/*************************************************************************/ /* marching_cubes_tables.cpp */ /*************************************************************************/ /* This file is part of: */ /* PANDEMONIUM ENGINE */ /* https://github.com/Relintai/pandemonium_engine */ /*************************************************************************/ /* Copyright (c) 2022-present Péter Magyar. */ /* Copyright (c) 2014-2022 Godot Engine contributors (cf. AUTHORS.md). */ /* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */ /* */ /* 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. */ /*************************************************************************/ #include "marching_cubes_tables.h" //================================================================================ // // The MarchingCubes Algorithm look-up tables // // These tables have been modified, in order to implement uv mapping. // Also the transition data have been removed. // // Copyright 2009 by Eric Lengyel // // The following data originates from Eric Lengyel's MarchingCubes Algorithm. // http://transvoxel.org/ // // The data in this file may be freely used in implementations of the MarchingCubes // Algorithm. If you do use this data, or any transformation of it, in your own // projects, commercial or otherwise, please give credit by indicating in your // source code that the data is part of the author's implementation of the // MarchingCubes Algorithm and that it came from the web address given above. // (Simply copying and pasting the two lines of the previous paragraph would be // perfect.) If you distribute a commercial product with source code included, // then the credit in the source code is required. // // If you distribute any kind of product that uses this data, a credit visible to // the end-user would be appreciated, but it is not required. However, you may // not claim that the entire implementation of the MarchingCubes Algorithm is your // own if you use the data in this file or any transformation of it. // // The format of the data in this file is described in the dissertation "Voxel- // Based Terrain for Real-Time Virtual Simulations", available at the web page // given above. References to sections and figures below pertain to that paper. // // The contents of this file are protected by copyright and may not be publicly // reproduced without permission. // //================================================================================ namespace MarchingCubes { // The regularCellClass table maps an 8-bit regular Marching Cubes case index to // an equivalence class index. Even though there are 18 equivalence classes in our // modified Marching Cubes algorithm, a couple of them use the same exact triangulations, // just with different vertex locations. We combined those classes for this table so // that the class index ranges from 0 to 15. const unsigned char regularCellClass[256] = { // 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0x00, 0x01, 0x01, 0x03, 0x01, 0x03, 0x02, 0x04, 0x01, 0x02, 0x03, 0x04, 0x03, 0x04, 0x04, 0x03, // 0 0x01, 0x03, 0x02, 0x04, 0x02, 0x04, 0x06, 0x0C, 0x02, 0x05, 0x05, 0x0B, 0x05, 0x0A, 0x07, 0x04, // 16 0x01, 0x02, 0x03, 0x04, 0x02, 0x05, 0x05, 0x0A, 0x02, 0x06, 0x04, 0x0C, 0x05, 0x07, 0x0B, 0x04, // 32 0x03, 0x04, 0x04, 0x03, 0x05, 0x0B, 0x07, 0x04, 0x05, 0x07, 0x0A, 0x04, 0x08, 0x0E, 0x0E, 