I have an edge of a polygon (convex or concave). I want to find out if, going straight from start to end point of that edge, I have to turn right or left to get inside or ou
Another approach:
Project a perpendicular line and count how many times it crosses other edges.
odd -> interior
zero or even -> exterior
Equivalently If you happen to have a well optimized point-in-polygon routine available you can project a point some epsilon off the line and throw it into the inside test.