Help/UGens/Filters/SOS.html

   1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
   2 <html>
   3 <head>
   4 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
   5 <meta http-equiv="Content-Style-Type" content="text/css">
   6 <title></title>
   7 <meta name="Generator" content="Cocoa HTML Writer">
   8 <meta name="CocoaVersion" content="949.43">
   9 <style type="text/css">
  10 p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica}
  11 p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica; min-height: 14.0px}
  12 p.p3 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Helvetica; color: #001bb9}
  13 p.p4 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Courier}
  14 p.p5 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Monaco; min-height: 16.0px}
  15 p.p6 {margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Monaco; color: #ad140d}
  16 p.p7 {margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Monaco}
  17 p.p8 {margin: 0.0px 0.0px 0.0px 0.0px; font: 9.0px Monaco; min-height: 12.0px}
  18 span.s1 {font: 18.0px Helvetica}
  19 span.s2 {color: #000000}
  20 span.s3 {color: #0021e7}
  21 span.s4 {color: #001bb9}
  22 span.Apple-tab-span {white-space:pre}
  23 </style>
  24 </head>
  25 <body>
  26 <p class="p1"><span class="s1"><b>SOS<span class="Apple-tab-span">      </span><span class="Apple-tab-span">    </span></b></span><b>second order filter section (biquad)</b></p>
  27 <p class="p2"><br></p>
  28 <p class="p3"><span class="s2"><b>Inherits from: </b><a href="../../Core/Object.html"><span class="s3"><b>Object</b></span></a></span><b> : </b><a href="../../Core/Kernel/AbstractFunction.html"><b>AbstractFunction</b></a><b> : </b><a href="../UGen.html"><b>UGen</b></a><b> : </b><a href="../Filter.html"><b>Filter</b></a><b><span class="Apple-converted-space"> </span></b></p>
  29 <p class="p2"><br></p>
  30 <p class="p2"><br></p>
  31 <p class="p1"><b>SOS.ar(in, a0, a1, a2, b1, b2, mul, add)</b></p>
  32 <p class="p1"><b>SOS.kr(in, a0, a1, a2, b1, b2, mul, add)</b></p>
  33 <p class="p2"><br></p>
  34 <p class="p1">A standard second order filter section. Filter coefficients are given directly rather than calculated for you.</p>
  35 <p class="p1">Formula is equivalent to:</p>
  36 <p class="p2"><br></p>
  37 <p class="p4">out(i) = (a0 * in(i)) + (a1 * in(i-1)) + (a2 * in(i-2))<span class="Apple-converted-space"> </span></p>
  38 <p class="p4"><span class="Apple-tab-span">     </span>+ (b1 * out(i-1)) + (b2 * out(i-2))</p>
  39 <p class="p2"><br></p>
  40 <p class="p2"><br></p>
  41 <p class="p5"><br></p>
  42 <p class="p6">// example: same as TwoPole</p>
  43 <p class="p7">(</p>
  44 <p class="p7">{</p>
  45 <p class="p7"><span class="Apple-tab-span">     </span><span class="s4">var</span> rho, theta, b1, b2;</p>
  46 <p class="p7"><span class="Apple-tab-span">     </span>theta = <span class="s4">MouseX</span>.kr(0.2pi, pi);</p>
  47 <p class="p7"><span class="Apple-tab-span">     </span>rho = <span class="s4">MouseY</span>.kr(0.6, 0.99);</p>
  48 <p class="p7"><span class="Apple-tab-span">     </span>b1 = 2.0 * rho * cos(theta);</p>
  49 <p class="p7"><span class="Apple-tab-span">     </span>b2 = rho.squared.neg;</p>
  50 <p class="p7"><span class="Apple-tab-span">     </span><span class="s4">SOS</span>.ar(<span class="s4">LFSaw</span>.ar(200, 0, 0.1), 1.0, 0.0, 0.0, b1, b2)</p>
  51 <p class="p7">}.play</p>
  52 <p class="p7">)</p>
  53 <p class="p8"><br></p>
  54 <p class="p8"><br></p>
  55 <p class="p7">(</p>
  56 <p class="p7">{</p>
  57 <p class="p7"><span class="Apple-tab-span">     </span><span class="s4">var</span> rho, theta, b1, b2;</p>
  58 <p class="p7"><span class="Apple-tab-span">     </span>theta = <span class="s4">MouseX</span>.kr(0.2pi, pi);</p>
  59 <p class="p7"><span class="Apple-tab-span">     </span>rho = <span class="s4">MouseY</span>.kr(0.6, 0.99);</p>
  60 <p class="p7"><span class="Apple-tab-span">     </span>b1 = 2.0 * rho * cos(theta);</p>
  61 <p class="p7"><span class="Apple-tab-span">     </span>b2 = rho.squared.neg;</p>
  62 <p class="p7"><span class="Apple-tab-span">     </span><span class="s4">SOS</span>.ar(<span class="s4">WhiteNoise</span>.ar(0.1 ! 2), 1.0, 0.0, 0.0, b1, b2)</p>
  63 <p class="p7">}.play</p>
  64 <p class="p7">)</p>
  65 <p class="p8"><br></p>
  66 <p class="p6">// example with SOS.kr kr as modulator</p>
  67 <p class="p7">(</p>
  68 <p class="p7">{</p>
  69 <p class="p7"><span class="Apple-tab-span">     </span><span class="s4">var</span> rho, theta, b1, b2, vib;</p>
  70 <p class="p7"><span class="Apple-tab-span">     </span>theta = <span class="s4">MouseX</span>.kr(0.2pi, pi);</p>
  71 <p class="p7"><span class="Apple-tab-span">     </span>rho = <span class="s4">MouseY</span>.kr(0.6, 0.99);</p>
  72 <p class="p7"><span class="Apple-tab-span">     </span>b1 = 2.0 * rho * cos(theta);</p>
  73 <p class="p7"><span class="Apple-tab-span">     </span>b2 = rho.squared.neg;</p>
  74 <p class="p8"><span class="Apple-tab-span">     </span></p>
  75 <p class="p7"><span class="Apple-tab-span">     </span>vib = <span class="s4">SOS</span>.kr(<span class="s4">LFSaw</span>.kr(3.16), 1.0, 0.0, 0.0, b1, b2);</p>
  76 <p class="p7"><span class="Apple-tab-span">     </span>SinOsc.ar( vib * 200 + 600) * 0.2</p>
  77 <p class="p7">}.play</p>
  78 <p class="p7">)</p>
  79 </body>
  80 </html>