init versie

.qmake.stash

@@ -0,0 +1,23 @@
+QMAKE_CXX.QT_COMPILER_STDCXX = 201703L
+QMAKE_CXX.QMAKE_GCC_MAJOR_VERSION = 13
+QMAKE_CXX.QMAKE_GCC_MINOR_VERSION = 3
+QMAKE_CXX.QMAKE_GCC_PATCH_VERSION = 0
+QMAKE_CXX.COMPILER_MACROS = \
+    QT_COMPILER_STDCXX \
+    QMAKE_GCC_MAJOR_VERSION \
+    QMAKE_GCC_MINOR_VERSION \
+    QMAKE_GCC_PATCH_VERSION
+QMAKE_CXX.INCDIRS = \
+    /usr/include/c++/13 \
+    /usr/include/x86_64-linux-gnu/c++/13 \
+    /usr/include/c++/13/backward \
+    /usr/lib/gcc/x86_64-linux-gnu/13/include \
+    /usr/local/include \
+    /usr/include/x86_64-linux-gnu \
+    /usr/include
+QMAKE_CXX.LIBDIRS = \
+    /usr/lib/gcc/x86_64-linux-gnu/13 \
+    /usr/lib/x86_64-linux-gnu \
+    /usr/lib \
+    /lib/x86_64-linux-gnu \
+    /lib

Makefile

@@ -0,0 +1,508 @@
+#############################################################################
+# Makefile for building: tiletest
+# Generated by qmake (3.1) (Qt 5.15.13)
+# Project:  tiletest.pro
+# Template: app
+# Command: /usr/lib/qt5/bin/qmake -o Makefile tiletest.pro
+#############################################################################
+
+MAKEFILE      = Makefile
+
+EQ            = =
+
+####### Compiler, tools and options
+
+CC            = gcc
+CXX           = g++
+DEFINES       = -DQT_NO_DEBUG -DQT_WIDGETS_LIB -DQT_GUI_LIB -DQT_CORE_LIB
+CFLAGS        = -pipe -O2 -Wall -Wextra -D_REENTRANT -fPIC $(DEFINES)
+CXXFLAGS      = -pipe -O2 -Wall -Wextra -D_REENTRANT -fPIC $(DEFINES)
+INCPATH       = -I. -I/usr/include/x86_64-linux-gnu/qt5 -I/usr/include/x86_64-linux-gnu/qt5/QtWidgets -I/usr/include/x86_64-linux-gnu/qt5/QtGui -I/usr/include/x86_64-linux-gnu/qt5/QtCore -I. -I. -I/usr/lib/x86_64-linux-gnu/qt5/mkspecs/linux-g++
+QMAKE         = /usr/lib/qt5/bin/qmake
+DEL_FILE      = rm -f
+CHK_DIR_EXISTS= test -d
+MKDIR         = mkdir -p
+COPY          = cp -f
+COPY_FILE     = cp -f
+COPY_DIR      = cp -f -R
+INSTALL_FILE  = install -m 644 -p
+INSTALL_PROGRAM = install -m 755 -p
+INSTALL_DIR   = cp -f -R
+QINSTALL      = /usr/lib/qt5/bin/qmake -install qinstall
+QINSTALL_PROGRAM = /usr/lib/qt5/bin/qmake -install qinstall -exe
+DEL_FILE      = rm -f
+SYMLINK       = ln -f -s
+DEL_DIR       = rmdir
+MOVE          = mv -f
+TAR           = tar -cf
+COMPRESS      = gzip -9f
+DISTNAME      = tiletest1.0.0
+DISTDIR = /home/bart/project/tiletest/.tmp/tiletest1.0.0
+LINK          = g++
+LFLAGS        = -Wl,-O1
+LIBS          = $(SUBLIBS) -L/usr/lib64 -lGLEW -lX11 -lGLU /usr/lib/x86_64-linux-gnu/libQt5Widgets.so /usr/lib/x86_64-linux-gnu/libQt5Gui.so /usr/lib/x86_64-linux-gnu/libQt5Core.so -lGL -lpthread   
+AR            = ar cqs
+RANLIB        = 
+SED           = sed
+STRIP         = strip
+
+####### Output directory
+
+OBJECTS_DIR   = ./
+
+####### Files
+
+SOURCES       = main.cpp \
+		mainwindow.cpp \
+		qscenerenderer.cpp \
+		vertex.cpp \
+		tile.cpp \
+		tilevertexinfo.cpp \
+		face.cpp qrc_shaders.cpp \
+		moc_mainwindow.cpp
+OBJECTS       = main.o \
+		mainwindow.o \
+		qscenerenderer.o \
+		vertex.o \
+		tile.o \
+		tilevertexinfo.o \
+		face.o \
+		qrc_shaders.o \
+		moc_mainwindow.o
+DIST          = shaders/simple.vert \
+		shaders/simple.frag \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/spec_pre.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/unix.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/linux.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/sanitize.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/gcc-base.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/gcc-base-unix.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/g++-base.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/g++-unix.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/qconfig.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KConfigCore.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KConfigGui.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KCoreAddons.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KDBusAddons.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KI18n.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KService.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KWindowSystem.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_accessibility_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_bootstrap_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_concurrent.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_concurrent_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_core.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_core_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_dbus.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_dbus_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_devicediscovery_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_edid_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_egl_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eglfs_kms_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eglfsdeviceintegration_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eventdispatcher_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_fb_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_fontdatabase_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_glx_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_gui.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_gui_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_input_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_kms_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_linuxaccessibility_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_network.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_network_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_opengl.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_opengl_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_openglextensions.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_openglextensions_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_platformcompositor_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_printsupport.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_printsupport_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_script.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_scripttools.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_service_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_sql.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_sql_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_testlib.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_testlib_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_theme_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_vulkan_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_widgets.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_widgets_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xcb_qpa_lib_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xkbcommon_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xml.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xml_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt_functions.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt_config.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/linux-g++/qmake.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/spec_post.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/exclusive_builds.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/toolchain.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/default_pre.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resolve_config.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/default_post.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/link_pkgconfig.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/warn_on.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resources_functions.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resources.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/moc.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/unix/opengl.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/uic.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/unix/thread.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qmake_use.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/file_copies.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/testcase_targets.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/exceptions.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/yacc.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/lex.prf \
+		tiletest.pro mainwindow.h \
+		qscenerenderer.h \
+		vertex.h \
+		tile.h \
+		terrain.h \
+		tilevertexinfo.h \
+		matrix2d.h \
+		face.h main.cpp \
+		mainwindow.cpp \
+		qscenerenderer.cpp \
+		vertex.cpp \
+		tile.cpp \
+		tilevertexinfo.cpp \
+		face.cpp
+QMAKE_TARGET  = tiletest
+DESTDIR       = 
+TARGET        = tiletest
+
+
+first: all
+####### Build rules
+
+tiletest: ui_mainwindow.h $(OBJECTS)  
+	$(LINK) $(LFLAGS) -o $(TARGET) $(OBJECTS) $(OBJCOMP) $(LIBS)
+
+Makefile: tiletest.pro /usr/lib/x86_64-linux-gnu/qt5/mkspecs/linux-g++/qmake.conf /usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/spec_pre.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/unix.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/linux.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/sanitize.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/gcc-base.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/gcc-base-unix.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/g++-base.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/g++-unix.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/qconfig.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KConfigCore.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KConfigGui.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KCoreAddons.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KDBusAddons.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KI18n.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KService.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KWindowSystem.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_accessibility_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_bootstrap_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_concurrent.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_concurrent_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_core.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_core_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_dbus.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_dbus_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_devicediscovery_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_edid_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_egl_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eglfs_kms_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eglfsdeviceintegration_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eventdispatcher_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_fb_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_fontdatabase_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_glx_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_gui.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_gui_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_input_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_kms_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_linuxaccessibility_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_network.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_network_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_opengl.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_opengl_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_openglextensions.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_openglextensions_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_platformcompositor_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_printsupport.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_printsupport_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_script.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_scripttools.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_service_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_sql.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_sql_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_testlib.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_testlib_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_theme_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_vulkan_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_widgets.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_widgets_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xcb_qpa_lib_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xkbcommon_support_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xml.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xml_private.pri \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt_functions.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt_config.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/linux-g++/qmake.conf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/spec_post.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/exclusive_builds.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/toolchain.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/default_pre.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resolve_config.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/default_post.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/link_pkgconfig.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/warn_on.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resources_functions.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resources.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/moc.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/unix/opengl.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/uic.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/unix/thread.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qmake_use.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/file_copies.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/testcase_targets.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/exceptions.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/yacc.prf \
+		/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/lex.prf \
+		tiletest.pro \
+		shaders.qrc
+	$(QMAKE) -o Makefile tiletest.pro
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/spec_pre.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/unix.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/linux.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/sanitize.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/gcc-base.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/gcc-base-unix.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/g++-base.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/common/g++-unix.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/qconfig.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KConfigCore.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KConfigGui.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KCoreAddons.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KDBusAddons.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KI18n.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KService.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_KWindowSystem.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_accessibility_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_bootstrap_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_concurrent.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_concurrent_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_core.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_core_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_dbus.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_dbus_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_devicediscovery_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_edid_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_egl_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eglfs_kms_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eglfsdeviceintegration_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_eventdispatcher_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_fb_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_fontdatabase_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_glx_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_gui.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_gui_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_input_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_kms_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_linuxaccessibility_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_network.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_network_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_opengl.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_opengl_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_openglextensions.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_openglextensions_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_platformcompositor_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_printsupport.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_printsupport_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_script.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_scripttools.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_service_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_sql.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_sql_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_testlib.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_testlib_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_theme_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_vulkan_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_widgets.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_widgets_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xcb_qpa_lib_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xkbcommon_support_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xml.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/modules/qt_lib_xml_private.pri:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt_functions.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt_config.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/linux-g++/qmake.conf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/spec_post.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/exclusive_builds.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/toolchain.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/default_pre.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resolve_config.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/default_post.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/link_pkgconfig.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/warn_on.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qt.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resources_functions.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/resources.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/moc.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/unix/opengl.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/uic.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/unix/thread.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/qmake_use.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/file_copies.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/testcase_targets.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/exceptions.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/yacc.prf:
+/usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/lex.prf:
+tiletest.pro:
+shaders.qrc:
+qmake: FORCE
+	@$(QMAKE) -o Makefile tiletest.pro
+
+qmake_all: FORCE
+
+
+all: Makefile tiletest
+
+dist: distdir FORCE
+	(cd `dirname $(DISTDIR)` && $(TAR) $(DISTNAME).tar $(DISTNAME) && $(COMPRESS) $(DISTNAME).tar) && $(MOVE) `dirname $(DISTDIR)`/$(DISTNAME).tar.gz . && $(DEL_FILE) -r $(DISTDIR)
+
+distdir: FORCE
+	@test -d $(DISTDIR) || mkdir -p $(DISTDIR)
+	$(COPY_FILE) --parents $(DIST) $(DISTDIR)/
+	$(COPY_FILE) --parents shaders.qrc $(DISTDIR)/
+	$(COPY_FILE) --parents /usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/data/dummy.cpp $(DISTDIR)/
+	$(COPY_FILE) --parents mainwindow.h qscenerenderer.h vertex.h tile.h terrain.h tilevertexinfo.h matrix2d.h face.h $(DISTDIR)/
+	$(COPY_FILE) --parents main.cpp mainwindow.cpp qscenerenderer.cpp vertex.cpp tile.cpp tilevertexinfo.cpp face.cpp $(DISTDIR)/
+	$(COPY_FILE) --parents mainwindow.ui $(DISTDIR)/
+
+
+clean: compiler_clean 
+	-$(DEL_FILE) $(OBJECTS)
+	-$(DEL_FILE) *~ core *.core
+
+
+distclean: clean 
+	-$(DEL_FILE) $(TARGET) 
+	-$(DEL_FILE) .qmake.stash
+	-$(DEL_FILE) Makefile
+
+
+####### Sub-libraries
+
+mocclean: compiler_moc_header_clean compiler_moc_objc_header_clean compiler_moc_source_clean
+
+mocables: compiler_moc_header_make_all compiler_moc_objc_header_make_all compiler_moc_source_make_all
+
+check: first
+
+benchmark: first
+
+compiler_rcc_make_all: qrc_shaders.cpp
+compiler_rcc_clean:
+	-$(DEL_FILE) qrc_shaders.cpp
+qrc_shaders.cpp: shaders.qrc \
+		/usr/lib/qt5/bin/rcc \
+		shaders/simple.frag \
+		shaders/simple.vert
+	/usr/lib/qt5/bin/rcc -name shaders shaders.qrc -o qrc_shaders.cpp
+
+compiler_moc_predefs_make_all: moc_predefs.h
+compiler_moc_predefs_clean:
+	-$(DEL_FILE) moc_predefs.h
+moc_predefs.h: /usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/data/dummy.cpp
+	g++ -pipe -O2 -Wall -Wextra -dM -E -o moc_predefs.h /usr/lib/x86_64-linux-gnu/qt5/mkspecs/features/data/dummy.cpp
+
+compiler_moc_header_make_all: moc_mainwindow.cpp
+compiler_moc_header_clean:
+	-$(DEL_FILE) moc_mainwindow.cpp
+moc_mainwindow.cpp: mainwindow.h \
+		moc_predefs.h \
+		/usr/lib/qt5/bin/moc
+	/usr/lib/qt5/bin/moc $(DEFINES) --include /home/bart/project/tiletest/moc_predefs.h -I/usr/lib/x86_64-linux-gnu/qt5/mkspecs/linux-g++ -I/home/bart/project/tiletest -I/usr/include/x86_64-linux-gnu/qt5 -I/usr/include/x86_64-linux-gnu/qt5/QtWidgets -I/usr/include/x86_64-linux-gnu/qt5/QtGui -I/usr/include/x86_64-linux-gnu/qt5/QtCore -I/usr/include/c++/13 -I/usr/include/x86_64-linux-gnu/c++/13 -I/usr/include/c++/13/backward -I/usr/lib/gcc/x86_64-linux-gnu/13/include -I/usr/local/include -I/usr/include/x86_64-linux-gnu -I/usr/include mainwindow.h -o moc_mainwindow.cpp
+
+compiler_moc_objc_header_make_all:
+compiler_moc_objc_header_clean:
+compiler_moc_source_make_all:
+compiler_moc_source_clean:
+compiler_uic_make_all: ui_mainwindow.h
+compiler_uic_clean:
+	-$(DEL_FILE) ui_mainwindow.h
+ui_mainwindow.h: mainwindow.ui \
+		/usr/lib/qt5/bin/uic \
+		qscenerenderer.h \
+		terrain.h \
+		tile.h \
+		vertex.h \
+		face.h \
+		tilevertexinfo.h \
+		matrix2d.h
+	/usr/lib/qt5/bin/uic mainwindow.ui -o ui_mainwindow.h
+
+compiler_yacc_decl_make_all:
+compiler_yacc_decl_clean:
+compiler_yacc_impl_make_all:
+compiler_yacc_impl_clean:
+compiler_lex_make_all:
+compiler_lex_clean:
+compiler_clean: compiler_rcc_clean compiler_moc_predefs_clean compiler_moc_header_clean compiler_uic_clean 
+
+####### Compile
+
+main.o: main.cpp mainwindow.h
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o main.o main.cpp
+
+mainwindow.o: mainwindow.cpp mainwindow.h \
+		ui_mainwindow.h
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o mainwindow.o mainwindow.cpp
+
+qscenerenderer.o: qscenerenderer.cpp qscenerenderer.h \
+		terrain.h \
+		tile.h \
+		vertex.h \
+		face.h \
+		tilevertexinfo.h \
+		matrix2d.h
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o qscenerenderer.o qscenerenderer.cpp
+
+vertex.o: vertex.cpp vertex.h \
+		face.h \
+		tilevertexinfo.h
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o vertex.o vertex.cpp
+
+tile.o: tile.cpp tile.h \
+		vertex.h \
+		face.h \
+		tilevertexinfo.h \
+		terrain.h \
+		matrix2d.h \
+		qscenerenderer.h
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o tile.o tile.cpp
+
+tilevertexinfo.o: tilevertexinfo.cpp tilevertexinfo.h \
+		vertex.h \
+		face.h
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o tilevertexinfo.o tilevertexinfo.cpp
+
+face.o: face.cpp face.h \
+		vertex.h \
+		tilevertexinfo.h
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o face.o face.cpp
+
+qrc_shaders.o: qrc_shaders.cpp 
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o qrc_shaders.o qrc_shaders.cpp
+
+moc_mainwindow.o: moc_mainwindow.cpp 
+	$(CXX) -c $(CXXFLAGS) $(INCPATH) -o moc_mainwindow.o moc_mainwindow.cpp
+
+####### Install
+
+install:  FORCE
+
+uninstall:  FORCE
+
+FORCE:
+

