+ class GreatCircle
+ include Math
+
+ # initialise with a base position
+ def initialize(lat, lon)
+ @lat = lat * PI / 180
+ @lon = lon * PI / 180
+ end
+
+ # get the distance from the base position to a given position
+ def distance(lat, lon)
+ lat = lat * PI / 180
+ lon = lon * PI / 180
+ return 6372.795 * 2 * asin(sqrt(sin((lat - @lat) / 2) ** 2 + cos(@lat) * cos(lat) * sin((lon - @lon)/2) ** 2))
+ end
+
+ # get the worst case bounds for a given radius from the base position
+ def bounds(radius)
+ latradius = 2 * asin(sqrt(sin(radius / 6372.795 / 2) ** 2))
+ lonradius = 2 * asin(sqrt(sin(radius / 6372.795 / 2) ** 2 / cos(@lat) ** 2))
+ minlat = (@lat - latradius) * 180 / PI
+ maxlat = (@lat + latradius) * 180 / PI
+ minlon = (@lon - lonradius) * 180 / PI
+ maxlon = (@lon + lonradius) * 180 / PI
+ return { :minlat => minlat, :maxlat => maxlat, :minlon => minlon, :maxlon => maxlon }
+ end
+ end
+