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745 lines (727 loc) · 52.5 KB
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//
// Created by davidxu on 22-8-8.
//
#ifndef GPU_POISSONRECON_MARCHINGCUBES_CUH
#define GPU_POISSONRECON_MARCHINGCUBES_CUH
class Cube{
public:
const static int CORNERS=8,EDGES=12,NEIGHBORS=6;
};
class MarchingCubes{
public:
const static int MAX_TRIANGLES=5;
/** given point key,
* return the related edge key */
static const int edgeMask[1<<Cube::CORNERS];
/** given point key,
* record all related edges which has interpolated triangle's vertex on */
static const int triangles[1<<Cube::CORNERS][3*MAX_TRIANGLES+1];
static const int trianglesCount[1<<Cube::CORNERS];
};
const int MarchingCubes::edgeMask[1<<Cube::CORNERS]={
0, 273, 545, 816, 2082, 2355, 2563, 2834,
1042, 1283, 1587, 1826, 3120, 3361, 3601, 3840,
324, 85, 869, 628, 2406, 2167, 2887, 2646,
1366, 1095, 1911, 1638, 3444, 3173, 3925, 3652,
644, 917, 165, 436, 2726, 2999, 2183, 2454,
1686, 1927, 1207, 1446, 3764, 4005, 3221, 3460,
960, 721, 481, 240, 3042, 2803, 2499, 2258,
2002, 1731, 1523, 1250, 4080, 3809, 3537, 3264,
2184, 2457, 2729, 3000, 170, 443, 651, 922,
3226, 3467, 3771, 4010, 1208, 1449, 1689, 1928,
2508, 2269, 3053, 2812, 494, 255, 975, 734,
3550, 3279, 4095, 3822, 1532, 1261, 2013, 1740,
2572, 2845, 2093, 2364, 558, 831, 15, 286,
3614, 3855, 3135, 3374, 1596, 1837, 1053, 1292,
2888, 2649, 2409, 2168, 874, 635, 331, 90,
3930, 3659, 3451, 3178, 1912, 1641, 1369, 1096,
1096, 1369, 1641, 1912, 3178, 3451, 3659, 3930,
90, 331, 635, 874, 2168, 2409, 2649, 2888,
1292, 1053, 1837, 1596, 3374, 3135, 3855, 3614,
286, 15, 831, 558, 2364, 2093, 2845, 2572,
1740, 2013, 1261, 1532, 3822, 4095, 3279, 3550,
734, 975, 255, 494, 2812, 3053, 2269, 2508,
1928, 1689, 1449, 1208, 4010, 3771, 3467, 3226,
922, 651, 443, 170, 3000, 2729, 2457, 2184,
3264, 3537, 3809, 4080, 1250, 1523, 1731, 2002,
2258, 2499, 2803, 3042, 240, 481, 721, 960,
3460, 3221, 4005, 3764, 1446, 1207, 1927, 1686,
2454, 2183, 2999, 2726, 436, 165, 917, 644,
3652, 3925, 3173, 3444, 1638, 1911, 1095, 1366,
2646, 2887, 2167, 2406, 628, 869, 85, 324,
3840, 3601, 3361, 3120, 1826, 1587, 1283, 1042,
2834, 2563, 2355, 2082, 816, 545, 273, 0
};
const int MarchingCubes::triangles[1<<Cube::CORNERS][MAX_TRIANGLES*3+1] = {
{ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 5, 8, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 1, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 11, 1, 9, 1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 11, 8, 11, 1, 8, 1, 4, -1, -1, -1, -1, -1, -1, -1},
{ 4, 1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 0, 10, 0, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 4, 1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 9, 10, 9, 5, 10, 5, 1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 4, 11, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 8, 11, 8, 0, 11, 0, 5, -1, -1, -1, -1, -1, -1, -1},
{ 9, 11, 10, 9, 10, 4, 9, 4, 0, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 11, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 2, 0, 4, 6, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 2, 8, 5, 0, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 4, 6, 9, 5, 6, 2, 9, 6, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, 8, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, 6, 2, 0, 4, 6, 0, -1, -1, -1, -1, -1, -1, -1},
{ 6, 2, 8, 9, 11, 1, 9, 1, 0, -1, -1, -1, -1, -1, -1, -1},
{ 9, 11, 2, 2, 11, 1, 2, 1, 6, 6, 1, 4, -1, -1, -1, -1},
{ 1, 10, 4, 2, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 2, 0, 1, 6, 2, 1, 10, 6, 1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 4, 1, 10, 8, 6, 2, -1, -1, -1, -1, -1, -1, -1},
{ 5, 2, 9, 5, 6, 2, 5, 1, 6, 1, 10, 6, -1, -1, -1, -1},
{ 2, 8, 6, 4, 5, 11, 4, 11, 10, -1, -1, -1, -1, -1, -1, -1},
{ 5, 2, 0, 6, 2, 5, 11, 6, 5, 10, 6, 11, -1, -1, -1, -1},
{ 9, 11, 10, 9, 10, 4, 9, 4, 0, 8, 6, 2, -1, -1, -1, -1},
{ 9, 11, 2, 2, 11, 6, 10, 6, 11, -1, -1, -1, -1, -1, -1, -1},
{ 9, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 2, 4, 8, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 2, 7, 0, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 5, 4, 2, 7, 4, 8, 2, 4, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 2, 5, 11, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, 0, 4, 8, 9, 2, 7, -1, -1, -1, -1, -1, -1, -1},
{ 1, 0, 2, 1, 2, 7, 1, 7, 11, -1, -1, -1, -1, -1, -1, -1},