face.cpp

@@ -0,0 +1,70 @@
+#include "face.h"
+
+
+float Face::sign (QVector2D p1, QVector2D p2, QVector2D p3)
+{
+    return (p1.x() - p3.x()) * (p2.y() - p3.y()) - (p2.x() - p3.x()) * (p1.y() - p3.y());
+}
+
+bool Face::PointInFace (QVector2D pt)
+{
+    bool b1, b2, b3;
+
+    //b1 = sign(pt, v1, v2) < 0.0f;
+    //b2 = sign(pt, v2, v3) < 0.0f;
+   // b3 = sign(pt, v3, v1) < 0.0f;
+
+    return ((b1 == b2) && (b2 == b3));
+}
+
+Face::Face(Vertex *v1,TileVertexInfo *vi1,  Vertex *v2,TileVertexInfo *vi2,Vertex *v3,TileVertexInfo *vi3)
+{m_subface= NULL;
+    setSettings(v1,vi1,v2,vi2,v3,vi3);
+}
+
+void Face::setSettings(Vertex *v1, TileVertexInfo *vi1, Vertex *v2, TileVertexInfo *vi2, Vertex *v3, TileVertexInfo *vi3)
+{
+    m_v1 = v1;
+    m_v2 = v2;
+    m_v3 = v3;
+    m_vi1 = vi1;
+    m_vi2 = vi2;
+    m_vi3 = vi3;
+    recalcNormal();
+}
+
+void Face::recalcNormal()
+{
+    QVector3D v1=QVector3D(m_v1->position().x(),m_v1->position().y(),m_vi1->height());
+    QVector3D v2=QVector3D(m_v2->position().x(),m_v2->position().y(),m_vi2->height());
+    QVector3D v3=QVector3D(m_v3->position().x(),m_v3->position().y(),m_vi3->height());
+
+    QVector3D va = v1 - v2;
+    QVector3D vb = v3 - v2;
+    m_normal = QVector3D::crossProduct(va,vb);
+    /*float norm_len = sqrt(dot(norm, norm));
+    norm /= norm_len; */
+}
+
+QVector3D Face::normal()
+{
+    return m_normal;
+}
+
+void Face::findFaces(std::vector<Face *> &vec, QVector2D s)
+{
+    if (m_subface!=NULL) {
+        for (int i=0; i<4;i++) {
+            m_subface[i].findFaces(vec,s);
+        }
+    }
+    else {
+        if (
+                ((m_v1->position().x() == s.x()) && (m_v1->position().y() == s.y())) ||
+                ((m_v2->position().x() == s.x()) && (m_v2->position().y() == s.y())) ||
+                ((m_v3->position().x()== s.x()) && (m_v3->position().y() == s.y()))
+                ) {
+            vec.push_back(this);
+        }
+    }
+}

face.h

@@ -0,0 +1,61 @@
+#ifndef FACE_H
+#define FACE_H
+#include "vertex.h"
+#include "tilevertexinfo.h"
+#include <QVector3D>
+class Face;
+class Vertex;
+class TileVertexInfo;
+class Face
+{
+private:
+    Vertex *m_v1;
+    Vertex *m_v2;
+    Vertex *m_v3;
+
+    TileVertexInfo *m_vi1;
+    TileVertexInfo *m_vi2;
+    TileVertexInfo *m_vi3;
+
+    Face * m_parent;
+
+    QVector3D m_normal;
+    Face * m_subface = NULL;
+    float sign (QVector2D p1, QVector2D p2, QVector2D p3);
+    bool PointInFace (QVector2D pt);
+
+public:
+    Face () { m_subface= NULL;}
+    Face(Vertex *v1
+         , TileVertexInfo *vi1
+         , Vertex *v2
+         , TileVertexInfo *vi2
+         , Vertex *v3
+         , TileVertexInfo *vi3);
+
+    void setSettings(Vertex *v1
+         , TileVertexInfo *vi1
+         , Vertex *v2
+         , TileVertexInfo *vi2
+         , Vertex *v3
+         , TileVertexInfo *vi3);
+
+    void recalcNormal();
+    QVector3D normal();
+
+    inline TileVertexInfo * getVi1() { return m_vi1; }
+    inline TileVertexInfo * getVi2() { return m_vi2; }
+    inline TileVertexInfo * getVi3() { return m_vi3; }
+
+    void createSub() {
+        m_subface = new Face[4];
+        for (int i=0; i<4;i++) {
+            m_subface[i].setParent(this);
+        }
+    }
+    inline Face &getSub(int nr) { return m_subface[nr]; }
+    inline void setParent(Face *parent) {m_parent = parent;}
+    void findFaces(std::vector<Face *> &vec, QVector2D s);
+};
+
+#endif // FACE_H

main.cpp

@@ -0,0 +1,11 @@
+#include "mainwindow.h"
+#include <QApplication>
+
+int main(int argc, char *argv[])
+{
+    QApplication a(argc, argv);
+    MainWindow w;
+    w.show();
+
+    return a.exec();
+}

mainwindow.cpp

@@ -0,0 +1,14 @@
+#include "mainwindow.h"
+#include "ui_mainwindow.h"
+
+MainWindow::MainWindow(QWidget *parent) :
+    QMainWindow(parent),
+    ui(new Ui::MainWindow)
+{
+    ui->setupUi(this);
+}
+
+MainWindow::~MainWindow()
+{
+    delete ui;
+}

mainwindow.h

@@ -0,0 +1,22 @@
+#ifndef MAINWINDOW_H
+#define MAINWINDOW_H
+#include <GL/glew.h>
+#include <QMainWindow>
+
+namespace Ui {
+class MainWindow;
+}
+
+class MainWindow : public QMainWindow
+{
+    Q_OBJECT
+
+public:
+    explicit MainWindow(QWidget *parent = 0);
+    ~MainWindow();
+
+private:
+    Ui::MainWindow *ui;
+};
+
+#endif // MAINWINDOW_H

mainwindow.ui

@@ -0,0 +1,38 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<ui version="4.0">
+ <class>MainWindow</class>
+ <widget class="QMainWindow" name="MainWindow">
+  <property name="geometry">
+   <rect>
+    <x>0</x>
+    <y>0</y>
+    <width>606</width>
+    <height>463</height>
+   </rect>
+  </property>
+  <property name="windowTitle">
+   <string>MainWindow</string>
+  </property>
+  <widget class="QWidget" name="centralWidget">
+   <layout class="QHBoxLayout" name="horizontalLayout">
+    <item>
+     <widget class="QSceneRenderer" name="openGLWidget">
+      <property name="focusPolicy">
+       <enum>Qt::StrongFocus</enum>
+      </property>
+     </widget>
+    </item>
+   </layout>
+  </widget>
+ </widget>
+ <layoutdefault spacing="6" margin="11"/>
+ <customwidgets>
+  <customwidget>
+   <class>QSceneRenderer</class>
+   <extends>QOpenGLWidget</extends>
+   <header>qscenerenderer.h</header>
+  </customwidget>
+ </customwidgets>
+ <resources/>
+ <connections/>
+</ui>

matrix2d.cpp

@@ -0,0 +1,6 @@
+#include "matrix2d.h"
+
+Matrix2D::Matrix2D()
+{
+
+}

matrix2d.h

@@ -0,0 +1,33 @@
+#ifndef MATRIX2D_H
+#define MATRIX2D_H
+
+
+template <typename T>
+class Matrix2D {
+    std::vector<T> data;
+    unsigned int sizeX, sizeY;
+public:
+    Matrix2D (unsigned int x, unsigned int y)
+        : sizeX (x), sizeY (y) {
+        data.resize (sizeX*sizeY);
+    }
+
+    T& operator()( int x,  int y) {
+        if (x >= (int) sizeX )
+            x-= sizeX;
+        if (x < 0 )
+            x+= sizeX;
+        if (y<0) y=0;
+        if (y >= (int) sizeY )
+          y =sizeY-1;
+        //if (y>= sizeY ||  y<0)
+        //    throw std::out_of_range("OOB access"); // Throw something more appropriate
+        return data[sizeX*y + x]; // Stride-aware access
+    }
+
+    T* row(unsigned int y) {
+        if (y >= sizeY) y = sizeY - 1;
+        return &data[sizeX * y];
+    }
+};
+#endif // MATRIX2D_H

moc_mainwindow.cpp

@@ -0,0 +1,95 @@
+/****************************************************************************
+** Meta object code from reading C++ file 'mainwindow.h'
+**
+** Created by: The Qt Meta Object Compiler version 67 (Qt 5.15.13)
+**
+** WARNING! All changes made in this file will be lost!
+*****************************************************************************/
+
+#include <memory>
+#include "mainwindow.h"
+#include <QtCore/qbytearray.h>
+#include <QtCore/qmetatype.h>
+#if !defined(Q_MOC_OUTPUT_REVISION)
+#error "The header file 'mainwindow.h' doesn't include <QObject>."
+#elif Q_MOC_OUTPUT_REVISION != 67
+#error "This file was generated using the moc from 5.15.13. It"
+#error "cannot be used with the include files from this version of Qt."
+#error "(The moc has changed too much.)"
+#endif
+
+QT_BEGIN_MOC_NAMESPACE
+QT_WARNING_PUSH
+QT_WARNING_DISABLE_DEPRECATED
+struct qt_meta_stringdata_MainWindow_t {
+    QByteArrayData data[1];
+    char stringdata0[11];
+};
+#define QT_MOC_LITERAL(idx, ofs, len) \
+    Q_STATIC_BYTE_ARRAY_DATA_HEADER_INITIALIZER_WITH_OFFSET(len, \
+    qptrdiff(offsetof(qt_meta_stringdata_MainWindow_t, stringdata0) + ofs \
+        - idx * sizeof(QByteArrayData)) \
+    )
+static const qt_meta_stringdata_MainWindow_t qt_meta_stringdata_MainWindow = {
+    {
+QT_MOC_LITERAL(0, 0, 10) // "MainWindow"
+
+    },
+    "MainWindow"
+};
+#undef QT_MOC_LITERAL
+
+static const uint qt_meta_data_MainWindow[] = {
+
+ // content:
+       8,       // revision
+       0,       // classname
+       0,    0, // classinfo
+       0,    0, // methods
+       0,    0, // properties
+       0,    0, // enums/sets
+       0,    0, // constructors
+       0,       // flags
+       0,       // signalCount
+
+       0        // eod
+};
+
+void MainWindow::qt_static_metacall(QObject *_o, QMetaObject::Call _c, int _id, void **_a)
+{
+    (void)_o;
+    (void)_id;
+    (void)_c;
+    (void)_a;
+}
+
+QT_INIT_METAOBJECT const QMetaObject MainWindow::staticMetaObject = { {
+    QMetaObject::SuperData::link<QMainWindow::staticMetaObject>(),
+    qt_meta_stringdata_MainWindow.data,
+    qt_meta_data_MainWindow,
+    qt_static_metacall,
+    nullptr,
+    nullptr
+} };
+
+
+const QMetaObject *MainWindow::metaObject() const
+{
+    return QObject::d_ptr->metaObject ? QObject::d_ptr->dynamicMetaObject() : &staticMetaObject;
+}
+
+void *MainWindow::qt_metacast(const char *_clname)
+{
+    if (!_clname) return nullptr;
+    if (!strcmp(_clname, qt_meta_stringdata_MainWindow.stringdata0))
+        return static_cast<void*>(this);
+    return QMainWindow::qt_metacast(_clname);
+}
+
+int MainWindow::qt_metacall(QMetaObject::Call _c, int _id, void **_a)
+{
+    _id = QMainWindow::qt_metacall(_c, _id, _a);
+    return _id;
+}
+QT_WARNING_POP
+QT_END_MOC_NAMESPACE

