rsc3/doc-schelp/HelpSource/Classes/QuadL.scrbl

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2022-08-24 13:53:18 +00:00
#lang scribble/manual
@(require (for-label racket))
@title{QuadL}
General quadratic map chaotic generator@section{categories}
UGens>Generators>Chaotic
@section{related}
Classes/QuadC, Classes/QuadN
@section{description}
A linear-interpolating sound generator based on the difference equation:
teletype::
x(n+1) = a * x(n)^2 + b * x(n) + c
::
sclang code translation:
@racketblock[
(
var a = 1, b = -1, c = -0.75, xi = 0, size = 64;
plot(size.collect { xi = (a * (xi ** 2)) + (b * xi) + c; xi });
)
::
]
@section{classmethods}
@section{method}
ar
@section{argument}
freq
Iteration frequency in Hertz
@section{argument}
a
Equation variable
@section{argument}
b
Equation variable
@section{argument}
c
Equation variable
@section{argument}
xi
Initial value of x
@section{examples}
@racketblock[
// default params
{ QuadL.ar(SampleRate.ir/4) * 0.2 }.play(s);
::
]
@racketblock[
// logistic map
// equation: x1 = -r*x0^2 + r*x0
(
{ var r;
r = MouseX.kr(3.5441, 4); // stable range
QuadL.ar(SampleRate.ir/4, r.neg, r, 0, 0.1) * 0.4;
}.play(s);
)
::
]
@racketblock[
// logistic map as frequency control
(
{ var r;
r = MouseX.kr(3.5441, 4); // stable range
SinOsc.ar(QuadL.ar(40, r.neg, r, 0, 0.1, 800, 900)) * 0.4;
}.play(s);
)
::
]