def __init__(self):
pi = _pi
# Transform from raw mercator projection to tile coordinates
t = deriveTransformation(-pi, pi, 0, 0, pi, pi, 1, 0, -pi, -pi, 0, 1)
MercatorProjection.__init__(self, 0, t)
def __init__(self):
pi = _pi
# Transform from raw mercator projection to tile coordinates
t = deriveTransformation(-pi, pi, 0, 0, pi, pi, 1, 0, -pi, -pi, 0, 1)
MercatorProjection.__init__(self, 0, t)
def calculate_corners(aspect, x, y, size, theta):
''' Return latitude, longitude corners for a geometric placement.
'''
merc = MercatorProjection(0)
#
# Get the natural angle of the hypotenuse from map aspect ratio,
# measured from the lower-right to the upper-left corner and expressed
# in CCW radians from due east.
#
base_theta = atan2(1, -float(aspect))
#
# Derive center-to-corners offset from natural angle and placement theta.
#
place_theta = base_theta + theta
dx = sin(place_theta - pi/2) * size/2
dy = cos(place_theta - pi/2) * size/2
ul = Point(x - dx, y + dy)
lr = Point(x + dx, y - dy)
#
# Convert back to degree latitude and longitude
#
ul = merc.rawUnproject(ul)
lr = merc.rawUnproject(lr)
ul_lat, ul_lon = rad2deg(ul.y), rad2deg(ul.x)
lr_lat, lr_lon = rad2deg(lr.y), rad2deg(lr.x)
return ul_lat, ul_lon, lr_lat, lr_lon
def preview_url(ul, ur, lr, ll):
'''
'''
merc = MercatorProjection(0)
ul = merc.rawUnproject(Point(*ul))
ur = merc.rawUnproject(Point(*ur))
lr = merc.rawUnproject(Point(*lr))
ll = merc.rawUnproject(Point(*ll))
q = dict(width='512', height='384', module='map')
ulx, uly, urx, ury, lrx, lry, llx, lly \
= [rad2deg(v) for v in (ul.x, ul.y, ur.x, ur.y, lr.x, lr.y, ll.x, ll.y)]
xmin, ymin = min(ulx, urx, lrx, llx), min(uly, ury, lry, lly)
xmax, ymax = max(uly, ury, lry, lly), max(ulx, urx, lrx, llx)
perimeter = (ulx, uly, urx, ury, lrx, lry, llx, lly, ulx, uly)
q.update(dict(polygons=','.join(['%.4f' % v for v in perimeter])))
q.update(
dict(bbox=','.join(('%.4f' % xmin, '%.4f' % ymax, '%.4f' % xmax,
'%.4f' % ymin))))
return 'http://pafciu17.dev.openstreetmap.org/?' + urlencode(q)
def build_rough_placement_polygon(aspect, ul_lat, ul_lon, lr_lat, lr_lon):
''' Return rough placement geometry.
Length of map hypotenuse in mercator units, angle of hypotenuse
in radians counter-clockwise from due east, and footprint polygon.
'''
merc = MercatorProjection(0)
#
# Get the natural angle of the hypotenuse from map aspect ratio,
# measured from the lower-right to the upper-left corner and expressed
# in CCW radians from due east.
#
base_theta = atan2(1, -float(aspect))
#
# Convert corner lat, lons to conformal mercator projection
#
ul = merc.rawProject(Point(deg2rad(ul_lon), deg2rad(ul_lat)))
lr = merc.rawProject(Point(deg2rad(lr_lon), deg2rad(lr_lat)))
#
# Derive dimensions of map in mercator units.
#
map_hypotenuse = hypot(ul.x - lr.x, ul.y - lr.y)
map_width = map_hypotenuse * sin(base_theta - pi / 2)
map_height = map_hypotenuse * cos(base_theta - pi / 2)
#
# Get the placed angle of the hypotenuse from the two placed corners,
# again measured from the lower-right to the upper-left corner and
# expressed in CCW radians from due east.
#
place_theta = atan2(ul.y - lr.y, ul.x - lr.x)
diff_theta = place_theta - base_theta
#
# Derive the other two corners of the roughly-placed map,
# and make a polygon in mercator units.
#
dx = map_height * sin(diff_theta)
dy = map_height * cos(diff_theta)
ur = Point(lr.x - dx, lr.y + dy)
dx = map_width * cos(diff_theta)
dy = map_width * sin(diff_theta)
ll = Point(lr.x - dx, lr.y - dy)
poly = [(ul.x, ul.y), (ur.x, ur.y), (lr.x, lr.y), (ll.x, ll.y)]
return map_hypotenuse, diff_theta, poly
def build_rough_placement_polygon(aspect, ul_lat, ul_lon, lr_lat, lr_lon):
''' Return rough placement geometry.
Length of map hypotenuse in mercator units, angle of hypotenuse
in radians counter-clockwise from due east, and footprint polygon.