moc_predefs.h

@@ -0,0 +1,464 @@
+#define __DBL_MIN_EXP__ (-1021)
+#define __cpp_nontype_template_parameter_auto 201606L
+#define __UINT_LEAST16_MAX__ 0xffff
+#define __FLT16_HAS_QUIET_NAN__ 1
+#define __ATOMIC_ACQUIRE 2
+#define __FLT128_MAX_10_EXP__ 4932
+#define __FLT_MIN__ 1.17549435082228750796873653722224568e-38F
+#define __GCC_IEC_559_COMPLEX 2
+#define __cpp_aggregate_nsdmi 201304L
+#define __UINT_LEAST8_TYPE__ unsigned char
+#define __SIZEOF_FLOAT80__ 16
+#define __BFLT16_DENORM_MIN__ 9.18354961579912115600575419704879436e-41BF16
+#define __INTMAX_C(c) c ## L
+#define __CHAR_BIT__ 8
+#define __UINT8_MAX__ 0xff
+#define __SCHAR_WIDTH__ 8
+#define __WINT_MAX__ 0xffffffffU
+#define __FLT32_MIN_EXP__ (-125)
+#define __cpp_static_assert 201411L
+#define __BFLT16_MIN_10_EXP__ (-37)
+#define __ORDER_LITTLE_ENDIAN__ 1234
+#define __WCHAR_MAX__ 0x7fffffff
+#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_2 1
+#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_4 1
+#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_8 1
+#define __GCC_ATOMIC_CHAR_LOCK_FREE 2
+#define __GCC_IEC_559 2
+#define __FLT32X_DECIMAL_DIG__ 17
+#define __FLT_EVAL_METHOD__ 0
+#define __cpp_binary_literals 201304L
+#define __FLT64_DECIMAL_DIG__ 17
+#define __CET__ 3
+#define __cpp_noexcept_function_type 201510L
+#define __GCC_ATOMIC_CHAR32_T_LOCK_FREE 2
+#define __cpp_variadic_templates 200704L
+#define __UINT_FAST64_MAX__ 0xffffffffffffffffUL
+#define __SIG_ATOMIC_TYPE__ int
+#define __DBL_MIN_10_EXP__ (-307)
+#define __FINITE_MATH_ONLY__ 0
+#define __cpp_variable_templates 201304L
+#define __FLT32X_MAX_EXP__ 1024
+#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_1 1
+#define __FLT32_HAS_DENORM__ 1
+#define __UINT_FAST8_MAX__ 0xff
+#define __cpp_rvalue_reference 200610L
+#define __cpp_nested_namespace_definitions 201411L
+#define __DEC64_MAX_EXP__ 385
+#define __INT8_C(c) c
+#define __LDBL_HAS_INFINITY__ 1
+#define __INT_LEAST8_WIDTH__ 8
+#define __cpp_variadic_using 201611L
+#define __UINT_LEAST64_MAX__ 0xffffffffffffffffUL
+#define __INT_LEAST8_MAX__ 0x7f
+#define __cpp_attributes 200809L
+#define __cpp_capture_star_this 201603L
+#define __SHRT_MAX__ 0x7fff
+#define __LDBL_MAX__ 1.18973149535723176502126385303097021e+4932L
+#define __FLT64X_MAX_10_EXP__ 4932
+#define __cpp_if_constexpr 201606L
+#define __BFLT16_MAX_10_EXP__ 38
+#define __BFLT16_MAX_EXP__ 128
+#define __LDBL_IS_IEC_60559__ 1
+#define __FLT64X_HAS_QUIET_NAN__ 1
+#define __UINT_LEAST8_MAX__ 0xff
+#define __GCC_ATOMIC_BOOL_LOCK_FREE 2
+#define __FLT128_DENORM_MIN__ 6.47517511943802511092443895822764655e-4966F128
+#define __UINTMAX_TYPE__ long unsigned int
+#define __cpp_nsdmi 200809L
+#define __BFLT16_DECIMAL_DIG__ 4
+#define __linux 1
+#define __DEC32_EPSILON__ 1E-6DF
+#define __FLT_EVAL_METHOD_TS_18661_3__ 0
+#define __OPTIMIZE__ 1
+#define __UINT32_MAX__ 0xffffffffU
+#define __GXX_EXPERIMENTAL_CXX0X__ 1
+#define __DBL_DENORM_MIN__ double(4.94065645841246544176568792868221372e-324L)
+#define __FLT128_MIN_EXP__ (-16381)
+#define __WINT_MIN__ 0U
+#define __FLT128_MIN_10_EXP__ (-4931)
+#define __FLT32X_IS_IEC_60559__ 1
+#define __INT_LEAST16_WIDTH__ 16
+#define __SCHAR_MAX__ 0x7f
+#define __FLT128_MANT_DIG__ 113
+#define __WCHAR_MIN__ (-__WCHAR_MAX__ - 1)
+#define __INT64_C(c) c ## L
+#define __SSP_STRONG__ 3
+#define __GCC_ATOMIC_POINTER_LOCK_FREE 2
+#define __ATOMIC_SEQ_CST 5
+#define _FORTIFY_SOURCE 3
+#define __unix 1
+#define __INT_LEAST64_MAX__ 0x7fffffffffffffffL
+#define __FLT32X_MANT_DIG__ 53
+#define __GCC_ATOMIC_CHAR16_T_LOCK_FREE 2
+#define __cpp_aligned_new 201606L
+#define __FLT32_MAX_10_EXP__ 38
+#define __FLT64X_EPSILON__ 1.08420217248550443400745280086994171e-19F64x
+#define __STDC_HOSTED__ 1
+#define __DEC64_MIN_EXP__ (-382)
+#define __cpp_decltype_auto 201304L
+#define __DBL_DIG__ 15
+#define __FLT_EPSILON__ 1.19209289550781250000000000000000000e-7F
+#define __GXX_WEAK__ 1
+#define __SHRT_WIDTH__ 16
+#define __FLT32_IS_IEC_60559__ 1
+#define __LDBL_MIN__ 3.36210314311209350626267781732175260e-4932L
+#define __DBL_IS_IEC_60559__ 1
+#define __DEC32_MAX__ 9.999999E96DF
+#define __cpp_threadsafe_static_init 200806L
+#define __cpp_enumerator_attributes 201411L
+#define __FLT64X_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951F64x
+#define __FLT32X_HAS_INFINITY__ 1
+#define __unix__ 1
+#define __INT_WIDTH__ 32
+#define __STDC_IEC_559__ 1
+#define __STDC_ISO_10646__ 201706L
+#define __DECIMAL_DIG__ 21
+#define __STDC_IEC_559_COMPLEX__ 1
+#define __FLT64_EPSILON__ 2.22044604925031308084726333618164062e-16F64
+#define __gnu_linux__ 1
+#define __INT16_MAX__ 0x7fff
+#define __FLT64_MIN_EXP__ (-1021)
+#define __FLT64X_MIN_10_EXP__ (-4931)
+#define __LDBL_HAS_QUIET_NAN__ 1
+#define __cpp_return_type_deduction 201304L
+#define __FLT16_MIN_EXP__ (-13)
+#define __FLT64_MANT_DIG__ 53
+#define __FLT64X_MANT_DIG__ 64
+#define __BFLT16_DIG__ 2
+#define __GNUC__ 13
+#define __GXX_RTTI 1
+#define __pie__ 2
+#define __MMX__ 1
+#define __FLT_HAS_DENORM__ 1
+#define __SIZEOF_LONG_DOUBLE__ 16
+#define __BIGGEST_ALIGNMENT__ 16
+#define __STDC_UTF_16__ 1
+#define __FLT64_MAX_10_EXP__ 308
+#define __BFLT16_IS_IEC_60559__ 0
+#define __FLT16_MAX_10_EXP__ 4
+#define __cpp_delegating_constructors 200604L
+#define __DBL_MAX__ double(1.79769313486231570814527423731704357e+308L)
+#define __cpp_raw_strings 200710L
+#define __INT_FAST32_MAX__ 0x7fffffffffffffffL
+#define __DBL_HAS_INFINITY__ 1
+#define __INT64_MAX__ 0x7fffffffffffffffL
+#define __SIZEOF_FLOAT__ 4
+#define __HAVE_SPECULATION_SAFE_VALUE 1
+#define __cpp_fold_expressions 201603L
+#define __DEC32_MIN_EXP__ (-94)
+#define __INTPTR_WIDTH__ 64
+#define __UINT_LEAST32_MAX__ 0xffffffffU
+#define __FLT32X_HAS_DENORM__ 1
+#define __INT_FAST16_TYPE__ long int
+#define __MMX_WITH_SSE__ 1
+#define __LDBL_HAS_DENORM__ 1
+#define __SEG_GS 1
+#define __BFLT16_EPSILON__ 7.81250000000000000000000000000000000e-3BF16
+#define __cplusplus 201703L
+#define __cpp_ref_qualifiers 200710L
+#define __DEC32_MIN__ 1E-95DF
+#define __DEPRECATED 1
+#define __cpp_rvalue_references 200610L
+#define __DBL_MAX_EXP__ 1024
+#define __WCHAR_WIDTH__ 32
+#define __FLT32_MAX__ 3.40282346638528859811704183484516925e+38F32
+#define __DEC128_EPSILON__ 1E-33DL
+#define __FLT16_DECIMAL_DIG__ 5
+#define __SSE2_MATH__ 1
+#define __ATOMIC_HLE_RELEASE 131072
+#define __PTRDIFF_MAX__ 0x7fffffffffffffffL
+#define __amd64 1
+#define __ATOMIC_HLE_ACQUIRE 65536
+#define __GNUG__ 13
+#define __LONG_LONG_MAX__ 0x7fffffffffffffffLL
+#define __SIZEOF_SIZE_T__ 8
+#define __BFLT16_HAS_INFINITY__ 1
+#define __FLT64X_MIN_EXP__ (-16381)
+#define __SIZEOF_WINT_T__ 4
+#define __FLT32X_DIG__ 15
+#define __LONG_LONG_WIDTH__ 64
+#define __cpp_initializer_lists 200806L
+#define __FLT32_MAX_EXP__ 128
+#define __cpp_hex_float 201603L
+#define __GXX_ABI_VERSION 1018
+#define __FLT_MIN_EXP__ (-125)
+#define __GCC_HAVE_DWARF2_CFI_ASM 1
+#define __x86_64 1
+#define __cpp_lambdas 200907L
+#define __INT_FAST64_TYPE__ long int
+#define __BFLT16_MAX__ 3.38953138925153547590470800371487867e+38BF16
+#define __FLT64_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F64
+#define __cpp_template_auto 201606L
+#define __FLT16_DENORM_MIN__ 5.96046447753906250000000000000000000e-8F16
+#define __FLT128_EPSILON__ 1.92592994438723585305597794258492732e-34F128
+#define __FLT64X_NORM_MAX__ 1.18973149535723176502126385303097021e+4932F64x
+#define __SIZEOF_POINTER__ 8
+#define __SIZE_TYPE__ long unsigned int
+#define __LP64__ 1
+#define __DBL_HAS_QUIET_NAN__ 1
+#define __FLT32X_EPSILON__ 2.22044604925031308084726333618164062e-16F32x
+#define __LDBL_MAX_EXP__ 16384
+#define __DECIMAL_BID_FORMAT__ 1
+#define __FLT64_MIN_10_EXP__ (-307)
+#define __FLT16_MIN_10_EXP__ (-4)
+#define __FLT64X_DECIMAL_DIG__ 21
+#define __DEC128_MIN__ 1E-6143DL
+#define __REGISTER_PREFIX__ 
+#define __UINT16_MAX__ 0xffff
+#define __FLT128_HAS_INFINITY__ 1
+#define __FLT32_MIN__ 1.17549435082228750796873653722224568e-38F32
+#define __UINT8_TYPE__ unsigned char
+#define __FLT_DIG__ 6
+#define __DEC_EVAL_METHOD__ 2
+#define __FLT_MANT_DIG__ 24
+#define __LDBL_DECIMAL_DIG__ 21
+#define __VERSION__ "13.3.0"
+#define __UINT64_C(c) c ## UL
+#define __cpp_unicode_characters 201411L
+#define _STDC_PREDEF_H 1
+#define __INT_LEAST32_MAX__ 0x7fffffff
+#define __GCC_ATOMIC_INT_LOCK_FREE 2
+#define __FLT128_MAX_EXP__ 16384
+#define __FLT32_MANT_DIG__ 24
+#define __FLOAT_WORD_ORDER__ __ORDER_LITTLE_ENDIAN__
+#define __FLT32X_MIN_EXP__ (-1021)
+#define __STDC_IEC_60559_COMPLEX__ 201404L
+#define __cpp_aggregate_bases 201603L
+#define __BFLT16_MIN__ 1.17549435082228750796873653722224568e-38BF16
+#define __FLT128_HAS_DENORM__ 1
+#define __FLT32_DECIMAL_DIG__ 9
+#define __FLT128_DIG__ 33
+#define __INT32_C(c) c
+#define __DEC64_EPSILON__ 1E-15DD
+#define __ORDER_PDP_ENDIAN__ 3412
+#define __DEC128_MIN_EXP__ (-6142)
+#define __DEC128_MAX__ 9.999999999999999999999999999999999E6144DL
