from PIL import Image,ImageColor
import math, cmath

def compact(x,y):
    return int(50-50*math.exp(-4*(math.pow(x,2)+math.pow(y,2))))

def deg(x):
    return int(math.degrees(x)+180)

def Color(x,y):
    return ImageColor.getrgb("hsl("+str(deg(math.atan2(y,x)))+",100%,"+str(compact(x,y))+"%)")

def Transform(x,y):
    Z=cmath.sin(z)
    return Color(Z.real,Z.imag)

A=500
B=500
I_min=-2*math.pi
I_max=2*math.pi
R_min=-2*math.pi
R_max=2*math.pi

def main():

    size = width, hieght = A,B;

    im=Image.new("RGB",size)

    for x in range(A):
        for y in range(B):
            im.putpixel((x,y),Transform(complex((x-A/2)/(A/2)*(R_max-R_min)/2,(y-B/2)/(B/2)*(I_max-I_min)/2)))

    im.show()
    im.save("test.png")
    del im



if __name__ == '__main__':
    main()