# Fern IFS fractal
# FB - 201003217
from PIL import Image
import random
imgx = 512
imgy = 512
image = Image.new("L", (imgx, imgy))
# Fractint IFS definition of Fern
mat=[[0.0,0.0,0.0,0.16,0.0,0.0,0.01],
[0.85,0.04,-0.04,0.85,0.0,1.6,0.85],
[0.2,-0.26,0.23,0.22,0.0,1.6,0.07],
[-0.15,0.28,0.26,0.24,0.0,0.44,0.07]]
xa = -5.5
xb = 6.5
ya = -0.5
yb = 10.5
x=0.0
y=0.0
for k in range(imgx * imgy):
p=random.random()
if p <= mat[0][6]:
i=0
elif p <= mat[0][6] + mat[1][6]:
i=1
elif p <= mat[0][6] + mat[1][6] + mat[2][6]:
i=2
else:
i=3
x0 = x * mat[i][0] + y * mat[i][1] + mat[i][4]
y = x * mat[i][2] + y * mat[i][3] + mat[i][5]
x = x0
jx = int((x - xa) / (xb - xa) * (imgx - 1))
jy = (imgy - 1) - int((y - ya) / (yb - ya) * (imgy - 1))
image.putpixel((jx, jy), 255)
image.save("fern.png", "PNG")
