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
|
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<link rel="shortcut icon" href="../../img/favicon.ico">
<title> reducemaps - Faust Libraries</title>
<link href="../../css/bootstrap.min.css" rel="stylesheet">
<link href="../../css/font-awesome.min.css" rel="stylesheet">
<link href="../../css/base.css" rel="stylesheet">
<link rel="stylesheet" href="/usr/share/javascript/highlight.js/styles/github.css">
<link href="../../css/extra.css" rel="stylesheet">
<script src="../../js/jquery-3.6.0.min.js" defer></script>
<script src="../../js/bootstrap.min.js" defer></script>
<script src="/usr/share/javascript/highlight.js/highlight.min.js"></script>
<script>hljs.initHighlightingOnLoad();</script>
</head>
<body>
<div class="navbar fixed-top navbar-expand-lg navbar-dark bg-primary">
<div class="container">
<a class="navbar-brand" href="../.."><img src="../../img/faustText.svg" width="150px"> </a>
<!-- Expander button -->
<button type="button" class="navbar-toggler" data-toggle="collapse" data-target="#navbar-collapse">
<span class="navbar-toggler-icon"></span>
</button>
<!-- Expanded navigation -->
<div id="navbar-collapse" class="navbar-collapse collapse">
<!-- Main navigation -->
<ul class="nav navbar-nav">
<li class="dropdown">
<a href="#" class="nav-link dropdown-toggle" data-toggle="dropdown">Overview <b class="caret"></b></a>
<ul class="dropdown-menu">
<li>
<a href="../../organization/" class="dropdown-item"> Organization </a>
</li>
<li>
<a href="../../standardFunctions/" class="dropdown-item"> Standard Functions </a>
</li>
<li>
<a href="../../contributing/" class="dropdown-item"> Contributing </a>
</li>
<li>
<a href="../../community/" class="dropdown-item"> Community </a>
</li>
<li>
<a href="../../about/" class="dropdown-item"> Copyright/License </a>
</li>
</ul>
</li>
<li class="navitem">
<a href="../" class="nav-link">Index</a>
</li>
<li class="dropdown active">
<a href="#" class="nav-link dropdown-toggle" data-toggle="dropdown">Libraries <b class="caret"></b></a>
<ul class="dropdown-menu">
<li>
<a href="../aanl/" class="dropdown-item"> antialiased </a>
</li>
<li>
<a href="../analyzers/" class="dropdown-item"> analyzers </a>
</li>
<li>
<a href="../basics/" class="dropdown-item"> basics </a>
</li>
<li>
<a href="../compressors/" class="dropdown-item"> compressors </a>
</li>
<li>
<a href="../delays/" class="dropdown-item"> delays </a>
</li>
<li>
<a href="../demos/" class="dropdown-item"> demos </a>
</li>
<li>
<a href="../dx7/dx7/" class="dropdown-item"> dx7/dx7 </a>
</li>
<li>
<a href="../dx7/env/" class="dropdown-item"> dx7/env </a>
</li>
<li>
<a href="../dx7/lfo/" class="dropdown-item"> dx7/lfo </a>
</li>
<li>
<a href="../dx7/operator/" class="dropdown-item"> dx7/operator </a>
</li>
<li>
<a href="../dx7/pitchenv/" class="dropdown-item"> dx7/pitchenv </a>
</li>
<li>
<a href="../envelopes/" class="dropdown-item"> envelopes </a>
</li>
<li>
<a href="../fds/" class="dropdown-item"> fds </a>
</li>
<li>
<a href="../filters/" class="dropdown-item"> filters </a>
</li>
<li>
<a href="../hoa/" class="dropdown-item"> hoa </a>
</li>
<li>
<a href="../interpolators/" class="dropdown-item"> interpolators </a>
</li>
<li>
<a href="../linearalgebra/" class="dropdown-item"> linearalgebra </a>
</li>
<li>
<a href="../maths/" class="dropdown-item"> maths </a>
</li>
<li>
<a href="../mi/" class="dropdown-item"> mi </a>
</li>
<li>
<a href="../misceffects/" class="dropdown-item"> misceffects </a>
</li>
<li>
<a href="../noises/" class="dropdown-item"> noises </a>
</li>
<li>
<a href="../oscillators/" class="dropdown-item"> oscillators </a>
</li>
<li>
<a href="../phaflangers/" class="dropdown-item"> phaflangers </a>
</li>
<li>
<a href="../physmodels/" class="dropdown-item"> physmodels </a>
</li>
<li>
<a href="../quantizers/" class="dropdown-item"> quantizers </a>
