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avfilter/vsrc_mandelbrot: avoid sqrt for epsilon calculation
This rewrites into a similar expression avoiding sqrt. Similarity is
assured since sqrt(x^2 + y^2)/(x+y) lies in [1/sqrt(2), 1] for x, y > 0.
Tested on x86-64, Haswell, GNU/Linux.
Command:
ffmpeg -f lavfi -i mandelbrot -f null -
old (draw_mandelbrot):
277625266 decicycles in draw_mandelbrot, 256 runs, 0 skips
304527322 decicycles in draw_mandelbrot, 512 runs, 0 skips
377593582 decicycles in draw_mandelbrot, 1024 runs, 0 skips
338539499 decicycles in draw_mandelbrot, 2048 runs, 0 skips
583630357 decicycles in draw_mandelbrot, 4096 runs, 0 skips
new (draw_mandelbrot):
274635709 decicycles in draw_mandelbrot, 256 runs, 0 skips
300287046 decicycles in draw_mandelbrot, 512 runs, 0 skips
371819935 decicycles in draw_mandelbrot, 1024 runs, 0 skips
336663765 decicycles in draw_mandelbrot, 2048 runs, 0 skips
581851016 decicycles in draw_mandelbrot, 4096 runs, 0 skips
Reviewed-by: Michael Niedermayer <michael@niedermayer.cc>
Signed-off-by: Ganesh Ajjanagadde <gajjanagadde@gmail.com>
tags/n3.0