0x03, // 48 0x01, 0x02, 0x02, 0x05, 0x03, 0x04, 0x05, 0x0B, 0x02, 0x06, 0x05, 0x07, 0x04, 0x0C, 0x0A, 0x04, // 64 0x03, 0x04, 0x05, 0x0A, 0x04, 0x03, 0x07, 0x04, 0x05, 0x07, 0x08, 0x0E, 0x0B, 0x04, 0x0E, 0x03, // 80 0x02, 0x06, 0x05, 0x07, 0x05, 0x07, 0x08, 0x0E, 0x06, 0x09, 0x07, 0x0F, 0x07, 0x0F, 0x0E, 0x0D, // 96 0x04, 0x0C, 0x0B, 0x04, 0x0A, 0x04, 0x0E, 0x03, 0x07, 0x0F, 0x0E, 0x0D, 0x0E, 0x0D, 0x02, 0x01, // 112 0x01, 0x02, 0x02, 0x05, 0x02, 0x05, 0x06, 0x07, 0x03, 0x05, 0x04, 0x0A, 0x04, 0x0B, 0x0C, 0x04, // 128 0x02, 0x05, 0x06, 0x07, 0x06, 0x07, 0x09, 0x0F, 0x05, 0x08, 0x07, 0x0E, 0x07, 0x0E, 0x0F, 0x0D, // 144 0x03, 0x05, 0x04, 0x0B, 0x05, 0x08, 0x07, 0x0E, 0x04, 0x07, 0x03, 0x04, 0x0A, 0x0E, 0x04, 0x03, // 160 0x04, 0x0A, 0x0C, 0x04, 0x07, 0x0E, 0x0F, 0x0D, 0x0B, 0x0E, 0x04, 0x03, 0x0E, 0x02, 0x0D, 0x01, // 176 0x03, 0x05, 0x05, 0x08, 0x04, 0x0A, 0x07, 0x0E, 0x04, 0x07, 0x0B, 0x0E, 0x03, 0x04, 0x04, 0x03, // 192 0x04, 0x0B, 0x07, 0x0E, 0x0C, 0x04, 0x0F, 0x0D, 0x0A, 0x0E, 0x0E, 0x02, 0x04, 0x03, 0x0D, 0x01, // 208 0x04, 0x07, 0x0A, 0x0E, 0x0B, 0x0E, 0x0E, 0x02, 0x0C, 0x0F, 0x04, 0x0D, 0x04, 0x0D, 0x03, 0x01, // 224 0x03, 0x04, 0x04, 0x03, 0x04, 0x03, 0x0D, 0x01, 0x04, 0x0D, 0x03, 0x01, 0x03, 0x01, 0x01, 0x00 // 240 }; // The regularCellData table holds the triangulation data for all 16 distinct classes to // which a case can be mapped by the regularCellClass table. const RegularCellData regularCellData[16] = { { 0x00, {} }, { 0x31, { 0, 1, 2 } }, { 0x62, { 0, 1, 2, 3, 4, 5 } }, { 0x62, { 0, 1, 2, 4, 5, 3 } }, //{ 0x42, { 0, 1, 2, 0, 2, 3 } } { 0x93, { 0, 1, 4, 5, 3, 6, 7, 2, 8 } }, //{ 0x53, { 0, 1, 4, 1, 3, 4, 1, 2, 3 } } { 0x73, { 0, 1, 2, 0, 2, 3, 4, 5, 6 } }, { 0x93, { 0, 1, 2, 3, 4, 5, 6, 7, 8 } }, { 0xC4, { 0, 1, 4, 8, 3, 9, 10, 2, 11, 5, 6, 7 } }, //7 { 0x84, { 0, 1, 4, 1, 3, 4, 1, 2, 3, 5, 6, 7 } }, { 0x84, { 0, 1, 2, 0, 2, 3, 4, 5, 6, 4, 6, 7 } }, { 0xC4, { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 } }, { 0xC4, { 0, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3 } }, //A { 0x64, { 0, 4, 5, 0, 1, 4, 1, 3, 4, 1, 2, 3 } }, { 0xC4, { 0, 5, 4, 6, 8, 7, 9, 11, 10, 1, 3, 2 } }, //B { 0x64, { 0, 5, 4, 0, 4, 1, 1, 4, 3, 1, 3, 2 } }, { 0xC4, { 0, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3 } }, //C { 0x64, { 0, 4, 5, 0, 3, 4, 0, 1, 3, 1, 2, 3 } }, { 0xC4, { 0, 1, 2, 6, 7, 3, 8, 9, 4, 10, 11, 5 } }, //D { 0x64, { 0, 1, 2, 0, 2, 3, 0, 3, 4, 0, 4, 5 } }, { 0xF5, { 0, 1, 2, 7, 8, 3, 9, 10, 4, 11, 12, 5, 13, 14, 6 } }, //E { 0x75, { 0, 1, 2, 0, 2, 3, 0, 3, 4, 0, 4, 5, 0, 5, 6 } }, { 0xF5, { 0, 4, 5, 9, 3, 10, 11, 1, 12, 13, 2, 14, 6, 7, 8 } } //F { 0x95, { 0, 4, 5, 0, 3, 4, 0, 1, 3, 1, 2, 3, 6, 7, 8 } } }; // The regularVertexData table gives the vertex locations for every one of the 256 possible // cases in the modified Marching Cubes algorithm. Each 16-bit value also provides information // about whether a vertex can be reused from a neighboring cell. See Section 3.3 for details. // The low byte contains the indexes for the two endpoints of the edge on which the vertex lies, // as numbered in Figure 3.7. The high byte contains the vertex reuse data shown in Figure 3.8. const unsigned short regularVertexData[256][15] = { {}, { 0x6201, 0x5102, 0x3304 }, { 0x6201, 0x2315, 0x4113 }, { 0x5102, 0x3304, 0x2315, 0x4113, 0x5102, 0x2315 }, { 0x5102, 0x4223, 0x1326 }, { 0x3304, 0x6201, 0x4223, 0x1326, 0x3304, 