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.Apple-tab-span
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}
22 <p class=
"p1"><b>GbmanN
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>gingerbreadman map chaotic generator
</b></p>
23 <p class=
"p2"><br></p>
24 <p class=
"p3"><b>GbmanN.ar(freq, xi, yi, mul, add)
</b></p>
25 <p class=
"p2"><br></p>
26 <p class=
"p3"><span class=
"Apple-tab-span"> </span><b>freq
</b> - iteration frequency in Hertz
</p>
27 <p class=
"p3"><span class=
"Apple-tab-span"> </span><b>xi
</b> - initial value of x
</p>
28 <p class=
"p3"><span class=
"Apple-tab-span"> </span><b>yi
</b> - initial value of y
</p>
29 <p class=
"p4"><br></p>
30 <p class=
"p3">A non-interpolating sound generator based on the difference equations:
</p>
31 <p class=
"p2"><span class=
"Apple-tab-span"> </span></p>
32 <p class=
"p3"><span class=
"Apple-tab-span"> </span>x
<span class=
"s1"><sub>n+
1</sub></span> =
1 - y
<span class=
"s1"><sub>n
</sub></span> + |x
<span class=
"s1"><sub>n
</sub></span>|
</p>
33 <p class=
"p3"><span class=
"Apple-tab-span"> </span>y
<span class=
"s1"><sub>n+
1</sub></span> = x
<span class=
"s1"><sub>n
</sub></span></p>
34 <p class=
"p4"><span class=
"Apple-tab-span"> </span></p>
35 <p class=
"p3">The behavior of the system is only dependent on its initial conditions.
</p>
36 <p class=
"p2"><br></p>
37 <p class=
"p3">Reference:
</p>
38 <p class=
"p3">Devaney, R. L.
"The Gingerbreadman." Algorithm
3,
15-
16, Jan.
1992.
</p>
39 <p class=
"p4"><br></p>
40 <p class=
"p4"><br></p>
41 <p class=
"p5">// default initial params
</p>
42 <p class=
"p6">{
<span class=
"s2">GbmanN
</span>.ar(
<span class=
"s2">MouseX
</span>.kr(
20,
<span class=
"s2">SampleRate
</span>.ir)) *
0.1 }.play(s);
</p>
43 <p class=
"p4"><br></p>
44 <p class=
"p5">// change initial params
</p>
45 <p class=
"p6">{
<span class=
"s2">GbmanN
</span>.ar(
<span class=
"s2">MouseX
</span>.kr(
20,
<span class=
"s2">SampleRate
</span>.ir), -
0.7, -
2.7) *
0.1 }.play(s);
</p>
46 <p class=
"p4"><br></p>
47 <p class=
"p5">// wait for it...
</p>
48 <p class=
"p6">{
<span class=
"s2">GbmanN
</span>.ar(
<span class=
"s2">MouseX
</span>.kr(
20,
<span class=
"s2">SampleRate
</span>.ir),
1.2,
2.0002) *
0.1 }.play(s);
</p>
49 <p class=
"p4"><br></p>
50 <p class=
"p5">// as a frequency control
</p>
51 <p class=
"p6">{
<span class=
"s2">SinOsc
</span>.ar(
<span class=
"s2">GbmanN
</span>.ar(
40)*
400+
500)*
0.4 }.play(s);
</p>
