update

CMakeLists.txt

@@ -2,17 +2,26 @@ project (AsteroGen CXX C)
 cmake_minimum_required (VERSION 2.6)
 set (CMAKE_CXX_STANDARD 11)
 set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} "${CMAKE_SOURCE_DIR}/cmake/")
+FIND_PACKAGE(OpenMP)
 
 if(CMAKE_BUILD_TYPE MATCHES DEBUG)
 	set(CMAKE_CXX_FLAGS "-Wall ${CMAKE_CXX_FLAGS}")
 endif()
 
+SET(CMAKE_C_FLAGS_RELEASE "-Ofast -msse4 -DNDEBUG")
+SET(CMAKE_CXX_FLAGS_RELEASE "-Ofast -msse4 -DNDEBUG")
+
 if(CMAKE_BUILD_TYPE MATCHES RELEASE)
 	set(CMAKE_FIND_LIBRARY_SUFFIXES ".a")
 	set(CMAKE_EXE_LINKER_FLAGS "-static-libgcc -static-libstdc++")
 	add_definitions(-DOM_STATIC_BUILD)
 endif()
 
+IF(OPENMP_CXX_FOUND)
+  SET(CMAKE_C_FLAGS "${OpenMP_C_FLAGS} ${CMAKE_C_FLAGS}")
+  SET(CMAKE_CXX_FLAGS "${OpenMP_CXX_FLAGS} ${CMAKE_CXX_FLAGS} ")
+ENDIF()
+  
 FIND_PACKAGE(OpenMesh REQUIRED)
 link_directories(${OPENMESH_LIBRARY_DIR})
 include_directories(${OPENMESH_INCLUDE_DIRS} ${CMAKE_SOURCE_DIR}/vendor)
@@ -24,6 +33,9 @@ add_executable(asteroidgen
 	src/Polygoniser.cpp
 	src/TextureMapper.cpp
 	src/Mesh.cpp
+	src/MarchingCube.cpp
+	src/SkyBox.cpp
+	src/Shader.cpp
 #	src/TexturePainter.cpp
 #	src/gen.cpp
 	vendor/stb_impl.cpp
@@ -35,9 +47,9 @@ add_executable(asteroidgen
 	vendor/imgui_draw.cpp
 	vendor/imgui_impl_glfw_gl3.cpp
 )
-target_link_libraries(asteroidgen ${OPENMESH_LIBRARIES} dl glfw)
+target_link_libraries(asteroidgen ${OPENMESH_LIBRARIES} dl glfw ${OpenMP_CXX_LIBRARIES})
 
 if(CMAKE_BUILD_TYPE MATCHES RELEASE)
 	set_target_properties(asteroidgen PROPERTIES LINK_SEARCH_START_STATIC 1)
 	set_target_properties(asteroidgen PROPERTIES LINK_SEARCH_END_STATIC 1)
-endif()
+endif()

ToDo.txt

@@ -1,4 +1,5 @@
 LIB:
+- fix polygonize
 - improve marching cube
 - create patches
 - use lscm
@@ -18,4 +19,4 @@ GUI:
 - Progress
 - Arcball
 - PBR https://learnopengl.com/#!PBR/Lighting
-- save
+- save

cmake/FindOpenMesh.cmake

@@ -0,0 +1,147 @@
+#
+# Try to find OPENMESH
+# Once done this will define
+#  
+# OPENMESH_FOUND           - system has OPENMESH
+# OPENMESH_INCLUDE_DIRS    - the OPENMESH include directories
+# OPENMESH_LIBRARIES       - Link these to use OPENMESH
+# OPENMESH_LIBRARY_DIR     - directory where the libraries are included
+#
+# Copyright 2015 Computer Graphics Group, RWTH Aachen University
+# Authors: Jan Möbius <moebius@cs.rwth-aachen.de>
+#          Hans-Christian Ebke <ebke@cs.rwth-aachen.de>
+#
+#
+#===========================================================================
+#                                                                           
+#                               OpenMesh                                    
+#           Copyright (c) 2001-2015, RWTH-Aachen University                 
+#           Department of Computer Graphics and Multimedia                 
+#                          All rights reserved.                             
+#                            www.openmesh.org                               
+#                                                                           
+#---------------------------------------------------------------------------
+# This file is part of OpenMesh.                                            
+#---------------------------------------------------------------------------
+#                                                                           
+# Redistribution and use in source and binary forms, with or without        
+# modification, are permitted provided that the following conditions        
+# are met:                                                                  
+#                                                                           
+# 1. Redistributions of source code must retain the above copyright notice, 
+#    this list of conditions and the following disclaimer.                  
+#                                                                           
+# 2. Redistributions in binary form must reproduce the above copyright      
+#    notice, this list of conditions and the following disclaimer in the    
+#    documentation and/or other materials provided with the distribution.   
+#                                                                           
+# 3. Neither the name of the copyright holder nor the names of its          
+#    contributors may be used to endorse or promote products derived from   
+#    this software without specific prior written permission.               
+#                                                                           
+# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS       
+# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED 
+# TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A           
+# PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER 
+# OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,  
+# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,       
+# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR        
+# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF    
+# LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING      
+# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS        
+# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.              
+#                                                                            
+#===========================================================================
+
+cmake_minimum_required(VERSION 2.8.9)
+
+#if already found via finder or simulated finder in openmesh CMakeLists.txt, skip the search
+IF (NOT OPENMESH_FOUND) 
+  SET (SEARCH_PATHS 
+    /usr/local/
+    /usr/
+    "${CMAKE_SOURCE_DIR}/OpenMesh/src/OpenMesh"
+    "${CMAKE_SOURCE_DIR}/libs_required/OpenMesh/src/OpenMesh"
+    "${CMAKE_SOURCE_DIR}/../OpenMesh/src/OpenMesh"
+    "C:/Program Files/OpenMesh 6.3"
+    "C:/Program Files/OpenMesh 6.2"
+    "C:/Program Files/OpenMesh 6.1"
+    "C:/Program Files/OpenMesh 6.0"
+    "C:/Program Files/OpenMesh 5.2"
+    "C:/Program Files/OpenMesh 5.1"
+    "C:/Program Files/OpenMesh 5.0"
+    "C:/Program Files/OpenMesh 4.2"
+    "C:/Program Files/OpenMesh 4.1"
+    "C:/Program Files/OpenMesh 4.0"
+    "C:/Program Files/OpenMesh 3.4"
+    "C:/Program Files/OpenMesh 3.3"
+    "C:/Program Files/OpenMesh 3.2"
+    "C:/Program Files/OpenMesh 3.1"
+    "C:/Program Files/OpenMesh 3.0"
+    "C:/Program Files/OpenMesh 2.4.1"
+    "C:/Program Files/OpenMesh 2.4"
+    "C:/Program Files/OpenMesh 2.0/include"
+    "C:/libs/OpenMesh 6.3"
+    "C:/libs/OpenMesh 6.2"
+    "C:/libs/OpenMesh 6.1"
+    "C:/libs/OpenMesh 6.0"
+    "C:/libs/OpenMesh 5.2"
+    "C:/libs/OpenMesh 5.1"
+    "C:/libs/OpenMesh 5.0"
+    "C:/libs/OpenMesh 4.2"
+    "C:/libs/OpenMesh 4.1"
+    "C:/libs/OpenMesh 4.0"
+    "C:/libs/OpenMesh 3.4"
+    "C:/libs/OpenMesh 3.3"
+    "C:/libs/OpenMesh 3.2"
+    "C:/libs/OpenMesh 3.1"
+    "C:/libs/OpenMesh 3.0"
+    "C:/libs/OpenMesh 2.4.1"
+    "C:/libs/OpenMesh 2.4"
+    "${OPENMESH_LIBRARY_DIR}"
+  )
+
+  FIND_PATH (OPENMESH_INCLUDE_DIR OpenMesh/Core/Mesh/PolyMeshT.hh
+    PATHS ${SEARCH_PATHS}
+    PATH_SUFFIXES include)
+
+  FIND_LIBRARY(OPENMESH_CORE_LIBRARY_RELEASE NAMES OpenMeshCore
+    PATHS ${SEARCH_PATHS}
+    PATH_SUFFIXES lib lib64)
+
+  FIND_LIBRARY(OPENMESH_CORE_LIBRARY_DEBUG NAMES OpenMeshCored 
+    PATHS ${SEARCH_PATHS}
+    PATH_SUFFIXES lib lib64)
+
+  FIND_LIBRARY(OPENMESH_TOOLS_LIBRARY_RELEASE NAMES OpenMeshTools
+    PATHS ${SEARCH_PATHS}
+    PATH_SUFFIXES lib lib64)
+
+  FIND_LIBRARY(OPENMESH_TOOLS_LIBRARY_DEBUG NAMES OpenMeshToolsd
+    PATHS ${SEARCH_PATHS}
+    PATH_SUFFIXES lib lib64)
+
+#select configuration depending on platform (optimized... on windows)
+  include(SelectLibraryConfigurations)
+  select_library_configurations( OPENMESH_TOOLS )
+  select_library_configurations( OPENMESH_CORE )
+
+  set(OPENMESH_LIBRARIES ${OPENMESH_CORE_LIBRARY} ${OPENMESH_TOOLS_LIBRARY} )
+  set(OPENMESH_INCLUDE_DIRS ${OPENMESH_INCLUDE_DIR} )
+
+#checks, if OPENMESH was found and sets OPENMESH_FOUND if so
+  include(FindPackageHandleStandardArgs)
+  find_package_handle_standard_args(OpenMesh  DEFAULT_MSG
+                                    OPENMESH_CORE_LIBRARY OPENMESH_TOOLS_LIBRARY OPENMESH_INCLUDE_DIR)
+ 
+#sets the library dir 
+  if ( OPENMESH_CORE_LIBRARY_RELEASE )
+    get_filename_component(_OPENMESH_LIBRARY_DIR ${OPENMESH_CORE_LIBRARY_RELEASE} PATH)
+  else( OPENMESH_CORE_LIBRARY_RELEASE )
+    get_filename_component(_OPENMESH_LIBRARY_DIR ${OPENMESH_CORE_LIBRARY_DEBUG} PATH)
+  endif( OPENMESH_CORE_LIBRARY_RELEASE )
+  set (OPENMESH_LIBRARY_DIR "${_OPENMESH_LIBRARY_DIR}" CACHE PATH "The directory where the OpenMesh libraries can be found.")
+  
+ 
+  mark_as_advanced(OPENMESH_INCLUDE_DIR OPENMESH_CORE_LIBRARY_RELEASE OPENMESH_CORE_LIBRARY_DEBUG OPENMESH_TOOLS_LIBRARY_RELEASE OPENMESH_TOOLS_LIBRARY_DEBUG OPENMESH_LIBRARY_DIR)
+endif()

shader/skybox.fragment.glsl

@@ -0,0 +1,12 @@
+#version 330
+
+in vec3 TexCoord0;
+
+out vec4 FragColor;
+
+uniform samplerCube gCubemapTexture;
+
+void main()
+{
+    FragColor = texture(gCubemapTexture, TexCoord0);
+}

shader/skybox.vertex.glsl

@@ -0,0 +1,14 @@
+#version 330
+
+in vec3 Position;
+
+uniform mat4 gWVP;
+
+out vec3 TexCoord0;
+
+void main()
+{
+    vec4 WVP_Pos = gWVP * vec4(Position, 1.0);
+    gl_Position = WVP_Pos.xyww;
+    TexCoord0 = Position;
+}

src/AlignedAllocator.h

@@ -0,0 +1,206 @@
+#pragma once
+
+#include <malloc.h>
+#include <assert.h>
+
+#include <type_traits>
+#include <memory>
+
+enum class Alignment
+	: size_t
+	{
+		Normal = sizeof(void*), SSE = 16, AVX = 32,
+};
+
+namespace detail {
+void* allocate_aligned_memory(size_t align, size_t size);
+void deallocate_aligned_memory(void* ptr) noexcept;
+}
+
+template<typename T, Alignment Align = Alignment::SSE>
+class AlignedAllocator;
+
+template<Alignment Align>
+class AlignedAllocator<void, Align> {
+public:
+	typedef void* pointer;
+	typedef const void* const_pointer;
+	typedef void value_type;
+
+	template<class U> struct rebind {
+		typedef AlignedAllocator<U, Align> other;
+	};
+};
+
+template<typename T, Alignment Align>
+class AlignedAllocator {
+public:
+	typedef T value_type;
+	typedef T* pointer;
+	typedef const T* const_pointer;
+	typedef T& reference;
+	typedef const T& const_reference;
+	typedef size_t size_type;
+	typedef ptrdiff_t difference_type;
+
+	typedef std::true_type propagate_on_container_move_assignment;
+
+	template<class U>
+	struct rebind {
+		typedef AlignedAllocator<U, Align> other;
+	};
+
+public:
+	AlignedAllocator() noexcept
+	{
+	}
+
+	template<class U>
+	AlignedAllocator(const AlignedAllocator<U, Align>&) noexcept
+	{
+	}
+
+	size_type max_size() const noexcept
+	{
+		return (size_type(~0) - size_type(Align)) / sizeof(T);
+	}
+
+	pointer address(reference x) const noexcept
+	{
+		return std::addressof(x);
+	}
+
+	const_pointer address(const_reference x) const noexcept
+	{
+		return std::addressof(x);
+	}
+
+	pointer allocate(size_type n,
+			typename AlignedAllocator<void, Align>::const_pointer = 0) {
+		const size_type alignment = static_cast<size_type>(Align);
+		void* ptr = detail::allocate_aligned_memory(alignment, n * sizeof(T));
+		if (ptr == nullptr) {
+			throw std::bad_alloc();
+		}
+
+		return reinterpret_cast<pointer>(ptr);
+	}
+
+	void deallocate(pointer p, size_type) noexcept
+	{
+		detail::deallocate_aligned_memory(p);
+	}
+
+	template<class U, class ...Args>
+	void construct(U* p, Args&&... args) {
+		::new (reinterpret_cast<void*>(p)) U(std::forward<Args>(args)...);
+	}
+
+	void destroy(pointer p) {
+		p->~T();
+	}
+};
+
+template<typename T, Alignment Align>
+class AlignedAllocator<const T, Align> {
+public:
+	typedef T value_type;
+	typedef const T* pointer;
+	typedef const T* const_pointer;
+	typedef const T& reference;
+	typedef const T& const_reference;
+	typedef size_t size_type;
+	typedef ptrdiff_t difference_type;
+
+	typedef std::true_type propagate_on_container_move_assignment;
+
+	template<class U>
+	struct rebind {
+		typedef AlignedAllocator<U, Align> other;
+	};
+
+public:
+	AlignedAllocator() noexcept
+	{
+	}
+
+	template<class U>
+	AlignedAllocator(const AlignedAllocator<U, Align>&) noexcept
+	{
+	}
+
+	size_type max_size() const noexcept
+	{
+		return (size_type(~0) - size_type(Align)) / sizeof(T);
+	}
+
+	const_pointer address(const_reference x) const noexcept
+	{
+		return std::addressof(x);
+	}
+
+	pointer allocate(size_type n,
+			typename AlignedAllocator<void, Align>::const_pointer = 0) {
+		const size_type alignment = static_cast<size_type>(Align);
+		void* ptr = detail::allocate_aligned_memory(alignment, n * sizeof(T));
+		if (ptr == nullptr) {
+			throw std::bad_alloc();
+		}
+
+		return reinterpret_cast<pointer>(ptr);
+	}
+
+	void deallocate(pointer p, size_type) noexcept
+	{
+		detail::deallocate_aligned_memory(p);
+	}
+
+	template<class U, class ...Args>
+	void construct(U* p, Args&&... args) {
+		::new (reinterpret_cast<void*>(p)) U(std::forward<Args>(args)...);
+	}
+
+	void destroy(pointer p) {
+		p->~T();
+	}
+};
+
+template<typename T, Alignment TAlign, typename U, Alignment UAlign>
+inline
+bool operator==(const AlignedAllocator<T, TAlign>&,
+		const AlignedAllocator<U, UAlign>&) noexcept
+		{
+	return TAlign == UAlign;
+}
+
+template<typename T, Alignment TAlign, typename U, Alignment UAlign>
+inline
+bool operator!=(const AlignedAllocator<T, TAlign>&,
+		const AlignedAllocator<U, UAlign>&) noexcept
+		{
+	return TAlign != UAlign;
+}
+
+inline void*
+detail::allocate_aligned_memory(size_t align, size_t size) {
+	assert(align >= sizeof(void*));
+	//assert(nail::is_power_of_two(align));
+
+	if (size == 0) {
+		return nullptr;
+	}
+
+	void* ptr = nullptr;
+	int rc = posix_memalign(&ptr, align, size);
+
+	if (rc != 0) {
+		return nullptr;
+	}
+
+	return ptr;
+}
+
+inline void detail::deallocate_aligned_memory(void *ptr) noexcept
+{
+	free(ptr);
+}

src/Application.cpp

@@ -1,5 +1,6 @@
 #include "Application.h"
 #include "Mesh.h"
+#include "Shader.h"
 
 #include <glad/glad.h>
 #include <GLFW/glfw3.h>
@@ -82,7 +83,8 @@ Application::Application() :
 				textureSize), programId(0), vPositionLoc(-1), vTexCoordLoc(-1), vNormalLoc(
 				-1), meteoridCount(1000), meteroidMinRadius(0.005), meteroidMaxRadius(
 				0.2), meteroidSizeExponent(2048), densityFrequency(2), densityOctave(
-				2), densityScale(1.0f), resolution(0.1), viewDistance(3.0f), fpsMode(
+				2), densityScale(1.0f), resolution(0.1), smoothMesh(true), viewDistance(
+				3.0f), fpsMode(false), meshUploadRequest(false), textureUploadRequest(
 				false) {
 	init();
 }
@@ -157,7 +159,6 @@ void Application::init() {
 	loadShader();
 	updateVertexArrayObject();
 	generateAsteroid();
-	uploadMesh();
 }
 
 void Application::shutdown() {
@@ -215,47 +216,98 @@ void Application::toogleFpsMode() {
 }
 
 void Application::generateAsteroid() {
-	std::srand(123);
+	if (meshProgress.begin("Random Impacts", 1)) {
+		//if (density.getImpacts().size() == 0)
+		density.addRandomImpacts(1000, densityIsolevel, 0.01, 0.005, 0.2, 256);
 
