertex.push_back(apply_rotation<K>(fr));
-        */
-    }
-    
-    /*
-
-    template<class GT>
-    void recursive_translate(Diametric_translations<GT> g,
-                             std::vector<typename GT::Point_2>& points,
-                             int depth,
-                             int start,
-                             int end) {
-        
-        if (depth > 0) {
-            int my_start = points.size();
-            int my_end   = start;
-            
-            for (int i = start; i <= end; i++){
-                typename GT::Point_2 subject = points[i];
-                points.push_back( g.a().DoAction(subject) );
-                points.push_back( g.b().inverse().DoAction(subject) );
-                points.push_back( g.c().DoAction(subject) );
-                points.push_back( g.d().inverse().DoAction(subject) );
-                points.push_back( g.a().inverse().DoAction(subject) );
-                points.push_back( g.b().DoAction(subject) );
-                points.push_back( g.c().inverse().DoAction(subject) );
-                points.push_back( g.d().DoAction(subject) );
-                my_end += 8;
-            }
-            
-            recursive_translate(g, points, depth - 1, my_start, my_end);
-        }
-        
-    }
-    
-    
-    
-    template<class GT>
-    void recursive_translate(Diametric_translations<GT> g,
-                             std::vector<typename GT::Point_2>& points,
-                             typename GT::Point_2 subject,
-                             int depth) {
-        
-        if (depth > 0) {
-            int start = points.size();
-            int end   = start + 8;
-            
-            // Add points in the order indicated by the group -- not necessary, but seems logical
-            points.push_back( g.a().DoAction(subject) );
-            points.push_back( g.b().inverse().DoAction(subject) );
-            points.push_back( g.c().DoAction(subject) );
-            points.push_back( g.d().inverse().DoAction(subject) );
-            points.push_back( g.a().inverse().DoAction(subject) );
-            points.push_back( g.b().DoAction(subject) );
-            points.push_back( g.c().inverse().DoAction(subject) );
-            points.push_back( g.d().DoAction(subject) );
-            
-            recursive_translate(g, points, depth - 1, start, end);
-        }
-        
-    }
-*/
-    
-    template < class Gt, class Tds >
-    void Periodic_4_hyperbolic_Delaunay_triangulation_2<Gt, Tds>::
-    insert_dummy_points(std::vector<typename Gt::Point_2>& all_points) {
-        
-        std::vector<typename Gt::Point_2> inner_points, points_on_boundary, points_on_vertex;
-        compute_dummy_points<Gt>(inner_points, points_on_boundary, points_on_vertex);
-        all_points = inner_points;
-        
-        
-        for (int i = 0; i < points_on_boundary.size(); i++) {
-            all_points.push_back(points_on_boundary[i]);
-        }
-        
-        for (int i = 0; i < points_on_vertex.size(); i++) {
-            all_points.push_back(points_on_vertex[i]);
-        }
-        
-
-        
-        std::cout << "All points length: " << all_points.size() << std::endl;
-        
-        }
-        
-    } // namespace CGAL
-    
-#endif // CGAL_PERIODIC_4_HYPERBOLIC_DELAUNAY_TRIANGULATION_DUMMY_H
-    

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_traits_2.h

@@ -31,24 +31,114 @@
 #include <CGAL/distance_predicates_2.h>
 #include <CGAL/Aff_transformation_2.h>
 #include <CGAL/Regular_triangulation_filtered_traits_2.h>
-#include <CGAL/Triangulation_hyperbolic_traits_2.h>
+#include "../../../Hyperbolic_triangulation_2/include/CGAL/Triangulation_hyperbolic_traits_2.h"
 #include "boost/tuple/tuple.hpp"
 #include "boost/variant.hpp"
 
 namespace CGAL {
 
+
+template < class K, class Predicate_ >
+class Hyperbolic_traits_with_offsets_2_adaptor
+{
+  typedef K Kernel;
+  typedef Predicate_ Predicate;
+
+  typedef typename Kernel::Point_2                  Point;
+  typedef Hyperbolic_word_4<unsigned short int>     Offset;
+
+  // Use the construct_point_2 predicate from the kernel to convert the periodic points to Euclidean points
+  typedef typename Kernel::Construct_point_2        Construct_point_2;
+public:
+  typedef typename Kernel::Circle_2                 Circle_2;
+
+public:
+  typedef typename Predicate::result_type           result_type;
+
+  Hyperbolic_traits_with_offsets_2_adaptor(const Circle_2 * dom) : _domain(dom) { }
+
+  result_type operator()(const Point& p0, const Point& p1,
+                         const Offset& o0, const Offset& o1) const
+  {
+    return Predicate()(pp(p0, o0), pp(p1, o1));
+  }
+  result_type operator()(const Point& p0, const Point& p1, const Point& p2,
+                         const Offset& o0, const Offset& o1, const Offset& o2) const
+  {
+    return Predicate()(pp(p0, o0), pp(p1, o1), pp(p2, o2));
+  }
+  result_type operator()(const Point& p0, const Point& p1,
+                         const Point& p2, const Point& p3,
+                         const Offset& o0, const Offset& o1,
+                         const Offset& o2, const Offset& o3) const
+  {
+    return Predicate()(pp(p0, o0), pp(p1, o1), pp(p2, o2), pp(p3, o3));
+  }
+
+  result_type operator()(const Point& p0, const Point& p1) const
+  {
+    return Predicate()(p0, p1);
+  }
+  result_type operator()(const Point& p0, const Point& p1,
+                         const Point& p2) const
+  {
+    return Predicate()(p0, p1, p2);
+  }
+  result_type operator()(const Point& p0, const Point& p1,
+                         const Point& p2, const Point& p3) const
+  {
+    return Predicate()(p0, p1, p2, p3);
+  }
+
+private:
+  Point pp(const Point &p, const Offset &o) const
+  {
+    return o.apply(p);
+  }
+public:
+  const Circle_2* _domain;
+};
+
+
+
+template < typename K, typename Construct_point_base>
+class Periodic_4_hyperbolic_construct_point_2 : public Construct_point_base
+{
+  typedef K Kernel;
+
+public:
+  typedef typename Kernel::Point_2         Point;
+  typedef typename Kernel::Offset          Offset;
+  typedef typename Kernel::Circle_2        Circle_2;
+
+  typedef Point                            result_type;
+
+  Periodic_4_hyperbolic_construct_point_2(const Circle_2 & dom) : _dom(dom) { }
+
+  Point operator() ( const Point& p, const Offset& o ) const
+  {
+    return o.apply(p);
+  }
+
+private:
+  Circle_2 _dom;
+};
+
+
+
+
 template< class R >
 class Periodic_4_hyperbolic_Delaunay_triangulation_traits_2 {
 
 public:
 
   typedef R                                               Kernel;
+  typedef R                                               K;
   typedef typename R::Kernel_base                         Kernel_base;
   typedef typename R::Direction_2                         Direction_2;
 
   typedef Periodic_4_hyperbolic_Delaunay_triangulation_traits_2<R>
                                                           Self;
-
 	typedef Triangulation_hyperbolic_traits_2<R> 				    Base;	    
 
 	// Basic types
@@ -70,26 +160,30 @@ public:
   typedef typename Base::Segment_2 						            Segment_2;
   typedef typename Base::Euclidean_line_2 		            Euclidean_line_2;
           
-	// Predicates and comparisons
- 	typedef typename Base::Less_x_2                   			Less_x_2;
- 	typedef typename Base::Less_y_2                   			Less_y_2;
- 	typedef typename Base::Compare_x_2                			Compare_x_2;
- 	typedef typename Base::Compare_y_2                			Compare_y_2;
- 	typedef typename Base::Orientation_2              			Orientation_2;
- 	typedef typename Base::Side_of_oriented_circle_2  			Side_of_oriented_circle_2;
- 	typedef typename Base::Compare_distance_2         			Compare_distance_2;
- 	typedef typename Base::Compute_squared_distance_2    		Compute_squared_distance_2;
 
  	// Constructions
- 	typedef typename Base::Construct_bisector_2       			Construct_bisector_2;
+
- 	typedef typename Base::Construct_hyperbolic_bisector_2 	Construct_hyperbolic_bisector_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Less_x_2>                   Less_x_2;
- 	typedef typename Base::Construct_triangle_2       			Construct_triangle_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Less_y_2>                   Less_y_2;
- 	typedef typename Base::Construct_direction_2      			Construct_direction_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Compare_x_2>                Compare_x_2;
- 	typedef typename Base::Construct_midpoint_2          		Construct_midpoint_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Compare_y_2>                Compare_y_2;
- 	typedef typename Base::Construct_circumcenter_2 			  Construct_circumcenter_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Compare_xy_2>               Compare_xy_2;
- 	typedef typename Base::Construct_segment_2 					    Construct_segment_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Orientation_2>              Orientation_2;
- 	typedef typename Base::Construct_ray_2 						      Construct_ray_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Side_of_oriented_circle_2>  Side_of_oriented_circle_2;
- 	typedef typename Base::Is_hyperbolic 						        Is_hyperbolic;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Compute_squared_radius_2>   Compute_squared_radius_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_center_2>         Construct_center_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_circumcenter_2>   Construct_circumcenter_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_bisector_2>       Construct_bisector_2;
+  typedef Periodic_4_hyperbolic_construct_point_2<Self,  typename K::Construct_point_2>          Construct_point_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_midpoint_2>       Construct_midpoint_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Compare_distance_2>         Compare_distance_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_segment_2>        Construct_segment_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_triangle_2>       Construct_triangle_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_direction_2>      Construct_direction_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename K::Construct_ray_2>            Construct_ray_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, 
+                                              typename Base::Construct_hyperbolic_bisector_2>    Construct_hyperbolic_bisector_2;
+  typedef Hyperbolic_traits_with_offsets_2_adaptor<Self, typename Base::Is_hyperbolic>           Is_hyperbolic;
 
 private:
 	Circle_2 _domain;
@@ -150,7 +244,7 @@ public:
   
   	Orientation_2
   	orientation_2_object() const { 
-  		return Orientation_2();
+  		return Orientation_2(&_domain);
   	}
   
   	Side_of_oriented_circle_2
@@ -189,7 +283,7 @@ public:
   	}
 
   	Is_hyperbolic 
-  	Is_hyperbolic_object() const { 
+  	is_hyperbolic_object() const { 
   		return Is_hyperbolic(); 
   	}
 