{ 1, 7, 11, 1, 2, 7, 1, 4, 2, 4, 8, 2, -1, -1, -1, -1},
{ 4, 1, 10, 9, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 2, 0, 1, 10, 0, 10, 8, -1, -1, -1, -1, -1, -1, -1},
{ 4, 1, 10, 2, 7, 5, 0, 2, 5, -1, -1, -1, -1, -1, -1, -1},
{ 2, 10, 8, 1, 10, 2, 7, 1, 2, 5, 1, 7, -1, -1, -1, -1},
{ 7, 9, 2, 10, 4, 5, 11, 10, 5, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 8, 11, 8, 0, 11, 0, 5, 9, 2, 7, -1, -1, -1, -1},
{ 11, 10, 7, 7, 10, 4, 7, 4, 2, 2, 4, 0, -1, -1, -1, -1},
{ 11, 10, 7, 7, 10, 2, 8, 2, 10, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 8, 6, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 6, 7, 0, 4, 7, 9, 0, 7, -1, -1, -1, -1, -1, -1, -1},
{ 6, 7, 5, 8, 6, 5, 0, 8, 5, -1, -1, -1, -1, -1, -1, -1},
{ 4, 6, 7, 5, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 11, 1, 8, 6, 7, 9, 8, 7, -1, -1, -1, -1, -1, -1, -1},
{ 4, 6, 7, 0, 4, 7, 9, 0, 7, 11, 1, 5, -1, -1, -1, -1},
{ 8, 1, 0, 11, 1, 8, 6, 11, 8, 7, 11, 6, -1, -1, -1, -1},
{ 11, 6, 7, 1, 6, 11, 6, 1, 4, -1, -1, -1, -1, -1, -1, -1},
{ 1, 10, 4, 6, 7, 9, 6, 9, 8, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 9, 9, 1, 10, 9, 10, 7, 7, 10, 6, -1, -1, -1, -1},
{ 6, 7, 5, 8, 6, 5, 0, 8, 5, 1, 10, 4, -1, -1, -1, -1},
{ 1, 7, 5, 10, 7, 1, 7, 10, 6, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 4, 11, 4, 5, 7, 9, 8, 6, 7, 8, -1, -1, -1, -1},
{ 0, 6, 9, 9, 6, 7, 6, 0, 5, 5, 11, 10, 5, 10, 6, -1},
{ 8, 7, 0, 6, 7, 8, 4, 0, 7, 11, 10, 4, 7, 11, 4, -1},
{ 11, 10, 6, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 11, 7, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 5, 0, 11, 7, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 4, 8, 9, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 5, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 7, 3, 1, 5, 7, 1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 0, 3, 0, 9, 3, 9, 7, -1, -1, -1, -1, -1, -1, -1},
{ 7, 8, 9, 4, 8, 7, 3, 4, 7, 1, 4, 3, -1, -1, -1, -1},
{ 1, 10, 4, 3, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 11, 7, 8, 0, 1, 10, 8, 1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 1, 10, 5, 0, 9, 11, 7, 3, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 9, 10, 9, 5, 10, 5, 1, 11, 7, 3, -1, -1, -1, -1},
{ 4, 5, 7, 4, 7, 3, 4, 3, 10, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 3, 3, 8, 0, 3, 0, 7, 7, 0, 5, -1, -1, -1, -1},
{ 4, 3, 10, 4, 7, 3, 4, 0, 7, 0, 9, 7, -1, -1, -1, -1},
{ 10, 8, 3, 3, 8, 7, 9, 7, 8, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 8, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 2, 0, 4, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 8, 6, 2, 5, 0, 9, -1, -1, -1, -1, -1, -1, -1},
{ 5, 4, 6, 9, 5, 6, 2, 9, 6, 3, 11, 7, -1, -1, -1, -1},
{ 8, 6, 2, 3, 1, 5, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 5, 3, 5, 7, 6, 2, 0, 4, 6, 0, -1, -1, -1, -1},
{ 3, 1, 0, 3, 0, 9, 3, 9, 7, 2, 8, 6, -1, -1, -1, -1},
{ 9, 4, 2, 2, 4, 6, 4, 9, 7, 7, 3, 1, 7, 1, 4, -1},
{ 8, 6, 2, 11, 7, 3, 4, 1, 10, -1, -1, -1, -1, -1, -1, -1},
{ 2, 0, 1, 6, 2, 1, 10, 6, 1, 11, 7, 3, -1, -1, -1, -1},
{ 5, 0, 9, 4, 1, 10, 8, 6, 2, 11, 7, 3, -1, -1, -1, -1},
{ 11, 7, 3, 5, 2, 9, 5, 6, 2, 5, 1, 6, 1, 10, 6, -1},
{ 4, 5, 7, 4, 7, 3, 4, 3, 10, 6, 2, 8, -1, -1, -1, -1},
{ 10, 5, 3, 3, 5, 7, 5, 10, 6, 6, 2, 0, 6, 0, 5, -1},
{ 8, 6, 2, 4, 3, 10, 4, 7, 3, 4, 0, 7, 0, 9, 7, -1},
{ 9, 7, 10, 10, 7, 3, 10, 6, 9, 6, 2, 9, -1, -1, -1, -1},
{ 3, 11, 9, 2, 3, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 8, 0, 2, 3, 11, 2, 11, 9, -1, -1, -1, -1, -1, -1, -1},
{ 0, 2, 3, 0, 3, 11, 0, 11, 5, -1, -1, -1, -1, -1, -1, -1},
{ 2, 3, 8, 8, 3, 11, 8, 11, 4, 4, 11, 5, -1, -1, -1, -1},
{ 2, 3, 1, 2, 1, 5, 2, 5, 9, -1, -1, -1, -1, -1, -1, -1},
{ 2, 3, 1, 2, 1, 5, 2, 5, 9, 0, 4, 8, -1, -1, -1, -1},
{ 0, 2, 3, 0, 3, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 2, 3, 8, 8, 3, 4, 1, 4, 3, -1, -1, -1, -1, -1, -1, -1},
{ 1, 10, 4, 9, 2, 3, 11, 9, 3, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 0, 10, 0, 1, 3, 11, 9, 2, 3, 9, -1, -1, -1, -1},
{ 0, 2, 3, 0, 3, 11, 0, 11, 5, 1, 10, 4, -1, -1, -1, -1},
{ 5, 2, 11, 11, 2, 3, 2, 5, 1, 1, 10, 8, 1, 8, 2, -1},
{ 10, 2, 3, 9, 2, 10, 4, 9, 10, 5, 9, 4, -1, -1, -1, -1},
{ 5, 10, 0, 0, 10, 8, 10, 5, 9, 9, 2, 3, 9, 3, 10, -1},
{ 0, 2, 4, 4, 2, 10, 3, 10, 2, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 2, 10, 2, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 9, 8, 3, 11, 8, 6, 3, 8, -1, -1, -1, -1, -1, -1, -1},
{ 0, 11, 9, 3, 11, 0, 4, 3, 0, 6, 3, 4, -1, -1, -1, -1},