+#define __INT_FAST32_TYPE__ long int
+#define __UINT_LEAST16_TYPE__ short unsigned int
+#define __DEC128_MAX_EXP__ 6145
+#define unix 1
+#define __DBL_HAS_DENORM__ 1
+#define __cpp_rtti 199711L
+#define __UINT64_MAX__ 0xffffffffffffffffUL
+#define __FLT_IS_IEC_60559__ 1
+#define __GNUC_WIDE_EXECUTION_CHARSET_NAME "UTF-32LE"
+#define __FLT64X_DIG__ 18
+#define __INT8_TYPE__ signed char
+#define __cpp_digit_separators 201309L
+#define __ELF__ 1
+#define __GCC_ASM_FLAG_OUTPUTS__ 1
+#define __UINT32_TYPE__ unsigned int
+#define __BFLT16_HAS_QUIET_NAN__ 1
+#define __FLT_RADIX__ 2
+#define __INT_LEAST16_TYPE__ short int
+#define __LDBL_EPSILON__ 1.08420217248550443400745280086994171e-19L
+#define __UINTMAX_C(c) c ## UL
+#define __FLT16_DIG__ 3
+#define __k8 1
+#define __FLT32X_MIN__ 2.22507385850720138309023271733240406e-308F32x
+#define __SIG_ATOMIC_MAX__ 0x7fffffff
+#define __cpp_constexpr 201603L
+#define __GCC_ATOMIC_WCHAR_T_LOCK_FREE 2
+#define __USER_LABEL_PREFIX__ 
+#define __STDC_IEC_60559_BFP__ 201404L
+#define __SIZEOF_PTRDIFF_T__ 8
+#define __FLT64X_HAS_INFINITY__ 1
+#define __SIZEOF_LONG__ 8
+#define __LDBL_DIG__ 18
+#define __FLT64_IS_IEC_60559__ 1
+#define __x86_64__ 1
+#define __FLT16_IS_IEC_60559__ 1
+#define __FLT16_MAX_EXP__ 16
+#define __DEC32_SUBNORMAL_MIN__ 0.000001E-95DF
+#define __INT_FAST16_MAX__ 0x7fffffffffffffffL
+#define __GCC_CONSTRUCTIVE_SIZE 64
+#define __FLT64_DIG__ 15
+#define __UINT_FAST32_MAX__ 0xffffffffffffffffUL
+#define __UINT_LEAST64_TYPE__ long unsigned int
+#define __FLT16_EPSILON__ 9.76562500000000000000000000000000000e-4F16
+#define __FLT_HAS_QUIET_NAN__ 1
+#define __FLT_MAX_10_EXP__ 38
+#define __LONG_MAX__ 0x7fffffffffffffffL
+#define __FLT64X_HAS_DENORM__ 1
+#define __DEC128_SUBNORMAL_MIN__ 0.000000000000000000000000000000001E-6143DL
+#define __FLT_HAS_INFINITY__ 1
+#define __GNUC_EXECUTION_CHARSET_NAME "UTF-8"
+#define __cpp_unicode_literals 200710L
+#define __UINT_FAST16_TYPE__ long unsigned int
+#define __DEC64_MAX__ 9.999999999999999E384DD
+#define __INT_FAST32_WIDTH__ 64
+#define __CHAR16_TYPE__ short unsigned int
+#define __PRAGMA_REDEFINE_EXTNAME 1
+#define __SIZE_WIDTH__ 64
+#define __SEG_FS 1
+#define __INT_LEAST16_MAX__ 0x7fff
+#define __FLT16_NORM_MAX__ 6.55040000000000000000000000000000000e+4F16
+#define __DEC64_MANT_DIG__ 16
+#define __FLT32_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F32
+#define __SIG_ATOMIC_WIDTH__ 32
+#define __INT_LEAST64_TYPE__ long int
+#define __INT16_TYPE__ short int
+#define __INT_LEAST8_TYPE__ signed char
+#define __FLT16_MAX__ 6.55040000000000000000000000000000000e+4F16
+#define __FLT128_MIN__ 3.36210314311209350626267781732175260e-4932F128
+#define __cpp_structured_bindings 201606L
+#define __SIZEOF_INT__ 4
+#define __DEC32_MAX_EXP__ 97
+#define __INT_FAST8_MAX__ 0x7f
+#define __FLT128_MAX__ 1.18973149535723176508575932662800702e+4932F128
+#define __INTPTR_MAX__ 0x7fffffffffffffffL
+#define __cpp_sized_deallocation 201309L
+#define __cpp_guaranteed_copy_elision 201606L
+#define linux 1
+#define __FLT64_HAS_QUIET_NAN__ 1
+#define __FLT32_MIN_10_EXP__ (-37)
+#define __EXCEPTIONS 1
+#define __UINT16_C(c) c
+#define __PTRDIFF_WIDTH__ 64
+#define __LDBL_MANT_DIG__ 64
+#define __cpp_range_based_for 201603L
+#define __INT_FAST16_WIDTH__ 64
+#define __FLT64_HAS_INFINITY__ 1
+#define __FLT64X_MAX__ 1.18973149535723176502126385303097021e+4932F64x
+#define __FLT16_HAS_INFINITY__ 1
+#define __STDCPP_DEFAULT_NEW_ALIGNMENT__ 16
+#define __SIG_ATOMIC_MIN__ (-__SIG_ATOMIC_MAX__ - 1)
+#define __code_model_small__ 1
+#define __GCC_ATOMIC_LONG_LOCK_FREE 2
+#define __cpp_nontype_template_args 201411L
+#define __DEC32_MANT_DIG__ 7
+#define __k8__ 1
+#define __INTPTR_TYPE__ long int
+#define __UINT16_TYPE__ short unsigned int
+#define __WCHAR_TYPE__ int
+#define __pic__ 2
+#define __UINTPTR_MAX__ 0xffffffffffffffffUL
+#define __INT_FAST64_WIDTH__ 64
+#define __cpp_decltype 200707L
+#define __INT_FAST64_MAX__ 0x7fffffffffffffffL
+#define __GCC_ATOMIC_TEST_AND_SET_TRUEVAL 1
+#define __FLT_NORM_MAX__ 3.40282346638528859811704183484516925e+38F
+#define __FLT32_HAS_INFINITY__ 1
+#define __FLT64X_MAX_EXP__ 16384
+#define __UINT_FAST64_TYPE__ long unsigned int
+#define __cpp_inline_variables 201606L
+#define __BFLT16_MIN_EXP__ (-125)
+#define __INT_MAX__ 0x7fffffff
+#define __linux__ 1
+#define __INT64_TYPE__ long int
+#define __FLT_MAX_EXP__ 128
+#define __ORDER_BIG_ENDIAN__ 4321
+#define __DBL_MANT_DIG__ 53
+#define __cpp_inheriting_constructors 201511L
+#define __SIZEOF_FLOAT128__ 16
+#define __BFLT16_MANT_DIG__ 8
+#define __DEC64_MIN__ 1E-383DD
+#define __WINT_TYPE__ unsigned int
+#define __UINT_LEAST32_TYPE__ unsigned int
+#define __SIZEOF_SHORT__ 2
+#define __FLT32_NORM_MAX__ 3.40282346638528859811704183484516925e+38F32
+#define __SSE__ 1
+#define __LDBL_MIN_EXP__ (-16381)
+#define __FLT64_MAX__ 1.79769313486231570814527423731704357e+308F64
+#define __amd64__ 1
+#define __WINT_WIDTH__ 32
+#define __INT_LEAST64_WIDTH__ 64
+#define __FLT32X_MAX_10_EXP__ 308
+#define __cpp_namespace_attributes 201411L
+#define __SIZEOF_INT128__ 16
+#define __FLT16_MIN__ 6.10351562500000000000000000000000000e-5F16
+#define __FLT64X_IS_IEC_60559__ 1
+#define __LDBL_MAX_10_EXP__ 4932
+#define __ATOMIC_RELAXED 0
+#define __DBL_EPSILON__ double(2.22044604925031308084726333618164062e-16L)
+#define __INT_LEAST32_TYPE__ int
+#define _LP64 1
+#define __UINT8_C(c) c
+#define __FLT64_MAX_EXP__ 1024
+#define __SIZEOF_WCHAR_T__ 4
+#define __GNUC_PATCHLEVEL__ 0
+#define __FLT128_NORM_MAX__ 1.18973149535723176508575932662800702e+4932F128
+#define __FLT64_NORM_MAX__ 1.79769313486231570814527423731704357e+308F64
+#define __FLT128_HAS_QUIET_NAN__ 1
+#define __INTMAX_MAX__ 0x7fffffffffffffffL
+#define __INT_FAST8_TYPE__ signed char
+#define __FLT64X_MIN__ 3.36210314311209350626267781732175260e-4932F64x
+#define __STDCPP_THREADS__ 1
+#define __BFLT16_HAS_DENORM__ 1
+#define __GNUC_STDC_INLINE__ 1
+#define __FLT64_HAS_DENORM__ 1
+#define __FLT32_EPSILON__ 1.19209289550781250000000000000000000e-7F32
+#define __FLT16_HAS_DENORM__ 1
+#define __DBL_DECIMAL_DIG__ 17
+#define __STDC_UTF_32__ 1
+#define __INT_FAST8_WIDTH__ 8
+#define __FXSR__ 1
+#define __FLT32X_MAX__ 1.79769313486231570814527423731704357e+308F32x
+#define __DBL_NORM_MAX__ double(1.79769313486231570814527423731704357e+308L)
+#define __BYTE_ORDER__ __ORDER_LITTLE_ENDIAN__
+#define __GCC_DESTRUCTIVE_SIZE 64
+#define __INTMAX_WIDTH__ 64
+#define __cpp_runtime_arrays 198712L
+#define __FLT32_DIG__ 6
+#define __UINT64_TYPE__ long unsigned int
+#define __UINT32_C(c) c ## U
+#define __cpp_alias_templates 200704L
+#define __FLT_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F
+#define __FLT128_IS_IEC_60559__ 1
+#define __INT8_MAX__ 0x7f
+#define __LONG_WIDTH__ 64
+#define __DBL_MIN__ double(2.22507385850720138309023271733240406e-308L)
+#define __PIC__ 2
+#define __INT32_MAX__ 0x7fffffff
+#define __UINT_FAST32_TYPE__ long unsigned int
+#define __FLT16_MANT_DIG__ 11
+#define __FLT32X_NORM_MAX__ 1.79769313486231570814527423731704357e+308F32x
+#define __CHAR32_TYPE__ unsigned int
+#define __FLT_MAX__ 3.40282346638528859811704183484516925e+38F
+#define __SSE2__ 1
+#define __cpp_deduction_guides 201703L
+#define __BFLT16_NORM_MAX__ 3.38953138925153547590470800371487867e+38BF16
+#define __INT32_TYPE__ int
+#define __SIZEOF_DOUBLE__ 8
+#define __cpp_exceptions 199711L
+#define __FLT_MIN_10_EXP__ (-37)
+#define __FLT64_MIN__ 2.22507385850720138309023271733240406e-308F64
+#define __INT_LEAST32_WIDTH__ 32
+#define __INTMAX_TYPE__ long int
+#define __GLIBCXX_BITSIZE_INT_N_0 128
+#define __FLT32X_HAS_QUIET_NAN__ 1
+#define __ATOMIC_CONSUME 1
+#define __GNUC_MINOR__ 3
+#define __GLIBCXX_TYPE_INT_N_0 __int128
+#define __UINTMAX_MAX__ 0xffffffffffffffffUL
+#define __PIE__ 2
+#define __FLT32X_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F32x
+#define __cpp_template_template_args 201611L
+#define __DBL_MAX_10_EXP__ 308
+#define __LDBL_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951L
+#define __INT16_C(c) c
+#define __STDC__ 1
+#define __PTRDIFF_TYPE__ long int
+#define __FLT32X_MIN_10_EXP__ (-307)
+#define __UINTPTR_TYPE__ long unsigned int
+#define __DEC64_SUBNORMAL_MIN__ 0.000000000000001E-383DD
+#define __DEC128_MANT_DIG__ 34
+#define __LDBL_MIN_10_EXP__ (-4931)
+#define __cpp_generic_lambdas 201304L
+#define __SSE_MATH__ 1
+#define __SIZEOF_LONG_LONG__ 8
+#define __cpp_user_defined_literals 200809L
+#define __FLT128_DECIMAL_DIG__ 36
+#define __GCC_ATOMIC_LLONG_LOCK_FREE 2
+#define __FLT32_HAS_QUIET_NAN__ 1
+#define __FLT_DECIMAL_DIG__ 9
+#define __UINT_FAST16_MAX__ 0xffffffffffffffffUL
+#define __LDBL_NORM_MAX__ 1.18973149535723176502126385303097021e+4932L
+#define __GCC_ATOMIC_SHORT_LOCK_FREE 2
+#define __SIZE_MAX__ 0xffffffffffffffffUL
+#define __UINT_FAST8_TYPE__ unsigned char
+#define _GNU_SOURCE 1
+#define __cpp_init_captures 201304L
+#define __ATOMIC_ACQ_REL 4
+#define __ATOMIC_RELEASE 3

