Description:
This mode is a combination of color burn and inverse color dodge mode, but a lot smoother than both of them.
The base image is lightened a bit, but very dark blend colors are "burned" in.
I chose this name, because my aim was to make the color burn mode softer.
Formula:
f(a,b) =
½b / (1 - a) (for a + b < 1)
1 - ½(1 - a) / b (else)
Disadvantages:
The formula can result in values smaller than 0 or greater than 255, so some truncation can occur (but not as extreme as for color burn).
There are two separate formulas (but no real discontinuance).
Code: