|
1
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
2
|
// Copyright 2020 Leszek Koltunski //
|
|
3
|
// //
|
|
4
|
// This file is part of Magic Cube. //
|
|
5
|
// //
|
|
6
|
// Magic Cube is free software: you can redistribute it and/or modify //
|
|
7
|
// it under the terms of the GNU General Public License as published by //
|
|
8
|
// the Free Software Foundation, either version 2 of the License, or //
|
|
9
|
// (at your option) any later version. //
|
|
10
|
// //
|
|
11
|
// Magic Cube is distributed in the hope that it will be useful, //
|
|
12
|
// but WITHOUT ANY WARRANTY; without even the implied warranty of //
|
|
13
|
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the //
|
|
14
|
// GNU General Public License for more details. //
|
|
15
|
// //
|
|
16
|
// You should have received a copy of the GNU General Public License //
|
|
17
|
// along with Magic Cube. If not, see <http://www.gnu.org/licenses/>. //
|
|
18
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
19
|
|
|
20
|
package org.distorted.objects;
|
|
21
|
|
|
22
|
import android.content.res.Resources;
|
|
23
|
import android.graphics.Canvas;
|
|
24
|
import android.graphics.Paint;
|
|
25
|
|
|
26
|
import org.distorted.library.effect.MatrixEffectQuaternion;
|
|
27
|
import org.distorted.library.main.DistortedEffects;
|
|
28
|
import org.distorted.library.main.DistortedTexture;
|
|
29
|
import org.distorted.library.mesh.MeshBase;
|
|
30
|
import org.distorted.library.mesh.MeshSquare;
|
|
31
|
import org.distorted.library.type.Static3D;
|
|
32
|
import org.distorted.library.type.Static4D;
|
|
33
|
import org.distorted.main.RubikSurfaceView;
|
|
34
|
|
|
35
|
import java.util.Random;
|
|
36
|
|
|
37
|
import static org.distorted.effects.scramble.ScrambleEffect.START_AXIS;
|
|
38
|
|
|
39
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
40
|
|
|
41
|
public class TwistyRedi extends TwistyObject
|
|
42
|
{
|
|
43
|
private static final int FACES_PER_CUBIT =6;
|
|
44
|
|
|
45
|
// the four rotation axis of a RubikRedi. Must be normalized.
|
|
46
|
static final Static3D[] ROT_AXIS = new Static3D[]
|
|
47
|
{
|
|
48
|
new Static3D(+SQ3/3,+SQ3/3,+SQ3/3),
|
|
49
|
new Static3D(+SQ3/3,+SQ3/3,-SQ3/3),
|
|
50
|
new Static3D(+SQ3/3,-SQ3/3,+SQ3/3),
|
|
51
|
new Static3D(+SQ3/3,-SQ3/3,-SQ3/3)
|
|
52
|
};
|
|
53
|
|
|
54
|
private static final int[] FACE_COLORS = new int[]
|
|
55
|
{
|
|
56
|
COLOR_YELLOW, COLOR_WHITE,
|
|
57
|
COLOR_BLUE , COLOR_GREEN,
|
|
58
|
COLOR_RED , COLOR_BROWN
|
|
59
|
};
|
|
60
|
|
|
61
|
// All legal rotation quats of a RubikRedi
|
|
62
|
private static final Static4D[] QUATS = new Static4D[]
|
|
63
|
{
|
|
64
|
new Static4D( 0.0f, 0.0f, 0.0f, 1.0f ),
|
|
65
|
new Static4D( 1.0f, 0.0f, 0.0f, 0.0f ),
|
|
66
|
new Static4D( 0.0f, 1.0f, 0.0f, 0.0f ),
|
|
67
|
new Static4D( 0.0f, 0.0f, 1.0f, 0.0f ),
|
|
68
|
|
|
69
|
new Static4D( 0.5f, 0.5f, 0.5f, 0.5f ),
|
|
70
|
new Static4D( 0.5f, 0.5f, 0.5f, -0.5f ),
|
|
71
|
new Static4D( 0.5f, 0.5f, -0.5f, 0.5f ),
|
|
72
|