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_hyperbolic_offset.h

@@ -1,78 +0,0 @@
-#ifndef CGAL_PERIODIC_4_HYPERBOLIC_OFFSET_H
-#define CGAL_PERIODIC_4_HYPERBOLIC_OFFSET_H
-
-#include <vector>
-#include <string>
-#include <CGAL/Square_root_2_field.h>
-#include <CGAL/Hyperbolic_octagon_translation_matrix.h>
-
-namespace CGAL {
-
-typedef std::vector<int> 														Index_sequence;
-typedef std::pair<Hyperbolic_octagon_translation_matrix, Index_sequence>		Word;
-
-
-
-
-
-
-class Periodic_4_hyperbolic_offset {
-
-private:
-	Index_sequence 												_index_sequence;
-	Hyperbolic_octagon_translation_matrix 						_Hyperbolic_octagon_translation_matrix;
-	Word 														_word;
-	std::vector<Hyperbolic_octagon_translation_matrix>		 	_gens;
-
-public:
-
-	Periodic_4_hyperbolic_offset(Index_sequence iw) {
-		get_generators(_gens);
-		_index_sequence = iw;
-
-		_Hyperbolic_octagon_translation_matrix = _gens[_index_sequence[0]];
-		for (int i = 1; i < _index_sequence.size(); i++) {
-			_Hyperbolic_octagon_translation_matrix = _Hyperbolic_octagon_translation_matrix * _gens[_index_sequence[i]];
-		}
-
-		_word = Word(_Hyperbolic_octagon_translation_matrix, _index_sequence);
-	}
-
-	void Get_word(Word& w) {
-		w = Word(_word.first, _word.second);
-	}
-
-
-	pair<double, double> Apply_to(double x, double y) {
-		return _Hyperbolic_octagon_translation_matrix.apply(x, y);
-	}
-
-
-};	// class Periodic_4_hyperbolic_offset
-
-
-
-} // namespace CGAL
-
-
-std::ostream& operator<<(std::ostream& os, const CGAL::Index_sequence& w)
-{
-   	for (int i = 0; i < w.size() - 1; i++) {
-   		os << w[i] << " ";
-   	}
-   	os << w[w.size() - 1];
-   	return os;
-}
-
-std::ostream& operator<<(std::ostream& os, const CGAL::Word& w)
-{
-	os << w.first << ", ";
-   	for (int i = 0; i < w.second.size() - 1; i++) {
-   		os << w.second[i] << " ";
-   	}
-   	os << w.second[w.second.size() - 1];
-   	return os;
-}
-
-
-#endif  // CGAL_PERIODIC_4_HYPERBOLIC_OFFSET_H

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_hyperbolic_triangulation_ds_face_base_2.h

@@ -0,0 +1,295 @@
+// Copyright (c) 1999-2016   INRIA Nancy - Grand Est (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+// You can redistribute it and/or modify it under the terms of the GNU
+// General Public License as published by the Free Software Foundation,
+// either version 3 of the License, or (at your option) any later version.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+// 
+//
+// Author(s)     : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
+//                 Iordan Iordanov  <Iordan.Iordanov@loria.fr>
+
+#ifndef CGAL_PERIODIC_4_HYPERBOLIC_TIANGULATION_DS_FACE_BASE_2
+#define CGAL_PERIODIC_4_HYPERBOLIC_TIANGULATION_DS_FACE_BASE_2
+
+#include <CGAL/basic.h>
+#include <CGAL/Dummy_tds_2.h>
+#include <CGAL/triangulation_assertions.h>
+#include <CGAL/Hyperbolic_word_4.h>
+
+namespace CGAL {
+
+template  <typename TDS = void >
+class Periodic_4_hyperbolic_triangulation_ds_face_base_2 {
+public:
+	typedef TDS 							Triangulation_data_structure;
+	typedef typename TDS::Vertex_handle		Vertex_handle;
+	typedef typename TDS::Face_handle		Face_handle;
+	typedef typename TDS::Vertex 			Vertex;
+	typedef typename TDS::Face 				Face;
+	typedef unsigned short int 				Int;
+	typedef Hyperbolic_word_4<Int>			Offset;
+
+	template<typename TDS2>
+	struct Rebind_TDS {
+		typedef Periodic_4_hyperbolic_triangulation_ds_face_base_2<TDS2> Other;
+	};
+
+private:
+	Face_handle 	N[3];
+	Vertex_handle	V[3];
+	Offset 			o[3];	// Offsets for vertices
+	Offset 			no[3]; 	// Offsets for neighboring faces (neighbor face i is opposite to vertex i)
+	int 			face_number;
+
+public:
+
+	Periodic_4_hyperbolic_triangulation_ds_face_base_2() 
+#ifndef CGAL_CFG_NO_CPP0X_UNIFIED_INITIALIZATION_SYNTAX
+	: o{Offset(), Offset(), Offset()}, no{Offset(), Offset(), Offset()}
+	{}
+#else
+	{
+		set_offsets();
+	}
+#endif
+
+	Periodic_4_hyperbolic_triangulation_ds_face_base_2(
+		const Vertex_handle& v0, const Vertex_handle& v1,
+		const Vertex_handle& v2) 
+#ifndef CGAL_CFG_NO_CPP0X_UNIFIED_INITIALIZATION_SYNTAX
+	: V{v0, v1, v2},
+	  o{Offset(), Offset(), Offset()}, no{Offset(), Offset(), Offset()}
+	{
+		set_neighbors();
+	}
+#else
+	{
+		set_offsets();
+		set_vertices(v0, v1, v2);
+		set_neighbors();
+	}
+#endif
+
+
+
+	Periodic_4_hyperbolic_triangulation_ds_face_base_2(
+		const Vertex_handle& v0, const Vertex_handle& v1,
+		const Vertex_handle& v2, const Face_handle&   n0,
+		const Face_handle&   n1, const Face_handle&   n2) 
+#ifndef CGAL_CFG_NO_CPP0X_UNIFIED_INITIALIZATION_SYNTAX
+	: V{v0, v1, v2},
+	  N{n0, n1, n2},
+	  o{Offset(), Offset(), Offset()}, no{Offset(), Offset(), Offset()}
+	{
+		set_neighbors();
+	}
+#else
+	{
+		set_offsets();
+		set_vertices(v0, v1, v2);
+		set_neighbors(n0, n1, n2);
+	}
+#endif
+
+
+
+	// ACCESS
+
+	const Vertex_handle& vertex(int i) const {
+    	CGAL_triangulation_precondition( i >= 0 && i <= 2 );
+    	return V[i];
+	}
+
+
+	bool has_vertex(const Vertex_handle& v) const {
+		return (V[0] == v) || (V[1] == v) || (V[2]== v);
+	}
+
+
+	int index(const Vertex_handle& v) const {
+    	if (v == V[0]) { return 0; }
+    	if (v == V[1]) { return 1; }
+    	CGAL_triangulation_assertion( v == V[2] );
+    	return 2;
+	}
+
+
+	const Face_handle& neighbor(int i) const {
+    	CGAL_triangulation_precondition( i >= 0 && i <= 2);
+    	return N[i];
+	}
+
+
+	bool has_neighbor(const Face_handle& n) const {
+    	return (N[0] == n) || (N[1] == n) || (N[2] == n);
+	}
+
+
+	bool has_neighbor(const Face_handle& n, int & i) const {
+    	if(n == N[0]){ i = 0; return true; }
+    	if(n == N[1]){ i = 1; return true; }
+   	 	if(n == N[2]){ i = 2; return true; }
+    	return false;
+	}
+
+	int index(const Face_handle& n) const {
+    	if (n == N[0]) return 0;
+    	if (n == N[1]) return 1;
+    	CGAL_triangulation_assertion( n == N[2] );
+    	return 2;
+	}
+
+	Offset offset(int i) const {
+		CGAL_triangulation_precondition( i >= 0 && i <= 2 );
+		return o[i];
+	}
+
+
+	Offset neighbor_offset(int i) const {
+		CGAL_triangulation_precondition( i >= 0 && i <= 2 );
+		return no[i];
+	}
+
+
+	// SETTING
+
+	void set_number(int n) {
+		face_number = n;
+	}
+
+	int get_number() {
+		return face_number;
+	}
+
+	void set_offsets() {
+		o[0] = Offset();
+		o[1] = Offset();
+		o[2] = Offset();
+		no[0] = Offset();
+		no[1] = Offset();
+		no[2] = Offset();
+	}
+
+	void set_offsets(
+		const Offset& o0, const Offset& o1, 
+		const Offset& o2) 
+	{
+		o[0] = o0;
+		o[1] = o1;
+		o[2] = o2;
+	}
+
+	void set_neighbor_face_offsets(
+		const Offset& no0, const Offset& no1, 
+		const Offset& no2) 
+	{
+		no[0] = no0;
+		no[1] = no1;
+		no[2] = no2;
+	}
+
+	void set_offsets(
+		const Offset& o0,  const Offset& o1, 
+		const Offset& o2,  const Offset& no0,
+		const Offset& no1, const Offset& no2) 
+	{
+		o[0] = o0;
+		o[1] = o1;
+		o[2] = o2;
+		no[0] = no0;
+		no[1] = no1;
+		no[2] = no2;
+	}
+
+	void set_vertices() {
+		V[0] = V[1] = V[2] = Vertex_handle();
+	}
+
+	void set_vertices(
+		const Vertex_handle& v0, const Vertex_handle v1, 
+		const Vertex_handle& v2)
+	{
+		V[0] = v0;
+		V[1] = v1;
+		V[2] = v2;
+	}
+
+	void set_neighbors() {
+		N[0] = N[1] = N[2] = Face_handle();
+	}
+
+	void set_neighbors(
+		const Face_handle& n0, const Face_handle& n1,
+		const Face_handle& n2)
+	{
+		N[0] = n0;
+		N[1] = n1;
+		N[2] = n2;
+	}
+
+	  // CHECKING
+
+  	// the following trivial is_valid allows
+  	// the user of derived cell base classes
+  	// to add their own purpose checking
+
+  	bool is_valid(bool, int) const { 
+  		return true; 
+  	}
+
+  	// For use by Compact_container.
+  	void * for_compact_container() const { return N[0].for_compact_container(); }
+  	void * & for_compact_container()     { return N[0].for_compact_container(); }
+
+};
+
+
+template < class TDS >
+inline
+std::istream&
+operator>>(std::istream &is, Periodic_4_hyperbolic_triangulation_ds_face_base_2<TDS> &)
+  // non combinatorial information. Default = nothing
+{
+  return is;
+}
+
+template < class TDS >
+inline
+std::ostream&
+operator<<(std::ostream &os,
+    const Periodic_4_hyperbolic_triangulation_ds_face_base_2<TDS> &)
+  // non combinatorial information. Default = nothing
+{
+  return os;
+}
+
+// Specialization for void.
+template <>
+class Periodic_4_hyperbolic_triangulation_ds_face_base_2<void>
+{
+public:
+  typedef Dummy_tds_2                  					Triangulation_data_structure;
+  typedef Triangulation_data_structure::Vertex_handle   Vertex_handle;
+  typedef Triangulation_data_structure::Face_handle     Face_handle;
+  template <typename TDS2>
+  struct Rebind_TDS {
+    typedef Periodic_4_hyperbolic_triangulation_ds_face_base_2<TDS2> Other;
+  };
+};
+
+
+}  // namespace CGAL
+
+
+#endif  // CGAL_PERIODIC_4_HYPERBOLIC_TIANGULATION_DS_FACE_BASE_2

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_hyperbolic_triangulation_ds_vertex_base_2.h