{ 11, 5, 3, 5, 0, 3, 0, 6, 3, 0, 8, 6, -1, -1, -1, -1},
{ 3, 4, 6, 11, 4, 3, 4, 11, 5, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 6, 6, 1, 5, 6, 5, 8, 8, 5, 9, -1, -1, -1, -1},
{ 0, 6, 9, 4, 6, 0, 5, 9, 6, 3, 1, 5, 6, 3, 5, -1},
{ 3, 1, 6, 6, 1, 8, 0, 8, 1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 4, 3, 4, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 9, 8, 3, 11, 8, 6, 3, 8, 4, 1, 10, -1, -1, -1, -1},
{ 3, 9, 6, 11, 9, 3, 10, 6, 9, 0, 1, 10, 9, 0, 10, -1},
{ 4, 1, 10, 11, 5, 3, 5, 0, 3, 0, 6, 3, 0, 8, 6, -1},
{ 5, 10, 6, 1, 10, 5, 6, 11, 5, 6, 3, 11, -1, -1, -1, -1},
{ 10, 5, 3, 4, 5, 10, 6, 3, 5, 9, 8, 6, 5, 9, 6, -1},
{ 6, 3, 10, 9, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 10, 0, 0, 10, 4, 0, 8, 3, 8, 6, 3, -1, -1, -1, -1},
{ 6, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 6, 10, 0, 4, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 10, 3, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 6, 10, 8, 9, 5, 8, 5, 4, -1, -1, -1, -1, -1, -1, -1},
{ 11, 1, 5, 10, 3, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 1, 5, 11, 10, 3, 6, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 0, 9, 11, 1, 0, 11, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 11, 8, 11, 1, 8, 1, 4, 10, 3, 6, -1, -1, -1, -1},
{ 4, 1, 3, 6, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 3, 8, 0, 3, 6, 8, 3, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 3, 6, 4, 1, 3, 4, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 6, 6, 9, 5, 6, 5, 3, 3, 5, 1, -1, -1, -1, -1},
{ 6, 4, 5, 6, 5, 11, 6, 11, 3, -1, -1, -1, -1, -1, -1, -1},
{ 0, 6, 8, 0, 3, 6, 0, 5, 3, 5, 11, 3, -1, -1, -1, -1},
{ 3, 9, 11, 0, 9, 3, 6, 0, 3, 4, 0, 6, -1, -1, -1, -1},
{ 8, 9, 6, 6, 9, 3, 11, 3, 9, -1, -1, -1, -1, -1, -1, -1},
{ 2, 8, 10, 3, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 2, 0, 10, 3, 0, 4, 10, 0, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 8, 10, 3, 8, 3, 2, -1, -1, -1, -1, -1, -1, -1},
{ 9, 3, 2, 10, 3, 9, 5, 10, 9, 4, 10, 5, -1, -1, -1, -1},
{ 11, 1, 5, 2, 8, 10, 3, 2, 10, -1, -1, -1, -1, -1, -1, -1},
{ 3, 2, 0, 10, 3, 0, 4, 10, 0, 5, 11, 1, -1, -1, -1, -1},
{ 9, 11, 1, 9, 1, 0, 2, 8, 10, 3, 2, 10, -1, -1, -1, -1},
{ 10, 2, 4, 3, 2, 10, 1, 4, 2, 9, 11, 1, 2, 9, 1, -1},
{ 1, 3, 2, 4, 1, 2, 8, 4, 2, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 3, 2, 0, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 3, 2, 4, 1, 2, 8, 4, 2, 9, 5, 0, -1, -1, -1, -1},
{ 9, 3, 2, 5, 3, 9, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 2, 11, 11, 2, 8, 11, 8, 5, 5, 8, 4, -1, -1, -1, -1},
{ 5, 2, 0, 11, 2, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1},
{ 4, 3, 8, 8, 3, 2, 3, 4, 0, 0, 9, 11, 0, 11, 3, -1},
{ 9, 11, 3, 9, 3, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 9, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 2, 7, 10, 3, 6, 0, 4, 8, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 7, 5, 0, 7, 0, 2, -1, -1, -1, -1, -1, -1, -1},
{ 7, 5, 4, 2, 7, 4, 8, 2, 4, 10, 3, 6, -1, -1, -1, -1},
{ 10, 3, 6, 9, 2, 7, 1, 5, 11, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 9, 2, 7, 1, 5, 11, 0, 4, 8, -1, -1, -1, -1},
{ 1, 0, 2, 1, 2, 7, 1, 7, 11, 3, 6, 10, -1, -1, -1, -1},
{ 10, 3, 6, 1, 7, 11, 1, 2, 7, 1, 4, 2, 4, 8, 2, -1},
{ 9, 2, 7, 6, 4, 1, 6, 1, 3, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 3, 8, 0, 3, 6, 8, 3, 7, 9, 2, -1, -1, -1, -1},
{ 0, 2, 7, 0, 7, 5, 4, 1, 3, 6, 4, 3, -1, -1, -1, -1},
{ 2, 5, 8, 7, 5, 2, 6, 8, 5, 1, 3, 6, 5, 1, 6, -1},
{ 6, 4, 5, 6, 5, 11, 6, 11, 3, 7, 9, 2, -1, -1, -1, -1},
{ 9, 2, 7, 0, 6, 8, 0, 3, 6, 0, 5, 3, 5, 11, 3, -1},
{ 3, 4, 11, 6, 4, 3, 7, 11, 4, 0, 2, 7, 4, 0, 7, -1},
{ 11, 3, 8, 8, 3, 6, 8, 2, 11, 2, 7, 11, -1, -1, -1, -1},
{ 9, 8, 10, 7, 9, 10, 3, 7, 10, -1, -1, -1, -1, -1, -1, -1},
{ 9, 0, 7, 0, 4, 7, 4, 3, 7, 4, 10, 3, -1, -1, -1, -1},
{ 8, 10, 0, 0, 10, 3, 0, 3, 5, 5, 3, 7, -1, -1, -1, -1},
{ 10, 5, 4, 3, 5, 10, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1},
{ 9, 8, 10, 7, 9, 10, 3, 7, 10, 1, 5, 11, -1, -1, -1, -1},
{ 1, 5, 11, 9, 0, 7, 0, 4, 7, 4, 3, 7, 4, 10, 3, -1},
{ 11, 0, 7, 1, 0, 11, 3, 7, 0, 8, 10, 3, 0, 8, 3, -1},
{ 7, 1, 4, 11, 1, 7, 4, 3, 7, 4, 10, 3, -1, -1, -1, -1},
{ 4, 9, 8, 7, 9, 4, 1, 7, 4, 3, 7, 1, -1, -1, -1, -1},
{ 7, 1, 3, 9, 1, 7, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1},
{ 8, 7, 0, 0, 7, 5, 7, 8, 4, 4, 1, 3, 4, 3, 7, -1},
