forked from RobTillaart/Arduino
-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathfunctionGenerator.cpp
More file actions
428 lines (341 loc) · 7.98 KB
/
Copy pathfunctionGenerator.cpp
File metadata and controls
428 lines (341 loc) · 7.98 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
//
// FILE: functionGenerator.cpp
// AUTHOR: Rob Tillaart
// VERSION: 0.2.5
// PURPOSE: wave form generating functions (use with care)
// URL: https://github.com/RobTillaart/FunctionGenerator
#include "functionGenerator.h"
funcgen::funcgen(float period, float amplitude, float phase, float yShift)
{
setPeriod(period);
setAmplitude(amplitude);
setPhase(phase);
setYShift(yShift);
setDutyCycle(50); // TODO param?
}
/////////////////////////////////////////////////////////////
//
// CONFIGURATION
//
void funcgen::setPeriod(float period)
{
_period = period;
_freq1 = 1 / period;
_freq2 = 2 * _freq1;
_freq4 = 4 * _freq1;
_freq0 = TWO_PI * _freq1;
}
float funcgen::getPeriod()
{
return _period;
}
void funcgen::setFrequency(float freq)
{
setPeriod(1.0 / freq);
}
float funcgen::getFrequency()
{
return _freq1;
}
void funcgen::setAmplitude(float ampl)
{
_amplitude = ampl;
}
float funcgen::getAmplitude()
{
return _amplitude;
}
void funcgen::setPhase(float phase)
{
_phase = phase;
}
float funcgen::getPhase()
{
return _phase;
}
void funcgen::setYShift(float yShift)
{
_yShift = yShift;
}
float funcgen::getYShift()
{
return _yShift;
}
void funcgen::setDutyCycle(float dutyCycle)
{
// negative dutyCycle? => 1-dc? or abs()?
if (dutyCycle < 0) _dutyCycle = 0.0;
else if (dutyCycle > 100) _dutyCycle = 1.0;
else _dutyCycle = dutyCycle * 0.01;
}
float funcgen::getDutyCycle()
{
return _dutyCycle * 100.0;
}
void funcgen::setRandomSeed(uint32_t a, uint32_t b)
{
// prevent zero loops in random() function.
if (a == 0) a = 123;
if (b == 0) b = 456;
_m_w = a;
_m_z = b;
}
/////////////////////////////////////////////////////////////
//
// FUNCTIONS
//
float funcgen::line()
{
return _yShift + _amplitude;
}
float funcgen::zero()
{
return 0;
}
float funcgen::sawtooth(float t, uint8_t mode)
{
float rv;
t += _phase;
if (t >= 0.0)
{
t = fmod(t, _period);
if (mode == 1) t = _period - t;
rv = _amplitude * (-1.0 + t *_freq2);
}
else
{
t = -t;
t = fmod(t, _period);
if (mode == 1) t = _period - t;
rv = _amplitude * ( 1.0 - t * _freq2);
}
rv += _yShift;
return rv;
}
float funcgen::triangle(float t)
{
float rv;
t += _phase;
if (t < 0.0)
{
t = -t;
}
t = fmod(t, _period);
if (t < (_period * _dutyCycle))
{
rv = _amplitude * (-1.0 + t * _freq2 / _dutyCycle);
}
else
{
// mirror math
t = _period - t;
rv = _amplitude * (-1.0 + t * _freq2 /(1 - _dutyCycle));
}
rv += _yShift;
return rv;
}
float funcgen::square(float t)
{
float rv;
t += _phase;
if (t >= 0)
{
t = fmod(t, _period);
if (t < (_period * _dutyCycle)) rv = _amplitude;
else rv = -_amplitude;
}
else
{
t = -t;
t = fmod(t, _period);
if (t < (_period * _dutyCycle)) rv = -_amplitude;
else rv = _amplitude;
}
rv += _yShift;
return rv;
}
float funcgen::sinus(float t)
{
float rv;
t += _phase;
rv = _amplitude * sin(t * _freq0);
rv += _yShift;
return rv;
}
float funcgen::stair(float t, uint16_t steps, uint8_t mode)
{
t += _phase;
if (t >= 0)
{
t = fmod(t, _period);
if (mode == 1) t = _period - t;
int level = steps * t / _period;
return _yShift + _amplitude * (-1.0 + 2.0 * level / (steps - 1));
}
t = -t;
t = fmod(t, _period);
if (mode == 1) t = _period - t;
int level = steps * t / _period;
return _yShift + _amplitude * (1.0 - 2.0 * level / (steps - 1));
}
float funcgen::random()
{
float rv = _yShift + _amplitude * _random() * 0.2328306436E-9; // div 0xFFFFFFFF
return rv;
}
// duty cycle variant takes more than twice as much time.
float funcgen::random_DC()
{
static float rv = 0;
float next = _yShift + _amplitude * _random() * 0.2328306436E-9; // div 0xFFFFFFFF
rv += (next - rv) * _dutyCycle;
return rv;
}
// An example of a simple pseudo-random number generator is the
// Multiply-with-carry method invented by George Marsaglia.
