marchingCubesTable.h

/*
 * Copyright 1993-2012 NVIDIA Corporation.  All rights reserved.
 *
 * Please refer to the NVIDIA end user license agreement (EULA) associated
 * with this source code for terms and conditions that govern your use of
 * this software. Any use, reproduction, disclosure, or distribution of
 * this software and related documentation outside the terms of the EULA
 * is strictly prohibited.
 *
 */

/*
   Tables for Marching Cubes
   http://local.wasp.uwa.edu.au/~pbourke/geometry/polygonise/
*/

#ifndef __MARCHING_CUBES_TABLE_H
#define __MARCHING_CUBES_TABLE_H

// edge table maps 8-bit flag representing which cube vertices are inside
// the isosurface to 12-bit number indicating which edges are intersected
uint 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
};

// triangle table maps same cube vertex index to a list of up to 5 triangles
// which are built from the interpolated edge vertices
#define X 255
uint triTable[256][16] =
{
    {X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 1, 9, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {1, 8, 3, 9, 8, 1, X, X, X, X, X, X, X, X, X, X},
    {1, 2, 10, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, 1, 2, 10, X, X, X, X, X, X, X, X, X, X},
    {9, 2, 10, 0, 2, 9, X, X, X, X, X, X, X, X, X, X},
    {2, 8, 3, 2, 10, 8, 10, 9, 8, X, X, X, X, X, X, X},
    {3, 11, 2, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 11, 2, 8, 11, 0, X, X, X, X, X, X, X, X, X, X},
    {1, 9, 0, 2, 3, 11, X, X, X, X, X, X, X, X, X, X},
    {1, 11, 2, 1, 9, 11, 9, 8, 11, X, X, X, X, X, X, X},
    {3, 10, 1, 11, 10, 3, X, X, X, X, X, X, X, X, X, X},
    {0, 10, 1, 0, 8, 10, 8, 11, 10, X, X, X, X, X, X, X},
    {3, 9, 0, 3, 11, 9, 11, 10, 9, X, X, X, X, X, X, X},
    {9, 8, 10, 10, 8, 11, X, X, X, X, X, X, X, X, X, X},
    {4, 7, 8, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {4, 3, 0, 7, 3, 4, X, X, X, X, X, X, X, X, X, X},
    {0, 1, 9, 8, 4, 7, X, X, X, X, X, X, X, X, X, X},
    {4, 1, 9, 4, 7, 1, 7, 3, 1, X, X, X, X, X, X, X},
    {1, 2, 10, 8, 4, 7, X, X, X, X, X, X, X, X, X, X},
    {3, 4, 7, 3, 0, 4, 1, 2, 10, X, X, X, X, X, X, X},
    {9, 2, 10, 9, 0, 2, 8, 4, 7, X, X, X, X, X, X, X},
    {2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, X, X, X, X},
    {8, 4, 7, 3, 11, 2, X, X, X, X, X, X, X, X, X, X},
    {11, 4, 7, 11, 2, 4, 2, 0, 4, X, X, X, X, X, X, X},
    {9, 0, 1, 8, 4, 7, 2, 3, 11, X, X, X, X, X, X, X},
    {4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, X, X, X, X},
    {3, 10, 1, 3, 11, 10, 7, 8, 4, X, X, X, X, X, X, X},
    {1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, X, X, X, X},
    {4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, X, X, X, X},
    {4, 7, 11, 4, 11, 9, 9, 11, 10, X, X, X, X, X, X, X},
    {9, 5, 4, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {9, 5, 4, 0, 8, 3, X, X, X, X, X, X, X, X, X, X},
    {0, 5, 4, 1, 5, 0, X, X, X, X, X, X, X, X, X, X},
    {8, 5, 4, 8, 3, 5, 3, 1, 5, X, X, X, X, X, X, X},
    {1, 2, 10, 9, 5, 4, X, X, X, X, X, X, X, X, X, X},
    {3, 0, 8, 1, 2, 10, 4, 9, 5, X, X, X, X, X, X, X},
    {5, 2, 10, 5, 4, 2, 4, 0, 2, X, X, X, X, X, X, X},
    {2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, X, X, X, X},
    {9, 5, 4, 2, 3, 11, X, X, X, X, X, X, X, X, X, X},
    {0, 11, 2, 0, 8, 11, 4, 9, 5, X, X, X, X, X, X, X},
    {0, 5, 4, 0, 1, 5, 2, 3, 11, X, X, X, X, X, X, X},
    {2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, X, X, X, X},
    {10, 3, 11, 10, 1, 3, 9, 5, 4, X, X, X, X, X, X, X},
    {4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, X, X, X, X},
    {5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, X, X, X, X},
    {5, 4, 8, 5, 8, 10, 10, 8, 11, X, X, X, X, X, X, X},
    {9, 7, 8, 5, 7, 9, X, X, X, X, X, X, X, X, X, X},
