+ def to_s
+ "Only method #{@supported_method} is supported on this URI"
+ end
+ end
+
+ ##
+ # raised when an API call takes too long
+ class APITimeoutError < APIError
+ def status
+ :request_timeout
+ end
+
+ def to_s
+ "Request timed out"
+ end
+ end
+
+ # Helper methods for going to/from mercator and lat/lng.
+ class Mercator
+ include Math
+
+ #init me with your bounding box and the size of your image
+ def initialize(min_lat, min_lon, max_lat, max_lon, width, height)
+ xsize = xsheet(max_lon) - xsheet(min_lon)
+ ysize = ysheet(max_lat) - ysheet(min_lat)
+ xscale = xsize / width
+ yscale = ysize / height
+ scale = [xscale, yscale].max
+
+ xpad = width * scale - xsize
+ ypad = height * scale - ysize
+
+ @width = width
+ @height = height
+
+ @tx = xsheet(min_lon) - xpad / 2
+ @ty = ysheet(min_lat) - ypad / 2
+
+ @bx = xsheet(max_lon) + xpad / 2
+ @by = ysheet(max_lat) + ypad / 2
+ end
+
+ #the following two functions will give you the x/y on the entire sheet
+
+ def ysheet(lat)
+ log(tan(PI / 4 + (lat * PI / 180 / 2))) / (PI / 180)
+ end
+
+ def xsheet(lon)
+ lon
+ end
+
+ #and these two will give you the right points on your image. all the constants can be reduced to speed things up. FIXME
+
+ def y(lat)
+ return @height - ((ysheet(lat) - @ty) / (@by - @ty) * @height)
+ end
+
+ def x(lon)
+ return ((xsheet(lon) - @tx) / (@bx - @tx) * @width)
+ end
+ end
+
+ 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
+
+ # get the SQL to use to calculate distance
+ def sql_for_distance(lat_field, lon_field)
+ "6372.795 * 2 * asin(sqrt(power(sin((radians(#{lat_field}) - #{@lat}) / 2), 2) + cos(#{@lat}) * cos(radians(#{lat_field})) * power(sin((radians(#{lon_field}) - #{@lon})/2), 2)))"
+ end