def hex_bins(osm_buffer_gpkg_path, study_area, gdf_osm_destinations_clipped):
boundary = gpd.read_file(osm_buffer_gpkg_path, layer="urban_study_region")
gdf_boundary = boundary["geometry"]
xmin, ymin, xmax, ymax = gdf_boundary.total_bounds # lat-long of 2 corners
xmin -= 500
xmax += 500
ymin -= 500
ymax += 500
# East-West extent of urban_study_region
EW = xmax - xmin
# North-South extent of urban_study_region
NS = ymax - ymin
# Hexagon bins diameter should equal 500 meters
d = 500
# horizontal width of hexagon = w = d* sin(60)
w = d * np.sin(np.pi / 3)
# Approximate number of hexagons per row = EW/w
n_cols = int(EW / d) + 1
# Approximate number of hexagons per column = NS/d
n_rows = int(NS / w) + 1
w = (xmax - xmin) / n_cols # width of hexagon
d = w / np.sin(np.pi / 3) # diameter of hexagon 500 meters
array_of_hexes = []
# +1 added to n_rows since the range function runs from 0 through (n-1), and the number of rows of hexgons plotted
# was one less than the expcted number of rows.
for rows in range(0, n_rows + 1):
hcoord = np.arange(xmin, xmax, w) + (rows % 2) * w / 2
vcoord = [ymax - rows * d * 0.75] * n_cols
for x, y in zip(hcoord, vcoord):
hexes = RegularPolygon((x, y),
numVertices=6,
radius=d / 2,
alpha=0.2,
edgecolor="k")
verts = hexes.get_path().vertices
trans = hexes.get_patch_transform()
points = trans.transform(verts)
array_of_hexes.append(Polygon(points))
# turn study_area polygon into gdf with correct CRS
gdf_boundary = gpd.GeoDataFrame(geometry=[study_area],
crs=gdf_osm_destinations_clipped.crs)
gdf_boundary = gpd.GeoDataFrame(gdf_boundary)
hex_grid = gpd.GeoDataFrame({"geometry": array_of_hexes})
hex_grid_clipped = gpd.overlay(hex_grid, gdf_boundary)
hex_grid_clipped = gpd.GeoDataFrame(hex_grid_clipped, geometry="geometry")
return gdf_boundary, hex_grid_clipped
def make_hexmap(MAREA=None, d=300):
'''Takes a shapefile and fills it with hexagons of diameter d.
Args:
MAREA (GeoDataFrame) : Polygon of boundaries of a given city.
d : desired hexagon diameter
Returns:
gdf (GeoDataFrame) : Hexagon grid GeoDataFrame
'''
xmin, ymin, xmax, ymax = MAREA.total_bounds # lat-long of 2 corners
#East-West extent of Toronto = 42193 metres
EW = haversine((xmin, ymin), (xmax, ymin))
# North-South extent of Toronto = 30519 metres
NS = haversine((xmin, ymin), (xmin, ymax))
# diameter of each hexagon in the grid = 900 metres
d = 300
# horizontal width of hexagon = w = d* sin(60)
w = d * np.sin(np.pi / 3)
# Approximate number of hexagons per row = EW/w
n_cols = int(EW / w) + 1
# Approximate number of hexagons per column = NS/d
n_rows = int(NS / d) + 1
# Make hexagons
w = (xmax - xmin) / n_cols # width of hexagon
d = w / np.sin(np.pi / 3) #diameter of hexagon
array_of_hexes = []
for rows in range(0, n_rows):
hcoord = np.arange(xmin, xmax, w) + (rows % 2) * w / 2
vcoord = [ymax - rows * d * 0.75] * n_cols
for x, y in zip(hcoord, vcoord): #, colors):
hexes = RegularPolygon((x, y),
numVertices=6,
radius=d / 2,
alpha=0.2,
edgecolor='k')
verts = hexes.get_path().vertices
trans = hexes.get_patch_transform()
points = trans.transform(verts)
array_of_hexes.append(Polygon(points))
#ax.add_patch(hexes)
# make final geodataframe
hex_grid = gpd.GeoDataFrame({'geometry': array_of_hexes},
crs={'init': 'epsg:4326'})
MAREA_hex = gpd.overlay(hex_grid, MAREA)
#MAREA_hex = hex_grid
MAREA_hex = gpd.GeoDataFrame(MAREA_hex, geometry='geometry')
MAREA_hex = MAREA_hex.reset_index()
return MAREA_hex
class ClipWindow:
def __init__(self, ax, line):
self.ax = ax
ax.set_title('drag polygon around to test clipping')
self.canvas = ax.figure.canvas
self.line = line
self.poly = RegularPolygon((200, 200),
numVertices=10,