new Static4D( 0.5f, 0.5f, -0.5f, -0.5f ),
|
|
73
|
new Static4D( 0.5f, -0.5f, 0.5f, 0.5f ),
|
|
74
|
new Static4D( 0.5f, -0.5f, 0.5f, -0.5f ),
|
|
75
|
new Static4D( 0.5f, -0.5f, -0.5f, 0.5f ),
|
|
76
|
new Static4D( 0.5f, -0.5f, -0.5f, -0.5f )
|
|
77
|
};
|
|
78
|
|
|
79
|
private static final float DIST_CORNER = 1.0f;
|
|
80
|
private static final float DIST_EDGE = 1.5f;
|
|
81
|
|
|
82
|
// centers of the 8 corners + 12 edges ( i.e. of the all 20 cubits)
|
|
83
|
private static final Static3D[] CENTERS = new Static3D[]
|
|
84
|
{
|
|
85
|
new Static3D( DIST_CORNER, DIST_CORNER, DIST_CORNER ),
|
|
86
|
new Static3D( DIST_CORNER, DIST_CORNER,-DIST_CORNER ),
|
|
87
|
new Static3D( DIST_CORNER,-DIST_CORNER, DIST_CORNER ),
|
|
88
|
new Static3D( DIST_CORNER,-DIST_CORNER,-DIST_CORNER ),
|
|
89
|
new Static3D(-DIST_CORNER, DIST_CORNER, DIST_CORNER ),
|
|
90
|
new Static3D(-DIST_CORNER, DIST_CORNER,-DIST_CORNER ),
|
|
91
|
new Static3D(-DIST_CORNER,-DIST_CORNER, DIST_CORNER ),
|
|
92
|
new Static3D(-DIST_CORNER,-DIST_CORNER,-DIST_CORNER ),
|
|
93
|
|
|
94
|
new Static3D( 0.0f, DIST_EDGE, DIST_EDGE ),
|
|
95
|
new Static3D( DIST_EDGE, 0.0f, DIST_EDGE ),
|
|
96
|
new Static3D( 0.0f,-DIST_EDGE, DIST_EDGE ),
|
|
97
|
new Static3D(-DIST_EDGE, 0.0f, DIST_EDGE ),
|
|
98
|
new Static3D( DIST_EDGE, DIST_EDGE, 0.0f ),
|
|
99
|
new Static3D( DIST_EDGE,-DIST_EDGE, 0.0f ),
|
|
100
|
new Static3D(-DIST_EDGE,-DIST_EDGE, 0.0f ),
|
|
101
|
new Static3D(-DIST_EDGE, DIST_EDGE, 0.0f ),
|
|
102
|
new Static3D( 0.0f, DIST_EDGE,-DIST_EDGE ),
|
|
103
|
new Static3D( DIST_EDGE, 0.0f,-DIST_EDGE ),
|
|
104
|
new Static3D( 0.0f,-DIST_EDGE,-DIST_EDGE ),
|
|
105
|
new Static3D(-DIST_EDGE, 0.0f,-DIST_EDGE )
|
|
106
|
};
|
|
107
|
|
|
108
|
// Colors of the faces of cubits.
|
|
109
|
// YELLOW 0 WHITE 1 BLUE 2 GREEN 3 RED 4 BROWN 5
|
|
110
|
// YELLOW 6 WHITE 7 BLUE 8 GREEN 9 RED 10 BROWN 11
|
|
111
|
private static final int[][] mFaceMap = new int[][]
|
|
112
|
{
|
|
113
|
{ 4, 2, 0,12,12,12 },
|
|
114
|
{ 2, 5, 0,12,12,12 },
|
|
115
|
{ 3, 4, 0,12,12,12 },
|
|
116
|
{ 5, 3, 0,12,12,12 },
|
|
117
|
{ 1, 2, 4,12,12,12 },
|
|
118
|
{ 5, 2, 1,12,12,12 },
|
|
119
|
{ 4, 3, 1,12,12,12 },
|
|
120
|
{ 1, 3, 5,12,12,12 },
|
|
121
|
|
|
122
|
{ 10, 8,12,12,12,12 },
|
|
123
|
{ 6,10,12,12,12,12 },
|
|
124
|
{ 10, 9,12,12,12,12 },
|
|
125
|
{ 7,10,12,12,12,12 },
|
|
126
|
{ 8, 6,12,12,12,12 },
|
|
127
|
{ 9, 6,12,12,12,12 },
|
|
128
|
{ 9, 7,12,12,12,12 },
|
|
129
|
{ 8, 7,12,12,12,12 },
|
|
130
|
{ 11, 8,12,12,12,12 },
|
|
131
|
{ 6,11,12,12,12,12 },
|
|
132
|
{ 11, 9,12,12,12,12 },
|
|
133
|
{ 7,11,12,12,12,12 },
|
|
134
|
};
|
|
135
|
|
|
136
|
private static MeshBase mCornerMesh, mEdgeMesh;
|
|
137
|
|
|
138
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
139
|
|
|
140
|
TwistyRedi(int size, Static4D quat, DistortedTexture texture, MeshSquare mesh,
|
|
141
|
DistortedEffects effects, int[][] moves, Resources res, int scrWidth)
|
|
142
|
{
|
|
143
|
super(size, 60, quat, texture, mesh, effects, moves, ObjectList.REDI, res, scrWidth);
