If I'm understanding your problem correctly, you're wanting to find the closest "n" cities to your current location.
I had something similar and here's how I approached it.
In essence, you probably need to take each city's lat/lon and hash it into some index. We use a Mercator Projection to convert the lat/lon to x/y, then hash that value in a manner similar to how Google/Bing/Apple Maps hash their map tiles. Fortunately, MapKit has a built-in Mercator Projection function.
In pseudocode:
for each city's lat/lon {
CLLocationCoordinate2D coordinate = (CLLocationCoordinate2D){lat, lon};
MKMapPoint point = MKMapPointForCoordinate(coordinate);
//256 represents the size of a map tile at zoomLevel 20. You can use whatever zoomLevel
//you want here, but we need something to quickly lookup close-by cities.
//this is the formula you can use to determine how granular your index is
//(256 * pow(2, (20 - zoomLevel)))
NSInteger x = point.x/256.0;
NSInteger y = point.y/256.0;
save x & y in a CityHashIndex table
}
Now, you get the current location's lat/lon, hash that into the index as above, and just simply write a query against this CityHashIndex table.
So say that, for simplicity sake, you're current location is indexed at 1000, 1000
. So to find close by cities, maybe you search for cities with indexes in the range of `900-1100, 900-1100'.
From there, you're now only pulling in a much smaller set of cities and the memory requirements to process your Hypotenuse Formula isn't so bad.
I can elaborate more if you're interested.