@@ -0,0 +1,166 @@
+// Copyright (c) 1999-2016   INRIA Nancy - Grand Est (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+// You can redistribute it and/or modify it under the terms of the GNU
+// General Public License as published by the Free Software Foundation,
+// either version 3 of the License, or (at your option) any later version.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+// 
+//
+// Author(s)     : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
+//                 Iordan Iordanov  <Iordan.Iordanov@loria.fr>
+
+
+#ifndef CGAL_PERIODIC_4_HYPERBOLIC_TRIANGULATION_DS_VERTEX_BASE_2_H
+#define CGAL_PERIODIC_4_HYPERBOLIC_TRIANGULATION_DS_VERTEX_BASE_2_H
+
+#include <CGAL/basic.h>
+#include <CGAL/Dummy_tds_2.h>
+#include <CGAL/Hyperbolic_word_4.h>
+
+
+namespace CGAL {
+
+template< typename GT, typename TDS = void >
+class Periodic_4_hyperbolic_triangulation_ds_vertex_base_2 {
+public:
+	typedef TDS 							Triangulation_data_structure;
+	typedef typename TDS::Vertex_handle     Vertex_handle;
+	typedef typename TDS::Face_handle 		Face_handle;
+	typedef typename GT::Point_2			Point;
+	//typedef unsigned short int 				Int;
+	//typedef Hyperbolic_word_4<Int>			Offset;
+
+	template <typename TDS2>
+  	struct Rebind_TDS {
+    	typedef Periodic_4_hyperbolic_triangulation_ds_vertex_base_2<GT, TDS2> Other;
+  	};
+
+private:
+	Face_handle _face;
+	//Offset		_off;   // NO OFFSET HERE!!!!
+	//bool 		_offset_flag;
+	int 		_idx;
+	Point 		_p;
+
+public:
+	Periodic_4_hyperbolic_triangulation_ds_vertex_base_2() :
+	_face()
+	{}
+
+	Periodic_4_hyperbolic_triangulation_ds_vertex_base_2(const Point & p) : 
+	_face(), _p(p) 
+	{}
+
+  	Periodic_4_hyperbolic_triangulation_ds_vertex_base_2(const Point & p, Face_handle fh) : 
+  	_face(fh), _p(p) 
+  	{}
+
+	Periodic_4_hyperbolic_triangulation_ds_vertex_base_2(const Face_handle& fh) :
+	_face(fh)
+	{}
+
+	const Face_handle& face() {
+		return _face;
+	} 
+
+	void set_idx(int idx) {
+		_idx = idx;
+	}
+
+	int idx() {
+		return _idx;
+	}
+
+	void set_face(const Face_handle& fh) {
+		_face = fh;
+	}
+
+	void set_point(const Point & p) { _p = p; }
+  	
+  	const Point&  point() const { return _p; }
+
+  	// the non const version of point() is undocument
+  	// but needed to make the point iterator works
+  	// using Lutz projection scheme
+  	Point&        point() { return _p; }
+
+	/*
+	const Offset& offset() {
+		return _off;
+	}
+
+	void set_offset(const Offset& off) {
+		_off = off;
+		_offset_flag = true;
+	} 
+
+	void clear_offset() {
+		_offset_flag = false;
+		_off = Offset();
+	}
+
+	bool get_offset_flag() const {
+		return _offset_flag;
+	}
+	*/
+
+	// the following trivial is_valid allows
+  	// the user of derived face base classes 
+  	// to add their own purpose checking
+  	bool is_valid(bool = false, int = 0) const { 
+    	return face() != Face_handle();
+  	}
+
+  	// For use by the Compact_container.
+  	void *   for_compact_container() const { 
+  		return _face.for_compact_container(); 
+  	}
+  	
+  	void * & for_compact_container() { 
+  		return _face.for_compact_container(); 
+  	}
+
+};
+
+template < class TDS >
+inline 
+std::istream&
+operator>>(std::istream &is, Periodic_4_hyperbolic_triangulation_ds_vertex_base_2<TDS> &) {
+	return is;
+}
+
+template < class TDS >
+inline
+std::ostream&
+operator<<(std::ostream &os, Periodic_4_hyperbolic_triangulation_ds_vertex_base_2<TDS> &) {
+	return os;
+}
+
+
+// Specialization vor 'void'
+template<typename GT>
+class Periodic_4_hyperbolic_triangulation_ds_vertex_base_2<GT, void> {
+public:
+	typedef Dummy_tds_2 									Triangulation_data_structure;
+	typedef Triangulation_data_structure::Vertex_handle		Vertex_handle;
+	typedef Triangulation_data_structure::Face_handle 		Face_handle;
+	struct  Point {};	
+	template<typename TDS2>
+	struct Rebind_TDS {
+    	typedef Periodic_4_hyperbolic_triangulation_ds_vertex_base_2<GT, TDS2> Other;
+  	};
+};
+
+}  // namespace CGAL
+
+#endif // CGAL_PERIODIC_4_HYPERBOLIC_TRIANGULATION_DS_VERTEX_BASE_2_H

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Periodic_4_hyperbolic_triangulation_dummy_14.h

@@ -0,0 +1,289 @@
+// Copyright (c) 2016  INRIA Nancy - Grand Est (France).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org); you may redistribute it under
+// the terms of the Q Public License version 1.0.
+// See the file LICENSE.QPL 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://scm.gforge.inria.fr/svn/cgal/branches/candidate-packages/Triangulation_2/include/CGAL/Delaunay_triangulation_2.h $
+// $Id: Delaunay_triangulation_2.h 57509 2010-07-15 09:14:09Z sloriot $
+//
+//
+// Author(s)     : Iordan Iordanov
+
+#ifndef CGAL_PERIODIC_4_HYPERBOLIC_TRIANGULATION_DUMMY_14_H
+#define CGAL_PERIODIC_4_HYPERBOLIC_TRIANGULATION_DUMMY_14_H
+
+#include <CGAL/Aff_transformation_2.h>
+
+namespace CGAL {
+
+    template<class Point, class Face_handle>
+    Point barycenter(Face_handle fh) {
+        Point p0 = fh->offset(0).apply(fh->vertex(0)->point());
+        Point p1 = fh->offset(1).apply(fh->vertex(1)->point());
+        Point p2 = fh->offset(2).apply(fh->vertex(2)->point());
+        return Point( (p0.x() + p1.x() + p2.x())/3, (p0.y() + p1.y() + p2.y())/3 );
+    }
+    
+    template<class Point, class Face_handle>
+    Point midpoint(Face_handle fh, int i, int j) {
+        Point p0 = fh->offset(i).apply(fh->vertex(i)->point());
+        Point p1 = fh->offset(j).apply(fh->vertex(j)->point());
+        return Point( (p0.x() + p1.x())/2, (p0.y() + p1.y())/2 );
+    }
+
+    template<class Point, class Face_handle>
+    Point vertex(Face_handle fh, int i) {
+        Point p0 = fh->offset(i).apply(fh->vertex(i)->point());
+        return Point( p0.x(), p0.y() );
+    }
+
+    template < class GT, class TDS >
+    inline std::vector<typename Periodic_4_hyperbolic_triangulation_2<GT, TDS>::Vertex_handle >
+    Periodic_4_hyperbolic_triangulation_2<GT, TDS>::
+    insert_dummy_points() {
+
+        typedef typename GT::FT FT;
+
+        typedef Aff_transformation_2<GT> Transformation; 
+        Transformation rotate(ROTATION, FT(1)/CGAL::sqrt(FT(2)), FT(1)/CGAL::sqrt(FT(2))); 
+
+
+        int fcount = 32;    // Faces count
+        int vcount = 14;    // Vertices count
+
+        FT F0 = FT(0);
+        FT F1 = FT(1);
+        FT F2 = FT(2);
+
+        std::vector<typename GT::Point_2> pts;
+        pts.push_back(Point(FT( CGAL::sqrt(CGAL::sqrt(F2) + F1)/ F2 ), - FT( CGAL::sqrt(CGAL::sqrt(F2) - F1)/ F2) ));           //  v_0
+        pts.push_back(Point(FT( CGAL::sqrt(CGAL::sqrt(F2) - F1)), F0));                                                         //  μ(s_0)
+        pts.push_back(Point(FT( CGAL::sqrt( (CGAL::sqrt(F2) - F1) / F2) ), FT(CGAL::sqrt( (CGAL::sqrt(F2) - F1) / F2)) ));      //  μ(s_1)
+        pts.push_back(Point(F0, FT( CGAL::sqrt(CGAL::sqrt(F2) - F1))));                                                         //  μ(s_2)
+        pts.push_back(Point(-FT(CGAL::sqrt( (CGAL::sqrt(F2) - F1) / F2)), FT(CGAL::sqrt( (CGAL::sqrt(F2) - F1) / F2)) ));       //  μ(s_3)
+
+        FT num_x = FT( F2 + CGAL::sqrt(F2) - CGAL::sqrt(FT(6)) );
+        FT den_x = FT( FT(4)*CGAL::sqrt(CGAL::sqrt(F2) - F1) );
+        FT xi = num_x/den_x;
+        FT yi = FT( (CGAL::sqrt(F2) - F2*CGAL::sqrt(FT(3)) + CGAL::sqrt(FT(6))) / (FT(4)*CGAL::sqrt(CGAL::sqrt(F2) - F1)) );
+
+        Point a0(xi, yi);
+
+        /* Consistency reasons (has to be corresponding to vertex 5 of the figure) */
+        a0 = rotate(a0);
+        a0 = rotate(a0);
+        a0 = rotate(a0);
+
+        pts.push_back(a0);
+        for (int k = 1; k < 8; k++) {
+            a0 = rotate(a0);
+            pts.push_back(a0);
+        }
+
+        pts.push_back(Point( FT(0), FT(0) ));
+
+        
+        int tri[32][3] = { 
+                {  0,   1,   9},    //  0
+                {  1,  10,   9},    //  1
+                {  0,  10,   1},    //  2
+                {  0,   2,  10},    //  3
+                {  0,  11,   2},    //  4
+                {  0,   3,  11},    //  5
+                {  0,  12,   3},    //  6
+                {  0,   4,  12},    //  7
+                {  0,   5,   4},    //  8
+                {  0,   1,   5},    //  9
+                {  0,   6,   1},    // 10
+                {  0,   2,   6},    // 11
+                {  0,   7,   2},    // 12
+                {  0,   3,   7},    // 13
+                {  0,   8,   3},    // 14
+                {  0,   4,   8},    // 15
+                {  0,   9,   4},    // 16
+                {  2,  11,  10},    // 17
+                {  3,  12,  11},    // 18
+                {  4,   5,  12},    // 19
+                {  1,   6,   5},    // 20
+                {  2,   7,   6},    // 21
+                {  3,   8,   7},    // 22
+                {  4,   9,   8},    // 23
+                {  9,  10,  13},    // 24
+                { 10,  11,  13},    // 25
+                { 11,  12,  13},    // 26
+                {  5,  13,  12},    // 27
+                {  5,   6,  13},    // 28
+                {  6,   7,  13},    // 29
+                {  7,   8,  13},    // 30
+                {  8,   9,  13},    // 31
+        };
+
+
+        Offset off[32][3] = {
+            { Offset(),         Offset(),   Offset() },     //  0
+            { Offset(),         Offset(),   Offset() },     //  1
+            { Offset(1,6,3),    Offset(),   Offset() },     //  2
+            { Offset(1,6,3),    Offset(),   Offset() },     //  3
+            { Offset(1,4),      Offset(),   Offset() },     //  4
+            { Offset(1,4),      Offset(),   Offset() },     //  5
+            { Offset(3),        Offset(),   Offset() },     //  6
+            { Offset(3),        Offset(),   Offset() },     //  7
+            { Offset(3,6,1,4),  Offset(),   Offset() },     //  8
+            { Offset(3,6,1,4),  Offset(4),  Offset() },     //  9
+            { Offset(4),        Offset(),   Offset(4)},     // 10
+            { Offset(4),        Offset(5),  Offset() },     // 11
+            { Offset(6,3),      Offset(),   Offset(5)},     // 12
+            { Offset(6,3),      Offset(6),  Offset() },     // 13
+            { Offset(6,1,4),    Offset(),   Offset(6)},     // 14
+            { Offset(6,1,4),    Offset(7),  Offset() },     // 15
+            { Offset(),         Offset(),   Offset(7)},     // 16
+            { Offset(),         Offset(),   Offset() },     // 17
+            { Offset(),         Offset(),   Offset() },     // 18
+            { Offset(),         Offset(),   Offset() },     // 19
+            { Offset(4),        Offset(),   Offset() },     // 20
+            { Offset(5),        Offset(),   Offset() },     // 21
+            { Offset(6),        Offset(),   Offset() },     // 22
+            { Offset(7),        Offset(),   Offset() },     // 23
+            { Offset(),         Offset(),   Offset() },     // 24
+            { Offset(),         Offset(),   Offset() },     // 25
+            { Offset(),         Offset(),   Offset() },     // 26
+            { Offset(),         Offset(),   Offset() },     // 27
+            { Offset(),         Offset(),   Offset() },     // 28
+            { Offset(),         Offset(),   Offset() },     // 29
+            { Offset(),         Offset(),   Offset() },     // 30
+            { Offset(),         Offset(),   Offset() },     // 31
+        };
+        
+        Offset noff[32][3] = {
+            { Offset(),         Offset(),   Offset(0)},     //  0
+            { Offset(),         Offset(),   Offset() },     //  1
+            { Offset(),         Offset(0),  Offset() },     //  2
+            { Offset(),         Offset(),   Offset(1)},     //  3
+            { Offset(),         Offset(1),  Offset() },     //  4
+            { Offset(),         Offset(),   Offset(2)},     //  5
+            { Offset(),         Offset(2),  Offset() },     //  6
+            { Offset(),         Offset(),   Offset(3)},     //  7
+            { Offset(),         Offset(3),  Offset() },     //  8
+            { Offset(),         Offset(),   Offset(4)},     //  9
+            { Offset(),         Offset(4),  Offset() },     // 10
+            { Offset(),         Offset(),   Offset(5)},     // 11
+            { Offset(),         Offset(5),  Offset() },     // 12
+            { Offset(),         Offset(),   Offset(6)},     // 13
+            { Offset(),         Offset(6),  Offset() },     // 14
+            { Offset(),         Offset(),   Offset(7)},     // 15
+            { Offset(),         Offset(7),  Offset() },     // 16
+            { Offset(),         Offset(),   Offset() },     // 17
+            { Offset(),         Offset(),   Offset() },     // 18
+            { Offset(),         Offset(),   Offset() },     // 19
+            { Offset(),         Offset(),   Offset() },     // 20
+            { Offset(),         Offset(),   Offset() },     // 21
+            { Offset(),         Offset(),   Offset() },     // 22
+            { Offset(),         Offset(),   Offset() },     // 23
+            { Offset(),         Offset(),   Offset() },     // 24
+            { Offset(),         Offset(),   Offset() },     // 25
+            { Offset(),         Offset(),   Offset() },     // 26
+            { Offset(),         Offset(),   Offset() },     // 27
+            { Offset(),         Offset(),   Offset() },     // 28
+            { Offset(),         Offset(),   Offset() },     // 29
+            { Offset(),         Offset(),   Offset() },     // 30
+            { Offset(),         Offset(),   Offset() },     // 31
+        };
+
+        int nbr[32][3] = {
+                {  1,  16,  10 },   //  0
+                { 24,   0,   2 },   //  1
+                {  1,   9,   3 },   //  2
+                { 17,   2,  12 },   //  3
+                { 17,  11,   5 },   //  4
+                { 18,   4,  14 },   //  5
+                { 18,  13,   7 },   //  6 
+                { 19,   6,  16 },   //  7
+                { 19,  15,   9 },   //  8
+                { 20,   8,   2 },   //  9
+                { 20,   0,  11 },   // 10
+                { 21,  10,   4 },   // 11
+                { 21,   3,  13 },   // 12
+                { 22,  12,   6 },   // 13
+                { 22,   5,  15 },   // 14
+                { 23,  14,   8 },   // 15
+                { 23,   7,   0 },   // 16
+                { 25,   3,   4 },   // 17
+                { 26,   5,   6 },   // 18
+                { 27,   7,   8 },   // 19
+                { 28,   9,  10 },   // 20
+                { 29,  11,  12 },   // 21
+                { 30,  13,  14 },   // 22
+                { 31,  15,  16 },   // 23
+                { 25,  31,   1 },   // 24
+                { 26,  24,  17 },   // 25
+                { 27,  25,  18 },   // 26
+                { 26,  19,  28 },   // 27
+                { 29,  27,  20 },   // 28
+                { 30,  28,  21 },   // 29
+                { 31,  29,  22 },   // 30
+                { 24,  30,  23 },   // 31
+        };
+
+
+        Vertex_handle vertices[14];
+        for (int i = 0; i < vcount; i++) {
+            vertices[i] = _tds.create_vertex();
+            vertices[i]->set_point(pts[i]);
+            vertices[i]->set_idx(i);
+        }
+
+
+        Face_handle faces[32];
+        for (int i = 0; i < fcount; i++) {
+            int x, y, z;
+            faces[i] = _tds.create_face(vertices[tri[i][0]], vertices[tri[i][1]], vertices[tri[i][2]]);
+            faces[i]->set_number(i);
+        }
+
+
+        // This needs to be done AFTER the faces are created
+        for (int i = 0; i < fcount; i++) {
+            faces[i]->set_neighbors(            faces[nbr[i][0]],   faces[nbr[i][1]],   faces[nbr[i][2]] );
+            faces[i]->set_offsets(              off[i][0],          off[i][1],          off[i][2]        );
+            faces[i]->set_neighbor_face_offsets(noff[i][0],         noff[i][1],         noff[i][2]       );
+        }
+
+
+        vertices[ 0]->set_face(faces[ 0]);
+        vertices[ 1]->set_face(faces[ 2]);
+        vertices[ 2]->set_face(faces[ 4]);
+        vertices[ 3]->set_face(faces[ 6]);
+        vertices[ 4]->set_face(faces[ 8]);
+        vertices[ 5]->set_face(faces[20]);
+        vertices[ 6]->set_face(faces[21]);
+        vertices[ 7]->set_face(faces[22]);
+        vertices[ 8]->set_face(faces[23]);
+        vertices[ 9]->set_face(faces[ 1]);
+        vertices[10]->set_face(faces[17]);
+        vertices[11]->set_face(faces[18]);
+        vertices[12]->set_face(faces[19]);
+        vertices[13]->set_face(faces[28]);
+
+        _tds.set_dimension(2);
+
+        std::vector<Vertex_handle> ret(vcount);
+        for (int i = 0; i < vcount; i++) {
+            ret.push_back(vertices[i]);
+        }
+
+
+        return ret;
+        }
+        
+    } // namespace CGAL
+    
+#endif // CGAL_PERIODIC_4_HYPERBOLIC_TRIANGULATION_DUMMY_14_H
+    

