-
-
Notifications
You must be signed in to change notification settings - Fork 156
Expand file tree
/
Copy pathPMatrix2D.java
More file actions
523 lines (395 loc) · 12.1 KB
/
PMatrix2D.java
File metadata and controls
523 lines (395 loc) · 12.1 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
/* -*- mode: java; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
Part of the Processing project - http://processing.org
Copyright (c) 2005-08 Ben Fry and Casey Reas
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General
Public License along with this library; if not, write to the
Free Software Foundation, Inc., 59 Temple Place, Suite 330,
Boston, MA 02111-1307 USA
*/
package processing.core;
/**
* 3x2 affine matrix implementation.
* Matrices are used to describe a transformation; see {@link PMatrix} for a
* general description. This matrix looks like the following when multiplying
* a vector (x, y) in {@code mult()}.
* <pre>
* [m00 m01 m02][x] [m00*x + m01*y + m02*1] [x']
* [m10 m11 m12][y] = [m10*x + m11*y + m12*1] = [y']
* [ 0 0 1 ][1] [ 0*x + 0*y + 1*1 ] [ 1]</pre>
* (x', y') is returned. The values in the matrix determine the transformation.
* They are modified by the various transformation functions.
*/
public class PMatrix2D implements PMatrix {
public float m00, m01, m02;
public float m10, m11, m12;
/**
* Create a new matrix, set to the identity matrix.
*/
public PMatrix2D() {
reset();
}
public PMatrix2D(float m00, float m01, float m02,
float m10, float m11, float m12) {
set(m00, m01, m02,
m10, m11, m12);
}
public PMatrix2D(PMatrix matrix) {
set(matrix);
}
public void reset() {
set(1, 0, 0,
0, 1, 0);
}
/**
* Returns a copy of this PMatrix.
*/
public PMatrix2D get() {
PMatrix2D outgoing = new PMatrix2D();
outgoing.set(this);
return outgoing;
}
/**
* Copies the matrix contents into a 6 entry float array.
* If target is null (or not the correct size), a new array will be created.
* Returned in the order {@code {m00, m01, m02, m10, m11, m12}}.
*/
public float[] get(float[] target) {
if ((target == null) || (target.length != 6)) {
target = new float[6];
}
target[0] = m00;
target[1] = m01;
target[2] = m02;
target[3] = m10;
target[4] = m11;
target[5] = m12;
return target;
}
/**
* If matrix is a PMatrix2D, sets this matrix to be a copy of it.
* @throws IllegalArgumentException If <tt>matrix</tt> is not 2D.
*/
public void set(PMatrix matrix) {
if (matrix instanceof PMatrix2D) {
PMatrix2D src = (PMatrix2D) matrix;
set(src.m00, src.m01, src.m02,
src.m10, src.m11, src.m12);
} else {
throw new IllegalArgumentException("PMatrix2D.set() only accepts PMatrix2D objects.");
}
}
/**
* Unavailable in 2D. Does nothing.
*/
public void set(PMatrix3D src) {
}
public void set(float[] source) {
m00 = source[0];
m01 = source[1];
m02 = source[2];
m10 = source[3];
m11 = source[4];
m12 = source[5];
}
/**
* Sets the matrix content.
*/
public void set(float m00, float m01, float m02,
float m10, float m11, float m12) {
this.m00 = m00; this.m01 = m01; this.m02 = m02;
this.m10 = m10; this.m11 = m11; this.m12 = m12;
}
/**
* Unavailable in 2D. Does nothing.