-	if (density.getImpacts().size() == 0)
+		//density.saveCrossSection("density.png", 512);
-		density.addRandomImpacts(1000, 0.2, 0.01, 0.005, 0.2, 4096);
+	}
-	//density.saveCrossSection("density.png", 512);
+	polygonizer.polygonize(resolution, meshProgress);
 
-	polygonizer.polygonize(resolution);
+	if (smoothMesh && meshProgress.begin("Smooth", 1)) {
+		smooth(polygonizer.vertices, polygonizer.indices);
+//		{
+//			std::ofstream out("stage2.obj");
+//			saveAttrib(out, "v ", polygonizer.vertices);
+//			saveFaces(out, polygonizer.indices, 1);
+//		}
+	}
+
+	uvec4v_t edges;
+	if (meshProgress.begin("Find Edges", 1)) {
+		findEdges(polygonizer.vertices, polygonizer.indices, edges);
+	}
+	uvec3v_t adjacents;
+	if (meshProgress.begin("Find Adjacent", 1)) {
+		findAdjacent(edges, polygonizer.indices.size(), adjacents);
+	}
+	vec3v_t faceNormals;
+	calculateFaceNormals(polygonizer.vertices, polygonizer.indices,
+			faceNormals);
+
+	vec3v_t positions;
+	uvec3v_t indices;
+	uintv_t patches;
+
+	createPatches(polygonizer.vertices, polygonizer.indices, faceNormals,
+			adjacents, positions, indices, patches, 0.9);
 	{
 		std::ofstream out("stage1.obj");
-		saveAttrib(out, "v ", polygonizer.vertices);
+		saveAttrib(out, "v ", positions);
-		saveFaces(out, polygonizer.indices, 1);
+		saveFaces(out, indices, 1);
 	}
 
-	smooth(polygonizer.vertices, polygonizer.indices);
+	if (meshProgress.begin("Calculate Vertex Normals", 1)) {
-	{
+		calculateVertexNormals(polygonizer.vertices, polygonizer.indices,
-		std::ofstream out("stage2.obj");
+				normals);
-		saveAttrib(out, "v ", polygonizer.vertices);
+//		{
-		saveFaces(out, polygonizer.indices, 1);
+//			std::ofstream out("stage3.obj");
-	}
+//			saveAttrib(out, "v ", polygonizer.vertices);
-	calculateNormals(polygonizer.vertices, polygonizer.indices, normals);
+//			saveAttrib(out, "vn ", normals);
-	{
+//			saveFaces(out, polygonizer.indices, 2);
-		std::ofstream out("stage3.obj");
+//		}
-		saveAttrib(out, "v ", polygonizer.vertices);
+
-		saveAttrib(out, "vn ", normals);
-		saveFaces(out, polygonizer.indices, 2);
 	}
 
-	vector<glm::uvec4> edges;
 	std::cout << "Vertices: " << polygonizer.vertices.size() << std::endl;
 	std::cout << "Triangles: " << polygonizer.indices.size() << std::endl;
 
-	texturemapper.map(polygonizer.vertices, normals, polygonizer.indices);
+	if (meshProgress.begin("Map Textures", 1)) {
-	moveToMean(texturemapper.vertices);
+		texturemapper.map(polygonizer.vertices, normals, polygonizer.indices);
-
-	{
-		std::ofstream out("stage4.obj");
-		saveAttrib(out, "v ", texturemapper.vertices);
-		saveAttrib(out, "vn ", texturemapper.normals);
-		saveAttrib(out, "vt ", texturemapper.texcoords);
-		saveFaces(out, texturemapper.indices, 3);
 	}
+
+	if (meshProgress.begin("Move To Mean", 1)) {
+		moveToMean(texturemapper.vertices);
+
+//		{
+//			std::ofstream out("stage4.obj");
+//			saveAttrib(out, "v ", texturemapper.vertices);
+//			saveAttrib(out, "vn ", texturemapper.normals);
+//			saveAttrib(out, "vt ", texturemapper.texcoords);
+//			saveFaces(out, texturemapper.indices, 3);
+//		}
+
+	}
+
+	if (meshProgress.begin("Save", 4)) {
+		std::ofstream out("asteroid.obj");
+		saveAttrib(out, "v ", texturemapper.vertices);
+		meshProgress.advance();
+		saveAttrib(out, "vn ", texturemapper.normals);
+		meshProgress.advance();
+		saveAttrib(out, "vt ", texturemapper.texcoords);
+		meshProgress.advance();
+		saveFaces(out, texturemapper.indices, 3);
+		meshProgress.advance();
+	}
+
+	meshProgress.finish();
+
+	if (!meshProgress.isCanceled()) {
+		meshUploadRequest = true;
+		textureUploadRequest = true;
+	}
+
 }
 
 bool Application::bindVertexAttrib(GLuint id, GLint loc, GLuint size) {
@@ -267,7 +319,7 @@ bool Application::bindVertexAttrib(GLuint id, GLint loc, GLuint size) {
 			size,// size
 			GL_FLOAT,// type
 			GL_FALSE,// normalized?
-			0,	 // stride
+			0,// stride
 			(void* ) 0// array buffer offset
 			))
 	return true;
@@ -290,102 +342,7 @@ void Application::updateVertexArrayObject() {
 	GLCK(glBindVertexArray(0))
 }
 
-GLuint Application::loadProgram(const std::string &name) {
 
-	// Create the shaders
-	GLuint VertexShaderID = glCreateShader(GL_VERTEX_SHADER);
-	GLuint FragmentShaderID = glCreateShader(GL_FRAGMENT_SHADER);
-
-	// Read the Vertex Shader code from the file
-	std::string VertexShaderCode;
-	std::string vertex_file_path = "shader/" + name + ".vertex.glsl";
-	std::ifstream VertexShaderStream(vertex_file_path, std::ios::in);
-	if (VertexShaderStream.is_open()) {
-		std::string Line = "";
-		while (getline(VertexShaderStream, Line))
-			VertexShaderCode += "\n" + Line;
-		VertexShaderStream.close();
-	} else {
-		std::cout << "Failed to open " << vertex_file_path << std::endl;
-		return 0;
-	}
-
-	// Read the Fragment Shader code from the file
-	std::string FragmentShaderCode;
-	std::string fragment_file_path = "shader/" + name + ".fragment.glsl";
-	std::ifstream FragmentShaderStream(fragment_file_path, std::ios::in);
-	if (FragmentShaderStream.is_open()) {
-		std::string Line = "";
-		while (getline(FragmentShaderStream, Line))
-			FragmentShaderCode += "\n" + Line;
-		FragmentShaderStream.close();
-	} else {
-		std::cout << "Failed to open " << vertex_file_path << std::endl;
-		return 0;
-	}
-
-	GLint Result = GL_FALSE;
-	int InfoLogLength;
-
-	// Compile Vertex Shader
-	std::cout << "Compiling vertex shader : " << name << std::endl;
-	char const * VertexSourcePointer = VertexShaderCode.c_str();
-	glShaderSource(VertexShaderID, 1, &VertexSourcePointer, NULL);
-	glCompileShader(VertexShaderID);
-
-	// Check Vertex Shader
-	glGetShaderiv(VertexShaderID, GL_COMPILE_STATUS, &Result);
-	glGetShaderiv(VertexShaderID, GL_INFO_LOG_LENGTH, &InfoLogLength);
-	if (InfoLogLength > 0) {
-		vector<char> VertexShaderErrorMessage(InfoLogLength + 1);
-		glGetShaderInfoLog(VertexShaderID, InfoLogLength, NULL,
-				&VertexShaderErrorMessage[0]);
-		printf("%s\n", &VertexShaderErrorMessage[0]);
-	}
-
-	// Compile Fragment Shader
-	std::cout << "Compiling fragment shader : " << name << std::endl;
-
-	char const * FragmentSourcePointer = FragmentShaderCode.c_str();
-	glShaderSource(FragmentShaderID, 1, &FragmentSourcePointer, NULL);
-	glCompileShader(FragmentShaderID);
-
-	// Check Fragment Shader
-	glGetShaderiv(FragmentShaderID, GL_COMPILE_STATUS, &Result);
-	glGetShaderiv(FragmentShaderID, GL_INFO_LOG_LENGTH, &InfoLogLength);
-	if (InfoLogLength > 0) {
-		vector<char> FragmentShaderErrorMessage(InfoLogLength + 1);
-		glGetShaderInfoLog(FragmentShaderID, InfoLogLength, NULL,
-				&FragmentShaderErrorMessage[0]);
-		printf("%s\n", &FragmentShaderErrorMessage[0]);
-	}
-
-	// Link the program
-	std::cout << "Linking program : " << name << std::endl;
-
-	GLuint ProgramID = glCreateProgram();
-	glAttachShader(ProgramID, VertexShaderID);
-	glAttachShader(ProgramID, FragmentShaderID);
-	glLinkProgram(ProgramID);
-
-	// Check the program
-	glGetProgramiv(ProgramID, GL_LINK_STATUS, &Result);
-	glGetProgramiv(ProgramID, GL_INFO_LOG_LENGTH, &InfoLogLength);
-	if (InfoLogLength > 0) {
-		vector<char> ProgramErrorMessage(InfoLogLength + 1);
-		glGetProgramInfoLog(ProgramID, InfoLogLength, NULL,
-				&ProgramErrorMessage[0]);
-		printf("%s\n", &ProgramErrorMessage[0]);
-	}
-
-	glDetachShader(ProgramID, VertexShaderID);
-	glDetachShader(ProgramID, FragmentShaderID);
-
-	glDeleteShader(VertexShaderID);
-	glDeleteShader(FragmentShaderID);
-
-	return ProgramID;
-}
 
 void Application::loadShader() {
 	if (programId >= 0)
@@ -409,6 +366,7 @@ void Application::loadShader() {
 }
 
 void Application::uploadMesh() {
+	printf("upload mesh\n");
 	GLCK(glBindVertexArray(vertexArrayId))
 
 	GLCK(glBindBuffer(GL_ARRAY_BUFFER, vPositionId))
@@ -428,10 +386,13 @@ void Application::uploadMesh() {
 			glBufferData(GL_ELEMENT_ARRAY_BUFFER, texturemapper.indices.size() * sizeof(uvec3), texturemapper.indices.data(), GL_STATIC_DRAW))
 
 	GLCK(glBindVertexArray(0))
+}
 
+void Application::uploadTexture() {
+	printf("upload texture\n");
 	glBindTexture(GL_TEXTURE_2D, tAlbedoId);
-	glTexImage2D(GL_TEXTURE_2D, 0, GL_RGB, texturemapper.getTextureSize(),
+	glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, texturemapper.getTextureSize(),
-			texturemapper.getTextureSize(), 0, GL_BGR, GL_UNSIGNED_BYTE,
+			texturemapper.getTextureSize(), 0, GL_RGBA, GL_UNSIGNED_BYTE,
 			texturemapper.albedo.data());
 	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_NEAREST);
 	glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_NEAREST);
@@ -446,9 +407,11 @@ void Application::renderMesh() {
 }
 
 void Application::prepareShader() {
-	glm::mat4 model(1.0f);
 	glm::mat4 view;
 
+	double mouseX, mouseY;
+	glfwGetCursorPos(window, &mouseX, &mouseY);
+
 	if (fpsMode) {
 		glm::mat4 fpsTrafoInv = glm::inverse(fpsTrafo);
 
@@ -458,37 +421,53 @@ void Application::prepareShader() {
 		} else if (glfwGetKey(window, GLFW_KEY_S) == GLFW_PRESS) {
 			movement -= glm::vec4(0.0, 0.0, 0.1, 0.0);
 		}
-		double mouseX, mouseY;
+
-		glfwGetCursorPos(window, &mouseX, &mouseY);
+		if (glfwGetMouseButton(window, 0) == GLFW_PRESS) {
-		glm::vec3 up = fpsTrafoInv * glm::vec4(0.0, 1.0, 0.0, 0.0);
+			glm::vec3 up = fpsTrafoInv * glm::vec4(0.0, 1.0, 0.0, 0.0);
-		glm::vec3 side = fpsTrafoInv * glm::vec4(1.0, 0.0, 0.0, 0.0);
+			glm::vec3 side = fpsTrafoInv * glm::vec4(1.0, 0.0, 0.0, 0.0);
-		glm::vec3 front = fpsTrafoInv * glm::vec4(0.0, 0.0, 1.0, 0.0);
+			glm::vec3 front = fpsTrafoInv * glm::vec4(0.0, 0.0, 1.0, 0.0);
-		fpsTrafo = glm::rotate(fpsTrafo, (float)(mouseX - lastMouseX) * 0.01f, up);
+			fpsTrafo = glm::rotate(fpsTrafo,
-		fpsTrafo = glm::rotate(fpsTrafo, (float)(mouseY - lastMouseY) * 0.01f, side);
+					(float) (mouseX - lastMouseX) * 0.01f, up);
+			fpsTrafo = glm::rotate(fpsTrafo,
+					(float) (mouseY - lastMouseY) * 0.01f, side);
+		}
 		//fpsTrafo = glm::rotate(fpsTrafo, mouseX - lastMouseX, up);
 		glm::vec3 absolute = fpsTrafoInv * movement;
 		fpsTrafo = glm::translate(fpsTrafo, absolute);
-		lastMouseX = mouseX;
+
-		lastMouseY = mouseY;
 		view = fpsTrafo;
 	} else {
-		model = glm::rotate(model, (float) glfwGetTime(), vec3(0.f, 1.f, 0.f));
+
+		if (!ImGui::IsMouseHoveringAnyWindow() && glfwGetMouseButton(window, 0) == GLFW_PRESS) {
+			glm::mat4 modelTrafoInv = glm::inverse(modelTrafo);
+			modelTrafo = glm::rotate(modelTrafo,
+					(float) (mouseX - lastMouseX) * 0.01f,
+					vec3(modelTrafoInv * glm::vec4(0.0, 1.0, 0.0, 0.0)));
+			modelTrafo = glm::rotate(modelTrafo,
+					(float) (mouseY - lastMouseY) * 0.01f,
+					vec3(modelTrafoInv * glm::vec4(1.0, 0.0, 0.0, 0.0)));
+		}
+
+		//model = glm::rotate(model, (float) glfwGetTime(), vec3(0.f, 1.f, 0.f));
 
 		view = glm::lookAt(vec3(0, 0, viewDistance), // Camera is at (4,3,3), in World Space
 		vec3(0, 0, 0), // and looks at the origin
 		vec3(0, 1, 0) // Head is up (set to 0,-1,0 to look upside-down)
 				);
 	}
+	lastMouseX = mouseX;
+	lastMouseY = mouseY;
+
 	glm::mat4 perspective = glm::perspective(glm::radians(45.0f),
 			(float) width / (float) height, 0.1f, 100.0f);
-	glm::mat4 mvp = perspective * view * model;
+	glm::mat4 mvp = perspective * view * modelTrafo;
 
 	GLCK(glUseProgram(programId))
 	if (MVPloc >= 0) {
 		GLCK(glUniformMatrix4fv(MVPloc, 1, GL_FALSE, glm::value_ptr(mvp)))
 	}
 	if (Mloc >= 0) {
-		GLCK(glUniformMatrix4fv(Mloc, 1, GL_FALSE, glm::value_ptr(model)))
+		GLCK(glUniformMatrix4fv(Mloc, 1, GL_FALSE, glm::value_ptr(modelTrafo)))
 	}
 	if (Vloc >= 0) {
 		GLCK(glUniformMatrix4fv(Vloc, 1, GL_FALSE, glm::value_ptr(view)))
@@ -536,6 +515,7 @@ void Application::gui() {
 		density.setFrequency(densityFrequency);
 	if (ImGui::SliderFloat("Octave", &densityOctave, 1, 10, "%.0f", 1))
 		density.setOctave(densityOctave);
+	ImGui::Checkbox("Smooth", &smoothMesh);
 
 	//	if (ImGui::InputFloat("Frequency", &densityFrequency))
 //	if (ImGui::InputFloat("Octave", &densityOctave))
@@ -549,9 +529,17 @@ void Application::gui() {
 		texturemapper.setTextureSize(textureSizes[currentTextureSize]);
 	}
 
-	if (ImGui::Button("Generate")) {
+	if (meshProgress.isRunning()) {
-		generateAsteroid();
+		if (ImGui::Button("Cancel"))
-		uploadMesh();
+			meshProgress.cancel();
+		ImGui::Text("Task: %s", meshProgress.getTask().c_str());
+		ImGui::ProgressBar(meshProgress.getProgress());
+	} else {
+		if (meshProgress.isFinished() && meshThread.joinable())
+			meshThread.join();
+
+		if (ImGui::Button("Generate"))
+			meshThread = std::thread(&Application::generateAsteroid, this);
 	}
 	ImGui::End();
 
@@ -590,6 +578,14 @@ void Application::run() {
 		glDepthFunc(GL_LESS);
 		glEnable(GL_CULL_FACE);
 
+		if (meshUploadRequest) {
+			uploadMesh();
+			meshUploadRequest = false;
+		}
+		if (textureUploadRequest) {
+			uploadTexture();
+			textureUploadRequest = false;
+		}
 		prepareShader();
 		renderMesh();
 

src/Application.h

@@ -3,11 +3,13 @@
 #include "Density.h"
 #include "Polygoniser.h"
 #include "TextureMapper.h"
+#include "ProgressMonitor.h"
 
 #include <glm/mat4x4.hpp>
 #include <glm/vec3.hpp>
 
 #include <string>
+#include <thread>
 
 struct GLFWwindow;
 
@@ -29,10 +31,10 @@ class Application {
 	int vPositionLoc, vTexCoordLoc, vNormalLoc, tAlbedoLoc, tNormalLoc,
 			tRoughnessLoc, tMetalicLoc;
 