|
|
144
|
}
|
|
145
|
|
|
146
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
147
|
|
|
148
|
float getScreenRatio()
|
|
149
|
{
|
|
150
|
return 0.50f;
|
|
151
|
}
|
|
152
|
|
|
153
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
154
|
|
|
155
|
Static4D[] getQuats()
|
|
156
|
{
|
|
157
|
return QUATS;
|
|
158
|
}
|
|
159
|
|
|
160
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
161
|
|
|
162
|
int getNumFaces()
|
|
163
|
{
|
|
164
|
return FACE_COLORS.length;
|
|
165
|
}
|
|
166
|
|
|
167
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
168
|
|
|
169
|
boolean shouldResetTextureMaps()
|
|
170
|
{
|
|
171
|
return false;
|
|
172
|
}
|
|
173
|
|
|
174
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
175
|
|
|
176
|
int getNumStickerTypes()
|
|
177
|
{
|
|
178
|
return 2;
|
|
179
|
}
|
|
180
|
|
|
181
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
182
|
|
|
183
|
float getBasicStep()
|
|
184
|
{
|
|
185
|
return SQ3;
|
|
186
|
}
|
|
187
|
|
|
188
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
189
|
|
|
190
|
int getNumCubitFaces()
|
|
191
|
{
|
|
192
|
return FACES_PER_CUBIT;
|
|
193
|
}
|
|
194
|
|
|
195
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
196
|
|
|
197
|
Static3D[] getCubitPositions(int size)
|
|
198
|
{
|
|
199
|
return CENTERS;
|
|
200
|
}
|
|
201
|
|
|
202
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
203
|
|
|
204
|
private Static4D getQuat(int cubit)
|
|
205
|
{
|
|
206
|
switch(cubit)
|
|
207
|
{
|
|
208
|
case 0: return QUATS[0]; // unit quat
|
|
209
|
case 1: return new Static4D( SQ2/2,0,0,SQ2/2); // 90 along X
|
|
210
|
case 2: return new Static4D(-SQ2/2,0,0,SQ2/2); // -90 along X
|
|
211
|
case 3: return QUATS[1]; // 180 along X
|
|
212
|
case 4: return new Static4D(0, SQ2/2,0,SQ2/2); // 90 along Y
|
|
213
|
case 5: return QUATS[2]; // 180 along Y
|
|
214
|
case 6: return QUATS[3]; // 180 along Z
|
|
215
|
case 7: return new Static4D(SQ2/2,0,-SQ2/2,0); // 180 along (SQ2/2,0,-SQ2/2)
|
|
216
|
|
|
217
|
case 8: return QUATS[0];
|
|
218
|
case 9: return QUATS[5];
|
|
219
|
case 10: return QUATS[3];
|
|
220
|
case 11: return QUATS[11];
|
|
221
|
case 12: return QUATS[4];
|
|
222
|
case 13: return QUATS[7];
|
|
223
|
case 14: return QUATS[9];
|
|
224
|
case 15: return QUATS[10];
|
|
225
|
case 16: return QUATS[2];
|
|
226
|
case 17: return QUATS[8];
|
|
227
|
case 18: return QUATS[1];
|
|
228
|
case 19: return QUATS[6];
|
|
229
|
}
|
|
230
|
|
|
231
|
return null;
|
|
232
|
}
|
|
233
|
|
|
234
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
235
|
|
|
236
|
MeshBase createCubitMesh(int cubit)
|
|
237
|
{
|
|
238
|
MeshBase mesh;
|
|
239
|
|
|
240
|
if( cubit<8 )
|
|
241
|
{
|
|
242
|
if( mCornerMesh==null ) mCornerMesh = CubitFactory.getInstance().createRediCornerMesh();
|
|
243
|
mesh = mCornerMesh.copy(true);
|
|
244
|
}
|
|
245
|
else
|
|
246
|
{
|
|
247
|
if( mEdgeMesh==null ) mEdgeMesh = CubitFactory.getInstance().createRediEdgeMesh();
|
|
248
|
mesh = mEdgeMesh.copy(true);
