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
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
|
/*
SuperCollider real time audio synthesis system
Copyright (c) 2002 James McCartney. All rights reserved.
http://www.audiosynth.com
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program 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 General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#ifndef _BinaryOpUGen_
#define _BinaryOpUGen_
#include "SC_BoundsMacros.h"
#include <math.h>
inline float sc_mod(float in, float hi)
{
// avoid the divide if possible
const float lo = (float)0.;
if (in >= hi) {
in -= hi;
if (in < hi) return in;
} else if (in < lo) {
in += hi;
if (in >= lo) return in;
} else return in;
if (hi == lo) return lo;
return in - hi*floor(in/hi);
}
inline double sc_mod(double in, double hi)
{
// avoid the divide if possible
const double lo = (double)0.;
if (in >= hi) {
in -= hi;
if (in < hi) return in;
} else if (in < lo) {
in += hi;
if (in >= lo) return in;
} else return in;
if (hi == lo) return lo;
return in - hi*floor(in/hi);
}
inline float sc_wrap(float in, float lo, float hi)
{
float range;
// avoid the divide if possible
if (in >= hi) {
range = hi - lo;
in -= range;
if (in < hi) return in;
} else if (in < lo) {
range = hi - lo;
in += range;
if (in >= lo) return in;
} else return in;
if (hi == lo) return lo;
return in - range * floor((in - lo)/range);
}
inline double sc_wrap(double in, double lo, double hi)
{
double range;
// avoid the divide if possible
if (in >= hi) {
range = hi - lo;
in -= range;
if (in < hi) return in;
} else if (in < lo) {
range = hi - lo;
in += range;
if (in >= lo) return in;
} else return in;
if (hi == lo) return lo;
return in - range * floor((in - lo)/range);
}
inline double sc_wrap(double in, double lo, double hi, double range)
{
// avoid the divide if possible
if (in >= hi) {
in -= range;
if (in < hi) return in;
} else if (in < lo) {
in += range;
if (in >= lo) return in;
} else return in;
if (hi == lo) return lo;
return in - range * floor((in - lo)/range);
}
inline double sc_wrap(float in, float lo, float hi, float range)
{
// avoid the divide if possible
if (in >= hi) {
in -= range;
if (in < hi) return in;
} else if (in < lo) {
in += range;
if (in >= lo) return in;
} else return in;
if (hi == lo) return lo;
return in - range * floor((in - lo)/range);
}
inline float sc_fold(float in, float lo, float hi)
{
float x, c, range, range2;
x = in - lo;
// avoid the divide if possible
if (in >= hi) {
in = hi + hi - in;
if (in >= lo) return in;
} else if (in < lo) {
in = lo + lo - in;
if (in < hi) return in;
} else return in;
if (hi == lo) return lo;
// ok do the divide
range = hi - lo;
range2 = range + range;
c = x - range2 * floor(x / range2);
if (c>=range) c = range2 - c;
return c + lo;
}
inline double sc_fold(double in, double lo, double hi)
{
double x, c, range, range2;
x = in - lo;
// avoid the divide if possible
if (in >= hi) {
in = hi + hi - in;
if (in >= lo) return in;
} else if (in < lo) {
in = lo + lo - in;
if (in < hi) return in;
} else return in;
if (hi == lo) return lo;
// ok do the divide
range = hi - lo;
range2 = range + range;
c = x - range2 * floor(x / range2);
if (c>=range) c = range2 - c;
return c + lo;
}
inline double sc_fold(float in, float lo, float hi, float range, float range2)
{
float x, c;
x = in - lo;
// avoid the divide if possible
if (in >= hi) {
in = hi + hi - in;
if (in >= lo) return in;
} else if (in < lo) {
in = lo + lo - in;
if (in < hi) return in;
} else return in;
if (hi == lo) return lo;
// ok do the divide
c = x - range2 * floor(x / range2);
if (c>=range) c = range2 - c;
return c + lo;
}
inline double sc_fold(double in, double lo, double hi, double range, double range2)
{
double x, c;
x = in - lo;
// avoid the divide if possible
if (in >= hi) {
in = hi + hi - in;
if (in >= lo) return in;
} else if (in < lo) {
in = lo + lo - in;
if (in < hi) return in;
} else return in;
if (hi == lo) return lo;
// ok do the divide
c = x - range2 * floor(x / range2);
if (c>=range) c = range2 - c;
return c + lo;
}
inline float sc_pow(float a, float b)
{
return a >= 0.f ? pow(a, b) : -pow(-a, b);
}
inline double sc_pow(double a, double b)
{
return a >= 0.f ? pow(a, b) : -pow(-a, b);
}
template <class T>
inline float sc_thresh(T a, T b)
{
return a < b ? (T)0 : a;
}
inline float sc_clip2(float a, float b)
{
return sc_clip(a, -b, b);
}
inline float sc_wrap2(float a, float b)
{
return sc_wrap(a, -b, b);
}
inline float sc_fold2(float a, float b)
{
return sc_fold(a, -b, b);
}
inline float sc_excess(float a, float b)
{
