Polygon Touch detection Google Map API V2

The problem you’re trying to solve is the Point in Polygon test.

To help visualize the concept of Ray Casting:

Draw a Polygon on a piece of paper. Then, starting at any random point, draw a straight line to the right of the page. If your line intersected with your polygon an odd number of times, this means your starting point was inside the Polygon.

So, how do you do that in code?

Your polygon is comprised of a list of vertices: ArrayList<Geopoint> vertices. You need to look at each Line Segment individually, and see if your Ray intersects it

private boolean isPointInPolygon(Geopoint tap, ArrayList<Geopoint> vertices) {
    int intersectCount = 0;
    for(int j=0; j<vertices.size()-1; j++) {
        if( rayCastIntersect(tap, vertices.get(j), vertices.get(j+1)) ) {
            intersectCount++;
        }
    }

    return (intersectCount%2) == 1); // odd = inside, even = outside;
}

private boolean rayCastIntersect(Geopoint tap, Geopoint vertA, Geopoint vertB) {

    double aY = vertA.getLatitude();
    double bY = vertB.getLatitude();
    double aX = vertA.getLongitude();
    double bX = vertB.getLongitude();
    double pY = tap.getLatitude();
    double pX = tap.getLongitude();

    if ( (aY>pY && bY>pY) || (aY<pY && bY<pY) || (aX<pX && bX<pX) ) {
        return false; // a and b can't both be above or below pt.y, and a or b must be east of pt.x
    }

    double m = (aY-bY) / (aX-bX);               // Rise over run
    double bee = (-aX) * m + aY;                // y = mx + b
    double x = (pY - bee) / m;                  // algebra is neat!

    return x > pX;
}