{ 5, 1, 3, 7, 5, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 4, 11, 11, 4, 5, 4, 3, 7, 7, 9, 8, 7, 8, 4, -1},
{ 3, 9, 0, 7, 9, 3, 0, 11, 3, 0, 5, 11, -1, -1, -1, -1},
{ 3, 7, 11, 8, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 7, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 10, 11, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 10, 11, 7, 10, 7, 6, -1, -1, -1, -1, -1, -1, -1},
{ 9, 5, 0, 6, 10, 11, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 5, 8, 5, 4, 6, 10, 11, 7, 6, 11, -1, -1, -1, -1},
{ 5, 7, 6, 5, 6, 10, 5, 10, 1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 7, 6, 5, 6, 10, 5, 10, 1, 4, 8, 0, -1, -1, -1, -1},
{ 1, 0, 10, 10, 0, 9, 10, 9, 6, 6, 9, 7, -1, -1, -1, -1},
{ 1, 7, 10, 10, 7, 6, 7, 1, 4, 4, 8, 9, 4, 9, 7, -1},
{ 7, 6, 4, 7, 4, 1, 7, 1, 11, -1, -1, -1, -1, -1, -1, -1},
{ 11, 0, 1, 8, 0, 11, 7, 8, 11, 6, 8, 7, -1, -1, -1, -1},
{ 7, 6, 4, 7, 4, 1, 7, 1, 11, 5, 0, 9, -1, -1, -1, -1},
{ 11, 6, 1, 7, 6, 11, 5, 1, 6, 8, 9, 5, 6, 8, 5, -1},
{ 4, 5, 7, 4, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 7, 0, 0, 7, 8, 6, 8, 7, -1, -1, -1, -1, -1, -1, -1},
{ 7, 6, 9, 9, 6, 0, 4, 0, 6, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 7, 8, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 10, 11, 2, 8, 11, 7, 2, 11, -1, -1, -1, -1, -1, -1, -1},
{ 10, 11, 4, 4, 11, 7, 4, 7, 0, 0, 7, 2, -1, -1, -1, -1},
{ 8, 10, 11, 2, 8, 11, 7, 2, 11, 5, 0, 9, -1, -1, -1, -1},
{ 9, 4, 2, 5, 4, 9, 7, 2, 4, 10, 11, 7, 4, 10, 7, -1},
{ 1, 8, 10, 2, 8, 1, 5, 2, 1, 7, 2, 5, -1, -1, -1, -1},
{ 1, 7, 10, 5, 7, 1, 4, 10, 7, 2, 0, 4, 7, 2, 4, -1},
{ 7, 1, 9, 9, 1, 0, 1, 7, 2, 2, 8, 10, 2, 10, 1, -1},
{ 7, 2, 9, 10, 1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 4, 2, 4, 1, 2, 1, 7, 2, 1, 11, 7, -1, -1, -1, -1},
{ 11, 0, 1, 7, 0, 11, 0, 7, 2, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 8, 4, 2, 4, 1, 2, 1, 7, 2, 1, 11, 7, -1},
{ 2, 5, 1, 9, 5, 2, 1, 7, 2, 1, 11, 7, -1, -1, -1, -1},
{ 4, 5, 8, 8, 5, 2, 7, 2, 5, -1, -1, -1, -1, -1, -1, -1},
{ 7, 2, 0, 5, 7, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 2, 4, 4, 2, 8, 4, 0, 7, 0, 9, 7, -1, -1, -1, -1},
{ 7, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 11, 9, 6, 10, 9, 2, 6, 9, -1, -1, -1, -1, -1, -1, -1},
{ 10, 11, 9, 6, 10, 9, 2, 6, 9, 0, 4, 8, -1, -1, -1, -1},
{ 5, 10, 11, 6, 10, 5, 0, 6, 5, 2, 6, 0, -1, -1, -1, -1},
{ 2, 5, 8, 8, 5, 4, 5, 2, 6, 6, 10, 11, 6, 11, 5, -1},
{ 10, 1, 6, 1, 5, 6, 5, 2, 6, 5, 9, 2, -1, -1, -1, -1},
{ 0, 4, 8, 10, 1, 6, 1, 5, 6, 5, 2, 6, 5, 9, 2, -1},
{ 1, 0, 10, 10, 0, 6, 2, 6, 0, -1, -1, -1, -1, -1, -1, -1},
{ 2, 6, 1, 1, 6, 10, 1, 4, 2, 4, 8, 2, -1, -1, -1, -1},
{ 11, 9, 1, 1, 9, 2, 1, 2, 4, 4, 2, 6, -1, -1, -1, -1},
{ 8, 1, 6, 0, 1, 8, 2, 6, 1, 11, 9, 2, 1, 11, 2, -1},
{ 11, 6, 1, 1, 6, 4, 6, 11, 5, 5, 0, 2, 5, 2, 6, -1},
{ 2, 6, 8, 11, 5, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 4, 2, 2, 4, 9, 5, 9, 4, -1, -1, -1, -1, -1, -1, -1},
{ 5, 9, 6, 6, 9, 2, 6, 8, 5, 8, 0, 5, -1, -1, -1, -1},
{ 0, 2, 6, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 2, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 10, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 11, 9, 4, 11, 0, 11, 4, 10, -1, -1, -1, -1, -1, -1, -1},
{ 5, 10, 11, 0, 10, 5, 10, 0, 8, -1, -1, -1, -1, -1, -1, -1},
{ 4, 10, 11, 5, 4, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 8, 10, 5, 8, 1, 8, 5, 9, -1, -1, -1, -1, -1, -1, -1},
{ 9, 4, 10, 0, 4, 9, 10, 5, 9, 10, 1, 5, -1, -1, -1, -1},
{ 0, 8, 10, 1, 0, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 9, 8, 1, 9, 4, 9, 1, 11, -1, -1, -1, -1, -1, -1, -1},
{ 1, 11, 9, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 0, 8, 5, 0, 11, 8, 1, 11, 8, 4, 1, -1, -1, -1, -1},
{ 11, 5, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 9, 8, 4, 5, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}
};
const int MarchingCubes::trianglesCount[1<<Cube::CORNERS] = {
0,1,1,2,1,2,2,
3,1,2,2,3,2,3,
3,2,1,2,2,3,2,
3,3,4,2,3,3,4,
3,4,4,3,1,2,2,
3,2,3,3,4,2,3,
3,4,3,4,4,3,2,
3,3,2,3,4,4,3,
3,4,4,3,4,5,5,
2,1,2,2,3,2,3,
3,4,2,3,3,4,3,
4,4,3,2,3,3,4,
3,4,4,5,3,4,4,
5,4,5,5,4,2,3,
3,4,3,4,2,3,3,
4,4,5,4,5,3,2,
3,4,4,3,4,5,3,
2,4,5,5,4,5,2,
4,1,1,2,2,3,2,
3,3,4,2,3,3,4,
3,4,4,3,2,3,3,
4,3,4,4,5,3,2,
4,3,4,3,5,2,2,
3,3,4,3,4,4,5,
3,4,4,5,4,5,5,
4,3,4,4,3,4,5,
5,4,4,3,5,2,5,
4,2,1,2,3,3,4,
3,4,4,5,3,4,4,
5,2,3,3,2,3,4,
4,5,4,5,5,2,4,
3,5,4,3,2,4,1,
3,4,4,5,4,5,3,
4,4,5,5,2,3,4,
2,1,2,3,3,2,3,
4,2,1,3,2,4,1,
2,1,1,0
};
__constant__ int edgeMask[1<<Cube::CORNERS]={
0, 273, 545, 816, 2082, 2355, 2563, 2834,