'''
merc = MercatorProjection(0)
#
# Get the natural angle of the hypotenuse from map aspect ratio,
# measured from the lower-right to the upper-left corner and expressed
# in CCW radians from due east.
#
base_theta = atan2(1, -float(aspect))
#
# Convert corner lat, lons to conformal mercator projection
#
ul = merc.rawProject(Point(deg2rad(ul_lon), deg2rad(ul_lat)))
lr = merc.rawProject(Point(deg2rad(lr_lon), deg2rad(lr_lat)))
#
# Derive dimensions of map in mercator units.
#
map_hypotenuse = hypot(ul.x - lr.x, ul.y - lr.y)
map_width = map_hypotenuse * sin(base_theta - pi/2)
map_height = map_hypotenuse * cos(base_theta - pi/2)
#
# Get the placed angle of the hypotenuse from the two placed corners,
# again measured from the lower-right to the upper-left corner and
# expressed in CCW radians from due east.
#
place_theta = atan2(ul.y - lr.y, ul.x - lr.x)
diff_theta = place_theta - base_theta
#
# Derive the other two corners of the roughly-placed map,
# and make a polygon in mercator units.
#
dx = map_height * sin(diff_theta)
dy = map_height * cos(diff_theta)
ur = Point(lr.x - dx, lr.y + dy)
dx = map_width * cos(diff_theta)
dy = map_width * sin(diff_theta)
ll = Point(lr.x - dx, lr.y - dy)
poly = Polygon([(ul.x, ul.y), (ur.x, ur.y), (lr.x, lr.y), (ll.x, ll.y), (ul.x, ul.y)])
return map_hypotenuse, diff_theta, poly
def get_extent(gjson):
extent = {}
m = MercatorProjection(0)
b = get_bbox(extract_coords(gjson))
points = [[b[3], b[0]], [b[1], b[2]]]
if (points[0][0] - points[1][0] == 0) or (points[1][1] - points[0][1]
== 0):
extent['lat'] = points[0][0]
extent['lon'] = points[1][1]
extent['zoom'] = 18
else:
i = float('inf')
w = 800
h = 600
tl = [
min(map(lambda x: x[0], points)),
min(map(lambda x: x[1], points))
]
br = [
max(map(lambda x: x[0], points)),
max(map(lambda x: x[1], points))
]
c1 = m.locationCoordinate(Location(tl[0], tl[1]))
c2 = m.locationCoordinate(Location(br[0], br[1]))
while (abs(c1.column - c2.column) *
256.0) < w and (abs(c1.row - c2.row) * 256.0) < h:
c1 = c1.zoomBy(1)
c2 = c2.zoomBy(1)
center = m.coordinateLocation(
Coordinate((c1.row + c2.row) / 2, (c1.column + c2.column) / 2,
c1.zoom))
extent['lat'] = center.lat
extent['lon'] = center.lon
if c1.zoom > 18:
extent['zoom'] = 18
else:
extent['zoom'] = c1.zoom
return extent
def get_extent(gjson):
extent = {}
m = MercatorProjection(0)
b = get_bbox(extract_coords(gjson))
points = [[b[3], b[0]], [b[1], b[2]]]
if (points[0][0] - points[1][0] == 0) or (points[1][1] - points[0][1] == 0):
extent['lat'] = points[0][0]
extent['lon'] = points[1][1]
extent['zoom'] = 18
else:
i = float('inf')
w = 800
h = 600
tl = [min(map(lambda x: x[0], points)), min(map(lambda x: x[1], points))]
br = [max(map(lambda x: x[0], points)), max(map(lambda x: x[1], points))]
c1 = m.locationCoordinate(Location(tl[0], tl[1]))
c2 = m.locationCoordinate(Location(br[0], br[1]))
while (abs(c1.column - c2.column) * 256.0) < w and (abs(c1.row - c2.row) * 256.0) < h:
c1 = c1.zoomBy(1)
c2 = c2.zoomBy(1)
center = m.coordinateLocation(Coordinate(
(c1.row + c2.row) / 2,
(c1.column + c2.column) / 2,
c1.zoom))
extent['lat'] = center.lat
extent['lon'] = center.lon
if c1.zoom > 18:
extent['zoom'] = 18
else:
extent['zoom'] = c1.zoom
return extent
def preview_url(ul, ur, lr, ll):
'''
'''
merc = MercatorProjection(0)
ul = merc.rawUnproject(Point(*ul))
ur = merc.rawUnproject(Point(*ur))
lr = merc.rawUnproject(Point(*lr))
ll = merc.rawUnproject(Point(*ll))
q = dict(width='512', height='384', module='map')
ulx, uly, urx, ury, lrx, lry, llx, lly \
= [rad2deg(v) for v in (ul.x, ul.y, ur.x, ur.y, lr.x, lr.y, ll.x, ll.y)]
xmin, ymin = min(ulx, urx, lrx, llx), min(uly, ury, lry, lly)
xmax, ymax = max(uly, ury, lry, lly), max(ulx, urx, lrx, llx)
perimeter = (ulx, uly, urx, ury, lrx, lry, llx, lly, ulx, uly)
q.update(dict(polygons=','.join(['%.4f' % v for v in perimeter])))
q.update(dict(bbox=','.join(('%.4f' % xmin, '%.4f' % ymax, '%.4f' % xmax, '%.4f' % ymin))))
return 'http://pafciu17.dev.openstreetmap.org/?' + urlencode(q)
def __init__(self):
t = deriveTransformation(-pi, pi, 0, 0, pi, pi, 1, 0, -pi, -pi, 0, 1)
self.projection = MercatorProjection(0, t)
def get_projection():
''' Return the correct spherical mercator project for Nokia.
'''
# the spherical mercator world tile covers (-π, -π) to (π, π)
t = deriveTransformation(-pi, pi, 0, 0, pi, pi, 1, 0, -pi, -pi, 0, 1)
return MercatorProjection(0, t)
def __init__(self):
# these numbers are slightly magic.
t = Transformation(1.068070779e7, 0, 3.355443185e7,
0, -1.068070890e7, 3.355443057e7)
MercatorProjection.__init__(self, 26, t)