Razakhel / RaZ / 15087107203

coverage: 74.544% (+0.1%) from 74.445%
15087107203

push

github

Razakhel 
[Data/MarchingCubes] Added a marching cubes implementation

- It can be computed from a boolean 3D grid

42 of 43 new or added lines in 2 files covered. (97.67%)

8299 of 11133 relevant lines covered (74.54%)

1725.45 hits per line

Source File
Press 'n' to go to next uncovered line, 'b' for previous

97.5
/src/RaZ/Data/MarchingCubes.cpp
1 
#include "RaZ/Data/Grid3.hpp"
2 
#include "RaZ/Data/MarchingCubes.hpp"
3 
#include "RaZ/Data/Mesh.hpp"
4 









5



#include "tracy/Tracy.hpp"










6












7



namespace Raz {










8












9



namespace {










10












11



// TODO: the middle & back points should have a negative Z coordinate, but follows the configuration used for now










12



constexpr std::array<Vec3f, 12> edgeVertices = {










13



  Vec3f(0.5f, 0.f,  0.f),  // Bottom front










14



  Vec3f(1.f,  0.5f, 0.f),  // Right front










15



  Vec3f(0.5f, 1.f,  0.f),  // Top front










16



  Vec3f(0.f,  0.5f, 0.f),  // Left front










17



  Vec3f(0.f,  0.f,  0.5f), // Bottom left










18



  Vec3f(1.f,  0.f,  0.5f), // Bottom right










19



  Vec3f(1.f,  1.f,  0.5f), // Top right










20



  Vec3f(0.f,  1.f,  0.5f), // Top left










21



  Vec3f(0.5f, 0.f,  1.f),  // Bottom back










22



  Vec3f(1.f,  0.5f, 1.f),  // Right back










23



  Vec3f(0.5f, 1.f,  1.f),  // Top back










24



  Vec3f(0.f,  0.5f, 1.f)   // Left back










25



};










26












27



enum VertexPosition {










28



  NONE         = -1,










29



  BOTTOM_FRONT = 0,










30



  RIGHT_FRONT  = 1,










31



  TOP_FRONT    = 2,










32



  LEFT_FRONT   = 3,










33



  BOTTOM_LEFT  = 4,










34



  BOTTOM_RIGHT = 5,










35



  TOP_RIGHT    = 6,










36



  TOP_LEFT     = 7,










37



  BOTTOM_BACK  = 8,










38



  RIGHT_BACK   = 9,










39



  TOP_BACK     = 10,










40



  LEFT_BACK    = 11










41



};










42












43



// Table adapted from https://paulbourke.net/geometry/polygonise/










44



constexpr std::array<std::array<int8_t, 15>, 256> trianglesIndices = {{










45



  { NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










46



  { BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










47



  { BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










48



  { BOTTOM_RIGHT, LEFT_BACK, BOTTOM_LEFT, RIGHT_BACK, LEFT_BACK, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










49



  { BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










50



  { BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










51



  { RIGHT_BACK, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_BACK, BOTTOM_FRONT, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










52



  { BOTTOM_FRONT, LEFT_BACK, BOTTOM_LEFT, BOTTOM_FRONT, RIGHT_FRONT, LEFT_BACK, RIGHT_FRONT, RIGHT_BACK, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










53



  { BOTTOM_LEFT, LEFT_FRONT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










54



  { BOTTOM_BACK, LEFT_FRONT, BOTTOM_FRONT, LEFT_BACK, LEFT_FRONT, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










55



  { BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_BACK, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










56



  { BOTTOM_RIGHT, LEFT_FRONT, BOTTOM_FRONT, BOTTOM_RIGHT, RIGHT_BACK, LEFT_FRONT, RIGHT_BACK, LEFT_BACK, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










57



  { BOTTOM_LEFT, RIGHT_FRONT, BOTTOM_RIGHT, LEFT_FRONT, RIGHT_FRONT, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










58



  { BOTTOM_BACK, RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_BACK, LEFT_BACK, RIGHT_FRONT, LEFT_BACK, LEFT_FRONT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










59



  { BOTTOM_LEFT, RIGHT_BACK, BOTTOM_BACK, BOTTOM_LEFT, LEFT_FRONT, RIGHT_BACK, LEFT_FRONT, RIGHT_FRONT, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










60



  { RIGHT_BACK, LEFT_BACK, RIGHT_FRONT, RIGHT_FRONT, LEFT_BACK, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










61



  { TOP_BACK, TOP_LEFT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










62



  { TOP_BACK, BOTTOM_LEFT, BOTTOM_BACK, TOP_LEFT, BOTTOM_LEFT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










63



  { BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK, LEFT_BACK, TOP_BACK, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










64



  { TOP_BACK, BOTTOM_RIGHT, RIGHT_BACK, TOP_BACK, TOP_LEFT, BOTTOM_RIGHT, TOP_LEFT, BOTTOM_LEFT, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










65



  { BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, LEFT_BACK, TOP_BACK, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










66



  { BOTTOM_LEFT, TOP_BACK, TOP_LEFT, BOTTOM_LEFT, BOTTOM_BACK, TOP_BACK, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










67



  { RIGHT_BACK, BOTTOM_FRONT, RIGHT_FRONT, RIGHT_BACK, BOTTOM_BACK, BOTTOM_FRONT, LEFT_BACK, TOP_BACK, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










68



  { BOTTOM_FRONT, RIGHT_FRONT, RIGHT_BACK, BOTTOM_FRONT, RIGHT_BACK, TOP_LEFT, BOTTOM_FRONT, TOP_LEFT, BOTTOM_LEFT, TOP_LEFT, RIGHT_BACK, TOP_BACK, NONE, NONE, NONE },










69



  { LEFT_BACK, TOP_BACK, TOP_LEFT, BOTTOM_LEFT, LEFT_FRONT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










70



  { LEFT_FRONT, TOP_BACK, TOP_LEFT, LEFT_FRONT, BOTTOM_FRONT, TOP_BACK, BOTTOM_FRONT, BOTTOM_BACK, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










71



  { RIGHT_BACK, BOTTOM_BACK, BOTTOM_RIGHT, LEFT_BACK, TOP_BACK, TOP_LEFT, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










72



  { TOP_BACK, TOP_LEFT, LEFT_FRONT, RIGHT_BACK, TOP_BACK, LEFT_FRONT, RIGHT_BACK, LEFT_FRONT, BOTTOM_FRONT, RIGHT_BACK, BOTTOM_FRONT, BOTTOM_RIGHT, NONE, NONE, NONE },










73



  { BOTTOM_LEFT, RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_LEFT, LEFT_FRONT, RIGHT_FRONT, TOP_LEFT, LEFT_BACK, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










74



  { BOTTOM_RIGHT, LEFT_FRONT, RIGHT_FRONT, BOTTOM_RIGHT, TOP_BACK, LEFT_FRONT, BOTTOM_RIGHT, BOTTOM_BACK, TOP_BACK, TOP_LEFT, LEFT_FRONT, TOP_BACK, NONE, NONE, NONE },










75



  { TOP_BACK, TOP_LEFT, LEFT_BACK, RIGHT_BACK, BOTTOM_BACK, LEFT_FRONT, RIGHT_BACK, LEFT_FRONT, RIGHT_FRONT, LEFT_FRONT, BOTTOM_BACK, BOTTOM_LEFT, NONE, NONE, NONE },










76



  { TOP_BACK, TOP_LEFT, LEFT_FRONT, TOP_BACK, LEFT_FRONT, RIGHT_BACK, RIGHT_BACK, LEFT_FRONT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










77



  { RIGHT_BACK, TOP_RIGHT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










78



  { RIGHT_BACK, TOP_RIGHT, TOP_BACK, BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










79



  { BOTTOM_BACK, TOP_RIGHT, TOP_BACK, BOTTOM_RIGHT, TOP_RIGHT, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










80



  { LEFT_BACK, TOP_RIGHT, TOP_BACK, LEFT_BACK, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_LEFT, BOTTOM_RIGHT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










81



  { BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, RIGHT_BACK, TOP_RIGHT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










82



  { BOTTOM_LEFT, BOTTOM_BACK, LEFT_BACK, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, TOP_BACK, RIGHT_BACK, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










83



  { TOP_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, TOP_RIGHT, TOP_BACK, BOTTOM_FRONT, TOP_BACK, BOTTOM_BACK, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










84



  { BOTTOM_FRONT, RIGHT_FRONT, TOP_RIGHT, BOTTOM_LEFT, BOTTOM_FRONT, TOP_RIGHT, BOTTOM_LEFT, TOP_RIGHT, TOP_BACK, BOTTOM_LEFT, TOP_BACK, LEFT_BACK, NONE, NONE, NONE },










