Help/UGens/Chaos/LatoocarfianN.html

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  26 <p class="p1"><b>LatoocarfianN<span class="Apple-tab-span">     </span><span class="Apple-tab-span">    </span>latoocarfian chaotic generator</b></p>
  27 <p class="p2"><br></p>
  28 <p class="p3"><b>LatoocarfianN.ar(freq, a, b, c, d, xi, yi, mul, add)</b></p>
  29 <p class="p2"><br></p>
  30 <p class="p3"><span class="Apple-tab-span">     </span><b>freq</b> - iteration frequency in Hertz</p>
  31 <p class="p3"><span class="Apple-tab-span">     </span><b>a, b, c, d</b> - equation variables</p>
  32 <p class="p3"><span class="Apple-tab-span">     </span><b>xi</b> - initial value of x</p>
  33 <p class="p3"><span class="Apple-tab-span">     </span><b>yi</b> - initial value of y</p>
  34 <p class="p2"><br></p>
  35 <p class="p3">A non-interpolating sound generator based on a function given in Clifford Pickover's<span class="Apple-converted-space"> </span></p>
  36 <p class="p3">book <span class="s1">Chaos In Wonderland</span>, pg 26.<span class="Apple-converted-space"> </span></p>
  37 <p class="p3">The function is:</p>
  38 <p class="p2"><span class="Apple-tab-span">     </span></p>
  39 <p class="p3"><span class="Apple-tab-span">     </span>x<span class="s2"><sub>n+1</sub></span> = sin(by<span class="s2"><sub>n</sub></span>) + c*sin(bx<span class="s2"><sub>n</sub></span>)</p>
  40 <p class="p3"><span class="s2"><span class="Apple-tab-span">    </span></span>y<span class="s2"><sub>n+1</sub></span> = sin(ay<span class="s2"><sub>n</sub></span>) + d*sin(ax<span class="s2"><sub>n</sub></span>)</p>
  41 <p class="p4"><br></p>
  42 <p class="p3">According to Pickover, parameters <b>a</b> and <b>b</b> should be in the range from -3 to +3,</p>
  43 <p class="p3">and parameters <b>c</b> and <b>d</b> should be in the range from 0.5 to 1.5.</p>
  44 <p class="p3">The function can, depending on the parameters given, give continuous chaotic</p>
  45 <p class="p3">output, converge to a single value (silence)<span class="Apple-converted-space">  </span>or oscillate in a cycle (tone).</p>
  46 <p class="p3">This UGen is experimental and not optimized currently, so is rather hoggish of CPU.</p>
  47 <p class="p5"><br></p>
  48 <p class="p5"><br></p>
  49 <p class="p6">// default initial params</p>
  50 <p class="p7">{ <span class="s3">LatoocarfianN</span>.ar(<span class="s3">MouseX</span>.kr(20, <span class="s3">SampleRate</span>.ir)) * 0.2 }.play(s);</p>
  51 <p class="p5"><br></p>
  52 <p class="p6">// randomly modulate all params</p>
  53 <p class="p7">(</p>
  54 <p class="p8"><span class="s4">{ </span>LatoocarfianN<span class="s4">.ar(</span></p>
  55 <p class="p8"><span class="s4"><span class="Apple-tab-span">    </span></span>SampleRate<span class="s4">.ir/4,<span class="Apple-converted-space"> </span></span></p>
  56 <p class="p7"><span class="Apple-tab-span">     </span><span class="s3">LFNoise2</span>.kr(2,1.5,1.5),<span class="Apple-converted-space"> </span></p>
  57 <p class="p7"><span class="Apple-tab-span">     </span><span class="s3">LFNoise2</span>.kr(2,1.5,1.5),</p>
  58 <p class="p7"><span class="Apple-tab-span">     </span><span class="s3">LFNoise2</span>.kr(2,0.5,1.5),</p>
  59 <p class="p7"><span class="Apple-tab-span">     </span><span class="s3">LFNoise2</span>.kr(2,0.5,1.5)</p>
  60 <p class="p7">) * 0.2 }.play(s);</p>
  61 <p class="p7">)</p>
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