*/
public void set(float m00, float m01, float m02, float m03,
float m10, float m11, float m12, float m13,
float m20, float m21, float m22, float m23,
float m30, float m31, float m32, float m33) {
}
public void translate(float tx, float ty) {
m02 = tx*m00 + ty*m01 + m02;
m12 = tx*m10 + ty*m11 + m12;
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void translate(float x, float y, float z) {
throw new IllegalArgumentException("Cannot use translate(x, y, z) on a PMatrix2D.");
}
// Implementation roughly based on AffineTransform.
public void rotate(float angle) {
float s = sin(angle);
float c = cos(angle);
float temp1 = m00;
float temp2 = m01;
m00 = c * temp1 + s * temp2;
m01 = -s * temp1 + c * temp2;
temp1 = m10;
temp2 = m11;
m10 = c * temp1 + s * temp2;
m11 = -s * temp1 + c * temp2;
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void rotateX(float angle) {
throw new IllegalArgumentException("Cannot use rotateX() on a PMatrix2D.");
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void rotateY(float angle) {
throw new IllegalArgumentException("Cannot use rotateY() on a PMatrix2D.");
}
public void rotateZ(float angle) {
rotate(angle);
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void rotate(float angle, float v0, float v1, float v2) {
throw new IllegalArgumentException("Cannot use this version of rotate() on a PMatrix2D.");
}
public void scale(float s) {
scale(s, s);
}
public void scale(float sx, float sy) {
m00 *= sx; m01 *= sy;
m10 *= sx; m11 *= sy;
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void scale(float x, float y, float z) {
throw new IllegalArgumentException("Cannot use this version of scale() on a PMatrix2D.");
}
public void shearX(float angle) {
apply(1, 0, 1, tan(angle), 0, 0);
}
public void shearY(float angle) {
apply(1, 0, 1, 0, tan(angle), 0);
}
public void apply(PMatrix source) {
if (source instanceof PMatrix2D) {
apply((PMatrix2D) source);
} else if (source instanceof PMatrix3D) {
apply((PMatrix3D) source);
}
}
public void apply(PMatrix2D source) {
apply(source.m00, source.m01, source.m02,
source.m10, source.m11, source.m12);
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void apply(PMatrix3D source) {
throw new IllegalArgumentException("Cannot use apply(PMatrix3D) on a PMatrix2D.");
}
public void apply(float n00, float n01, float n02,
float n10, float n11, float n12) {
float t0 = m00;
float t1 = m01;
m00 = n00 * t0 + n10 * t1;
m01 = n01 * t0 + n11 * t1;
m02 += n02 * t0 + n12 * t1;
t0 = m10;
t1 = m11;
m10 = n00 * t0 + n10 * t1;
m11 = n01 * t0 + n11 * t1;
m12 += n02 * t0 + n12 * t1;
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void apply(float n00, float n01, float n02, float n03,
float n10, float n11, float n12, float n13,
float n20, float n21, float n22, float n23,
float n30, float n31, float n32, float n33) {
throw new IllegalArgumentException("Cannot use this version of apply() on a PMatrix2D.");
}
/**
* Apply another matrix to the left of this one.
*/
public void preApply(PMatrix source) {
if (source instanceof PMatrix2D) {
preApply((PMatrix2D) source);
} else if (source instanceof PMatrix3D) {
preApply((PMatrix3D) source);
}
}
public void preApply(PMatrix2D left) {
preApply(left.m00, left.m01, left.m02,
left.m10, left.m11, left.m12);
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void preApply(PMatrix3D left) {
throw new IllegalArgumentException("Cannot use preApply(PMatrix3D) on a PMatrix2D.");
}
public void preApply(float n00, float n01, float n02,
float n10, float n11, float n12) {
float t0 = m02;
float t1 = m12;
n02 += t0 * n00 + t1 * n01;
n12 += t0 * n10 + t1 * n11;
m02 = n02;
m12 = n12;
t0 = m00;
t1 = m10;
m00 = t0 * n00 + t1 * n01;
m10 = t0 * n10 + t1 * n11;
t0 = m01;
t1 = m11;
m01 = t0 * n00 + t1 * n01;
m11 = t0 * n10 + t1 * n11;
}
/**
* Unavailable in 2D.