85



  { RIGHT_BACK, TOP_RIGHT, TOP_BACK, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










86



  { BOTTOM_BACK, LEFT_FRONT, BOTTOM_FRONT, BOTTOM_BACK, LEFT_BACK, LEFT_FRONT, TOP_BACK, RIGHT_BACK, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










87



  { BOTTOM_BACK, TOP_RIGHT, TOP_BACK, BOTTOM_BACK, BOTTOM_RIGHT, TOP_RIGHT, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










88



  { BOTTOM_FRONT, BOTTOM_RIGHT, TOP_RIGHT, BOTTOM_FRONT, TOP_RIGHT, LEFT_BACK, BOTTOM_FRONT, LEFT_BACK, LEFT_FRONT, TOP_BACK, LEFT_BACK, TOP_RIGHT, NONE, NONE, NONE },










89



  { RIGHT_FRONT, BOTTOM_LEFT, LEFT_FRONT, RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_LEFT, RIGHT_BACK, TOP_RIGHT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










90



  { TOP_BACK, RIGHT_BACK, TOP_RIGHT, BOTTOM_BACK, LEFT_BACK, BOTTOM_RIGHT, LEFT_BACK, RIGHT_FRONT, BOTTOM_RIGHT, LEFT_BACK, LEFT_FRONT, RIGHT_FRONT, NONE, NONE, NONE },










91



  { TOP_RIGHT, TOP_BACK, BOTTOM_BACK, TOP_RIGHT, BOTTOM_BACK, LEFT_FRONT, TOP_RIGHT, LEFT_FRONT, RIGHT_FRONT, LEFT_FRONT, BOTTOM_BACK, BOTTOM_LEFT, NONE, NONE, NONE },










92



  { TOP_RIGHT, TOP_BACK, LEFT_BACK, TOP_RIGHT, LEFT_BACK, RIGHT_FRONT, RIGHT_FRONT, LEFT_BACK, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










93



  { RIGHT_BACK, TOP_LEFT, LEFT_BACK, TOP_RIGHT, TOP_LEFT, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










94



  { RIGHT_BACK, BOTTOM_LEFT, BOTTOM_BACK, RIGHT_BACK, TOP_RIGHT, BOTTOM_LEFT, TOP_RIGHT, TOP_LEFT, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










95



  { BOTTOM_BACK, TOP_LEFT, LEFT_BACK, BOTTOM_BACK, BOTTOM_RIGHT, TOP_LEFT, BOTTOM_RIGHT, TOP_RIGHT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










96



  { BOTTOM_RIGHT, TOP_RIGHT, BOTTOM_LEFT, BOTTOM_LEFT, TOP_RIGHT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










97



  { RIGHT_BACK, TOP_LEFT, LEFT_BACK, RIGHT_BACK, TOP_RIGHT, TOP_LEFT, RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










98



  { RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_BACK, TOP_RIGHT, BOTTOM_BACK, TOP_RIGHT, BOTTOM_LEFT, BOTTOM_BACK, TOP_RIGHT, TOP_LEFT, BOTTOM_LEFT, NONE, NONE, NONE },










99



  { LEFT_BACK, BOTTOM_BACK, BOTTOM_FRONT, LEFT_BACK, BOTTOM_FRONT, TOP_RIGHT, LEFT_BACK, TOP_RIGHT, TOP_LEFT, RIGHT_FRONT, TOP_RIGHT, BOTTOM_FRONT, NONE, NONE, NONE },










100



  { BOTTOM_FRONT, RIGHT_FRONT, TOP_RIGHT, BOTTOM_FRONT, TOP_RIGHT, BOTTOM_LEFT, BOTTOM_LEFT, TOP_RIGHT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










101



  { TOP_LEFT, RIGHT_BACK, TOP_RIGHT, TOP_LEFT, LEFT_BACK, RIGHT_BACK, BOTTOM_LEFT, LEFT_FRONT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










102



  { RIGHT_BACK, TOP_RIGHT, TOP_LEFT, RIGHT_BACK, TOP_LEFT, BOTTOM_FRONT, RIGHT_BACK, BOTTOM_FRONT, BOTTOM_BACK, BOTTOM_FRONT, TOP_LEFT, LEFT_FRONT, NONE, NONE, NONE },










103



  { BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, BOTTOM_BACK, BOTTOM_RIGHT, LEFT_BACK, BOTTOM_RIGHT, TOP_LEFT, LEFT_BACK, BOTTOM_RIGHT, TOP_RIGHT, TOP_LEFT, NONE, NONE, NONE },










104



  { LEFT_FRONT, BOTTOM_FRONT, BOTTOM_RIGHT, LEFT_FRONT, BOTTOM_RIGHT, TOP_LEFT, TOP_LEFT, BOTTOM_RIGHT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










105



  { RIGHT_BACK, TOP_RIGHT, LEFT_BACK, LEFT_BACK, TOP_RIGHT, TOP_LEFT, RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_LEFT, RIGHT_FRONT, BOTTOM_LEFT, LEFT_FRONT, NONE, NONE, NONE },










106



  { TOP_RIGHT, TOP_LEFT, BOTTOM_BACK, TOP_RIGHT, BOTTOM_BACK, RIGHT_BACK, TOP_LEFT, LEFT_FRONT, BOTTOM_BACK, BOTTOM_RIGHT, BOTTOM_BACK, RIGHT_FRONT, LEFT_FRONT, RIGHT_FRONT, BOTTOM_BACK },










107



  { LEFT_FRONT, RIGHT_FRONT, BOTTOM_BACK, LEFT_FRONT, BOTTOM_BACK, BOTTOM_LEFT, RIGHT_FRONT, TOP_RIGHT, BOTTOM_BACK, LEFT_BACK, BOTTOM_BACK, TOP_LEFT, TOP_RIGHT, TOP_LEFT, BOTTOM_BACK },










108



  { LEFT_FRONT, RIGHT_FRONT, TOP_RIGHT, TOP_LEFT, LEFT_FRONT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










109



  { RIGHT_FRONT, TOP_FRONT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










110



  { BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










111



  { RIGHT_BACK, BOTTOM_BACK, BOTTOM_RIGHT, TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










112



  { BOTTOM_RIGHT, LEFT_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, RIGHT_BACK, LEFT_BACK, TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










113



  { BOTTOM_RIGHT, TOP_FRONT, TOP_RIGHT, BOTTOM_FRONT, TOP_FRONT, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










114



  { BOTTOM_RIGHT, TOP_FRONT, TOP_RIGHT, BOTTOM_RIGHT, BOTTOM_FRONT, TOP_FRONT, BOTTOM_LEFT, BOTTOM_BACK, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










115



  { RIGHT_BACK, TOP_FRONT, TOP_RIGHT, RIGHT_BACK, BOTTOM_BACK, TOP_FRONT, BOTTOM_BACK, BOTTOM_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










116



  { TOP_RIGHT, RIGHT_BACK, LEFT_BACK, TOP_RIGHT, LEFT_BACK, BOTTOM_FRONT, TOP_RIGHT, BOTTOM_FRONT, TOP_FRONT, BOTTOM_LEFT, BOTTOM_FRONT, LEFT_BACK, NONE, NONE, NONE },










117



  { BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, RIGHT_FRONT, TOP_FRONT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










118



  { LEFT_FRONT, BOTTOM_BACK, LEFT_BACK, LEFT_FRONT, BOTTOM_FRONT, BOTTOM_BACK, RIGHT_FRONT, TOP_FRONT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










119



  { BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










120



  { TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_FRONT, RIGHT_BACK, LEFT_FRONT, BOTTOM_FRONT, RIGHT_BACK, LEFT_BACK, LEFT_FRONT, NONE, NONE, NONE },










121



  { TOP_FRONT, BOTTOM_LEFT, LEFT_FRONT, TOP_FRONT, TOP_RIGHT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_RIGHT, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










122



  { BOTTOM_BACK, LEFT_BACK, LEFT_FRONT, BOTTOM_BACK, LEFT_FRONT, TOP_RIGHT, BOTTOM_BACK, TOP_RIGHT, BOTTOM_RIGHT, TOP_RIGHT, LEFT_FRONT, TOP_FRONT, NONE, NONE, NONE },










123



  { BOTTOM_LEFT, LEFT_FRONT, TOP_FRONT, BOTTOM_BACK, BOTTOM_LEFT, TOP_FRONT, BOTTOM_BACK, TOP_FRONT, TOP_RIGHT, BOTTOM_BACK, TOP_RIGHT, RIGHT_BACK, NONE, NONE, NONE },










