# Scala: Calculating the Distance Between Two Locations

# Scala: Calculating the Distance Between Two Locations

### Time to put your trigonometry hats on to see how you can calculate the distance between coordinates on the globe in Scala.

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Hey, folks!

Recently I came along a use case where I needed to find out the distance between two location coordinates. In today’s blog, we are going to solve this problem by implementing the haversine formula in Scala.

Just FYI, the **haversine formula** determines the great-circle distance between two points on a sphere given their longitudes and latitudes. Important in navigation, it is a special case of a more general formula in spherical trigonometry, the **law of haversines**, that relates the sides and angles of spherical triangles.

**Law of Haversines**

**Haversine Formula**

For any two points on a sphere, the haversine of the central angle between them is given by:

Where

- hav is the haversine function:

*d*is the distance between the two points (along a great circle of the sphere; see spherical distance).*r*is the radius of the sphere.*φ*_{1},*φ*_{2}: latitude of point 1 and latitude of point 2, in radians.*λ*_{1},*λ*_{2}: longitude of point 1 and longitude of point 2, in radians.

So, without wasting any more time, let’s get started with the code.

```
case class Location(lat: Double, lon: Double)
trait DistanceCalcular {
def calculateDistanceInKilometer(userLocation: Location, warehouseLocation: Location): Int
}
class DistanceCalculatorImpl extends DistanceCalcular {
private val AVERAGE_RADIUS_OF_EARTH_KM = 6371
override def calculateDistanceInKilometer(userLocation: Location, warehouseLocation: Location): Int = {
val latDistance = Math.toRadians(userLocation.lat - warehouseLocation.lat)
val lngDistance = Math.toRadians(userLocation.lon - warehouseLocation.lon)
val sinLat = Math.sin(latDistance / 2)
val sinLng = Math.sin(lngDistance / 2)
val a = sinLat * sinLat +
(Math.cos(Math.toRadians(userLocation.lat)) *
Math.cos(Math.toRadians(warehouseLocation.lat)) *
sinLng * sinLng)
val c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a))
(AVERAGE_RADIUS_OF_EARTH_KM * c).toInt
}
}
new DistanceCalculatorImpl().calculateDistanceInKilometer(Location(10, 20), Location(40, 20))
```

As you can see, this is the Scala implementation of the haversine formula, and it computes the distance in a pretty simple way.

You can see the compiled version of the code here on Scala Fiddle:

You can also verify your output from here: National Hurricane Center

They are approximately the same. Hence, in this way, we can get the distance between two locations.

If you have any queries, you can contact me here or on twitter:@shiv4nsh

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Published at DZone with permission of Shivansh Srivastava , DZone MVB. See the original article here.

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