1
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
2
|
// Copyright 2019 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.object;
|
21
|
|
22
|
import android.graphics.Canvas;
|
23
|
import android.graphics.Paint;
|
24
|
|
25
|
import org.distorted.library.effect.MatrixEffect;
|
26
|
import org.distorted.library.effect.MatrixEffectMove;
|
27
|
import org.distorted.library.effect.MatrixEffectRotate;
|
28
|
import org.distorted.library.effect.MatrixEffectScale;
|
29
|
import org.distorted.library.main.DistortedEffects;
|
30
|
import org.distorted.library.main.DistortedTexture;
|
31
|
import org.distorted.library.mesh.MeshBase;
|
32
|
import org.distorted.library.mesh.MeshJoined;
|
33
|
import org.distorted.library.mesh.MeshRectangles;
|
34
|
import org.distorted.library.mesh.MeshTriangles;
|
35
|
import org.distorted.library.type.Static1D;
|
36
|
import org.distorted.library.type.Static3D;
|
37
|
import org.distorted.library.type.Static4D;
|
38
|
|
39
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
40
|
|
41
|
public class RubikPyraminx extends RubikObject
|
42
|
{
|
43
|
private static final float SQ2 = (float)Math.sqrt(2);
|
44
|
private static final float SQ3 = (float)Math.sqrt(3);
|
45
|
|
46
|
private static final Static3D[] AXIS = new Static3D[]
|
47
|
{
|
48
|
new Static3D( 0, 1, 0 ),
|
49
|
new Static3D( 0, -1.0f/3, 2*SQ2/3 ),
|
50
|
new Static3D(-SQ2*SQ3/3, -1.0f/3, -SQ2/3 ),
|
51
|
new Static3D( SQ2*SQ3/3, -1.0f/3, -SQ2/3 )
|
52
|
};
|
53
|
|
54
|
private static final int[] FACE_COLORS = new int[]
|
55
|
{
|
56
|
0xffffff00, 0xff00ff00, // AXIS[0]right (YELLOW) AXIS[1]right (GREEN )
|
57
|
0xff0000ff, 0xffff0000 // AXIS[2]right (BLUE ) AXIS[3]right (RED )
|
58
|
};
|
59
|
|
60
|
// computed with res/raw/compute_quats.c
|
61
|
private static final float[] LEGALQUATS = new float[]
|
62
|
{
|
63
|
0.0f, 1.0f, -1.0f, 0.5f, -0.5f, SQ2/2, -SQ2/2, SQ3/2, -SQ3/2,
|
64
|
SQ3/3, -SQ3/3, SQ3/6, -SQ3/6, SQ2*SQ3/3, -SQ2*SQ3/3, SQ2*SQ3/6, -SQ2*SQ3/6
|
65
|
};
|
66
|
|
67
|
private Static4D[] mRotArray;
|
68
|
|
69
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
70
|
|
71
|
RubikPyraminx(int size, Static4D quatCur, Static4D quatAcc, DistortedTexture texture, MeshRectangles mesh, DistortedEffects effects)
|
72
|
{
|
73
|
super(size,quatCur,quatAcc,texture,mesh,effects);
|
74
|
}
|
75
|
|
76
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
77
|
|
78
|
private void emitRow(float x, float y, float z, float dx, float dy, float dz, int n, Static4D rot, Static3D[] array, int index)
|
79
|
{
|
80
|
for(int i=0; i<n; i++)
|
81
|
{
|
82
|
mRotArray[i+index] = rot;
|
83
|
array[i+index] = new Static3D(x+0.5f,y+SQ2*SQ3/12,z+SQ3/6);
|
84
|
x += dx;
|
85
|
y += dy;
|
86
|
z += dz;
|
87
|
}
|
88
|
}
|
89
|
|
90
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
91
|
|
92