0x4223 }, { 0x6201, 0x2315, 0x4113, 0x5102, 0x4223, 0x1326 }, { 0x4223, 0x1326, 0x3304, 0x2315, 0x4113, 0x1326, 0x4113, 0x1326, 0x2315 }, { 0x4113, 0x8337, 0x4223 }, { 0x6201, 0x5102, 0x3304, 0x4223, 0x4113, 0x8337 }, { 0x6201, 0x2315, 0x8337, 0x4223, 0x6201, 0x8337 }, { 0x5102, 0x3304, 0x2315, 0x8337, 0x4223, 0x3304, 0x4223, 0x3304, 0x8337 }, { 0x5102, 0x4113, 0x8337, 0x1326, 0x5102, 0x8337 }, { 0x4113, 0x8337, 0x1326, 0x3304, 0x6201, 0x8337, 0x6201, 0x8337, 0x3304 }, { 0x6201, 0x2315, 0x8337, 0x1326, 0x5102, 0x2315, 0x5102, 0x2315, 0x1326 }, { 0x3304, 0x2315, 0x8337, 0x1326, 0x3304, 0x8337 }, //16 3 5 15 { 0x3304, 0x1146, 0x2245 }, { 0x6201, 0x5102, 0x1146, 0x2245, 0x6201, 0x1146 }, { 0x6201, 0x2315, 0x4113, 0x3304, 0x1146, 0x2245 }, { 0x2315, 0x4113, 0x5102, 0x1146, 0x2245, 0x4113, 0x2245, 0x4113, 0x1146 }, { 0x5102, 0x4223, 0x1326, 0x3304, 0x1146, 0x2245 }, { 0x1146, 0x2245, 0x6201, 0x4223, 0x1326, 0x2245, 0x1326, 0x2245, 0x4223 }, { 0x3304, 0x1146, 0x2245, 0x6201, 0x2315, 0x4113, 0x5102, 0x4223, 0x1326 }, { 0x4223, 0x1326, 0x1146, 0x2245, 0x2315, 0x4113, 0x4223, 0x2245, 0x2315, 0x4223, 0x1326, 0x2245 }, { 0x4223, 0x4113, 0x8337, 0x3304, 0x1146, 0x2245 }, { 0x6201, 0x5102, 0x1146, 0x2245, 0x4223, 0x4113, 0x8337 }, { 0x4223, 0x6201, 0x2315, 0x8337, 0x3304, 0x1146, 0x2245 }, { 0x4223, 0x8337, 0x2315, 0x2245, 0x1146, 0x5102, 0x4223, 0x8337, 0x1146, 0x8337, 0x2245, 0x1146 }, { 0x5102, 0x4113, 0x8337, 0x1326, 0x3304, 0x1146, 0x2245 }, { 0x4113, 0x8337, 0x1326, 0x1146, 0x2245, 0x6201, 0x4113, 0x8337, 0x2245, 0x8337, 0x1146, 0x2245 }, { 0x6201, 0x2315, 0x8337, 0x1326, 0x5102, 0x3304, 0x1146, 0x2245, 0x2315, 0x5102, 0x2315, 0x1326 }, { 0x2245, 0x2315, 0x8337, 0x1326, 0x1146, 0x2315, 0x1146, 0x2315, 0x1326 }, //32 3 10 15 { 0x2315, 0x2245, 0x8157 }, { 0x6201, 0x5102, 0x3304, 0x2315, 0x2245, 0x8157 }, { 0x4113, 0x6201, 0x2245, 0x8157, 0x4113, 0x2245 }, { 0x2245, 0x8157, 0x4113, 0x5102, 0x3304, 0x8157, 0x3304, 0x8157, 0x5102 }, { 0x5102, 0x4223, 0x1326, 0x2315, 0x2245, 0x8157 }, { 0x6201, 0x4223, 0x1326, 0x3304, 0x2315, 0x2245, 0x8157 }, { 0x6201, 0x2245, 0x8157, 0x4113, 0x5102, 0x4223, 0x1326 }, { 0x4223, 0x1326, 0x3304, 0x2245, 0x8157, 0x4113, 0x4223, 0x1326, 0x8157, 0x1326, 0x2245, 0x8157 }, { 0x4223, 0x4113, 0x8337, 0x2315, 0x2245, 0x8157 }, { 0x6201, 0x5102, 0x3304, 0x4223, 0x4113, 0x8337, 0x2315, 0x2245, 0x8157 }, { 0x8337, 0x4223, 0x6201, 0x2245, 0x8157, 0x4223, 0x8157, 0x4223, 0x2245 }, { 0x5102, 0x3304, 0x2245, 0x8157, 0x8337, 0x4223, 0x5102, 0x8157, 0x8337, 0x5102, 0x3304, 0x8157 }, { 0x5102, 0x4113, 0x8337, 0x1326, 0x2315, 0x2245, 0x8157 }, { 0x4113, 0x8337, 0x1326, 0x3304, 0x6201, 0x2315, 0x2245, 0x8157, 0x8337, 0x6201, 0x8337, 0x3304 }, { 0x5102, 0x1326, 0x8337, 0x8157, 0x2245, 0x6201, 0x5102, 0x1326, 0x2245, 0x1326, 0x8157, 0x2245 }, { 0x8157, 0x8337, 0x1326, 0x3304, 0x2245, 0x8337, 0x2245, 0x8337, 0x3304 }, //48 1 2 7 11 { 0x2315, 0x3304, 0x1146, 0x8157, 0x2315, 0x1146 }, { 0x6201, 0x5102, 0x1146, 0x8157, 0x2315, 0x5102, 0x2315, 0x5102, 0x8157 }, { 0x3304, 0x1146, 0x8157, 0x4113, 0x6201, 0x1146, 0x6201, 0x1146, 0x4113 }, { 0x4113, 0x5102, 0x1146, 0x8157, 0x4113, 0x1146 }, { 0x2315, 0x3304, 0x1146, 0x8157, 0x5102, 0x4223, 0x1326 }, { 0x1326, 0x4223, 0x6201, 0x2315, 0x8157, 0x1146, 0x1326, 0x4223, 0x8157, 0x4223, 0x2315, 0x8157 }, { 0x3304, 0x1146, 0x8157, 0x4113, 0x6201, 0x5102, 0x4223, 0x1326, 0x1146, 0x6201, 0x1146, 0x4113 }, { 0x1326, 0x1146, 0x8157, 0x4113, 0x4223, 0x1146, 0x4223, 0x1146, 0x4113 }, { 0x2315, 0x3304, 0x1146, 0x8157, 0x4223, 0x4113, 0x8337 }, { 0x6201, 0x5102, 0x1146, 0x8157, 0x2315, 0x4223, 0x4113, 0x8337, 0x5102, 0x2315, 0x5102, 0x8157 }, { 0x3304, 0x1146, 0x8157, 0x8337, 0x4223, 0x6201, 0x3304, 0x1146, 0x4223, 0x1146, 0x8337, 0x4223 }, { 0x4223, 0x5102, 0x1146, 0x8157, 0x8337, 0x5102, 0x8337, 0x5102, 0x8157 }, { 0x2315, 0x3304, 0x1146, 0x8157, 0x5102, 0x4113, 0x8337, 0x1326 }, { 0x6201, 0x4113, 0x8337, 0x1326, 0x1146, 0x8157, 0x2315, 0x6201, 0x8337, 0x6201, 0x1326, 0x6201, 0x1146, 0x6201, 0x8157 }, { 0x6201, 0x3304, 0x1146, 0x8157, 0x8337, 0x1326, 0x5102, 0x6201, 0x1146, 0x6201, 0x8157, 0x6201, 0x8337, 0x6201, 0x1326 }, { 0x1326, 0x1146, 0x8157, 0x8337, 0x1326, 0x8157 }, //64 5 12 15 { 0x1326, 0x8267, 0x1146 }, { 0x6201, 0x5102, 0x3304, 0x1326, 0x8267, 0x1146 }, { 0x6201, 0x2315, 0x4113, 0x1326, 0x8267, 0x1146 }, { 0x5102, 0x3304, 0x2315, 0x4113, 0x1326, 0x8267, 0x1146 }, { 0x5102, 0x4223, 0x8267, 0x1146, 0x5102, 0x8267 }, { 0x3304, 0x6201, 0x4223, 0x8267, 0x1146, 0x6201, 0x1146, 0x6201, 0x8267 }, { 0x5102, 0x4223, 0x8267, 0x1146, 0x6201, 0x2315, 0x4113 }, { 0x1146, 0x8267, 0x4223, 0x4113, 0x2315, 0x3304, 0x1146, 0x8267, 0x2315, 0x8267, 0x4113, 0x2315 }, { 0x4113, 0x8337, 0x4223, 0x1326, 0x8267, 0x1146 }, { 0x6201, 0x5102, 0x3304, 0x4223, 0x4113, 0x8337, 0x1326, 0x8267, 0x1146 }, { 0x6201, 0x2315, 0x8337, 0x4223, 0x1326, 0x8267, 0x1146 }, { 0x5102, 0x3304, 0x2315, 0x8337, 0x4223, 0x1326, 0x8267, 0x1146, 0x3304, 0x4223, 0x3304, 0x8337 }, { 0x8267, 0x1146, 0x5102, 0x4113, 0x8337, 0x1146, 0x8337, 0x1146, 0x4113 }, { 0x6201, 0x4113, 0x8337, 0x8267, 0x1146, 0x3304, 0x6201, 0x8267, 0x1146, 0x6201, 0x4113, 0x8267 }, { 0x6201, 0x2315, 0x8337, 0x8267, 0x1146, 0x5102, 0x6201, 0x2315, 0x1146, 0x2315, 0x8267, 0x1146 }, { 0x1146, 0x3304, 0x2315, 0x8337, 0x8267, 0x3304, 0x8267, 0x3304, 0x8337 }, //80 1 4 7 13 { 0x3304, 0x1326, 0x8267, 0x2245, 0x3304, 0x8267 }, { 0x1326, 0x8267, 0x2245, 0x6201, 0x5102, 0x8267, 0x5102, 0x8267, 0x6201 }, { 0x3304, 0x1326, 0x8267, 0x2245, 0x6201, 0x2315, 0x4113 }, { 0x1326, 0x8267, 0x2245, 0x2315, 0x4113, 0x5102, 0x1326, 0x8267, 0x4113, 0x8267, 0x2315, 0x4113 }, { 0x5102, 0x4223, 0x8267, 0x2245, 0x3304, 0x4223, 0x3304, 0x4223, 0x2245 }, { 0x6201, 0x4223, 0x8267, 0x2245, 0x6201, 0x8267 }, { 0x5102, 0x4223, 0x8267, 0x2245, 0x3304, 0x6201, 0x2315, 0x4113, 0x4223, 0x3304, 0x4223, 0x2245 }, { 0x4113, 0x4223, 0x8267, 0x2245, 0x2315, 0x4223, 0x2315, 0x4223, 0x2245 }, { 0x3304, 0x1326, 0x8267, 0x2245, 0x4223, 0x4113, 0x8337 }, { 0x1326, 0x8267, 0x2245, 0x6201, 0x5102, 0x4223, 0x4113, 0x8337, 0x8267, 0x5102, 0x8267, 0x6201 }, { 0x3304, 0x1326, 0x8267, 0x2245, 0x4223, 0x6201, 0x2315, 0x8337 }, { 0x5102, 0x1326, 0x8267, 0x2245, 0x2315, 0x8337, 0x4223, 0x5102, 0x8267, 0x5102, 0x2245, 0x5102, 0x2315, 0x5102, 0x8337 }, { 0x3304, 0x2245, 0x8267, 0x8337, 0x4113, 0x5102, 0x3304, 0x2245, 0x4113, 0x2245, 0x8337, 0x4113 }, { 0x8337, 0x8267, 0x2245, 0x6201, 0x4113, 0x8267, 0x4113, 0x8267, 0x6201 }, { 0x5102, 0x6201, 0x2315, 0x8337, 0x8267, 0x2245, 0x3304, 0x5102, 0x2315, 0x5102, 0x8337, 0x5102, 0x8267, 0x5102, 0x2245 }, { 0x2315, 0x8337, 0x8267, 0x2245, 0x2315, 0x8267 }, //96 - { 0x2315, 0x2245, 0x8157, 0x1326, 0x8267, 0x1146 }, { 0x6201, 0x5102, 0x3304, 0x2315, 0x2245, 0x8157, 0x1326, 0x8267, 0x1146 }, { 0x6201, 0x2245, 0x8157, 0x4113, 