So now I have: (which is almost an identical copy of a code snippet from  http://developer.android.com/guide/topics/location/obtaining-user-location.html )

3. import android.location.*;
4. import android.content.*;
5. 
   
6. LocationManager locationManager;
7. LocationListener locationListener;
8. 
   
9. 
   
10. void setup ()
11. {
12.   locationManager = (LocationManager) this.getSystemService (Context.LOCATION_SERVICE);
13.   // Define a listener that responds to location updates
14.   
15.   LocationListener locationListener =  new LocationListener() {
16.        public void onLocationChanged(Location location) {
17.        // Called when a new location is found by the network location provider.
18.          println ("changed");
19.        }
20. 
    
21.        public void onStatusChanged(String provider, int status, Bundle extras) {}
22.        public void onProviderEnabled(String provider) {}
23.        public void onProviderDisabled(String provider) {}
24.      };
25.      
26.    // Register the listener with the Location Manager to receive location updates  
27.    locationManager.requestLocationUpdates(LocationManager.NETWORK_PROVIDER, 0, 0, locationListener);
28.   
29.    noLoop(); 
30. }
31. 
    
32. 
    
33. void draw ()
34. {  
35. }    

Again, no compilation.  

When I comment out lines 15-24, (the inline class definition for the LocationListener), compilation proceeds.. but of course the sketch crashes upon execution because locationListener is null.  I've tried several ways of teasing the code apart -- including making a separate .java file containing a public class mLocationListener implements LocationListener.  I also tried implementing the inline class inside the call to requestLocationUpdates (similar to examples I've seen of how other event handlers have been coded (  http://processing.org/discourse/yabb2/YaBB.pl?num=1183986357/1  ).

FATAL EXCEPTION: Animation Thread
java.lang.RuntimeException: Can't create handler inside thread that has not called Looper.prepare()
     at android.os.Handler.<init>(Handler.java:121)
     at android.location.LocationManager$ListenerTransport$1.<init>(LocationManager.java:139)
     at android.location.LocationManager$ListenerTransport.<init>(LocationManager.java:137)
     at android.location.LocationManager._requestLocationUpdates(LocationManager.java:708)
     at android.location.LocationManager.requestLocationUpdates(LocationManager.java:630)
     at processing.android.opengl.Test.setup(Test.java:38)
     at processing.core.PApplet.handleDraw(PApplet.java:1739)
     at processing.core.PGraphicsAndroid2D.requestDraw(PGraphicsAndroid2D.java:161)
     at processing.core.PApplet.run(PApplet.java:1630)
     at java.lang.Thread.run(Thread.java:1096)
 
I didn't delve any deeper into this error, but the "Can't create handler inside thread that has not called Looper.prepare()" message could be indicating that something important is missing somewhere...