SuperCollider CLASSES

LatoocarfianC

Latoocarfian chaotic generator

Description

A cubic-interpolating sound generator based on a function given in Clifford Pickover's book Chaos In Wonderland, pg 26. The function is:

    x(n+1) = sin(b * y(n)) + c * sin(b * x(n))
    y(n+1) = sin(a * x(n)) + d * sin(a * y(n))

According to Pickover, parameters a and b should be in the range from -3 to +3, and parameters c and d should be in the range from 0.5 to 1.5. The function can, depending on the parameters given, give continuous chaotic output, converge to a single value (silence) or oscillate in a cycle (tone).

sclang code translation:

(
var a = 1, b = 3, c = 0.5, d = 0.5, xi = 0.5, yi = 0.5, size = 64;
plot(size.collect { var x = xi;
xi = sin(b * yi) + (c * sin(b * xi));
yi = sin(a * x) + (d * sin(a * yi));
xi
});
)
NOTE: This UGen is experimental and not optimized currently, so is rather hoggish of CPU.

Class Methods

*ar (freq: 22050, a: 1, b: 3, c: 0.5, d: 0.5, xi: 0.5, yi: 0.5, mul: 1, add: 0)

From superclass: LatoocarfianN

Arguments:

freq

Iteration frequency in Hertz

a

Equation variable

b

Equation variable

c

Equation variable

d

Equation variable

xi

Initial value of x

yi

Initial value of y

Inherited class methods

Instance Methods

Inherited instance methods

Examples

// default initial params
{ LatoocarfianC.ar(MouseX.kr(20, SampleRate.ir)) * 0.2 }.play(s);
// randomly modulate all params
(
{ LatoocarfianC.ar(
    SampleRate.ir/4,
    LFNoise2.kr(2,1.5,1.5),
    LFNoise2.kr(2,1.5,1.5),
    LFNoise2.kr(2,0.5,1.5),
    LFNoise2.kr(2,0.5,1.5)
) * 0.2 }.play(s);
)