1042, 1283, 1587, 1826, 3120, 3361, 3601, 3840,
324, 85, 869, 628, 2406, 2167, 2887, 2646,
1366, 1095, 1911, 1638, 3444, 3173, 3925, 3652,
644, 917, 165, 436, 2726, 2999, 2183, 2454,
1686, 1927, 1207, 1446, 3764, 4005, 3221, 3460,
960, 721, 481, 240, 3042, 2803, 2499, 2258,
2002, 1731, 1523, 1250, 4080, 3809, 3537, 3264,
2184, 2457, 2729, 3000, 170, 443, 651, 922,
3226, 3467, 3771, 4010, 1208, 1449, 1689, 1928,
2508, 2269, 3053, 2812, 494, 255, 975, 734,
3550, 3279, 4095, 3822, 1532, 1261, 2013, 1740,
2572, 2845, 2093, 2364, 558, 831, 15, 286,
3614, 3855, 3135, 3374, 1596, 1837, 1053, 1292,
2888, 2649, 2409, 2168, 874, 635, 331, 90,
3930, 3659, 3451, 3178, 1912, 1641, 1369, 1096,
1096, 1369, 1641, 1912, 3178, 3451, 3659, 3930,
90, 331, 635, 874, 2168, 2409, 2649, 2888,
1292, 1053, 1837, 1596, 3374, 3135, 3855, 3614,
286, 15, 831, 558, 2364, 2093, 2845, 2572,
1740, 2013, 1261, 1532, 3822, 4095, 3279, 3550,
734, 975, 255, 494, 2812, 3053, 2269, 2508,
1928, 1689, 1449, 1208, 4010, 3771, 3467, 3226,
922, 651, 443, 170, 3000, 2729, 2457, 2184,
3264, 3537, 3809, 4080, 1250, 1523, 1731, 2002,
2258, 2499, 2803, 3042, 240, 481, 721, 960,
3460, 3221, 4005, 3764, 1446, 1207, 1927, 1686,
2454, 2183, 2999, 2726, 436, 165, 917, 644,
3652, 3925, 3173, 3444, 1638, 1911, 1095, 1366,
2646, 2887, 2167, 2406, 628, 869, 85, 324,
3840, 3601, 3361, 3120, 1826, 1587, 1283, 1042,
2834, 2563, 2355, 2082, 816, 545, 273, 0
};
__constant__ int triangles[1<<Cube::CORNERS][5*3+1] = {
{ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 5, 8, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 1, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 11, 1, 9, 1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 11, 8, 11, 1, 8, 1, 4, -1, -1, -1, -1, -1, -1, -1},
{ 4, 1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 0, 10, 0, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 4, 1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 9, 10, 9, 5, 10, 5, 1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 4, 11, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 8, 11, 8, 0, 11, 0, 5, -1, -1, -1, -1, -1, -1, -1},
{ 9, 11, 10, 9, 10, 4, 9, 4, 0, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 11, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 2, 0, 4, 6, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 2, 8, 5, 0, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 4, 6, 9, 5, 6, 2, 9, 6, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, 8, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, 6, 2, 0, 4, 6, 0, -1, -1, -1, -1, -1, -1, -1},
{ 6, 2, 8, 9, 11, 1, 9, 1, 0, -1, -1, -1, -1, -1, -1, -1},
{ 9, 11, 2, 2, 11, 1, 2, 1, 6, 6, 1, 4, -1, -1, -1, -1},
{ 1, 10, 4, 2, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 2, 0, 1, 6, 2, 1, 10, 6, 1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 4, 1, 10, 8, 6, 2, -1, -1, -1, -1, -1, -1, -1},
{ 5, 2, 9, 5, 6, 2, 5, 1, 6, 1, 10, 6, -1, -1, -1, -1},
{ 2, 8, 6, 4, 5, 11, 4, 11, 10, -1, -1, -1, -1, -1, -1, -1},
{ 5, 2, 0, 6, 2, 5, 11, 6, 5, 10, 6, 11, -1, -1, -1, -1},
{ 9, 11, 10, 9, 10, 4, 9, 4, 0, 8, 6, 2, -1, -1, -1, -1},
{ 9, 11, 2, 2, 11, 6, 10, 6, 11, -1, -1, -1, -1, -1, -1, -1},
{ 9, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 2, 4, 8, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 2, 7, 0, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 5, 4, 2, 7, 4, 8, 2, 4, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 2, 5, 11, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 5, 11, 0, 4, 8, 9, 2, 7, -1, -1, -1, -1, -1, -1, -1},
{ 1, 0, 2, 1, 2, 7, 1, 7, 11, -1, -1, -1, -1, -1, -1, -1},
{ 1, 7, 11, 1, 2, 7, 1, 4, 2, 4, 8, 2, -1, -1, -1, -1},
{ 4, 1, 10, 9, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 2, 0, 1, 10, 0, 10, 8, -1, -1, -1, -1, -1, -1, -1},
{ 4, 1, 10, 2, 7, 5, 0, 2, 5, -1, -1, -1, -1, -1, -1, -1},
{ 2, 10, 8, 1, 10, 2, 7, 1, 2, 5, 1, 7, -1, -1, -1, -1},
{ 7, 9, 2, 10, 4, 5, 11, 10, 5, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 8, 11, 8, 0, 11, 0, 5, 9, 2, 7, -1, -1, -1, -1},
{ 11, 10, 7, 7, 10, 4, 7, 4, 2, 2, 4, 0, -1, -1, -1, -1},
{ 11, 10, 7, 7, 10, 2, 8, 2, 10, -1, -1, -1, -1, -1, -1, -1},
{ 7, 9, 8, 6, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 6, 7, 0, 4, 7, 9, 0, 7, -1, -1, -1, -1, -1, -1, -1},
{ 6, 7, 5, 8, 6, 5, 0, 8, 5, -1, -1, -1, -1, -1, -1, -1},
{ 4, 6, 7, 5, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 11, 1, 8, 6, 7, 9, 8, 7, -1, -1, -1, -1, -1, -1, -1},
