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Hi,
The Blend Modes are easy since they are pixel by pixel operations.

you can see the math and code in any of the following:

http://photoblogstop.com/photoshop/photoshop-blend-modes-explained

http://www.venture-ware.com/kevin/coding/lets-learn-math-photoshop-blend-modes/

http://www.simplefilter.de/en/basics/mixmods.html

http://www.kineticsystem.org/?q=node/13

Enjoy.