[points] haversine distance in a different method

This commit is contained in:
Al
2016-04-27 17:27:30 -04:00
parent d5dc34ec1d
commit 620f0594aa
2 changed files with 34 additions and 30 deletions

View File

@@ -0,0 +1,32 @@
import math
EARTH_RADIUS_KM = 6373
def haversine_distance(lat1, lon1, lat2, lon2, radius=EARTH_RADIUS_KM):
"""Calculate the Haversine distance between two lat/lon pairs, given by:
a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2)
c = 2 ⋅ atan2( √a, √(1a) )
d = R ⋅ c
where R is the radius of the Earth (in kilometers). By default we use 6373 km,
a radius optimized for calculating distances at approximately 39 degrees from
the equator i.e. Washington, DC
:param lat1: first latitude
:param lon1: first longitude (use negative range for longitudes West of the Prime Meridian)
:param lat2: second latitude
:param lon2: second longitude (use negative range for longitudes West of the Prime Meridian)
:param radius: radius of the Earth in (miles|kilometers) depending on the desired units
"""
lat1 = math.radians(lat1)
lat2 = math.radians(lat2)
lon1 = math.radians(lon1)
lon2 = math.radians(lon2)
dlon = lon2 - lon1
dlat = lat2 - lat1
a = (math.sin(dlat / 2.0)) ** 2 + math.cos(lat1) * math.cos(lat2) * (math.sin(dlon/2.0)) ** 2
c = 2 * math.atan2(math.sqrt(a), math.sqrt(1 - a))
d = radius * c
return d

View File

@@ -9,7 +9,7 @@ from collections import defaultdict, OrderedDict
from leveldb import LevelDB
EARTH_RADIUS_KM = 6373 # in km
from geodata.distance.haversine import haversine_distance
class PointIndex(object):
@@ -103,34 +103,6 @@ class PointIndex(object):
self.save_index()
self.save_properties(os.path.join(self.save_dir, self.DEFAULT_PROPS_FILENAME))
def haversine_distance(self, lat1, lon1, lat2, lon2, radius=EARTH_RADIUS_KM):
"""Calculate the Haversine distance between two lat/lon pairs, given by:
a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2)
c = 2 ⋅ atan2( √a, √(1a) )
d = R ⋅ c
where R is the radius of the Earth (in kilometers). By default we use 6373 km,
a radius optimized for calculating distances at approximately 39 degrees from
the equator i.e. Washington, DC
:param lat1: first latitude
:param lon1: first longitude (use negative range for longitudes West of the Prime Meridian)
:param lat2: second latitude
:param lon2: second longitude (use negative range for longitudes West of the Prime Meridian)
:param radius: radius of the Earth in (miles|kilometers) depending on the desired units
"""
lat1 = math.radians(lat1)
lat2 = math.radians(lat2)
lon1 = math.radians(lon1)
lon2 = math.radians(lon2)
dlon = lon2 - lon1
dlat = lat2 - lat1
a = (math.sin(dlat / 2.0)) ** 2 + math.cos(lat1) * math.cos(lat2) * (math.sin(dlon/2.0)) ** 2
c = 2 * math.atan2(math.sqrt(a), math.sqrt(1 - a))
d = radius * c
return d
def get_candidate_points(self, latitude, longitude):
code = geohash.encode(latitude, longitude)[:self.precision]
candidates = OrderedDict()
@@ -144,7 +116,7 @@ class PointIndex(object):
def point_distances(self, latitude, longitude):
candidates = self.get_candidate_points(latitude, longitude)
return [(i, lat, lon, self.haversine_distance(latitude, longitude, lat, lon)) for i, lat, lon in candidates]
return [(i, lat, lon, haversine_distance(latitude, longitude, lat, lon)) for i, lat, lon in candidates]
def nearest_n_points(self, latitude, longitude, n=2):
distances = self.point_distances(latitude, longitude)