|
private int emitLowermost(float x, float y, float z, int n, Static3D[] array)
|
93
|
{
|
94
|
int added = 0;
|
95
|
|
96
|
for(int i=n; i>=1; i--)
|
97
|
{
|
98
|
emitRow(x,y,z, 1,0,0, i, null, array, added);
|
99
|
added += i;
|
100
|
x += 0.5f;
|
101
|
y += 0.0f;
|
102
|
z += SQ3/2;
|
103
|
}
|
104
|
|
105
|
return added;
|
106
|
}
|
107
|
|
108
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
109
|
|
110
|
private int emitUpper(float x, float y, float z, int n, Static3D[] array, int index)
|
111
|
{
|
112
|
if( n>1 )
|
113
|
{
|
114
|
emitRow(x,y,z, 1,0,0, n-1, null, array, index);
|
115
|
index += (n-1);
|
116
|
emitRow(x+0.5f,y,z+SQ3/2, 0.5f,0,SQ3/2, n-1, null, array, index);
|
117
|
index += (n-1);
|
118
|
emitRow( x+n-1,y,z, -0.5f, 0, SQ3/2, n-1, null, array, index);
|
119
|
index += (n-1);
|
120
|
}
|
121
|
else
|
122
|
{
|
123
|
mRotArray[index] = null;
|
124
|
array[index] = new Static3D(x+0.5f,y+SQ2*SQ3/12,z+SQ3/6);
|
125
|
index++;
|
126
|
}
|
127
|
|
128
|
return index;
|
129
|
}
|
130
|
|
131
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
132
|
// size^2 + 3*(size-1) in the lowermost layer, then 6*(size-2) in the next, 6*(size-3) in the next,
|
133
|
// ... 6 in the forelast, 1 in the last = 4size^2 - 6size +4 (if size>1)
|
134
|
|
135
|
Static3D[] getCubitPositions(int size)
|
136
|
{
|
137
|
int numCubits = size>1 ? 2*size*size-4*size+4:1;//4*size*size - 6*size +4 : 1;
|
138
|
Static3D[] tmp = new Static3D[numCubits];
|
139
|
mRotArray = new Static4D[numCubits];
|
140
|
|
141
|
int currentIndex = emitLowermost( -0.5f*size, -(SQ2*SQ3/12)*size, -(SQ3/6)*size, size, tmp);
|
142
|
|
143
|
for(int i=size-1; i>=1; i--)
|
144
|
{
|
145
|
currentIndex = emitUpper( -0.5f*i, ((SQ2*SQ3)/12)*(3*size-4*i), -(SQ3/6)*i, i, tmp, currentIndex);
|
146
|
}
|
147
|
|
148
|
return tmp;
|
149
|
}
|
150
|
|
151
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
152
|
|
153
|
float[] getLegalQuats()
|
154
|
{
|
155
|
return LEGALQUATS;
|
156
|
}
|
157
|
|
158
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
159
|
|
160
|
int getNumFaces()
|
161
|
{
|
162
|
return FACE_COLORS.length;
|
163
|
}
|
164
|
|
165
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
166
|
|
167
|
Static3D[] getRotationAxis()
|
168
|
{
|
169
|
return AXIS;
|
170
|
}
|
171
|
|
172
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
173
|
|
174
|
void createFaceTexture(Canvas canvas, Paint paint, int face)
|
175
|
{
|
176
|
int xoffset = face*TEXTURE_HEIGHT;
|
177
|
float STROKE = 0.05f*TEXTURE_HEIGHT;
|
178
|
float OFF = STROKE/2 -1;
|
179
|
float OFF2 = 0.5f*TEXTURE_HEIGHT + OFF;
|
180
|
float HEIGHT = TEXTURE_HEIGHT - OFF;
|
181
|
float RADIUS = TEXTURE_HEIGHT/12;
|
182
|
float ARC1_H = 0.2f*TEXTURE_HEIGHT;
|
183
|
float ARC1_W = TEXTURE_HEIGHT*0.5f;
|
184
|
float ARC2_W = 0.153f*TEXTURE_HEIGHT;
