Mandelbrot

[echo1001]

A Mandelbrot set scripted in lua. Simple but cool...

1920x1200 resolution with 3000 iterations, took around 2 minutes to render.

Code: Select all

require 'gd'
local dime = {1920,1200}
--local dime = {400,400}
local im = gd.createTrueColor(dime[1], dime[2])
local white = im:colorAllocate(255, 255, 255)
local black = im:colorAllocate(0, 0, 0)
local MinRe = -2
local MaxRe = 1
local MinIm = -1.2
local MaxIm = MinIm + (MaxRe-MinRe) * dime[2]/dime[1]
local Re_factor = (MaxRe-MinRe)/(dime[1]-1);
local Im_factor = (MaxIm-MinIm)/(dime[2]-1);
local MaxIterations = 3000

for y=0, dime[2] do
   local c_im = MaxIm - y*Im_factor
   for x=0, dime[1] do
      local c_re = MinRe + x*Re_factor
      local Z_re = c_re
      local Z_im = c_im
      local isInside = true
      local d = 0
      for n=0, MaxIterations do
         local Z_re2 = Z_re*Z_re
         local Z_im2 = Z_im*Z_im
         
         if Z_re2 + Z_im2 > 4 then
            isInside = false;
            d = n
            break
         end
         
         Z_im = 2*Z_re*Z_im + c_im
         Z_re = Z_re2 - Z_im2 + c_re
         
      end
      if isInside then
         im:setPixel(x,y, white)
      else
         local mul = (d < MaxIterations/2) and (d / MaxIterations) * 100 or 0
         local mul2 = (d > MaxIterations/2) and d / MaxIterations or 0
         local col = im:colorResolve(0,mul2*255,mul*255)
         im:setPixel(x,y,col)
      end
   end
   print((y/dime[2])*100 .. "%")
end

im:png("result.png")


[CasanovaFrankenstein]

Awesome! Something from school?

[echo1001]

Nah, personal project. I came across it when doing some general reading in wikipedia. It took like 5 minutes to write.

I was easily able to reproduce the code in c# and added threading for a live preview.

Next I need to work on a buddhabrot script. (Google it, they're cool looking)

[echo1001]

Here's a buddhabrot render, this one took about an hour in C# (309 lines) using 100% of my processor. (multithreaded, used both cores)

29 minutes 40 seconds:

[SciTech]

Nice. I have no idea what it is, but I like pwetty pictures. xD