0x1326, 0x8267, 0x1146 }, { 0x2245, 0x8157, 0x4113, 0x5102, 0x3304, 0x1326, 0x8267, 0x1146, 0x8157, 0x3304, 0x8157, 0x5102 }, { 0x4223, 0x8267, 0x1146, 0x5102, 0x2315, 0x2245, 0x8157 }, { 0x3304, 0x6201, 0x4223, 0x8267, 0x1146, 0x2315, 0x2245, 0x8157, 0x6201, 0x1146, 0x6201, 0x8267 }, { 0x4223, 0x8267, 0x1146, 0x5102, 0x6201, 0x2245, 0x8157, 0x4113 }, { 0x3304, 0x2245, 0x8157, 0x4113, 0x4223, 0x8267, 0x1146, 0x3304, 0x8157, 0x3304, 0x4113, 0x3304, 0x4223, 0x3304, 0x8267 }, { 0x4223, 0x4113, 0x8337, 0x2315, 0x2245, 0x8157, 0x1326, 0x8267, 0x1146 }, { 0x6201, 0x5102, 0x3304, 0x4223, 0x4113, 0x8337, 0x2315, 0x2245, 0x8157, 0x1326, 0x8267, 0x1146 }, { 0x8337, 0x4223, 0x6201, 0x2245, 0x8157, 0x1326, 0x8267, 0x1146, 0x4223, 0x8157, 0x4223, 0x2245 }, { 0x4223, 0x5102, 0x3304, 0x2245, 0x8157, 0x8337, 0x1326, 0x8267, 0x1146, 0x4223, 0x8157, 0x4223, 0x2245, 0x5102, 0x2245 }, { 0x8267, 0x1146, 0x5102, 0x4113, 0x8337, 0x2315, 0x2245, 0x8157, 0x1146, 0x8337, 0x1146, 0x4113 }, { 0x6201, 0x4113, 0x8337, 0x8267, 0x1146, 0x3304, 0x2315, 0x2245, 0x8157, 0x6201, 0x1146, 0x6201, 0x8267, 0x4113, 0x8267 }, { 0x8337, 0x8267, 0x1146, 0x5102, 0x6201, 0x2245, 0x8157, 0x8337, 0x1146, 0x8337, 0x5102, 0x8337, 0x6201, 0x8337, 0x2245 }, { 0x3304, 0x2245, 0x8157, 0x8337, 0x8267, 0x1146, 0x3304, 0x8157, 0x3304, 0x8337, 0x3304, 0x8267 }, //112 0 3 5 { 0x8157, 0x2315, 0x3304, 0x1326, 0x8267, 0x2315, 0x8267, 0x2315, 0x1326 }, { 0x8267, 0x8157, 0x2315, 0x6201, 0x5102, 0x1326, 0x8267, 0x6201, 0x5102, 0x8267, 0x8157, 0x6201 }, { 0x8267, 0x1326, 0x3304, 0x6201, 0x4113, 0x8157, 0x8267, 0x1326, 0x4113, 0x1326, 0x6201, 0x4113 }, { 0x8267, 0x8157, 0x4113, 0x5102, 0x1326, 0x8157, 0x1326, 0x8157, 0x5102 }, { 0x5102, 0x4223, 0x8267, 0x8157, 0x2315, 0x3304, 0x5102, 0x4223, 0x2315, 0x4223, 0x8157, 0x2315 }, { 0x2315, 0x6201, 0x4223, 0x8267, 0x8157, 0x6201, 0x8157, 0x6201, 0x8267 }, { 0x3304, 0x5102, 0x4223, 0x8267, 0x8157, 0x4113, 0x6201, 0x3304, 0x4223, 0x3304, 0x8267, 0x3304, 0x8157, 0x3304, 0x4113 }, { 0x4113, 0x4223, 0x8267, 0x8157, 0x4113, 0x8267 }, { 0x8157, 0x2315, 0x3304, 0x1326, 0x8267, 0x4223, 0x4113, 0x8337, 0x2315, 0x8267, 0x2315, 0x1326 }, { 0x8157, 0x2315, 0x6201, 0x5102, 0x1326, 0x8267, 0x4223, 0x4113, 0x8337, 0x8157, 0x1326, 0x8157, 0x5102, 0x2315, 0x5102 }, { 0x8157, 0x8337, 0x4223, 0x6201, 0x3304, 0x1326, 0x8267, 0x8157, 0x4223, 0x8157, 0x6201, 0x8157, 0x3304, 0x8157, 0x1326 }, { 0x5102, 0x1326, 0x8267, 0x8157, 0x8337, 0x4223, 0x5102, 0x8267, 0x5102, 0x8157, 0x5102, 0x8337 }, { 0x8267, 0x8157, 0x2315, 0x3304, 0x5102, 0x4113, 0x8337, 0x8267, 0x2315, 0x8267, 0x3304, 0x8267, 0x5102, 0x8267, 0x4113 }, { 0x6201, 0x4113, 0x8337, 0x8267, 0x8157, 0x2315, 0x6201, 0x8337, 0x6201, 0x8267, 0x6201, 0x8157 }, { 0x6201, 0x3304, 0x5102, 0x8337, 0x8267, 0x8157 }, { 0x8337, 0x8267, 0x8157 }, //128 10 12 15 { 0x8337, 0x8157, 0x8267 }, { 0x6201, 0x5102, 0x3304, 0x8337, 0x8157, 0x8267 }, { 0x6201, 0x2315, 0x4113, 0x8337, 0x8157, 0x8267 }, { 0x5102, 0x3304, 0x2315, 0x4113, 0x8337, 0x8157, 0x8267 }, { 0x5102, 0x4223, 0x1326, 0x8337, 0x8157, 0x8267 }, { 0x6201, 0x4223, 0x1326, 0x3304, 0x8337, 0x8157, 0x8267 }, { 0x6201, 0x2315, 0x4113, 0x5102, 0x4223, 0x1326, 0x8337, 0x8157, 0x8267 }, { 0x4223, 0x1326, 0x3304, 0x2315, 0x4113, 0x8337, 0x8157, 0x8267, 0x1326, 0x4113, 0x1326, 0x2315 }, { 0x4113, 0x8157, 0x8267, 0x4223, 0x4113, 0x8267 }, { 0x4223, 0x4113, 0x8157, 0x8267, 0x6201, 0x5102, 