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28 <p class=
"p1"><br></p>
29 <p class=
"p2"><b>Understanding Streams, Patterns and Events - Part
2</b></p>
30 <p class=
"p3"><br></p>
31 <p class=
"p4"><b>Patterns
</b></p>
32 <p class=
"p3"><br></p>
33 <p class=
"p4">Often one wants to be able to create multiple streams from a single stream specification. Patterns are just a way to make multiple Streams
<span class=
"Apple-converted-space"> </span>from a single specification, like a cookie cutter. A pattern can be any object that responds to the asStream message by creating a Stream. Once again there is a default implementation in class Object of asStream that simply returns the receiver as its own stream. Thus any object is by default a pattern that returns itself as a stream when sent the asStream message.
</p>
34 <p class=
"p5"><br></p>
36 <p class=
"p6">a =
7.asStream;
</p>
37 <p class=
"p6">a.postln;
</p>
38 <p class=
"p6">a.next.postln;
</p>
40 <p class=
"p3"><br></p>
41 <p class=
"p4"><b>Pattern and its subclasses
</b></p>
42 <p class=
"p3"><br></p>
43 <p class=
"p4">There is a class named Pattern that provides more functionality for the concept of a pattern.
</p>
44 <p class=
"p3"><br></p>
45 <p class=
"p4">Pfunc is a Pattern that returns a FuncStream. The same function arguments are supplied as are supplied to FuncStream.
</p>
46 <p class=
"p3"><br></p>
48 <p class=
"p6"><span class=
"s1">var
</span> a, b;
</p>
49 <p class=
"p6">a =
<span class=
"s1">Pfunc
</span>.new({ #[
1,
2,
3,
4].choose });
</p>
50 <p class=
"p7"><span class=
"s2">b = a.asStream;
<span class=
"Apple-tab-span"> </span></span>// make a stream from the pattern
</p>
51 <p class=
"p7"><span class=
"s2">5.do({ b.next.postln; });
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// print
5 values from the stream
</p>
52 <p class=
"p8"><br></p>
54 <p class=
"p3"><br></p>
55 <p class=
"p4">Prout is a Pattern that returns a Routine. The same function argument is supplied as is supplied to Routine.
</p>
56 <p class=
"p3"><br></p>
58 <p class=
"p6"><span class=
"s1">var
</span> a, b, c;
</p>
59 <p class=
"p6">a =
<span class=
"s1">Prout
</span>.new({
<span class=
"Apple-converted-space"> </span></p>
60 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>3.do({
<span class=
"s1">arg
</span> i;
3.rand.yield; })
<span class=
"Apple-converted-space"> </span></p>
61 <p class=
"p6"><span class=
"Apple-tab-span"> </span>});
</p>
62 <p class=
"p7">// make two streams from the pattern
</p>
63 <p class=
"p6">b = a.asStream;
</p>
64 <p class=
"p6">c = a.asStream;
</p>
65 <p class=
"p7"><span class=
"s2">4.do({ b.next.postln; });
<span class=
"Apple-tab-span"> </span></span>// print
4 values from first stream
</p>
66 <p class=
"p7"><span class=
"s2">4.do({ c.next.postln; });
<span class=
"Apple-tab-span"> </span></span>// print
4 values from second stream
</p>
68 <p class=
"p3"><br></p>
69 <p class=
"p4">Pseries is a Pattern that generates an arithmetic series.
</p>
70 <p class=
"p5"><br></p>
72 <p class=
"p6"><span class=
"s1">var
</span> a, b;
</p>
73 <p class=
"p7"><span class=
"s2">a =
</span><span class=
"s1">Pseries
</span><span class=
"s2">.new(
10,
3,
8);
</span>// stream starts at
10, steps by
3 and has length
8</p>
74 <p class=
"p6">b = a.asStream;
</p>
75 <p class=
"p7"><span class=
"s2">9.do({ b.next.postln; });
<span class=
"Apple-tab-span"> </span></span>// print
9 values from stream
</p>
77 <p class=
"p3"><br></p>
78 <p class=
"p4">Pgeom is a Pattern that generates a geometric series.
</p>
79 <p class=
"p3"><br></p>
81 <p class=
"p6"><span class=
"s1">var
</span> a, b;
</p>
82 <p class=
"p7">// stream starts at
10, steps by factor of
3 and has length
8</p>
83 <p class=
"p6">a =
<span class=
"s1">Pgeom
</span>.new(
10,
3,
8);
<span class=
"Apple-converted-space"> </span></p>
84 <p class=
"p6">b = a.asStream;
</p>
85 <p class=
"p7"><span class=
"s2">9.do({ b.next.postln; });
<span class=
"Apple-tab-span"> </span></span>// print
9 values from stream
</p>
87 <p class=
"p3"><br></p>
88 <p class=
"p4"><b>Math operations on Patterns
</b></p>
89 <p class=
"p3"><br></p>
90 <p class=
"p4">Patterns also respond to math operators by returning patterns that respond to asStream with appropriately modified streams.