return a - sc_clip(a, -b, b);
}
inline float sc_round(float x, float quant)
{
return quant==0. ? x : floor(x/quant + .5f) * quant;
}
inline double sc_round(double x, double quant)
{
return quant==0. ? x : floor(x/quant + .5) * quant;
}
inline float sc_roundUp(float x, float quant)
{
return quant==0. ? x : ceil(x/quant) * quant;
}
inline double sc_roundUp(double x, double quant)
{
return quant==0. ? x : ceil(x/quant) * quant;
}
inline float sc_trunc(float x, float quant)
{
return quant==0. ? x : floor(x/quant) * quant;
}
inline double sc_trunc(double x, double quant)
{
return quant==0. ? x : floor(x/quant) * quant;
}
inline float sc_atan2(float a, float b)
{
return atan2(a, b);
}
inline float sc_scaleneg(float a, float b)
{
b = 0.5f * b + 0.5f;
return (fabs(a) - a) * b + a;
}
inline float sc_amclip(float a, float b)
{
return a * 0.5f * (b + fabs(b));
}
inline double sc_amclip(double a, double b)
{
return a * 0.5 * (b + fabs(b));
}
const float kFSQRT2M1 = sqrt(2.) - 1.;
const double kDSQRT2M1 = sqrt(2.) - 1.;
inline float sc_hypotx(float x, float y)
{
float minxy;
x = fabs(x);
y = fabs(y);
minxy = sc_min(x,y);
return x + y - kFSQRT2M1 * minxy;
}
inline double sc_hypotx(double x, double y)
{
double minxy;
x = fabs(x);
y = fabs(y);
minxy = sc_min(x,y);
return x + y - kDSQRT2M1 * minxy;
}
#pragma mark -
inline int sc_div(int a, int b)
{
int c;
if (b) {
if (a<0) c = (a+1)/b - 1;
else c = a/b;
} else c = a;
return c;
}
/*
inline int sc_mod(int a, int b)
{
long c;
c = a % b;
if (c<0) c += b;
return c;
}
*/
inline int sc_mod(int in, int hi)
{
// avoid the divide if possible
const int lo = 0;
if (in >= hi) {
in -= hi;
if (in < hi) return in;
} else if (in < lo) {
in += hi;
if (in >= lo) return in;
} else return in;
if (hi == lo) return lo;
int c;
c = in % hi;
if (c<0) c += hi;
return c;
}
inline int sc_wrap(int in, int lo, int hi)
{
return sc_mod(in - lo, hi - lo + 1) + lo;
}
inline int sc_clip2(int a, int b)
{
return sc_clip(a, -b, b);
}
inline int sc_wrap2(int a, int b)
{
return sc_wrap(a, -b, b);
}
inline int sc_fold(int in, int lo, int hi)
{
int b = hi - lo;
int b2 = b+b-2;
int c = sc_mod(in - lo, b2);
if (c>=b) c = b2-c;
return c + lo;
}
inline int sc_fold2(int a, int b)
{
return sc_fold(a, -b, b);
}
inline int sc_excess(int a, int b)
{
return a - sc_clip(a, -b, b);
}
inline int sc_gcd(int u, int v)
{
int t;
u = sc_abs(u);
v = sc_abs(v);
if (u <= 1 || v <= 1) return 1;
while (u>0) {
if (u<v) { t=u; u=v; v=t; }
u = u % v;
}
return v;
}
inline int sc_lcm(int u, int v)
{
return (u * v)/sc_gcd(u,v);
}
inline int sc_thresh(int a, int b)
{
return a < b ? 0 : a;
}
inline int sc_bitAnd(int a, int b)
{
return a & b;
}
inline int sc_bitOr(int a, int b)
{
return a | b;
}
inline int sc_leftShift(int a, int b)
{
return a << b;
}
inline int sc_rightShift(int a, int b)
{
return a >> b;
}
inline int sc_unsignedRightShift(int a, int b)
{
return (uint32)a >> b;
}
inline int sc_round(int x, int quant)
{
return quant==0 ? x : sc_div(x + quant/2, quant) * quant;
}
inline int sc_roundUp(int x, int quant)
{
return quant==0 ? x : sc_div(x + quant - 1, quant) * quant;
}
inline int sc_trunc(int x, int quant)
{
return quant==0 ? x : sc_div(x, quant) * quant;
}
#pragma mark -
#if 0
inline long sc_div(long a, long b)
{
int c;
if (b) {
if (a<0) c = (a+1)/b - 1;
else c = a/b;
} else c = a;
return c;
}
inline long sc_clip2(long a, long b)
{
return sc_clip(a, -b, b);
}
inline long sc_wrap(long in, long lo, long hi)
{
return sc_mod(in - lo, hi - lo + 1) + lo;
}
inline long sc_wrap2(long a, long b)
{
return sc_wrap(a, -b, b);
}
inline long sc_fold(long in, long lo, long hi)
{
long b = hi - lo;
long b2 = b+b-2;
long c = sc_mod(in - lo, b2);
if (c>=b) c = b2-c;
return c + lo;
}
inline long sc_fold2(long a, long b)
{
return sc_fold(a, -b, b);
}
inline long sc_thresh(long a, long b)
{
return a < b ? 0 : a;
}
inline long sc_bitAnd(long a, long b)
{
return a & b;
}
inline long sc_bitOr(long a, long b)
{
return a | b;
}
inline long sc_leftShift(long a, long b)
{
return a << b;
}
inline long sc_rightShift(long a, long b)
{
return a >> b;
}
inline long sc_unsignedRightShift(long a, long b)
{
return (unsigned long)a >> b;
}
inline long sc_gcd(long u, long v)
{
long t;
u = sc_abs(u);
v = sc_abs(v);
if (u <= 1 || v <= 1) return 1;
while (u>0) {
if (u<v) { t=u; u=v; v=t; }
u = u % v;
}
return v;
}
inline long sc_lcm(long u, long v)
{
return (u * v)/sc_gcd(u,v);
}
inline long sc_excess(long a, long b)
{
return a - sc_clip(a, -b, b);
}
inline long sc_round(long x, long quant)
{
return quant==0 ? x : sc_div(x + quant/2, quant) * quant;
}
#endif
#endif
|