0x3304 }, { 0x8157, 0x8267, 0x4223, 0x6201, 0x2315, 0x8267, 0x2315, 0x8267, 0x6201 }, { 0x3304, 0x2315, 0x8157, 0x8267, 0x4223, 0x5102, 0x3304, 0x2315, 0x4223, 0x2315, 0x8267, 0x4223 }, { 0x1326, 0x5102, 0x4113, 0x8157, 0x8267, 0x5102, 0x8267, 0x5102, 0x8157 }, { 0x8157, 0x4113, 0x6201, 0x3304, 0x1326, 0x8267, 0x8157, 0x4113, 0x1326, 0x4113, 0x3304, 0x1326 }, { 0x1326, 0x5102, 0x6201, 0x2315, 0x8157, 0x8267, 0x1326, 0x2315, 0x8157, 0x1326, 0x5102, 0x2315 }, { 0x8267, 0x1326, 0x3304, 0x2315, 0x8157, 0x1326, 0x8157, 0x1326, 0x2315 }, //144 - { 0x3304, 0x1146, 0x2245, 0x8337, 0x8157, 0x8267 }, { 0x6201, 0x5102, 0x1146, 0x2245, 0x8337, 0x8157, 0x8267 }, { 0x6201, 0x2315, 0x4113, 0x3304, 0x1146, 0x2245, 0x8337, 0x8157, 0x8267 }, { 0x2315, 0x4113, 0x5102, 0x1146, 0x2245, 0x8337, 0x8157, 0x8267, 0x4113, 0x2245, 0x4113, 0x1146 }, { 0x5102, 0x4223, 0x1326, 0x3304, 0x1146, 0x2245, 0x8337, 0x8157, 0x8267 }, { 0x1146, 0x2245, 0x6201, 0x4223, 0x1326, 0x8337, 0x8157, 0x8267, 0x2245, 0x1326, 0x2245, 0x4223 }, { 0x6201, 0x2315, 0x4113, 0x5102, 0x4223, 0x1326, 0x3304, 0x1146, 0x2245, 0x8337, 0x8157, 0x8267 }, { 0x4113, 0x4223, 0x1326, 0x1146, 0x2245, 0x2315, 0x8337, 0x8157, 0x8267, 0x4113, 0x2245, 0x4113, 0x1146, 0x4223, 0x1146 }, { 0x4223, 0x4113, 0x8157, 0x8267, 0x3304, 0x1146, 0x2245 }, { 0x6201, 0x5102, 0x1146, 0x2245, 0x4223, 0x4113, 0x8157, 0x8267 }, { 0x8157, 0x8267, 0x4223, 0x6201, 0x2315, 0x3304, 0x1146, 0x2245, 0x8267, 0x2315, 0x8267, 0x6201 }, { 0x2315, 0x8157, 0x8267, 0x4223, 0x5102, 0x1146, 0x2245, 0x2315, 0x8267, 0x2315, 0x4223, 0x2315, 0x5102, 0x2315, 0x1146 }, { 0x1326, 0x5102, 0x4113, 0x8157, 0x8267, 0x3304, 0x1146, 0x2245, 0x5102, 0x8267, 0x5102, 0x8157 }, { 0x1326, 0x1146, 0x2245, 0x6201, 0x4113, 0x8157, 0x8267, 0x1326, 0x2245, 0x1326, 0x6201, 0x1326, 0x4113, 0x1326, 0x8157 }, { 0x5102, 0x6201, 0x2315, 0x8157, 0x8267, 0x1326, 0x3304, 0x1146, 0x2245, 0x5102, 0x8267, 0x5102, 0x8157, 0x6201, 0x8157 }, { 0x1326, 0x1146, 0x2245, 0x2315, 0x8157, 0x8267, 0x1326, 0x2245, 0x1326, 0x2315, 0x1326, 0x8157 }, //160 2 8 11 14 { 0x2315, 0x2245, 0x8267, 0x8337, 0x2315, 0x8267 }, { 0x2315, 0x2245, 0x8267, 0x8337, 0x6201, 0x5102, 0x3304 }, { 0x4113, 0x6201, 0x2245, 0x8267, 0x8337, 0x6201, 0x8337, 0x6201, 0x8267 }, { 0x5102, 0x4113, 0x8337, 0x8267, 0x2245, 0x3304, 0x5102, 0x4113, 0x2245, 0x4113, 0x8267, 0x2245 }, { 0x2315, 0x2245, 0x8267, 0x8337, 0x5102, 0x4223, 0x1326 }, { 0x6201, 0x4223, 0x1326, 0x3304, 0x8337, 0x2315, 0x2245, 0x8267 }, { 0x4113, 0x6201, 0x2245, 0x8267, 0x8337, 0x5102, 0x4223, 0x1326, 0x6201, 0x8337, 0x6201, 0x8267 }, { 0x4113, 0x4223, 0x1326, 0x3304, 0x2245, 0x8267, 0x8337, 0x4113, 0x1326, 0x4113, 0x3304, 0x4113, 0x2245, 0x4113, 0x8267 }, { 0x2315, 0x2245, 0x8267, 0x4223, 0x4113, 0x2245, 0x4113, 0x2245, 0x4223 }, { 0x2315, 0x2245, 0x8267, 0x4223, 0x4113, 0x6201, 0x5102, 0x3304, 0x2245, 0x4113, 0x2245, 0x4223 }, { 0x6201, 0x2245, 0x8267, 0x4223, 0x6201, 0x8267 }, { 0x3304, 0x2245, 0x8267, 0x4223, 0x5102, 0x2245, 0x5102, 0x2245, 0x4223 }, { 0x5102, 0x4113, 0x2315, 0x2245, 0x8267, 0x1326, 0x5102, 0x4113, 0x8267, 0x4113, 0x2245, 0x8267 }, { 0x4113, 0x2315, 0x2245, 0x8267, 0x1326, 0x3304, 0x6201, 0x4113, 0x2245, 0x4113, 0x8267, 0x4113, 0x1326, 0x4113, 0x3304 }, { 0x5102, 0x6201, 0x2245, 0x8267, 0x1326, 0x6201, 0x1326, 0x6201, 0x8267 }, { 0x3304, 0x2245, 0x8267, 0x1326, 0x3304, 0x8267 }, //176 0 3 10 { 0x8267, 0x8337, 0x2315, 0x3304, 0x1146, 