</li>
<li>
<a href="./" class="dropdown-item active"> reducemaps </a>
</li>
<li>
<a href="../reverbs/" class="dropdown-item"> reverbs </a>
</li>
<li>
<a href="../routes/" class="dropdown-item"> routes </a>
</li>
<li>
<a href="../signals/" class="dropdown-item"> signals </a>
</li>
<li>
<a href="../soundfiles/" class="dropdown-item"> soundfiles </a>
</li>
<li>
<a href="../spats/" class="dropdown-item"> spats </a>
</li>
<li>
<a href="../synths/" class="dropdown-item"> synths </a>
</li>
<li>
<a href="../vaeffects/" class="dropdown-item"> vaeffects </a>
</li>
<li>
<a href="../version/" class="dropdown-item"> version </a>
</li>
<li>
<a href="../wdmodels/" class="dropdown-item"> wdmodels </a>
</li>
<li>
<a href="../webaudio/" class="dropdown-item"> webaudio </a>
</li>
</ul>
</li>
<li class="navitem">
<a href="../../about/" class="nav-link">About</a>
</li>
</ul>
<ul class="nav navbar-nav ml-auto">
<li class="nav-item">
<a href="#" class="nav-link" data-toggle="modal" data-target="#mkdocs_search_modal">
<i class="fa fa-search"></i> Search
</a>
</li>
</ul>
</div>
</div>
</div>
<div class="container">
<div class="row"><div class="col-md-3"><div class="navbar-light navbar-expand-md bs-sidebar hidden-print affix" role="complementary">
<div class="navbar-header">
<button type="button" class="navbar-toggler collapsed" data-toggle="collapse" data-target="#toc-collapse" title="Table of Contents">
<span class="fa fa-angle-down"></span>
</button>
</div>
<div id="toc-collapse" class="navbar-collapse collapse card bg-secondary">
<ul class="nav flex-column">
<li class="nav-item" data-level="1"><a href="#reducemapslib" class="nav-link">reducemaps.lib</a>
<ul class="nav flex-column">
<li class="nav-item" data-level="3"><a href="#rmparreduce" class="nav-link">(rm.)parReduce</a>
<ul class="nav flex-column">
</ul>
</li>
<li class="nav-item" data-level="3"><a href="#rmtopreduce" class="nav-link">(rm.)topReduce</a>
<ul class="nav flex-column">
</ul>
</li>
<li class="nav-item" data-level="3"><a href="#rmbotreduce" class="nav-link">(rm.)botReduce</a>
<ul class="nav flex-column">
</ul>
</li>
<li class="nav-item" data-level="3"><a href="#rmreduce" class="nav-link">(rm.)reduce</a>
<ul class="nav flex-column">
</ul>
</li>
<li class="nav-item" data-level="3"><a href="#rmreducemap" class="nav-link">(rm.)reducemap</a>
<ul class="nav flex-column">
</ul>
</li>
</ul>
</li>
</ul>
</div>
</div></div>
<div class="col-md-9 main-container" role="main">
<h1 id="reducemapslib">reducemaps.lib</h1>
<p>A library providing reduce/map operations in Faust. Its official prefix is
<code>rm</code>. The basic idea behind <em>reduce</em> operations is to combine several values
into a single one by repeatedly applying a binary operation. A typical
example is finding the maximum of a set of values by repeatedly applying the
binary operation <code>max</code>.</p>
<p>In this reducemaps library, you'll find two types of <em>reduce</em>, depending on
whether you want to reduce n consecutive samples of the same signal or a set
of n parallel signals.</p>
<h4 id="references">References</h4>
<ul>
<li><a href="https://github.com/grame-cncm/faustlibraries/blob/master/reducemaps.lib">https://github.com/grame-cncm/faustlibraries/blob/master/reducemaps.lib</a></li>
</ul>
<hr />
<h3 id="rmparreduce"><code>(rm.)parReduce</code></h3>
<p><code>parReduce(op,N)</code> combines a set of <code>N</code> parallel signals into a single one
using a binary operation <code>op</code>.</p>
<p>With <code>parReduce</code>, this reduction process simultaneously occurs on each half
of the incoming signals. In other words, <code>parReduce(max,256)</code> is equivalent
to <code>parReduce(max,128),parReduce(max,128) : max</code>.</p>
<p>To be used with <code>parReduce</code>, binary operation <code>op</code> must be associative.
