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
|
/*
* Copyright (C) 2011 Google Inc. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of Apple Computer, Inc. ("Apple") nor the names of
* its contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY APPLE AND ITS CONTRIBUTORS "AS IS" AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL APPLE OR ITS CONTRIBUTORS BE LIABLE FOR ANY
* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "DynamicsCompressorKernel.h"
#include "DenormalDisabler.h"
#include <algorithm>
#include <cmath>
#include "mozilla/FloatingPoint.h"
#include "WebAudioUtils.h"
using namespace std;
using namespace mozilla::dom; // for WebAudioUtils
using mozilla::IsInfinite;
using mozilla::IsNaN;
using mozilla::MakeUnique;
namespace WebCore {
// Metering hits peaks instantly, but releases this fast (in seconds).
const float meteringReleaseTimeConstant = 0.325f;
const float uninitializedValue = -1;
DynamicsCompressorKernel::DynamicsCompressorKernel(float sampleRate, unsigned numberOfChannels)
: m_sampleRate(sampleRate)
, m_lastPreDelayFrames(DefaultPreDelayFrames)
, m_preDelayReadIndex(0)
, m_preDelayWriteIndex(DefaultPreDelayFrames)
, m_ratio(uninitializedValue)
, m_slope(uninitializedValue)
, m_linearThreshold(uninitializedValue)
, m_dbThreshold(uninitializedValue)
, m_dbKnee(uninitializedValue)
, m_kneeThreshold(uninitializedValue)
, m_kneeThresholdDb(uninitializedValue)
, m_ykneeThresholdDb(uninitializedValue)
, m_K(uninitializedValue)
{
setNumberOfChannels(numberOfChannels);
// Initializes most member variables
reset();
m_meteringReleaseK =
static_cast<float>(WebAudioUtils::DiscreteTimeConstantForSampleRate(meteringReleaseTimeConstant, sampleRate));
}
size_t DynamicsCompressorKernel::sizeOfExcludingThis(mozilla::MallocSizeOf aMallocSizeOf) const
{
size_t amount = 0;
amount += m_preDelayBuffers.ShallowSizeOfExcludingThis(aMallocSizeOf);
for (size_t i = 0; i < m_preDelayBuffers.Length(); i++) {
amount += aMallocSizeOf(m_preDelayBuffers[i].get());
}
return amount;
}
void DynamicsCompressorKernel::setNumberOfChannels(unsigned numberOfChannels)
{
if (m_preDelayBuffers.Length() == numberOfChannels)
return;
m_preDelayBuffers.Clear();
for (unsigned i = 0; i < numberOfChannels; ++i)
m_preDelayBuffers.AppendElement(MakeUnique<float[]>(MaxPreDelayFrames));
}
void DynamicsCompressorKernel::setPreDelayTime(float preDelayTime)
{
// Re-configure look-ahead section pre-delay if delay time has changed.
unsigned preDelayFrames = preDelayTime * sampleRate();
if (preDelayFrames > MaxPreDelayFrames - 1)
preDelayFrames = MaxPreDelayFrames - 1;
if (m_lastPreDelayFrames != preDelayFrames) {
m_lastPreDelayFrames = preDelayFrames;
for (unsigned i = 0; i < m_preDelayBuffers.Length(); ++i)
memset(m_preDelayBuffers[i].get(), 0, sizeof(float) * MaxPreDelayFrames);
m_preDelayReadIndex = 0;
m_preDelayWriteIndex = preDelayFrames;
}
}
// Exponential curve for the knee.
// It is 1st derivative matched at m_linearThreshold and asymptotically approaches the value m_linearThreshold + 1 / k.
float DynamicsCompressorKernel::kneeCurve(float x, float k)
{
// Linear up to threshold.
if (x < m_linearThreshold)
return x;
return m_linearThreshold + (1 - expf(-k * (x - m_linearThreshold))) / k;
}
// Full compression curve with constant ratio after knee.
float DynamicsCompressorKernel::saturate(float x, float k)
{
float y;
if (x < m_kneeThreshold)
y = kneeCurve(x, k);
else {
// Constant ratio after knee.
float xDb = WebAudioUtils::ConvertLinearToDecibels(x, -1000.0f);
float yDb = m_ykneeThresholdDb + m_slope * (xDb - m_kneeThresholdDb);
y = WebAudioUtils::ConvertDecibelsToLinear(yDb);
}
return y;
}
// Approximate 1st derivative with input and output expressed in dB.