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Qt/TriangulationConflictZone.h

@@ -17,7 +17,7 @@ template <typename DT>
 class TriangulationConflictZone : public GraphicsViewInput
 {
 public:
-  typedef typename DT::Geom_traits K;
+  typedef typename DT::Geometric_traits K;
   typedef typename DT::Face_handle Face_handle;
   typedef typename DT::Point Point;
 

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Qt/TriangulationGraphicsItemWithColorInfo.h

@@ -37,7 +37,7 @@ namespace Qt {
 template <typename T>
 class TriangulationGraphicsItem : public GraphicsItem
 {
-  typedef typename T::Geom_traits Geom_traits;
+  typedef typename T::Geometric_traits Geom_traits;
 public:
   TriangulationGraphicsItem(T* t_);
 
@@ -165,7 +165,7 @@ TriangulationGraphicsItem<T>::drawAll(QPainter *painter)
   //delete
   QPen temp = painter->pen();
   QPen old = temp;
-  temp.setWidthF(0.0035);
+  temp.setWidthF(/*0.0035*/0.0025);
   painter->setPen(temp);
   //
   
@@ -264,19 +264,19 @@ TriangulationGraphicsItem<T>::paintVertices(QPainter *painter)
       double py = to_double(it->point().y());
       double dist = px*px + py*py;
       if(dist > 0.25) {
-        temp.setWidth(7);//6
+        temp.setWidth(6);//6
       }
-      if(dist > 0.64) {
+      if(dist > 0.5) {
-        temp.setWidth(6);//5
+        temp.setWidth(5);//5
       }
-      if(dist > 0.81) {
+      if(dist > 0.7) {
-        temp.setWidth(6);//3
+        temp.setWidth(5);//3
       }
       if(dist > 0.92) {
         temp.setWidth(5);//3
       }
       if(dist > 0.98) {
-        temp.setWidth(3);//3
+        temp.setWidth(1);//3
       }
       painter->setPen(temp);
       

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Qt/TriangulationPointInputAndConflictZone.h

@@ -17,7 +17,7 @@ template <typename DT>
 class TriangulationPointInputAndConflictZone : public GraphicsViewInput
 {
 public:
-  typedef typename DT::Geom_traits K;
+  typedef typename DT::Geometric_traits K;
   typedef typename DT::Face_handle Face_handle;
   typedef typename DT::Point Point;
 

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Qt/VoronoiGraphicsItem.h

@@ -95,14 +95,14 @@ void
 VoronoiGraphicsItem<DT>::paint(QPainter *painter, const QStyleOptionGraphicsItem *option, QWidget * /*w*/)
 {
   QRectF rect = option->exposedRect;
-  PainterOstream<typename DT::Geom_traits> pos(painter, rect);
+  PainterOstream<typename DT::Geometric_traits> pos(painter, rect);
   
   painter->setPen(edgesPen());
   
   // delete
   QPen temp = painter->pen();
   QPen old = temp;
-  temp.setWidthF(0.01);
+  temp.setWidthF(0.005);
   painter->setPen(temp);
   //
   
@@ -111,8 +111,8 @@ VoronoiGraphicsItem<DT>::paint(QPainter *painter, const QStyleOptionGraphicsItem
       eit++){
     CGAL::Object o = dt->dual(eit);
     typename DT::Segment s;
-    typename DT::Geom_traits::Ray_2 r;
+    typename DT::Geometric_traits::Ray_2 r;
-    typename DT::Geom_traits::Line_2 l;
+    typename DT::Geometric_traits::Line_2 l;
     if(CGAL::assign(s,o)){
       pos << s;
     } else if(CGAL::assign(r,o)) {

Periodic_4_hyperbolic_triangulation_2/include/CGAL/Traits_with_hyperbolic_offsets_adaptor.h