Additionally, the concept of a binary operation extends to operations
that have <code>2*n</code> inputs and <code>n</code> outputs. For example, complex signals can be
simulated using two signals for the real and imaginary parts. In
such case, a binary operation would have 4 inputs and 2 outputs.</p>
<p>Please note also that <code>parReduce</code> is faster than <code>topReduce</code> or <code>botReduce</code>
for large number of signals. It is therefore the recommended operation
whenever <code>op</code> is associative.</p>
<h4 id="usage">Usage</h4>
<pre><code>_,...,_ : parReduce(op, N) : _
</code></pre>
<p>Where:</p>
<ul>
<li><code>op</code>: is a binary operation </li>
<li><code>N</code>: is the number of incomming signals (<code>N>0</code>). We use a capital letter
here to indicate that the number of incomming signals must be constant and
known at compile time.</li>
</ul>
<hr />
<h3 id="rmtopreduce"><code>(rm.)topReduce</code></h3>
<p><code>topReduce(op,N)</code> involves combining a set of <code>N</code> parallel signals into a
single one using a binary operation <code>op</code>. With <code>topReduce</code>, the reduction
process starts from the top two incoming signals, down to the bottom. In
other words, <code>topReduce(max,256)</code> is equivalent to <code>topReduce(max,255),_ : max</code>.</p>
<p>Contrary to <code>parReduce</code>, the binary operation <code>op</code> doesn't have to be
associative here. Like with <code>parReduce</code> the concept of a binary operation can be
extended to operations that have 2*n inputs and n outputs. For example,
complex signals can be simulated using two signals representing the real and
imaginary parts. In such cases, a binary operation would have 4 inputs and 2
outputs.</p>
<h4 id="usage_1">Usage</h4>
<pre><code> _,...,_ : topReduce(op, N) : _
</code></pre>
<p>Where:</p>
<ul>
<li><code>op</code>: is a binary operation</li>
<li><code>N</code>: is the number of incomming signals (<code>N>0</code>). We use a capital letter
here to indicate that the number of incomming signals must be constant and
known at compile time.</li>
</ul>
<hr />
<h3 id="rmbotreduce"><code>(rm.)botReduce</code></h3>
<p><code>botReduce(op,N)</code> combines a set of <code>N</code> parallel signals into a single one
using a binary operation <code>op</code>. With <code>botReduce</code>, the reduction process starts
from the bottom two incoming signals, up to the top. In other words,
<code>botReduce(max,256)</code> is equivalent to <code>_,botReduce(max,255): max</code>.</p>
<p>Contrary to <code>parReduce</code>, the binary operation <code>op</code> doesn't have to be
associative here. Like with <code>parReduce</code> the concept of a binary operation can be
extended to operations that have 2*n inputs and n outputs. For example,
complex signals can be simulated using two signals representing the real and
imaginary parts. In such cases, a binary operation would have 4 inputs and 2
outputs.</p>
<h4 id="usage_2">Usage</h4>
<pre><code> _,...,_ : botReduce(op, N) : _
</code></pre>
<p>Where:</p>
<ul>
<li>op: is a binary operation</li>
<li>N: is the number of incomming signals (<code>N>0</code>). We use a capital letter
here to indicate that the number of incomming signals must be constant and
known at compile time.</li>
</ul>
<hr />
<h3 id="rmreduce"><code>(rm.)reduce</code></h3>
<p>Reduce a block of <code>n</code> consecutive samples of the incomming signal using a