-	std::vector<glm::vec3> vertices;
+	vec3v_t vertices;
-	std::vector<glm::vec3> normals;
+	vec3v_t normals;
-	std::vector<glm::vec2> texcoords;
+	vec2v_t texcoords;
-	std::vector<glm::uvec3> indices;
+	uvec3v_t indices;
 
 	size_t meteoridCount;
 	float meteroidMinRadius;
@@ -41,12 +43,18 @@ class Application {
 	float densityFrequency, densityOctave;
 	glm::vec3 densityScale;
 	float resolution;
+	bool smoothMesh;
 
 	float viewDistance;
 
 	glm::mat4 fpsTrafo;
 	bool fpsMode;
 	double lastMouseX, lastMouseY;
+	glm::mat4 modelTrafo;
+
+	ProgressMonitor meshProgress, textureProgress;
+	std::thread meshThread, textureThread;
+	bool meshUploadRequest, textureUploadRequest;
 
 	void toogleFpsMode();
 public:
@@ -74,11 +82,10 @@ public:
 
 	void updateVertexArrayObject();
 
-	unsigned int loadProgram(const std::string &name);
-
 	void loadShader();
 
 	void uploadMesh();
+	void uploadTexture();
 
 	void renderMesh();
 

src/Density.h

@@ -53,6 +53,7 @@ public:
 
 	void setSeed(uint32_t seed) {
 		noise.reseed(seed);
+		version++;
 		impacts.clear();
 	}
 
@@ -77,7 +78,7 @@ public:
 	}
 
 	float operator()(const glm::vec3 &p, bool includeImpacts = true) const {
-		if (includeImpacts & impacts.size()) {
+		if (includeImpacts && impacts.size() > 0) {
 			bool insideImpact = false;
 			impactTree.Search(&p.x, &p.x, [&](int idx) -> bool {
 				if (impacts[idx].contains(p)) {
@@ -119,6 +120,7 @@ public:
 			Impact impact;
 			if (intersectIsolevel(start, end, impact.pos, isolevel,
 					resolution)) {
+				impact.pos -= (impact.r / 1.5f) * normalize(end-start);
 				impact.r = minRadius
 						+ pow(glm::linearRand(0.f, 1.f), exponent) * maxRadius;
 				addImpact(impact);

src/MarchingCube.cpp

@@ -0,0 +1,394 @@
+#include "MarchingCube.h"
+
+#include <math.h>
+
+using namespace glm;
+
+static const int edgeTable[256] = { 0x0, 0x109, 0x203, 0x30a, 0x406, 0x50f,
+		0x605, 0x70c, 0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00,
+		0x190, 0x99, 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, 0x99c, 0x895,
+		0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90, 0x230, 0x339, 0x33, 0x13a,
+		0x636, 0x73f, 0x435, 0x53c, 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33,
+		0xc39, 0xd30, 0x3a0, 0x2a9, 0x1a3, 0xaa, 0x7a6, 0x6af, 0x5a5, 0x4ac,
+		0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0, 0x460, 0x569,
+		0x663, 0x76a, 0x66, 0x16f, 0x265, 0x36c, 0xc6c, 0xd65, 0xe6f, 0xf66,
+		0x86a, 0x963, 0xa69, 0xb60, 0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0xff,
+		0x3f5, 0x2fc, 0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0,
+		0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x55, 0x15c, 0xe5c, 0xf55,
+		0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950, 0x7c0, 0x6c9, 0x5c3, 0x4ca,
+		0x3c6, 0x2cf, 0x1c5, 0xcc, 0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3,
+		0x9c9, 0x8c0, 0x8c0, 0x9c9, 0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc,
+		0xcc, 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9, 0x7c0, 0x950, 0x859,
+		0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c, 0x15c, 0x55, 0x35f, 0x256,
+		0x55a, 0x453, 0x759, 0x650, 0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff,
+		0xcf5, 0xdfc, 0x2fc, 0x3f5, 0xff, 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0,
+		0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f, 0xd65, 0xc6c, 0x36c, 0x265,
+		0x16f, 0x66, 0x76a, 0x663, 0x569, 0x460, 0xca0, 0xda9, 0xea3, 0xfaa,
+		0x8a6, 0x9af, 0xaa5, 0xbac, 0x4ac, 0x5a5, 0x6af, 0x7a6, 0xaa, 0x1a3,
+		0x2a9, 0x3a0, 0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c,
+		0x53c, 0x435, 0x73f, 0x636, 0x13a, 0x33, 0x339, 0x230, 0xe90, 0xf99,
+		0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c, 0x69c, 0x795, 0x49f, 0x596,
+		0x29a, 0x393, 0x99, 0x190, 0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f,
+		0x905, 0x80c, 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x0 };
+static const int triTable[256][16] = { { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+		-1, -1, -1, -1, -1, -1 }, { 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+		-1, -1, -1, -1 }, { 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+		-1, -1 }, { 1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+		{ 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0,
+				8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 9,
+				2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2,
+				8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1 }, { 3, 11,
+				2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0,
+				11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1,
+				9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1,
+				11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1 }, { 3,
+				10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0,
+				10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1 }, { 3,
+				9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1 }, { 9, 8,
+				10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4, 7,
+				8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+
+		{ 4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1, 9,
+				8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4, 1, 9, 4,
+				7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 10, 8, 4,
+				7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 4, 7, 3, 0, 4,
+				1, 2, 10, -1, -1, -1, -1, -1, -1, -1 }, { 9, 2, 10, 9, 0, 2, 8,
+				4, 7, -1, -1, -1, -1, -1, -1, -1 }, { 2, 10, 9, 2, 9, 7, 2, 7,
+				3, 7, 9, 4, -1, -1, -1, -1 }, { 8, 4, 7, 3, 11, 2, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1 }, { 11, 4, 7, 11, 2, 4, 2, 0, 4, -1,
+				-1, -1, -1, -1, -1, -1 }, { 9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1,
+				-1, -1, -1, -1, -1 }, { 4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1,
+				-1, -1, -1, -1 }, { 3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1,
+				-1, -1, -1, -1 }, { 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1,
+				-1, -1, -1 }, { 4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1,
+				-1, -1 }, { 4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1,
+				-1, -1 }, { 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1 }, { 9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1 }, { 0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1 }, { 8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1,
+				-1 }, { 1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1 },
+		{ 3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, { 5, 2, 10,
+				5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1 }, { 2, 10, 5, 3,
+				2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1 }, { 9, 5, 4, 2, 3, 11,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 11, 2, 0, 8, 11,
+				4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, { 0, 5, 4, 0, 1, 5, 2, 3,
+				11, -1, -1, -1, -1, -1, -1, -1 }, { 2, 1, 5, 2, 5, 8, 2, 8, 11,
+				4, 8, 5, -1, -1, -1, -1 }, { 10, 3, 11, 10, 1, 3, 9, 5, 4, -1,
+				-1, -1, -1, -1, -1, -1 }, { 4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11,
+				10, -1, -1, -1, -1 }, { 5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3,
+				-1, -1, -1, -1 }, { 5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1,
+				-1, -1, -1, -1 }, { 9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1 }, { 9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1,
+				-1, -1, -1 }, { 0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1,
+				-1, -1 }, { 1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1 }, { 9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1,
+				-1 }, { 10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1 }, {
+				8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1 }, { 2, 10,
+				5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, { 7, 9, 5, 7,
+				8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1 }, { 9, 5, 7, 9, 7,
+				2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, { 2, 3, 11, 0, 1, 8, 1,
+				7, 8, 1, 5, 7, -1, -1, -1, -1 }, { 11, 2, 1, 11, 1, 7, 7, 1, 5,
+				-1, -1, -1, -1, -1, -1, -1 }, { 9, 5, 8, 8, 5, 7, 10, 1, 3, 10,
+				3, 11, -1, -1, -1, -1 }, { 5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10,
+				11, 10, 0, -1 }, { 11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7,
+				0, -1 }, { 11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1 }, { 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1 }, { 0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1 }, { 9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1 }, { 1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1,
+				-1, -1 }, { 1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1 }, { 1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1,
+				-1 }, { 9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1 },
+		{ 5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1 }, { 2, 3, 11, 10,
+				6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 11, 0, 8, 11,
+				2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1, 9, 2, 3,
+				11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, { 5, 10, 6, 1, 9, 2,
+				9, 11, 2, 9, 8, 11, -1, -1, -1, -1 }, { 6, 3, 11, 6, 5, 3, 5, 1,
+				3, -1, -1, -1, -1, -1, -1, -1 }, { 0, 8, 11, 0, 11, 5, 0, 5, 1,
+				5, 11, 6, -1, -1, -1, -1 }, { 3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5,
+				9, -1, -1, -1, -1 }, { 6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1,
+				-1, -1, -1, -1 }, { 5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1 }, { 4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1,
+				-1, -1, -1 }, { 1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1,
+				-1, -1 },
+		{ 10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, { 6, 1, 2, 6,
+				5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 5, 5, 2, 6,
+				3, 0, 4, 3, 4, 7, -1, -1, -1, -1 }, { 8, 4, 7, 9, 0, 5, 0, 6, 5,
+				0, 2, 6, -1, -1, -1, -1 }, { 7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6,
+				2, 6, 9, -1 }, { 3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1,
+				-1, -1, -1 }, { 5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1,
+				-1, -1 },
+		{ 0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1 }, { 9, 2, 1, 9,
+				11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1 }, { 8, 4, 7, 3, 11, 5,
+				3, 5, 1, 5, 11, 6, -1, -1, -1, -1 }, { 5, 1, 11, 5, 11, 6, 1, 0,
+				11, 7, 11, 4, 0, 4, 11, -1 }, { 0, 5, 9, 0, 6, 5, 0, 3, 6, 11,
+				6, 3, 8, 4, 7, -1 }, { 6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1,
+				-1, -1, -1 }, { 10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1 }, { 4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1,
+				-1, -1 }, { 10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1,
+				-1 }, { 8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1 }, {
+				1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0,
+				8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1 }, { 0, 2, 4, 4, 2,
+				6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 8, 3, 2, 8, 2, 4,
+				4, 2, 6, -1, -1, -1, -1, -1, -1, -1 }, { 10, 4, 9, 10, 6, 4, 11,
+				2, 3, -1, -1, -1, -1, -1, -1, -1 }, { 0, 8, 2, 2, 8, 11, 4, 9,
+				10, 4, 10, 6, -1, -1, -1, -1 }, { 3, 11, 2, 0, 1, 6, 0, 6, 4, 6,
+				1, 10, -1, -1, -1, -1 }, { 6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11,
+				8, 11, 1, -1 }, { 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1,
+				-1, -1 }, { 8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1 },
+		{ 3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, { 6, 4, 8,
+				11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 7, 10, 6,
+				7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, { 0, 7, 3, 0,
+				10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1 }, { 10, 6, 7, 1, 10,
+				7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1 }, { 10, 6, 7, 10, 7, 1, 1,
+				7, 3, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 6, 1, 6, 8, 1, 8, 9,
+				8, 6, 7, -1, -1, -1, -1 }, { 2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3,
+				7, 3, 9, -1 }, { 7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1,
+				-1, -1 }, { 7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1 }, { 2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1,
+				-1 }, { 2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1 }, {
+				1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1 }, { 11, 2,
+				1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1 }, { 8, 9, 6, 8,
+				6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1 }, { 0, 9, 1, 11, 6, 7, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 7, 8, 0, 7, 0, 6, 3, 11,
+				0, 11, 6, 0, -1, -1, -1, -1 }, { 7, 11, 6, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1 }, { 7, 6, 11, -1, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0, 8, 11, 7, 6, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1, 9, 11, 7, 6, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 8, 1, 9, 8, 3, 1, 11, 7,
+				6, -1, -1, -1, -1, -1, -1, -1 }, { 10, 1, 2, 6, 11, 7, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 10, 3, 0, 8, 6, 11, 7,
+				-1, -1, -1, -1, -1, -1, -1 }, { 2, 9, 0, 2, 10, 9, 6, 11, 7, -1,
+				-1, -1, -1, -1, -1, -1 }, { 6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9,
+				8, -1, -1, -1, -1 }, { 7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1 }, { 7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1,
+				-1, -1, -1 }, { 2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1,
+				-1, -1 },
+		{ 1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1 }, { 10, 7, 6, 10,
+				1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, { 10, 7, 6, 1, 7,
+				10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1 }, { 0, 3, 7, 0, 7, 10, 0,
+				10, 9, 6, 10, 7, -1, -1, -1, -1 }, { 7, 6, 10, 7, 10, 8, 8, 10,
+				9, -1, -1, -1, -1, -1, -1, -1 }, { 6, 8, 4, 11, 8, 6, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 6, 11, 3, 0, 6, 0, 4, 6,
+				-1, -1, -1, -1, -1, -1, -1 }, { 8, 6, 11, 8, 4, 6, 9, 0, 1, -1,
+				-1, -1, -1, -1, -1, -1 }, { 9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6,
+				-1, -1, -1, -1 }, { 6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1,
+				-1, -1, -1 }, { 1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1,
+				-1, -1 }, { 4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1,
+				-1 }, { 10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1 }, {
+				8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, { 0, 4,
+				2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 9, 0,
+				2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1 }, { 1, 9, 4, 1, 4, 2,
+				2, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, { 8, 1, 3, 8, 6, 1, 8, 4,
+				6, 6, 10, 1, -1, -1, -1, -1 }, { 10, 1, 0, 10, 0, 6, 6, 0, 4,
+				-1, -1, -1, -1, -1, -1, -1 }, { 4, 6, 3, 4, 3, 8, 6, 10, 3, 0,
+				3, 9, 10, 9, 3, -1 }, { 10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1, -1 }, { 4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1, -1 }, { 0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1,
+				-1, -1, -1, -1 }, { 5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1,
+				-1, -1, -1 }, { 11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1,
+				-1 },
+		{ 9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, { 6, 11, 7,
+				1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1 }, { 7, 6, 11, 5, 4,
+				10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1 }, { 3, 4, 8, 3, 5, 4, 3,
+				2, 5, 10, 5, 2, 11, 7, 6, -1 }, { 7, 2, 3, 7, 6, 2, 5, 4, 9, -1,
+				-1, -1, -1, -1, -1, -1 }, { 9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7,
+				-1, -1, -1, -1 }, { 3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1,
+				-1, -1 }, { 6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1 }, {
+				9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1 }, { 1, 6,
+				10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1 }, { 4, 0, 10, 4, 10,
+				5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1 }, { 7, 6, 10, 7, 10, 8, 5,
+				4, 10, 4, 8, 10, -1, -1, -1, -1 }, { 6, 9, 5, 6, 11, 9, 11, 8,
+				9, -1, -1, -1, -1, -1, -1, -1 }, { 3, 6, 11, 0, 6, 3, 0, 5, 6,
+				0, 9, 5, -1, -1, -1, -1 }, { 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6,
+				11, -1, -1, -1, -1 }, { 6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1,
+				-1, -1, -1, -1 }, { 1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1,
+				-1, -1, -1 }, { 0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10,
+				-1 }, { 11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1 }, {
+				6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1 }, { 5, 8,
+				9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1 }, { 9, 5, 6, 9, 6,
+				0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, { 1, 5, 8, 1, 8, 0, 5,
+				6, 8, 3, 8, 2, 6, 2, 8, -1 }, { 1, 5, 6, 2, 1, 6, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1 }, { 1, 3, 6, 1, 6, 10, 3, 8, 6, 5,
+				6, 9, 8, 9, 6, -1 }, { 10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1,
+				-1, -1, -1 }, { 0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1 }, { 10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1 }, { 11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1 }, { 11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1,
+				-1, -1, -1, -1 }, { 5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1,
+				-1, -1, -1, -1 }, { 10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1,
+				-1, -1, -1 }, { 11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1,
+				-1, -1 },
+		{ 0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1 }, { 9, 7, 5, 9,
+				2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1 }, { 7, 5, 2, 7, 2, 11,
+				5, 9, 2, 3, 2, 8, 9, 8, 2, -1 }, { 2, 5, 10, 2, 3, 5, 3, 7, 5,
+				-1, -1, -1, -1, -1, -1, -1 }, { 8, 2, 0, 8, 5, 2, 8, 7, 5, 10,
+				2, 5, -1, -1, -1, -1 }, { 9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2,
+				-1, -1, -1, -1 }, { 9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5,
+				2, -1 }, { 1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1 }, { 0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1 },
+		{ 9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, { 9, 8, 7, 5,
+				9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 5, 8, 4, 5,
+				10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, { 5, 0, 4, 5,
+				11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1 }, { 0, 1, 9, 8, 4,
+				10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1 }, { 10, 11, 4, 10, 4,
+				5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1 }, { 2, 5, 1, 2, 8, 5, 2, 11,
+				8, 4, 5, 8, -1, -1, -1, -1 }, { 0, 4, 11, 0, 11, 3, 4, 5, 11, 2,
+				11, 1, 5, 1, 11, -1 }, { 0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8,
+				11, 8, 5, -1 }, { 9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1 }, { 2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1,
+				-1 },
+		{ 5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1 }, { 3, 10, 2,
+				3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1 }, { 5, 10, 2, 5, 2, 4,
+				1, 9, 2, 9, 4, 2, -1, -1, -1, -1 }, { 8, 4, 5, 8, 5, 3, 3, 5, 1,
+				-1, -1, -1, -1, -1, -1, -1 }, { 0, 4, 5, 1, 0, 5, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1 }, { 8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3,
+				5, -1, -1, -1, -1 }, { 9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1, -1 }, { 4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1,
+				-1, -1, -1, -1, -1 }, { 0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11,
+				-1, -1, -1, -1 }, { 1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1,
+				-1, -1, -1 }, { 3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4,
+				-1 }, { 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1 },
+		{ 9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1 }, { 11, 7, 4, 11,
+				4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1 }, { 11, 7, 4, 11, 4,
+				2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1 }, { 2, 9, 10, 2, 7, 9, 2,
+				3, 7, 7, 4, 9, -1, -1, -1, -1 }, { 9, 10, 7, 9, 7, 4, 10, 2, 7,
+				8, 7, 0, 2, 0, 7, -1 }, { 3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10,
+				0, 4, 0, 10, -1 }, { 1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1,
+				-1, -1, -1, -1 }, { 4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1,
+				-1, -1, -1 }, { 4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1,
+				-1 },
+		{ 4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4, 8, 7,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 9, 10,
+				8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0,
+				9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1,
+				10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1 }, { 3, 1,
+				10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2,
+				11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0, 9,
+				3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1 }, { 0, 2, 11, 8, 0,
+				11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 2, 11, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2, 3, 8, 2,
+				8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1 }, { 9, 10, 2, 0, 9,
+				2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2, 3, 8, 2, 8,
+				10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1 }, { 1, 10, 2, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 3, 8, 9, 1, 8,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 9, 1, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 3, 8, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { -1, -1, -1, -1, -1,
+				-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 } };
+
+/*
+ Linearly interpolate the position where an isosurface cuts
+ an edge between two vertices, each with their own scalar value
+ */
+XYZ VertexInterp(double isolevel, XYZ p1, XYZ p2, double valp1, double valp2) {
+	double mu;
+	XYZ p;
+	float dx = p2.x - p1.x;
+	float dy = p2.y - p1.y;
+	float dz = p2.z - p1.z;
+	float eps = sqrt(dx*dx+dy*dy+dz*dz) * 0.05;
+	if (fabs(isolevel - valp1) < eps)
+		return (p1);
+	if (fabs(isolevel - valp2) < eps)
+		return (p2);
+	if (fabs(valp1 - valp2) < 0.0001)
+		return (p1);
+
+	mu = (isolevel - valp1) / (valp2 - valp1);
+	p.x = p1.x + mu * dx;
+	p.y = p1.y + mu * dy;
+	p.z = p1.z + mu * dz;
+
+	return (p);
+}
+
+/*
+ Given a grid cell and an isolevel, calculate the triangular
+ facets required to represent the isosurface through the cell.
+ Return the number of triangular facets, the array "triangles"
+ will be loaded up with the vertices at most 5 triangular facets.
+ 0 will be returned if the grid cell is either totally above
+ of totally below the isolevel.
+ */
+int Polygonise(GRIDCELL &grid, double isolevel, TRIANGLE *triangles) {
+	int i, ntriang;
+	int cubeindex;
+	XYZ vertlist[12];
+
+	/*
+	 Determine the index into the edge table which
+	 tells us which vertices are inside of the surface
+	 */
+	cubeindex = 0;
+	if (grid.val[0] < isolevel)
+		cubeindex |= 1;
+	if (grid.val[1] < isolevel)
+		cubeindex |= 2;
+	if (grid.val[2] < isolevel)
+		cubeindex |= 4;
+	if (grid.val[3] < isolevel)
+		cubeindex |= 8;
+	if (grid.val[4] < isolevel)
+		cubeindex |= 16;
+	if (grid.val[5] < isolevel)
+		cubeindex |= 32;
+	if (grid.val[6] < isolevel)
+		cubeindex |= 64;
+	if (grid.val[7] < isolevel)
+		cubeindex |= 128;
+
+	/* Cube is entirely in/out of the surface */
+	if (edgeTable[cubeindex] == 0)
+		return (0);
+
+	/* Find the vertices where the surface intersects the cube */
+	if (edgeTable[cubeindex] & 1)
+		vertlist[0] = VertexInterp(isolevel, grid.p[0], grid.p[1], grid.val[0],
+				grid.val[1]);
+	if (edgeTable[cubeindex] & 2)
+		vertlist[1] = VertexInterp(isolevel, grid.p[1], grid.p[2], grid.val[1],
+				grid.val[2]);
+	if (edgeTable[cubeindex] & 4)
+		vertlist[2] = VertexInterp(isolevel, grid.p[2], grid.p[3], grid.val[2],
+				grid.val[3]);
+	if (edgeTable[cubeindex] & 8)
+		vertlist[3] = VertexInterp(isolevel, grid.p[3], grid.p[0], grid.val[3],
+				grid.val[0]);
+	if (edgeTable[cubeindex] & 16)
+		vertlist[4] = VertexInterp(isolevel, grid.p[4], grid.p[5], grid.val[4],
+				grid.val[5]);
+	if (edgeTable[cubeindex] & 32)
+		vertlist[5] = VertexInterp(isolevel, grid.p[5], grid.p[6], grid.val[5],
+				grid.val[6]);
+	if (edgeTable[cubeindex] & 64)
+		vertlist[6] = VertexInterp(isolevel, grid.p[6], grid.p[7], grid.val[6],
+				grid.val[7]);
+	if (edgeTable[cubeindex] & 128)
+		vertlist[7] = VertexInterp(isolevel, grid.p[7], grid.p[4], grid.val[7],
+				grid.val[4]);
+	if (edgeTable[cubeindex] & 256)
+		vertlist[8] = VertexInterp(isolevel, grid.p[0], grid.p[4], grid.val[0],
+				grid.val[4]);
+	if (edgeTable[cubeindex] & 512)
+		vertlist[9] = VertexInterp(isolevel, grid.p[1], grid.p[5], grid.val[1],
+				grid.val[5]);
+	if (edgeTable[cubeindex] & 1024)
+		vertlist[10] = VertexInterp(isolevel, grid.p[2], grid.p[6], grid.val[2],
+				grid.val[6]);
+	if (edgeTable[cubeindex] & 2048)
+		vertlist[11] = VertexInterp(isolevel, grid.p[3], grid.p[7], grid.val[3],
+				grid.val[7]);
+
+	/* Create the triangle */
+	ntriang = 0;
+	for (i = 0; triTable[cubeindex][i] != -1; i += 3) {
+		triangles[ntriang].p[0] = vertlist[triTable[cubeindex][i]];
+		triangles[ntriang].p[1] = vertlist[triTable[cubeindex][i + 1]];
+		triangles[ntriang].p[2] = vertlist[triTable[cubeindex][i + 2]];
+		ntriang++;
+	}
+
+	return (ntriang);
+}

