Very neat, I love applying math to photography; but for this problem, it's way easier to just assume "haze = constant gray cast" and therefore simply increase c

Very neat, I love applying math to photography; but for this problem, it's way easier to just assume "haze = constant gray cast" and therefore simply increase contrast and saturation. This will look just fine for for 99% of amateur photographs (I know it does for mine), and professionals just use polarizing filters anyway.