Mandelbrot Plot

Code for a Mandelbrot Plot. Make a 512X416 image in console beginning with a 32X28 plot with a big pixel as 16x16 pixels and print until 512x416 and 1:1 pixels.

Paste the code in a module, say a: In M2000 console, write Edit A and then paste the code and press Esc to exit. Now write A and press enter.

Module Mandelbrot(x=0&,y=0&,z=1&) {
      If z<1 then z=1
      If z>16 then z=16
      Const iXmax=32*z
      Const iYmax=26*z
      Def single Cx, Cy, CxMin=-2.05, CxMax=0.85, CyMin=-1.2, CyMax=1.2
      Const PixelWidth=(CxMax-CxMin)/iXmax, iXm=(iXmax-1)*PixelWidth
      Const PixelHeight=(CyMax-CyMin)/iYmax,Ph2=PixelHeight/2
      Const Iteration=25
      Const EscRadious=2.5, ER2=EscRadious**2
      Def single preview
      preview=iXmax*twipsX*(z/16)
      Def long yp, xp, dx, dy, dx1, dy1
      Let dx=twipsx*(16/z), dx1=dx-1
      Let dy=twipsy*(16/z), dy1=dy-1
      yp=y
      For iY=0 to (iYmax-1)*PixelHeight step PixelHeight {
            Cy=CyMin+iY
            xp=x
            if abs(Cy)<Ph2 Then Cy=0
            For iX=0 to iXm Step PixelWidth {
                  Let Cx=CxMin+iX,Zx=0,Zy=0,Zx2=Zx**2,Zy2=Zy**2
                  For It=Iteration to 1 {Let Zy=2*Zx*Zy+Cy,Zx=Zx2-Zy2+Cx,Zx2=Zx**2,Zy2=Zy**2 :if Zx2+Zy2>ER2 Then exit
                  }
                  if it>13 then {it-=13} else.if it=0 then SetPixel(xp,yp,0): xp+=dx : continue
                  it*=10:SetPixel(xp,yp,color(it, it,255)) :xp+=dx
            } : yp+=dy
      }
      Sub SetPixel()
            move number, number: fill dx1, dy1, number
      End Sub
}
Cls 1,0
sz=(1,2,4,8,16)
i=each(sz)
While i {
      Mandelbrot 250*twipsx,100*twipsy, array(i)
}