// This slope is equal to the inverse of the compression "ratio".
// In other words, a compression ratio of 20 would be a slope of 1/20.
float DynamicsCompressorKernel::slopeAt(float x, float k)
{
if (x < m_linearThreshold)
return 1;
float x2 = x * 1.001;
float xDb = WebAudioUtils::ConvertLinearToDecibels(x, -1000.0f);
float x2Db = WebAudioUtils::ConvertLinearToDecibels(x2, -1000.0f);
float yDb = WebAudioUtils::ConvertLinearToDecibels(kneeCurve(x, k), -1000.0f);
float y2Db = WebAudioUtils::ConvertLinearToDecibels(kneeCurve(x2, k), -1000.0f);
float m = (y2Db - yDb) / (x2Db - xDb);
return m;
}
float DynamicsCompressorKernel::kAtSlope(float desiredSlope)
{
float xDb = m_dbThreshold + m_dbKnee;
float x = WebAudioUtils::ConvertDecibelsToLinear(xDb);
// Approximate k given initial values.
float minK = 0.1f;
float maxK = 10000;
float k = 5;
for (int i = 0; i < 15; ++i) {
// A high value for k will more quickly asymptotically approach a slope of 0.
float slope = slopeAt(x, k);
if (slope < desiredSlope) {
// k is too high.
maxK = k;
} else {
// k is too low.
minK = k;
}
// Re-calculate based on geometric mean.
k = sqrtf(minK * maxK);
}
return k;
}
float DynamicsCompressorKernel::updateStaticCurveParameters(float dbThreshold, float dbKnee, float ratio)
{
if (dbThreshold != m_dbThreshold || dbKnee != m_dbKnee || ratio != m_ratio) {
// Threshold and knee.
m_dbThreshold = dbThreshold;
m_linearThreshold = WebAudioUtils::ConvertDecibelsToLinear(dbThreshold);
m_dbKnee = dbKnee;
// Compute knee parameters.
m_ratio = ratio;
m_slope = 1 / m_ratio;
float k = kAtSlope(1 / m_ratio);
m_kneeThresholdDb = dbThreshold + dbKnee;
m_kneeThreshold = WebAudioUtils::ConvertDecibelsToLinear(m_kneeThresholdDb);
m_ykneeThresholdDb = WebAudioUtils::ConvertLinearToDecibels(kneeCurve(m_kneeThreshold, k), -1000.0f);
m_K = k;
}
return m_K;
}
void DynamicsCompressorKernel::process(float* sourceChannels[],
float* destinationChannels[],
unsigned numberOfChannels,
unsigned framesToProcess,
float dbThreshold,
float dbKnee,
float ratio,
float attackTime,
float releaseTime,
float preDelayTime,
float dbPostGain,
float effectBlend, /* equal power crossfade */
float releaseZone1,
float releaseZone2,
float releaseZone3,
float releaseZone4
)
{
MOZ_ASSERT(m_preDelayBuffers.Length() == numberOfChannels);
float sampleRate = this->sampleRate();
float dryMix = 1 - effectBlend;
float wetMix = effectBlend;
float k = updateStaticCurveParameters(dbThreshold, dbKnee, ratio);
// Makeup gain.
float fullRangeGain = saturate(1, k);
float fullRangeMakeupGain = 1 / fullRangeGain;
// Empirical/perceptual tuning.
fullRangeMakeupGain = powf(fullRangeMakeupGain, 0.6f);
float masterLinearGain = WebAudioUtils::ConvertDecibelsToLinear(dbPostGain) * fullRangeMakeupGain;
// Attack parameters.
attackTime = max(0.001f, attackTime);
float attackFrames = attackTime * sampleRate;
// Release parameters.
float releaseFrames = sampleRate * releaseTime;
// Detector release time.
float satReleaseTime = 0.0025f;
float satReleaseFrames = satReleaseTime * sampleRate;
// Create a smooth function which passes through four points.
