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tables.h
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/* Copyright (c) 2021, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * 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.
* * Neither the name of NVIDIA CORPORATION 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 ``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 OWNER 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.
*/
/*
Tables for Marching Cubes
http://local.wasp.uwa.edu.au/~pbourke/geometry/polygonise/
*/
// 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,
};