</p>
91 <p class=
"p3"><br></p>
92 <p class=
"p4">Applying a unary operator to a pattern
</p>
93 <p class=
"p3"><br></p>
95 <p class=
"p6"><span class=
"s1">var
</span> a, b, c;
</p>
96 <p class=
"p7">// a is a pattern whose stream counts from
0 to
9</p>
97 <p class=
"p6">a =
<span class=
"s1">Pseries
</span>.new(
0,
1,
10);
</p>
98 <p class=
"p7"><span class=
"s2">b = a.squared;
<span class=
"Apple-tab-span"> </span></span>// pattern b is a square of the pattern a
</p>
99 <p class=
"p6">c = b.asStream;
</p>
100 <p class=
"p6">12.do({ c.next.postln; });
</p>
102 <p class=
"p3"><br></p>
103 <p class=
"p4">Using a binary operator on a pattern
</p>
104 <p class=
"p5"><br></p>
106 <p class=
"p6"><span class=
"s1">var
</span> a, b, c;
</p>
107 <p class=
"p7">// a is a pattern whose stream counts from
0 to
9</p>
108 <p class=
"p6">a =
<span class=
"s1">Pseries
</span>.new(
0,
1,
10);
</p>
109 <p class=
"p7"><span class=
"s2">b = a +
100;
<span class=
"Apple-tab-span"> </span></span>// add a constant value to pattern a
</p>
110 <p class=
"p6">c = b.asStream;
</p>
111 <p class=
"p6">12.do({ c.next.postln; });
</p>
113 <p class=
"p3"><br></p>
114 <p class=
"p4"><b>Filtering operations on patterns
</b></p>
115 <p class=
"p3"><br></p>
116 <p class=
"p4">Patterns also respond to the messages collect, select, and reject by returning a new Pattern.
</p>
117 <p class=
"p3"><br></p>
118 <p class=
"p4">The collect message returns a Pattern whose Stream is modified by a function in the same way as the collect message sent to a Collection returns a modified Collection.
</p>
119 <p class=
"p5"><br></p>
121 <p class=
"p6"><span class=
"s1">var
</span> a, b, c;
</p>
122 <p class=
"p7">// a is a pattern whose stream counts from
0 to
9</p>
123 <p class=
"p6">a =
<span class=
"s1">Pseries
</span>.new(
0,
1,
10);
</p>
124 <p class=
"p7">// b is a pattern whose stream adds
100 to even values
</p>
125 <p class=
"p6">b = a.collect({
<span class=
"s1">arg
</span> item; if (item.even, { item +
100 },{ item }); });
</p>
126 <p class=
"p6">c = b.asStream;
</p>
127 <p class=
"p6">6.do({ c.next.postln; });
</p>
129 <p class=
"p3"><br></p>
130 <p class=
"p4">The select message creates a pattern whose stream passes only items that return true from a user supplied function.
</p>
131 <p class=
"p5"><br></p>
133 <p class=
"p6"><span class=
"s1">var
</span> a, b, c;
</p>
134 <p class=
"p7">// a is a pattern whose stream counts from
0 to
9</p>
135 <p class=
"p6">a =
<span class=
"s1">Pseries
</span>.new(
0,
1,
10);
</p>
136 <p class=
"p7">// b is a pattern whose stream only returns the odd values
</p>
137 <p class=
"p6">b = a.select({
<span class=
"s1">arg
</span> item; item.odd; });
</p>
138 <p class=
"p6">c = b.asStream;
</p>
139 <p class=
"p6">6.do({ c.next.postln; });
</p>
141 <p class=
"p3"><br></p>
142 <p class=
"p4">The reject message creates a pattern whose stream passes only items that return false from a
<span class=
"Apple-converted-space"> </span></p>
143 <p class=
"p4">user supplied function.
</p>
144 <p class=
"p3"><br></p>
146 <p class=
"p6"><span class=
"s1">var
</span> a, b, c;
</p>
147 <p class=
"p7">// a is a pattern whose stream counts from
0 to
9</p>
148 <p class=
"p6">a =
<span class=
"s1">Pseries
</span>.new(
0,
1,
10);
</p>
149 <p class=
"p7">// b is a pattern whose stream that only returns the non-odd values
</p>
150 <p class=
"p6">b = a.reject({
<span class=
"s1">arg
</span> item; item.odd; });
</p>
151 <p class=
"p6">c = b.asStream;
</p>
152 <p class=
"p6">6.do({ c.next.postln; });
</p>
154 <p class=
"p5"><br></p>
155 <p class=
"p3"><br></p>
156 <p class=
"p4"><b>Making Music with Patterns
</b></p>
157 <p class=
"p3"><br></p>
158 <p class=
"p4">Here is a variation of the example given in part
1 that uses a Pattern to create two instances of the random melody stream.
