Mandelbrot / Julia shaders for AZUR Just for Fun
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Sylvain PILLOT aa95fe7c8b

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 !!!