124



  { TOP_FRONT, TOP_RIGHT, RIGHT_BACK, TOP_FRONT, RIGHT_BACK, LEFT_FRONT, LEFT_FRONT, RIGHT_BACK, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










125



  { TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, TOP_BACK, TOP_LEFT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










126



  { TOP_BACK, BOTTOM_LEFT, BOTTOM_BACK, TOP_BACK, TOP_LEFT, BOTTOM_LEFT, TOP_FRONT, TOP_RIGHT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










127



  { BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_BACK, TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, LEFT_BACK, TOP_BACK, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










128



  { RIGHT_FRONT, TOP_FRONT, TOP_RIGHT, BOTTOM_RIGHT, RIGHT_BACK, TOP_LEFT, BOTTOM_RIGHT, TOP_LEFT, BOTTOM_LEFT, TOP_LEFT, RIGHT_BACK, TOP_BACK, NONE, NONE, NONE },










129



  { TOP_FRONT, BOTTOM_RIGHT, BOTTOM_FRONT, TOP_FRONT, TOP_RIGHT, BOTTOM_RIGHT, TOP_BACK, TOP_LEFT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










130



  { BOTTOM_RIGHT, BOTTOM_FRONT, TOP_RIGHT, TOP_RIGHT, BOTTOM_FRONT, TOP_FRONT, BOTTOM_LEFT, BOTTOM_BACK, TOP_BACK, BOTTOM_LEFT, TOP_BACK, TOP_LEFT, NONE, NONE, NONE },










131



  { LEFT_BACK, TOP_BACK, TOP_LEFT, RIGHT_BACK, BOTTOM_BACK, TOP_RIGHT, BOTTOM_BACK, TOP_FRONT, TOP_RIGHT, BOTTOM_BACK, BOTTOM_FRONT, TOP_FRONT, NONE, NONE, NONE },










132



  { TOP_LEFT, BOTTOM_LEFT, RIGHT_BACK, TOP_LEFT, RIGHT_BACK, TOP_BACK, BOTTOM_LEFT, BOTTOM_FRONT, RIGHT_BACK, TOP_RIGHT, RIGHT_BACK, TOP_FRONT, BOTTOM_FRONT, TOP_FRONT, RIGHT_BACK },










133



  { BOTTOM_LEFT, LEFT_FRONT, BOTTOM_FRONT, TOP_LEFT, LEFT_BACK, TOP_BACK, RIGHT_FRONT, TOP_FRONT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










134



  { TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, TOP_BACK, TOP_LEFT, BOTTOM_FRONT, TOP_BACK, BOTTOM_FRONT, BOTTOM_BACK, BOTTOM_FRONT, TOP_LEFT, LEFT_FRONT, NONE, NONE, NONE },










135



  { BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK, TOP_BACK, TOP_LEFT, LEFT_BACK, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, TOP_RIGHT, RIGHT_FRONT, TOP_FRONT, NONE, NONE, NONE },










136



  { RIGHT_BACK, BOTTOM_FRONT, BOTTOM_RIGHT, RIGHT_BACK, LEFT_FRONT, BOTTOM_FRONT, RIGHT_BACK, TOP_BACK, LEFT_FRONT, TOP_LEFT, LEFT_FRONT, TOP_BACK, TOP_RIGHT, RIGHT_FRONT, TOP_FRONT },










137



  { LEFT_BACK, TOP_BACK, TOP_LEFT, BOTTOM_LEFT, LEFT_FRONT, TOP_RIGHT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_RIGHT, TOP_RIGHT, LEFT_FRONT, TOP_FRONT, NONE, NONE, NONE },










138



  { TOP_RIGHT, BOTTOM_RIGHT, LEFT_FRONT, TOP_RIGHT, LEFT_FRONT, TOP_FRONT, BOTTOM_RIGHT, BOTTOM_BACK, LEFT_FRONT, TOP_LEFT, LEFT_FRONT, TOP_BACK, BOTTOM_BACK, TOP_BACK, LEFT_FRONT },










139



  { BOTTOM_BACK, TOP_RIGHT, RIGHT_BACK, BOTTOM_BACK, TOP_FRONT, TOP_RIGHT, BOTTOM_BACK, BOTTOM_LEFT, TOP_FRONT, LEFT_FRONT, TOP_FRONT, BOTTOM_LEFT, LEFT_BACK, TOP_BACK, TOP_LEFT },










140



  { TOP_FRONT, TOP_RIGHT, RIGHT_BACK, TOP_FRONT, RIGHT_BACK, LEFT_FRONT, TOP_BACK, TOP_LEFT, RIGHT_BACK, TOP_LEFT, LEFT_FRONT, RIGHT_BACK, NONE, NONE, NONE },










141



  { RIGHT_FRONT, TOP_BACK, RIGHT_BACK, TOP_FRONT, TOP_BACK, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










142



  { TOP_BACK, RIGHT_FRONT, TOP_FRONT, TOP_BACK, RIGHT_BACK, RIGHT_FRONT, BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










143



  { RIGHT_FRONT, BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_FRONT, TOP_FRONT, BOTTOM_BACK, TOP_FRONT, TOP_BACK, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










144



  { LEFT_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, LEFT_BACK, BOTTOM_RIGHT, TOP_FRONT, LEFT_BACK, TOP_FRONT, TOP_BACK, TOP_FRONT, BOTTOM_RIGHT, RIGHT_FRONT, NONE, NONE, NONE },










145



  { BOTTOM_RIGHT, TOP_BACK, RIGHT_BACK, BOTTOM_RIGHT, BOTTOM_FRONT, TOP_BACK, BOTTOM_FRONT, TOP_FRONT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










146



  { BOTTOM_LEFT, BOTTOM_BACK, LEFT_BACK, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_BACK, BOTTOM_FRONT, TOP_BACK, RIGHT_BACK, BOTTOM_FRONT, TOP_FRONT, TOP_BACK, NONE, NONE, NONE },










147



  { BOTTOM_BACK, BOTTOM_FRONT, TOP_BACK, TOP_BACK, BOTTOM_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










148



  { LEFT_BACK, BOTTOM_LEFT, BOTTOM_FRONT, LEFT_BACK, BOTTOM_FRONT, TOP_BACK, TOP_BACK, BOTTOM_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










149



  { RIGHT_FRONT, TOP_BACK, RIGHT_BACK, RIGHT_FRONT, TOP_FRONT, TOP_BACK, LEFT_FRONT, BOTTOM_FRONT, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










150



  { BOTTOM_BACK, LEFT_BACK, BOTTOM_FRONT, BOTTOM_FRONT, LEFT_BACK, LEFT_FRONT, TOP_BACK, RIGHT_BACK, RIGHT_FRONT, TOP_BACK, RIGHT_FRONT, TOP_FRONT, NONE, NONE, NONE },










151



  { BOTTOM_LEFT, LEFT_FRONT, BOTTOM_FRONT, BOTTOM_BACK, BOTTOM_RIGHT, TOP_FRONT, BOTTOM_BACK, TOP_FRONT, TOP_BACK, TOP_FRONT, BOTTOM_RIGHT, RIGHT_FRONT, NONE, NONE, NONE },










152



  { TOP_FRONT, TOP_BACK, BOTTOM_RIGHT, TOP_FRONT, BOTTOM_RIGHT, RIGHT_FRONT, TOP_BACK, LEFT_BACK, BOTTOM_RIGHT, BOTTOM_FRONT, BOTTOM_RIGHT, LEFT_FRONT, LEFT_BACK, LEFT_FRONT, BOTTOM_RIGHT },










153



  { RIGHT_BACK, TOP_FRONT, TOP_BACK, RIGHT_BACK, BOTTOM_LEFT, TOP_FRONT, RIGHT_BACK, BOTTOM_RIGHT, BOTTOM_LEFT, LEFT_FRONT, TOP_FRONT, BOTTOM_LEFT, NONE, NONE, NONE },










154



  { LEFT_BACK, LEFT_FRONT, BOTTOM_RIGHT, LEFT_BACK, BOTTOM_RIGHT, BOTTOM_BACK, LEFT_FRONT, TOP_FRONT, BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_RIGHT, TOP_BACK, TOP_FRONT, TOP_BACK, BOTTOM_RIGHT },










155



  { BOTTOM_LEFT, LEFT_FRONT, TOP_FRONT, BOTTOM_LEFT, TOP_FRONT, BOTTOM_BACK, BOTTOM_BACK, TOP_FRONT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