qrc_shaders.cpp

@@ -0,0 +1,327 @@
+/****************************************************************************
+** Resource object code
+**
+** Created by: The Resource Compiler for Qt version 5.15.13
+**
+** WARNING! All changes made in this file will be lost!
+*****************************************************************************/
+
+static const unsigned char qt_resource_data[] = {
+  // /home/bart/project/tiletest/shaders/simple.frag
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+  0x28,0x70,0x6f,0x73,0x69,0x74,0x69,0x6f,0x6e,0x2e,0x78,0x2c,0x70,0x6f,0x73,0x69,
+  0x74,0x69,0x6f,0x6e,0x2e,0x79,0x2c,0x30,0x2c,0x20,0x31,0x2e,0x30,0x29,0x3b,0xa,
+  0x20,0x20,0x66,0x72,0x61,0x67,0x54,0x65,0x78,0x43,0x6f,0x6f,0x72,0x64,0x20,0x3d,
+  0x20,0x76,0x65,0x63,0x32,0x28,0x74,0x65,0x78,0x70,0x2e,0x78,0x2f,0x32,0x2c,0x74,
+  0x65,0x78,0x70,0x2e,0x79,0x2f,0x32,0x29,0x3b,0xa,0x20,0x20,0x76,0x65,0x63,0x34,
+  0x20,0x74,0x70,0x6f,0x73,0x20,0x3d,0x20,0x6d,0x6f,0x64,0x65,0x6c,0x4d,0x61,0x74,
+  0x72,0x69,0x78,0x2a,0x76,0x65,0x63,0x34,0x28,0x70,0x6f,0x73,0x69,0x74,0x69,0x6f,
+  0x6e,0x2e,0x78,0x2c,0x70,0x6f,0x73,0x69,0x74,0x69,0x6f,0x6e,0x2e,0x79,0x2c,0x30,
+  0x2c,0x20,0x31,0x2e,0x30,0x29,0x3b,0xa,0x20,0x20,0x74,0x69,0x6c,0x65,0x50,0x6f,
+  0x73,0x20,0x3d,0x20,0x76,0x65,0x63,0x32,0x28,0x74,0x70,0x6f,0x73,0x2e,0x78,0x2c,
+  0x74,0x70,0x6f,0x73,0x2e,0x79,0x29,0x3b,0xa,0x20,0x20,0x2f,0x2f,0x76,0x43,0x6f,
+  0x6c,0x6f,0x72,0x20,0x3d,0x20,0x76,0x65,0x63,0x34,0x28,0x63,0x6f,0x6c,0x6f,0x72,
+  0x2c,0x20,0x31,0x2e,0x30,0x29,0x3b,0xa,0x20,0x20,0x76,0x65,0x63,0x34,0x20,0x76,
+  0x52,0x65,0x73,0x20,0x3d,0x20,0x76,0x65,0x63,0x34,0x28,0x69,0x6e,0x4e,0x6f,0x72,
+  0x6d,0x61,0x6c,0x2c,0x20,0x30,0x2e,0x30,0x29,0x3b,0xa,0x20,0x20,0x20,0x20,0x20,
+  0x76,0x4e,0x6f,0x72,0x6d,0x61,0x6c,0x20,0x3d,0x20,0x69,0x6e,0x4e,0x6f,0x72,0x6d,
+  0x61,0x6c,0x2e,0x78,0x79,0x7a,0x3b,0xa,0x20,0x20,0x66,0x72,0x61,0x67,0x56,0x65,
+  0x72,0x74,0x20,0x3d,0x20,0x70,0x6f,0x73,0x69,0x74,0x69,0x6f,0x6e,0x3b,0xa,0xa,
+  0x20,0x20,0x76,0x65,0x63,0x34,0x20,0x76,0x57,0x6f,0x72,0x6c,0x64,0x50,0x6f,0x73,
+  0x4c,0x6f,0x63,0x61,0x6c,0x20,0x3d,0x6d,0x6f,0x64,0x65,0x6c,0x4d,0x61,0x74,0x72,
+  0x69,0x78,0x2a,0x69,0x6e,0x50,0x6f,0x73,0x69,0x74,0x69,0x6f,0x6e,0x53,0x63,0x61,
+  0x6c,0x65,0x64,0x3b,0xa,0x20,0x20,0x76,0x57,0x6f,0x72,0x6c,0x64,0x50,0x6f,0x73,
+  0x20,0x3d,0x20,0x76,0x57,0x6f,0x72,0x6c,0x64,0x50,0x6f,0x73,0x4c,0x6f,0x63,0x61,
+  0x6c,0x2e,0x78,0x79,0x7a,0x3b,0xa,0x20,0x20,0x7a,0x5f,0x70,0x6f,0x73,0x3d,0x7a,
+  0x50,0x6f,0x73,0x3b,0xa,0x7d,0xa,0xa,
+  
+};
+
+static const unsigned char qt_resource_name[] = {
+  // shaders
+  0x0,0x7,
+  0x9,0xe7,0xac,0x73,
+  0x0,0x73,
+  0x0,0x68,0x0,0x61,0x0,0x64,0x0,0x65,0x0,0x72,0x0,0x73,
+    // simple.frag
+  0x0,0xb,
+  0x2,0xb0,0xd0,0x97,
+  0x0,0x73,
+  0x0,0x69,0x0,0x6d,0x0,0x70,0x0,0x6c,0x0,0x65,0x0,0x2e,0x0,0x66,0x0,0x72,0x0,0x61,0x0,0x67,
+    // simple.vert
+  0x0,0xb,
+  0x2,0xb1,0xc4,0x74,
+  0x0,0x73,
+  0x0,0x69,0x0,0x6d,0x0,0x70,0x0,0x6c,0x0,0x65,0x0,0x2e,0x0,0x76,0x0,0x65,0x0,0x72,0x0,0x74,
+  
+};
+
+static const unsigned char qt_resource_struct[] = {
+  // :
+  0x0,0x0,0x0,0x0,0x0,0x2,0x0,0x0,0x0,0x1,0x0,0x0,0x0,0x1,
+0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
+  // :/shaders
+  0x0,0x0,0x0,0x0,0x0,0x2,0x0,0x0,0x0,0x2,0x0,0x0,0x0,0x2,
+0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
+  // :/shaders/simple.frag
+  0x0,0x0,0x0,0x14,0x0,0x0,0x0,0x0,0x0,0x1,0x0,0x0,0x0,0x0,
+0x0,0x0,0x1,0x70,0x12,0x77,0x25,0xb5,
+  // :/shaders/simple.vert
+  0x0,0x0,0x0,0x30,0x0,0x0,0x0,0x0,0x0,0x1,0x0,0x0,0xa,0x33,
+0x0,0x0,0x1,0x70,0x12,0x77,0x25,0x9d,
+
+};
+
+#ifdef QT_NAMESPACE
+#  define QT_RCC_PREPEND_NAMESPACE(name) ::QT_NAMESPACE::name
+#  define QT_RCC_MANGLE_NAMESPACE0(x) x
+#  define QT_RCC_MANGLE_NAMESPACE1(a, b) a##_##b
+#  define QT_RCC_MANGLE_NAMESPACE2(a, b) QT_RCC_MANGLE_NAMESPACE1(a,b)
+#  define QT_RCC_MANGLE_NAMESPACE(name) QT_RCC_MANGLE_NAMESPACE2( \
+        QT_RCC_MANGLE_NAMESPACE0(name), QT_RCC_MANGLE_NAMESPACE0(QT_NAMESPACE))
+#else
+#   define QT_RCC_PREPEND_NAMESPACE(name) name
+#   define QT_RCC_MANGLE_NAMESPACE(name) name
+#endif
+
+#ifdef QT_NAMESPACE
+namespace QT_NAMESPACE {
+#endif
+
+bool qRegisterResourceData(int, const unsigned char *, const unsigned char *, const unsigned char *);
+bool qUnregisterResourceData(int, const unsigned char *, const unsigned char *, const unsigned char *);
+
+#ifdef QT_NAMESPACE
+}
+#endif
+
+int QT_RCC_MANGLE_NAMESPACE(qInitResources_shaders)();
+int QT_RCC_MANGLE_NAMESPACE(qInitResources_shaders)()
+{
+    int version = 3;
+    QT_RCC_PREPEND_NAMESPACE(qRegisterResourceData)
+        (version, qt_resource_struct, qt_resource_name, qt_resource_data);
+    return 1;
+}
+
+int QT_RCC_MANGLE_NAMESPACE(qCleanupResources_shaders)();
+int QT_RCC_MANGLE_NAMESPACE(qCleanupResources_shaders)()
+{
+    int version = 3;
+    QT_RCC_PREPEND_NAMESPACE(qUnregisterResourceData)
+       (version, qt_resource_struct, qt_resource_name, qt_resource_data);
+    return 1;
+}
+
+namespace {
+   struct initializer {
+       initializer() { QT_RCC_MANGLE_NAMESPACE(qInitResources_shaders)(); }
+       ~initializer() { QT_RCC_MANGLE_NAMESPACE(qCleanupResources_shaders)(); }
+   } dummy;
+}

qscenerenderer.cpp

@@ -0,0 +1,180 @@
+#include "qscenerenderer.h"
+#include <algorithm>
+
+
+
+GLuint vertexbuffer;
+  GLuint VertexArrayID;
+QSceneRenderer::QSceneRenderer(QWidget* parent): QOpenGLWidget(parent)
+{
+    setFocusPolicy(Qt::FocusPolicy::StrongFocus);
+    installEventFilter(this);
+    QImage img = QImage("/home/bart/project/tiletest/images/heightmap.jpg").convertToFormat(QImage::Format_RGB32);
+    m_zoom = 4;
+    m_point = new Matrix2D<TerrainPoint>(img.width(),img.height());
+    m_numPoints05= img.width()/MAP_WIDTH/1.5/2;
+    for (int y = 0; y<img.height(); y++) {
+        QRgb *line = (QRgb *) img.scanLine(img.height() - 1 - y);
+        TerrainPoint *row = m_point->row(y);
+        for (int x = 0; x<img.width(); x++) {
+            row[x].height = qRed(line[x]);
+        }
+    }
+
+    cameraUpDirection = cameraTransformation * QVector3D(0, 1, 0);
+    cameraTransformation.rotate(zRot, 0, 0, 1);
+    cameraPosition = cameraTransformation * QVector3D(5, 5, 5);
+/*
+    for (int y=0; y<getNumPointsHeight(); y++)
+        for (int x=0; x<getNumPointsWidth(); x++){
+
+            m_point->operator ()(x,y).height = abs((x*10%200)-100);
+        }*/
+
+    tiles=new Matrix2D<Tile>(MAP_WIDTH,MAP_HEIGHT);
+}
+
+Tile * QSceneRenderer::getTile(int x, int y)
+{
+    return &tiles->operator ()(x,y);
+}
+
+void QSceneRenderer::mousePressEvent(QMouseEvent *event)
+{
+     lastPos = event->pos();
+}
+
+void QSceneRenderer::mouseMoveEvent(QMouseEvent *event)
+{
+    /*int dx = event->x() - lastPos.x();
+    int dy = event->y() - lastPos.y();
+
+    if (event->buttons() & Qt::LeftButton) {
+        zRot +=  8 * dx;
+    } else if (event->buttons() & Qt::RightButton) {
+        zRot -=  8 * dx;
+    }
+   lastPos = event->pos();
+   update();*/
+
+}
+
+void QSceneRenderer::keyPressEvent(QKeyEvent *e)
+{
+    if (e->key()== Qt::Key_A) {
+        cameraPosition.setX(cameraPosition.x()+ 0.1f*cos(PI*(zRot+90)/180.0f));
+        cameraPosition.setY(cameraPosition.y()+ 0.1f*sin(PI*(zRot+90)/180.0f));
+    }
+    else if (e->key()== Qt::Key_D) {
+        cameraPosition.setX(cameraPosition.x()+ 0.1f*cos(PI*(zRot-90)/180.0f));
+        cameraPosition.setY(cameraPosition.y()+ 0.1f*sin(PI*(zRot-90)/180.0f));
+    }
+
+    if (e->key()== Qt::Key_W) {
+        cameraPosition.setX(cameraPosition.x()+ 0.1f*cos(PI*(zRot+0)/180.0f));
+        cameraPosition.setY(cameraPosition.y()+ 0.1f*sin(PI*(zRot+0)/180.0f));
+    }
+    else if (e->key()== Qt::Key_S) {
+        cameraPosition.setX(cameraPosition.x()+ 0.1f*cos(PI*(zRot+180)/180.0f));
+        cameraPosition.setY(cameraPosition.y()+ 0.1f*sin(PI*(zRot+180)/180.0f));
+    }
+    else if (e->key()== Qt::Key_E) {
+        zRot --;
+        if (zRot<0.0)
+            zRot+=360.0;
+    }
+    else if (e->key()== Qt::Key_Q) {
+        zRot ++;
+        if (zRot>=360.0)
+            zRot-=360.0;
+    }
+    update();
+}
+
+void QSceneRenderer::wheelEvent(QWheelEvent *e)
+{
+    m_zoom -= e->delta()/100.0;
+    if (m_zoom<2) m_zoom =2;
+    if (m_zoom>10)m_zoom =10;
+    update();
+}
+
+void QSceneRenderer::initializeGL()
+{
+    glEnable(GL_DEPTH_TEST);
+    glDepthFunc(GL_LESS);
+}
+
+void QSceneRenderer::resizeGL(int width, int height)
+{
+    Projection= QMatrix4x4();
+    Projection.perspective(45, (float) width / (float)height,0.1f,100.0f);
+
+
+}
+
+void QSceneRenderer::paintGL()
+{
+    glEnable(GL_DEPTH_TEST);
+    QMatrix4x4 cameraTransformation;
+    QMatrix4x4 vMatrix;
+
+    cameraTransformation.rotate(zRot, 0, 0, 1);
+    cameraUpDirection = cameraTransformation * QVector3D(0, 0, 1);
+    cameraPosition.setZ(m_zoom);
+
+    QVector3D lookat = QVector3D(cameraPosition.x()+ m_zoom*m_zoom/5.0f*cos(PI*zRot/180.0f)
+      ,  cameraPosition.y()+ m_zoom*m_zoom/5.0f*sin(PI*zRot/180.0f)
+      ,0);
+    vMatrix.lookAt(cameraPosition, lookat, cameraUpDirection);
+
+    glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
+
+    // Bounding box of the visible area in world coordinates
+    float minWorldX = std::min(cameraPosition.x(), lookat.x());
+    float maxWorldX = std::max(cameraPosition.x(), lookat.x());
+    float minWorldY = std::min(cameraPosition.y(), lookat.y());
+    float maxWorldY = std::max(cameraPosition.y(), lookat.y());
+
+    float margin = m_zoom * 2.5f + 8.0f;
+    minWorldX -= margin;
+    maxWorldX += margin;
+    minWorldY -= margin;
+    maxWorldY += margin;
+
+    float tileStepX = LOD_0_SIZE * 0.75f;
+    float tileStepY = LOD_0_SIZE_Y * 2.0f;
+
+    int minTileX = std::max(0, (int)floor(minWorldX / tileStepX));
+    int maxTileX = std::min(MAP_WIDTH - 1, (int)ceil(maxWorldX / tileStepX));
+    int minTileY = std::max(0, (int)floor(minWorldY / tileStepY));
+    int maxTileY = std::min(MAP_HEIGHT - 1, (int)ceil(maxWorldY / tileStepY));
+
+    // Expand margin by 1 for neighbor normal calculations
+    int initMinX = std::max(0, minTileX - 1);
+    int initMaxX = std::min(MAP_WIDTH - 1, maxTileX + 1);
+    int initMinY = std::max(0, minTileY - 1);
+    int initMaxY = std::min(MAP_HEIGHT - 1, maxTileY + 1);
+
+    // 1. Lazy initialize visible tiles and direct neighbors
+    for (int y = initMinY; y <= initMaxY; ++y) {
+        for (int x = initMinX; x <= initMaxX; ++x) {
+            tiles->operator()(x, y).ensureInitialized(this, x, y);
+        }
+    }
+
+    // 2. Ensure normals are built for visible tiles
+    for (int y = minTileY; y <= maxTileY; ++y) {
+        for (int x = minTileX; x <= maxTileX; ++x) {
+            tiles->operator()(x, y).ensureNormalsBuilt();
+        }
+    }
+
+    // 3. Render only visible tiles
+    for (int y = minTileY; y <= maxTileY; ++y) {
+        for (int x = minTileX; x <= maxTileX; ++x) {
+            tiles->operator()(x, y).paint(Projection, cameraPosition, cameraUpDirection, vMatrix, zRot);
+        }
+    }
+
+}