    {9, 3, 0, 9, 5, 3, 5, 7, 3, X, X, X, X, X, X, X},
    {0, 7, 8, 0, 1, 7, 1, 5, 7, X, X, X, X, X, X, X},
    {1, 5, 3, 3, 5, 7, X, X, X, X, X, X, X, X, X, X},
    {9, 7, 8, 9, 5, 7, 10, 1, 2, X, X, X, X, X, X, X},
    {10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, X, X, X, X},
    {8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, X, X, X, X},
    {2, 10, 5, 2, 5, 3, 3, 5, 7, X, X, X, X, X, X, X},
    {7, 9, 5, 7, 8, 9, 3, 11, 2, X, X, X, X, X, X, X},
    {9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, X, X, X, X},
    {2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, X, X, X, X},
    {11, 2, 1, 11, 1, 7, 7, 1, 5, X, X, X, X, X, X, X},
    {9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, X, X, X, X},
    {5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, X},
    {11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, X},
    {11, 10, 5, 7, 11, 5, X, X, X, X, X, X, X, X, X, X},
    {10, 6, 5, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, 5, 10, 6, X, X, X, X, X, X, X, X, X, X},
    {9, 0, 1, 5, 10, 6, X, X, X, X, X, X, X, X, X, X},
    {1, 8, 3, 1, 9, 8, 5, 10, 6, X, X, X, X, X, X, X},
    {1, 6, 5, 2, 6, 1, X, X, X, X, X, X, X, X, X, X},
    {1, 6, 5, 1, 2, 6, 3, 0, 8, X, X, X, X, X, X, X},
    {9, 6, 5, 9, 0, 6, 0, 2, 6, X, X, X, X, X, X, X},
    {5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, X, X, X, X},
    {2, 3, 11, 10, 6, 5, X, X, X, X, X, X, X, X, X, X},
    {11, 0, 8, 11, 2, 0, 10, 6, 5, X, X, X, X, X, X, X},
    {0, 1, 9, 2, 3, 11, 5, 10, 6, X, X, X, X, X, X, X},
    {5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, X, X, X, X},
    {6, 3, 11, 6, 5, 3, 5, 1, 3, X, X, X, X, X, X, X},
    {0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, X, X, X, X},
    {3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, X, X, X, X},
    {6, 5, 9, 6, 9, 11, 11, 9, 8, X, X, X, X, X, X, X},
    {5, 10, 6, 4, 7, 8, X, X, X, X, X, X, X, X, X, X},
    {4, 3, 0, 4, 7, 3, 6, 5, 10, X, X, X, X, X, X, X},
    {1, 9, 0, 5, 10, 6, 8, 4, 7, X, X, X, X, X, X, X},
    {10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, X, X, X, X},
    {6, 1, 2, 6, 5, 1, 4, 7, 8, X, X, X, X, X, X, X},
    {1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, X, X, X, X},
    {8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, X, X, X, X},
    {7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, X},
    {3, 11, 2, 7, 8, 4, 10, 6, 5, X, X, X, X, X, X, X},
    {5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, X, X, X, X},
    {0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, X, X, X, X},
    {9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, X},
    {8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, X, X, X, X},
    {5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, X},
    {0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, X},
    {6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, X, X, X, X},
    {10, 4, 9, 6, 4, 10, X, X, X, X, X, X, X, X, X, X},
    {4, 10, 6, 4, 9, 10, 0, 8, 3, X, X, X, X, X, X, X},
    {10, 0, 1, 10, 6, 0, 6, 4, 0, X, X, X, X, X, X, X},
    {8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, X, X, X, X},
    {1, 4, 9, 1, 2, 4, 2, 6, 4, X, X, X, X, X, X, X},
    {3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, X, X, X, X},
    {0, 2, 4, 4, 2, 6, X, X, X, X, X, X, X, X, X, X},
    {8, 3, 2, 8, 2, 4, 4, 2, 6, X, X, X, X, X, X, X},
    {10, 4, 9, 10, 6, 4, 11, 2, 3, X, X, X, X, X, X, X},
    {0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, X, X, X, X},
    {3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, X, X, X, X},
    {6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, X},
    {9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, X, X, X, X},
