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
|
class:: QuadC
summary:: General quadratic map chaotic generator
categories:: UGens>Generators>Chaotic
related:: Classes/QuadN, Classes/QuadL
description::
A cubic-interpolating sound generator based on the difference equation:
code::
x[n+1] = a * pow(x[n], 2) + b * x[n] + c
::
warning:: revise formulae conversion to c like code ::
classmethods::
method:: ar
argument:: freq
Iteration frequency in Hertz
argument:: a
Equation variable
argument:: b
Equation variable
argument:: c
Equation variable
argument:: xi
Initial value of x
examples::
code::
// default params
{ QuadC.ar(SampleRate.ir/4) * 0.2 }.play(s);
::
code::
// logistic map
// equation: x1 = -r*x0^2 + r*x0
(
{ var r;
r = MouseX.kr(3.5441, 4); // stable range
QuadC.ar(SampleRate.ir/4, r.neg, r, 0, 0.1) * 0.4;
}.play(s);
)
::
code::
// logistic map as frequency control
(
{ var r;
r = MouseX.kr(3.5441, 4); // stable range
SinOsc.ar(QuadC.ar(40, r.neg, r, 0, 0.1, 800, 900)) * 0.4;
}.play(s);
)
::
|
