Help/UGens/Chaos/QuadN.html

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  23 <p class="p1"><b>QuadN<span class="Apple-tab-span">     </span><span class="Apple-tab-span">    </span>general quadratic map chaotic generator</b></p>
  24 <p class="p2"><br></p>
  25 <p class="p3"><b>QuadN.ar(freq, a, b, c, xi, mul, add)</b></p>
  26 <p class="p2"><br></p>
  27 <p class="p3"><span class="Apple-tab-span">     </span><b>freq</b> - iteration frequency in Hertz</p>
  28 <p class="p3"><span class="Apple-tab-span">     </span><b>a, b, c</b> - equation variables</p>
  29 <p class="p3"><span class="Apple-tab-span">     </span><b>xi</b> - initial value of x</p>
  30 <p class="p4"><br></p>
  31 <p class="p3">A non-interpolating sound generator based on the difference equation:</p>
  32 <p class="p2"><span class="Apple-tab-span">     </span></p>
  33 <p class="p3"><span class="Apple-tab-span">     </span>x<span class="s1"><sub>n+1</sub></span> = ax<span class="s1"><sub>n</sub><sup>2</sup></span> + bx<span class="s1"><sub>n</sub></span> + c</p>
  34 <p class="p4"><span class="Apple-tab-span">     </span></p>
  35 <p class="p4"><br></p>
  36 <p class="p5">// default params</p>
  37 <p class="p6">{ <span class="s2">QuadN</span>.ar(<span class="s2">SampleRate</span>.ir/4) * 0.2 }.play(s);</p>
  38 <p class="p4"><br></p>
  39 <p class="p5">// logistic map<span class="Apple-converted-space"> </span></p>
  40 <p class="p5">// equation: x1 = -r*x0^2 + r*x0</p>
  41 <p class="p6">(</p>
  42 <p class="p6">{ <span class="s2">var</span> r;</p>
  43 <p class="p6"><span class="Apple-tab-span">     </span>r = <span class="s2">MouseX</span>.kr(3.5441, 4);<span class="Apple-tab-span">   </span><span class="s3">// stable range</span></p>
  44 <p class="p6"><span class="Apple-tab-span">     </span><span class="s2">QuadN</span>.ar(<span class="s2">SampleRate</span>.ir/2, r.neg, r, 0, 0.1) * 0.4;</p>
  45 <p class="p6">}.play(s);</p>
  46 <p class="p6">)</p>
  47 <p class="p4"><br></p>
  48 <p class="p5">// logistic map as frequency control</p>
  49 <p class="p6">(</p>
  50 <p class="p6">{ <span class="s2">var</span> r;</p>
  51 <p class="p6"><span class="Apple-tab-span">     </span>r = <span class="s2">MouseX</span>.kr(3.5441, 4);<span class="Apple-tab-span">   </span><span class="s3">// stable range</span></p>
  52 <p class="p6"><span class="Apple-tab-span">     </span><span class="s2">SinOsc</span>.ar(<span class="s2">QuadN</span>.ar(40, r.neg, r, 0, 0.1, 800, 900)) * 0.4;</p>
  53 <p class="p6">}.play(s);</p>
  54 <p class="p6">)</p>
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