{ 4, 6, 7, 0, 4, 7, 9, 0, 7, 11, 1, 5, -1, -1, -1, -1},
{ 8, 1, 0, 11, 1, 8, 6, 11, 8, 7, 11, 6, -1, -1, -1, -1},
{ 11, 6, 7, 1, 6, 11, 6, 1, 4, -1, -1, -1, -1, -1, -1, -1},
{ 1, 10, 4, 6, 7, 9, 6, 9, 8, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 9, 9, 1, 10, 9, 10, 7, 7, 10, 6, -1, -1, -1, -1},
{ 6, 7, 5, 8, 6, 5, 0, 8, 5, 1, 10, 4, -1, -1, -1, -1},
{ 1, 7, 5, 10, 7, 1, 7, 10, 6, -1, -1, -1, -1, -1, -1, -1},
{ 11, 10, 4, 11, 4, 5, 7, 9, 8, 6, 7, 8, -1, -1, -1, -1},
{ 0, 6, 9, 9, 6, 7, 6, 0, 5, 5, 11, 10, 5, 10, 6, -1},
{ 8, 7, 0, 6, 7, 8, 4, 0, 7, 11, 10, 4, 7, 11, 4, -1},
{ 11, 10, 6, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 11, 7, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 5, 0, 11, 7, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 4, 8, 9, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 5, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 7, 3, 1, 5, 7, 1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 0, 3, 0, 9, 3, 9, 7, -1, -1, -1, -1, -1, -1, -1},
{ 7, 8, 9, 4, 8, 7, 3, 4, 7, 1, 4, 3, -1, -1, -1, -1},
{ 1, 10, 4, 3, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 11, 7, 8, 0, 1, 10, 8, 1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 1, 10, 5, 0, 9, 11, 7, 3, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 9, 10, 9, 5, 10, 5, 1, 11, 7, 3, -1, -1, -1, -1},
{ 4, 5, 7, 4, 7, 3, 4, 3, 10, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 3, 3, 8, 0, 3, 0, 7, 7, 0, 5, -1, -1, -1, -1},
{ 4, 3, 10, 4, 7, 3, 4, 0, 7, 0, 9, 7, -1, -1, -1, -1},
{ 10, 8, 3, 3, 8, 7, 9, 7, 8, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 8, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 2, 0, 4, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1},
{ 11, 7, 3, 8, 6, 2, 5, 0, 9, -1, -1, -1, -1, -1, -1, -1},
{ 5, 4, 6, 9, 5, 6, 2, 9, 6, 3, 11, 7, -1, -1, -1, -1},
{ 8, 6, 2, 3, 1, 5, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 5, 3, 5, 7, 6, 2, 0, 4, 6, 0, -1, -1, -1, -1},
{ 3, 1, 0, 3, 0, 9, 3, 9, 7, 2, 8, 6, -1, -1, -1, -1},
{ 9, 4, 2, 2, 4, 6, 4, 9, 7, 7, 3, 1, 7, 1, 4, -1},
{ 8, 6, 2, 11, 7, 3, 4, 1, 10, -1, -1, -1, -1, -1, -1, -1},
{ 2, 0, 1, 6, 2, 1, 10, 6, 1, 11, 7, 3, -1, -1, -1, -1},
{ 5, 0, 9, 4, 1, 10, 8, 6, 2, 11, 7, 3, -1, -1, -1, -1},
{ 11, 7, 3, 5, 2, 9, 5, 6, 2, 5, 1, 6, 1, 10, 6, -1},
{ 4, 5, 7, 4, 7, 3, 4, 3, 10, 6, 2, 8, -1, -1, -1, -1},
{ 10, 5, 3, 3, 5, 7, 5, 10, 6, 6, 2, 0, 6, 0, 5, -1},
{ 8, 6, 2, 4, 3, 10, 4, 7, 3, 4, 0, 7, 0, 9, 7, -1},
{ 9, 7, 10, 10, 7, 3, 10, 6, 9, 6, 2, 9, -1, -1, -1, -1},
{ 3, 11, 9, 2, 3, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 8, 0, 2, 3, 11, 2, 11, 9, -1, -1, -1, -1, -1, -1, -1},
{ 0, 2, 3, 0, 3, 11, 0, 11, 5, -1, -1, -1, -1, -1, -1, -1},
{ 2, 3, 8, 8, 3, 11, 8, 11, 4, 4, 11, 5, -1, -1, -1, -1},
{ 2, 3, 1, 2, 1, 5, 2, 5, 9, -1, -1, -1, -1, -1, -1, -1},
{ 2, 3, 1, 2, 1, 5, 2, 5, 9, 0, 4, 8, -1, -1, -1, -1},
{ 0, 2, 3, 0, 3, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 2, 3, 8, 8, 3, 4, 1, 4, 3, -1, -1, -1, -1, -1, -1, -1},
{ 1, 10, 4, 9, 2, 3, 11, 9, 3, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 0, 10, 0, 1, 3, 11, 9, 2, 3, 9, -1, -1, -1, -1},
{ 0, 2, 3, 0, 3, 11, 0, 11, 5, 1, 10, 4, -1, -1, -1, -1},
{ 5, 2, 11, 11, 2, 3, 2, 5, 1, 1, 10, 8, 1, 8, 2, -1},
{ 10, 2, 3, 9, 2, 10, 4, 9, 10, 5, 9, 4, -1, -1, -1, -1},
{ 5, 10, 0, 0, 10, 8, 10, 5, 9, 9, 2, 3, 9, 3, 10, -1},
{ 0, 2, 4, 4, 2, 10, 3, 10, 2, -1, -1, -1, -1, -1, -1, -1},
{ 10, 8, 2, 10, 2, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 9, 8, 3, 11, 8, 6, 3, 8, -1, -1, -1, -1, -1, -1, -1},
{ 0, 11, 9, 3, 11, 0, 4, 3, 0, 6, 3, 4, -1, -1, -1, -1},
{ 11, 5, 3, 5, 0, 3, 0, 6, 3, 0, 8, 6, -1, -1, -1, -1},
{ 3, 4, 6, 11, 4, 3, 4, 11, 5, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 6, 6, 1, 5, 6, 5, 8, 8, 5, 9, -1, -1, -1, -1},
{ 0, 6, 9, 4, 6, 0, 5, 9, 6, 3, 1, 5, 6, 3, 5, -1},
{ 3, 1, 6, 6, 1, 8, 0, 8, 1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 1, 4, 3, 4, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 9, 8, 3, 11, 8, 6, 3, 8, 4, 1, 10, -1, -1, -1, -1},
{ 3, 9, 6, 11, 9, 3, 10, 6, 9, 0, 1, 10, 9, 0, 10, -1},
{ 4, 1, 10, 11, 5, 3, 5, 0, 3, 0, 6, 3, 0, 8, 6, -1},
{ 5, 10, 6, 1, 10, 5, 6, 11, 5, 6, 3, 11, -1, -1, -1, -1},
{ 10, 5, 3, 4, 5, 10, 6, 3, 5, 9, 8, 6, 5, 9, 6, -1},
{ 6, 3, 10, 9, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 10, 0, 0, 10, 4, 0, 8, 3, 8, 6, 3, -1, -1, -1, -1},
