+
−from django.contrib.gis.geos import GEOSGeometry, LinearRing, Polygon, Point
+
−from django.contrib.gis.maps.google.gmap import GoogleMapException
+
−from math import pi, sin, cos, log, exp, atan
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−
+
−# Constants used for degree to radian conversion, and vice-versa.
+
−DTOR = pi / 180.
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−RTOD = 180. / pi
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−
+
−class GoogleZoom(object):
+
−    """
+
−    GoogleZoom is a utility for performing operations related to the zoom
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−    levels on Google Maps.
+
−
+
−    This class is inspired by the OpenStreetMap Mapnik tile generation routine
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−    `generate_tiles.py`, and the article "How Big Is the World" (Hack #16) in
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−    "Google Maps Hacks" by Rich Gibson and Schuyler Erle.
+
−
+
−    `generate_tiles.py` may be found at:
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−      http://trac.openstreetmap.org/browser/applications/rendering/mapnik/generate_tiles.py
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−
+
−    "Google Maps Hacks" may be found at http://safari.oreilly.com/0596101619
+
−    """
+
−    
+
−    def __init__(self, num_zoom=19, tilesize=256):
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−        "Initializes the Google Zoom object."
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−        # Google's tilesize is 256x256, square tiles are assumed.
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−        self._tilesize = tilesize
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−        
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−        # The number of zoom levels
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−        self._nzoom = num_zoom
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−
+
−        # Initializing arrays to hold the parameters for each one of the 
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−        # zoom levels.
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−        self._degpp = [] # Degrees per pixel
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−        self._radpp = [] # Radians per pixel
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−        self._npix  = [] # 1/2 the number of pixels for a tile at the given zoom level
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−        
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−        # Incrementing through the zoom levels and populating the parameter arrays.
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−        z = tilesize # The number of pixels per zoom level.
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−        for i in xrange(num_zoom):
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−            # Getting the degrees and radians per pixel, and the 1/2 the number of
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−            # for every zoom level.
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−            self._degpp.append(z / 360.) # degrees per pixel
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−            self._radpp.append(z / (2 * pi)) # radians per pixl
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−            self._npix.append(z / 2) # number of pixels to center of tile
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−
+
−            # Multiplying `z` by 2 for the next iteration.
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−            z *= 2
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−
+
−    def __len__(self):
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−        "Returns the number of zoom levels."
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−        return self._nzoom
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−
+
−    def get_lon_lat(self, lonlat):
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−        "Unpacks longitude, latitude from GEOS Points and 2-tuples."
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−        if isinstance(lonlat, Point):
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−            lon, lat = lonlat.coords
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−        else:
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−            lon, lat = lonlat
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−        return lon, lat
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−
+
−    def lonlat_to_pixel(self, lonlat, zoom):
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−        "Converts a longitude, latitude coordinate pair for the given zoom level."
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−        # Setting up, unpacking the longitude, latitude values and getting the
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−        # number of pixels for the given zoom level.
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−        lon, lat = self.get_lon_lat(lonlat)
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−        npix = self._npix[zoom]
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−
+
−        # Calculating the pixel x coordinate by multiplying the longitude value
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−        # with with the number of degrees/pixel at the given zoom level.
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−        px_x = round(npix + (lon * self._degpp[zoom]))
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−
+
−        # Creating the factor, and ensuring that 1 or -1 is not passed in as the 
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−        # base to the logarithm.  Here's why:
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−        #  if fac = -1, we'll get log(0) which is undefined; 
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−        #  if fac =  1, our logarithm base will be divided by 0, also undefined.
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−        fac = min(max(sin(DTOR * lat), -0.9999), 0.9999)
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−
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−        # Calculating the pixel y coordinate.
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−        px_y = round(npix + (0.5 * log((1 + fac)/(1 - fac)) * (-1.0 * self._radpp[zoom])))
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−
+
−        # Returning the pixel x, y to the caller of the function.
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−        return (px_x, px_y)
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−
+
−    def pixel_to_lonlat(self, px, zoom):
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−        "Converts a pixel to a longitude, latitude pair at the given zoom level."
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−        if len(px) != 2:
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−            raise TypeError('Pixel should be a sequence of two elements.')
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−
+
−        # Getting the number of pixels for the given zoom level.
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−        npix = self._npix[zoom]
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−
+
−        # Calculating the longitude value, using the degrees per pixel.
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−        lon = (px[0] - npix) / self._degpp[zoom]
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−
+
−        # Calculating the latitude value.
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−        lat = RTOD * ( 2 * atan(exp((px[1] - npix)/ (-1.0 * self._radpp[zoom]))) - 0.5 * pi)
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−
+
−        # Returning the longitude, latitude coordinate pair.
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−        return (lon, lat)
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−    
+
−    def tile(self, lonlat, zoom):
+
−        """
+
−        Returns a Polygon  corresponding to the region represented by a fictional
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−        Google Tile for the given longitude/latitude pair and zoom level. This
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−        tile is used to determine the size of a tile at the given point.
+
−        """
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−        # The given lonlat is the center of the tile.
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−        delta = self._tilesize / 2
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−
+
−        # Getting the pixel coordinates corresponding to the
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−        # the longitude/latitude.
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−        px = self.lonlat_to_pixel(lonlat, zoom)
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−
+
−        # Getting the lower-left and upper-right lat/lon coordinates
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−        # for the bounding box of the tile.
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−        ll = self.pixel_to_lonlat((px[0]-delta, px[1]-delta), zoom)
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−        ur = self.pixel_to_lonlat((px[0]+delta, px[1]+delta), zoom)
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−
+
−        # Constructing the Polygon, representing the tile and returning.
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−        return Polygon(LinearRing(ll, (ll[0], ur[1]), ur, (ur[0], ll[1]), ll), srid=4326)
+
−        
+
−    def get_zoom(self, geom):
+
−        "Returns the optimal Zoom level for the given geometry."
+
−        # Checking the input type.
+
−        if not isinstance(geom, GEOSGeometry) or geom.srid != 4326:
+
−            raise TypeError('get_zoom() expects a GEOS Geometry with an SRID of 4326.')
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−
+
−        # Getting the envelope for the geometry, and its associated width, height
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−        # and centroid.
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−        env = geom.envelope
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−        env_w, env_h = self.get_width_height(env.extent)
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−        center = env.centroid
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−
+
−        for z in xrange(self._nzoom):
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−            # Getting the tile at the zoom level.
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−            tile_w, tile_h = self.get_width_height(self.tile(center, z).extent)
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−
+
−            # When we span more than one tile, this is an approximately good
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−            # zoom level.
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−            if (env_w > tile_w) or (env_h > tile_h):
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−                if z == 0: 
+
−                    raise GoogleMapException('Geometry width and height should not exceed that of the Earth.')
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−                return z-1
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−        
+
−        # Otherwise, we've zoomed in to the max.
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−        return self._nzoom-1
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−
+
−    def get_width_height(self, extent):
+
−        """
+
−        Returns the width and height for the given extent.
+
−        """
+
−        # Getting the lower-left, upper-left, and upper-right
+
−        # coordinates from the extent.
+
−        ll = Point(extent[:2])
+
−        ul = Point(extent[0], extent[3])
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−        ur = Point(extent[2:])
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−        # Calculating the width and height.
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−        height = ll.distance(ul)
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−        width  = ul.distance(ur)
+
−        return width, height