* @throws IllegalArgumentException
*/
public void preApply(float n00, float n01, float n02, float n03,
float n10, float n11, float n12, float n13,
float n20, float n21, float n22, float n23,
float n30, float n31, float n32, float n33) {
throw new IllegalArgumentException("Cannot use this version of preApply() on a PMatrix2D.");
}
//////////////////////////////////////////////////////////////
/**
* {@inheritDoc}
* Ignores any z component.
*/
public PVector mult(PVector source, PVector target) {
if (target == null) {
target = new PVector();
}
target.x = m00*source.x + m01*source.y + m02;
target.y = m10*source.x + m11*source.y + m12;
return target;
}
/**
* Multiply a two element vector against this matrix.
* If out is null or not length four, a new float array will be returned.
* The values for vec and out can be the same (though that's less efficient).
*/
public float[] mult(float[] vec, float[] out) {
if (out == null || out.length != 2) {
out = new float[2];
}
if (vec == out) {
float tx = m00*vec[0] + m01*vec[1] + m02;
float ty = m10*vec[0] + m11*vec[1] + m12;
out[0] = tx;
out[1] = ty;
} else {
out[0] = m00*vec[0] + m01*vec[1] + m02;
out[1] = m10*vec[0] + m11*vec[1] + m12;
}
return out;
}
/**
* Returns the x-coordinate of the result of multiplying the point (x, y)
* by this matrix.
*/
public float multX(float x, float y) {
return m00*x + m01*y + m02;
}
/**
* Returns the y-coordinate of the result of multiplying the point (x, y)
* by this matrix.
*/
public float multY(float x, float y) {
return m10*x + m11*y + m12;
}
/**
* Unavailable in 2D. Does nothing.
*/
public void transpose() {
}
/*
* Implementation stolen from OpenJDK.
*/
public boolean invert() {
float determinant = determinant();
if (Math.abs(determinant) <= Float.MIN_VALUE) {
return false;
}
float t00 = m00;
float t01 = m01;
float t02 = m02;
float t10 = m10;
float t11 = m11;
float t12 = m12;
m00 = t11 / determinant;
m10 = -t10 / determinant;
m01 = -t01 / determinant;
m11 = t00 / determinant;
m02 = (t01 * t12 - t11 * t02) / determinant;
m12 = (t10 * t02 - t00 * t12) / determinant;
return true;
}
/**
* @return the determinant of the matrix
*/
public float determinant() {
return m00 * m11 - m01 * m10;
}
//////////////////////////////////////////////////////////////
@Override
public void print() {
System.out.print(toString());
}
@Override
public String toString() {
return PApplet.nfs(m00, 1, 4) + " " + PApplet.nfs(m01, 1, 4) + " " + PApplet.nfs(m02, 1, 4) + "\n" +
PApplet.nfs(m10, 1, 4) + " " + PApplet.nfs(m11, 1, 4) + " " + PApplet.nfs(m12, 1, 4) + "\n";
}
//////////////////////////////////////////////////////////////
// TODO these need to be added as regular API, but the naming and
// implementation needs to be improved first. (e.g. actually keeping track
// of whether the matrix is in fact identity internally.)
protected boolean isIdentity() {
return ((m00 == 1) && (m01 == 0) && (m02 == 0) &&
(m10 == 0) && (m11 == 1) && (m12 == 0));
}
// TODO make this more efficient, or move into PMatrix2D
protected boolean isWarped() {
return ((m00 != 1) || (m01 != 0) &&
(m10 != 0) || (m11 != 1));
}
//////////////////////////////////////////////////////////////
static private final float max(float a, float b) {
return (a > b) ? a : b;
}
static private final float abs(float a) {
return (a < 0) ? -a : a;
}
static private final float sin(float angle) {
return (float)Math.sin(angle);
}
static private final float cos(float angle) {
return (float)Math.cos(angle);
}
static private final float tan(float angle) {
return (float)Math.tan(angle);
}
}