radius=100,
facecolor='yellow',
alpha=0.25,
transform=transforms.IdentityTransform())
ax.add_patch(self.poly)
self.canvas.mpl_connect('button_press_event', self.onpress)
self.canvas.mpl_connect('button_release_event', self.onrelease)
self.canvas.mpl_connect('motion_notify_event', self.onmove)
self.x, self.y = None, None
def onpress(self, event):
self.x, self.y = event.x, event.y
def onrelease(self, event):
self.x, self.y = None, None
def onmove(self, event):
if self.x is None: return
dx = event.x - self.x
dy = event.y - self.y
self.x, self.y = event.x, event.y
x, y = self.poly.xy
x += dx
y += dy
#print self.y, event.y, dy, y
self.poly.xy = x, y
self._clip()
def _clip(self):
self.line.set_clip_path(self.poly.get_path(),
self.poly.get_transform())
self.canvas.draw_idle()
class ClipWindow:
def __init__(self, ax, line):
self.ax = ax
ax.set_title('drag polygon around to test clipping')
self.canvas = ax.figure.canvas
self.line = line
self.poly = RegularPolygon(
(200, 200), numVertices=10, radius=100,
facecolor='yellow', alpha=0.25,
transform=transforms.IdentityTransform())
ax.add_patch(self.poly)
self.canvas.mpl_connect('button_press_event', self.onpress)
self.canvas.mpl_connect('button_release_event', self.onrelease)
self.canvas.mpl_connect('motion_notify_event', self.onmove)
self.x, self.y = None, None
def onpress(self, event):
self.x, self.y = event.x, event.y
def onrelease(self, event):
self.x, self.y = None, None
def onmove(self, event):
if self.x is None: return
dx = event.x - self.x
dy = event.y - self.y
self.x, self.y = event.x, event.y
x, y = self.poly.xy
x += dx
y += dy
#print self.y, event.y, dy, y
self.poly.xy = x,y
self._clip()
def _clip(self):
self.line.set_clip_path(self.poly.get_path(), self.poly.get_transform())
self.canvas.draw_idle()
def get_nodes_within_hexagon(self, center, radius, stream_id):
"""
Get nodes inside a hexagon
:param center: x+yj
:param radius: float
:param stream_id: str
:return: array of ints (neuron indices)
"""
output_grid = self.corem_positions[stream_id]
hexagon = RegularPolygon((center.real, center.imag), 6, radius=radius)
hexagon_path = hexagon.get_path(
) # matplotlib returns the unit hexagon
hexagon_tf = hexagon.get_transform(
) # which can then be transformed to give the real path
real_hexagon_path = hexagon_tf.transform_path(hexagon_path)
output_grid_tuples = [(z.real, z.imag) for z in output_grid]
wanted_indices = np.where(
real_hexagon_path.contains_points(output_grid_tuples))
return wanted_indices[0]
# Approximate number of hexagons per column = NS/d
n_rows = int(NS / d) + 10
# Make a hexagonal grid to cover the entire area
from matplotlib.patches import RegularPolygon
ax = TIME_EDGES.boundary.plot(edgecolor='black', figsize=(20, 60))
w = (xmax - xmin) / n_cols # width of hexagon
d = w / np.sin(np.pi / 3) # diameter of hexagon
array_of_hexes = []
for rows in range(0, n_rows):
hcoord = np.arange(xmin, xmax, w) + (rows % 2) * w / 2
vcoord = [ymax - rows * d * 0.75] * n_cols
for x, y in zip(hcoord, vcoord): # , colors):
hexes = RegularPolygon((x, y), numVertices=6, radius=d / 2, alpha=0.2, edgecolor='k')
verts = hexes.get_path().vertices
trans = hexes.get_patch_transform()
points = trans.transform(verts)
array_of_hexes.append(Polygon(points))
ax.add_patch(hexes)
ax.set_xlim([xmin, xmax])
ax.set_ylim([ymin, ymax])
hex_grid = gpd.GeoDataFrame({'geometry': array_of_hexes}, crs={'init': 'epsg:4326'})
# hex_grid = gpd.GeoDataFrame({'geometry':array_of_hexes},crs={'init':'epsg:3035'})
# hex_grid.plot()
#############################################################################################
# create basemap
ave_LAT = 37.53988692816245