qscenerenderer.h

@@ -0,0 +1,51 @@
+#ifndef QSCENERENDERER_H
+#define QSCENERENDERER_H
+
+#include <cmath>
+#include <qopenglwidget.h>
+#include <QOpenGLFunctions_4_0_Core>
+#include "terrain.h"
+#include "tile.h"
+#include <QMouseEvent>
+#include <vector>
+#include "matrix2d.h"
+
+
+class QSceneRenderer : public  QOpenGLWidget
+{
+public:
+    QSceneRenderer(QWidget* parent = Q_NULLPTR) ;
+    inline Matrix2D<TerrainPoint> * getMapPoints() {return m_point;}
+    inline int getNumPointsWidth()  const {return m_numPointsWidth;}
+    inline int getNumPointsHeight() const {return m_numPointsHeight;}
+    inline int getNumPoints05() const {return m_numPoints05;}
+
+    Tile * getTile(int x, int y);
+protected:
+    void mousePressEvent(QMouseEvent *event);
+    void mouseMoveEvent(QMouseEvent *event);
+    void keyPressEvent(QKeyEvent * e);
+    void wheelEvent(QWheelEvent * e);
+    void initializeGL();
+    void resizeGL(int w, int h);
+    void paintGL();
+
+    float m_camera_x =10.0;
+    float  m_camera_y=0.0;
+    QMatrix4x4 Projection;
+    QMatrix4x4 cameraTransformation;
+    QVector3D cameraPosition;
+    QVector3D cameraUpDirection;
+
+
+    Matrix2D<TerrainPoint> * m_point;
+    Matrix2D<Tile> * tiles;
+    QPoint lastPos;
+    float zRot=0;
+    float m_numPointsWidth;
+    float m_numPointsHeight;
+    int m_numPoints05;
+    float m_zoom;
+};
+
+#endif // QSCENERENDERER_H

shaders.qrc

@@ -0,0 +1,6 @@
+<RCC>
+    <qresource prefix="/shaders">
+        <file alias="simple.vert">shaders/simple.vert</file>
+        <file alias="simple.frag">shaders/simple.frag</file>
+    </qresource>
+</RCC>

shaders/simple.frag

@@ -0,0 +1,77 @@
+#version 400
+uniform sampler2D tex; //this is the texture
+uniform sampler2D border; //this is the texture
+uniform sampler2D rock; //this is the texture
+smooth in vec3 vNormal;
+smooth in vec3 vWorldPos;
+in vec3 fragVert;
+in float z_pos;
+uniform vec3 cameraPosition;
+
+uniform mat4 modelMatrix;
+in vec2 tilePos;
+in vec2 fragTexCoord; //this is the texture coord
+out vec4 finalColor; //this is the output color of the pixel
+
+
+
+
+struct SimpleDirectionalLight
+{
+   vec3 vColor;
+   vec3 vDirection;
+   float fAmbientIntensity;
+};
+
+
+
+uniform SimpleDirectionalLight sunLight;
+
+vec4 GetDirectionalLightColor(SimpleDirectionalLight dirLight, vec3 vNormal)
+{
+        float fDiffuseIntensity =  dot(vNormal, -dirLight.vDirection);
+        float fMult = pow(dirLight.fAmbientIntensity+fDiffuseIntensity,1.0);//clamp(dirLight.fAmbientIntensity+fDiffuseIntensity, -1.0, 1.0);
+  // if(dirLight.iSkybox == 1)fMult = dirLight.fAmbientIntensity;
+        return vec4(dirLight.vColor*fMult, 1.0);
+}
+
+vec4 GetSpecularColor(vec3 vWorldPos, vec3 vEyePos,  SimpleDirectionalLight dLight, vec3 vNormal)
+{
+   vec4 vResult = vec4(0.0, 0.0, 0.0, 0.0);
+
+   vec3 vReflectedVector = normalize(reflect(dLight.vDirection, vNormal));
+   vec3 vVertexToEyeVector = normalize(vEyePos-vWorldPos);
+   float fSpecularFactor = dot(vVertexToEyeVector, vReflectedVector);
+
+   if (fSpecularFactor > 0)
+   {
+      fSpecularFactor = pow(fSpecularFactor, 1.0);
+      vResult = vec4(dLight.vColor, 1.0) * 1.0 * fSpecularFactor;
+   }
+
+   return vResult;
+}
+
+void main() {
+
+    vec3 surfaceToLight = normalize(sunLight.vDirection);
+    vec3 surfacePos = vec3(modelMatrix * vec4(fragVert, 1));
+    vec3 surfaceToCamera = normalize(cameraPosition - surfacePos);
+    vec4 bcolor = texture(border, vec2(tilePos.x,tilePos.y*1.154734411));
+    float fDiffuseIntensity = max(0.0, dot(normalize(vNormal), -sunLight.vDirection));
+
+    float addval = bcolor.a;
+    vec4 vSpecularColor = GetSpecularColor(vWorldPos, cameraPosition, sunLight, normalize(vNormal))+ GetDirectionalLightColor(sunLight,normalize(vNormal));
+    vec4 ground = texture(tex, fragTexCoord);
+    vec4 rockt = texture(rock, fragTexCoord);
+
+    float gndfac = 1.0;
+    if (z_pos>0.3)
+         gndfac = 0.0;
+    else if (z_pos>0.1)
+        gndfac=1.0 - 1.0 / 0.2 * (z_pos-0.1) ;
+    finalColor = (ground *gndfac+rockt *(1.0-gndfac) +bcolor*addval) * vSpecularColor; //texture(tex, fragTexCoord) * pow(max(0.0, dot(surfaceToCamera, reflect(-surfaceToLight, normal))), 0.5);
+
+    // (texture(tex, fragTexCoord)+bcolor*addval)*vec4(sunLight.vColor*(sunLight.fAmbientIntensity+fDiffuseIntensity), 1.0);
+
+}

shaders/simple.vert

@@ -0,0 +1,41 @@
+#version 400
+uniform mat4 camera;
+uniform mat4 modelViewMatrix;
+uniform mat4 projectionMatrix;
+
+uniform mat4 normalMatrix;
+uniform mat4 modelMatrix;
+
+layout(location = 0) in vec3 position;
+layout(location = 1) in vec2 inCoord;
+
+layout (location = 2) in float zPos;
+layout (location =3) in vec3 inNormal;
+
+//in float height;
+out vec2 fragTexCoord;
+out vec2 tilePos;
+out vec3 fragVert;
+smooth out vec3 vWorldPos;
+uniform mat4 MVP;
+smooth out vec3 vNormal;
+out float z_pos;
+void main()
+{
+
+vec4 inPositionScaled = vec4(position, 1.0);
+  gl_Position = MVP *vec4(position.x,position.y,zPos, 1.0);
+  vec4 texp= modelViewMatrix *vec4(position.x,position.y,0, 1.0);
+  fragTexCoord = vec2(texp.x/2,texp.y/2);
+  vec4 tpos = modelMatrix*vec4(position.x,position.y,0, 1.0);
+  tilePos = vec2(tpos.x,tpos.y);
+  //vColor = vec4(color, 1.0);
+  vec4 vRes = vec4(inNormal, 0.0);
+     vNormal = inNormal.xyz;
+  fragVert = position;
+
+  vec4 vWorldPosLocal =modelMatrix*inPositionScaled;
+  vWorldPos = vWorldPosLocal.xyz;
+  z_pos=zPos;
+}
+

terrain.h

@@ -0,0 +1,28 @@
+#ifndef TERRAIN_H
+#define TERRAIN_H
+
+#define MAP_WIDTH 300
+#define MAP_HEIGHT 125
+#define NUM_TRIANGLES_0 6
+#define NUM_TRIANGLES_SUB 4
+#define NUM_TRIANGLE_VERTICES 3
+#define LOD_0_SIZE 1.0f
+#define LOD_0_SIZE_Y 0.4328799197461722f
+//#define LOD_0_S 0.75f
+
+//#define NUM_POINTS_05f 10
+
+//#define NUM_POINTS_WIDTH (NUM_POINTS_05f  * 3 * MAP_WIDTH*2)
+
+//#define NUM_POINTS_HEIGHT (NUM_POINTS_05f * MAP_HEIGHT)
+
+#define NUM_TRIANGLES  NUM_TRIANGLES_0*NUM_TRIANGLES_SUB * NUM_TRIANGLES_SUB
+
+#define PI 3.14159265359f
+
+struct TerrainPoint {
+    char height;
+
+};
+
+#endif // TERRAIN_H

