60 lines
1 KiB
Text
60 lines
1 KiB
Text
class:: QuadL
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summary:: General quadratic map chaotic generator
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categories:: UGens>Generators>Chaotic
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related:: Classes/QuadC, Classes/QuadN
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description::
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A linear-interpolating sound generator based on the difference equation:
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teletype::
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x(n+1) = a * x(n)^2 + b * x(n) + c
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::
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sclang code translation:
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code::
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(
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var a = 1, b = -1, c = -0.75, xi = 0, size = 64;
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plot(size.collect { xi = (a * (xi ** 2)) + (b * xi) + c; xi });
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)
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::
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classmethods::
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method:: ar
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argument:: freq
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Iteration frequency in Hertz
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argument:: a
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Equation variable
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argument:: b
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Equation variable
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argument:: c
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Equation variable
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argument:: xi
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Initial value of x
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examples::
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code::
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// default params
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{ QuadL.ar(SampleRate.ir/4) * 0.2 }.play(s);
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::
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code::
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// logistic map
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// equation: x1 = -r*x0^2 + r*x0
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(
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{ var r;
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r = MouseX.kr(3.5441, 4); // stable range
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QuadL.ar(SampleRate.ir/4, r.neg, r, 0, 0.1) * 0.4;
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}.play(s);
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)
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::
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code::
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// logistic map as frequency control
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(
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{ var r;
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r = MouseX.kr(3.5441, 4); // stable range
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SinOsc.ar(QuadL.ar(40, r.neg, r, 0, 0.1, 800, 900)) * 0.4;
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}.play(s);
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)
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::
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