{ 6, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 6, 10, 0, 4, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 10, 3, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 6, 10, 8, 9, 5, 8, 5, 4, -1, -1, -1, -1, -1, -1, -1},
{ 11, 1, 5, 10, 3, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 1, 5, 11, 10, 3, 6, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 0, 9, 11, 1, 0, 11, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 11, 8, 11, 1, 8, 1, 4, 10, 3, 6, -1, -1, -1, -1},
{ 4, 1, 3, 6, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 3, 8, 0, 3, 6, 8, 3, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 3, 6, 4, 1, 3, 4, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 6, 6, 9, 5, 6, 5, 3, 3, 5, 1, -1, -1, -1, -1},
{ 6, 4, 5, 6, 5, 11, 6, 11, 3, -1, -1, -1, -1, -1, -1, -1},
{ 0, 6, 8, 0, 3, 6, 0, 5, 3, 5, 11, 3, -1, -1, -1, -1},
{ 3, 9, 11, 0, 9, 3, 6, 0, 3, 4, 0, 6, -1, -1, -1, -1},
{ 8, 9, 6, 6, 9, 3, 11, 3, 9, -1, -1, -1, -1, -1, -1, -1},
{ 2, 8, 10, 3, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 2, 0, 10, 3, 0, 4, 10, 0, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 8, 10, 3, 8, 3, 2, -1, -1, -1, -1, -1, -1, -1},
{ 9, 3, 2, 10, 3, 9, 5, 10, 9, 4, 10, 5, -1, -1, -1, -1},
{ 11, 1, 5, 2, 8, 10, 3, 2, 10, -1, -1, -1, -1, -1, -1, -1},
{ 3, 2, 0, 10, 3, 0, 4, 10, 0, 5, 11, 1, -1, -1, -1, -1},
{ 9, 11, 1, 9, 1, 0, 2, 8, 10, 3, 2, 10, -1, -1, -1, -1},
{ 10, 2, 4, 3, 2, 10, 1, 4, 2, 9, 11, 1, 2, 9, 1, -1},
{ 1, 3, 2, 4, 1, 2, 8, 4, 2, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 3, 2, 0, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 3, 2, 4, 1, 2, 8, 4, 2, 9, 5, 0, -1, -1, -1, -1},
{ 9, 3, 2, 5, 3, 9, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 2, 11, 11, 2, 8, 11, 8, 5, 5, 8, 4, -1, -1, -1, -1},
{ 5, 2, 0, 11, 2, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1},
{ 4, 3, 8, 8, 3, 2, 3, 4, 0, 0, 9, 11, 0, 11, 3, -1},
{ 9, 11, 3, 9, 3, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 9, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 2, 7, 10, 3, 6, 0, 4, 8, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 7, 5, 0, 7, 0, 2, -1, -1, -1, -1, -1, -1, -1},
{ 7, 5, 4, 2, 7, 4, 8, 2, 4, 10, 3, 6, -1, -1, -1, -1},
{ 10, 3, 6, 9, 2, 7, 1, 5, 11, -1, -1, -1, -1, -1, -1, -1},
{ 10, 3, 6, 9, 2, 7, 1, 5, 11, 0, 4, 8, -1, -1, -1, -1},
{ 1, 0, 2, 1, 2, 7, 1, 7, 11, 3, 6, 10, -1, -1, -1, -1},
{ 10, 3, 6, 1, 7, 11, 1, 2, 7, 1, 4, 2, 4, 8, 2, -1},
{ 9, 2, 7, 6, 4, 1, 6, 1, 3, -1, -1, -1, -1, -1, -1, -1},
{ 0, 1, 3, 8, 0, 3, 6, 8, 3, 7, 9, 2, -1, -1, -1, -1},
{ 0, 2, 7, 0, 7, 5, 4, 1, 3, 6, 4, 3, -1, -1, -1, -1},
{ 2, 5, 8, 7, 5, 2, 6, 8, 5, 1, 3, 6, 5, 1, 6, -1},
{ 6, 4, 5, 6, 5, 11, 6, 11, 3, 7, 9, 2, -1, -1, -1, -1},
{ 9, 2, 7, 0, 6, 8, 0, 3, 6, 0, 5, 3, 5, 11, 3, -1},
{ 3, 4, 11, 6, 4, 3, 7, 11, 4, 0, 2, 7, 4, 0, 7, -1},
{ 11, 3, 8, 8, 3, 6, 8, 2, 11, 2, 7, 11, -1, -1, -1, -1},
{ 9, 8, 10, 7, 9, 10, 3, 7, 10, -1, -1, -1, -1, -1, -1, -1},
{ 9, 0, 7, 0, 4, 7, 4, 3, 7, 4, 10, 3, -1, -1, -1, -1},
{ 8, 10, 0, 0, 10, 3, 0, 3, 5, 5, 3, 7, -1, -1, -1, -1},
{ 10, 5, 4, 3, 5, 10, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1},
{ 9, 8, 10, 7, 9, 10, 3, 7, 10, 1, 5, 11, -1, -1, -1, -1},
{ 1, 5, 11, 9, 0, 7, 0, 4, 7, 4, 3, 7, 4, 10, 3, -1},
{ 11, 0, 7, 1, 0, 11, 3, 7, 0, 8, 10, 3, 0, 8, 3, -1},
{ 7, 1, 4, 11, 1, 7, 4, 3, 7, 4, 10, 3, -1, -1, -1, -1},
{ 4, 9, 8, 7, 9, 4, 1, 7, 4, 3, 7, 1, -1, -1, -1, -1},
{ 7, 1, 3, 9, 1, 7, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1},
{ 8, 7, 0, 0, 7, 5, 7, 8, 4, 4, 1, 3, 4, 3, 7, -1},
{ 5, 1, 3, 7, 5, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 4, 11, 11, 4, 5, 4, 3, 7, 7, 9, 8, 7, 8, 4, -1},
{ 3, 9, 0, 7, 9, 3, 0, 11, 3, 0, 5, 11, -1, -1, -1, -1},
{ 3, 7, 11, 8, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 3, 7, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 10, 11, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 4, 8, 10, 11, 7, 10, 7, 6, -1, -1, -1, -1, -1, -1, -1},
{ 9, 5, 0, 6, 10, 11, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 5, 8, 5, 4, 6, 10, 11, 7, 6, 11, -1, -1, -1, -1},
{ 5, 7, 6, 5, 6, 10, 5, 10, 1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 7, 6, 5, 6, 10, 5, 10, 1, 4, 8, 0, -1, -1, -1, -1},
{ 1, 0, 10, 10, 0, 9, 10, 9, 6, 6, 9, 7, -1, -1, -1, -1},
{ 1, 7, 10, 10, 7, 6, 7, 1, 4, 4, 8, 9, 4, 9, 7, -1},
{ 7, 6, 4, 7, 4, 1, 7, 1, 11, -1, -1, -1, -1, -1, -1, -1},
{ 11, 0, 1, 8, 0, 11, 7, 8, 11, 6, 8, 7, -1, -1, -1, -1},