tile.cpp

@@ -0,0 +1,388 @@
+#include "tile.h"
+#include "matrix2d.h"
+#include <math.h>
+#include "qscenerenderer.h"
+#include <QVector3D>
+QImage * Tile::m_image = NULL;
+QOpenGLTexture * Tile::m_texture = NULL;
+QImage * Tile::m_image_border = NULL;
+QOpenGLTexture * Tile::m_texture_border = NULL;
+QOpenGLTexture * Tile::m_texture_rock = NULL;
+QImage * Tile::m_image_rock = NULL;
+
+Vertex * Tile::m_vertices= NULL;
+ int Tile::m_numVertex;
+
+ QOpenGLBuffer Tile::m_vertex=QOpenGLBuffer();
+ QOpenGLVertexArrayObject Tile::m_object;
+ QOpenGLShaderProgram *Tile::m_program= NULL;
+
+
+Tile::Tile()
+    : m_scene(NULL), m_tilevertices(NULL), m_x(0), m_y(0),
+      m_startpoint_x(0.0f), m_startpoint_y(0.0f),
+      m_initialized(false), m_normalsBuilt(false)
+{
+
+}
+
+void Tile::ensureInitialized(QSceneRenderer* s, int x, int y)
+{
+    if (!m_initialized) {
+        init(s, x, y);
+    }
+}
+
+void Tile::ensureNormalsBuilt()
+{
+    if (!m_normalsBuilt && m_initialized) {
+        buildNormals();
+        m_normalsBuilt = true;
+    }
+}
+
+void Tile::init(QSceneRenderer* s, int x, int y)
+{
+    m_x = x;
+    m_y = y;
+    m_scene = s;
+
+    //m_x*LOD_0_SIZE *1.5+ (m_y%2==1 ?( LOD_0_SIZE*1.5f)/2.0f:0),m_y*LOD_0_SIZE/2.0f,1.0f)
+
+   // m_startpoint_x =( m_scene->getNumPoints05()*3*x)+ (y%2==1? (m_scene->getNumPoints05()*1.5):0);
+    //m_startpoint_y = m_scene->getNumPoints05()*y;
+
+    m_startpoint_x =( m_scene->getNumPoints05()*1.5f*x) ;
+    m_startpoint_y = m_scene->getNumPoints05()*y*2.0f + (x%2==1? (m_scene->getNumPoints05()):0) ;
+
+    bool first = false;
+    if (m_vertices==NULL){
+    buildVertices();first=true;
+    }
+
+    buildHeights();
+
+    if (Tile::m_image == NULL)
+        Tile::m_image = new QImage("/home/bart/project/tiletest/images/grass.jpg");
+    if (Tile::m_image_border == NULL)
+        Tile::m_image_border = new QImage("/home/bart/project/tiletest/images/border.png");
+    if (Tile::m_image_rock == NULL)
+        Tile::m_image_rock = new QImage("/home/bart/project/tiletest/images/rock.jpg");
+
+            if (Tile::m_texture_rock == NULL) {
+                m_texture_rock = new QOpenGLTexture(*m_image_rock);
+                m_texture_rock->setWrapMode(QOpenGLTexture::Repeat);
+                m_texture_rock->setMinificationFilter(QOpenGLTexture::NearestMipMapNearest);
+                m_texture_rock->setMagnificationFilter(QOpenGLTexture::Nearest);
+                //m_texture->setFormat(QOpenGLTexture::RGB32F);33
+                m_texture_rock->allocateStorage();
+            }
+    if (Tile::m_texture_border == NULL) {
+        m_texture_border = new QOpenGLTexture(*m_image_border);
+        m_texture_border->setWrapMode(QOpenGLTexture::Repeat);
+        m_texture_border->setMinificationFilter(QOpenGLTexture::NearestMipMapNearest);
+        m_texture_border->setMagnificationFilter(QOpenGLTexture::Nearest);
+        //m_texture->setFormat(QOpenGLTexture::RGB32F);33
+        m_texture_border->allocateStorage();
+    }
+    if (Tile::m_texture == NULL) {
+        m_texture = new QOpenGLTexture(*m_image);
+        m_texture->setWrapMode(QOpenGLTexture::Repeat);
+        m_texture->setMinificationFilter(QOpenGLTexture::NearestMipMapNearest);
+        m_texture->setMagnificationFilter(QOpenGLTexture::Nearest);
+        //m_texture->setFormat(QOpenGLTexture::RGB32F);
+        m_texture->allocateStorage();
+    }
+
+    if (first){
+        m_program = new QOpenGLShaderProgram();
+        m_program->addShaderFromSourceFile(QOpenGLShader::Vertex, "/home/bart/project/tiletest/shaders/simple.vert");
+        m_program->addShaderFromSourceFile(QOpenGLShader::Fragment, "/home/bart/project/tiletest/shaders/simple.frag");
+        m_program->link();
+    }
+    m_program->bind();
+    // Generate 1 buffer, put the resulting identifier in vertexbuffer
+    // Create Buffer (Do not release until VAO is created)
+    if (first) {
+        m_vertex.create();
+    m_vertex.bind();
+    m_vertex.setUsagePattern(QOpenGLBuffer::StaticDraw);
+    m_vertex.allocate(m_vertices, sizeof(Vertex) * (m_numVertex+1));
+
+
+
+    // Create Vertex Array Object
+    m_object.create();
+    m_object.bind();
+    m_program->enableAttributeArray(0);
+    m_program->enableAttributeArray(1);
+
+    m_program->setAttributeBuffer(0, GL_FLOAT, Vertex::positionOffset(), Vertex::PositionTupleSize, Vertex::stride());
+    m_program->setAttributeBuffer(1, GL_FLOAT, Vertex::colorOffset(), Vertex::ColorTupleSize, Vertex::stride());
+
+
+
+    // Release (unbind) all
+    m_object.release();
+    m_vertex.release();
+    m_program->release();
+
+}
+
+    m_initialized = true;
+}
+
+void Tile::paint(QMatrix4x4 p, QVector3D& cameraPosition,QVector3D& cameraUpDirection,QMatrix4x4& vMatrix, float zRot)
+{
+    if (!m_initialized) return;
+
+
+    QMatrix4x4 mModelToCamera;
+    QMatrix4x4 rMatrix;
+    QMatrix4x4 mMatrix;
+
+    float fSunAngle = 45.0;
+
+
+    QVector3D vSunPos(-sin(fSunAngle*PI/180.0f), -cos(fSunAngle*PI/180.0f), 0.0);
+
+    glActiveTexture(GL_TEXTURE0);
+
+    //mMatrix.translate(m_x*LOD_0_SIZE *1.5+ (m_y%2==1 ?( LOD_0_SIZE*1.5f)/2.0f:0),m_y*LOD_0_SIZE/2.0f,1.0f);
+    mMatrix.translate(m_x*(LOD_0_SIZE*0.75) ,(m_y*(LOD_0_SIZE_Y*2)+(m_x%2==0?0:LOD_0_SIZE_Y)) ,1.0f);
+
+    m_texture->bind(0);
+    m_texture_border->bind(1);
+    m_texture_rock->bind(2);
+    // Render using our shader
+    m_program->bind();
+
+    m_heightsbuffer.create();
+    m_heightsbuffer.bind();
+    m_heightsbuffer.setUsagePattern(QOpenGLBuffer::StaticDraw);
+    m_heightsbuffer.allocate(m_tilevertices, sizeof(TileVertexInfo) * (m_numVertex+1));
+
+    { vSunPos.normalize();
+        float fSign = -1.0f; // This just returns -1.0f or 1.0f (try to examine this)
+        m_program->setUniformValue("sunLight.vColor", QVector3D(1.0f, 1.0f, 1.0f));
+        m_program->setUniformValue("sunLight.fAmbientIntensity",0.8f);
+        m_program->setUniformValue("sunLight.vDirection", vSunPos);
+        QVector3D vPos = QVector3D(fSign*15.0f, 0.0f, 50.0f-float(0)*25.0f);
+        vPos.setZ(vPos.z()+1.0f);
+        mModelToCamera =vMatrix *  mMatrix.inverted().transposed();//QMatrix4x4();// vPos.translate(1.0f);
+
+        //mModelToCamera.scale(0.8);
+
+
+        m_program->setUniformValue("grass", 0);
+        m_program->setUniformValue("border", 1);
+         m_program->setUniformValue("rock", 2);
+        m_object.bind();
+
+        m_heightsbuffer.bind();
+        m_program->enableAttributeArray(2);
+        m_program->setAttributeBuffer(2, GL_FLOAT,TileVertexInfo::heightOffset(),TileVertexInfo::HeightTupleSize, TileVertexInfo::stride());
+        m_program->enableAttributeArray(3);
+        m_program->setAttributeBuffer(3, GL_FLOAT,TileVertexInfo::normalOffset(),TileVertexInfo::NormalTupleSize, TileVertexInfo::stride());
+
+        m_heightsbuffer.release();
+
+
+
+rMatrix.translate(0.5f,LOD_0_SIZE_Y,0);
+
+m_program->setUniformValue("cameraPosition", cameraPosition);
+        //mModelToCamera =vMatrix *  mMatrix.inverted().transposed();//QMatrix4x4();// vPos.translate(1.0f);
+        m_program->setUniformValue("normalMatrix", mModelToCamera);
+        m_program->setUniformValue("modelMatrix",   rMatrix);
+        m_program->setUniformValue("modelViewMatrix",  vMatrix * mMatrix);
+        m_program->setUniformValue("MVP", p *  vMatrix * mMatrix);
+        glDrawArrays(GL_TRIANGLES, 0, NUM_TRIANGLES*NUM_TRIANGLE_VERTICES);
+
+
+
+        m_object.release();
+
+
+    }m_heightsbuffer.destroy();
+    m_program->release();
+}
+
+void Tile::buildVertices()
+{
+    m_numVertex= NUM_TRIANGLES*NUM_TRIANGLE_VERTICES;
+    m_vertices = new Vertex[m_numVertex];
+    int cnt =0;
+
+
+    for (int i = 0; i< NUM_TRIANGLES_0; i++) {
+
+        addTriangleVertices(cnt
+            , QVector2D( 0.0f,  0.0f)
+            , QVector2D( 0.5f*cos(PI*60.0f*i/180.0f)*-1.0f   ,  0.5f*sin(PI*60.0f*i/180.0f))//, QVector2D(-LOD_0_SIZE/2.0f   ,  0.0f ) )
+            , QVector2D( 0.5f*cos(PI*60.0f*(i+1)/180.0f)*-1.0f   ,  0.5f*sin(PI*60.0f*(i+1)/180.0f))//, QVector2D(-LOD_0_SIZE/4.0f   ,  LOD_0_SIZE/2.0f) )
+            //, QVector2D(0.0f     ,  0.0f ) )
+            , 1 , 0, 0    );
+    }
+
+}
+
+
+
+void Tile::addTriangleVertices(int &cnt, QVector2D t1, QVector2D t2, QVector2D t3,int level, int hex, int l1)
+{
+    if (level>0) {
+        level--;
+        addTriangleVertices(cnt
+            , QVector2D( t1.x(), t1.y())//, QVector2D(0,0) )
+            , QVector2D( (t1.x()+t2.x())/2.0f,  (t1.y()+t2.y())/2.0f )//, QVector2D(0,0) )
+            , QVector2D( (t1.x()+t3.x())/2.0f , (t1.y()+t3.y())/2.0f )//, QVector2D(0,0) )
+            , level, hex, 0
+        );
+
+        addTriangleVertices(cnt
+            , QVector2D( (t1.x()+t2.x())/2.0f,  (t1.y()+t2.y())/2.0f)//, QVector2D(0,0) )
+            , QVector2D( (t2.x()+t3.x())/2.0f,  (t2.y()+t3.y())/2.0f)//, QVector2D(0,0) )
+            , QVector2D( (t1.x()+t3.x())/2.0f , (t1.y()+t3.y())/2.0f )//, QVector2D(0,0) )
+                                , level, hex, 1
+        );
+
+        addTriangleVertices(cnt
+            , QVector2D( (t1.x()+t2.x())/2.0f,  (t1.y()+t2.y())/2.0f )//, QVector2D(0,0) )
+            , QVector2D( t2.x(), t2.y() )//, t1.texturepos()*0.7f )
+            , QVector2D( (t2.x()+t3.x())/2.0f,  (t2.y()+t3.y())/2.0f)//,QVector2D(0,0) )
+                                , level, hex, 2
+        );
+
+        addTriangleVertices(cnt
+            , QVector2D( (t1.x()+t3.x())/2.0f , (t1.y()+t3.y())/2.0f )//,QVector2D(0,0) )
+            , QVector2D( (t2.x()+t3.x())/2.0f,  (t2.y()+t3.y())/2.0f )//, QVector2D(0,0) )
+            , QVector2D( t3.x(), t3.y() )//, t1.texturepos())
+                                , level, hex, 3
+        );
+    }
+    else {
+        drawSubTriangleVertices(cnt
+            , QVector2D( t1.x(), t1.y())//, QVector2D(0,0) )
+            , QVector2D( (t1.x()+t2.x())/2.0f,  (t1.y()+t2.y())/2.0f )//, QVector2D(0,0) )
+            , QVector2D( (t1.x()+t3.x())/2.0f , (t1.y()+t3.y())/2.0f )//, QVector2D(0,0) )
+            , hex, l1,0
+        );
+
+        drawSubTriangleVertices(cnt
+            , QVector2D( (t1.x()+t2.x())/2.0f,  (t1.y()+t2.y())/2.0f)//, QVector2D(0,0) )
+            , QVector2D( (t2.x()+t3.x())/2.0f,  (t2.y()+t3.y())/2.0f)//, QVector2D(0,0) )
+            , QVector2D( (t1.x()+t3.x())/2.0f , (t1.y()+t3.y())/2.0f )//, QVector2D(0,0) )
+                                , hex, l1,1
+        );
+
+        drawSubTriangleVertices(cnt
+            , QVector2D( (t1.x()+t2.x())/2.0f,  (t1.y()+t2.y())/2.0f )//, QVector2D(0,0) )
+            , QVector2D( t2.x(), t2.y() )//, t1.texturepos()*0.7f )
+            , QVector2D( (t2.x()+t3.x())/2.0f,  (t2.y()+t3.y())/2.0f)//,QVector2D(0,0) )
+                                , hex, l1,2
+        );
+
+        drawSubTriangleVertices(cnt
+            , QVector2D( (t1.x()+t3.x())/2.0f , (t1.y()+t3.y())/2.0f )//,QVector2D(0,0) )
+            , QVector2D( (t2.x()+t3.x())/2.0f,  (t2.y()+t3.y())/2.0f )//, QVector2D(0,0) )
+            , QVector2D( t3.x(), t3.y() )//, t1.texturepos())
+                                , hex, l1,3
+        );
+    }
+
+}
+
+void Tile::drawSubTriangleVertices(int &cnt, QVector2D t1, QVector2D t2, QVector2D t3, int hex, int l1, int l2)
+{
+
+        m_vertices[cnt++] = Vertex( t1
+                                    , QVector2D(t1.x()+LOD_0_SIZE/2.0f,t1.y()+LOD_0_SIZE/2.0f)
+
+                );
+        m_vertices[cnt++] = Vertex( t2
+                                    , QVector2D(t2.x()+LOD_0_SIZE/2.0f,t2.y()+LOD_0_SIZE/2.0f)
+
+                );
+        m_vertices[cnt++] = Vertex( t3
+                                    , QVector2D(t3.x()+LOD_0_SIZE/2.0f,t3.y()+LOD_0_SIZE/2.0f)
+
+                );
+
+
+}
+
+
+
+void Tile::buildHeights() {
+    m_tilevertices = new TileVertexInfo[m_numVertex];
+    Matrix2D<TerrainPoint> * points = Tile::m_scene->getMapPoints();
+    for (int i = 0; i< m_numVertex; i++) {
+
+        /*float x=m_vertices[i].position().x();
+        int xpos = m_vertices[i].position().x()*(m_scene->getNumPoints05()*2);
+        int mappos=(int) round( m_startpoint_x+ ( m_vertices[i].position().x())*(m_scene->getNumPoints05()*2));
+        int res = (int) round( m_startpoint_x+ ( m_vertices[i].position().x())*(m_scene->getNumPoints05()*2));*/
+        float r = points->operator ()( (int) round( m_startpoint_x+ ( m_vertices[i].position().x())*(m_scene->getNumPoints05()*2.0f))
+                                       ,(int) round( m_startpoint_y+ ( m_vertices[i].position().y())*(m_scene->getNumPoints05()*2.0f))).height /255.0f;
+        //m_heights[i] = 1r;
+        m_tilevertices[i].setHeight(r);
+        //m_tilevertices[i].setNormal(QVector3D(rand()%20/10.0f-1.0,rand()%20/10.0f-1.0,rand()%20/10.0f-1.0));
+
+    }
+    m_faces.reserve(m_numVertex/3);
+    int i =0;
+    for (int h = 0; h< 6; h++) {
+        m_face[h].createSub();
+        for (int l0 = 0; l0< 4; l0++) {
+            m_face[h].getSub(l0).createSub();
+            for (int l1 = 0; l1< 4; l1++) {
+
+                m_face[h].getSub(l0).getSub(l1).setSettings(
+                            &m_vertices[i],&m_tilevertices[i],
+                            &m_vertices[i+1],&m_tilevertices[i+1],
+                            &m_vertices[i+2],&m_tilevertices[i+2]
+                        );
+                m_faces.push_back(m_face[h].getSub(l0).getSub(l1));
+                i +=3;
+            }
+        }
+    }
+}
+
+void Tile::findFaces(std::vector<Face *> &vec, QVector2D s)
+{
+    if (!m_initialized) return;
+    for (int h = 0; h< 6; h++) {
+        m_face[h].findFaces(vec, s);
+
+    }
+}
+
+void Tile::buildNormals()
+{
+    if (!m_initialized) return;
+    std::vector<Face *> vec;
+    for (int i=0; i<m_numVertex;i++) {
+        vec.clear();
+
+        findFaces(vec, m_vertices[i].position());
+        m_scene->getTile(m_x-1,m_y)->findFaces(vec,m_vertices[i].position());
+        m_scene->getTile(m_x+1,m_y)->findFaces(vec,m_vertices[i].position());
+
+        QVector3D r;
+        float cnt =0;
+        for (std::vector<Face *>::iterator it = vec.begin() ; it != vec.end(); ++it) {
+            QVector3D v = (*it)->normal();
+            cnt++;
+            r.setX(r.x() + v.x());
+            r.setY(r.y() + v.y());
+            r.setZ(r.z() + v.z());
+        }
+
+        r.setX(r.x() /cnt);
+        r.setY(r.y() /cnt);
+        r.setZ(r.z() /cnt);
+        m_tilevertices[i].setNormal(r);
+    }
+}

