| 78 |
78 |
|
| 79 |
79 |
private static final float DIST = 0.50f;
|
| 80 |
80 |
|
| 81 |
|
// centers of the 6 octahedrons + 8 tetrahedrons ( i.e. of the all 14 cubits)
|
| 82 |
|
private static final float[][] CENTERS = new float[][]
|
| 83 |
|
{
|
| 84 |
|
{ DIST, 0, DIST },
|
| 85 |
|
{ DIST, 0,-DIST },
|
| 86 |
|
{-DIST, 0,-DIST },
|
| 87 |
|
{-DIST, 0, DIST },
|
| 88 |
|
{ 0, DIST*SQ2 , 0 },
|
| 89 |
|
{ 0,-DIST*SQ2 , 0 },
|
| 90 |
|
|
| 91 |
|
{ 0, DIST*SQ2/2, DIST },
|
| 92 |
|
{ DIST, DIST*SQ2/2, 0 },
|
| 93 |
|
{ 0, DIST*SQ2/2,-DIST },
|
| 94 |
|
{-DIST, DIST*SQ2/2, 0 },
|
| 95 |
|
{ 0,-DIST*SQ2/2, DIST },
|
| 96 |
|
{ DIST,-DIST*SQ2/2, 0 },
|
| 97 |
|
{ 0,-DIST*SQ2/2,-DIST },
|
| 98 |
|
{-DIST,-DIST*SQ2/2, 0 }
|
| 99 |
|
};
|
| 100 |
|
|
| 101 |
81 |
// Colors of the faces of cubits. Each cubit has 8 faces
|
| 102 |
|
private static final int[][] mFaceMap = new int[][]
|
|
82 |
private static final int[][] mOctaFaceMap = new int[][]
|
| 103 |
83 |
{
|
| 104 |
84 |
{ 6,1,8,8, 2,5,8,8 },
|
| 105 |
85 |
{ 8,1,3,8, 8,5,7,8 },
|
| ... | ... | |
| 107 |
87 |
{ 6,8,8,4, 2,8,8,0 },
|
| 108 |
88 |
{ 6,1,3,4, 8,8,8,8 },
|
| 109 |
89 |
{ 8,8,8,8, 2,5,7,0 },
|
| 110 |
|
|
| 111 |
|
{ 6,8,8,8, 8,8,8,8 },
|
| 112 |
|
{ 1,8,8,8, 8,8,8,8 },
|
| 113 |
|
{ 3,8,8,8, 8,8,8,8 },
|
| 114 |
|
{ 4,8,8,8, 8,8,8,8 },
|
| 115 |
|
{ 2,8,8,8, 8,8,8,8 },
|
| 116 |
|
{ 5,8,8,8, 8,8,8,8 },
|
| 117 |
|
{ 7,8,8,8, 8,8,8,8 },
|
| 118 |
|
{ 0,8,8,8, 8,8,8,8 }
|
| 119 |
90 |
};
|
| 120 |
91 |
|
|
92 |
private static final int[] mTetraFaceMap = new int[] { 1, 3, 4, 6, 5, 7, 0, 2 };
|
|
93 |
|
| 121 |
94 |
private static MeshBase mOctaMesh, mTetraMesh;
|
| 122 |
95 |
|
| 123 |
96 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| ... | ... | |
| 165 |
138 |
|
| 166 |
139 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 167 |
140 |
|
| 168 |
|
float[] getCuts(int size)
|
|
141 |
float[] getCuts(int numLayers)
|
| 169 |
142 |
{
|
| 170 |
|
float[] cuts = new float[1];
|
| 171 |
|
cuts[0] = 0.0f;
|
| 172 |
|
return cuts;
|
|
143 |
if( numLayers<2 )
|
|
144 |
{
|
|
145 |
return null;
|
|
146 |
}
|
|
147 |
else
|
|
148 |
{
|
|
149 |
float[] cuts = new float[numLayers-1];
|
|
150 |
float dist = SQ6*0.666f;
|
|
151 |
float cut = 0.5f*dist*(2-numLayers);
|
|
152 |
|
|
153 |
for(int i=0; i<numLayers-1; i++)
|
|
154 |
{
|
|
155 |
cuts[i] = cut;
|
|
156 |
cut += dist;
|
|
157 |
}
|
|
158 |
|
|
159 |
return cuts;
|
|
160 |
}
|
| 173 |
161 |
}
|
| 174 |
162 |
|
| 175 |
163 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| ... | ... | |
| 181 |
169 |
|
| 182 |
170 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 183 |
171 |
|
| 184 |
|
float[][] getCubitPositions(int size)
|
|
172 |
