Haversine Formula in Python (Bearing and Distance between two GPS points)
Here's a Python version:
from math import radians, cos, sin, asin, sqrtdef haversine(lon1, lat1, lon2, lat2): """ Calculate the great circle distance in kilometers between two points on the earth (specified in decimal degrees) """ # convert decimal degrees to radians lon1, lat1, lon2, lat2 = map(radians, [lon1, lat1, lon2, lat2]) # haversine formula dlon = lon2 - lon1 dlat = lat2 - lat1 a = sin(dlat/2)**2 + cos(lat1) * cos(lat2) * sin(dlon/2)**2 c = 2 * asin(sqrt(a)) r = 6371 # Radius of earth in kilometers. Use 3956 for miles. Determines return value units. return c * r
Most of these answers are "rounding" the radius of the earth. If you check these against other distance calculators (such as geopy), these functions will be off.
This works well:
from math import radians, cos, sin, asin, sqrtdef haversine(lat1, lon1, lat2, lon2): R = 3959.87433 # this is in miles. For Earth radius in kilometers use 6372.8 km dLat = radians(lat2 - lat1) dLon = radians(lon2 - lon1) lat1 = radians(lat1) lat2 = radians(lat2) a = sin(dLat/2)**2 + cos(lat1)*cos(lat2)*sin(dLon/2)**2 c = 2*asin(sqrt(a)) return R * c# Usagelon1 = -103.548851lat1 = 32.0004311lon2 = -103.6041946lat2 = 33.374939print(haversine(lat1, lon1, lat2, lon2))
There is also a vectorized implementation, which allows to use 4 numpy arrays instead of scalar values for coordinates:
def distance(s_lat, s_lng, e_lat, e_lng): # approximate radius of earth in km R = 6373.0 s_lat = s_lat*np.pi/180.0 s_lng = np.deg2rad(s_lng) e_lat = np.deg2rad(e_lat) e_lng = np.deg2rad(e_lng) d = np.sin((e_lat - s_lat)/2)**2 + np.cos(s_lat)*np.cos(e_lat) * np.sin((e_lng - s_lng)/2)**2 return 2 * R * np.arcsin(np.sqrt(d))