src/MarchingCube.h

@@ -0,0 +1,16 @@
+#pragma once
+
+#include <glm/vec3.hpp>
+
+typedef glm::vec3 XYZ;
+
+struct TRIANGLE {
+	XYZ p[3];
+};
+
+struct GRIDCELL {
+	XYZ p[8];
+	double val[8];
+} ;
+
+int Polygonise(GRIDCELL &grid, double isolevel, TRIANGLE *triangles);

src/Mesh.cpp

@@ -3,16 +3,25 @@
 #include <glm/geometric.hpp>
 
 #include <map>
+#include <limits>
+#include <stack>
 
 using namespace std;
 using namespace glm;
 
-void calculateNormals(const vec3v_t &vtx, uvec3v_t &tri, vec3v_t &normals) {
+static const uvec3::value_type InvalidIndex =
+		numeric_limits<uvec3::value_type>::max();
+
+void calculateVertexNormals(const vec3v_t &positions, uvec3v_t &indices,
+		vec3v_t &normals) {
 	normals.clear();
-	normals.resize(vtx.size(), vec3(0));
+	normals.resize(positions.size(), vec3(0));
-	for (size_t i = 0; i < tri.size(); i++) {
+	#pragma omp parallel for
-		int a = tri[i].x, b = tri[i].y, c = tri[i].z;
+	for (size_t i = 0; i < indices.size(); i++) {
-		vec3 faceNormal = normalize(cross(vtx[b] - vtx[a], vtx[c] - vtx[a]));
+		int a = indices[i].x, b = indices[i].y, c = indices[i].z;
+		vec3 faceNormal = normalize(
+				cross(positions[b] - positions[a],
+						positions[c] - positions[a]));
 		normals[a] += faceNormal;
 		normals[b] += faceNormal;
 		normals[c] += faceNormal;
@@ -22,27 +31,40 @@ void calculateNormals(const vec3v_t &vtx, uvec3v_t &tri, vec3v_t &normals) {
 
 }
 
-void moveToMean(vec3v_t &vtx) {
+void calculateFaceNormals(const vec3v_t &positions, uvec3v_t &indices,
-	vec3 mean(0);
+		vec3v_t &normals) {
-	for (size_t i = 0; i < vtx.size(); i++) {
+	normals.clear();
-		mean += vtx[i];
+	normals.resize(indices.size(), vec3(uninitialize));
-	}
+	#pragma omp parallel for
-	mean *= vec3(1.f / vtx.size());
+	for (size_t i = 0; i < indices.size(); i++) {
-	for (size_t i = 0; i < vtx.size(); i++) {
+		int a = indices[i].x, b = indices[i].y, c = indices[i].z;
-		vtx[i] -= mean;
+		normals[i] = normalize(
+				cross(positions[b] - positions[a],
+						positions[c] - positions[a]));
 	}
 }
 
-void smooth(vec3v_t &vtx, const uvec3v_t &tri) {
+void moveToMean(vec3v_t &positions) {
-	vec3v_t cogs(vtx.size(), vec3(0.f));
+	vec3 mean(0);
-	vector<int> valence(vtx.size(), 0);
+	for (size_t i = 0; i < positions.size(); i++) {
+		mean += positions[i];
+	}
+	mean *= vec3(1.f / positions.size());
+	for (size_t i = 0; i < positions.size(); i++) {
+		positions[i] -= mean;
+	}
+}
 
-	for (size_t iTri = 0; iTri < tri.size(); iTri++) {
+void smooth(vec3v_t &positions, const uvec3v_t &indices) {
-		const uvec3 &idx = tri[iTri];
+	vec3v_t cogs(positions.size(), vec3(0.f));
+	vector<int> valence(positions.size(), 0);
+
+	for (size_t iTri = 0; iTri < indices.size(); iTri++) {
+		const uvec3 &idx = indices[iTri];
 		for (size_t iE = 0; iE < 3; iE++) {
 			valence[idx[iE]] += 2;
-			cogs[idx[iE]] += vtx[idx[(iE + 1) % 3]];
+			cogs[idx[iE]] += positions[idx[(iE + 1) % 3]];
-			cogs[idx[iE]] += vtx[idx[(iE + 2) % 3]];
+			cogs[idx[iE]] += positions[idx[(iE + 2) % 3]];
 		}
 	}
 	/*
@@ -61,10 +83,11 @@ void smooth(vec3v_t &vtx, const uvec3v_t &tri) {
 	 mesh.set_point(*v_it, *cog_it);
 
 	 */
-	for (size_t i = 0; i < vtx.size(); i++) {
+	#pragma omp parallel for
+	for (size_t i = 0; i < positions.size(); i++) {
 //		vtx[i] = vtx[i] * vec3(0.8)
 //				+ cogs[i] * vec3(0.2f / valence[i]);
-		vtx[i] = cogs[i] * vec3(1.f / valence[i]);
+		positions[i] = cogs[i] * vec3(1.f / valence[i]);
 	}
 }
 
@@ -81,12 +104,12 @@ void saveAttrib(std::ostream &out, const char *prefix, vec2v_t &elements) {
 	}
 }
 
-void saveFaces(std::ostream &out, const uvec3v_t &tris, size_t attribs) {
+void saveFaces(std::ostream &out, const uvec3v_t &incdices, size_t attribs) {
-	for (size_t i = 0; i < tris.size(); i++) {
+	for (size_t i = 0; i < incdices.size(); i++) {
 		out << "f";
 
 		for (size_t j = 0; j < 3; j++) {
-			int v = tris[i][j] + 1;
+			int v = incdices[i][j] + 1;
 			out << " " << v;
 			if (attribs > 1)
 				out << "/" << v;
@@ -99,39 +122,43 @@ void saveFaces(std::ostream &out, const uvec3v_t &tris, size_t attribs) {
 	}
 }
 
-void findEdges(const vec3v_t &vtx, uvec3v_t &tri, uvec4v_t &edges) {
+void findEdges(const vec3v_t &positions, const uvec3v_t &indices,
+		uvec4v_t &edges) {
 	edges.clear();
 	map<pair<uint32_t, uint32_t>, uint32_t> edgeMap;
-	for (size_t iTri = 0; iTri < tri.size(); iTri++) {
+	for (size_t iTri = 0; iTri < indices.size(); iTri++) {
-		uvec3 idx = tri[iTri];
+		uvec3 idx = indices[iTri];
 		for (size_t k = 0; k < 3; k++) {
 			int a = idx[k];
 			int b = idx[(k + 1) % 3];
 			uvec4 edge1(std::min(a, b), std::max(a, b), iTri, 0);
-			auto it1 = edgeMap.find(std::make_pair(edge1.x, edge1.y));
+			auto key = std::make_pair(edge1.x, edge1.y);
+			auto it1 = edgeMap.find(key);
 			if (it1 != edgeMap.end()) {
-				edges[it1->second].z = iTri;
+				edges[it1->second].w = iTri;
 			} else {
+				size_t idx = edges.size();
 				edges.push_back(edge1);
+				edgeMap[key] = idx;
 			}
 		}
 	}
 }
 
-void computeTangentBasis(vec3v_t & vertices, vec2v_t & uvs, vec3v_t & normals,
+void computeTangentBasis(vec3v_t & positions, vec2v_t & texcoords,
-		vec3v_t & tangents, vec3v_t & bitangents) {
+		vec3v_t & normals, vec3v_t & tangents, vec3v_t & bitangents) {
 
-	for (size_t i = 0; i < vertices.size(); i += 3) {
+	for (size_t i = 0; i < positions.size(); i += 3) {
 
 		// Shortcuts for vertices
-		vec3 & v0 = vertices[i + 0];
+		vec3 & v0 = positions[i + 0];
-		vec3 & v1 = vertices[i + 1];
+		vec3 & v1 = positions[i + 1];
-		vec3 & v2 = vertices[i + 2];
+		vec3 & v2 = positions[i + 2];
 
 		// Shortcuts for UVs
-		vec2 & uv0 = uvs[i + 0];
+		vec2 & uv0 = texcoords[i + 0];
-		vec2 & uv1 = uvs[i + 1];
+		vec2 & uv1 = texcoords[i + 1];
-		vec2 & uv2 = uvs[i + 2];
+		vec2 & uv2 = texcoords[i + 2];
 
 		// Edges of the triangle : postion delta
 		vec3 deltaPos1 = v1 - v0;
@@ -157,3 +184,85 @@ void computeTangentBasis(vec3v_t & vertices, vec2v_t & uvs, vec3v_t & normals,
 
 	}
 }
+
+void findAdjacent(const uvec4v_t &edges, size_t nFaces, uvec3v_t &adjacents) {
+	printf("findAdjacent: %lu\n", nFaces);
+	adjacents.resize(nFaces, uvec3(InvalidIndex));
+	for (size_t i = 0; i < edges.size(); i++) {
+		int a = edges[i].z;
+		int b = edges[i].w;
+
+		uvec3 &aa = adjacents[a];
+		for (size_t j = 0; j < 3; j++) {
+			if (aa[j] == InvalidIndex) {
+				aa[j] = b;
+				break;
+			}
+		}
+		uvec3 &ab = adjacents[b];
+		for (size_t j = 0; j < 3; j++) {
+			if (ab[j] == InvalidIndex) {
+				ab[j] = a;
+				break;
+			}
+		}
+	}
+}
+
+void createPatches(const vec3v_t &positions, const uvec3v_t &indices,
+		const vec3v_t &faceNormals, const uvec3v_t &adjacents,
+		vec3v_t &oPositions, uvec3v_t &oIndices, uintv_t &patches,
+		float threshold) {
+	assert(adjacents.size() == indices.size());
+	patches.clear();
+	oPositions.clear();
+	oIndices.clear();
+	vector<bool> processed(indices.size(), false);
+
+	for (size_t i = 0; i < indices.size(); i++) {
+		if (processed[i])
+			continue;
+		vector<uint32_t> faces;
+		map<uint32_t, uint32_t> vertexMap;
+
+		vec3 normal = faceNormals[i];
+
+		// check all adjacent faces
+		stack<uint32_t> facesToCheck;
+		facesToCheck.push(i);
+		while (facesToCheck.size()) {
+			uint32_t face = facesToCheck.top();
+			facesToCheck.pop();
+			if (face == InvalidIndex || processed[face])
+				continue;
+			if (dot(normal, faceNormals[face]) > threshold) {
+				faces.push_back(face);
+				//normal = normalize(normal + 0.5f * faceNormals[face]);
+				processed[face] = true;
+				facesToCheck.push(adjacents[face].x);
+				facesToCheck.push(adjacents[face].y);
+				facesToCheck.push(adjacents[face].z);
+			}
+		}
+
+		// fill new arrays
+		for (size_t j = 0; j < faces.size(); j++) {
+			uvec3 idx = indices[faces[j]];
+			for (size_t k = 0; k < 3; k++) {
+				auto it = vertexMap.find(idx[k]);
+				if (it == vertexMap.end()) {
+					uint32_t newIdx = oPositions.size();
+					oPositions.push_back(positions[idx[k]]);
+					vertexMap[idx[k]] = newIdx;
+					idx[k] = newIdx;
+				} else {
+					idx[k] = it->second;
+				}
+			}
+			oIndices.push_back(idx);
+		}
+		printf("\n");
+	}
+
+}
+

src/Mesh.h

@@ -1,28 +1,35 @@
 #pragma once
 
+#include "types.h"
+
 #include <vector>
 #include <ostream>
 
-#include <glm/vec3.hpp>
+void calculateVertexNormals(const vec3v_t &positions, uvec3v_t &indices,
-#include <glm/vec4.hpp>
+		vec3v_t &normals);
+void calculateFaceNormals(const vec3v_t &positions, uvec3v_t &indices,
+		vec3v_t &normals);
+void findEdges(const vec3v_t &positions, const uvec3v_t &indices,
+		uvec4v_t &edges);
+//void createPatches(const vec3v_t &positions, const uvec3v_t &indices,
+//		const uvec4v_t &edges, vec3v_t &oPositions, uvec3v_t &oIndices,
+//		uvec4v_t &oEdges, uintv_t &patches, float threshold);
 
-typedef std::vector<glm::vec3> vec3v_t;
+void moveToMean(vec3v_t &positions);
-typedef std::vector<glm::vec2> vec2v_t;
-typedef std::vector<glm::uvec3> uvec3v_t;
-typedef std::vector<glm::uvec4> uvec4v_t;
 
