In this tutorial, we will show you how to calculate the distance between two locations geolocated by using latitude and longitude in C#. This distance calculation uses the Spherical Law of Cosines, which uses trigonometry to measure the curvature of the earth, to accurately measure the distances on the Earth.
using System;
private double distance(double lat1, double lon1, double lat2, double lon2, char unit) {
if ((lat1 == lat2) && (lon1 == lon2)) {
return 0;
}
else {
double theta = lon1 - lon2;
double dist = Math.Sin(deg2rad(lat1)) * Math.Sin(deg2rad(lat2)) + Math.Cos(deg2rad(lat1)) * Math.Cos(deg2rad(lat2)) * Math.Cos(deg2rad(theta));
dist = Math.Acos(dist);
dist = rad2deg(dist);
dist = dist * 60 * 1.1515;
if (unit == 'K') {
dist = dist * 1.609344;
} else if (unit == 'N') {
dist = dist * 0.8684;
}
return (dist);
}
}
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//:: This function converts decimal degrees to radians :::
//:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
private double deg2rad(double deg) {
return (deg * Math.PI / 180.0);
}
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//:: This function converts radians to decimal degrees :::
//:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
private double rad2deg(double rad) {
return (rad / Math.PI * 180.0);
}
Console.WriteLine(distance(32.9697, -96.80322, 29.46786, -98.53506, "M"));
Console.WriteLine(distance(32.9697, -96.80322, 29.46786, -98.53506, "K"));
Console.WriteLine(distance(32.9697, -96.80322, 29.46786, -98.53506, "N"));
The code above creates the function named distance to calculate the distance between two locations. It implies the simple spherical law of cosines that gives well-conditioned results down to distances as small as a few meters on the Earth’s surface. The distance function makes use of the spherical law of cosines formula cos c = cos a cos b + sin a sin b cos C
and derived into the distance calculation.
Parameters that are passed to the distance function are:
lat1, lon1 = Latitude and Longitude of point 1 in decimal degrees
lat2, lon2 = Latitude and Longitude of point 2 in decimal degrees
unit = the unit you desire for results where ‘M’ is the statute miles (default), ‘K’ is kilometers and ‘N’ is nautical miles