53 lines
1.1 KiB
Text
53 lines
1.1 KiB
Text
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class:: GbmanN
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summary:: Gingerbreadman map chaotic generator
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categories:: UGens>Generators>Chaotic
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related:: Classes/GbmanL
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description::
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A non-interpolating sound generator based on the difference equations:
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teletype::
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x(n+1) = 1 - y(n) + |x(n)|
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y(n+1) = x(n)
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::
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The behavior of the system is only dependent on its initial conditions.
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sclang code translation:
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code::
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(
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var xi = 1.2, yi = 2.1, size = 64;
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plot(size.collect { var x; xi = 1 - yi + abs(x = xi); yi = x; xi });
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)
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::
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Reference: emphasis:: Devaney, R. L. "The Gingerbreadman." Algorithm 3, 15-16, Jan. 1992. ::
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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:: 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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{ GbmanN.ar(MouseX.kr(20, SampleRate.ir)) * 0.1 }.play(s);
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// change initial params
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{ GbmanN.ar(MouseX.kr(20, SampleRate.ir), -0.7, -2.7) * 0.1 }.play(s);
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// wait for it...
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{ GbmanN.ar(MouseX.kr(20, SampleRate.ir), 1.2, 2.0002) * 0.1 }.play(s);
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// as a frequency control
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{ SinOsc.ar(GbmanN.ar(40)*400+500)*0.4 }.play(s);
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::
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