binary operation <code>op</code>. For example: <code>reduce(max,128)</code> will compute the
maximun value of each block of 128 samples. Please note that the resulting
value, while computed continuously, will be constant for the duration of a
block. A new value is only produced at the end of a block. Note also that
blocks should be of at least one sample (n>0).</p>
<h4 id="usage_3">Usage</h4>
<pre><code>_ : reduce(op, n) : _
</code></pre>
<p>Where:</p>
<ul>
<li><code>op</code>: is a binary operation</li>
<li><code>n</code>: is the number of consecutive samples in a block. </li>
</ul>
<hr />
<h3 id="rmreducemap"><code>(rm.)reducemap</code></h3>
<p>Like <code>reduce</code> but a <code>foo</code> function is applied to the result. From
a mathematical point of view:
<code>reducemap(op,foo,n)</code> is equivalent to <code>reduce(op,n):foo</code>
but more efficient.</p>
<h4 id="usage_4">Usage</h4>
<pre><code>_ : reducemap(op, foo, n) : _
</code></pre>
<p>Where:</p>
<ul>
<li><code>op</code>: is a binary operation</li>
<li><code>foo</code>: is a function applied to the result of the reduction</li>
<li><code>n</code>: is the number of consecutive samples in a block. </li>
</ul></div>
</div>
</div>
<footer class="col-md-12">
<hr>
<p>Copyright © 2019-2025 <a href="https://www.grame.fr">Grame-CNCM</a></p>
</footer>
<script>
var base_url = "../..",
shortcuts = {"help": 191, "next": 78, "previous": 80, "search": 83};
</script>
<script src="../../js/base.js" defer></script>
<script src="/usr/share/javascript/mathjax/MathJax.js" defer></script>
<script src="../../search/main.js" defer></script>
<div class="modal" id="mkdocs_search_modal" tabindex="-1" role="dialog" aria-labelledby="searchModalLabel" aria-hidden="true">
<div class="modal-dialog modal-lg">
<div class="modal-content">
<div class="modal-header">
<h4 class="modal-title" id="searchModalLabel">Search</h4>
<button type="button" class="close" data-dismiss="modal"><span aria-hidden="true">×</span><span class="sr-only">Close</span></button>
</div>
<div class="modal-body">
<p>From here you can search these documents. Enter your search terms below.</p>
<form>
<div class="form-group">
<input type="search" class="form-control" placeholder="Search..." id="mkdocs-search-query" title="Type search term here">
</div>
</form>
<div id="mkdocs-search-results" data-no-results-text="No results found"></div>
</div>
<div class="modal-footer">
</div>
</div>
</div>
</div><div class="modal" id="mkdocs_keyboard_modal" tabindex="-1" role="dialog" aria-labelledby="keyboardModalLabel" aria-hidden="true">
<div class="modal-dialog">
<div class="modal-content">
<div class="modal-header">
<h4 class="modal-title" id="keyboardModalLabel">Keyboard Shortcuts</h4>
<button type="button" class="close" data-dismiss="modal"><span aria-hidden="true">×</span><span class="sr-only">Close</span></button>
</div>
<div class="modal-body">
<table class="table">
<thead>
<tr>
<th style="width: 20%;">Keys</th>
<th>Action</th>
</tr>
</thead>
<tbody>
<tr>
<td class="help shortcut"><kbd>?</kbd></td>
<td>Open this help</td>
</tr>
<tr>
<td class="next shortcut"><kbd>n</kbd></td>
<td>Next page</td>
</tr>
<tr>
<td class="prev shortcut"><kbd>p</kbd></td>
<td>Previous page</td>
</tr>
<tr>
<td class="search shortcut"><kbd>s</kbd></td>
<td>Search</td>
</tr>
</tbody>
</table>
</div>
<div class="modal-footer">
</div>
</div>
</div>
</div>
</body>
</html>
|