tile.h

@@ -0,0 +1,59 @@
+#ifndef TILE_H
+#define TILE_H
+#include <QOpenGLShaderProgram>
+#include <QOpenGLBuffer>
+#include <QOpenGLVertexArrayObject>
+#include <QOpenGLTexture>
+#include "vertex.h"
+#include "terrain.h"
+#include "tilevertexinfo.h"
+#include <QVector>
+#include "face.h"
+class QSceneRenderer;
+
+class Tile
+{
+public:
+    Tile();
+    void init(QSceneRenderer* s,int x, int y);
+    void paint(QMatrix4x4 p,QVector3D& cameraPosition,QVector3D& cameraUpDirection,QMatrix4x4& vMatrix, float zRot);
+    void buildVertices();
+    void buildNormals();
+    bool isInitialized() const { return m_initialized; }
+    bool normalsBuilt() const { return m_normalsBuilt; }
+    void ensureInitialized(QSceneRenderer* s, int x, int y);
+    void ensureNormalsBuilt();
+    void findFaces(std::vector<Face *> &vec, QVector2D s);
+protected:
+    void addTriangleVertices(int &cnt, QVector2D t1, QVector2D t2, QVector2D t3,int level, int hex, int l1);
+    void drawSubTriangleVertices(int &cnt, QVector2D t1, QVector2D t2, QVector2D t3, int hex, int l1, int l2);
+    void buildHeights();
+
+    QOpenGLBuffer m_heightsbuffer;
+    static QOpenGLBuffer m_vertex;
+    static QOpenGLVertexArrayObject m_object;
+    static QOpenGLShaderProgram *m_program;
+    QSceneRenderer *m_scene;
+    static int m_numVertex;
+    TileVertexInfo * m_tilevertices;
+
+    std::vector<Face> m_faces;
+    Face m_face[6];
+
+    int m_x;
+    int m_y;
+
+    float m_startpoint_x;
+    float m_startpoint_y;
+    bool m_initialized;
+    bool m_normalsBuilt;
+    static Vertex * m_vertices;
+    static QOpenGLTexture * m_texture;
+    static QOpenGLTexture * m_texture_border;
+    static QOpenGLTexture * m_texture_rock;
+    static QImage * m_image;
+    static QImage * m_image_rock;
+    static QImage * m_image_border;
+};
+
+#endif // TILE_H

tiletest.pro

@@ -0,0 +1,42 @@
+#-------------------------------------------------
+#
+# Project created by QtCreator 2017-05-02T19:47:48
+#
+#-------------------------------------------------
+
+QT       += core gui
+
+greaterThan(QT_MAJOR_VERSION, 4): QT += widgets
+
+TARGET = tiletest
+TEMPLATE = app
+
+
+SOURCES += main.cpp\
+        mainwindow.cpp \
+    qscenerenderer.cpp \
+    vertex.cpp \
+    tile.cpp \
+    tilevertexinfo.cpp \
+    face.cpp
+
+HEADERS  += mainwindow.h \
+    qscenerenderer.h \
+    vertex.h \
+    tile.h \
+    terrain.h \
+    tilevertexinfo.h \
+    matrix2d.h \
+    face.h
+
+FORMS    += mainwindow.ui
+
+unix: CONFIG += link_pkgconfig
+unix: PKGCONFIG += glew
+
+DISTFILES += \
+    shaders/simple.vert \
+    shaders/simple.frag
+
+RESOURCES += \
+    shaders.qrc

tiletest.pro.user

@@ -0,0 +1,334 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE QtCreatorProject>
+<!-- Written by QtCreator 3.6.1, 2017-10-14T18:39:31. -->
+<qtcreator>
+ <data>
+  <variable>EnvironmentId</variable>
+  <value type="QByteArray">{f0a66801-0dd7-42e1-b4c1-85787695328d}</value>
+ </data>
+ <data>
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tilevertexinfo.cpp

@@ -0,0 +1,4 @@
+#include "tilevertexinfo.h"
+
+
+

tilevertexinfo.h

@@ -0,0 +1,35 @@
+#ifndef TILEVERTEXINFO_H
+#define TILEVERTEXINFO_H
+
+#include <QVector3D>
+#include <QVector2D>
+#include "vertex.h"
+class TileVertexInfo
+{
+
+public:
+    Q_DECL_CONSTEXPR inline TileVertexInfo(){}
+    Q_DECL_CONSTEXPR inline TileVertexInfo(float z):m_z(z){}
+    // Accessors / Mutators
+    Q_DECL_CONSTEXPR const  float& height() const { return m_z; }
+
+    void inline  setHeight(float f){m_z=f;}
+    void inline  setNormal(QVector3D n){m_normal=n;}
+    //void calculateNormal(QVector2D v);
+
+    static const int HeightTupleSize = 1;
+    static const int NormalTupleSize = 3;
+    static int heightOffset() { return offsetof(TileVertexInfo, m_z); }
+    static int normalOffset() { return offsetof(TileVertexInfo, m_normal); }
+    static int stride() {  return sizeof(TileVertexInfo); }
+
+private:
+  float m_z=0.0f;
+  QVector3D m_normal;
+};
+
+Q_DECLARE_TYPEINFO(TileVertexInfo, Q_MOVABLE_TYPE);
+
+
+
+#endif // TILEVERTEXINFO_H

ui_mainwindow.h

@@ -0,0 +1,65 @@
+/********************************************************************************
+** Form generated from reading UI file 'mainwindow.ui'
+**
+** Created by: Qt User Interface Compiler version 5.15.13
+**
+** WARNING! All changes made in this file will be lost when recompiling UI file!
+********************************************************************************/
+
+#ifndef UI_MAINWINDOW_H
+#define UI_MAINWINDOW_H
+
+#include <QtCore/QVariant>
+#include <QtWidgets/QApplication>
+#include <QtWidgets/QHBoxLayout>
+#include <QtWidgets/QMainWindow>
+#include <QtWidgets/QWidget>
+#include "qscenerenderer.h"
+
+QT_BEGIN_NAMESPACE
+
+class Ui_MainWindow
+{
+public:
+    QWidget *centralWidget;
+    QHBoxLayout *horizontalLayout;
+    QSceneRenderer *openGLWidget;
+
+    void setupUi(QMainWindow *MainWindow)
+    {
+        if (MainWindow->objectName().isEmpty())
+            MainWindow->setObjectName(QString::fromUtf8("MainWindow"));
+        MainWindow->resize(606, 463);
+        centralWidget = new QWidget(MainWindow);
+        centralWidget->setObjectName(QString::fromUtf8("centralWidget"));
+        horizontalLayout = new QHBoxLayout(centralWidget);
+        horizontalLayout->setSpacing(6);
+        horizontalLayout->setContentsMargins(11, 11, 11, 11);
+        horizontalLayout->setObjectName(QString::fromUtf8("horizontalLayout"));
+        openGLWidget = new QSceneRenderer(centralWidget);
+        openGLWidget->setObjectName(QString::fromUtf8("openGLWidget"));
+        openGLWidget->setFocusPolicy(Qt::StrongFocus);
+
+        horizontalLayout->addWidget(openGLWidget);
+
+        MainWindow->setCentralWidget(centralWidget);
+
+        retranslateUi(MainWindow);
+
+        QMetaObject::connectSlotsByName(MainWindow);
+    } // setupUi
+
+    void retranslateUi(QMainWindow *MainWindow)
+    {
+        MainWindow->setWindowTitle(QCoreApplication::translate("MainWindow", "MainWindow", nullptr));
+    } // retranslateUi
+
+};
+
+namespace Ui {
+    class MainWindow: public Ui_MainWindow {};
+} // namespace Ui
+
+QT_END_NAMESPACE
+
+#endif // UI_MAINWINDOW_H

vertex.cpp

@@ -0,0 +1 @@
+#include "vertex.h"

vertex.h

@@ -0,0 +1,58 @@
+#ifndef VERTEX_H
+#define VERTEX_H
+
+#include <QVector3D>
+#include <QVector2D>
+#include "face.h"
+class Vertex
+{
+public:
+  // Constructors
+  Q_DECL_CONSTEXPR Vertex();
+  //Q_DECL_CONSTEXPR explicit Vertex(const QVector2D &position);
+  Q_DECL_CONSTEXPR Vertex(const QVector2D &position, const QVector2D &texturepos);
+
+  // Accessors / Mutators
+  Q_DECL_CONSTEXPR const QVector2D& position() const;
+  Q_DECL_CONSTEXPR const QVector2D& texturepos() const;
+  void setPosition(const QVector2D& position);
+  void setTexturepos(const QVector2D& texturepos);
+
+  // OpenGL Helpers
+  static const int PositionTupleSize = 3;
+  static const int ColorTupleSize = 3;
+  static Q_DECL_CONSTEXPR int positionOffset();
+  static Q_DECL_CONSTEXPR int colorOffset();
+  static Q_DECL_CONSTEXPR int stride();
+
+private:
+  QVector2D m_position;
+  QVector2D m_texturepos;
+
+};
+
+/*******************************************************************************
+ * Inline Implementation
+ ******************************************************************************/
+
+// Note: Q_MOVABLE_TYPE means it can be memcpy'd.
+Q_DECLARE_TYPEINFO(Vertex, Q_MOVABLE_TYPE);
+
+// Constructors
+Q_DECL_CONSTEXPR inline Vertex::Vertex() {}
+//Q_DECL_CONSTEXPR inline Vertex::Vertex(const QVector2D &position) : m_position(position) {}
+Q_DECL_CONSTEXPR inline Vertex::Vertex(const QVector2D &position, const QVector2D &texturepos)
+    : m_position(position), m_texturepos(texturepos) {}
+
+// Accessors / Mutators
+Q_DECL_CONSTEXPR inline const QVector2D& Vertex::position() const { return m_position; }
+Q_DECL_CONSTEXPR inline const QVector2D& Vertex::texturepos() const { return m_texturepos; }
+void inline Vertex::setPosition(const QVector2D& position) { m_position = position; }
+void inline Vertex::setTexturepos(const QVector2D& texturepos) { m_texturepos = texturepos; }
+
+// OpenGL Helpers
+Q_DECL_CONSTEXPR inline int Vertex::positionOffset() { return offsetof(Vertex, m_position); }
+Q_DECL_CONSTEXPR inline int Vertex::colorOffset() { return offsetof(Vertex, m_texturepos); }
+Q_DECL_CONSTEXPR inline int Vertex::stride() { return sizeof(Vertex); }
+
+#endif // VERTEX_H