The Mandelbrot Set
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Mandelbrot Set
Up Fern Mandelbrot Parity SeedHead
To draw the Mandelbrot Set on the PixelBlock, mix in the CMandelbrotStencil class below and define the SetPixel abstract method to use CPixelBlock::SetPixel:
The following Stencil draws the Mandelbrot Set, a distinctive shape created by mathematicians for their own amusement:
class CMandelbrotStencil {
  virtual void SetPixel(WORD x, WORD y, DWORD Colour) =0;
public:
// l=Lower, u=Upper bounds of set to draw. d=Scale (Smaller number=Bigger Picture).
  void Mandelbrot(double lx=-2, double ux=0.6, double ly=-1.2, double uy=1.2, double d=0.02) {
    int px=0;
    for(double x=lx; x<ux; x+=d) {
      int py=0;
      for(double y=ly; y<uy; y+=d) {
        int iMax=50;
        double X=x;
        double Y=y;
        for(int i=0; i<iMax; ++i) {
          double x1=X*X-Y*Y+x;
          double y1=2*X*Y+y;
          if(x1*x1+y1*y1>=4) break;
          X=x1;
          Y=y1;
        }
        int c=iMax-i;
        SetPixel(px, py++, ((((c*5)<<8)|(c<<4))<<8)|(c*12));
      }
      ++px;
  } }
};
You can mix in as many 'Stencils' as you like to provide all the primitives you need.

The Colours, Drawing and Effects sections have further extensions.

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 (1516) Last modified: Tue, 03 Feb 2009 18:27:35 +0000