pandemonium_engine/modules/voxelman/meshers/marching_cubes/marching_cubes_tables.cpp

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/*************************************************************************/
/* 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. */
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/*************************************************************************/
#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