private int getNumOctahedrons(int layers)
|
|
173 |
{
|
|
174 |
return layers==1 ? 1 : 4*(layers-1)*(layers-1) + 2;
|
|
175 |
}
|
|
176 |
|
|
177 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
178 |
|
|
179 |
private int getNumTetrahedrons(int layers)
|
|
180 |
{
|
|
181 |
return 4*layers*(layers-1);
|
|
182 |
}
|
|
183 |
|
|
184 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
185 |
|
|
186 |
private int createOctahedrons(float[][] centers, int index, int layers, float height)
|
|
187 |
{
|
|
188 |
float x = DIST*(layers-1);
|
|
189 |
float z = DIST*(layers+1);
|
|
190 |
|
|
191 |
for(int i=0; i<layers; i++, index++)
|
|
192 |
{
|
|
193 |
z -= 2*DIST;
|
|
194 |
centers[index][0] = x;
|
|
195 |
centers[index][1] = height;
|
|
196 |
centers[index][2] = z;
|
|
197 |
}
|
|
198 |
|
|
199 |
for(int i=0; i<layers-1; i++, index++)
|
|
200 |
{
|
|
201 |
x -= 2*DIST;
|
|
202 |
centers[index][0] = x;
|
|
203 |
centers[index][1] = height;
|
|
204 |
centers[index][2] = z;
|
|
205 |
}
|
|
206 |
|
|
207 |
for(int i=0; i<layers-1; i++, index++)
|
|
208 |
{
|
|
209 |
z += 2*DIST;
|
|
210 |
centers[index][0] = x;
|
|
211 |
centers[index][1] = height;
|
|
212 |
centers[index][2] = z;
|
|
213 |
}
|
|
214 |
|
|
215 |
for(int i=0; i<layers-2; i++, index++)
|
|
216 |
{
|
|
217 |
x += 2*DIST;
|
|
218 |
centers[index][0] = x;
|
|
219 |
centers[index][1] = height;
|
|
220 |
centers[index][2] = z;
|
|
221 |
}
|
|
222 |
|
|
223 |
return index;
|
|
224 |
}
|
|
225 |
|
|
226 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
227 |
|
|
228 |
private int createTetrahedrons(float[][] centers, int index, int layers, float height)
|
| 185 |
229 |
{
|
|
230 |
float x = DIST*(layers-1);
|
|
231 |
float z = DIST*layers;
|
|
232 |
|
|
233 |
for(int i=0; i<layers-1; i++, index++)
|
|
234 |
{
|
|
235 |
z -= 2*DIST;
|
|
236 |
centers[index][0] = x;
|
|
237 |
centers[index][1] = height;
|
|
238 |
centers[index][2] = z;
|
|
239 |
}
|
|
240 |
|
|
241 |
x += DIST;
|
|
242 |
z -= DIST;
|
|
243 |
|
|
244 |
for(int i=0; i<layers-1; i++, index++)
|
|
245 |
{
|
|
246 |
x -= 2*DIST;
|
|
247 |
centers[index][0] = x;
|
|
248 |
centers[index][1] = height;
|
|
249 |
centers[index][2] = z;
|
|
250 |
}
|
|
251 |
|
|
252 |
x -= DIST;
|
|
253 |
z -= DIST;
|
|
254 |
|
|
255 |
for(int i=0; i<layers-1; i++, index++)
|
|
256 |
{
|
|
257 |
z += 2*DIST;
|
|
258 |
centers[index][0] = x;
|
|
259 |
centers[index][1] = height;
|
|
260 |
centers[index][2] = z;
|
|
261 |
}
|
|
262 |
|
|
263 |
x -= DIST;
|
|
264 |
z += DIST;
|
|
265 |
|
|
266 |
for(int i=0; i<layers-1; i++, index++)
|
|
267 |
{
|
|
268 |
x += 2*DIST;
|
|
269 |
centers[index][0] = x;
|
|
270 |
centers[index][1] = height;
|
|
271 |
centers[index][2] = z;
|
|
272 |
}
|
|
273 |
