HelpSource/Classes/QuadN.schelp

   1 class:: QuadN
   2 summary:: General quadratic map chaotic generator
   3 categories:: UGens>Generators>Chaotic
   4 related:: Classes/QuadL, Classes/QuadC
   5
   6 description::
   7 A non-interpolating sound generator based on the difference equation:
   8
   9 code::
  10         x[n+1] = a * pow(x[n], 2) + b * x[n] + c
  11 ::
  12 warning:: revise formulae conversion to c like code ::
  13
  14 classmethods::
  15 method:: ar
  16 argument:: freq
  17 Iteration frequency in Hertz
  18 argument:: a
  19 Equation variable
  20 argument:: b
  21 Equation variable
  22 argument:: c
  23 Equation variable
  24 argument:: xi
  25 Initial value of x
  26
  27 examples::
  28 code::
  29 // default params
  30 { QuadN.ar(SampleRate.ir/4) * 0.2 }.play(s);
  31 ::
  32
  33 code::
  34 // logistic map
  35 // equation: x1 = -r*x0^2 + r*x0
  36 (
  37 { var r;
  38         r = MouseX.kr(3.5441, 4);       // stable range
  39         QuadN.ar(SampleRate.ir/4, r.neg, r, 0, 0.1) * 0.4;
  40 }.play(s);
  41 )
  42 ::
  43
  44 code::
  45 // logistic map as frequency control
  46 (
  47 { var r;
  48         r = MouseX.kr(3.5441, 4);       // stable range
  49         SinOsc.ar(QuadN.ar(40, r.neg, r, 0, 0.1, 800, 900)) * 0.4;
  50 }.play(s);
  51 )
  52 ::