0x8337, 0x1146, 0x8337, 0x3304 }, { 0x5102, 0x1146, 0x8267, 0x8337, 0x2315, 0x6201, 0x5102, 0x1146, 0x2315, 0x1146, 0x8337, 0x2315 }, { 0x3304, 0x1146, 0x8267, 0x8337, 0x4113, 0x6201, 0x3304, 0x8337, 0x4113, 0x3304, 0x1146, 0x8337 }, { 0x8337, 0x4113, 0x5102, 0x1146, 0x8267, 0x4113, 0x8267, 0x4113, 0x1146 }, { 0x8267, 0x8337, 0x2315, 0x3304, 0x1146, 0x5102, 0x4223, 0x1326, 0x8337, 0x1146, 0x8337, 0x3304 }, { 0x1146, 0x8267, 0x8337, 0x2315, 0x6201, 0x4223, 0x1326, 0x1146, 0x8337, 0x1146, 0x2315, 0x1146, 0x6201, 0x1146, 0x4223 }, { 0x8267, 0x8337, 0x4113, 0x6201, 0x3304, 0x1146, 0x5102, 0x4223, 0x1326, 0x8267, 0x3304, 0x8267, 0x6201, 0x8337, 0x6201 }, { 0x4113, 0x4223, 0x1326, 0x1146, 0x8267, 0x8337, 0x4113, 0x1326, 0x4113, 0x1146, 0x4113, 0x8267 }, { 0x3304, 0x2315, 0x4113, 0x4223, 0x8267, 0x1146, 0x3304, 0x2315, 0x8267, 0x2315, 0x4223, 0x8267 }, { 0x2315, 0x6201, 0x5102, 0x1146, 0x8267, 0x4223, 0x4113, 0x2315, 0x5102, 0x2315, 0x1146, 0x2315, 0x8267, 0x2315, 0x4223 }, { 0x1146, 0x8267, 0x4223, 0x6201, 0x3304, 0x8267, 0x3304, 0x8267, 0x6201 }, { 0x5102, 0x1146, 0x8267, 0x4223, 0x5102, 0x8267 }, { 0x8267, 0x1326, 0x5102, 0x4113, 0x2315, 0x3304, 0x1146, 0x8267, 0x5102, 0x8267, 0x4113, 0x8267, 0x2315, 0x8267, 0x3304 }, { 0x6201, 0x4113, 0x2315, 0x1326, 0x1146, 0x8267 }, { 0x6201, 0x3304, 0x1146, 0x8267, 0x1326, 0x5102, 0x6201, 0x1146, 0x6201, 0x8267, 0x6201, 0x1326 }, { 0x1326, 0x1146, 0x8267 }, //192 4 8 13 14 { 0x1326, 0x8337, 0x8157, 0x1146, 0x1326, 0x8157 }, { 0x8337, 0x8157, 0x1146, 0x1326, 0x6201, 0x5102, 0x3304 }, { 0x8337, 0x8157, 0x1146, 0x1326, 0x6201, 0x2315, 0x4113 }, { 0x4113, 0x5102, 0x3304, 0x2315, 0x1326, 0x8337, 0x8157, 0x1146 }, { 0x8337, 0x8157, 0x1146, 0x5102, 0x4223, 0x8157, 0x4223, 0x8157, 0x5102 }, { 0x6201, 0x4223, 0x8337, 0x8157, 0x1146, 0x3304, 0x6201, 0x4223, 0x1146, 0x4223, 0x8157, 0x1146 }, { 0x8337, 0x8157, 0x1146, 0x5102, 0x4223, 0x6201, 0x2315, 0x4113, 0x8157, 0x4223, 0x8157, 0x5102 }, { 0x4223, 0x8337, 0x8157, 0x1146, 0x3304, 0x2315, 0x4113, 0x4223, 0x8157, 0x4223, 0x1146, 0x4223, 0x3304, 0x4223, 0x2315 }, { 0x4223, 0x4113, 0x8157, 0x1146, 0x1326, 0x4113, 0x1326, 0x4113, 0x1146 }, { 0x4223, 0x4113, 0x8157, 0x1146, 0x1326, 0x6201, 0x5102, 0x3304, 0x4113, 0x1326, 0x4113, 0x1146 }, { 0x1146, 0x8157, 0x2315, 0x6201, 0x4223, 0x1326, 0x1146, 0x8157, 0x4223, 0x8157, 0x6201, 0x4223 }, { 0x4223, 0x5102, 0x3304, 0x2315, 0x8157, 0x1146, 0x1326, 0x4223, 0x3304, 0x4223, 0x2315, 0x4223, 0x8157, 0x4223, 0x1146 }, { 0x4113, 0x8157, 0x1146, 0x5102, 0x4113, 0x1146 }, { 0x6201, 0x4113, 0x8157, 0x1146, 0x3304, 0x4113, 0x3304, 0x4113, 0x1146 }, { 0x2315, 0x8157, 0x1146, 0x5102, 0x6201, 0x8157, 0x6201, 0x8157, 0x5102 }, { 0x2315, 0x8157, 0x1146, 0x3304, 0x2315, 0x1146 }, //208 0 5 12 { 0x2245, 0x3304, 0x1326, 0x8337, 0x8157, 0x3304, 0x8157, 0x3304, 0x8337 }, { 0x6201, 0x2245, 0x8157, 0x8337, 0x1326, 0x5102, 0x6201, 0x2245, 0x1326, 0x2245, 0x8337, 0x1326 }, { 0x2245, 0x3304, 0x1326, 0x8337, 0x8157, 0x6201, 0x2315, 0x4113, 0x3304, 0x8157, 0x3304, 0x8337 }, { 0x2245, 0x2315, 0x4113, 0x5102, 0x1326, 0x8337, 0x8157, 0x2245, 0x4113, 0x2245, 0x5102, 0x2245, 0x1326, 0x2245, 0x8337 }, { 0x4223, 0x8337, 0x8157, 0x2245, 0x3304, 0x5102, 0x4223, 0x2245, 0x3304, 0x4223, 0x8337, 0x2245 }, { 0x8157, 0x2245, 0x6201, 0x4223, 0x8337, 0x2245, 0x8337, 0x2245, 0x4223 }, { 0x2245, 0x3304, 0x5102, 0x4223, 0x8337, 0x8157, 0x4113, 0x6201, 0x2315, 