Generating GPS coords within radius

coords.cpp

#include <iostream>
#include <string>
#include <random>
#include <cmath>

void getLocation(double x0, double y0, int radius) {
    std::random_device rd;
    std::uniform_int_distribution<int> dist(0,49);
    // Convert radius from meters to degrees
    double radiusInDegrees = radius / 111000.0;

    double u = dist(rd);
    double v = dist(rd);
    double w = radiusInDegrees * sqrt(u);
    double t = 2 * M_PI * v;
    double x = w * cos(t);
    double y = w * sin(t);

    // Adjust the x-coordinate for the shrinking of the east-west distances
    double new_x = x / cos(M_PI * y0);
    std::cout.precision(17);
    double foundLongitude = new_x + x0;
    double foundLatitude = y + y0;
    //std::cout << "Longitude: " ;
    std::cout << std::fixed << foundLongitude;
    std::cout << ", ";
    std::cout << std::fixed << foundLatitude << std::endl;
}
int main()
{
    for(int i=0; i < 20; i++)
  getLocation(-83.68930999146386, 43.02028045590756, 15);
}