@@ -1,96 +0,0 @@
-// Copyright (c) 1999-2004,2006-2009,2014-2015   INRIA Sophia-Antipolis (France).
-// All rights reserved.
-//
-// This file is part of CGAL (www.cgal.org).
-// You can redistribute it and/or modify it under the terms of the GNU
-// General Public License as published by the Free Software Foundation,
-// either version 3 of the License, or (at your option) any later version.
-//
-// Licensees holding a valid commercial license may use this file in
-// accordance with the commercial license agreement provided with the software.
-//
-// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
-// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
-//
-// $URL$
-// $Id$
-//
-//
-// Author(s)     : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
-//                 Sylvain Pion <Sylvain.Pion@sophia.inria.fr>
-//                 Andreas Fabri <Andreas.Fabri@sophia.inria.fr>
-//                 Nico Kruithof <Nico.Kruithof@sophia.inria.fr>
-//                 Manuel Caroli <Manuel.Caroli@sophia.inria.fr>
-//                 Aymeric Pellé <Aymeric.Pelle@sophia.inria.fr>
-#ifndef CGAL_TRAITS_WITH_HYPERBOLIC_OFFSETS_ADAPTOR_H
-#define CGAL_TRAITS_WITH_HYPERBOLIC_OFFSETS_ADAPTOR_H
-
-#include <CGAL/Square_root_2_field.h>
-#include <CGAL/Hyperbolic_octagon_group.h>
-
-
-namespace CGAL {
-
-template < class K, class Functor_ >
-  class Traits_with_hyperbolic_offsets_adaptor {
-  typedef K Kernel;
-  typedef Functor_ Functor;
-
-  typedef typename Kernel::Point_2                        Point;
-  typedef HyperbolicOctagonGroup                          Offset;
-
-public:
-  typedef typename Kernel::Circle_2                       Circle_2;
-  typedef typename Kernel::Construct_hyperbolic_point_2   Construct_hyperbolic_point_2;
-  typedef typename Functor::result_type                   result_type;
-
-  Traits_with_hyperbolic_offsets_adaptor(const Circle_2 * dom) : _domain(dom) { }
-
-  result_type operator()(const Point& p0, const Point& p1,
-      const Offset& o0, const Offset& o1) const {
-    return Functor()(pp(p0,o0),pp(p1,o1));
-  }
-  result_type operator()(const Point& p0, const Point& p1, const Point& p2,
-      const Offset& o0, const Offset& o1, const Offset& o2) const {
-    return Functor()(pp(p0,o0),pp(p1,o1),pp(p2,o2));
-  }
-  result_type operator()(const Point& p0, const Point& p1,
-      const Point& p2, const Point& p3,
-      const Offset& o0, const Offset& o1,
-      const Offset& o2, const Offset& o3) const {
-    return Functor()(pp(p0,o0),pp(p1,o1),pp(p2,o2),pp(p3,o3));
-  }
-  result_type operator()(const Point& p0, const Point& p1,
-      const Point& p2, const Point& p3, const Point& p4,
-      const Offset& o0, const Offset& o1, const Offset& o2,
-      const Offset& o3, const Offset& o4) const {
-    return Functor()(pp(p0,o0),pp(p1,o1),pp(p2,o2),
-	pp(p3,o3),pp(p4,o4));
-  }
-
-  result_type operator()(const Point& p0, const Point& p1) const {
-    return Functor()(p0, p1);
-  }
-  result_type operator()(const Point& p0, const Point& p1,
-      const Point& p2) const {
-    return Functor()(p0, p1, p2);
-  }
-  result_type operator()(const Point& p0, const Point& p1,
-      const Point& p2, const Point& p3) const {
-    return Functor()(p0, p1, p2, p3);
-  }
-  result_type operator()(const Point& p0, const Point& p1,
-      const Point& p2, const Point& p3, const Point& p4) const {
-    return Functor()(p0, p1, p2, p3, p4);
-  }
-
-protected:
-  Point pp(const Point &p, const Offset &o) const {
-    return Construct_point_2(*_domain)(p,o);
-  }
- public:
-  const Circle_2* _domain;
-};
-}  // namespace CGAL
-
-#endif /* CGAL_TRAITS_WITH_HYPERBOLIC_OFFSETS_ADAPTOR_H */

Periodic_4_hyperbolic_triangulation_2/include/CGAL/TranslationInfo.h

@@ -1,81 +0,0 @@
-#ifndef TRANSLATION_INFO
-#define TRANSLATION_INFO
-
-#include <CGAL/Hyperbolic_isometry_2.h>
-
-template<typename String>
-class TranslationInfo
-{
-public:
-  
-  TranslationInfo() : color(0)
-  {
-  }
-  
-  TranslationInfo(const String& name, int new_color = 0)
-    : name_of_translation(name), color(new_color)
-  {
-  }
-  
-  void setString(const String& name)
-  {
-    name_of_translation = name;
-  }
-  
-  const String& toString() const
-  {
-    return name_of_translation;
-  }
-  
-  void setColor(int new_color)
-  {
-    color = new_color;
-  }
-  
-  int getColor() const 
-  {
-    return color;
-  }
-   
-private:
-  String name_of_translation;
-  
-  int color; 
-};
-
-template<typename String>
-TranslationInfo<String> operator + (const TranslationInfo<String>& l, const TranslationInfo<String>& r)
-{
-  TranslationInfo<String> result;
-  result.setString(l.toString() + r.toString());
-  
-  return result;
-}
-
-template<typename Gt, typename Info>
-class IsometryWithInfo : public CGAL::Hyperbolic_isometry_2<Gt>
-{
-public:
-  typedef CGAL::Hyperbolic_isometry_2<Gt> Base;
-  //typedef Base::Point Point;
-  
-  IsometryWithInfo(const Base& base, const Info& new_info = Info()) : Base(base), _info(new_info)
-  {
-  }
-  
-  IsometryWithInfo operator * (const IsometryWithInfo& other) const
-  {
-    Base base = this->Base::operator *(other);
-    Info new_info = info() + other.info();
-    
-    return IsometryWithInfo(base, new_info);
-  }
-  
-  const Info& info() const { return _info; }
-  Info&       info()       { return _info; }
-  
-private:
-  Info _info;
-};
-
-#endif // TRANSLATION_INFO

Periodic_4_hyperbolic_triangulation_2/include/CGAL/unused/GroupOfIndex2.h

@@ -1,208 +0,0 @@
-#ifndef CGAL_GROUP_OF_INDEX_2
-#define CGAL_GROUP_OF_INDEX_2
-
-#include <Translations.h>
-
-template<class Translation>
-class Group_of_index_2
-{
-public:
-  typedef Element<Translation> Element_t;
-  typedef typename Translation::FT FT;
-  
-  typedef std::list<Element_t> List;
-  typedef CGAL::Circulator_from_container<List> Circulator;
-  typedef typename List::iterator List_iterator;
-  typedef typename List::size_type Size_type;
-  
-  typedef std::pair<Translation, int> Node;
-  typedef std::vector<Node> Vector;
-  
-  Group_of_index_2() : is_computed(false), l(&Translations<typename Translation::Geom_traits>::list())  
-  {
-  }
-  
-  void add_group(List* l_)
-  {
-    l = l_;
-    
-    generate();
-  }
-  
-  List& list()
-  {
-    return l2;
-  }
-  
-  const List& list() const
-  {
-    return l2;
-  }
-  
-  /*
-  template<class OutputIterator>
-  OutputIterator group_of_index_2(OutputIterator oit) const
-  {
-    return std::copy(g2.begin(), g2.end(), oit);
-  }*/
-  
-  void generate()
-  {
-    if(!is_computed) {
-      compute();
-      refine();
-      
-      is_computed = true;
-    }
-  }
-  
-  List_iterator begin()
-  {
-    return l2.begin();
-  }
-  
-  List_iterator end() 
-  {
-    return l2.end();
-  }
-  
-  Size_type number_of_elements() const
-  {
-    return l2.size();
-  }
-  
-private:
-  // the lists can not be copied.
-  Group_of_index_2(const Group_of_index_2&);
-  Group_of_index_2& operator= (const Group_of_index_2&) const;
-  
-  bool is_computed;
-  void compute();
-  void compute_via_vector();
-  
-  void refine(FT e = 0.000001);
-  
-  List* l;
-  List l2;
-  Vector g;
-  Vector g2;
-};
-
-
-template<class Translation>
-void Group_of_index_2<Translation>::refine(FT e)
-{
-  typedef typename Translation::Geom_traits Gt;
-  typedef typename Translation::complex complex;
-  
-  Circulator begin(&l2);
-  Circulator next = boost::next(begin);
-  
-  if(begin == 0 || begin == next) {
-    return;
-  }
-  
-  int steps_nb = l2.size();
-  
-  for(int i = 0; i < steps_nb; i++, begin = next, next = boost::next(begin)) {
-    complex dif_m = begin->g.m() - next->g.m();
-    complex dif_n = begin->g.n() - next->g.n();
-    
-    if(std::norm(dif_m) < e && std::norm(dif_n) < e) {
-      l2.erase(begin->inverse.current_iterator());
-      l2.erase(begin.current_iterator());
-      
-      steps_nb--;
-    }
-  }
-}
-
-template<class Translation>
-void Group_of_index_2<Translation>::compute_via_vector()
-{
-  int nb = g.size();
-  g2.resize(2*nb);
-  
-  for(int i = 0; i < nb; i++) {
-    int inv = g[i].second;
-    int next_inv = (inv + 1) & nb-1;
-    int prev_inv = (inv - 1) & nb-1;
-    
-    g2[2*i].first = g[i].first*g[next_inv].first;
-    // compute position of the inverse element of g2[2*i]
-    int inv_pos = g[next_inv].second;
-    g2[2*i].second = 2*inv_pos + 1;
-    
-    g2[2*i + 1].first = g[i].first*g[prev_inv].first;
-    // compute position of the inverse element of g2[2*i + 1]
-    inv_pos = g[prev_inv].second;
-    g2[2*i + 1].second = 2*inv_pos;
-  }
-}
-
-
-template<class Translation>
-void Group_of_index_2<Translation>::compute()
-{
-  typedef std::map<Element_t*, std::pair<Circulator, Circulator> > MapLtoL2;
-  MapLtoL2 l_to_l2;
-  typedef typename MapLtoL2::iterator Map_it;
-  
-  l2.resize(2*l->size());
-  
-  Circulator li(l);
-  Circulator Next, Prev;
-  Circulator l2i(&l2);
-
-  if(li == 0) {
-    return;
-  }
-  
-  // add g
-  
-  do {
-    Circulator item1 = l2i, item2 = boost::next(l2i);
-    
-    Next = li->inverse;
-    Next = boost::next(Next);
-    item1->g = li->g * Next->g;  
-    
-    // aux value
-    item1->inverse = Next->inverse;
-    
-    Prev = li->inverse;
-    Prev = boost::prior(Prev);
-    item2->g = li->g * Prev->g;
-    
-    // aux value
-    item2->inverse = Prev->inverse;
-    
-    l_to_l2.insert(std::make_pair(&*li, std::make_pair(item1, item2)));
-    
-    li = boost::next(li);
-    l2i = boost::next(l2i, 2);
-  } while( li != Circulator( l ) );
-  
-  // add inverse
-  
-  int i = 0;
-  l2i = Circulator(&l2);
-  do {  
-    Map_it mit = l_to_l2.find(&*l2i->inverse);
-    
-    assert(mit != l_to_l2.end());
-    std::pair<Circulator, Circulator> val = mit->second;
-    
-    if(i % 2 == 0) {
-      l2i->inverse = val.second;
-    } else {
-      l2i->inverse = val.first;
-    }
-    
-    l2i++;
-    i++;
-  } while( l2i != Circulator( &l2 ) );
-}
-
-#endif // CGAL_GROUP_OF_INDEX_2
-

Periodic_4_hyperbolic_triangulation_2/include/CGAL/unused/Hyperbolic_random_points_in_disc_2.h

