A simple shader for AZUR aiming at computing the Mandelbrot and the Julia fractal sets

What is this addin doing ?

This small demo is based on Azur. It uses its ultra fast rendering pipeline with specific a specific high speed quadratic calculation algorithm written by Lephenixnoir a,d able to handle both :

• Mandelbrot's set calculations : Z_(n+1) = Z_n^2 + C with Z_0 = 0 + 0 i and C covering the complex plan
• Julia's set calculations : Z_(n+1) = Z_n^2 + C with C = A + B i and Z_n covering the complex plan

Both Mandelbrot - named as per Benoît MANDELBROT (1924-2010) - and Julia - named as per Gaston JULIA (1893-1978) - fractals are based on the convergence determination of the equation Z_(n+1) = Z_n^2 + C.

What can we do ?

Control keys are :

• [EXIT] to leave to the Operating System

• [F1] to [F4] to show/switch off some informations on the screen :

  • [F1] : hide everything
  • [F2] : minimal output FPS + rendering time
  • [F3] : detailed update/rendering time
  • [F4] : memory usage

• [F5]/[F6] : switch fractal mode

  • [F5] : set Mandelbrot fractal
  • [F6] : set Julia fractal

• [OPTN]/[VARS] : switch resolution

  • [OPTN] : set resolution scale to 1, the fractals are computed on a 396x224 grid
  • [VARS] : set resolution scale to 0.5 (2x2 pixels), the fractals are computed on a 198x112 grid (much faster but lower quality)

For the Julia set only :

• [SHIFT]+[Directional Cross] : change the value of the C value (C = A + B i)
  • [SHIFT+LEFT] : A = A - 0.002
  • [SHIFT+RIGHT] : A = A + 0.002
  • [SHIFT+DOWN] : B = B - 0.002
  • [SHIFT+UP] : B = B + 0.002

A and B are constrained in the range [-2.000 .. 2.000]

If you have a running session of fxlink :

• [7] to [9] to export the calculator screen to fxlink :
  • [7] : take a screenshot
  • [8] : start video output (not : this is just rendered in a SDL2 window, not recorded, OBS/ffmpeg may be your very best friends to do so)
  • [9] : stop video output

Have fun !!!