Identify if point is in the polygon

As per my requirement, I am drawing polygons on google map shown in the image below.(using maps v2)

Now I need to show an alert when user enters that particular polygons.

How to identify if my current location is with in the polygon. (Need optimized way without draining battery)

Thanks in advance.

Just tried Ray Casting algorithm which identifies point in polygon. This works perfect.

Refer http://en.wikipedia.org/wiki/Point_in_polygon for thesis of Ray-Casting

private boolean isPointInPolygon(LatLng tap, ArrayList<LatLng> 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(LatLng tap, LatLng vertA, LatLng vertB) {

        double aY = vertA.latitude;
        double bY = vertB.latitude;
        double aX = vertA.longitude;
        double bX = vertB.longitude;
        double pY = tap.latitude;
        double pX = tap.longitude;

        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;
    }