@@ -1,86 +0,0 @@
-#ifndef HYPERBOLIC_RANDOM_POINTS_IN_DISC_2
-#define HYPERBOLIC_RANDOM_POINTS_IN_DISC_2
-
-#include <boost/math/special_functions/acosh.hpp>
-
-#include <CGAL/Random.h>
-#include <CGAL/point_generators_2.h>
-
-// Euclidean radius vector to hyperbolic raidus vector
-template<class FT>
-FT r_h(FT r_e)
-{
-  return boost::math::acosh((1 + r_e*r_e)/(1 - r_e*r_e));
-}
-
-// hyperbolic raidus vector to Euclidean radius vector
-template<class FT>
-FT r_e(FT r_h)
-{
-  FT dist = std::tanh(r_h/FT(2));
-  
-  if(dist > 0) {
-    return dist;
-  }
-  return -dist;
-}
-
-// if seed = -1, then the seed will get a random value.
-template<class Gt>
-void Hyperbolic_random_points_in_disc_2(std::vector<typename Gt::Point_2>& output, int nb, int seed = 1, typename Gt::FT e = 0.0001)
-{
-  typedef typename Gt::FT FT;
-  typedef typename Gt::Point_2 Point_2;
-  typedef typename Gt::Vector_2 Vector_2;
-  
-  FT re = FT(1) - e;
-  FT rh = r_h(re);
-  
-  typedef CGAL::Creator_uniform_2<FT, Point_2> Creator;
-  
-  CGAL::Random rand;
-  if (seed != -1) {
-    rand = CGAL::Random(seed);
-  }
-  /*CGAL::Random_points_in_disc_2<Point_2, Creator> in_Euclidean_disk(rh, rand);*/
-  
-  CGAL::Random_points_in_disc_2<Point_2, Creator> in_Euclidean_disk(rh);
-
-  std::vector<Point_2> pts;
-  pts.reserve(nb);
-  for(int i = 0; i < nb ; i++) {
-    pts.push_back(*in_Euclidean_disk);
-    in_Euclidean_disk++;
-  }
-  
-  for(int i = 0; i < nb ; i++) {
-    Vector_2 v = Vector_2(Point_2(0, 0), pts[i]);
-    
-    FT sq_dist = v.squared_length();
-    FT dist = CGAL::sqrt(sq_dist);
-    
-    FT dist_in_disc = r_e(dist);
-    
-    output.push_back(Point_2((pts[i].x()*dist_in_disc)/dist, (pts[i].y()*dist_in_disc)/dist));
-  }
-}
-
-template<class Gt>
-void Random_points_in_disc_2(std::vector<typename Gt::Point_2>& output, int nb, int seed = 1, typename Gt::FT e = 0.0001)
-{
-  typedef typename Gt::FT FT;
-  typedef typename Gt::Point_2 Point_2;
-  
-  FT re = FT(1) - e;
-  
-  typedef CGAL::Creator_uniform_2<FT, Point_2> Creator;
-  CGAL::Random rand(seed);
-  CGAL::Random_points_in_disc_2<Point_2, Creator> in_Euclidean_disk(re, rand);
-  
-  for(int i = 0; i < nb ; i++) {
-    output.push_back(*in_Euclidean_disk);
-    in_Euclidean_disk++;
-  }
-}
-
-#endif // HYPERBOLIC_RANDOM_POINTS_IN_DISC_2

Periodic_4_hyperbolic_triangulation_2/include/CGAL/unused/Translations.h

@@ -1,183 +0,0 @@
-#ifndef CGAL_HYPERBOLIC_TRANSLATIONS_2_H
-#define CGAL_HYPERBOLIC_TRANSLATIONS_2_H
-
-#include <CGAL/Hyperbolic_isometry_2.h>
-
-template<typename Translation>
-struct Element
-{
-  typedef typename std::list<Element> List;
-  typedef CGAL::Circulator_from_container<List> Circulator;
-  
-  Translation g;
-  
-  // circulator iterator to an inverse translation in the list
-  Circulator inverse;
-};
-
-template<typename Gt>
-class Translations
-{
-public:
-  typedef typename Gt::FT FT;
-  typedef typename std::complex<FT> complex;
-  typedef CGAL::Hyperbolic_isometry_2<Gt> Hyperbolic_isometry;
-  
-  typedef Element<Hyperbolic_isometry> Element_t;
-  typedef std::list<Element_t> List;
-  typedef typename List::iterator List_iterator;
-  typedef CGAL::Circulator_from_container<List> Circulator;
-  
-  typedef std::pair<Hyperbolic_isometry, int> Node;
-  typedef std::vector<Node> Vector;
-  typedef typename Vector::iterator Vector_iterator;
-  
-  
-  static Hyperbolic_isometry& a()
-  {
-    compute();
-    return g[0].first;
-  }
-  
-  static Hyperbolic_isometry& b()
-  {
-    compute();
-    return g[1].first;
-  }
-  
-  static Hyperbolic_isometry& c()
-  {
-    compute();
-    return g[5].first;
-  }
-  
-  static Hyperbolic_isometry& d()
-  {
-    compute();
-    return g[6].first;
-  }
-  
-  static const Vector& get_vector_of_translations()
-  {
-    compute();
-    return g; 
-  }
-  
-  static Vector_iterator vector_begin()
-  {
-    compute();
-    return g.begin();
-  }
-  
-  static Vector_iterator vector_end()
-  {
-    compute();
-    return g.end();
-  }
-  
-  static List_iterator list_begin()
-  {
-    compute();
-    return l.begin();
-  }
-  
-  static List_iterator list_end()
-  {
-    compute();
-    return l.end();
-  }
-  
-  static List& list()
-  {
-    compute();
-    return l;
-  }
-    
-private:
-  
-  static void compute_g()
-  {
-    const FT k1 = (FT(2) + CGAL::sqrt(2.))/FT(2);
-    const FT k2 = CGAL::sqrt(CGAL::sqrt(2.));
-    const FT k3 = (CGAL::sqrt(2.)*k2)/FT(2);
-    
-    std::complex<FT> m(k1, k1);
-    std::complex<FT> n(k2*k1, -k3);
-    
-    g.resize(8);
-    
-    // a
-    g[0].first = Hyperbolic_isometry(conj(m), conj(n));
-    g[0].second = 2;
-    
-    // b
-    g[3].first = Hyperbolic_isometry(m, -n);
-    g[3].second = 1;
-    // c
-    g[4].first = Hyperbolic_isometry(conj(m), -conj(n));
-    g[4].second = 6;
-    // d
-    g[7].first = Hyperbolic_isometry(m, n);
-    g[7].second = 5;
-    
-    int index = g[0].second;
-    g[index].first = g[0].first.inverse();
-    g[index].second = 0;
-    
-    index = g[3].second;
-    g[index].first = g[3].first.inverse();
-    g[index].second = 3;
-    
-    index = g[4].second;
-    g[index].first = g[4].first.inverse();
-    g[index].second = 4;
-    
-    index = g[7].second;
-    g[index].first = g[7].first.inverse();
-    g[index].second = 7;
-  }
-  
-  
-  static void compute_l()
-  {
-    l.resize(g.size());
-    
-    std::vector<Circulator> aux_list;
-    aux_list.reserve(8);
-    
-    for(List_iterator li = l.begin(); li != l.end(); li++) {
-      aux_list.push_back( Circulator(&l, li) );
-    }
-    
-    for(typename List::size_type i = 0; i < aux_list.size(); i++) {
-      aux_list[i]->g = g[i].first;
-      aux_list[i]->inverse = aux_list[g[i].second];
-    }
-  }
-  
-  static void compute()
-  {
-    static bool computed = false;
-    if(!computed) {
-      compute_g();
-      compute_l();
-      computed = true;
-    }
-  }
-  
-  static Vector g;
-  
-  static List l;
-};
-
-// default initialization
-
-template<typename Gt>
-typename Translations<Gt>::Vector
-Translations<Gt>::g;
-
-template<typename Gt>
-typename Translations<Gt>::List
-Translations<Gt>::l;
- 
-#endif // CGAL_HYPERBOLIC_TRANSLATIONS_2_H