// two initializers (not null)
uint32_t funcgen::_random()
{
_m_z = 36969L * (_m_z & 65535L) + (_m_z >> 16);
_m_w = 18000L * (_m_w & 65535L) + (_m_w >> 16);
return (_m_z << 16) + _m_w; /* 32-bit result */
}
/////////////////////////////////////////////////////////////
//
// INTEGER VERSIONS FOR 8 BIT DAC
//
// 8 bits version
// t = 0..9999 period 10000 in millis, returns 0..255
/*
uint8_t ifgsaw(uint16_t t, uint16_t period = 1000)
{
return 255L * t / period;
}
uint8_t ifgtri(uint16_t t, uint16_t period = 1000)
{
if (t * 2 < period) return 510L * t / period;
return 255L - 510L * t / period;
}
uint8_t ifgsqr(uint16_t t, uint16_t period = 1000)
{
if (t * 2 < period) return 510L * t / period;
return 255L - 510L * t / period;
}
uint8_t ifgsin(uint16_t t, uint16_t period = 1000)
{
return sin(355L * t / period / 113); // LUT
}
uint8_t ifgstr(uint16_t t, uint16_t period = 1000, uint16_t steps = 8)
{
int level = 1L * steps * t / period;
return 255L * level / (steps - 1);
}
*/
/////////////////////////////////////////////////////////////
//
// SIMPLE float ONES
//
// t = 0..period
// period = 0.001 ... 10000 ?
/*
float fgsaw(float t, float period = 1.0)
{
if (t >= 0) return -1.0 + 2 * t / period;
return 1.0 + 2 * t / period;
}
float fgtri(float t, float period = 1.0)
{
if (t < 0) t = -t;
if (t * 2 < period) return -1.0 + 4 * t / period;
return 3.0 - 4 * t / period;
}
float fgsqr(float t, float period = 1.0)
{
if (t >= 0)
{
if ( 2 * t < period) return 1.0;
return -1.0;
}
t = -t;
if (2 * t < period) return -1.0;
return 1.0;
}
float fgsin(float t, float period = 1.0)
{
return sin(TWO_PI * t / period);
}
float fgstr(float t, float period = 1.0, uint16_t steps = 8)
{
if (t >= 0)
{
int level = steps * t / period;
return -1.0 + 2.0 * level / (steps - 1);
}
t = -t;
int level = steps * t / period;
return 1.0 - 2.0 * level / (steps - 1);
}
*/
/////////////////////////////////////////////////////////////
//
// FULL floatS ONES
//
float fgsaw(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0)
{
t += phase;
if (t >= 0)
{
if (t >= period) t = fmod(t, period);
return yShift + amplitude * (-1.0 + 2 * t / period);
}
t = -t;
if (t >= period) t = fmod(t, period);
return yShift + amplitude * ( 1.0 - 2 * t / period);
}
float fgtri(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0, float dutyCycle = 0.50)
{
t += phase;
if (t < 0) t = -t;
if (t >= period) t = fmod(t, period);
// 50 % dutyCycle = faster
// if (t * 2 < period) return yShift + amplitude * (-1.0 + 4 * t / period);
// return yShift + amplitude * (3.0 - 4 * t / period);
if (t < dutyCycle * period) return yShift + amplitude * (-1.0 + 2 * t / (dutyCycle * period));
// return yShift + amplitude * (-1.0 + 2 / (1 - dutyCycle) - 2 * t / ((1 - dutyCycle) * period));
return yShift + amplitude * (-1.0 + 2 / (1 - dutyCycle) * ( 1 - t / period));
}
float fgsqr(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0, float dutyCycle = 0.50)
{
t += phase;
if (t >= 0)
{
if (t >= period) t = fmod(t, period);
if (t < dutyCycle * period) return yShift + amplitude;
return yShift - amplitude;
}
t = -t;
if (t >= period) t = fmod(t, period);
if (t < dutyCycle * period) return yShift - amplitude;
return yShift + amplitude;
}
float fgsin(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0)
{
t += phase;
float rv = yShift + amplitude * sin(TWO_PI * t / period);
return rv;
}
float fgstr(float t, float period = 1.0, float amplitude = 1.0, float phase = 0.0, float yShift = 0.0, uint16_t steps = 8)
{
t += phase;
if (t >= 0)
{
if (t >= period) t = fmod(t, period);
int level = steps * t / period;
return yShift + amplitude * (-1.0 + 2.0 * level / (steps - 1));
}
t = -t;
if (t >= period) t = fmod(t, period);
int level = steps * t / period;
return yShift + amplitude * (1.0 - 2.0 * level / (steps - 1));
}
// -- END OF FILE --