// Polynomial of the form
// y = a + b*x + c*x^2 + d*x^3 + e*x^4;
float y1 = releaseFrames * releaseZone1;
float y2 = releaseFrames * releaseZone2;
float y3 = releaseFrames * releaseZone3;
float y4 = releaseFrames * releaseZone4;
// All of these coefficients were derived for 4th order polynomial curve fitting where the y values
// match the evenly spaced x values as follows: (y1 : x == 0, y2 : x == 1, y3 : x == 2, y4 : x == 3)
float kA = 0.9999999999999998f*y1 + 1.8432219684323923e-16f*y2 - 1.9373394351676423e-16f*y3 + 8.824516011816245e-18f*y4;
float kB = -1.5788320352845888f*y1 + 2.3305837032074286f*y2 - 0.9141194204840429f*y3 + 0.1623677525612032f*y4;
float kC = 0.5334142869106424f*y1 - 1.272736789213631f*y2 + 0.9258856042207512f*y3 - 0.18656310191776226f*y4;
float kD = 0.08783463138207234f*y1 - 0.1694162967925622f*y2 + 0.08588057951595272f*y3 - 0.00429891410546283f*y4;
float kE = -0.042416883008123074f*y1 + 0.1115693827987602f*y2 - 0.09764676325265872f*y3 + 0.028494263462021576f*y4;
// x ranges from 0 -> 3 0 1 2 3
// -15 -10 -5 0db
// y calculates adaptive release frames depending on the amount of compression.
setPreDelayTime(preDelayTime);
const int nDivisionFrames = 32;
const int nDivisions = framesToProcess / nDivisionFrames;
unsigned frameIndex = 0;
for (int i = 0; i < nDivisions; ++i) {
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Calculate desired gain
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Fix gremlins.
if (IsNaN(m_detectorAverage))
m_detectorAverage = 1;
if (IsInfinite(m_detectorAverage))
m_detectorAverage = 1;
float desiredGain = m_detectorAverage;
// Pre-warp so we get desiredGain after sin() warp below.
float scaledDesiredGain = asinf(desiredGain) / (0.5f * M_PI);
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Deal with envelopes
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// envelopeRate is the rate we slew from current compressor level to the desired level.
// The exact rate depends on if we're attacking or releasing and by how much.
float envelopeRate;
bool isReleasing = scaledDesiredGain > m_compressorGain;
// compressionDiffDb is the difference between current compression level and the desired level.
float compressionDiffDb = WebAudioUtils::ConvertLinearToDecibels(m_compressorGain / scaledDesiredGain, -1000.0f);
if (isReleasing) {
// Release mode - compressionDiffDb should be negative dB
m_maxAttackCompressionDiffDb = -1;
// Fix gremlins.
if (IsNaN(compressionDiffDb))
compressionDiffDb = -1;
if (IsInfinite(compressionDiffDb))
compressionDiffDb = -1;
// Adaptive release - higher compression (lower compressionDiffDb) releases faster.
// Contain within range: -12 -> 0 then scale to go from 0 -> 3
float x = compressionDiffDb;
x = max(-12.0f, x);
x = min(0.0f, x);
x = 0.25f * (x + 12);
// Compute adaptive release curve using 4th order polynomial.
// Normal values for the polynomial coefficients would create a monotonically increasing function.
float x2 = x * x;
float x3 = x2 * x;
float x4 = x2 * x2;
float releaseFrames = kA + kB * x + kC * x2 + kD * x3 + kE * x4;
#define kSpacingDb 5
float dbPerFrame = kSpacingDb / releaseFrames;
envelopeRate = WebAudioUtils::ConvertDecibelsToLinear(dbPerFrame);
} else {
// Attack mode - compressionDiffDb should be positive dB
// Fix gremlins.
if (IsNaN(compressionDiffDb))
compressionDiffDb = 1;
if (IsInfinite(compressionDiffDb))
compressionDiffDb = 1;
// As long as we're still in attack mode, use a rate based off
// the largest compressionDiffDb we've encountered so far.
if (m_maxAttackCompressionDiffDb == -1 || m_maxAttackCompressionDiffDb < compressionDiffDb)
m_maxAttackCompressionDiffDb = compressionDiffDb;
float effAttenDiffDb = max(0.5f, m_maxAttackCompressionDiffDb);
float x = 0.25f / effAttenDiffDb;
envelopeRate = 1 - powf(x, 1 / attackFrames);
}
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Inner loop - calculate shaped power average - apply compression.