156



  { TOP_FRONT, TOP_BACK, LEFT_BACK, LEFT_FRONT, TOP_FRONT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










157



  { TOP_LEFT, RIGHT_FRONT, TOP_FRONT, TOP_LEFT, LEFT_BACK, RIGHT_FRONT, LEFT_BACK, RIGHT_BACK, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










158



  { BOTTOM_BACK, TOP_LEFT, BOTTOM_LEFT, BOTTOM_BACK, RIGHT_FRONT, TOP_LEFT, BOTTOM_BACK, RIGHT_BACK, RIGHT_FRONT, TOP_FRONT, TOP_LEFT, RIGHT_FRONT, NONE, NONE, NONE },










159



  { RIGHT_FRONT, TOP_FRONT, TOP_LEFT, BOTTOM_RIGHT, RIGHT_FRONT, TOP_LEFT, BOTTOM_RIGHT, TOP_LEFT, LEFT_BACK, BOTTOM_RIGHT, LEFT_BACK, BOTTOM_BACK, NONE, NONE, NONE },










160



  { RIGHT_FRONT, TOP_FRONT, TOP_LEFT, RIGHT_FRONT, TOP_LEFT, BOTTOM_RIGHT, BOTTOM_RIGHT, TOP_LEFT, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










161



  { BOTTOM_RIGHT, BOTTOM_FRONT, TOP_FRONT, BOTTOM_RIGHT, TOP_FRONT, LEFT_BACK, BOTTOM_RIGHT, LEFT_BACK, RIGHT_BACK, LEFT_BACK, TOP_FRONT, TOP_LEFT, NONE, NONE, NONE },










162



  { BOTTOM_FRONT, TOP_FRONT, RIGHT_BACK, BOTTOM_FRONT, RIGHT_BACK, BOTTOM_RIGHT, TOP_FRONT, TOP_LEFT, RIGHT_BACK, BOTTOM_BACK, RIGHT_BACK, BOTTOM_LEFT, TOP_LEFT, BOTTOM_LEFT, RIGHT_BACK },










163



  { TOP_LEFT, LEFT_BACK, BOTTOM_BACK, TOP_LEFT, BOTTOM_BACK, TOP_FRONT, TOP_FRONT, BOTTOM_BACK, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










164



  { TOP_LEFT, BOTTOM_LEFT, BOTTOM_FRONT, TOP_FRONT, TOP_LEFT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










165



  { BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT, RIGHT_FRONT, TOP_FRONT, LEFT_BACK, RIGHT_FRONT, LEFT_BACK, RIGHT_BACK, LEFT_BACK, TOP_FRONT, TOP_LEFT, NONE, NONE, NONE },










166



  { BOTTOM_FRONT, BOTTOM_BACK, TOP_LEFT, BOTTOM_FRONT, TOP_LEFT, LEFT_FRONT, BOTTOM_BACK, RIGHT_BACK, TOP_LEFT, TOP_FRONT, TOP_LEFT, RIGHT_FRONT, RIGHT_BACK, RIGHT_FRONT, TOP_LEFT },










167



  { BOTTOM_RIGHT, LEFT_BACK, BOTTOM_BACK, BOTTOM_RIGHT, TOP_LEFT, LEFT_BACK, BOTTOM_RIGHT, RIGHT_FRONT, TOP_LEFT, TOP_FRONT, TOP_LEFT, RIGHT_FRONT, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_FRONT },










168



  { LEFT_FRONT, BOTTOM_FRONT, BOTTOM_RIGHT, LEFT_FRONT, BOTTOM_RIGHT, TOP_LEFT, RIGHT_FRONT, TOP_FRONT, BOTTOM_RIGHT, TOP_FRONT, TOP_LEFT, BOTTOM_RIGHT, NONE, NONE, NONE },










169



  { LEFT_BACK, RIGHT_BACK, TOP_FRONT, LEFT_BACK, TOP_FRONT, TOP_LEFT, RIGHT_BACK, BOTTOM_RIGHT, TOP_FRONT, LEFT_FRONT, TOP_FRONT, BOTTOM_LEFT, BOTTOM_RIGHT, BOTTOM_LEFT, TOP_FRONT },










170



  { BOTTOM_BACK, RIGHT_BACK, BOTTOM_RIGHT, LEFT_FRONT, TOP_FRONT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










171



  { TOP_LEFT, LEFT_BACK, BOTTOM_BACK, TOP_LEFT, BOTTOM_BACK, TOP_FRONT, BOTTOM_LEFT, LEFT_FRONT, BOTTOM_BACK, LEFT_FRONT, TOP_FRONT, BOTTOM_BACK, NONE, NONE, NONE },










172



  { TOP_LEFT, LEFT_FRONT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










173



  { TOP_LEFT, TOP_FRONT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










174



  { BOTTOM_LEFT, BOTTOM_BACK, LEFT_BACK, LEFT_FRONT, TOP_LEFT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










175



  { BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK, LEFT_FRONT, TOP_LEFT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










176



  { LEFT_BACK, BOTTOM_RIGHT, RIGHT_BACK, LEFT_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, LEFT_FRONT, TOP_LEFT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










177



  { RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_FRONT, TOP_FRONT, LEFT_FRONT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










178



  { BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_LEFT, BOTTOM_BACK, LEFT_BACK, TOP_FRONT, LEFT_FRONT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










179



  { BOTTOM_FRONT, RIGHT_BACK, BOTTOM_BACK, BOTTOM_FRONT, RIGHT_FRONT, RIGHT_BACK, TOP_FRONT, LEFT_FRONT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










180



  { TOP_FRONT, LEFT_FRONT, TOP_LEFT, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_LEFT, RIGHT_FRONT, LEFT_BACK, BOTTOM_LEFT, RIGHT_FRONT, RIGHT_BACK, LEFT_BACK, NONE, NONE, NONE },










181



  { TOP_LEFT, BOTTOM_FRONT, BOTTOM_LEFT, TOP_FRONT, BOTTOM_FRONT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










182



  { TOP_LEFT, BOTTOM_BACK, LEFT_BACK, TOP_LEFT, TOP_FRONT, BOTTOM_BACK, TOP_FRONT, BOTTOM_FRONT, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










183



  { BOTTOM_FRONT, TOP_LEFT, TOP_FRONT, BOTTOM_FRONT, BOTTOM_LEFT, TOP_LEFT, BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










184



  { BOTTOM_RIGHT, TOP_FRONT, BOTTOM_FRONT, BOTTOM_RIGHT, LEFT_BACK, TOP_FRONT, BOTTOM_RIGHT, RIGHT_BACK, LEFT_BACK, LEFT_BACK, TOP_LEFT, TOP_FRONT, NONE, NONE, NONE },










185



  { RIGHT_FRONT, TOP_LEFT, TOP_FRONT, RIGHT_FRONT, BOTTOM_RIGHT, TOP_LEFT, BOTTOM_RIGHT, BOTTOM_LEFT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










186



  { RIGHT_FRONT, TOP_LEFT, TOP_FRONT, BOTTOM_RIGHT, TOP_LEFT, RIGHT_FRONT, BOTTOM_RIGHT, LEFT_BACK, TOP_LEFT, BOTTOM_RIGHT, BOTTOM_BACK, LEFT_BACK, NONE, NONE, NONE },










187



  { BOTTOM_BACK, BOTTOM_LEFT, TOP_LEFT, BOTTOM_BACK, TOP_LEFT, RIGHT_FRONT, BOTTOM_BACK, RIGHT_FRONT, RIGHT_BACK, TOP_FRONT, RIGHT_FRONT, TOP_LEFT, NONE, NONE, NONE },










188



  { TOP_LEFT, TOP_FRONT, RIGHT_FRONT, TOP_LEFT, RIGHT_FRONT, LEFT_BACK, LEFT_BACK, RIGHT_FRONT, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










189



  { TOP_FRONT, LEFT_BACK, TOP_BACK, LEFT_FRONT, LEFT_BACK, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










190



  { BOTTOM_LEFT, TOP_FRONT, LEFT_FRONT, BOTTOM_LEFT, BOTTOM_BACK, TOP_FRONT, BOTTOM_BACK, TOP_BACK, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










191



  { LEFT_BACK, TOP_FRONT, LEFT_FRONT, LEFT_BACK, TOP_BACK, TOP_FRONT, RIGHT_BACK, BOTTOM_BACK, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










192



  { RIGHT_BACK, TOP_BACK, TOP_FRONT, RIGHT_BACK, TOP_FRONT, BOTTOM_LEFT, RIGHT_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, LEFT_FRONT, BOTTOM_LEFT, TOP_FRONT, NONE, NONE, NONE },