0x2245, 0x8337, 0x2245, 0x4223, 0x3304, 0x4223 }, { 0x4223, 0x8337, 0x8157, 0x2245, 0x2315, 0x4113, 0x4223, 0x8157, 0x4223, 0x2245, 0x4223, 0x2315 }, { 0x4113, 0x8157, 0x2245, 0x3304, 0x1326, 0x4223, 0x4113, 0x8157, 0x1326, 0x8157, 0x3304, 0x1326 }, { 0x1326, 0x4223, 0x4113, 0x8157, 0x2245, 0x6201, 0x5102, 0x1326, 0x4113, 0x1326, 0x8157, 0x1326, 0x2245, 0x1326, 0x6201 }, { 0x8157, 0x2245, 0x3304, 0x1326, 0x4223, 0x6201, 0x2315, 0x8157, 0x3304, 0x8157, 0x1326, 0x8157, 0x4223, 0x8157, 0x6201 }, { 0x5102, 0x1326, 0x4223, 0x2315, 0x8157, 0x2245 }, { 0x3304, 0x5102, 0x4113, 0x8157, 0x2245, 0x5102, 0x2245, 0x5102, 0x8157 }, { 0x4113, 0x8157, 0x2245, 0x6201, 0x4113, 0x2245 }, { 0x5102, 0x6201, 0x2315, 0x8157, 0x2245, 0x3304, 0x5102, 0x2315, 0x5102, 0x8157, 0x5102, 0x2245 }, { 0x2315, 0x8157, 0x2245 }, //224 0 10 12 { 0x1146, 0x1326, 0x8337, 0x2315, 0x2245, 0x1326, 0x2245, 0x1326, 0x2315 }, { 0x1146, 0x1326, 0x8337, 0x2315, 0x2245, 0x6201, 0x5102, 0x3304, 0x1326, 0x2245, 0x1326, 0x2315 }, { 0x6201, 0x2245, 0x1146, 0x1326, 0x8337, 0x4113, 0x6201, 0x2245, 0x8337, 0x2245, 0x1326, 0x8337 }, { 0x2245, 0x1146, 0x1326, 0x8337, 0x4113, 0x5102, 0x3304, 0x2245, 0x1326, 0x2245, 0x8337, 0x2245, 0x4113, 0x2245, 0x5102 }, { 0x5102, 0x1146, 0x2245, 0x2315, 0x8337, 0x4223, 0x5102, 0x1146, 0x8337, 0x1146, 0x2315, 0x8337 }, { 0x1146, 0x3304, 0x6201, 0x4223, 0x8337, 0x2315, 0x2245, 0x1146, 0x6201, 0x1146, 0x4223, 0x1146, 0x8337, 0x1146, 0x2315 }, { 0x8337, 0x4113, 0x6201, 0x2245, 0x1146, 0x5102, 0x4223, 0x8337, 0x6201, 0x8337, 0x2245, 0x8337, 0x1146, 0x8337, 0x5102 }, { 0x4223, 0x8337, 0x4113, 0x3304, 0x2245, 0x1146 }, { 0x4113, 0x2315, 0x2245, 0x1146, 0x1326, 0x4223, 0x4113, 0x1146, 0x1326, 0x4113, 0x2315, 0x1146 }, { 0x1146, 0x1326, 0x4223, 0x4113, 0x2315, 0x2245, 0x6201, 0x5102, 0x3304, 0x1146, 0x2315, 0x1146, 0x4113, 0x1326, 0x4113 }, { 0x1326, 0x4223, 0x6201, 0x2245, 0x1146, 0x4223, 0x1146, 0x4223, 0x2245 }, { 0x4223, 0x5102, 0x3304, 0x2245, 0x1146, 0x1326, 0x4223, 0x3304, 0x4223, 0x2245, 0x4223, 0x1146 }, { 0x2245, 0x1146, 0x5102, 0x4113, 0x2315, 0x1146, 0x2315, 0x1146, 0x4113 }, { 0x4113, 0x2315, 0x2245, 0x1146, 0x3304, 0x6201, 0x4113, 0x2245, 0x4113, 0x1146, 0x4113, 0x3304 }, { 0x6201, 0x2245, 0x1146, 0x5102, 0x6201, 0x1146 }, { 0x3304, 0x2245, 0x1146 }, //240 1 2 4 8 { 0x3304, 0x1326, 0x8337, 0x2315, 0x3304, 0x8337 }, { 0x5102, 0x1326, 0x8337, 0x2315, 0x6201, 0x1326, 0x6201, 0x1326, 0x2315 }, { 0x6201, 0x3304, 0x1326, 0x8337, 0x4113, 0x3304, 0x4113, 0x3304, 0x8337 }, { 0x5102, 0x1326, 0x8337, 0x4113, 0x5102, 0x8337 }, { 0x4223, 0x8337, 0x2315, 0x3304, 0x5102, 0x8337, 0x5102, 0x8337, 0x3304 }, { 0x6201, 0x4223, 0x8337, 0x2315, 0x6201, 0x8337 }, { 0x3304, 0x5102, 0x4223, 0x8337, 0x4113, 0x6201, 0x3304, 0x4223, 0x3304, 0x8337, 0x3304, 0x4113 }, { 0x4113, 0x4223, 0x8337 }, { 0x4113, 0x2315, 0x3304, 0x1326, 0x4223, 0x2315, 0x4223, 0x2315, 0x1326 }, { 0x1326, 0x4223, 0x4113, 0x2315, 0x6201, 0x5102, 0x1326, 0x4113, 0x1326, 0x2315, 0x1326, 0x6201 }, { 0x3304, 0x1326, 0x4223, 0x6201, 0x3304, 0x4223 }, { 0x5102, 0x1326, 0x4223 }, { 0x5102, 0x4113, 0x2315, 0x3304, 0x5102, 0x2315 }, { 0x6201, 0x4113, 0x2315 }, { 0x6201, 0x3304, 0x5102 }, {} //256 }; const Vector3 marching_cube_vertices[8] = { Vector3(0, 0, 0), Vector3(1, 0, 0), Vector3(0, 0, 1), Vector3(1, 0, 1), Vector3(0, 1, 0), Vector3(1, 1, 0), Vector3(0, 1, 1), Vector3(1, 1, 1) }; } // namespace MarchingCubes