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Fixed #8113. Made get_width_height
a GoogleZoom
method that takes the extent instead of an envelope so it may handle Point geometries. Thanks to Santiago Aguiar for the bug report.
git-svn-id: http://code.djangoproject.com/svn/django/trunk@8428 bcc190cf-cafb-0310-a4f2-bffc1f526a37
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@ -6,25 +6,14 @@ from math import pi, sin, cos, log, exp, atan
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DTOR = pi / 180.
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RTOD = 180. / pi
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def get_width_height(envelope):
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# Getting the lower-left, upper-left, and upper-right
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# coordinates of the envelope.
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ll = Point(envelope[0][0])
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ul = Point(envelope[0][1])
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ur = Point(envelope[0][2])
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height = ll.distance(ul)
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width = ul.distance(ur)
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return width, height
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class GoogleZoom(object):
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"""
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GoogleZoom is a utility for performing operations related to the zoom
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levels on Google Maps.
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levels on Google Maps.
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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.
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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.
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`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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@ -34,25 +23,23 @@ class GoogleZoom(object):
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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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# 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
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# one of the zoom levels.
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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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# Incrementing through the zoom levels and populating the
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# parameter arrays.
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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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# 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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@ -75,19 +62,18 @@ class GoogleZoom(object):
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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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# 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
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# value with with the number of degrees/pixel at the given
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# zoom level.
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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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# 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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# Calculating the pixel y coordinate.
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@ -116,18 +102,18 @@ class GoogleZoom(object):
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def tile(self, lonlat, zoom):
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"""
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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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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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"""
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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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# 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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# 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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@ -136,24 +122,22 @@ class GoogleZoom(object):
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def get_zoom(self, geom):
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"Returns the optimal Zoom level for the given geometry."
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# Checking the input type.
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if not isinstance(geom, GEOSGeometry) or geom.srid != 4326:
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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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# and centroid.
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env = geom.envelope
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env_w, env_h = get_width_height(env)
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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 = self.tile(center, z)
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tile_w, tile_h = get_width_height(tile)
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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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# zoom level.
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if (env_w > tile_w) or (env_h > tile_h):
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if z == 0:
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raise GoogleMapException('Geometry width and height should not exceed that of the Earth.')
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@ -162,3 +146,16 @@ class GoogleZoom(object):
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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):
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"""
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Returns the width and height for the given extent.
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"""
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# Getting the lower-left, upper-left, and upper-right
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# coordinates from the extent.
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ll = Point(extent[:2])
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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)
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return width, height
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