193



  { TOP_FRONT, LEFT_BACK, TOP_BACK, TOP_FRONT, LEFT_FRONT, LEFT_BACK, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










194



  { BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_LEFT, BOTTOM_BACK, LEFT_FRONT, BOTTOM_BACK, TOP_FRONT, LEFT_FRONT, BOTTOM_BACK, TOP_BACK, TOP_FRONT, NONE, NONE, NONE },










195



  { TOP_BACK, LEFT_FRONT, LEFT_BACK, TOP_BACK, TOP_FRONT, LEFT_FRONT, BOTTOM_BACK, BOTTOM_FRONT, RIGHT_BACK, BOTTOM_FRONT, RIGHT_FRONT, RIGHT_BACK, NONE, NONE, NONE },










196



  { RIGHT_FRONT, RIGHT_BACK, BOTTOM_LEFT, RIGHT_FRONT, BOTTOM_LEFT, BOTTOM_FRONT, RIGHT_BACK, TOP_BACK, BOTTOM_LEFT, LEFT_FRONT, BOTTOM_LEFT, TOP_FRONT, TOP_BACK, TOP_FRONT, BOTTOM_LEFT },










197



  { LEFT_BACK, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_BACK, TOP_BACK, BOTTOM_FRONT, TOP_BACK, TOP_FRONT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










198



  { BOTTOM_BACK, TOP_BACK, BOTTOM_FRONT, TOP_BACK, TOP_FRONT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










199



  { BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_BACK, BOTTOM_FRONT, BOTTOM_LEFT, TOP_BACK, BOTTOM_FRONT, TOP_BACK, TOP_FRONT, TOP_BACK, BOTTOM_LEFT, LEFT_BACK, NONE, NONE, NONE },










200



  { BOTTOM_RIGHT, RIGHT_BACK, TOP_BACK, BOTTOM_RIGHT, TOP_BACK, BOTTOM_FRONT, BOTTOM_FRONT, TOP_BACK, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










201



  { LEFT_BACK, BOTTOM_RIGHT, BOTTOM_LEFT, LEFT_BACK, TOP_FRONT, BOTTOM_RIGHT, LEFT_BACK, TOP_BACK, TOP_FRONT, TOP_FRONT, RIGHT_FRONT, BOTTOM_RIGHT, NONE, NONE, NONE },










202



  { RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_BACK, RIGHT_FRONT, BOTTOM_BACK, TOP_FRONT, TOP_FRONT, BOTTOM_BACK, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










203



  { TOP_BACK, TOP_FRONT, BOTTOM_LEFT, TOP_BACK, BOTTOM_LEFT, LEFT_BACK, TOP_FRONT, RIGHT_FRONT, BOTTOM_LEFT, BOTTOM_BACK, BOTTOM_LEFT, RIGHT_BACK, RIGHT_FRONT, RIGHT_BACK, BOTTOM_LEFT },










204



  { RIGHT_FRONT, RIGHT_BACK, TOP_BACK, TOP_FRONT, RIGHT_FRONT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










205



  { TOP_BACK, RIGHT_BACK, TOP_RIGHT, TOP_LEFT, TOP_FRONT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










206



  { BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, TOP_BACK, RIGHT_BACK, TOP_RIGHT, LEFT_FRONT, TOP_LEFT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










207



  { TOP_RIGHT, BOTTOM_BACK, BOTTOM_RIGHT, TOP_RIGHT, TOP_BACK, BOTTOM_BACK, TOP_LEFT, TOP_FRONT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










208



  { LEFT_FRONT, TOP_LEFT, TOP_FRONT, LEFT_BACK, BOTTOM_LEFT, TOP_BACK, BOTTOM_LEFT, TOP_RIGHT, TOP_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, TOP_RIGHT, NONE, NONE, NONE },










209



  { RIGHT_BACK, TOP_RIGHT, TOP_BACK, RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_FRONT, TOP_LEFT, TOP_FRONT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










210



  { TOP_FRONT, LEFT_FRONT, TOP_LEFT, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, TOP_BACK, RIGHT_BACK, TOP_RIGHT, NONE, NONE, NONE },










211



  { TOP_LEFT, TOP_FRONT, LEFT_FRONT, TOP_RIGHT, TOP_BACK, RIGHT_FRONT, TOP_BACK, BOTTOM_FRONT, RIGHT_FRONT, TOP_BACK, BOTTOM_BACK, BOTTOM_FRONT, NONE, NONE, NONE },










212



  { BOTTOM_LEFT, TOP_BACK, LEFT_BACK, BOTTOM_LEFT, TOP_RIGHT, TOP_BACK, BOTTOM_LEFT, BOTTOM_FRONT, TOP_RIGHT, RIGHT_FRONT, TOP_RIGHT, BOTTOM_FRONT, LEFT_FRONT, TOP_LEFT, TOP_FRONT },










213



  { TOP_LEFT, BOTTOM_FRONT, BOTTOM_LEFT, TOP_LEFT, TOP_FRONT, BOTTOM_FRONT, TOP_RIGHT, TOP_BACK, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










214



  { RIGHT_BACK, TOP_RIGHT, TOP_BACK, BOTTOM_BACK, LEFT_BACK, TOP_FRONT, BOTTOM_BACK, TOP_FRONT, BOTTOM_FRONT, TOP_FRONT, LEFT_BACK, TOP_LEFT, NONE, NONE, NONE },










215



  { BOTTOM_LEFT, TOP_FRONT, BOTTOM_FRONT, BOTTOM_LEFT, TOP_LEFT, TOP_FRONT, BOTTOM_RIGHT, TOP_RIGHT, BOTTOM_BACK, TOP_RIGHT, TOP_BACK, BOTTOM_BACK, NONE, NONE, NONE },










216



  { TOP_FRONT, BOTTOM_FRONT, LEFT_BACK, TOP_FRONT, LEFT_BACK, TOP_LEFT, BOTTOM_FRONT, BOTTOM_RIGHT, LEFT_BACK, TOP_BACK, LEFT_BACK, TOP_RIGHT, BOTTOM_RIGHT, TOP_RIGHT, LEFT_BACK },










217



  { RIGHT_BACK, TOP_RIGHT, TOP_BACK, RIGHT_FRONT, BOTTOM_RIGHT, TOP_FRONT, BOTTOM_RIGHT, TOP_LEFT, TOP_FRONT, BOTTOM_RIGHT, BOTTOM_LEFT, TOP_LEFT, NONE, NONE, NONE },










218



  { BOTTOM_RIGHT, TOP_FRONT, RIGHT_FRONT, BOTTOM_RIGHT, TOP_LEFT, TOP_FRONT, BOTTOM_RIGHT, BOTTOM_BACK, TOP_LEFT, LEFT_BACK, TOP_LEFT, BOTTOM_BACK, RIGHT_BACK, TOP_RIGHT, TOP_BACK },










219



  { TOP_BACK, BOTTOM_BACK, RIGHT_FRONT, TOP_BACK, RIGHT_FRONT, TOP_RIGHT, BOTTOM_BACK, BOTTOM_LEFT, RIGHT_FRONT, TOP_FRONT, RIGHT_FRONT, TOP_LEFT, BOTTOM_LEFT, TOP_LEFT, RIGHT_FRONT },










220



  { TOP_LEFT, TOP_FRONT, RIGHT_FRONT, TOP_LEFT, RIGHT_FRONT, LEFT_BACK, TOP_RIGHT, TOP_BACK, RIGHT_FRONT, TOP_BACK, LEFT_BACK, RIGHT_FRONT, NONE, NONE, NONE },










221



  { TOP_FRONT, RIGHT_BACK, TOP_RIGHT, TOP_FRONT, LEFT_FRONT, RIGHT_BACK, LEFT_FRONT, LEFT_BACK, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










222



  { BOTTOM_LEFT, TOP_FRONT, LEFT_FRONT, BOTTOM_BACK, TOP_FRONT, BOTTOM_LEFT, BOTTOM_BACK, TOP_RIGHT, TOP_FRONT, BOTTOM_BACK, RIGHT_BACK, TOP_RIGHT, NONE, NONE, NONE },










223



  { BOTTOM_BACK, LEFT_FRONT, LEFT_BACK, BOTTOM_BACK, TOP_RIGHT, LEFT_FRONT, BOTTOM_BACK, BOTTOM_RIGHT, TOP_RIGHT, TOP_RIGHT, TOP_FRONT, LEFT_FRONT, NONE, NONE, NONE },










