Help/UGens/Chaos/GbmanL.html

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  22 <p class="p1"><span class="s1"><b>GbmanL<span class="Apple-tab-span">   </span><span class="Apple-tab-span">    </span></b></span><b>gingerbreadman map chaotic generator</b></p>
  23 <p class="p2"><br></p>
  24 <p class="p1"><b>GbmanL.ar(freq, xi, yi, mul, add)</b></p>
  25 <p class="p1"><b>GbmanL.kr(freq, xi, yi, mul, add)</b></p>
  26 <p class="p2"><br></p>
  27 <p class="p2"><br></p>
  28 <p class="p1"><span class="Apple-tab-span">     </span><b>freq</b> - iteration frequency in Hertz</p>
  29 <p class="p1"><span class="Apple-tab-span">     </span><b>xi</b> - initial value of x</p>
  30 <p class="p1"><span class="Apple-tab-span">     </span><b>yi</b> - initial value of y</p>
  31 <p class="p3"><br></p>
  32 <p class="p1">A linear-interpolating sound generator based on the difference equations:</p>
  33 <p class="p2"><span class="Apple-tab-span">     </span></p>
  34 <p class="p1"><span class="Apple-tab-span">     </span>x<span class="s2"><sub>n+1</sub></span> = 1 - y<span class="s2"><sub>n</sub></span> + |x<span class="s2"><sub>n</sub></span>|</p>
  35 <p class="p1"><span class="Apple-tab-span">     </span>y<span class="s2"><sub>n+1</sub></span> = x<span class="s2"><sub>n</sub></span></p>
  36 <p class="p3"><span class="Apple-tab-span">     </span></p>
  37 <p class="p1">The behavior of the system is dependent only on its initial conditions and cannot</p>
  38 <p class="p1">be changed once it's started.</p>
  39 <p class="p2"><br></p>
  40 <p class="p1">Reference:</p>
  41 <p class="p1">Devaney, R. L. "The Gingerbreadman." Algorithm 3, 15-16, Jan. 1992.</p>
  42 <p class="p3"><br></p>
  43 <p class="p3"><br></p>
  44 <p class="p4">// default initial params</p>
  45 <p class="p5">{ <span class="s3">GbmanL</span>.ar(<span class="s3">MouseX</span>.kr(20, <span class="s3">SampleRate</span>.ir)) * 0.1 }.play(s);</p>
  46 <p class="p3"><br></p>
  47 <p class="p4">// different initial params</p>
  48 <p class="p5">{ <span class="s3">GbmanL</span>.ar(<span class="s3">MouseX</span>.kr(20, <span class="s3">SampleRate</span>.ir), -0.7, -2.7) * 0.1 }.play(s);</p>
  49 <p class="p3"><br></p>
  50 <p class="p4">// wait for it...</p>
  51 <p class="p5">{ <span class="s3">GbmanL</span>.ar(<span class="s3">MouseX</span>.kr(20, <span class="s3">SampleRate</span>.ir), 1.2, 2.0002) * 0.1 }.play(s);</p>
  52 <p class="p3"><br></p>
  53 <p class="p4">// as a frequency control</p>
  54 <p class="p5">{ <span class="s3">SinOsc</span>.ar(<span class="s3">GbmanL</span>.ar(40)*400+500)*0.4 }.play(s);</p>
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