|
|
274 |
return index;
|
|
275 |
}
|
|
276 |
|
|
277 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
278 |
|
|
279 |
float[][] getCubitPositions(int layers)
|
|
280 |
{
|
|
281 |
int numO = getNumOctahedrons(layers);
|
|
282 |
int numT = getNumTetrahedrons(layers);
|
|
283 |
int index = 0;
|
|
284 |
float height = 0.0f;
|
|
285 |
|
|
286 |
float[][] CENTERS = new float[numO+numT][3];
|
|
287 |
|
|
288 |
index = createOctahedrons(CENTERS,index,layers,height);
|
|
289 |
|
|
290 |
for(int i=layers-1; i>0; i--)
|
|
291 |
{
|
|
292 |
height += SQ2*DIST;
|
|
293 |
index = createOctahedrons(CENTERS,index,i,+height);
|
|
294 |
index = createOctahedrons(CENTERS,index,i,-height);
|
|
295 |
}
|
|
296 |
|
|
297 |
height = DIST*SQ2/2;
|
|
298 |
|
|
299 |
for(int i=layers; i>1; i--)
|
|
300 |
{
|
|
301 |
index = createTetrahedrons(CENTERS,index,i,+height);
|
|
302 |
index = createTetrahedrons(CENTERS,index,i,-height);
|
|
303 |
height += SQ2*DIST;
|
|
304 |
}
|
|
305 |
|
| 186 |
306 |
return CENTERS;
|
| 187 |
307 |
}
|
| 188 |
308 |
|
| 189 |
309 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
310 |
// TODO:
|
| 190 |
311 |
|
| 191 |
|
private Static4D getQuat(int cubit)
|
|
312 |
private int retFaceTetraBelongsTo(int tetra, int numLayers)
|
| 192 |
313 |
{
|
| 193 |
|
switch(cubit)
|
|
314 |
switch(tetra)
|
| 194 |
315 |
{
|
| 195 |
|
case 0:
|
| 196 |
|
case 1:
|
| 197 |
|
case 2:
|
| 198 |
|
case 3:
|
| 199 |
|
case 4:
|
| 200 |
|
case 5:
|
| 201 |
|
case 6: return QUATS[0]; // unit quat
|
| 202 |
|
case 7: return new Static4D(0,-SQ2/2,0,SQ2/2); // 90 along Y
|
| 203 |
|
case 8: return QUATS[1]; // 180 along Y
|
| 204 |
|
case 9: return new Static4D(0,+SQ2/2,0,SQ2/2); // 90 along Y
|
| 205 |
|
case 10: return new Static4D(0, 0,1, 0); // 180 along Z
|
| 206 |
|
case 11: return new Static4D(SQ2/2, 0,SQ2/2,0); //
|
| 207 |
|
case 12: return new Static4D( 1,0,0, 0); // 180 along X
|
| 208 |
|
case 13: return new Static4D(-SQ2/2,0,SQ2/2,0); //
|
|
316 |
case 0 : return 0;
|
|
317 |
case 1 : return 1;
|
|
318 |
case 2 : return 2;
|
|
319 |
case 3 : return 3;
|
|
320 |
case 4 : return 4;
|
|
321 |
case 5 : return 5;
|
|
322 |
case 6 : return 6;
|
|
323 |
case 7 : return 7;
|
|
324 |
default: return 8;
|
|
325 |
}
|
|
326 |
}
|
|
327 |
|
|
328 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
329 |
|
|
330 |
private Static4D getQuat(int cubit, int numLayers, int numO)
|
|
331 |
{
|
|
332 |
if( cubit<numO ) return QUATS[0];
|
|
333 |
|
|
334 |
switch( retFaceTetraBelongsTo(cubit-numO, numLayers) )
|
|
335 |
{
|
|
336 |
case 0: return new Static4D(0,-SQ2/2,0,SQ2/2); // 90 along Y
|
|
337 |
case 1: return QUATS[1]; // 180 along Y
|
|
338 |
case 2: return new Static4D(0,+SQ2/2,0,SQ2/2); // 90 along Y