224



  { TOP_FRONT, LEFT_FRONT, BOTTOM_LEFT, TOP_FRONT, BOTTOM_LEFT, TOP_RIGHT, TOP_RIGHT, BOTTOM_LEFT, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










225



  { BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, RIGHT_BACK, TOP_RIGHT, LEFT_FRONT, RIGHT_BACK, LEFT_FRONT, LEFT_BACK, LEFT_FRONT, TOP_RIGHT, TOP_FRONT, NONE, NONE, NONE },










226



  { BOTTOM_BACK, LEFT_FRONT, BOTTOM_LEFT, BOTTOM_BACK, TOP_FRONT, LEFT_FRONT, BOTTOM_BACK, RIGHT_BACK, TOP_FRONT, TOP_RIGHT, TOP_FRONT, RIGHT_BACK, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_FRONT },










227



  { LEFT_FRONT, LEFT_BACK, TOP_RIGHT, LEFT_FRONT, TOP_RIGHT, TOP_FRONT, LEFT_BACK, BOTTOM_BACK, TOP_RIGHT, RIGHT_FRONT, TOP_RIGHT, BOTTOM_FRONT, BOTTOM_BACK, BOTTOM_FRONT, TOP_RIGHT },










228



  { TOP_FRONT, LEFT_FRONT, BOTTOM_LEFT, TOP_FRONT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_LEFT, RIGHT_FRONT, TOP_RIGHT, BOTTOM_LEFT, NONE, NONE, NONE },










229



  { TOP_RIGHT, LEFT_BACK, RIGHT_BACK, TOP_RIGHT, BOTTOM_FRONT, LEFT_BACK, TOP_RIGHT, TOP_FRONT, BOTTOM_FRONT, BOTTOM_LEFT, LEFT_BACK, BOTTOM_FRONT, NONE, NONE, NONE },










230



  { RIGHT_BACK, TOP_RIGHT, TOP_FRONT, RIGHT_BACK, TOP_FRONT, BOTTOM_BACK, BOTTOM_BACK, TOP_FRONT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










231



  { BOTTOM_RIGHT, TOP_RIGHT, LEFT_BACK, BOTTOM_RIGHT, LEFT_BACK, BOTTOM_BACK, TOP_RIGHT, TOP_FRONT, LEFT_BACK, BOTTOM_LEFT, LEFT_BACK, BOTTOM_FRONT, TOP_FRONT, BOTTOM_FRONT, LEFT_BACK },










232



  { BOTTOM_RIGHT, TOP_RIGHT, TOP_FRONT, BOTTOM_FRONT, BOTTOM_RIGHT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










233



  { BOTTOM_RIGHT, BOTTOM_LEFT, TOP_FRONT, BOTTOM_RIGHT, TOP_FRONT, RIGHT_FRONT, BOTTOM_LEFT, LEFT_BACK, TOP_FRONT, TOP_RIGHT, TOP_FRONT, RIGHT_BACK, LEFT_BACK, RIGHT_BACK, TOP_FRONT },










234



  { RIGHT_FRONT, BOTTOM_RIGHT, BOTTOM_BACK, RIGHT_FRONT, BOTTOM_BACK, TOP_FRONT, RIGHT_BACK, TOP_RIGHT, BOTTOM_BACK, TOP_RIGHT, TOP_FRONT, BOTTOM_BACK, NONE, NONE, NONE },










235



  { BOTTOM_BACK, BOTTOM_LEFT, LEFT_BACK, TOP_RIGHT, TOP_FRONT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










236



  { RIGHT_FRONT, TOP_RIGHT, TOP_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










237



  { LEFT_FRONT, TOP_RIGHT, RIGHT_FRONT, TOP_LEFT, TOP_RIGHT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










238



  { LEFT_FRONT, TOP_RIGHT, RIGHT_FRONT, LEFT_FRONT, TOP_LEFT, TOP_RIGHT, LEFT_BACK, BOTTOM_LEFT, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










239



  { TOP_RIGHT, LEFT_FRONT, TOP_LEFT, TOP_RIGHT, RIGHT_FRONT, LEFT_FRONT, BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










240



  { RIGHT_FRONT, TOP_LEFT, TOP_RIGHT, RIGHT_FRONT, LEFT_FRONT, TOP_LEFT, RIGHT_BACK, LEFT_BACK, BOTTOM_RIGHT, LEFT_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, NONE, NONE, NONE },










241



  { LEFT_FRONT, BOTTOM_RIGHT, BOTTOM_FRONT, LEFT_FRONT, TOP_LEFT, BOTTOM_RIGHT, TOP_LEFT, TOP_RIGHT, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










242



  { BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, BOTTOM_RIGHT, BOTTOM_FRONT, TOP_LEFT, BOTTOM_RIGHT, TOP_LEFT, TOP_RIGHT, TOP_LEFT, BOTTOM_FRONT, LEFT_FRONT, NONE, NONE, NONE },










243



  { RIGHT_BACK, TOP_LEFT, TOP_RIGHT, RIGHT_BACK, BOTTOM_FRONT, TOP_LEFT, RIGHT_BACK, BOTTOM_BACK, BOTTOM_FRONT, BOTTOM_FRONT, LEFT_FRONT, TOP_LEFT, NONE, NONE, NONE },










244



  { TOP_LEFT, TOP_RIGHT, BOTTOM_FRONT, TOP_LEFT, BOTTOM_FRONT, LEFT_FRONT, TOP_RIGHT, RIGHT_BACK, BOTTOM_FRONT, BOTTOM_LEFT, BOTTOM_FRONT, LEFT_BACK, RIGHT_BACK, LEFT_BACK, BOTTOM_FRONT },










245



  { BOTTOM_FRONT, TOP_RIGHT, RIGHT_FRONT, BOTTOM_FRONT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_LEFT, TOP_LEFT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










246



  { LEFT_BACK, BOTTOM_FRONT, BOTTOM_BACK, LEFT_BACK, TOP_RIGHT, BOTTOM_FRONT, LEFT_BACK, TOP_LEFT, TOP_RIGHT, RIGHT_FRONT, BOTTOM_FRONT, TOP_RIGHT, NONE, NONE, NONE },










247



  { RIGHT_BACK, BOTTOM_BACK, BOTTOM_RIGHT, TOP_RIGHT, RIGHT_FRONT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_LEFT, TOP_LEFT, BOTTOM_LEFT, RIGHT_FRONT, BOTTOM_FRONT, NONE, NONE, NONE },










248



  { RIGHT_BACK, LEFT_BACK, BOTTOM_FRONT, RIGHT_BACK, BOTTOM_FRONT, BOTTOM_RIGHT, LEFT_BACK, TOP_LEFT, BOTTOM_FRONT, RIGHT_FRONT, BOTTOM_FRONT, TOP_RIGHT, TOP_LEFT, TOP_RIGHT, BOTTOM_FRONT },










249



  { BOTTOM_RIGHT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_LEFT, TOP_LEFT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










250



  { BOTTOM_BACK, LEFT_BACK, TOP_LEFT, BOTTOM_BACK, TOP_LEFT, BOTTOM_RIGHT, BOTTOM_RIGHT, TOP_LEFT, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










251



  { RIGHT_BACK, BOTTOM_BACK, BOTTOM_LEFT, RIGHT_BACK, BOTTOM_LEFT, TOP_RIGHT, TOP_RIGHT, BOTTOM_LEFT, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










252



  { RIGHT_BACK, LEFT_BACK, TOP_LEFT, TOP_RIGHT, RIGHT_BACK, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










253



  { TOP_RIGHT, LEFT_BACK, TOP_BACK, TOP_RIGHT, RIGHT_FRONT, LEFT_BACK, RIGHT_FRONT, LEFT_FRONT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










254



  { TOP_RIGHT, BOTTOM_BACK, TOP_BACK, TOP_RIGHT, LEFT_FRONT, BOTTOM_BACK, TOP_RIGHT, RIGHT_FRONT, LEFT_FRONT, LEFT_FRONT, BOTTOM_LEFT, BOTTOM_BACK, NONE, NONE, NONE },










255



  { BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK, LEFT_BACK, TOP_BACK, RIGHT_FRONT, LEFT_BACK, RIGHT_FRONT, LEFT_FRONT, RIGHT_FRONT, TOP_BACK, TOP_RIGHT, NONE, NONE, NONE },










256



  { RIGHT_FRONT, LEFT_FRONT, TOP_BACK, RIGHT_FRONT, TOP_BACK, TOP_RIGHT, LEFT_FRONT, BOTTOM_LEFT, TOP_BACK, RIGHT_BACK, TOP_BACK, BOTTOM_RIGHT, BOTTOM_LEFT, BOTTOM_RIGHT, TOP_BACK },










