Actionscript 3 :: Point Closest To Combined Geometric Shapes (compound Shape)?

I have a single point and a set of shapes. I need to know if the point is contained within the compound shape of those shapes. That is, where all of the shapes intersect.But that is the easy part.If the point is outside the compound shape I need to find the position within that compound shape that is closest to the point.These shapes can be of the type:squarecirclering (circle with another circle cut out of the center)inverse circle (basically just the circular hole and a never ending fill outside that hole, or to the end of the canvas is there must be a limit to its size)part of circle (as in a pie chart)part of ring (as above but lineThe example below has an inverted circle (the biggest circle with grey surrounding it), a ring (topleft) a square and a line.

If we don't consider the line, then the orange part is the shape to constrain to. If the line is taken into account then the saturated orange part of the line is the shape to constrain to.The black small dots represent the points that need to be constrained. The blue dots represent the desired result. (a 1, b 2 etc.)Point "f" has no corresponding constrained result, since it is already in the orange area.For the purpose of this example, only point "e" is constrained to the line, all others are constrained to the orange orange area.