Periodic_4_hyperbolic_triangulation_2/include/CGAL/unused/temp.h

@@ -1,729 +0,0 @@
-// to compile with boost headers
-// g++ main.cpp -I /opt/local/include -o main
-
-#include <complex>
-#include <iostream>
-#include <vector>
-#include <iterator>
-#include <map>
-#include <set>
-#include <assert.h>
-//#include <unordered_set>
-#include <string>
-#include <fstream>
-
-//#include <boost/optional.hpp>
-
-using namespace std;
-
-template<class Int>
-class Sqrt_field 
-{
-public:
-  typedef Int Integer;
-
-  Int l;
-  Int r;
-
-public:
-  Sqrt_field(Int l_ = 0, Int r_ = 0) : l(l_), r(r_) {}
-  
-  Sqrt_field operator + (const Sqrt_field& rh) const
-  {
-    Sqrt_field temp = *this;
-    temp += rh;
-
-    return temp;
-  } 
-
-  Sqrt_field& operator += (const Sqrt_field& rh)
-  {
-    l += rh.l;
-    r += rh.r;
-    return *this;
-  }
-  
-  Sqrt_field& operator -= (const Sqrt_field& rh)
-  {
-    l -= rh.l;
-    r -= rh.r;
-    return *this;
-  }
-
-  Sqrt_field operator - (const Sqrt_field& rh) const
-  {
-    return Sqrt_field( l - rh.l, r - rh.r );
-  }
-
-  Sqrt_field operator - () const
-  {
-    return Sqrt_field(-l, -r);
-  }
-
-  Sqrt_field operator * (const Sqrt_field& rh) const
-  {
-    Sqrt_field temp = *this;
-    temp *= rh;
-
-    return temp;
-  }
-
-  Sqrt_field& operator *= (const Sqrt_field& rh)
-  {
-    Int l1 = l * rh.l + 2*r*rh.r;
-    Int r1 = r*rh.l + l*rh.r;
-    l = l1;
-    r = r1;
-
-    return *this; 
-  }
-
-  Sqrt_field abs() const
-  {
-    if (l >= 0 && r >= 0) {
-      return *this;
-    }
-
-    if (l <= 0 && r <= 0) {
-      return Sqrt_field(-l, -r); 
-    }
-  
-    if(l*l*l - 2*r*r*l >= 0) {
-      return *this;
-    }
-    return Sqrt_field(-l, -r);
-  }
-};
-
-template<class Int>
-bool operator < (const Sqrt_field<Int>& lh, const Sqrt_field<Int>& rh)
-{
-  if( (lh.l - rh.l)*(lh.l - rh.l) > 2*(rh.r - lh.r)*(rh.r - lh.r) ) {
-    if ((lh.l - rh.l) < 0) {
-      return true;
-    }
-  }
-  
-  if( (lh.l - rh.l)*(lh.l - rh.l) < 2*(rh.r - lh.r)*(rh.r - lh.r) ) {
-    if ((rh.r - lh.r) >= 0) {
-      return true;
-    }
-  }
-  return false;
-  
-  /*
-  if (lh.l < rh.l) {
-    return true;
-  }
-  
-  if (lh.l == rh.l) {
-    if (lh.r < rh.r) {
-      return true;
-    }
-  }*/
-  
-  return false;
-}
-/*Seems correct!
-template<class Int>
-bool operator > (const Sqrt_field<Int>& lh, const Sqrt_field<Int>& rh)
-{
-  if( (lh.l - rh.l)*(lh.l - rh.l) > 2*(rh.r - lh.r)*(rh.r - lh.r) ) {
-    if ((lh.l - rh.l) >= 0 && (rh.r - lh.r) >= 0) {
-      return true;
-    }
-  }
-  
-  if( (lh.l - rh.l)*(lh.l - rh.l) < 2*(rh.r - lh.r)*(rh.r - lh.r) ) {
-    if ((lh.l - rh.l) <= 0 && (rh.r - lh.r) <= 0) {
-      return true;
-    }
-  }
-  return false;
-}*/
-
-template<class Int>
-bool operator >= (const Sqrt_field<Int>& lh, const Sqrt_field<Int>& rh)
-{
-  if( (lh.l - rh.l)*(lh.l - rh.l) >= 2*(rh.r - lh.r)*(rh.r - lh.r) ) {
-    if ((lh.l - rh.l) >= 0) {
-      return true;
-    }
-  }
-  
-  if( (lh.l - rh.l)*(lh.l - rh.l) < 2*(rh.r - lh.r)*(rh.r - lh.r) ) {
-    if ((rh.r - lh.r) < 0) {
-      return true;
-    }
-  }
-  return false;
-}
-
-template<class Int>
-bool operator == (const Sqrt_field<Int>& lh, const Sqrt_field<Int>& rh)
-{
-  return (lh.l == rh.l && lh.r == rh.r);
-}
-
-template<class Int>
-bool operator != (const Sqrt_field<Int>& lh, const Sqrt_field<Int>& rh)
-{
-  return !(lh == rh);
-}
-
-template<class Int>
-Sqrt_field<Int> operator * (const Int& val, const Sqrt_field<Int>& rh)
-{
-  Sqrt_field<Int> temp = rh;
-  temp.l *= val;
-  temp.r *= val;
-
-  return temp;
-} 
-
-template<class Int>
-ostream& operator<<(ostream& os, const Sqrt_field<Int>& nb)
-{
-  os << nb.l << " " << nb.r;
-  return os;
-}
-
-// begin MT - added to please libc++
-template<class Int>
-bool isnan(const Sqrt_field<Int>& x)
-{
-  return false; // MT TBD
-}
-
-template<class Int>
-bool isinf(const Sqrt_field<Int>& x)
-{
-  return false; // MT TBD
-}
-
-template<class Int>
-Sqrt_field<Int> copysign(const Sqrt_field<Int>& x, const Sqrt_field<Int>& y)
-{
-  if (y.abs()==y)
-    { return x;}
-  return -x;
-}
-// end MT - added to please libc++
-
-template<class Sqrt_field>
-class Octagon_matrix
-{
-public:
-  typedef Octagon_matrix<Sqrt_field> Self;  
-  typedef complex<Sqrt_field> Extended_field;
-
-  Extended_field M11;
-  Extended_field M12;
-  string label;  
-
-  Octagon_matrix(const Extended_field& M11_, const Extended_field& M12_, 
-    const string& label_ = string("") ) :
-    M11(M11_), M12(M12_), label(label_) {}
-
-  string merge_labels(const Self& rh) const
-  {
-    return label + "*" + rh.label;
-  }
-
-  Self operator*(const Self& rh) const
-  {
-    return Self( M11*rh.M11 + aux*M12*conj(rh.M12), 
-      M11*rh.M12 + M12*conj(rh.M11), merge_labels(rh) );
-  }
-  
-  Self inverse() const
-  {
-    Self inv = Self(conj(M11), -M12);
-    string inv_label;
-    for(long i = label.size() - 1; i >= 0; i--) {
-      if(label[i] >= 'a' && label[i] <= 'd') {
-        inv_label.push_back(label[i]);
-        inv_label.push_back('^');
-        inv_label.push_back('-');
-        inv_label.push_back('1');
-      }
-      if(label[i] == '*') {
-        inv_label.push_back('*');
-      }
-      if(label[i] == '1') {
-        assert(i - 3 >= 0);
-        assert(label[i - 3] >= 'a' && label[i - 3] <= 'd');
-        inv_label.push_back(label[i - 3]);
-        i = i - 3;
-      }
-    }
-    inv.label = inv_label;
-    return inv;
-  }
-
-  // rotation \pi/4
-  Octagon_matrix rotate() const
-  {
-    Sqrt_field B1 = real(M12);
-    Sqrt_field B2 = imag(M12);
-    
-    // sqrt(2)
-    Sqrt_field k = Sqrt_field(0, 1);
-    
-    Sqrt_field BB1 = (B1 - B2)*k;
-    Sqrt_field BB2 = (B1 + B2)*k;
-
-    assert(BB2.l % 2 == 0 && BB2.r % 2 == 0);
-    BB1.l = BB1.l/2;
-    BB1.r = BB1.r/2;
-    BB2.l = BB2.l/2;
-    BB2.r = BB2.r/2;
-
-    return Octagon_matrix(M11, Extended_field(BB1, BB2)); 
-  }
-
-  Sqrt_field trace() const 
-  {
-    return Sqrt_field(2, 0)*real(M11);
-  }
-
-  double length() const
-  {
-    typedef long double ld;
-
-    ld l = real(M11).l;
-    ld r = real(M11).r;
-    ld tr = l + sqrt(2.)*r;
-    if (tr < 0) {
-      tr = -tr;
-    }
-
-    return 2.*acosh(tr);
-  }
-
-  // determinant == 1
-  Extended_field det() const
-  {
-    return norm(M11) - aux * norm(M12);
-  }
-  
-  static complex<double> toComplexDouble(Extended_field M) //const
-  {
-    Sqrt_field rl = real(M);
-    Sqrt_field img = imag(M);
-    
-    return complex<double>(rl.l + sqrt(2.)*rl.r, img.l + sqrt(2.)*img.r);
-  }
-
-  pair<double, double> apply(double x, double y)
-  {
-    typedef complex<double> Cmpl;
-    Cmpl m11 = toComplexDouble(M11);
-    Cmpl m12 = toComplexDouble(M12);
-
-    double ax = sqrt(aux.l + sqrt(2.)*aux.r);
-    
-    Cmpl z(x, y);
-    Cmpl res = (m11*z + ax*m12)/(ax*(conj(m12)*z) + conj(m11));
-    return pair<double, double>(real(res), imag(res)); 
-  }
-
-//private:
-  static Sqrt_field aux;
-};
-
-
-template<class Sqrt_field>
-Sqrt_field Octagon_matrix<Sqrt_field>::aux = Sqrt_field(-1, 1);
-
-// just to give an order(ing)
-template<class Int>
-bool operator < (const complex<Sqrt_field<Int> >& lh,
-  const complex<Sqrt_field<Int> >& rh)
-{
-  if (real(lh) < real(rh)) {
-    return true;
-  }
-
-  if (real(lh) == real(rh)) {
-    if (imag(lh) < imag(rh)) {
-      return true;
-    }
-  }
-
-  return false;   
-}
-
-// just to order octagon_matrices 
-template<class Sqrt_field>
-bool operator < (const Octagon_matrix<Sqrt_field>& lh, 
-  const Octagon_matrix<Sqrt_field>& rh)
-{
-  if (lh.M11 < rh.M11) {
-    return true;
-  }
-  
-  if (lh.M11 == rh.M11 ) {
-    if (lh.M12 < rh.M12) {
-      return true;
-    }
-  }
-
-  return false;
-}
-
-template<class Sqrt_field>
-bool operator == (const Octagon_matrix<Sqrt_field>& lh, 
-  const Octagon_matrix<Sqrt_field>& rh)
-{
-  return (lh.M11 == rh.M11 && lh.M12 == rh.M12);
-}
-
-template<class Sqrt_field>
-ostream& operator<<(ostream& os, const Octagon_matrix<Sqrt_field>& m)
-{
-  os << m.M11 << " " << m.M12;
-  return os;
-}
-
-typedef long long ll;
-typedef Sqrt_field<ll> SqrtField;
-typedef Octagon_matrix<SqrtField> OctagonMatrix;
-typedef OctagonMatrix::Extended_field Entry;
-
-void get_generators(vector<OctagonMatrix>& gens)
-{
-  Entry M11 = Entry(SqrtField(1, 1), SqrtField(0, 0));
-
-  vector<Entry> M12(8, Entry(SqrtField(0, 0), SqrtField(0, 0)));
-  M12[0] = M11 * Entry(SqrtField(0, 1), SqrtField(0, 0));
-  M12[1] = M11 * Entry(SqrtField(1, 0), SqrtField(1, 0));
-  M12[2] = M11 * Entry(SqrtField(0, 0), SqrtField(0, 1));
-  M12[3] = M11 * Entry(SqrtField(-1, 0), SqrtField(1, 0));
-  M12[4] = M11 * Entry(SqrtField(0, -1), SqrtField(0, 0));
-  M12[5] = M11 * Entry(SqrtField(-1, 0), SqrtField(-1, 0));
-  M12[6] = M11 * Entry(SqrtField(0, 0), SqrtField(0, -1));
-  M12[7] = M11 * Entry(SqrtField(1, 0), SqrtField(-1, 0));
-
-  string labels[8] = {string("a"), string("b^-1"), string("c"), string("d^-1"),
-    string("a^-1"), string("b"), string("c^-1"), string("d")};
-  for(int i = 0; i < 8; i++) {
-    gens.push_back(OctagonMatrix(M11, M12[i], labels[i]));
-  }
-}
-
-// a, b, c, d, a^-1, b^-1, c^-1, d^-1
-vector<OctagonMatrix> gens;
-
-bool IsCanonical(const OctagonMatrix& m);
-
-void generate_words( set<OctagonMatrix>& words, vector<OctagonMatrix>& prev, int depth  )
-{
-  if (depth == 1) {
-    for(int i = 0; i < 8; i++) {
-      words.insert( gens[i] );
-      prev.push_back( gens[i] );
-    }
-    return;
-  }
-
-  vector<OctagonMatrix> els;
-  generate_words( words, els, depth - 1);
-  
-  OctagonMatrix temp = OctagonMatrix(Entry(), Entry());
-  ll size = els.size();
-  bool is_new = false;
-  for(ll k = 0; k < size; k++) {
-    for(int i = 0; i < 8; i++) {
-      temp = els[k]*gens[i];
-
-      if(temp.length() > 15.) {
-        continue;
-      }     
-
-      is_new = words.insert(temp).second;
-      if(is_new == true) {
-        prev.push_back(temp);
-      }
-    }
-  }
-}
-
-// does the axis of a given matrix go through the fundamental octagon 
-bool IsCanonical(const OctagonMatrix& m)
-{
-  OctagonMatrix temp = m;
-  
-  // rotate while |B1| < |B2|
-  SqrtField B1, B2;
-  SqrtField C = SqrtField(-1, -1);
-  for(int i = 0; i < 8 && C != C.abs(); i++) {
-    B1 = real(temp.M12).abs();
-    B2 = imag(temp.M12).abs();
-    C = B1 - B2;
-    
-    temp = temp.rotate();
-  }
-  assert(C == C.abs());
-
-  // (2 - sqrt(2))(|B1| + (sqrt(2) -  1)|B2|)
-  SqrtField right = SqrtField(2, -1)*(B1 + SqrtField(-1, 1)*B2);
-  
-  // |A2|
-  SqrtField left = imag(temp.M11).abs();
- 
-  // left <= right -> true
-  C = right - left;
-  return C == C.abs();
-}
-
-void dfs(const OctagonMatrix& m, set<OctagonMatrix>& visited)
-{
-  assert(IsCanonical(m));
-  visited.insert(m);
-
-  OctagonMatrix candidate = m;
-  for(int i = 0; i < 8; i++) {
-    candidate = gens[i]*m*gens[(i + 4) % 8];
-    if(IsCanonical(candidate) == true && visited.find(candidate) == visited.end()) {
-      dfs(candidate, visited);
-    } 
-  }
-}
-
-// map<OctagonMatrix m, OctagonMatrix Aux>, m = Aux * origin * Aux^{-1} 
-void dfs_with_info(const pair<OctagonMatrix, OctagonMatrix>& new_pair, 
-                         map <OctagonMatrix, OctagonMatrix>& visited)
-{
-  assert(IsCanonical(new_pair.first));  
-  visited.insert(new_pair);
-  
-  const OctagonMatrix& current = new_pair.first;
-  const OctagonMatrix& current_aux = new_pair.second;
-  OctagonMatrix candidate = current, candidate_aux = current_aux;
-  for(int i = 0; i < 8; i++) {
-    candidate = gens[i]*current*gens[(i + 4) % 8];
-    if(IsCanonical(candidate) == true && visited.find(candidate) == visited.end()) {
-      candidate_aux = gens[i]*current_aux;
-      dfs_with_info(pair<OctagonMatrix, OctagonMatrix>(candidate, candidate_aux), visited);
-    } 
-  }
-}
-
-
-void dfs_with_info(const               OctagonMatrix& origin,
-                   map<OctagonMatrix, OctagonMatrix>& visited)
-{
-  assert(IsCanonical(origin));
-  OctagonMatrix id = OctagonMatrix(Entry(SqrtField(1, 0), SqrtField(0, 0)), 
-                                   Entry(SqrtField(0, 0), SqrtField(0, 0)));
-  pair<OctagonMatrix, OctagonMatrix> new_pair(origin, id);
-  
-  dfs_with_info(new_pair, visited);
-}
-
-
-class IntersectionNumber
-{
-public:
-
-struct Point
-{
-  Point(double x_ = 0, double y_ = 0) : x(x_), y(y_) {}
-  
-  double x, y;
-};
-  
-OctagonMatrix m;
-
-IntersectionNumber(const OctagonMatrix& m_) : m(m_)
-{}
-  
-long operator() () const
-{
-  set<OctagonMatrix> visited;
-  set<OctagonMatrix>::iterator it, it2;
-  map<long, long> nb_map;
-  map<long, long>::iterator mit;
-  
-  dfs(m, visited);
-  
-  set<pair< OctagonMatrix, OctagonMatrix> > common;
-  for(it = visited.begin(); it != visited.end(); ++it) {
-    for(it2 = it; it2 != visited.end(); ++it2) {
-      if(*it == *it2) {
-        continue;
-      }
-      if(haveIntersection(*it, *it2) == true) {
-        common.clear();
-        count_nb(*it, *it2, common);
-        
-        mit = nb_map.find(common.size());
-        if(mit != nb_map.end()) {
-          mit->second += 1;
-        } else {
-          nb_map.insert(pair<long, long>(common.size(), 1));
-        }
-      }
-    }
-  }
-  
-  long nb = 0;
-  for(mit = nb_map.begin(); mit != nb_map.end(); mit++) {
-    assert( mit->second % mit->first == 0 ); 
-    nb += mit->second/mit->first;
-  }
-  return nb;
-}
-  
-  
-void count_nb(const OctagonMatrix& m1, const OctagonMatrix& m2, set<pair< OctagonMatrix, OctagonMatrix> >& visited) const
-{
-  typedef pair<OctagonMatrix, OctagonMatrix> matrix_pair;
-  visited.insert(matrix_pair(m1, m2));
-  
-  OctagonMatrix c1 = m1, c2 = m2;
-  for(int i = 0; i < 8; i++) {
-    c1 = gens[i]*m1*gens[(i + 4) % 8];
-    c2 = gens[i]*m2*gens[(i + 4) % 8];
-    if(IsCanonical(c1) == true && IsCanonical(c2) == true && visited.find(matrix_pair(c1, c2)) == visited.end()) {
-      count_nb(c1, c2, visited);
-    } 
-  }
-}
-    
-//private:
-
-// check whether two axis have intersection
-bool haveIntersection(const OctagonMatrix& m1, const OctagonMatrix& m2) const
-{
-  Point p1, p2;
-  intersectWithInfinity(m1, p1, p2);
-  
-  Point p3, p4;
-  intersectWithInfinity(m2, p3, p4);
-  
-  // orientation test
-  double sign1 = (p1.x - p3.x)*(p2.y - p3.y) - (p1.y - p3.y)*(p2.x - p3.x);
-  double sign2 = (p1.x - p4.x)*(p2.y - p4.y) - (p1.y - p4.y)*(p2.x - p4.x);
-  
-  assert( sign1 * sign2 != 0);
-  return (sign1 * sign2 < 0);
-}
-  
-void intersectWithInfinity(const OctagonMatrix& m, Point& p1, Point& p2) const
-{
-  Entry a = m.M11, b = m.M12, aux = m.aux;
-  
-  Entry four = Entry(SqrtField(4, 0), SqrtField(0, 0));
-  Entry two = Entry(SqrtField(2, 0), SqrtField(0, 0));
-  
-  Entry D = (a - conj(a))*(a - conj(a));
-  D += four*b*conj(b)*aux;
-  Entry T1 = conj(a) - a;
-  Entry T2 = two*conj(b);
-  
-  complex<double> d = m.toComplexDouble(D);
-  complex<double> t1 = m.toComplexDouble(T1);
-  complex<double> t2 = m.toComplexDouble(T2);
-  complex<double> au = complex<double>(m.aux.l + sqrt(2.)*m.aux.r, 0);
-  
-  complex<double> z1 = (t1 + sqrt(d))/(t2*sqrt(au));
-  complex<double> z2 = (t1 - sqrt(d))/(t2*sqrt(au));
-  
-  p1 = Point(real(z1), imag(z1));
-  p2 = Point(real(z2), imag(z2));
-  
-  assert(p1.x*p1.x + p1.y*p1.y > 0.99 && p1.x*p1.x + p1.y*p1.y < 1.01);
-  assert(p2.x*p2.x + p2.y*p2.y > 0.99 && p2.x*p2.x + p2.y*p2.y < 1.01);
-}
-
-  
-};
-
-void Delete(const set<OctagonMatrix>& canonical_set, vector<OctagonMatrix>& output)
-{
-  set<OctagonMatrix> redundant;
-
-  set<OctagonMatrix>::iterator it;
-  for(it = canonical_set.begin(); it != canonical_set.end(); ++it) {
-    if(redundant.find(*it) != redundant.end()) { 
-      continue;
-    }
-  
-    set<OctagonMatrix> visited;
-    dfs(*it, visited);
-    visited.erase(*it);
-    
-    redundant.insert(visited.begin(), visited.end());    
-    output.push_back(*it);
-  }
-}
-
-void generate_unique_words(vector<OctagonMatrix>& output, double threshold = 10, int word_length = 13)
-{
-  get_generators(gens);
-  
-  set<OctagonMatrix> unique_words;
-  vector<OctagonMatrix> temp;
-  generate_words(unique_words, temp, word_length);
-  
-  double l = 0;
-  set<OctagonMatrix>::iterator uit;
-  for(uit = unique_words.begin(); uit != unique_words.end(); ++uit) {
-    l = uit->length();
-    if(0. < l && l < threshold) {
-      output.push_back( *uit );
-    }
-  }
-  
-  cout << "nb of unique words " << output.size() << endl;
-}
-
-// words that correspond to union of 1-cycles
-void generate_words_union_1_cycles(vector<OctagonMatrix>& out)
-{
-  if(gens.size() == 0) {
-    get_generators(gens);
-  }
-  OctagonMatrix f[4] = {gens[0], gens[5], gens[2], gens[7]};
-  
-  OctagonMatrix F[8] = {
-    f[0]*f[0].inverse(),
-    f[0],
-    f[0]*f[1],
-    f[0]*f[1]*f[2],
-    f[0]*f[1]*f[2]*f[3],
-    f[3]*f[2]*f[1],
-    f[3]*f[2],
-    f[3]
-  };
-  
-  long counter = 0;
-  for(int i = 1; i < 5; i++) {
-    for(int j = 0; j < 8; j++) {
-      for(int k = 0; k < 8; k++) {
-        if (j == k) {
-          continue;
-        }
-        // intersection
-        if ((0 < j && j < i) && (i < k)) {
-          continue;
-        }
-        if ((0 < k && k < i) && (i < j)) {
-          continue;
-        }
-        counter++;
-        
-        OctagonMatrix Tr = F[i]*F[k].inverse()*F[j];
-        // check that Tr != Id
-        if(Tr.length() > 2.) {
-          out.push_back(Tr);
-        }
-      }
-    }
-  }
-  cout << counter << endl;
-  
-}
-