    {8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, X},
    {3, 11, 6, 3, 6, 0, 0, 6, 4, X, X, X, X, X, X, X},
    {6, 4, 8, 11, 6, 8, X, X, X, X, X, X, X, X, X, X},
    {7, 10, 6, 7, 8, 10, 8, 9, 10, X, X, X, X, X, X, X},
    {0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, X, X, X, X},
    {10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, X, X, X, X},
    {10, 6, 7, 10, 7, 1, 1, 7, 3, X, X, X, X, X, X, X},
    {1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, X, X, X, X},
    {2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, X},
    {7, 8, 0, 7, 0, 6, 6, 0, 2, X, X, X, X, X, X, X},
    {7, 3, 2, 6, 7, 2, X, X, X, X, X, X, X, X, X, X},
    {2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, X, X, X, X},
    {2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, X},
    {1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, X},
    {11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, X, X, X, X},
    {8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, X},
    {0, 9, 1, 11, 6, 7, X, X, X, X, X, X, X, X, X, X},
    {7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, X, X, X, X},
    {7, 11, 6, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {7, 6, 11, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {3, 0, 8, 11, 7, 6, X, X, X, X, X, X, X, X, X, X},
    {0, 1, 9, 11, 7, 6, X, X, X, X, X, X, X, X, X, X},
    {8, 1, 9, 8, 3, 1, 11, 7, 6, X, X, X, X, X, X, X},
    {10, 1, 2, 6, 11, 7, X, X, X, X, X, X, X, X, X, X},
    {1, 2, 10, 3, 0, 8, 6, 11, 7, X, X, X, X, X, X, X},
    {2, 9, 0, 2, 10, 9, 6, 11, 7, X, X, X, X, X, X, X},
    {6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, X, X, X, X},
    {7, 2, 3, 6, 2, 7, X, X, X, X, X, X, X, X, X, X},
    {7, 0, 8, 7, 6, 0, 6, 2, 0, X, X, X, X, X, X, X},
    {2, 7, 6, 2, 3, 7, 0, 1, 9, X, X, X, X, X, X, X},
    {1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, X, X, X, X},
    {10, 7, 6, 10, 1, 7, 1, 3, 7, X, X, X, X, X, X, X},
    {10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, X, X, X, X},
    {0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, X, X, X, X},
    {7, 6, 10, 7, 10, 8, 8, 10, 9, X, X, X, X, X, X, X},
    {6, 8, 4, 11, 8, 6, X, X, X, X, X, X, X, X, X, X},
    {3, 6, 11, 3, 0, 6, 0, 4, 6, X, X, X, X, X, X, X},
    {8, 6, 11, 8, 4, 6, 9, 0, 1, X, X, X, X, X, X, X},
    {9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, X, X, X, X},
    {6, 8, 4, 6, 11, 8, 2, 10, 1, X, X, X, X, X, X, X},
    {1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, X, X, X, X},
    {4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, X, X, X, X},
    {10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, X},
    {8, 2, 3, 8, 4, 2, 4, 6, 2, X, X, X, X, X, X, X},
    {0, 4, 2, 4, 6, 2, X, X, X, X, X, X, X, X, X, X},
    {1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, X, X, X, X},
    {1, 9, 4, 1, 4, 2, 2, 4, 6, X, X, X, X, X, X, X},
    {8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, X, X, X, X},
    {10, 1, 0, 10, 0, 6, 6, 0, 4, X, X, X, X, X, X, X},
    {4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, X},
    {10, 9, 4, 6, 10, 4, X, X, X, X, X, X, X, X, X, X},
    {4, 9, 5, 7, 6, 11, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 3, 4, 9, 5, 11, 7, 6, X, X, X, X, X, X, X},
    {5, 0, 1, 5, 4, 0, 7, 6, 11, X, X, X, X, X, X, X},
    {11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, X, X, X, X},
    {9, 5, 4, 10, 1, 2, 7, 6, 11, X, X, X, X, X, X, X},
    {6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, X, X, X, X},
    {7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, X, X, X, X},
    {3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, X},
    {7, 2, 3, 7, 6, 2, 5, 4, 9, X, X, X, X, X, X, X},