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
{
int preDelayReadIndex = m_preDelayReadIndex;
int preDelayWriteIndex = m_preDelayWriteIndex;
float detectorAverage = m_detectorAverage;
float compressorGain = m_compressorGain;
int loopFrames = nDivisionFrames;
while (loopFrames--) {
float compressorInput = 0;
// Predelay signal, computing compression amount from un-delayed version.
for (unsigned i = 0; i < numberOfChannels; ++i) {
float* delayBuffer = m_preDelayBuffers[i].get();
float undelayedSource = sourceChannels[i][frameIndex];
delayBuffer[preDelayWriteIndex] = undelayedSource;
float absUndelayedSource = undelayedSource > 0 ? undelayedSource : -undelayedSource;
if (compressorInput < absUndelayedSource)
compressorInput = absUndelayedSource;
}
// Calculate shaped power on undelayed input.
float scaledInput = compressorInput;
float absInput = scaledInput > 0 ? scaledInput : -scaledInput;
// Put through shaping curve.
// This is linear up to the threshold, then enters a "knee" portion followed by the "ratio" portion.
// The transition from the threshold to the knee is smooth (1st derivative matched).
// The transition from the knee to the ratio portion is smooth (1st derivative matched).
float shapedInput = saturate(absInput, k);
float attenuation = absInput <= 0.0001f ? 1 : shapedInput / absInput;
float attenuationDb = -WebAudioUtils::ConvertLinearToDecibels(attenuation, -1000.0f);
attenuationDb = max(2.0f, attenuationDb);
float dbPerFrame = attenuationDb / satReleaseFrames;
float satReleaseRate = WebAudioUtils::ConvertDecibelsToLinear(dbPerFrame) - 1;
bool isRelease = (attenuation > detectorAverage);
float rate = isRelease ? satReleaseRate : 1;
detectorAverage += (attenuation - detectorAverage) * rate;
detectorAverage = min(1.0f, detectorAverage);
// Fix gremlins.
if (IsNaN(detectorAverage))
detectorAverage = 1;
if (IsInfinite(detectorAverage))
detectorAverage = 1;
// Exponential approach to desired gain.
if (envelopeRate < 1) {
// Attack - reduce gain to desired.
compressorGain += (scaledDesiredGain - compressorGain) * envelopeRate;
} else {
// Release - exponentially increase gain to 1.0
compressorGain *= envelopeRate;
compressorGain = min(1.0f, compressorGain);
}
// Warp pre-compression gain to smooth out sharp exponential transition points.
float postWarpCompressorGain = sinf(0.5f * M_PI * compressorGain);
// Calculate total gain using master gain and effect blend.
float totalGain = dryMix + wetMix * masterLinearGain * postWarpCompressorGain;
// Calculate metering.
float dbRealGain = 20 * log10(postWarpCompressorGain);
if (dbRealGain < m_meteringGain)
m_meteringGain = dbRealGain;
else
m_meteringGain += (dbRealGain - m_meteringGain) * m_meteringReleaseK;
// Apply final gain.
for (unsigned i = 0; i < numberOfChannels; ++i) {
float* delayBuffer = m_preDelayBuffers[i].get();
destinationChannels[i][frameIndex] = delayBuffer[preDelayReadIndex] * totalGain;
}
frameIndex++;
preDelayReadIndex = (preDelayReadIndex + 1) & MaxPreDelayFramesMask;
preDelayWriteIndex = (preDelayWriteIndex + 1) & MaxPreDelayFramesMask;
}
// Locals back to member variables.
m_preDelayReadIndex = preDelayReadIndex;
m_preDelayWriteIndex = preDelayWriteIndex;
m_detectorAverage = DenormalDisabler::flushDenormalFloatToZero(detectorAverage);
m_compressorGain = DenormalDisabler::flushDenormalFloatToZero(compressorGain);
}
}
}
void DynamicsCompressorKernel::reset()
{
m_detectorAverage = 0;
m_compressorGain = 1;
m_meteringGain = 1;
// Predelay section.
for (unsigned i = 0; i < m_preDelayBuffers.Length(); ++i)
memset(m_preDelayBuffers[i].get(), 0, sizeof(float) * MaxPreDelayFrames);
m_preDelayReadIndex = 0;
m_preDelayWriteIndex = DefaultPreDelayFrames;
m_maxAttackCompressionDiffDb = -1; // uninitialized state
}
} // namespace WebCore
|