|
|
249
|
}
|
|
250
|
|
|
251
|
MatrixEffectQuaternion quat = new MatrixEffectQuaternion( getQuat(cubit), new Static3D(0,0,0) );
|
|
252
|
mesh.apply(quat,0xffffffff,0);
|
|
253
|
|
|
254
|
return mesh;
|
|
255
|
}
|
|
256
|
|
|
257
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
258
|
|
|
259
|
int getFaceColor(int cubit, int cubitface, int size)
|
|
260
|
{
|
|
261
|
return mFaceMap[cubit][cubitface];
|
|
262
|
}
|
|
263
|
|
|
264
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
265
|
|
|
266
|
void createFaceTexture(Canvas canvas, Paint paint, int face, int left)
|
|
267
|
{
|
|
268
|
int COLORS = FACE_COLORS.length;
|
|
269
|
|
|
270
|
if( face<COLORS )
|
|
271
|
{
|
|
272
|
float F = 0.5f;
|
|
273
|
float R = 0.10f;
|
|
274
|
float S = 0.10f;
|
|
275
|
float[] vertices = { -F,-F, +F,-F, +F,+F, -F,+F};
|
|
276
|
|
|
277
|
drawRoundedPolygon(canvas, paint, left, vertices, S, FACE_COLORS[face], R);
|
|
278
|
}
|
|
279
|
else
|
|
280
|
{
|
|
281
|
float F = 0.25f;
|
|
282
|
float R = 0.05f;
|
|
283
|
float S = 0.05f;
|
|
284
|
float[] vertices = { -F,+F, -F,-F, 0, -2*F, +F,-F, +F,+F };
|
|
285
|
|
|
286
|
drawRoundedPolygon(canvas, paint, left, vertices, S, FACE_COLORS[face-COLORS], R);
|
|
287
|
}
|
|
288
|
}
|
|
289
|
|
|
290
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
291
|
|
|
292
|
float returnMultiplier()
|
|
293
|
{
|
|
294
|
return 2.0f;
|
|
295
|
}
|
|
296
|
|
|
297
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
298
|
|
|
299
|
float[] getRowChances()
|
|
300
|
{
|
|
301
|
float[] chances = new float[3];
|
|
302
|
|
|
303
|
chances[0] = 0.5f;
|
|
304
|
chances[1] = 0.5f;
|
|
305
|
chances[2] = 1.0f;
|
|
306
|
|
|
307
|
return chances;
|
|
308
|
}
|
|
309
|
|
|
310
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
311
|
// PUBLIC API
|
|
312
|
|
|
313
|
public Static3D[] getRotationAxis()
|
|
314
|
{
|
|
315
|
return ROT_AXIS;
|
|
316
|
}
|
|
317
|
|
|
318
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
319
|
|
|
320
|
public int getBasicAngle()
|
|
321
|
{
|
|
322
|
return 3;
|
|
323
|
}
|
|
324
|
|
|
325
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
326
|
|
|
327
|
public int randomizeNewRotAxis(Random rnd, int oldRotAxis)
|
|
328
|
{
|
|
329
|
int numAxis = ROTATION_AXIS.length;
|
|
330
|
|
|
331
|
if( oldRotAxis == START_AXIS )
|
|
332
|
{
|
|
333
|
return rnd.nextInt(numAxis);
|
|
334
|
}
|
|
335
|
else
|
|
336
|
{
|
|
337
|
int newVector = rnd.nextInt(numAxis-1);
|
|
338
|
return (newVector>=oldRotAxis ? newVector+1 : newVector);
|
|
339
|
}
|
|
340
|
}
|
|
341
|
|
|
342
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
343
|
|
|
344
|
public int randomizeNewRow(Random rnd, int oldRotAxis, int oldRow, int newRotAxis)
|
|
345
|
{
|
|
346
|
return (oldRotAxis==START_AXIS) ? (rnd.nextFloat()<=0.5f ? 0:2) : (oldRotAxis+newRotAxis==3 ? 2-oldRow : oldRow);
|
|
347
|
}
|
|
348
|
|
|
349
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
350
|
// remember about the double cover or unit quaternions!