    {9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, X, X, X, X},
    {3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, X, X, X, X},
    {6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, X},
    {9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, X, X, X, X},
    {1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, X},
    {4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, X},
    {7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, X, X, X, X},
    {6, 9, 5, 6, 11, 9, 11, 8, 9, X, X, X, X, X, X, X},
    {3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, X, X, X, X},
    {0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, X, X, X, X},
    {6, 11, 3, 6, 3, 5, 5, 3, 1, X, X, X, X, X, X, X},
    {1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, X, X, X, X},
    {0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, X},
    {11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, X},
    {6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, X, X, X, X},
    {5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, X, X, X, X},
    {9, 5, 6, 9, 6, 0, 0, 6, 2, X, X, X, X, X, X, X},
    {1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, X},
    {1, 5, 6, 2, 1, 6, X, X, X, X, X, X, X, X, X, X},
    {1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, X},
    {10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, X, X, X, X},
    {0, 3, 8, 5, 6, 10, X, X, X, X, X, X, X, X, X, X},
    {10, 5, 6, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {11, 5, 10, 7, 5, 11, X, X, X, X, X, X, X, X, X, X},
    {11, 5, 10, 11, 7, 5, 8, 3, 0, X, X, X, X, X, X, X},
    {5, 11, 7, 5, 10, 11, 1, 9, 0, X, X, X, X, X, X, X},
    {10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, X, X, X, X},
    {11, 1, 2, 11, 7, 1, 7, 5, 1, X, X, X, X, X, X, X},
    {0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, X, X, X, X},
    {9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, X, X, X, X},
    {7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, X},
    {2, 5, 10, 2, 3, 5, 3, 7, 5, X, X, X, X, X, X, X},
    {8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, X, X, X, X},
    {9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, X, X, X, X},
    {9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, X},
    {1, 3, 5, 3, 7, 5, X, X, X, X, X, X, X, X, X, X},
    {0, 8, 7, 0, 7, 1, 1, 7, 5, X, X, X, X, X, X, X},
    {9, 0, 3, 9, 3, 5, 5, 3, 7, X, X, X, X, X, X, X},
    {9, 8, 7, 5, 9, 7, X, X, X, X, X, X, X, X, X, X},
    {5, 8, 4, 5, 10, 8, 10, 11, 8, X, X, X, X, X, X, X},
    {5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, X, X, X, X},
    {0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, X, X, X, X},
    {10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, X},
    {2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, X, X, X, X},
    {0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, X},
    {0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, X},
    {9, 4, 5, 2, 11, 3, X, X, X, X, X, X, X, X, X, X},
    {2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, X, X, X, X},
    {5, 10, 2, 5, 2, 4, 4, 2, 0, X, X, X, X, X, X, X},
    {3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, X},
    {5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, X, X, X, X},
    {8, 4, 5, 8, 5, 3, 3, 5, 1, X, X, X, X, X, X, X},
    {0, 4, 5, 1, 0, 5, X, X, X, X, X, X, X, X, X, X},
    {8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, X, X, X, X},
    {9, 4, 5, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {4, 11, 7, 4, 9, 11, 9, 10, 11, X, X, X, X, X, X, X},
    {0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, X, X, X, X},
    {1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, X, X, X, X},