-void calculateNormals(const vec3v_t &vtx, uvec3v_t &tri, vec3v_t &normals);
+void smooth(vec3v_t &positions, const uvec3v_t &indices);
-void findEdges(const vec3v_t &vtx, uvec3v_t &tri, uvec4v_t &edges);
-
-void moveToMean(vec3v_t &vtx);
-
-void smooth(vec3v_t &vtx, const uvec3v_t &tri);
 
 void saveAttrib(std::ostream &out, const char *prefix, vec3v_t &elements);
 
 void saveAttrib(std::ostream &out, const char *prefix, vec2v_t &elements);
 
-void saveFaces(std::ostream &out, const uvec3v_t &tris, size_t attribs);
+void saveFaces(std::ostream &out, const uvec3v_t &indicess, size_t attributes);
 
-void computeTangentBasis(vec3v_t & vertices, vec2v_t & uvs, vec3v_t & normals,
+void findAdjacent(const uvec4v_t &edges, size_t nFaces, uvec3v_t &adjacents);
-		vec3v_t & tangents, vec3v_t & bitangents);
+
+void computeTangentBasis(vec3v_t & vertices, vec2v_t & texcoords,
+		vec3v_t & normals, vec3v_t & tangents, vec3v_t & bitangents);
+void createPatches(const vec3v_t &positions, const uvec3v_t &indices,
+		const vec3v_t &faceNormals, const uvec3v_t &adjacents,
+		vec3v_t &oPositions, uvec3v_t &oIndices, uintv_t &patches,
+		float threshold);

src/Polygoniser.cpp

@@ -5,31 +5,33 @@
 
 #include <glm/gtc/epsilon.hpp>
 
-#include <MarchingCube.h>
+#include "MarchingCube.h"
 
-static const int isocells = 32;
+using namespace glm;
+
+#define ISOCELL 0
+static const int isocells = 50;
 
 Polygonizer::Polygonizer(Density &density, float isolevel) :
-		density(density), isolevel(isolevel) {
+		density(density), isolevel(isolevel), isocellIsolevel(0), isocellVersion(
-	updateIsocell();
+				0) {
 }
 
 void Polygonizer::setIsoLevel(float isolevel) {
-	bool needIsocellUpdate = false;
+	this->isolevel = isolevel;
-	if (this->isolevel != isolevel) {
-		this->isolevel = isolevel;
-		needIsocellUpdate = true;
-	}
-	needIsocellUpdate |= (isocellVersion != density.getVersion());
-	if (needIsocellUpdate)
-		updateIsocell();
 }
 
+#if ISOCELL
 void Polygonizer::updateIsocell() {
+	if (density.getVersion() == isocellVersion && isocellIsolevel == isolevel)
+	return;
 	isocell.clear();
-	isocell.reserve(isocells * isocells * isocells);
+	isocell.resize(isocells * isocells * isocells);
 
-	float step = 1. / isocells;
+	const float lowerIso = isolevel * 0.7;
+	const float upperIso = isolevel * 1.3;
+	const float step = 1. / isocells;
+#pragma omp parallel for
 	for (size_t ix = 0; ix < isocells; ix++) {
 		float xmin = ix * step;
 		float xmax = xmin + step;
@@ -41,10 +43,10 @@ void Polygonizer::updateIsocell() {
 			float Xyz = density(vec3(xmax, ymin, 0));
 			float xYz = density(vec3(xmin, ymax, 0));
 			float XYz = density(vec3(xmax, ymax, 0));
-			bool zAllUnder = (xyz < isolevel) && (Xyz < isolevel)
+			bool zAllUnder = (xyz < lowerIso) && (Xyz < lowerIso)
-					&& (xYz < isolevel) && (XYz < isolevel);
+			&& (xYz < lowerIso) && (XYz < lowerIso);
-			bool zAllOver = (xyz > isolevel) && (Xyz > isolevel)
+			bool zAllOver = (xyz > upperIso) && (Xyz > upperIso)
-					&& (xYz > isolevel) && (XYz > isolevel);
+			&& (xYz > upperIso) && (XYz > upperIso);
 
 			for (size_t iz = 0; iz < isocells; iz++) {
 				float zmin = iz * step;
@@ -54,13 +56,13 @@ void Polygonizer::updateIsocell() {
 				float XyZ = density(vec3(xmax, ymin, zmax));
 				float xYZ = density(vec3(xmin, ymax, zmax));
 				float XYZ = density(vec3(xmax, ymax, zmax));
-				bool ZAllUnder = (xyZ < isolevel) && (XyZ < isolevel)
+				bool ZAllUnder = (xyZ < lowerIso) && (XyZ < lowerIso)
-						&& (xYZ < isolevel) && (XYZ < isolevel);
+				&& (xYZ < lowerIso) && (XYZ < lowerIso);
-				bool ZAllOver = (xyZ > isolevel) && (XyZ > isolevel)
+				bool ZAllOver = (xyZ > upperIso) && (XyZ > upperIso)
-						&& (xYZ > isolevel) && (XYZ > isolevel);
+				&& (xYZ > upperIso) && (XYZ > upperIso);
 
 				isocell[ix * isocells * isocells + iy * isocells + iz] =
-						(zAllUnder && ZAllUnder) || (zAllOver && ZAllOver);
+				!((zAllUnder && ZAllUnder) || (zAllOver && ZAllOver));
 
 				xyz = xyZ;
 				Xyz = XyZ;
@@ -71,19 +73,25 @@ void Polygonizer::updateIsocell() {
 			}
 		}
 	}
+
+	size_t n = 0;
+	for(size_t i = 0; i < isocell.size(); i++)
+	if(isocell[i]) n++;
+	printf("%lu / %lu", n, isocell.size());
 	isocellVersion = density.getVersion();
+	isocellIsolevel = isolevel;
 }
 
-void Polygonizer::polygonize(const glm::vec3 lower, const glm::vec3 upper,
+void Polygonizer::polygonize(const vec3 &lower, const vec3 &upper,
 		float resolution) {
 
-	size_t nSteps = 1.f / resolution - 1;
+	vec3 l = round(lower * vec3(1.f / resolution));
-	size_t nT = 0;
+	vec3 u = round(upper * vec3(1.f / resolution));
-	for (size_t ix = 0; ix < nSteps; ix++) {
+	for (size_t ix = l.x; ix < u.x; ix++) {
 		double x = (double(ix) + 0.5) * resolution;
-		for (size_t iy = 0; iy < nSteps; iy++) {
+		for (size_t iy = l.y; iy < u.y; iy++) {
 			double y = (double(iy) + 0.5) * resolution;
-			for (size_t iz = 0; iz < nSteps; iz++) {
+			for (size_t iz = l.z; iz < u.z; iz++) {
 				double z = (double(iz) + 0.5) * resolution;
 
 				GRIDCELL gridCell;
@@ -103,7 +111,6 @@ void Polygonizer::polygonize(const glm::vec3 lower, const glm::vec3 upper,
 
 				TRIANGLE tris[6];
 				int nTris = Polygonise(gridCell, isolevel, tris);
-				nT += nTris;
 				for (int iTri = 0; iTri < nTris; iTri++) {
 					vec3 *ps = tris[iTri].p;
 
@@ -111,13 +118,13 @@ void Polygonizer::polygonize(const glm::vec3 lower, const glm::vec3 upper,
 					if (all(epsilonEqual(ps[0], ps[1], 1e-8f))
 							|| all(epsilonEqual(ps[0], ps[2], 1e-8f))
 							|| all(epsilonEqual(ps[2], ps[1], 1e-8f)))
-						continue;
+					continue;
 
-					glm::uvec3 idc;
+					uvec3 idc;
 					for (size_t k = 0; k < 3; k++) {
-						glm::vec3 &p = tris[iTri].p[k];
+						vec3 &p = tris[iTri].p[k];
-						std::map<glm::vec3, int>::iterator vit =
+						std::map<vec3, int>::iterator vit = vertexLookup.find(
-								vertexLookup.find(p);
+								p);
 						if (vit != vertexLookup.end()) {
 							idc[k] = vit->second;
 						} else {
@@ -138,36 +145,116 @@ void Polygonizer::polygonize(float resolution) {
 	vertices.clear();
 	indices.clear();
 
-// coarse scan
+	const float isocellSize = 1.f / isocells;
-	float coarseResolution = resolution * 10;
+	if (resolution < isocellSize) {
+		updateIsocell();
 
-	size_t nSteps = 1.f / resolution - 1;
+		vec3 lower, upper;
-	size_t nT = 0;
+		for (size_t ix = 0; ix < isocells - 1; ix++) {
-	for (size_t ix = 0; ix < nSteps; ix++) {
+			lower.x = double(ix) * isocellSize;
-		double x = (double(ix) + 0.5) * resolution;
+			upper.x = lower.x + isocellSize;
-		for (size_t iy = 0; iy < nSteps; iy++) {
+			for (size_t iy = 0; iy < isocells - 1; iy++) {
-			double y = (double(iy) + 0.5) * resolution;
+				lower.y = (double(iy) + 0.5) * isocellSize;
-			for (size_t iz = 0; iz < nSteps; iz++) {
+				upper.y = lower.y + isocellSize;
-				double z = (double(iz) + 0.5) * resolution;
+				for (size_t iz = 0; iz < isocells - 1; iz++) {
+					if (!isocell[ix * isocells * isocells + iy * isocells + iz])
+					continue;
+					lower.z = (double(iz) + 0.5) * isocellSize;
+					upper.z = lower.z + isocellSize;
 
-				GRIDCELL gridCell;
+					polygonize(lower, upper, resolution);
-				gridCell.p[0] = vec3(x, y, z);
-				gridCell.p[1] = vec3(x + resolution, y, z);
-				gridCell.p[2] = vec3(x + resolution, y + resolution, z);
-				gridCell.p[3] = vec3(x, y + resolution, z);
-				gridCell.p[4] = vec3(x, y, z + resolution);
-				gridCell.p[5] = vec3(x + resolution, y, z + resolution);
-				gridCell.p[6] = vec3(x + resolution, y + resolution,
-						z + resolution);
-				gridCell.p[7] = vec3(x, y + resolution, z + resolution);
-
-				for (size_t iCell = 0; iCell < 8; iCell++) {
-					gridCell.val[iCell] = density(gridCell.p[iCell]);
 				}
+			}
+		}
+	} else {
+		polygonize(vec3(0.f), vec3(1.0f), resolution);
+	}
+}
+
+#else
+void Polygonizer::calculateLayer(std::vector<float> &layer, float resolution,
+		size_t nSamples, float z) {
+#pragma omp parallel for
+	for (size_t iy = 0; iy < nSamples; iy++) {
+		float y = iy * resolution;
+		size_t offset = iy * nSamples;
+		for (size_t ix = 0; ix < nSamples; ix++) {
+			float x = ix * resolution;
+			layer[offset + ix] = density(glm::vec3(x, y, z));
+		}
+	}
+}
+
+void Polygonizer::polygonize(float resolution, ProgressMonitor &progress) {
+	vertexLookup.clear();
+	vertices.clear();
+	indices.clear();
+
+	vertices.reserve(pow(1. / resolution, 2) * 8);
+	indices.reserve(pow(1. / resolution, 2) * 8);
+	size_t nSteps = 1.f / resolution;
+	size_t nSamples = nSteps + 1;
+
+	// precalculate 2 layers
+	std::vector<float> layers[2];
+	layers[0].resize(nSamples * nSamples);
+	layers[1].resize(nSamples * nSamples);
+
+	calculateLayer(layers[0], resolution, nSamples, 0.0);
+
+	progress.begin("Polygonize", nSteps);
+
+	for (size_t iz = 0; iz < nSteps; iz++) {
+		std::vector<float> &zLayer = layers[iz % 2];
+		std::vector<float> &ZLayer = layers[(iz + 1) % 2];
+		float z = iz * resolution;
+		float Z = z + resolution;
+		calculateLayer(ZLayer, resolution, nSamples, Z);
+
+		if (!progress.advance())
+			break;
+
+		for (size_t iy = 0; iy < nSteps; iy++) {
+			float y = iy * resolution;
+			float Y = y + resolution;
+			size_t yOffset = iy * nSamples;
+			size_t YOffset = yOffset + nSamples;
+
+			GRIDCELL gridCell;
+			gridCell.p[0] = vec3(0, y, z);
+			gridCell.p[1] = vec3(0, y, z);
+			gridCell.p[2] = vec3(0, Y, z);
+			gridCell.p[3] = vec3(0, Y, z);
+			gridCell.p[4] = vec3(0, y, Z);
+			gridCell.p[5] = vec3(0, y, Z);
+			gridCell.p[6] = vec3(0, Y, Z);
+			gridCell.p[7] = vec3(0, Y, Z);
+
+			for (size_t ix = 0; ix < nSteps; ix++) {
+				float x = ix * resolution;
+				float X = x + resolution;
+
+				gridCell.p[0].x = x;
+				gridCell.p[1].x = X;
+				gridCell.p[2].x = X;
+				gridCell.p[3].x = x;
+				gridCell.p[4].x = x;
+				gridCell.p[5].x = X;
+				gridCell.p[6].x = X;
+				gridCell.p[7].x = x;
+
+				gridCell.val[0] = zLayer[yOffset + ix];
+				gridCell.val[1] = zLayer[yOffset + ix + 1];
+				gridCell.val[2] = zLayer[YOffset + ix + 1];
+				gridCell.val[3] = zLayer[YOffset + ix];
+
+				gridCell.val[4] = ZLayer[yOffset + ix];
+				gridCell.val[5] = ZLayer[yOffset + ix + 1];
+				gridCell.val[6] = ZLayer[YOffset + ix + 1];
+				gridCell.val[7] = ZLayer[YOffset + ix];
 
 				TRIANGLE tris[6];
 				int nTris = Polygonise(gridCell, isolevel, tris);
-				nT += nTris;
 				for (int iTri = 0; iTri < nTris; iTri++) {
 					vec3 *ps = tris[iTri].p;
 
@@ -177,11 +264,11 @@ void Polygonizer::polygonize(float resolution) {
 							|| all(epsilonEqual(ps[2], ps[1], 1e-8f)))
 						continue;
 
-					glm::uvec3 idc;
+					uvec3 idc;
 					for (size_t k = 0; k < 3; k++) {
-						glm::vec3 &p = tris[iTri].p[k];
+						vec3 &p = tris[iTri].p[k];
-						std::map<glm::vec3, int>::iterator vit =
+						std::map<vec3, int>::iterator vit = vertexLookup.find(
-								vertexLookup.find(p);
+								p);
 						if (vit != vertexLookup.end()) {
 							idc[k] = vit->second;
 						} else {
@@ -197,3 +284,75 @@ void Polygonizer::polygonize(float resolution) {
 	}
 
 }
+
+//void Polygonizer::polygonize(float resolution) {
+//	vertexLookup.clear();
+//	vertices.clear();
+//	indices.clear();
+//
+//	size_t nSteps = 1.f / resolution;
+//	size_t nSamples = nSteps + 1;
+//
+//	// precalculate 2 layers
+//	std::vector<float> layers[2];
+//	layers[0].resize(nSamples*nSamples);
+//	layers[1].resize(nSamples*nSamples);
+//
+//	calculateLayer(layers[0], resolution, nSamples, 0.0);
+//
+//	size_t nT = 0;
+//	for (size_t ix = 0; ix < nSteps; ix++) {
+//		double x = (double(ix) + 0.5) * resolution;
+//		for (size_t iy = 0; iy < nSteps; iy++) {
+//			double y = (double(iy) + 0.5) * resolution;
+//			for (size_t iz = 0; iz < nSteps; iz++) {
+//				double z = (double(iz) + 0.5) * resolution;
+//
+//				GRIDCELL gridCell;
+//				gridCell.p[0] = vec3(x, y, z);
+//				gridCell.p[1] = vec3(x + resolution, y, z);
+//				gridCell.p[2] = vec3(x + resolution, y + resolution, z);
+//				gridCell.p[3] = vec3(x, y + resolution, z);
+//				gridCell.p[4] = vec3(x, y, z + resolution);
+//				gridCell.p[5] = vec3(x + resolution, y, z + resolution);
+//				gridCell.p[6] = vec3(x + resolution, y + resolution,
+//						z + resolution);
+//				gridCell.p[7] = vec3(x, y + resolution, z + resolution);
+//
+//				for (size_t iCell = 0; iCell < 8; iCell++) {
+//					gridCell.val[iCell] = density(gridCell.p[iCell]);
+//				}
+//
+//				TRIANGLE tris[6];
+//				int nTris = Polygonise(gridCell, isolevel, tris);
+//				nT += nTris;
+//				for (int iTri = 0; iTri < nTris; iTri++) {
+//					vec3 *ps = tris[iTri].p;
+//
+//					// skip degenerate vertices
+//					if (all(epsilonEqual(ps[0], ps[1], 1e-8f))
+//							|| all(epsilonEqual(ps[0], ps[2], 1e-8f))
+//							|| all(epsilonEqual(ps[2], ps[1], 1e-8f)))
+//					continue;
+//
+//					uvec3 idc;
+//					for (size_t k = 0; k < 3; k++) {
+//						vec3 &p = tris[iTri].p[k];
+//						std::map<vec3, int>::iterator vit = vertexLookup.find(
+//								p);
+//						if (vit != vertexLookup.end()) {
+//							idc[k] = vit->second;
+//						} else {
+//							idc[k] = vertices.size();
+//							vertices.push_back(p);
+//							vertexLookup[p] = idc[k];
+//						}
+//					}
+//					indices.push_back(idc);
+//				}
+//			}
+//		}
+//	}
+//
+//}
+#endif

src/Polygoniser.h

@@ -3,9 +3,9 @@
 #include <vector>
 #include <map>
 
-#include <glm/vec3.hpp>
+#include "types.h"
-
 #include "Density.h"
+#include "ProgressMonitor.h"
 
 struct CompareVec3 {
 	bool operator()(const glm::vec3 &lhs, const glm::vec3 &rhs) {
@@ -36,20 +36,26 @@ struct CompareVec3 {
 class Polygonizer {
 	Density &density;
 	float isolevel;
-public:
-	std::vector<glm::vec3> vertices;
-	std::vector<glm::uvec3> indices;
-	std::map<glm::vec3, int, CompareVec3> vertexLookup;
 
 	std::vector<bool> isocell;
 	size_t isocellVersion;
+	float isocellIsolevel;
+
+	void polygonize(const glm::vec3 &lower, const glm::vec3 &upper,
+			float isolevel);
+
+	void calculateLayer(std::vector<float> &layer, float resolution, size_t nSamples, float z);
+
+public:
+	vec3v_t vertices;
+	uvec3v_t indices;
+	std::map<glm::vec3, int, CompareVec3> vertexLookup;
+
 