|
|
351
|
|
|
352
|
private int mulQuat(int q1, int q2)
|
|
353
|
{
|
|
354
|
Static4D result = RubikSurfaceView.quatMultiply(QUATS[q1],QUATS[q2]);
|
|
355
|
|
|
356
|
float rX = result.get0();
|
|
357
|
float rY = result.get1();
|
|
358
|
float rZ = result.get2();
|
|
359
|
float rW = result.get3();
|
|
360
|
|
|
361
|
final float MAX_ERROR = 0.1f;
|
|
362
|
float dX,dY,dZ,dW;
|
|
363
|
|
|
364
|
for(int i=0; i<QUATS.length; i++)
|
|
365
|
{
|
|
366
|
dX = QUATS[i].get0() - rX;
|
|
367
|
dY = QUATS[i].get1() - rY;
|
|
368
|
dZ = QUATS[i].get2() - rZ;
|
|
369
|
dW = QUATS[i].get3() - rW;
|
|
370
|
|
|
371
|
if( dX<MAX_ERROR && dX>-MAX_ERROR &&
|
|
372
|
dY<MAX_ERROR && dY>-MAX_ERROR &&
|
|
373
|
dZ<MAX_ERROR && dZ>-MAX_ERROR &&
|
|
374
|
dW<MAX_ERROR && dW>-MAX_ERROR ) return i;
|
|
375
|
|
|
376
|
dX = QUATS[i].get0() + rX;
|
|
377
|
dY = QUATS[i].get1() + rY;
|
|
378
|
dZ = QUATS[i].get2() + rZ;
|
|
379
|
dW = QUATS[i].get3() + rW;
|
|
380
|
|
|
381
|
if( dX<MAX_ERROR && dX>-MAX_ERROR &&
|
|
382
|
dY<MAX_ERROR && dY>-MAX_ERROR &&
|
|
383
|
dZ<MAX_ERROR && dZ>-MAX_ERROR &&
|
|
384
|
dW<MAX_ERROR && dW>-MAX_ERROR ) return i;
|
|
385
|
}
|
|
386
|
|
|
387
|
return -1;
|
|
388
|
}
|
|
389
|
|
|
390
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
391
|
// The Redi is solved if and only if:
|
|
392
|
//
|
|
393
|
// ??
|
|
394
|
|
|
395
|
public boolean isSolved()
|
|
396
|
{
|
|
397
|
int q = CUBITS[0].mQuatIndex;
|
|
398
|
|
|
399
|
return ( CUBITS[ 1].mQuatIndex == q &&
|
|
400
|
CUBITS[ 2].mQuatIndex == q &&
|
|
401
|
CUBITS[ 3].mQuatIndex == q &&
|
|
402
|
CUBITS[ 4].mQuatIndex == q &&
|
|
403
|
CUBITS[ 5].mQuatIndex == q &&
|
|
404
|
CUBITS[ 6].mQuatIndex == q &&
|
|
405
|
CUBITS[ 7].mQuatIndex == q &&
|
|
406
|
CUBITS[ 8].mQuatIndex == q &&
|
|
407
|
CUBITS[ 9].mQuatIndex == q &&
|
|
408
|
CUBITS[10].mQuatIndex == q &&
|
|
409
|
CUBITS[11].mQuatIndex == q &&
|
|
410
|
CUBITS[12].mQuatIndex == q &&
|
|
411
|
CUBITS[13].mQuatIndex == q &&
|
|
412
|
CUBITS[14].mQuatIndex == q &&
|
|
413
|
CUBITS[15].mQuatIndex == q &&
|
|
414
|
CUBITS[16].mQuatIndex == q &&
|
|
415
|
CUBITS[17].mQuatIndex == q &&
|
|
416
|
CUBITS[18].mQuatIndex == q &&
|
|
417
|
CUBITS[19].mQuatIndex == q );
|
|
418
|
}
|
|
419
|
|
|
420
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
421
|
// only needed for solvers - there are no Redi solvers ATM)
|
|
422
|
|
|
423
|
public String retObjectString()
|
|
424
|
{
|
|
425
|
return "";
|
|
426
|
}
|
|
427
|
}
|