{ 7, 6, 4, 7, 4, 1, 7, 1, 11, 5, 0, 9, -1, -1, -1, -1},
{ 11, 6, 1, 7, 6, 11, 5, 1, 6, 8, 9, 5, 6, 8, 5, -1},
{ 4, 5, 7, 4, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 7, 0, 0, 7, 8, 6, 8, 7, -1, -1, -1, -1, -1, -1, -1},
{ 7, 6, 9, 9, 6, 0, 4, 0, 6, -1, -1, -1, -1, -1, -1, -1},
{ 8, 9, 7, 8, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 10, 11, 2, 8, 11, 7, 2, 11, -1, -1, -1, -1, -1, -1, -1},
{ 10, 11, 4, 4, 11, 7, 4, 7, 0, 0, 7, 2, -1, -1, -1, -1},
{ 8, 10, 11, 2, 8, 11, 7, 2, 11, 5, 0, 9, -1, -1, -1, -1},
{ 9, 4, 2, 5, 4, 9, 7, 2, 4, 10, 11, 7, 4, 10, 7, -1},
{ 1, 8, 10, 2, 8, 1, 5, 2, 1, 7, 2, 5, -1, -1, -1, -1},
{ 1, 7, 10, 5, 7, 1, 4, 10, 7, 2, 0, 4, 7, 2, 4, -1},
{ 7, 1, 9, 9, 1, 0, 1, 7, 2, 2, 8, 10, 2, 10, 1, -1},
{ 7, 2, 9, 10, 1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 4, 2, 4, 1, 2, 1, 7, 2, 1, 11, 7, -1, -1, -1, -1},
{ 11, 0, 1, 7, 0, 11, 0, 7, 2, -1, -1, -1, -1, -1, -1, -1},
{ 5, 0, 9, 8, 4, 2, 4, 1, 2, 1, 7, 2, 1, 11, 7, -1},
{ 2, 5, 1, 9, 5, 2, 1, 7, 2, 1, 11, 7, -1, -1, -1, -1},
{ 4, 5, 8, 8, 5, 2, 7, 2, 5, -1, -1, -1, -1, -1, -1, -1},
{ 7, 2, 0, 5, 7, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 7, 2, 4, 4, 2, 8, 4, 0, 7, 0, 9, 7, -1, -1, -1, -1},
{ 7, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 11, 9, 6, 10, 9, 2, 6, 9, -1, -1, -1, -1, -1, -1, -1},
{ 10, 11, 9, 6, 10, 9, 2, 6, 9, 0, 4, 8, -1, -1, -1, -1},
{ 5, 10, 11, 6, 10, 5, 0, 6, 5, 2, 6, 0, -1, -1, -1, -1},
{ 2, 5, 8, 8, 5, 4, 5, 2, 6, 6, 10, 11, 6, 11, 5, -1},
{ 10, 1, 6, 1, 5, 6, 5, 2, 6, 5, 9, 2, -1, -1, -1, -1},
{ 0, 4, 8, 10, 1, 6, 1, 5, 6, 5, 2, 6, 5, 9, 2, -1},
{ 1, 0, 10, 10, 0, 6, 2, 6, 0, -1, -1, -1, -1, -1, -1, -1},
{ 2, 6, 1, 1, 6, 10, 1, 4, 2, 4, 8, 2, -1, -1, -1, -1},
{ 11, 9, 1, 1, 9, 2, 1, 2, 4, 4, 2, 6, -1, -1, -1, -1},
{ 8, 1, 6, 0, 1, 8, 2, 6, 1, 11, 9, 2, 1, 11, 2, -1},
{ 11, 6, 1, 1, 6, 4, 6, 11, 5, 5, 0, 2, 5, 2, 6, -1},
{ 2, 6, 8, 11, 5, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 6, 4, 2, 2, 4, 9, 5, 9, 4, -1, -1, -1, -1, -1, -1, -1},
{ 5, 9, 6, 6, 9, 2, 6, 8, 5, 8, 0, 5, -1, -1, -1, -1},
{ 0, 2, 6, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 2, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 10, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 0, 11, 9, 4, 11, 0, 11, 4, 10, -1, -1, -1, -1, -1, -1, -1},
{ 5, 10, 11, 0, 10, 5, 10, 0, 8, -1, -1, -1, -1, -1, -1, -1},
{ 4, 10, 11, 5, 4, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 1, 8, 10, 5, 8, 1, 8, 5, 9, -1, -1, -1, -1, -1, -1, -1},
{ 9, 4, 10, 0, 4, 9, 10, 5, 9, 10, 1, 5, -1, -1, -1, -1},
{ 0, 8, 10, 1, 0, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 10, 1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 4, 9, 8, 1, 9, 4, 9, 1, 11, -1, -1, -1, -1, -1, -1, -1},
{ 1, 11, 9, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 11, 0, 8, 5, 0, 11, 8, 1, 11, 8, 4, 1, -1, -1, -1, -1},
{ 11, 5, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 5, 9, 8, 4, 5, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 9, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ 8, 4, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1},
{ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1}
};
__constant__ int trianglesCount[1<<Cube::CORNERS] = {
0,1,1,2,1,2,2,
3,1,2,2,3,2,3,
3,2,1,2,2,3,2,
3,3,4,2,3,3,4,
3,4,4,3,1,2,2,
3,2,3,3,4,2,3,
3,4,3,4,4,3,2,
3,3,2,3,4,4,3,
3,4,4,3,4,5,5,
2,1,2,2,3,2,3,
3,4,2,3,3,4,3,
4,4,3,2,3,3,4,
3,4,4,5,3,4,4,
5,4,5,5,4,2,3,
3,4,3,4,2,3,3,
4,4,5,4,5,3,2,
3,4,4,3,4,5,3,
2,4,5,5,4,5,2,
4,1,1,2,2,3,2,
3,3,4,2,3,3,4,
3,4,4,3,2,3,3,
4,3,4,4,5,3,2,
4,3,4,3,5,2,2,
3,3,4,3,4,4,5,
3,4,4,5,4,5,5,
4,3,4,4,3,4,5,
5,4,4,3,5,2,5,
4,2,1,2,3,3,4,
3,4,4,5,3,4,4,
5,2,3,3,2,3,4,
4,5,4,5,5,2,4,
3,5,4,3,2,4,1,
3,4,4,5,4,5,3,
4,4,5,5,2,3,4,
2,1,2,3,3,2,3,
4,2,1,3,2,4,1,
2,1,1,0
};
__constant__ int edgeVertex[12][2]={
{0,1},
{2,3},
{4,5},
{6,7},
{0,3},
{1,2},
{4,7},
{5,6},
{0,4},
{1,5},
{3,7},
{2,6}
};
__constant__ int parentFaceKind[8][6]={
{0,-1,2,-1,4,-1},
{-1,1,2,-1,4,-1},
{0,-1,-1,3,4,-1},
{-1,1,-1,3,4,-1},
{0,-1,2,-1,-1,5},
{-1,1,2,-1,-1,5},
{0,-1,-1,3,-1,5},
{0,1,-1,3,-1,5}
};
// [vertexId] -> next children Key
__constant__ int childrenVertexKind[8]={
0,1,3,2,4,5,7,6
};
__constant__ int faceVertexs[6][4]={
{0,3,4,7},
{1,2,5,6},
{0,1,4,5},
{2,3,6,7},
{0,1,2,3},
{4,5,6,7}
};
__constant__ int faceEdges[6][4]={
{4,6,8,10},
{5,7,9,11},
{0,2,8,9},
{1,3,10,11},
{0,1,4,5},
{2,3,6,7}
};
#endif //GPU_POISSONRECON_MARCHINGCUBES_CUH