|
185
|
float ARC2_H = 0.905f*TEXTURE_HEIGHT;
|
186
|
float ARC3_W = TEXTURE_HEIGHT-ARC2_W;
|
187
|
|
188
|
paint.setAntiAlias(true);
|
189
|
paint.setStrokeWidth(STROKE);
|
190
|
paint.setColor(FACE_COLORS[face]);
|
191
|
paint.setStyle(Paint.Style.FILL);
|
192
|
|
193
|
canvas.drawRect(xoffset,0,xoffset+TEXTURE_HEIGHT,TEXTURE_HEIGHT,paint);
|
194
|
|
195
|
paint.setColor(0xff000000);
|
196
|
paint.setStyle(Paint.Style.STROKE);
|
197
|
|
198
|
canvas.drawLine( xoffset, HEIGHT, TEXTURE_HEIGHT +xoffset, HEIGHT, paint);
|
199
|
canvas.drawLine( OFF +xoffset, TEXTURE_HEIGHT, OFF2 +xoffset, 0, paint);
|
200
|
canvas.drawLine((TEXTURE_HEIGHT-OFF)+xoffset, TEXTURE_HEIGHT, (TEXTURE_HEIGHT-OFF2) +xoffset, 0, paint);
|
201
|
|
202
|
canvas.drawArc( ARC1_W-RADIUS+xoffset, ARC1_H-RADIUS, ARC1_W+RADIUS+xoffset, ARC1_H+RADIUS, 225, 90, false, paint);
|
203
|
canvas.drawArc( ARC2_W-RADIUS+xoffset, ARC2_H-RADIUS, ARC2_W+RADIUS+xoffset, ARC2_H+RADIUS, 105, 90, false, paint);
|
204
|
canvas.drawArc( ARC3_W-RADIUS+xoffset, ARC2_H-RADIUS, ARC3_W+RADIUS+xoffset, ARC2_H+RADIUS, 345, 90, false, paint);
|
205
|
}
|
206
|
|
207
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
208
|
|
209
|
MeshBase createCubitMesh(int vertices)
|
210
|
{
|
211
|
final float angleFaces = (float)((180/Math.PI)*(2*Math.asin(SQ3/3))); // angle between two faces of a tetrahedron
|
212
|
final int MESHES=4;
|
213
|
|
214
|
MeshBase[] meshes = new MeshTriangles[MESHES];
|
215
|
for(int i=0; i<MESHES; i++) meshes[i] = new MeshTriangles(5);
|
216
|
|
217
|
MatrixEffect[] effects0 = new MatrixEffect[3];
|
218
|
effects0[0] = new MatrixEffectScale( new Static3D(1,SQ3/2,1) );
|
219
|
effects0[1] = new MatrixEffectRotate( new Static1D(90), new Static3D(1,0,0), new Static3D(0,0,0) );
|
220
|
effects0[2] = new MatrixEffectMove( new Static3D(0,-SQ3/6,SQ3/12) );
|
221
|
|
222
|
meshes[0].apply(effects0);
|
223
|
|
224
|
Static1D angle = new Static1D(angleFaces);
|
225
|
Static3D axis = new Static3D(-1,0,0);
|
226
|
Static3D center= new Static3D(0,-SQ3/6,-SQ3/6);
|
227
|
|
228
|
MatrixEffect[] effects1 = new MatrixEffect[5];
|
229
|
effects1[0] = effects0[0];
|
230
|
effects1[1] = effects0[1];
|
231
|
effects1[2] = effects0[2];
|
232
|
effects1[3] = new MatrixEffectRotate( new Static1D(180), new Static3D(0,0,1), center );
|
233
|
effects1[4] = new MatrixEffectRotate( angle, axis, center );
|
234
|
meshes[1].apply(effects1);
|
235
|
|
236
|
axis.set(0.5f,0,-SQ3/2);
|
237
|
center.set2(SQ3/3);
|
238
|
meshes[2].apply(effects1);
|
239
|
|
240
|
axis.set2(SQ3/2);
|
241
|
meshes[3].apply(effects1);
|
242
|
|
243
|
return new MeshJoined(meshes);
|
244
|
}
|
245
|
|
246
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
247
|
// PUBLIC API
|
248
|
|
249
|
public int getBasicAngle()
|
250
|
{
|
251
|
return 3;
|
252
|
}
|
253
|
}
|