rsc3/doc/help/ugen/chaos/standard-l.help.scrbl

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2022-08-24 13:53:18 +00:00
#lang scribble/manual
@(require (for-label racket))
@title{(standard-l rate freq k xi yi)}
(standard-n rate freq k xi yi)
Standard map chaotic generator.
freq - iteration frequency in Hertz
k - perturbation amount
xi - initial value of x
yi - initial value of y
A linear-interpolating sound generator based on the difference
equations:
xn+1 = (xn + yn+1) % 2pi
yn+1 = (yn + ksin(xn)) % 2pi
The standard map is an area preserving map of a cylinder discovered by
the plasma physicist Boris Chirikov.
Vary frequency
(audition
(out 0 (mul (standard-l ar (mouse-x kr 20 sample-rate 0 0.1) 1 0.5 0) 0.3)))
Mouse-controlled parameter.
(let ((f (fdiv sample-rate 2))
(x (mouse-x kr 0.9 4 0 0.1)))
(audition
(out 0 (mul (standard-l ar f x 0.5 0) 0.3))))
As a frequency control
(let* ((x (mouse-x kr 0.9 4 0 0.1))
(f (mul-add (standard-l ar 40 x 0.5 0) 800 900)))
(audition
(out 0 (mul (sin-osc ar f 0) 0.4))))