|
|
339 |
case 3: return QUATS[0]; // unit quat
|
|
340 |
case 4: return new Static4D(SQ2/2, 0,SQ2/2,0); //
|
|
341 |
case 5: return new Static4D( 1,0,0, 0); // 180 along X
|
|
342 |
case 6: return new Static4D(-SQ2/2,0,SQ2/2,0); //
|
|
343 |
case 7: return new Static4D(0, 0,1, 0); // 180 along Z
|
| 209 |
344 |
}
|
| 210 |
345 |
|
| 211 |
346 |
return null;
|
| ... | ... | |
| 216 |
351 |
MeshBase createCubitMesh(int cubit, int numLayers)
|
| 217 |
352 |
{
|
| 218 |
353 |
MeshBase mesh;
|
|
354 |
int numO = getNumOctahedrons(numLayers);
|
| 219 |
355 |
|
| 220 |
|
if( cubit<6 )
|
|
356 |
if( cubit<numO )
|
| 221 |
357 |
{
|
| 222 |
358 |
if( mOctaMesh==null ) mOctaMesh = FactoryCubit.getInstance().createOctaMesh();
|
| 223 |
359 |
mesh = mOctaMesh.copy(true);
|
| ... | ... | |
| 228 |
364 |
mesh = mTetraMesh.copy(true);
|
| 229 |
365 |
}
|
| 230 |
366 |
|
| 231 |
|
MatrixEffectQuaternion quat = new MatrixEffectQuaternion( getQuat(cubit), new Static3D(0,0,0) );
|
|
367 |
Static4D sQ = getQuat(cubit,numLayers,numO);
|
|
368 |
MatrixEffectQuaternion quat = new MatrixEffectQuaternion( sQ, new Static3D(0,0,0) );
|
| 232 |
369 |
mesh.apply(quat,0xffffffff,0);
|
| 233 |
370 |
|
| 234 |
371 |
return mesh;
|
| 235 |
372 |
}
|
| 236 |
373 |
|
| 237 |
374 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
375 |
// TODO
|
| 238 |
376 |
|
| 239 |
|
int getFaceColor(int cubit, int cubitface, int size)
|
|
377 |
int getFaceColor(int cubit, int cubitface, int numLayers)
|
| 240 |
378 |
{
|
| 241 |
|
return mFaceMap[cubit][cubitface];
|
|
379 |
int numO = getNumOctahedrons(numLayers);
|
|
380 |
|
|
381 |
if( cubit<numO )
|
|
382 |
{
|
|
383 |
return mOctaFaceMap[cubit][cubitface];
|
|
384 |
}
|
|
385 |
else
|
|
386 |
{
|
|
387 |
return cubitface>0 ? 8 : mTetraFaceMap[retFaceTetraBelongsTo(cubit-numO, numLayers)];
|
|
388 |
}
|
| 242 |
389 |
}
|
| 243 |
390 |
|
| 244 |
391 |
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| ... | ... | |
| 266 |
413 |
|
| 267 |
414 |
float[] getRowChances(int numLayers)
|
| 268 |
415 |
{
|
| 269 |
|
float[] chances = new float[2];
|
|
416 |
float[] chances = new float[numLayers];
|
| 270 |
417 |
|
| 271 |
|
chances[0] = 0.5f;
|
| 272 |
|
chances[1] = 1.0f;
|
|
418 |
for(int i=0; i<numLayers; i++) chances[i] = ((float)(i+1))/numLayers;
|
| 273 |
419 |
|
| 274 |
420 |
return chances;
|
| 275 |
421 |
}
|
| ... | ... | |
| 373 |
519 |
// 2) cubits 7,13: can also be QUAT 4,8
|
| 374 |
520 |
// 3) cubits 8,10: can also be QUAT 7,11
|
| 375 |
521 |
// 4) cubits 9,11: can also be QUAT 5,9
|
|
522 |
// TODO
|
| 376 |
523 |
|
| 377 |
524 |
public boolean isSolved()
|
| 378 |
525 |
{
|
Progress making the Diamond class support any size.