    {3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, X},
    {4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, X, X, X, X},
    {9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, X},
    {11, 7, 4, 11, 4, 2, 2, 4, 0, X, X, X, X, X, X, X},
    {11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, X, X, X, X},
    {2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, X, X, X, X},
    {9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, X},
    {3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, X},
    {1, 10, 2, 8, 7, 4, X, X, X, X, X, X, X, X, X, X},
    {4, 9, 1, 4, 1, 7, 7, 1, 3, X, X, X, X, X, X, X},
    {4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, X, X, X, X},
    {4, 0, 3, 7, 4, 3, X, X, X, X, X, X, X, X, X, X},
    {4, 8, 7, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {9, 10, 8, 10, 11, 8, X, X, X, X, X, X, X, X, X, X},
    {3, 0, 9, 3, 9, 11, 11, 9, 10, X, X, X, X, X, X, X},
    {0, 1, 10, 0, 10, 8, 8, 10, 11, X, X, X, X, X, X, X},
    {3, 1, 10, 11, 3, 10, X, X, X, X, X, X, X, X, X, X},
    {1, 2, 11, 1, 11, 9, 9, 11, 8, X, X, X, X, X, X, X},
    {3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, X, X, X, X},
    {0, 2, 11, 8, 0, 11, X, X, X, X, X, X, X, X, X, X},
    {3, 2, 11, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {2, 3, 8, 2, 8, 10, 10, 8, 9, X, X, X, X, X, X, X},
    {9, 10, 2, 0, 9, 2, X, X, X, X, X, X, X, X, X, X},
    {2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, X, X, X, X},
    {1, 10, 2, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {1, 3, 8, 9, 1, 8, X, X, X, X, X, X, X, X, X, X},
    {0, 9, 1, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {0, 3, 8, X, X, X, X, X, X, X, X, X, X, X, X, X},
    {X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X}
};
#undef X

// number of vertices for each case above
uint numVertsTable[256] =
{
    0,
    3,
    3,
    6,
    3,
    6,
    6,
    9,
    3,
    6,
    6,
    9,
    6,
    9,
    9,
    6,
    3,
    6,
    6,
    9,
    6,
    9,
    9,
    12,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    9,
    3,
    6,
    6,
    9,
    6,
    9,
    9,
    12,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    9,
    6,
    9,
    9,
    6,
    9,
    12,
    12,
    9,
    9,
    12,
    12,
    9,
    12,
    15,
    15,
    6,
    3,
    6,
    6,
    9,
    6,
    9,
    9,
    12,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    9,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    15,
    9,
    12,
    12,
    15,
    12,
    15,
    15,
    12,
    6,
    9,
    9,
    12,
    9,
    12,
    6,
    9,
    9,
    12,
    12,
    15,
    12,
    15,
    9,
    6,
    9,
    12,
    12,
    9,
    12,
    15,
    9,
    6,
    12,
    15,
    15,
    12,
    15,
    6,
    12,
    3,
    3,
    6,
    6,
    9,
    6,
    9,
    9,
    12,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    9,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    15,
    9,
    6,
    12,
    9,
    12,
    9,
    15,
    6,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    15,
    9,
    12,
    12,
    15,
    12,
    15,
    15,
    12,
    9,
    12,
    12,
    9,
    12,
    15,
    15,
    12,
    12,
    9,
    15,
    6,
    15,
    12,
    6,
    3,
    6,
    9,
    9,
    12,
    9,
    12,
    12,
    15,
    9,
    12,
    12,
    15,
    6,
    9,
    9,
    6,
    9,
    12,
    12,
    15,
    12,
    15,
    15,
    6,
    12,
    9,
    15,
    12,
    9,
    6,
    12,
    3,
    9,
    12,
    12,
    15,
    12,
    15,
    9,
    12,
    12,
    15,
    15,
    6,
    9,
    12,
    6,
    3,
    6,
    9,
    9,
    6,
    9,
    12,
    6,
    3,
    9,
    6,
    12,
    3,
    6,
    3,
    3,
    0,
};

#endif