68 lines
1.6 KiB
Text
68 lines
1.6 KiB
Text
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class:: LatoocarfianN
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summary:: Latoocarfian chaotic generator
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categories:: UGens>Generators>Chaotic
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related:: Classes/LatoocarfianL, Classes/LatoocarfianC
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description::
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A non-interpolating sound generator based on a function given in Clifford Pickover's book Chaos In Wonderland, pg 26. The function is:
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teletype::
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x(n+1) = sin(b * y(n)) + c * sin(b * x(n))
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y(n+1) = sin(a * x(n)) + d * sin(a * y(n))
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::
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According to Pickover, parameters code::a:: and code::b:: should be in the range from -3 to +3, and parameters code::c:: and code::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).
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sclang code translation:
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code::
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(
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var a = 1, b = 3, c = 0.5, d = 0.5, xi = 0.5, yi = 0.5, size = 64;
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plot(size.collect { var x = xi;
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xi = sin(b * yi) + (c * sin(b * xi));
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yi = sin(a * x) + (d * sin(a * yi));
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xi
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});
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)
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::
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note::This UGen is experimental and not optimized currently, so is rather hoggish of CPU.::
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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:: d
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Equation variable
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argument:: xi
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Initial value of x
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argument:: yi
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Initial value of y
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argument:: mul
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argument:: add
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examples::
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code::
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// default initial params
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{ LatoocarfianN.ar(MouseX.kr(20, SampleRate.ir)) * 0.2 }.play(s);
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::
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code::
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// randomly modulate all params
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(
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{ LatoocarfianN.ar(
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SampleRate.ir/4,
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LFNoise2.kr(2,1.5,1.5),
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LFNoise2.kr(2,1.5,1.5),
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LFNoise2.kr(2,0.5,1.5),
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LFNoise2.kr(2,0.5,1.5)
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) * 0.2 }.play(s);
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)
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::
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