 	Polygonizer(Density &density, float isolevel);
 	void setIsoLevel(float isolevel);
 
 	void updateIsocell();
 
-	void polygonize(float resolution);
+	void polygonize(float resolution, ProgressMonitor &progress);
-	void polygonize(const glm::vec3 lower, const glm::vec3 upper,
-			float isolevel);
 };

src/ProgressMonitor.h

@@ -0,0 +1,77 @@
+#pragma once
+
+#include <string>
+
+class ProgressMonitor {
+public:
+	ProgressMonitor() :
+			finished(false), running(false), canceled(false), steps(0), currentStep(
+					0) {
+
+	}
+
+	bool begin(std::string task, size_t steps) {
+		if (canceled)
+			return false;
+		this->task = task;
+		this->steps = steps;
+		this->running = true;
+		finished = false;
+		currentStep = 0;
+		return true;
+	}
+
+	bool advance(size_t count = 1) {
+		currentStep += count;
+		return !canceled;
+	}
+
+	size_t getSteps() {
+		return steps;
+	}
+
+	size_t getCurrentStep() {
+		return currentStep;
+	}
+
+	float getProgress() {
+		return float(currentStep) / float(steps);
+	}
+
+	void finish() {
+		task = "Finished";
+		currentStep = 0;
+		steps = 0;
+		running = false;
+		finished = true;
+		canceled = false;
+	}
+
+	void cancel() {
+		canceled = true;
+	}
+
+	std::string &getTask() {
+		return task;
+	}
+
+	bool isFinished() {
+		return finished;
+	}
+
+	bool isRunning() {
+		return running;
+	}
+
+	bool isCanceled() {
+		return canceled;
+	}
+
+protected:
+	bool finished;
+	bool running;
+	bool canceled;
+	std::string task;
+	size_t steps;
+	size_t currentStep;
+};

src/Shader.cpp

@@ -0,0 +1,105 @@
+#include "Shader.h"
+
+#include <glad/glad.h>
+#include <fstream>
+#include <iostream>
+#include <vector>
+
+using namespace std;
+
+GLuint loadProgram(const string &name) {
+
+	// Create the shaders
+	GLuint VertexShaderID = glCreateShader(GL_VERTEX_SHADER);
+	GLuint FragmentShaderID = glCreateShader(GL_FRAGMENT_SHADER);
+
+	// Read the Vertex Shader code from the file
+	string VertexShaderCode;
+	string vertex_file_path = "shader/" + name + ".vertex.glsl";
+	ifstream VertexShaderStream(vertex_file_path, ios::in);
+	if (VertexShaderStream.is_open()) {
+		string Line = "";
+		while (getline(VertexShaderStream, Line))
+			VertexShaderCode += "\n" + Line;
+		VertexShaderStream.close();
+	} else {
+		cout << "Failed to open " << vertex_file_path << endl;
+		return 0;
+	}
+
+	// Read the Fragment Shader code from the file
+	string FragmentShaderCode;
+	string fragment_file_path = "shader/" + name + ".fragment.glsl";
+	ifstream FragmentShaderStream(fragment_file_path, ios::in);
+	if (FragmentShaderStream.is_open()) {
+		string Line = "";
+		while (getline(FragmentShaderStream, Line))
+			FragmentShaderCode += "\n" + Line;
+		FragmentShaderStream.close();
+	} else {
+		cout << "Failed to open " << vertex_file_path << endl;
+		return 0;
+	}
+
+	GLint Result = GL_FALSE;
+	int InfoLogLength;
+
+	// Compile Vertex Shader
+	cout << "Compiling vertex shader : " << name << endl;
+	char const * VertexSourcePointer = VertexShaderCode.c_str();
+	glShaderSource(VertexShaderID, 1, &VertexSourcePointer, NULL);
+	glCompileShader(VertexShaderID);
+
+	// Check Vertex Shader
+	glGetShaderiv(VertexShaderID, GL_COMPILE_STATUS, &Result);
+	glGetShaderiv(VertexShaderID, GL_INFO_LOG_LENGTH, &InfoLogLength);
+	if (InfoLogLength > 0) {
+		vector<char> VertexShaderErrorMessage(InfoLogLength + 1);
+		glGetShaderInfoLog(VertexShaderID, InfoLogLength, NULL,
+				&VertexShaderErrorMessage[0]);
+		printf("%s\n", &VertexShaderErrorMessage[0]);
+	}
+
+	// Compile Fragment Shader
+	cout << "Compiling fragment shader : " << name << endl;
+
+	char const * FragmentSourcePointer = FragmentShaderCode.c_str();
+	glShaderSource(FragmentShaderID, 1, &FragmentSourcePointer, NULL);
+	glCompileShader(FragmentShaderID);
+
+	// Check Fragment Shader
+	glGetShaderiv(FragmentShaderID, GL_COMPILE_STATUS, &Result);
+	glGetShaderiv(FragmentShaderID, GL_INFO_LOG_LENGTH, &InfoLogLength);
+	if (InfoLogLength > 0) {
+		vector<char> FragmentShaderErrorMessage(InfoLogLength + 1);
+		glGetShaderInfoLog(FragmentShaderID, InfoLogLength, NULL,
+				&FragmentShaderErrorMessage[0]);
+		printf("%s\n", &FragmentShaderErrorMessage[0]);
+	}
+
+	// Link the program
+	cout << "Linking program : " << name << endl;
+
+	GLuint ProgramID = glCreateProgram();
+	glAttachShader(ProgramID, VertexShaderID);
+	glAttachShader(ProgramID, FragmentShaderID);
+	glLinkProgram(ProgramID);
+
+	// Check the program
+	glGetProgramiv(ProgramID, GL_LINK_STATUS, &Result);
+	glGetProgramiv(ProgramID, GL_INFO_LOG_LENGTH, &InfoLogLength);
+	if (InfoLogLength > 0) {
+		vector<char> ProgramErrorMessage(InfoLogLength + 1);
+		glGetProgramInfoLog(ProgramID, InfoLogLength, NULL,
+				&ProgramErrorMessage[0]);
+		printf("%s\n", &ProgramErrorMessage[0]);
+	}
+
+	glDetachShader(ProgramID, VertexShaderID);
+	glDetachShader(ProgramID, FragmentShaderID);
+
+	glDeleteShader(VertexShaderID);
+	glDeleteShader(FragmentShaderID);
+
+	return ProgramID;
+}

src/Shader.h

@@ -0,0 +1,5 @@
+#pragma once
+
+#include <string>
+
+unsigned int loadProgram(const std::string &name);

src/SkyBox.cpp

@@ -0,0 +1,78 @@
+#include "SkyBox.h"
+#include "Shader.h"
+
+#include <glad/glad.h>
+#include <stb_image.h>
+
+using namespace std;
+
+SkyBox::SkyBox() {
+	glGenTextures(1, &textureId);
+}
+
+SkyBox::~SkyBox() {
+	glDeleteTextures(1, &textureId);
+}
+
+bool SkyBox::Load(const std::string basename) {
+	glBindTexture(GL_TEXTURE_CUBE_MAP, textureId);
+
+	Load(GL_TEXTURE_CUBE_MAP_POSITIVE_X, basename + "_right1.png");
+	Load(GL_TEXTURE_CUBE_MAP_NEGATIVE_X, basename + "_left2.png");
+	Load(GL_TEXTURE_CUBE_MAP_POSITIVE_Y, basename + "_top3.png");
+	Load(GL_TEXTURE_CUBE_MAP_NEGATIVE_Y, basename + "_bottom4.png");
+	Load(GL_TEXTURE_CUBE_MAP_POSITIVE_Z, basename + "_front5.png");
+	Load(GL_TEXTURE_CUBE_MAP_NEGATIVE_Z, basename + "_back6.png");
+
+	programId = loadProgram("skybox");
+
+	return true;
+}
+
+bool SkyBox::Load(GLuint target, const std::string filename) {
+	int x, y, comp;
+	unsigned char *data = stbi_load(filename.c_str(), &x, &y, &comp, 4);
+
+	glTexImage2D(target, 0, GL_RGBA, x, y, 0, GL_RGBA, GL_UNSIGNED_BYTE, data);
+	glTexParameteri(GL_TEXTURE_CUBE_MAP, GL_TEXTURE_MAG_FILTER, GL_LINEAR);
+	glTexParameteri(GL_TEXTURE_CUBE_MAP, GL_TEXTURE_MIN_FILTER, GL_LINEAR);
+	glTexParameteri(GL_TEXTURE_CUBE_MAP, GL_TEXTURE_WRAP_S,
+	GL_CLAMP_TO_EDGE);
+	glTexParameteri(GL_TEXTURE_CUBE_MAP, GL_TEXTURE_WRAP_T,
+	GL_CLAMP_TO_EDGE);
+	glTexParameteri(GL_TEXTURE_CUBE_MAP, GL_TEXTURE_WRAP_R,
+	GL_CLAMP_TO_EDGE);
+
+	stbi_image_free(data);
+	return true;
+}
+
+void SkyBox::Render() {
+	GLint OldCullFaceMode;
+	glGetIntegerv(GL_CULL_FACE_MODE, &OldCullFaceMode);
+	GLint OldDepthFuncMode;
+	glGetIntegerv(GL_DEPTH_FUNC, &OldDepthFuncMode);
+
+	glCullFace(GL_FRONT);
+	glDepthFunc(GL_LEQUAL);
+/*
+	Pipeline p;
+	p.Scale(20.0f, 20.0f, 20.0f);
+	p.Rotate(0.0f, 0.0f, 0.0f);
+	p.WorldPos(m_pCamera->GetPos().x, m_pCamera->GetPos().y,
+			m_pCamera->GetPos().z);
+	p.SetCamera(m_pCamera->GetPos(), m_pCamera->GetTarget(),
+			m_pCamera->GetUp());
+	p.SetPerspectiveProj(m_persProjInfo);
+	m_pSkyboxTechnique->SetWVP(p.GetWVPTrans());
+	m_pCubemapTex->Bind(GL_TEXTURE0);
+	m_pMesh->Render();
+*/
+	glCullFace(OldCullFaceMode);
+	glDepthFunc(OldDepthFuncMode);
+}
+
+void SkyBox::Bind(GLenum unit) {
+	glActiveTexture(unit);
+	glBindTexture(GL_TEXTURE_CUBE_MAP, textureId);
+}

src/SkyBox.h

@@ -0,0 +1,24 @@
+#pragma once
+
+#include <glad/glad.h>
+
+#include <string>
+
+class SkyBox {
+public:
+
+	SkyBox();
+
+	~SkyBox();
+
+	bool Load(const std::string basename);
+	bool Load(GLuint target, const std::string filename);
+
+	void Bind(GLenum TextureUnit);
+
+	void Render();
+private:
+
+	std::string fileNames[6];
+	GLuint textureId, programId;
+};

src/TextureMapper.cpp

@@ -9,8 +9,8 @@
 TextureMapper::TextureMapper(Density &density, size_t textureSize) :
 		density(density), textureSize(textureSize), albedo(
 				textureSize * textureSize), normal(textureSize * textureSize), roughness(
-				textureSize * textureSize), darkestColor(0.3, 0.25, 0.2), brightestColor(
+				textureSize * textureSize), darkestColor(0.3, 0.25, 0.2, 1.0), brightestColor(
-				0.9, 0.85, 0.8) {
+				0.9, 0.85, 0.8, 1.0) {
 
 }
 void TextureMapper::setTextureSize(size_t size) {
@@ -35,9 +35,19 @@ void TextureMapper::map(const vec3v_t &inVertices, const vec3v_t &inNormals,
 	texcoords.clear();
 	texcoords.reserve(inIndices.size() * 3);
 
+	// 2 px margin
+	size_t marginPixels = 2;
+	float margin = marginPixels * texf;
+
+	std::fill(albedo.begin(), albedo.end(), 255.f * brightestColor);
+	std::fill(normal.begin(), normal.end(), ucvec4_t(255, 255, 255, 255));
+	std::fill(roughness.begin(), roughness.end(), 255);
+
 	int rects = ceil(sqrt(inIndices.size())), rx = 0, ry = 0;
-	float rectSize = floor(float(textureSize) / rects) / textureSize;
+	float rectSizePixel = floor(((float)textureSize - (rects + 1) * marginPixels) / rects);
-	for (size_t i = 0; i != inIndices.size(); i++) {
+	float rectSize = rectSizePixel / textureSize;
+	printf("Rects: %d, Size: %f", rects, rectSize);
+	for (size_t i = 0; i < inIndices.size(); i++) {
 		glm::vec3 p[3], n[3];
 		glm::uvec3 idx = inIndices[i];
 		indices.push_back(
@@ -62,17 +72,17 @@ void TextureMapper::map(const vec3v_t &inVertices, const vec3v_t &inNormals,
 		t[2] -= lower;
 		glm::vec3 extent = upper - lower;
 		float s = std::max(std::max(extent.x, extent.y), extent.z);
-		t[0] *= 0.8 * rectSize / s;
+		t[0] *= 0.9 * rectSize / s;
-		t[1] *= 0.8 * rectSize / s;
+		t[1] *= rectSize / s;
-		t[2] *= 0.8 * rectSize / s;
+		t[2] *= rectSize / s;
-		glm::vec3 off(rx * rectSize, 0, ry * rectSize);
+		glm::vec3 off(margin + rx * (rectSize + margin), 0, margin + ry * (rectSize + margin));
 		t[0] += off;
 		t[1] += off;
 		t[2] += off;
 		texcoords.push_back(glm::vec2(t[0].x, t[0].z));
 		texcoords.push_back(glm::vec2(t[1].x, t[1].z));
 		texcoords.push_back(glm::vec2(t[2].x, t[2].z));
-
+#if 0
 		//if (rx == 0 && ry == 0) {
 		t[0].y = 0;
 		t[1].y = 0;
@@ -111,16 +121,22 @@ void TextureMapper::map(const vec3v_t &inVertices, const vec3v_t &inNormals,
 		glm::mat3 faceBase = glm::mat3(db, glm::cross(db, dc), dc);
 		glm::mat3 ifaceBase = glm::inverse(faceBase);
 
-		glm::vec3 tmin = max(
+		glm::vec3 tmin = min(min(t[0], t[1]), t[2]);
-				floor(
+		tmin = tmin * glm::vec3((float) textureSize);
-						min(min(t[0], t[1]), t[2])
+		tmin = floor(tmin) - glm::vec3(2.0f);
-								* glm::vec3((float) textureSize))
+		//tmin = tmin - glm::vec3(1.0f);
-						- glm::vec3(1.0f), glm::vec3(0.1));
+		tmin = max(tmin, glm::vec3(0.1));
-		glm::vec3 tmax = min(
+
-				ceil(
+//		glm::vec3 tmax = min(
-						max(max(t[0], t[1]), t[2])
+//				ceil(
-								* glm::vec3((float) textureSize))
+//						max(max(t[0], t[1]), t[2])
-						+ glm::vec3(1.0f), glm::vec3(textureSize-1));
+//								* glm::vec3((float) textureSize))
+//						+ glm::vec3(1.0f), glm::vec3(textureSize - 1));
+
+		glm::vec3 tmax = max(max(t[0], t[1]), t[2]);
+		tmax = tmax * glm::vec3((float) textureSize);
+		tmax = ceil(tmax) + glm::vec3(2.0f);
+		tmax = min(tmax, glm::vec3(textureSize));
 
 		// TODO: borders!
 		for (int ix = tmin.x; ix < tmax.x; ix++) {
@@ -166,9 +182,9 @@ void TextureMapper::map(const vec3v_t &inVertices, const vec3v_t &inNormals,
 //				diff[ix + iy * ntex][2] = 0; //(0.5 + sp.z) * 255;
 
 //				float rd = 1.f; //0.7 + 0.3 * length(r) * rects;
-//				albedo[ix + iy * textureSize][0] = rd * (0.5 + sp.x) * 255;
+//				albedo[ix + (textureSize - iy) * textureSize][0] = rd * (sp.x) * 255;
-//				albedo[ix + iy * textureSize][1] = rd * (0.5 + sp.y) * 255;
+//				albedo[ix + (textureSize - iy) * textureSize][1] = rd * (sp.y) * 255;
-//				albedo[ix + iy * textureSize][2] = rd * (0.5 + sp.z) * 255;
+//				albedo[ix + (textureSize - iy) * textureSize][2] = rd * (sp.z) * 255;
 
 //					albedo[ix + iy * textureSize][0] = length(res) * rects * 255;
 //					albedo[ix + iy * textureSize][1] = length(res) * rects * 255;
@@ -190,7 +206,7 @@ void TextureMapper::map(const vec3v_t &inVertices, const vec3v_t &inNormals,
 			rx = 0;
 			ry++;
 		}
-
+#endif
 	}
 //
 //	for (int ix = 0; ix < ntex; ix++) {

src/TextureMapper.h

@@ -1,19 +1,12 @@
 #pragma once
 
 #include "Density.h"
-
+#include "types.h"
-#include <vector>
-#include <glm/vec3.hpp>
 
 class TextureMapper {
 	size_t textureSize;
 
 public:
-	typedef std::vector< glm::tvec3<uint8_t> > texture3_t;
-	typedef std::vector<uint8_t> texture1_t;
-	typedef std::vector<glm::vec3> vec3v_t;
-	typedef std::vector<glm::vec2> vec2v_t;
-	typedef std::vector<glm::uvec3> uvec3v_t;
 
 	Density &density;
 
@@ -27,7 +20,7 @@ public:
 	vec2v_t texcoords;
 	uvec3v_t indices;
 