Periodic_4_hyperbolic_triangulation_2/test/Periodic_4_hyperbolic_triangulation_2/CMakeLists.txt

@@ -0,0 +1,26 @@
+# Created by the script cgal_create_cmake_script
+# This is the CMake script for compiling a CGAL application.
+
+
+project( Periodic_4_hyperbolic_triangulation_2_test )
+
+cmake_minimum_required(VERSION 2.8.10)
+
+find_package(CGAL QUIET COMPONENTS Core )
+
+if ( CGAL_FOUND )
+
+  include( ${CGAL_USE_FILE} )
+
+  include( CGAL_CreateSingleSourceCGALProgram )
+
+  include_directories (BEFORE "../../include")
+
+  create_single_source_cgal_program( "test_p4ht2_dummy_points.cpp" )
+
+else()
+  
+    message(STATUS "This program requires the CGAL library, and will not be compiled.")
+  
+endif()
+

Periodic_4_hyperbolic_triangulation_2/test/Periodic_4_hyperbolic_triangulation_2/test_p4ht2_dummy_points.cpp

@@ -0,0 +1,53 @@
+
+
+#include <boost/tuple/tuple.hpp>
+#include <boost/random/linear_congruential.hpp>
+#include <boost/random/uniform_smallint.hpp>
+#include <boost/random/variate_generator.hpp>
+
+#include <CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_2.h>
+#include <CGAL/Periodic_4_hyperbolic_Delaunay_triangulation_traits_2.h>
+#include <CGAL/Periodic_4_hyperbolic_triangulation_dummy_14.h>
+#include <CGAL/CORE_Expr.h>
+#include <CGAL/Cartesian.h>
+#include <CGAL/determinant.h>
+
+
+typedef CORE::Expr                                              					NT;					
+typedef CGAL::Cartesian<NT>                                     					Kernel;
+typedef CGAL::Periodic_4_hyperbolic_Delaunay_triangulation_traits_2<Kernel> 		Traits;
+typedef CGAL::Periodic_4_hyperbolic_Delaunay_triangulation_2<Traits>				Triangulation;
+
+typedef Triangulation::Point_2	                                   					Point_2;
+typedef Triangulation::Face_handle													Face_handle;
+typedef Triangulation::Vertex_handle												Vertex_handle;
+typedef Triangulation::Locate_type 													Locate_type;
+
+typedef std::pair<Vertex_handle, Vertex_handle>                                     Edge;
+typedef unsigned short int                                                          Int;
+typedef CGAL::Hyperbolic_word_4<Int>                                                Offset;
+typedef std::pair<Edge, bool>                                                       OEdge;
+typedef std::set<OEdge>                                                             OEdgeSet;
+typedef OEdgeSet::iterator                                                          OEI;
+
+int ccw(int i) {
+    return (i+1)%3;
+}
+
+int main(void) {
+
+    Triangulation tr;    
+    tr.insert_dummy_points();
+    
+    cout << "Triangulation successfully initialized with dummy points!" << endl;
+    cout << "Number of vertices:                  " << tr.number_of_vertices() << endl;
+    cout << "Number of faces:                     " << tr.number_of_faces() << endl;
+    cout << "Number of edges:                     " << tr.number_of_edges() << endl;
+    cout << "Expected edges (by Euler relation):  " << tr.number_of_vertices() + tr.number_of_faces() + 2 << endl;
+
+    cout << "Triangulation is valid: " << (tr.is_valid(true) ? "YES" : "NO") << endl;
+
+    assert(tr.is_valid());
+
+    return 0;
+}