determine if a given point is inside the polygon

Question

Given a convex polygon as a counter-clockwise list of n vertices, give O(lgn) algorithm to determine if a given point is inside the polygon. Assume the basic operations take

Answer 1

you might want to check this link with detailed info how to determine whether a point is inside a complex polygon, including sample (c) code.

http://alienryderflex.com/polygon/