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# rochacbruno/haversine.py

Created June 6, 2012 17:43
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Calculate distance between latitude longitude pairs with Python
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 #!/usr/bin/env python # Haversine formula example in Python # Author: Wayne Dyck import math def distance(origin, destination): lat1, lon1 = origin lat2, lon2 = destination radius = 6371 # km dlat = math.radians(lat2-lat1) dlon = math.radians(lon2-lon1) a = math.sin(dlat/2) * math.sin(dlat/2) + math.cos(math.radians(lat1)) \ * math.cos(math.radians(lat2)) * math.sin(dlon/2) * math.sin(dlon/2) c = 2 * math.atan2(math.sqrt(a), math.sqrt(1-a)) d = radius * c return d

### martinym commented Jun 24, 2013

@osph, you could use the function with those values by adding code like this to the end:

```lat1 = 40.5; lat2 = 42; long1 = -90; long2 = -93
print( distance((lat1, long1), (lat2, long2)) )```

However it would be better to save the original script in a file named`haversine.py`and then create separate scripts that use the function defined in it. This makes it a module which could be used with something like the following in these other scripts:

```import haversine

lat1 = 40.5; lat2 = 42; long1 = -90; long2 = -93
print( haversine.distance((lat1, long1), (lat2, long2)) )```

The script may have been written in IDLE, or any one of several other programming tools, including just a plain text editor -- it doesn't really matter.

### marioidival commented May 12, 2014

If i want use with miles? radius can be 3959?

### Hezi-Resheff commented Jun 24, 2014

Thank you! you just made some Ecologist very happy :)

### nueverest commented Feb 14, 2015

@marioidival The units of the equation are determined by the units of 'radius'. Which corresponds to the spherical radius of the Earth.

3959 # radius of the great circle in miles...some algorithms use 3956
6371 # radius in kilometers...some algorithms use 6367
3959 * 5280 # radius in feet
6371 * 1000 # radius in meters

### RosiersRobin commented Mar 13, 2017

Can this be modded to work with ALOT of longtitudes and latitudes?

### musicpiano commented Jun 9, 2018

Thank you very much. I study atmospheric science. Your program is useful for me.

### MalyutinS commented Aug 7, 2018

Vector implementation (you can pass 4 numpy arrays instead of scalar values):

``````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

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))
``````

### killerontherun1 commented Aug 30, 2018

Thanks so much! Just what I needed.

Great! Thanks!

### Zagroz commented Mar 9, 2019

Hello, thank you very much for this masterpiece. But my concern is how to do so when you have an excel file, I have bunch of cities and finding the distance from those cities to one reference point (which is also a city). Thanks

### fudigit commented Jun 1, 2019

Thanks much , this helped a machine learning engineer.

### AnguKumar commented Jun 1, 2019

Hi
I need to find the distance between two gps trajectories, from US 101 dataset, which covers totally 2000ft distance.

"Vehicle ID","Frame ID","Total Frames","Global Time","Local X","Local Y","Global X","Global Y","V_Len","V_Width","V_Class","V_Vel","V_Acc","Lane_ID","Pre_Veh","Fol_Veh","Spacing","Headway"

2,13,437,1118846980200,16.467,35.381,6451137.641,1873344.962,14.5,4.9,2,40.00,0.00,2,0,0,0.00,0.00
2,14,437,1118846980300,16.447,39.381,6451140.329,1873342.000,14.5,4.9,2,40.00,0.00,2,0,0,0.00,0.00
2,15,437,1118846980400,16.426,43.381,6451143.018,1873339.038,14.5,4.9,2,40.00,0.00,2,0,0,0.00,0.00
2,16,437,1118846980500,16.405,47.380,6451145.706,1873336.077,14.5,4.9,2,40.00,0.00,2,0,0,0.00,0.00
2,17,437,1118846980600,16.385,51.381,6451148.395,1873333.115,14.5,4.9,2,40.00,0.00,2,0,0,0.00,0.00

But when I am trying to find the distance between two adjacent points of the same vehicle, Its giving

in more than 20 kms..

Can any you help me to find the distance between two adjacent trajectories
I need to segregate the dataset into subsections covering 200ft distance each..

### joaovs12 commented Sep 4, 2019

Hello, I have a list with 700 cities and I want to find the city where the sum of distances will be minimun
I defined a function that will give me that sum, but what I should do to find the lat,long where the sum of distances will be minimum? tks

### zuzhaoye commented Dec 14, 2019

Thank you! @MalyutinS

### manikyalarao16 commented Feb 11, 2020

Hello i have two co-ordinates values sources and destination ,my source co-ordinates values are changing when i move robot , for that i have to calculate distance for each positional values pls help me how to write python code for that

Hello i have two co-ordinates values sources and destination ,my source co-ordinates values are changing when i move robot , for that i have to calculate the distance for each positional values pls help me how to write python code for that

#I am adding the code to calculate the distance between two coordinates, you can call this function inside a for loop to get the distance between source and destination as soon as your bot makes a displacement.

``````def distance(source , destination):
lat1, lon1 = source [0],source [1]
lat2, lon2 = destination[0],destination[1]
a = math.sin(dlat/2) * math.sin(dlat/2) + math.cos(math.radians(lat1)) \
* math.cos(math.radians(lat2)) * math.sin(dlon/2) * math.sin(dlon/2)
c = 2 * math.atan2(math.sqrt(a), math.sqrt(1-a))
d = d*1000  #Converting distance to Metre as bot will make small displacements
return d
``````

#CALLING THE FUNCTION

``````source = [lat1, lon1] #Coordinates for the initial position of the robot
distance_measured = 0 #initially total distance covered by bot is 0.
Loop:
new_latitude = GPS.latitude #  get current latitude of bot
new_longitude = GPS.longitude # get current longitude bot
destination = [new_latitude , new_longitude ]
if (distance(source, destination) != 0):
distance_measured = distance_measured + distance(source, destination)
last_latitude = new_latitude
last_longitude = new_longitude
source =[last_latitude,last_longitude]
``````

# Hope this helps!!

Hello, thank you very much for this masterpiece. But my concern is how to do so when you have an excel file, I have bunch of cities and finding the distance from those cities to one reference point (which is also a city). Thanks

Hello @Zagroz, did you able to find the distances from an excel file using this code? I am also stuck in similar kind of situation. Thank you!

### vivek1240 commented Jul 29, 2020

Hello, thank you very much for this masterpiece. But my concern is how to do so when you have an excel file, I have a bunch of cities and finding the distance from those cities to one reference point (which is also a city). Thanks

Hello @Zagroz, did you able to find the distances from an excel file using this code? I am also stuck in a similar kind of situation. Thank you!

Hello, I have implemented something similar to what you are trying to do. You can visit my repo which involves what you desire. The link is here:

https://github.com/vivek1240/k-means-clustering-via-haversine-distance-/blob/master/clustering_stores_via_haversine_distance_kmeans.ipynb