import Complex
import System

type C = Complex(Double)

mandelbrot_eval::Int->C->Int
mandelbrot_eval max_iter c = 
  length 
  $ (takeWhile (\z -> (magnitude z) < 2))
  $ (take max_iter) 
  $ (iterate (\z ->  z*z+c) (0:+0) )

half_width_pixels::Int
half_width_pixels = 400
scaling::Double->Int->Double
scaling width = (* (width
            /(fromIntegral half_width_pixels)))
          . fromIntegral
range::Double->[Double]
range width= map (scaling width)
    [-half_width_pixels .. half_width_pixels]

iterations::Int
iterations = 200

main::IO ()
main = do{
   let {s = show (2*half_width_pixels+1)};
   putStrLn ("P3\n"++s++" "++s++"\n"++"255");
   args <- getArgs;
   let {side = exp(-(read (head args)))};
   putStr $ unlines $ map show
   $ concatMap (  (\i -> [i,i,(i+55)])
                . (mandelbrot_eval iterations)
                . (+ center) )
   $ [x:+y | x<-(range side), y<-(range side)]
}

center::C
center =  0.4245127190 :+ 0.2075302281

-- Fenway House is looking for new residents!