-	glm::vec3 darkestColor, brightestColor;
+	glm::vec4 darkestColor, brightestColor;
 
 	TextureMapper(Density &density, size_t textureSize);
 

src/main.cpp

@@ -1,7 +1,7 @@
 #include "Application.h"
 
 int main(void) {
-
+	srand(time(0));
 	Application::instance().run();
 
 }

src/types.h

@@ -0,0 +1,15 @@
+#pragma once
+
+#include "AlignedAllocator.h"
+#include <glm/vec4.hpp>
+#include <glm/vec3.hpp>
+#include <vector>
+
+typedef glm::tvec4<uint8_t> ucvec4_t;
+typedef std::vector<ucvec4_t, AlignedAllocator<ucvec4_t> > texture3_t;
+typedef std::vector<uint8_t, AlignedAllocator<uint8_t>> texture1_t;
+typedef std::vector<glm::vec3, AlignedAllocator<glm::vec3> > vec3v_t;
+typedef std::vector<glm::vec2, AlignedAllocator<glm::vec2> > vec2v_t;
+typedef std::vector<glm::uvec3, AlignedAllocator<glm::uvec3> > uvec3v_t;
+typedef std::vector<glm::uvec4, AlignedAllocator<glm::uvec4> > uvec4v_t;
+typedef std::vector<uint32_t> uintv_t;

vendor/MarchingCube.h

@@ -1,428 +0,0 @@
-/*
- * MarchingCube.h
- *
- *  Created on: 19.10.2017
- *      Author: gmueller
- */
-
-#ifndef MARCHINGCUBE_H_
-#define MARCHINGCUBE_H_
-
-#include <glm/vec3.hpp>
-#include <iostream>
-
-using glm::vec3;
-
-typedef glm::vec3 XYZ;
-
-struct TRIANGLE {
-	XYZ p[3];
-};
-
-struct GRIDCELL {
-	XYZ p[8];
-	double val[8];
-} ;
-
-/*
- Linearly interpolate the position where an isosurface cuts
- an edge between two vertices, each with their own scalar value
- */
-XYZ VertexInterp(double isolevel, XYZ p1, XYZ p2, double valp1, double valp2) {
-	double mu;
-	XYZ p;
-
-	if (fabs(isolevel - valp1) < 0.00001)
-		return (p1);
-	if (fabs(isolevel - valp2) < 0.00001)
-		return (p2);
-	if (fabs(valp1 - valp2) < 0.00001)
-		return (p1);
-
-	mu = (isolevel - valp1) / (valp2 - valp1);
-	p.x = p1.x + mu * (p2.x - p1.x);
-	p.y = p1.y + mu * (p2.y - p1.y);
-	p.z = p1.z + mu * (p2.z - p1.z);
-
-	return (p);
-}
-
-/*
- Given a grid cell and an isolevel, calculate the triangular
- facets required to represent the isosurface through the cell.
- Return the number of triangular facets, the array "triangles"
- will be loaded up with the vertices at most 5 triangular facets.
- 0 will be returned if the grid cell is either totally above
- of totally below the isolevel.
- */
-int Polygonise(GRIDCELL &grid, double isolevel, TRIANGLE *triangles) {
-	int i, ntriang;
-	int cubeindex;
-	XYZ vertlist[12];
-
-	int edgeTable[256] = { 0x0, 0x109, 0x203, 0x30a, 0x406, 0x50f, 0x605, 0x70c,
-			0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00, 0x190, 0x99,
-			0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, 0x99c, 0x895, 0xb9f,
-			0xa96, 0xd9a, 0xc93, 0xf99, 0xe90, 0x230, 0x339, 0x33, 0x13a, 0x636,
-			0x73f, 0x435, 0x53c, 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33,
-			0xc39, 0xd30, 0x3a0, 0x2a9, 0x1a3, 0xaa, 0x7a6, 0x6af, 0x5a5, 0x4ac,
-			0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0, 0x460,
-			0x569, 0x663, 0x76a, 0x66, 0x16f, 0x265, 0x36c, 0xc6c, 0xd65, 0xe6f,
-			0xf66, 0x86a, 0x963, 0xa69, 0xb60, 0x5f0, 0x4f9, 0x7f3, 0x6fa,
-			0x1f6, 0xff, 0x3f5, 0x2fc, 0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3,
-			0xbf9, 0xaf0, 0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x55, 0x15c,
-			0xe5c, 0xf55, 0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950, 0x7c0,
-			0x6c9, 0x5c3, 0x4ca, 0x3c6, 0x2cf, 0x1c5, 0xcc, 0xfcc, 0xec5, 0xdcf,
-			0xcc6, 0xbca, 0xac3, 0x9c9, 0x8c0, 0x8c0, 0x9c9, 0xac3, 0xbca,
-			0xcc6, 0xdcf, 0xec5, 0xfcc, 0xcc, 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3,
-			0x6c9, 0x7c0, 0x950, 0x859, 0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55,
-			0xe5c, 0x15c, 0x55, 0x35f, 0x256, 0x55a, 0x453, 0x759, 0x650, 0xaf0,
-			0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff, 0xcf5, 0xdfc, 0x2fc, 0x3f5, 0xff,
-			0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0, 0xb60, 0xa69, 0x963, 0x86a,
-			0xf66, 0xe6f, 0xd65, 0xc6c, 0x36c, 0x265, 0x16f, 0x66, 0x76a, 0x663,
-			0x569, 0x460, 0xca0, 0xda9, 0xea3, 0xfaa, 0x8a6, 0x9af, 0xaa5,
-			0xbac, 0x4ac, 0x5a5, 0x6af, 0x7a6, 0xaa, 0x1a3, 0x2a9, 0x3a0, 0xd30,
-			0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c, 0x53c, 0x435,
-			0x73f, 0x636, 0x13a, 0x33, 0x339, 0x230, 0xe90, 0xf99, 0xc93, 0xd9a,
-			0xa96, 0xb9f, 0x895, 0x99c, 0x69c, 0x795, 0x49f, 0x596, 0x29a,
-			0x393, 0x99, 0x190, 0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f, 0x905,
-			0x80c, 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x0 };
-	int triTable[256][16] = {
-			{ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 1,					2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 9,					2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{					2, 8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1 },
-			{ 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 1,					9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{					1, 11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1 },
-			{ 3, 10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{					0, 10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1 },
-			{ 3, 9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1 },
-			{ 9,					8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-
-			{
-					4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 1, 9, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4,
-					1, 9, 4, 7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1 }, { 1,
-					2, 10, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					3, 4, 7, 3, 0, 4, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1 }, {
-					9, 2, 10, 9, 0, 2, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 }, {
-					2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, { 8,
-					4, 7, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					11, 4, 7, 11, 2, 4, 2, 0, 4, -1, -1, -1, -1, -1, -1, -1 }, {
-					9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 }, {
-					4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, -1, -1, -1, -1 }, {
-					3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1, -1, -1, -1, -1 },
-			{ 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1, -1, -1, -1 }, { 4, 7,
-					8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1, -1, -1 }, { 4, 7,
-					11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1, -1, -1 }, { 9,
-					5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0,
-					5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1, -1 }, {
-					1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, { 5, 2,
-					10, 5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1 }, { 2, 10,
-					5, 3, 2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1 }, { 9, 5, 4,
-					2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 11,
-					2, 0, 8, 11, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, { 0, 5,
-					4, 0, 1, 5, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 }, { 2, 1,
-					5, 2, 5, 8, 2, 8, 11, 4, 8, 5, -1, -1, -1, -1 }, { 10, 3,
-					11, 10, 1, 3, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1 }, { 4, 9,
-					5, 0, 8, 1, 8, 10, 1, 8, 11, 10, -1, -1, -1, -1 }, { 5, 4,
-					0, 5, 0, 11, 5, 11, 10, 11, 0, 3, -1, -1, -1, -1 }, { 5, 4,
-					8, 5, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1 }, { 9,
-					7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1, -1, -1, -1 }, {
-					0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, {
-					1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1, -1 }, { 10, 1,
-					2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1 }, { 8, 0, 2,
-					8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1 }, { 2, 10, 5, 2,
-					5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, { 7, 9, 5, 7,
-					8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1 }, { 9, 5, 7, 9,
-					7, 2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, { 2, 3, 11, 0, 1,
-					8, 1, 7, 8, 1, 5, 7, -1, -1, -1, -1 }, { 11, 2, 1, 11, 1, 7,
-					7, 1, 5, -1, -1, -1, -1, -1, -1, -1 }, { 9, 5, 8, 8, 5, 7,
-					10, 1, 3, 10, 3, 11, -1, -1, -1, -1 }, { 5, 7, 0, 5, 0, 9,
-					7, 11, 0, 1, 0, 10, 11, 10, 0, -1 }, { 11, 10, 0, 11, 0, 3,
-					10, 5, 0, 8, 0, 7, 5, 7, 0, -1 }, { 11, 10, 5, 7, 11, 5, -1,
-					-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 10, 6, 5, -1, -1,
-					-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 8, 3, 5,
-					10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 9, 0, 1,
-					5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 8,
-					3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, { 1, 6,
-					5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1,
-					6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1, -1 }, { 9,
-					6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1 }, { 5,
-					9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1 }, { 2, 3,
-					11, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					11, 0, 8, 11, 2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 1, 9, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, { 5,
-					10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, -1, -1, -1, -1 }, { 6,
-					3, 11, 6, 5, 3, 5, 1, 3, -1, -1, -1, -1, -1, -1, -1 }, { 0,
-					8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, -1, -1, -1, -1 }, { 3,
-					11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, -1, -1, -1, -1 }, { 6, 5,
-					9, 6, 9, 11, 11, 9, 8, -1, -1, -1, -1, -1, -1, -1 }, { 5,
-					10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1, -1, -1, -1 }, {
-					1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 }, {
-					10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, { 6,
-					1, 2, 6, 5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1 }, { 1,
-					2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, -1, -1, -1, -1 }, { 8, 4,
-					7, 9, 0, 5, 0, 6, 5, 0, 2, 6, -1, -1, -1, -1 }, { 7, 3, 9,
-					7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, -1 }, { 3, 11, 2, 7, 8,
-					4, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 }, { 5, 10, 6, 4, 7,
-					2, 4, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, { 0, 1, 9, 4, 7, 8,
-					2, 3, 11, 5, 10, 6, -1, -1, -1, -1 }, { 9, 2, 1, 9, 11, 2,
-					9, 4, 11, 7, 11, 4, 5, 10, 6, -1 }, { 8, 4, 7, 3, 11, 5, 3,
-					5, 1, 5, 11, 6, -1, -1, -1, -1 }, { 5, 1, 11, 5, 11, 6, 1,
-					0, 11, 7, 11, 4, 0, 4, 11, -1 }, { 0, 5, 9, 0, 6, 5, 0, 3,
-					6, 11, 6, 3, 8, 4, 7, -1 }, { 6, 5, 9, 6, 9, 11, 4, 7, 9, 7,
-					11, 9, -1, -1, -1, -1 }, { 10, 4, 9, 6, 4, 10, -1, -1, -1,
-					-1, -1, -1, -1, -1, -1, -1 }, { 4, 10, 6, 4, 9, 10, 0, 8, 3,
-					-1, -1, -1, -1, -1, -1, -1 }, { 10, 0, 1, 10, 6, 0, 6, 4, 0,
-					-1, -1, -1, -1, -1, -1, -1 }, { 8, 3, 1, 8, 1, 6, 8, 6, 4,
-					6, 1, 10, -1, -1, -1, -1 }, { 1, 4, 9, 1, 2, 4, 2, 6, 4, -1,
-					-1, -1, -1, -1, -1, -1 }, { 3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6,
-					4, -1, -1, -1, -1 }, { 0, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1 }, { 8, 3, 2, 8, 2, 4, 4, 2, 6, -1, -1,
-					-1, -1, -1, -1, -1 }, { 10, 4, 9, 10, 6, 4, 11, 2, 3, -1,
-					-1, -1, -1, -1, -1, -1 }, { 0, 8, 2, 2, 8, 11, 4, 9, 10, 4,
-					10, 6, -1, -1, -1, -1 }, { 3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1,
-					10, -1, -1, -1, -1 }, { 6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1,
-					11, 8, 11, 1, -1 }, { 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3,
-					-1, -1, -1, -1 }, { 8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6,
-					4, 1, -1 }, { 3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1,
-					-1, -1, -1 }, { 6, 4, 8, 11, 6, 8, -1, -1, -1, -1, -1, -1,
-					-1, -1, -1, -1 }, { 7, 10, 6, 7, 8, 10, 8, 9, 10, -1, -1,
-					-1, -1, -1, -1, -1 }, { 0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7,
-					10, -1, -1, -1, -1 }, { 10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8,
-					0, -1, -1, -1, -1 }, { 10, 6, 7, 10, 7, 1, 1, 7, 3, -1, -1,
-					-1, -1, -1, -1, -1 }, { 1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7,
-					-1, -1, -1, -1 }, { 2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7,
-					3, 9, -1 }, { 7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1,
-					-1, -1 }, { 7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1,
-					-1, -1, -1 }, { 2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1,
-					-1, -1, -1 }, { 2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10,
-					7, -1 }, { 1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11,
-					-1 }, { 11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1,
-					-1 }, { 8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1 },
-			{ 0, 9, 1, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 7,
-					8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, -1, -1, -1, -1 }, { 7,
-					11, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					3, 0, 8, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 1, 9, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 8,
-					1, 9, 8, 3, 1, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 }, { 10,
-					1, 2, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					1, 2, 10, 3, 0, 8, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 }, {
-					2, 9, 0, 2, 10, 9, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 }, {
-					6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, -1, -1, -1, -1 }, {
-					7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1, -1, -1, -1 }, { 2, 7,
-					6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1 }, { 1, 6,
-					2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1 }, { 10, 7, 6,
-					10, 1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, { 10, 7, 6,
-					1, 7, 10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1 }, { 0, 3, 7, 0,
-					7, 10, 0, 10, 9, 6, 10, 7, -1, -1, -1, -1 }, { 7, 6, 10, 7,
-					10, 8, 8, 10, 9, -1, -1, -1, -1, -1, -1, -1 }, { 6, 8, 4,
-					11, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 6,
-					11, 3, 0, 6, 0, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, { 8, 6,
-					11, 8, 4, 6, 9, 0, 1, -1, -1, -1, -1, -1, -1, -1 }, { 9, 4,
-					6, 9, 6, 3, 9, 3, 1, 11, 3, 6, -1, -1, -1, -1 }, { 6, 8, 4,
-					6, 11, 8, 2, 10, 1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2,
-					10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1, -1, -1 }, { 4, 11,
-					8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1, -1 }, { 10, 9,
-					3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1 }, { 8, 2, 3, 8,
-					4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, { 0, 4, 2, 4,
-					6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 9, 0,
-					2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1 }, { 1, 9, 4, 1,
-					4, 2, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, { 8, 1, 3, 8,
-					6, 1, 8, 4, 6, 6, 10, 1, -1, -1, -1, -1 }, { 10, 1, 0, 10,
-					0, 6, 6, 0, 4, -1, -1, -1, -1, -1, -1, -1 }, { 4, 6, 3, 4,
-					3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, -1 }, { 10, 9, 4, 6, 10,
-					4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4, 9, 5, 7,
-					6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 8, 3,
-					4, 9, 5, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 }, { 5, 0, 1,
-					5, 4, 0, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, { 11, 7, 6,
-					8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1, -1 }, { 9, 5, 4, 10,
-					1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, { 6, 11, 7, 1,
-					2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1 }, { 7, 6, 11, 5, 4,
-					10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1 }, { 3, 4, 8, 3, 5, 4,
-					3, 2, 5, 10, 5, 2, 11, 7, 6, -1 }, { 7, 2, 3, 7, 6, 2, 5, 4,
-					9, -1, -1, -1, -1, -1, -1, -1 }, { 9, 5, 4, 0, 8, 6, 0, 6,
-					2, 6, 8, 7, -1, -1, -1, -1 }, { 3, 6, 2, 3, 7, 6, 1, 5, 0,
-					5, 4, 0, -1, -1, -1, -1 }, { 6, 2, 8, 6, 8, 7, 2, 1, 8, 4,
-					8, 5, 1, 5, 8, -1 }, { 9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7,
-					-1, -1, -1, -1 }, { 1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9,
-					5, 4, -1 }, { 4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7,
-					10, -1 }, { 7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, -1, -1,
-					-1, -1 }, { 6, 9, 5, 6, 11, 9, 11, 8, 9, -1, -1, -1, -1, -1,
-					-1, -1 }, { 3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, -1, -1, -1,
-					-1 }, { 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, -1, -1, -1,
-					-1 }, { 6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1, -1, -1, -1,
-					-1 }, { 1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1, -1, -1,
-					-1 },
-			{ 0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, -1 }, { 11, 8, 5,
-					11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1 }, { 6, 11, 3, 6,
-					3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1 }, { 5, 8, 9, 5, 2,
-					8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1 }, { 9, 5, 6, 9, 6, 0,
-					0, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, { 1, 5, 8, 1, 8, 0,
-					5, 6, 8, 3, 8, 2, 6, 2, 8, -1 }, { 1, 5, 6, 2, 1, 6, -1, -1,
-					-1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 3, 6, 1, 6, 10, 3, 8,
-					6, 5, 6, 9, 8, 9, 6, -1 }, { 10, 1, 0, 10, 0, 6, 9, 5, 0, 5,
-					6, 0, -1, -1, -1, -1 }, { 0, 3, 8, 5, 6, 10, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1, -1 }, { 10, 5, 6, -1, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1, -1, -1, -1 }, { 11, 5, 10, 7, 5, 11, -1,
-					-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 11, 5, 10, 11, 7, 5,
-					8, 3, 0, -1, -1, -1, -1, -1, -1, -1 }, { 5, 11, 7, 5, 10,
-					11, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1 }, { 10, 7, 5, 10,
-					11, 7, 9, 8, 1, 8, 3, 1, -1, -1, -1, -1 }, { 11, 1, 2, 11,
-					7, 1, 7, 5, 1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 8, 3, 1,
-					2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1 }, { 9, 7, 5, 9, 2,
-					7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1 }, { 7, 5, 2, 7, 2, 11,
-					5, 9, 2, 3, 2, 8, 9, 8, 2, -1 }, { 2, 5, 10, 2, 3, 5, 3, 7,
-					5, -1, -1, -1, -1, -1, -1, -1 }, { 8, 2, 0, 8, 5, 2, 8, 7,
-					5, 10, 2, 5, -1, -1, -1, -1 }, { 9, 0, 1, 5, 10, 3, 5, 3, 7,
-					3, 10, 2, -1, -1, -1, -1 }, { 9, 8, 2, 9, 2, 1, 8, 7, 2, 10,
-					2, 5, 7, 5, 2, -1 }, { 1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1 }, { 0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1,
-					-1, -1, -1, -1, -1 }, { 9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1,
-					-1, -1, -1, -1, -1 }, { 9, 8, 7, 5, 9, 7, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1, -1 }, { 5, 8, 4, 5, 10, 8, 10, 11, 8,
-					-1, -1, -1, -1, -1, -1, -1 }, { 5, 0, 4, 5, 11, 0, 5, 10,
-					11, 11, 3, 0, -1, -1, -1, -1 }, { 0, 1, 9, 8, 4, 10, 8, 10,
-					11, 10, 4, 5, -1, -1, -1, -1 }, { 10, 11, 4, 10, 4, 5, 11,
-					3, 4, 9, 4, 1, 3, 1, 4, -1 }, { 2, 5, 1, 2, 8, 5, 2, 11, 8,
-					4, 5, 8, -1, -1, -1, -1 }, { 0, 4, 11, 0, 11, 3, 4, 5, 11,
-					2, 11, 1, 5, 1, 11, -1 }, { 0, 2, 5, 0, 5, 9, 2, 11, 5, 4,
-					5, 8, 11, 8, 5, -1 }, { 9, 4, 5, 2, 11, 3, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1, -1 }, { 2, 5, 10, 3, 5, 2, 3, 4, 5, 3,
-					8, 4, -1, -1, -1, -1 }, { 5, 10, 2, 5, 2, 4, 4, 2, 0, -1,
-					-1, -1, -1, -1, -1, -1 }, { 3, 10, 2, 3, 5, 10, 3, 8, 5, 4,
-					5, 8, 0, 1, 9, -1 }, { 5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2,
-					-1, -1, -1, -1 }, { 8, 4, 5, 8, 5, 3, 3, 5, 1, -1, -1, -1,
-					-1, -1, -1, -1 }, { 0, 4, 5, 1, 0, 5, -1, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1 }, { 8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5,
-					-1, -1, -1, -1 }, { 9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1,
-					-1, -1, -1, -1, -1 }, { 4, 11, 7, 4, 9, 11, 9, 10, 11, -1,
-					-1, -1, -1, -1, -1, -1 }, { 0, 8, 3, 4, 9, 7, 9, 11, 7, 9,
-					10, 11, -1, -1, -1, -1 }, { 1, 10, 11, 1, 11, 4, 1, 4, 0, 7,
-					4, 11, -1, -1, -1, -1 }, { 3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4,
-					11, 10, 11, 4, -1 }, { 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1,
-					2, -1, -1, -1, -1 }, { 9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11,
-					1, 0, 8, 3, -1 }, { 11, 7, 4, 11, 4, 2, 2, 4, 0, -1, -1, -1,
-					-1, -1, -1, -1 }, { 11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4,
-					-1, -1, -1, -1 }, { 2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, -1,
-					-1, -1, -1 }, { 9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0,
-					7, -1 }, { 3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10,
-					-1 }, { 1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1, -1, -1,
-					-1, -1 }, { 4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1, -1,
-					-1, -1 }, { 4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1,
-					-1 }, { 4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1,
-					-1, -1 }, { 4, 8, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-					-1, -1, -1 }, { 9, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1,
-					-1, -1, -1, -1 }, { 3, 0, 9, 3, 9, 11, 11, 9, 10, -1, -1,
-					-1, -1, -1, -1, -1 }, { 0, 1, 10, 0, 10, 8, 8, 10, 11, -1,
-					-1, -1, -1, -1, -1, -1 }, { 3, 1, 10, 11, 3, 10, -1, -1, -1,
-					-1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 11, 1, 11, 9, 9, 11,
-					8, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0, 9, 3, 9, 11, 1, 2,
-					9, 2, 11, 9, -1, -1, -1, -1 }, { 0, 2, 11, 8, 0, 11, -1, -1,
-					-1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 2, 11, -1, -1, -1,
-					-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2, 3, 8, 2, 8,
-					10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1 }, { 9, 10, 2, 0,
-					9, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2, 3, 8,
-					2, 8, 10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1 }, { 1, 10, 2,
-					-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1,
-					3, 8, 9, 1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 9, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
-			{ 0, 3, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, {
-					-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-					-1 } };
-
-	/*
-	 Determine the index into the edge table which
-	 tells us which vertices are inside of the surface
-	 */
-	cubeindex = 0;
-	if (grid.val[0] < isolevel)
-		cubeindex |= 1;
-	if (grid.val[1] < isolevel)
-		cubeindex |= 2;
-	if (grid.val[2] < isolevel)
-		cubeindex |= 4;
-	if (grid.val[3] < isolevel)
-		cubeindex |= 8;
-	if (grid.val[4] < isolevel)
-		cubeindex |= 16;
-	if (grid.val[5] < isolevel)
-		cubeindex |= 32;
-	if (grid.val[6] < isolevel)
-		cubeindex |= 64;
-	if (grid.val[7] < isolevel)
-		cubeindex |= 128;
-
-	/* Cube is entirely in/out of the surface */
-	if (edgeTable[cubeindex] == 0)
-		return (0);
-
-	/* Find the vertices where the surface intersects the cube */
-	if (edgeTable[cubeindex] & 1)
-		vertlist[0] = VertexInterp(isolevel, grid.p[0], grid.p[1], grid.val[0],
-				grid.val[1]);
-	if (edgeTable[cubeindex] & 2)
-		vertlist[1] = VertexInterp(isolevel, grid.p[1], grid.p[2], grid.val[1],
-				grid.val[2]);
-	if (edgeTable[cubeindex] & 4)
-		vertlist[2] = VertexInterp(isolevel, grid.p[2], grid.p[3], grid.val[2],
-				grid.val[3]);
-	if (edgeTable[cubeindex] & 8)
-		vertlist[3] = VertexInterp(isolevel, grid.p[3], grid.p[0], grid.val[3],
-				grid.val[0]);
-	if (edgeTable[cubeindex] & 16)
-		vertlist[4] = VertexInterp(isolevel, grid.p[4], grid.p[5], grid.val[4],
-				grid.val[5]);
-	if (edgeTable[cubeindex] & 32)
-		vertlist[5] = VertexInterp(isolevel, grid.p[5], grid.p[6], grid.val[5],
-				grid.val[6]);
-	if (edgeTable[cubeindex] & 64)
-		vertlist[6] = VertexInterp(isolevel, grid.p[6], grid.p[7], grid.val[6],
-				grid.val[7]);
-	if (edgeTable[cubeindex] & 128)
-		vertlist[7] = VertexInterp(isolevel, grid.p[7], grid.p[4], grid.val[7],
-				grid.val[4]);
-	if (edgeTable[cubeindex] & 256)
-		vertlist[8] = VertexInterp(isolevel, grid.p[0], grid.p[4], grid.val[0],
-				grid.val[4]);
-	if (edgeTable[cubeindex] & 512)
-		vertlist[9] = VertexInterp(isolevel, grid.p[1], grid.p[5], grid.val[1],
-				grid.val[5]);
-	if (edgeTable[cubeindex] & 1024)
-		vertlist[10] = VertexInterp(isolevel, grid.p[2], grid.p[6], grid.val[2],
-				grid.val[6]);
-	if (edgeTable[cubeindex] & 2048)
-		vertlist[11] = VertexInterp(isolevel, grid.p[3], grid.p[7], grid.val[3],
-				grid.val[7]);
-
-	// std::cout << cubeindex << std::endl;
-
-	/* Create the triangle */
-	ntriang = 0;
-	for (i = 0; triTable[cubeindex][i] != -1; i += 3) {
-		triangles[ntriang].p[0] = vertlist[triTable[cubeindex][i]];
-		triangles[ntriang].p[1] = vertlist[triTable[cubeindex][i + 1]];
-		triangles[ntriang].p[2] = vertlist[triTable[cubeindex][i + 2]];
-		ntriang++;
-	}
-
-	return (ntriang);
-}
-
-#endif /* MARCHINGCUBE_H_ */