257



  { BOTTOM_FRONT, TOP_RIGHT, BOTTOM_RIGHT, BOTTOM_FRONT, LEFT_BACK, TOP_RIGHT, BOTTOM_FRONT, LEFT_FRONT, LEFT_BACK, TOP_BACK, TOP_RIGHT, LEFT_BACK, NONE, NONE, NONE },










258



  { BOTTOM_BACK, TOP_BACK, LEFT_FRONT, BOTTOM_BACK, LEFT_FRONT, BOTTOM_LEFT, TOP_BACK, TOP_RIGHT, LEFT_FRONT, BOTTOM_FRONT, LEFT_FRONT, BOTTOM_RIGHT, TOP_RIGHT, BOTTOM_RIGHT, LEFT_FRONT },










259



  { BOTTOM_BACK, BOTTOM_FRONT, TOP_RIGHT, BOTTOM_BACK, TOP_RIGHT, RIGHT_BACK, BOTTOM_FRONT, LEFT_FRONT, TOP_RIGHT, TOP_BACK, TOP_RIGHT, LEFT_BACK, LEFT_FRONT, LEFT_BACK, TOP_RIGHT },










260



  { RIGHT_BACK, TOP_BACK, TOP_RIGHT, BOTTOM_FRONT, LEFT_FRONT, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










261



  { BOTTOM_FRONT, TOP_RIGHT, RIGHT_FRONT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_FRONT, BOTTOM_LEFT, TOP_BACK, TOP_RIGHT, BOTTOM_LEFT, LEFT_BACK, TOP_BACK, NONE, NONE, NONE },










262



  { TOP_RIGHT, RIGHT_FRONT, BOTTOM_FRONT, TOP_RIGHT, BOTTOM_FRONT, TOP_BACK, TOP_BACK, BOTTOM_FRONT, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










263



  { BOTTOM_LEFT, RIGHT_FRONT, BOTTOM_FRONT, BOTTOM_LEFT, TOP_RIGHT, RIGHT_FRONT, BOTTOM_LEFT, LEFT_BACK, TOP_RIGHT, TOP_BACK, TOP_RIGHT, LEFT_BACK, BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_BACK },










264



  { TOP_RIGHT, RIGHT_FRONT, BOTTOM_FRONT, TOP_RIGHT, BOTTOM_FRONT, TOP_BACK, BOTTOM_RIGHT, RIGHT_BACK, BOTTOM_FRONT, RIGHT_BACK, TOP_BACK, BOTTOM_FRONT, NONE, NONE, NONE },










265



  { LEFT_BACK, TOP_BACK, TOP_RIGHT, LEFT_BACK, TOP_RIGHT, BOTTOM_LEFT, BOTTOM_LEFT, TOP_RIGHT, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE },










266



  { BOTTOM_BACK, TOP_BACK, TOP_RIGHT, BOTTOM_RIGHT, BOTTOM_BACK, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










267



  { LEFT_BACK, TOP_BACK, TOP_RIGHT, LEFT_BACK, TOP_RIGHT, BOTTOM_LEFT, RIGHT_BACK, BOTTOM_BACK, TOP_RIGHT, BOTTOM_BACK, BOTTOM_LEFT, TOP_RIGHT, NONE, NONE, NONE },










268



  { RIGHT_BACK, TOP_BACK, TOP_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










269



  { TOP_BACK, LEFT_FRONT, TOP_LEFT, TOP_BACK, RIGHT_BACK, LEFT_FRONT, RIGHT_BACK, RIGHT_FRONT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










270



  { BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT, TOP_BACK, RIGHT_BACK, TOP_LEFT, RIGHT_BACK, LEFT_FRONT, TOP_LEFT, RIGHT_BACK, RIGHT_FRONT, LEFT_FRONT, NONE, NONE, NONE },










271



  { BOTTOM_RIGHT, RIGHT_FRONT, LEFT_FRONT, BOTTOM_RIGHT, LEFT_FRONT, TOP_BACK, BOTTOM_RIGHT, TOP_BACK, BOTTOM_BACK, TOP_LEFT, TOP_BACK, LEFT_FRONT, NONE, NONE, NONE },










272



  { BOTTOM_LEFT, BOTTOM_RIGHT, TOP_BACK, BOTTOM_LEFT, TOP_BACK, LEFT_BACK, BOTTOM_RIGHT, RIGHT_FRONT, TOP_BACK, TOP_LEFT, TOP_BACK, LEFT_FRONT, RIGHT_FRONT, LEFT_FRONT, TOP_BACK },










273



  { TOP_BACK, LEFT_FRONT, TOP_LEFT, RIGHT_BACK, LEFT_FRONT, TOP_BACK, RIGHT_BACK, BOTTOM_FRONT, LEFT_FRONT, RIGHT_BACK, BOTTOM_RIGHT, BOTTOM_FRONT, NONE, NONE, NONE },










274



  { RIGHT_BACK, TOP_LEFT, TOP_BACK, RIGHT_BACK, LEFT_FRONT, TOP_LEFT, RIGHT_BACK, BOTTOM_RIGHT, LEFT_FRONT, BOTTOM_FRONT, LEFT_FRONT, BOTTOM_RIGHT, BOTTOM_BACK, LEFT_BACK, BOTTOM_LEFT },










275



  { LEFT_FRONT, TOP_LEFT, TOP_BACK, LEFT_FRONT, TOP_BACK, BOTTOM_FRONT, BOTTOM_FRONT, TOP_BACK, BOTTOM_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










276



  { LEFT_FRONT, TOP_LEFT, TOP_BACK, LEFT_FRONT, TOP_BACK, BOTTOM_FRONT, LEFT_BACK, BOTTOM_LEFT, TOP_BACK, BOTTOM_LEFT, BOTTOM_FRONT, TOP_BACK, NONE, NONE, NONE },










277



  { BOTTOM_FRONT, RIGHT_BACK, RIGHT_FRONT, BOTTOM_FRONT, TOP_LEFT, RIGHT_BACK, BOTTOM_FRONT, BOTTOM_LEFT, TOP_LEFT, TOP_LEFT, TOP_BACK, RIGHT_BACK, NONE, NONE, NONE },










278



  { RIGHT_BACK, RIGHT_FRONT, TOP_LEFT, RIGHT_BACK, TOP_LEFT, TOP_BACK, RIGHT_FRONT, BOTTOM_FRONT, TOP_LEFT, LEFT_BACK, TOP_LEFT, BOTTOM_BACK, BOTTOM_FRONT, BOTTOM_BACK, TOP_LEFT },










279



  { BOTTOM_LEFT, TOP_LEFT, RIGHT_FRONT, BOTTOM_LEFT, RIGHT_FRONT, BOTTOM_FRONT, TOP_LEFT, TOP_BACK, RIGHT_FRONT, BOTTOM_RIGHT, RIGHT_FRONT, BOTTOM_BACK, TOP_BACK, BOTTOM_BACK, RIGHT_FRONT },










280



  { BOTTOM_RIGHT, RIGHT_FRONT, BOTTOM_FRONT, LEFT_BACK, TOP_LEFT, TOP_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










281



  { TOP_BACK, RIGHT_BACK, BOTTOM_RIGHT, TOP_BACK, BOTTOM_RIGHT, TOP_LEFT, TOP_LEFT, BOTTOM_RIGHT, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE },










282



  { TOP_BACK, RIGHT_BACK, BOTTOM_RIGHT, TOP_BACK, BOTTOM_RIGHT, TOP_LEFT, BOTTOM_BACK, LEFT_BACK, BOTTOM_RIGHT, LEFT_BACK, TOP_LEFT, BOTTOM_RIGHT, NONE, NONE, NONE },










283



  { TOP_BACK, BOTTOM_BACK, BOTTOM_LEFT, TOP_LEFT, TOP_BACK, BOTTOM_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










284



  { TOP_BACK, LEFT_BACK, TOP_LEFT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










285



  { RIGHT_BACK, RIGHT_FRONT, LEFT_BACK, RIGHT_FRONT, LEFT_FRONT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










286



  { BOTTOM_LEFT, BOTTOM_BACK, RIGHT_BACK, BOTTOM_LEFT, RIGHT_BACK, LEFT_FRONT, LEFT_FRONT, RIGHT_BACK, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










287



  { BOTTOM_BACK, BOTTOM_RIGHT, RIGHT_FRONT, BOTTOM_BACK, RIGHT_FRONT, LEFT_BACK, LEFT_BACK, RIGHT_FRONT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE },










288



  { BOTTOM_LEFT, BOTTOM_RIGHT, RIGHT_FRONT, LEFT_FRONT, BOTTOM_LEFT, RIGHT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










289



  { BOTTOM_RIGHT, BOTTOM_FRONT, LEFT_FRONT, BOTTOM_RIGHT, LEFT_FRONT, RIGHT_BACK, RIGHT_BACK, LEFT_FRONT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










290



  { BOTTOM_LEFT, BOTTOM_BACK, RIGHT_BACK, BOTTOM_LEFT, RIGHT_BACK, LEFT_FRONT, BOTTOM_RIGHT, BOTTOM_FRONT, RIGHT_BACK, BOTTOM_FRONT, LEFT_FRONT, RIGHT_BACK, NONE, NONE, NONE },










291



  { BOTTOM_BACK, BOTTOM_FRONT, LEFT_FRONT, LEFT_BACK, BOTTOM_BACK, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










292



  { BOTTOM_LEFT, BOTTOM_FRONT, LEFT_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










293



  { BOTTOM_FRONT, BOTTOM_LEFT, LEFT_BACK, BOTTOM_FRONT, LEFT_BACK, RIGHT_FRONT, RIGHT_FRONT, LEFT_BACK, RIGHT_BACK, NONE, NONE, NONE, NONE, NONE, NONE },










294



  { RIGHT_BACK, RIGHT_FRONT, BOTTOM_FRONT, BOTTOM_BACK, RIGHT_BACK, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










295



  { BOTTOM_FRONT, BOTTOM_LEFT, LEFT_BACK, BOTTOM_FRONT, LEFT_BACK, RIGHT_FRONT, BOTTOM_BACK, BOTTOM_RIGHT, LEFT_BACK, BOTTOM_RIGHT, RIGHT_FRONT, LEFT_BACK, NONE, NONE, NONE },










296



  { BOTTOM_RIGHT, RIGHT_FRONT, BOTTOM_FRONT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










297



  { BOTTOM_RIGHT, BOTTOM_LEFT, LEFT_BACK, RIGHT_BACK, BOTTOM_RIGHT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










298



  { BOTTOM_BACK, RIGHT_BACK, BOTTOM_RIGHT, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










299



  { BOTTOM_BACK, BOTTOM_LEFT, LEFT_BACK, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE },










300



  { NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE, NONE }










301



}};










302













303



uint8_t computeCellConfiguration(const Grid3b& grid, std::size_t widthIndex, std::size_t heightIndex, std::size_t depthIndex) {




49✔





304



  // TODO: the following configuration feels more logical, matches the marching squares', and should ideally be used in the future










305












306



  // Computing a single number according to the corners' values:










307



  //










308



  // front      back










309



  // 8 - 4    128 - 64










310



  // |   |     |     |










311



  // 1 - 2    16 -- 32










312



  //










313



  // O - O   O - O           O - O   O - X           O - X   X - O           X - X   X - X










314



  // |   |   |   | -> 0      |   |   |   | -> 65     |   |   |   | -> 165    |   |   |   | -> 255










315



  // O - O   O - O           X - O   O - O           X - O   O - X           X - X   X - X










316












317



  // return static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex,     depthIndex    ))        // Bottom-left front










318



  //     | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex,     depthIndex    )) << 1)  // Bottom-right front










319



  //     | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex + 1, depthIndex    )) << 2)  // Top-right front










320



  //     | (static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex + 1, depthIndex    )) << 3)  // Top-left front










321



  //     | (static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex,     depthIndex + 1)) << 4)  // Bottom-left back










322



  //     | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex,     depthIndex + 1)) << 5)  // Bottom-right back










323



  //     | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex + 1, depthIndex + 1)) << 6)  // Top-right back










324



  //     | (static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex + 1, depthIndex + 1)) << 7); // Top-left back










325












326



  // TODO: using the configuration from https://paulbourke.net/geometry/polygonise/; see other TODO above










327












328



  // Computing a single number according to the corners' values:










329



  //










330



  //  front       back










331



  // 128 - 64   16 - 32










332



  //  |    |     |    |










333



  //  8 -- 4     1 -- 2










334



  //










335



  // O - O   O - O           O - O   O - X           O - X   X - O          X - X   X - X










336



  // |   |   |   | -> 0      |   |   |   | -> 40     |   |   |   | -> 90    |   |   |   | -> 255










337



  // O - O   O - O           X - O   O - O           X - O   O - X          X - X   X - X










338













339



  return (static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex,     depthIndex + 1)))       // Bottom-left back




49✔






340



       | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex,     depthIndex + 1)) << 1)  // Bottom-right back




49✔






341



       | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex,     depthIndex    )) << 2)  // Bottom-right front




49✔






342



       | (static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex,     depthIndex    )) << 3)  // Bottom-left front




49✔






343



       | (static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex + 1, depthIndex + 1)) << 4)  // Top-left back




49✔






344



       | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex + 1, depthIndex + 1)) << 5)  // Top-right back




49✔






345



       | (static_cast<uint8_t>(grid.getValue(widthIndex + 1, heightIndex + 1, depthIndex    )) << 6)  // Top-right front




49✔






346



       | (static_cast<uint8_t>(grid.getValue(widthIndex,     heightIndex + 1, depthIndex    )) << 7); // Top-left front




49✔





347



}










348












349



} // namespace










350













351



Mesh MarchingCubes::compute(const Grid3b& grid) {




7✔





352



  ZoneScopedN("MarchingCubes::compute");










353













354



  if (grid.getWidth() < 2 || grid.getHeight() < 2 || grid.getDepth() < 2)




7✔






355



    throw std::invalid_argument("[MarchingCubes] The input grid's width, height & depth must be at least 2.");




2✔





356













357



  Mesh mesh;




5✔






358



  Submesh& submesh = mesh.addSubmesh();




5✔






359



  std::vector<Vertex>& vertices = submesh.getVertices();




5✔






360



  std::vector<unsigned int>& indices = submesh.getTriangleIndices();




5✔





361













362



  const Vec3f globalOffset(static_cast<float>(grid.getWidth() - 1) * 0.5f,




15✔






363



                           static_cast<float>(grid.getHeight() - 1) * 0.5f,




5✔






364



                           static_cast<float>(grid.getDepth() - 1) * 0.5f);




10✔





365













366



  for (std::size_t depthIndex = 0; depthIndex < grid.getDepth() - 1; ++depthIndex) {




12✔






367



    for (std::size_t heightIndex = 0; heightIndex < grid.getHeight() - 1; ++heightIndex) {




18✔






368



      for (std::size_t widthIndex = 0; widthIndex < grid.getWidth() - 1; ++widthIndex) {




60✔






369



        const uint8_t cellConfig = computeCellConfiguration(grid, widthIndex, heightIndex, depthIndex);




49✔






370



        const std::array<int8_t, 15>& edgeIndices = trianglesIndices[cellConfig];




49✔






371



        const Vec3f localOffset(static_cast<float>(widthIndex), static_cast<float>(heightIndex), static_cast<float>(depthIndex));




49✔





372













373



        for (std::size_t edgeIndex = 0; edgeIndex < edgeIndices.size(); edgeIndex += 3) {




113✔






374



          if (edgeIndices[edgeIndex] == NONE)




113✔






375



            break;




49✔





376













377



          const Vec3f firstPoint  = edgeVertices[edgeIndices[edgeIndex    ]] - globalOffset + localOffset;




64✔






378



          const Vec3f secondPoint = edgeVertices[edgeIndices[edgeIndex + 1]] - globalOffset + localOffset;




64✔






379



          const Vec3f thirdPoint  = edgeVertices[edgeIndices[edgeIndex + 2]] - globalOffset + localOffset;




64✔






380



          const Vec3f normal      = (secondPoint - firstPoint).cross(thirdPoint - firstPoint).normalize();




64✔






381



          vertices.emplace_back(Vertex{ firstPoint, Vec2f(), normal });




192✔






382



          vertices.emplace_back(Vertex{ secondPoint, Vec2f(), normal });




192✔






383



          vertices.emplace_back(Vertex{ thirdPoint, Vec2f(), normal });




192✔





384













385



          indices.emplace_back(static_cast<unsigned int>(vertices.size() - 3));




64✔






386



          indices.emplace_back(static_cast<unsigned int>(vertices.size() - 2));




64✔






387



          indices.emplace_back(static_cast<unsigned int>(vertices.size() - 1));




64✔





388



        }










389



      }










390



    }










391



  }










392













393



  return mesh;




10✔






NEW


394



}




×







395












396



} // namespace Raz
























    

  • 

    •