</p>
159 <p class=
"p3"><br></p>
161 <p class=
"p6"><span class=
"Apple-tab-span"> </span>s =
<span class=
"s1">Server
</span>.local;
</p>
162 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"s1">SynthDef
</span>(
<span class=
"s3">\help_SPE2
</span>, {
<span class=
"s1">arg
</span> i_out=
0, sustain=
1, freq;
</p>
163 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"s1">var
</span> out;
</p>
164 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>out =
<span class=
"s1">RLPF
</span>.ar(
</p>
165 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"s1">LFSaw
</span>.ar( freq ),
</p>
166 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"s1">LFNoise1
</span>.kr(
1,
36,
110).midicps,
</p>
167 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>0.1</p>
168 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>) *
<span class=
"s1">EnvGen
</span>.kr(
<span class=
"s1">Env
</span>.perc, levelScale:
0.3,
<span class=
"Apple-converted-space"> </span></p>
169 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>timeScale: sustain, doneAction:
2 );
</p>
170 <p class=
"p7"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>//out = [out, DelayN.ar(out,
0.04,
0.04) ];
</p>
171 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>4.do({ out =
<span class=
"s1">AllpassN
</span>.ar(out,
0.05, [
0.05.rand,
0.05.rand],
4) });
</p>
172 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"s1">Out
</span>.ar( i_out, out );
</p>
173 <p class=
"p6"><span class=
"Apple-tab-span"> </span>}).send(s);
</p>
176 <p class=
"p7">// streams as a sequence of pitches
</p>
177 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"s1">var
</span> pattern, streams, dur, durDiff;
</p>
178 <p class=
"p6"><span class=
"Apple-tab-span"> </span>dur =
1/
7;
</p>
179 <p class=
"p6"><span class=
"Apple-tab-span"> </span>durDiff =
3;
</p>
180 <p class=
"p6"><span class=
"Apple-tab-span"> </span>pattern =
<span class=
"s1">Prout
</span>.new({
</p>
181 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>loop({
</p>
182 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>if (
0.5.coin, {
</p>
183 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>#[
24,
31,
36,
43,
48,
55 ].do({
<span class=
"s1">arg
</span> fifth; fifth.yield });
</p>
184 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>});
</p>
185 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>rrand(
2,
5).do({
</p>
186 <p class=
"p7"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// varying arpeggio
</p>
187 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>60.yield;
</p>
188 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>#[
63,
65].choose.yield;
</p>
189 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>67.yield;
</p>
190 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>#[
70,
72,
74].choose.yield;
</p>
191 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>});
</p>
192 <p class=
"p7"><span class=
"s2"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span></span>// random high melody
</p>
193 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>rrand(
3,
9).do({
<span class=
"Apple-converted-space"> </span>#[
74,
75,
77,
79,
81].choose.yield });
</p>
194 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>});
</p>
195 <p class=
"p6"><span class=
"Apple-tab-span"> </span>});
</p>
196 <p class=
"p6"><span class=
"Apple-tab-span"> </span>streams = [
<span class=
"Apple-converted-space"> </span></p>
197 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>(pattern -
<span class=
"s1">Pfunc
</span>.new({ #[
12,
7,
7,
0].choose })).midicps.asStream,
</p>
198 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>pattern.midicps.asStream
</p>
199 <p class=
"p6"><span class=
"Apple-tab-span"> </span>];
</p>
200 <p class=
"p9"><span class=
"s2"><span class=
"Apple-tab-span"> </span></span>Routine
<span class=
"s2">({
</span></p>
201 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>loop({
</p>
202 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"s1">Synth
</span>(
<span class=
"s3">\help_SPE2
</span>, [
<span class=
"s3">\freq
</span>, streams.at(
0).next,
<span class=
"s3">\sustain
</span>, dur * durDiff
<span class=
"Apple-converted-space"> </span>] );
</p>
203 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>durDiff.do({
</p>
204 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"s1">Synth
</span>(
<span class=
"s3">\help_SPE2
</span>, [
<span class=
"s3">\freq
</span>, streams.at(
1).next,
<span class=
"s3">\sustain
</span>, dur
<span class=
"Apple-converted-space"> </span>] );
</p>
205 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>dur.wait;
</p>
206 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>});
</p>
207 <p class=
"p6"><span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>})
</p>
208 <p class=
"p6"><span class=
"Apple-tab-span"> </span>}).play
</p>
210 <p class=
"p3"><br></p>
211 <p class=
"p4">To go to the next file:
</p>
212 <p class=
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