vendor/MemoryPool.h

@@ -0,0 +1,98 @@
+/*-
+ * Copyright (c) 2013 Cosku Acay, http://www.coskuacay.com
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the "Software"),
+ * to deal in the Software without restriction, including without limitation
+ * the rights to use, copy, modify, merge, publish, distribute, sublicense,
+ * and/or sell copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
+ * IN THE SOFTWARE.
+ */
+
+#ifndef MEMORY_POOL_H
+#define MEMORY_POOL_H
+
+#include <climits>
+#include <cstddef>
+
+template <typename T, size_t BlockSize = 4096>
+class MemoryPool
+{
+  public:
+    /* Member types */
+    typedef T               value_type;
+    typedef T*              pointer;
+    typedef T&              reference;
+    typedef const T*        const_pointer;
+    typedef const T&        const_reference;
+    typedef size_t          size_type;
+    typedef ptrdiff_t       difference_type;
+    typedef std::false_type propagate_on_container_copy_assignment;
+    typedef std::true_type  propagate_on_container_move_assignment;
+    typedef std::true_type  propagate_on_container_swap;
+
+    template <typename U> struct rebind {
+      typedef MemoryPool<U> other;
+    };
+
+    /* Member functions */
+    MemoryPool() noexcept;
+    MemoryPool(const MemoryPool& memoryPool) noexcept;
+    MemoryPool(MemoryPool&& memoryPool) noexcept;
+    template <class U> MemoryPool(const MemoryPool<U>& memoryPool) noexcept;
+
+    ~MemoryPool() noexcept;
+
+    MemoryPool& operator=(const MemoryPool& memoryPool) = delete;
+    MemoryPool& operator=(MemoryPool&& memoryPool) noexcept;
+
+    pointer address(reference x) const noexcept;
+    const_pointer address(const_reference x) const noexcept;
+
+    // Can only allocate one object at a time. n and hint are ignored
+    pointer allocate(size_type n = 1, const_pointer hint = 0);
+    void deallocate(pointer p, size_type n = 1);
+
+    size_type max_size() const noexcept;
+
+    template <class U, class... Args> void construct(U* p, Args&&... args);
+    template <class U> void destroy(U* p);
+
+    template <class... Args> pointer newElement(Args&&... args);
+    void deleteElement(pointer p);
+
+  private:
+    union Slot_ {
+      value_type element;
+      Slot_* next;
+    };
+
+    typedef char* data_pointer_;
+    typedef Slot_ slot_type_;
+    typedef Slot_* slot_pointer_;
+
+    slot_pointer_ currentBlock_;
+    slot_pointer_ currentSlot_;
+    slot_pointer_ lastSlot_;
+    slot_pointer_ freeSlots_;
+
+    size_type padPointer(data_pointer_ p, size_type align) const noexcept;
+    void allocateBlock();
+
+    static_assert(BlockSize >= 2 * sizeof(slot_type_), "BlockSize too small.");
+};
+
+#include "MemoryPool.tcc"
+
+#endif // MEMORY_POOL_H

vendor/MemoryPool.tcc

@@ -0,0 +1,235 @@
+/*-
+ * Copyright (c) 2013 Cosku Acay, http://www.coskuacay.com
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the "Software"),
+ * to deal in the Software without restriction, including without limitation
+ * the rights to use, copy, modify, merge, publish, distribute, sublicense,
+ * and/or sell copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
+ * IN THE SOFTWARE.
+ */
+
+#ifndef MEMORY_BLOCK_TCC
+#define MEMORY_BLOCK_TCC
+
+
+
+template <typename T, size_t BlockSize>
+inline typename MemoryPool<T, BlockSize>::size_type
+MemoryPool<T, BlockSize>::padPointer(data_pointer_ p, size_type align)
+const noexcept
+{
+  uintptr_t result = reinterpret_cast<uintptr_t>(p);
+  return ((align - result) % align);
+}
+
+
+
+template <typename T, size_t BlockSize>
+MemoryPool<T, BlockSize>::MemoryPool()
+noexcept
+{
+  currentBlock_ = nullptr;
+  currentSlot_ = nullptr;
+  lastSlot_ = nullptr;
+  freeSlots_ = nullptr;
+}
+
+
+
+template <typename T, size_t BlockSize>
+MemoryPool<T, BlockSize>::MemoryPool(const MemoryPool& memoryPool)
+noexcept :
+MemoryPool()
+{}
+
+
+
+template <typename T, size_t BlockSize>
+MemoryPool<T, BlockSize>::MemoryPool(MemoryPool&& memoryPool)
+noexcept
+{
+  currentBlock_ = memoryPool.currentBlock_;
+  memoryPool.currentBlock_ = nullptr;
+  currentSlot_ = memoryPool.currentSlot_;
+  lastSlot_ = memoryPool.lastSlot_;
+  freeSlots_ = memoryPool.freeSlots;
+}
+
+
+template <typename T, size_t BlockSize>
+template<class U>
+MemoryPool<T, BlockSize>::MemoryPool(const MemoryPool<U>& memoryPool)
+noexcept :
+MemoryPool()
+{}
+
+
+
+template <typename T, size_t BlockSize>
+MemoryPool<T, BlockSize>&
+MemoryPool<T, BlockSize>::operator=(MemoryPool&& memoryPool)
+noexcept
+{
+  if (this != &memoryPool)
+  {
+    std::swap(currentBlock_, memoryPool.currentBlock_);
+    currentSlot_ = memoryPool.currentSlot_;
+    lastSlot_ = memoryPool.lastSlot_;
+    freeSlots_ = memoryPool.freeSlots;
+  }
+  return *this;
+}
+
+
+
+template <typename T, size_t BlockSize>
+MemoryPool<T, BlockSize>::~MemoryPool()
+noexcept
+{
+  slot_pointer_ curr = currentBlock_;
+  while (curr != nullptr) {
+    slot_pointer_ prev = curr->next;
+    operator delete(reinterpret_cast<void*>(curr));
+    curr = prev;
+  }
+}
+
+
+
+template <typename T, size_t BlockSize>
+inline typename MemoryPool<T, BlockSize>::pointer
+MemoryPool<T, BlockSize>::address(reference x)
+const noexcept
+{
+  return &x;
+}
+
+
+
+template <typename T, size_t BlockSize>
+inline typename MemoryPool<T, BlockSize>::const_pointer
+MemoryPool<T, BlockSize>::address(const_reference x)
+const noexcept
+{
+  return &x;
+}
+
+
+
+template <typename T, size_t BlockSize>
+void
+MemoryPool<T, BlockSize>::allocateBlock()
+{
+  // Allocate space for the new block and store a pointer to the previous one
+  data_pointer_ newBlock = reinterpret_cast<data_pointer_>
+                           (operator new(BlockSize));
+  reinterpret_cast<slot_pointer_>(newBlock)->next = currentBlock_;
+  currentBlock_ = reinterpret_cast<slot_pointer_>(newBlock);
+  // Pad block body to staisfy the alignment requirements for elements
+  data_pointer_ body = newBlock + sizeof(slot_pointer_);
+  size_type bodyPadding = padPointer(body, alignof(slot_type_));
+  currentSlot_ = reinterpret_cast<slot_pointer_>(body + bodyPadding);
+  lastSlot_ = reinterpret_cast<slot_pointer_>
+              (newBlock + BlockSize - sizeof(slot_type_) + 1);
+}
+
+
+
+template <typename T, size_t BlockSize>
+inline typename MemoryPool<T, BlockSize>::pointer
+MemoryPool<T, BlockSize>::allocate(size_type n, const_pointer hint)
+{
+  if (freeSlots_ != nullptr) {
+    pointer result = reinterpret_cast<pointer>(freeSlots_);
+    freeSlots_ = freeSlots_->next;
+    return result;
+  }
+  else {
+    if (currentSlot_ >= lastSlot_)
+      allocateBlock();
+    return reinterpret_cast<pointer>(currentSlot_++);
+  }
+}
+
+
+
+template <typename T, size_t BlockSize>
+inline void
+MemoryPool<T, BlockSize>::deallocate(pointer p, size_type n)
+{
+  if (p != nullptr) {
+    reinterpret_cast<slot_pointer_>(p)->next = freeSlots_;
+    freeSlots_ = reinterpret_cast<slot_pointer_>(p);
+  }
+}
+
+
+
+template <typename T, size_t BlockSize>
+inline typename MemoryPool<T, BlockSize>::size_type
+MemoryPool<T, BlockSize>::max_size()
+const noexcept
+{
+  size_type maxBlocks = -1 / BlockSize;
+  return (BlockSize - sizeof(data_pointer_)) / sizeof(slot_type_) * maxBlocks;
+}
+
+
+
+template <typename T, size_t BlockSize>
+template <class U, class... Args>
+inline void
+MemoryPool<T, BlockSize>::construct(U* p, Args&&... args)
+{
+  new (p) U (std::forward<Args>(args)...);
+}
+
+
+
+template <typename T, size_t BlockSize>
+template <class U>
+inline void
+MemoryPool<T, BlockSize>::destroy(U* p)
+{
+  p->~U();
+}
+
+
+
+template <typename T, size_t BlockSize>
+template <class... Args>
+inline typename MemoryPool<T, BlockSize>::pointer
+MemoryPool<T, BlockSize>::newElement(Args&&... args)
+{
+  pointer result = allocate();
+  construct<value_type>(result, std::forward<Args>(args)...);
+  return result;
+}
+
+
+
+template <typename T, size_t BlockSize>
+inline void
+MemoryPool<T, BlockSize>::deleteElement(pointer p)
+{
+  if (p != nullptr) {
+    p->~value_type();
+    deallocate(p);
+  }
+}
+
+
+
+#endif // MEMORY_BLOCK_TCC