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  1. #include<iostream>
  2. #include<iomanip>
  3. #include<cmath>
  4.  
  5.  
  6. // Source: // http://w...content-available-to-author-only...o.uk/scripts/latlong.html
  7.  
  8. static const double PI = 3.14159265358979323846, earthDiameterMeters = 6371.0 * 2 * 1000;
  9.  
  10. double degreeToRadian (const double degree) { return (degree * PI / 180); };
  11. double radianToDegree (const double radian) { return (radian * 180 / PI); };
  12.  
  13. double CoordinatesToAngle (double latitude1,
  14.                            const double longitude1,
  15.                            double latitude2,
  16.                            const double longitude2)
  17. {
  18.   const auto longitudeDifference = degreeToRadian(longitude2 - longitude1);
  19.   latitude1 = degreeToRadian(latitude1);
  20.   latitude2 = degreeToRadian(latitude2);
  21.  
  22.   using namespace std;
  23.   const auto x = (cos(latitude1) * sin(latitude2)) -
  24.                  (sin(latitude1) * cos(latitude2) * cos(longitudeDifference));
  25.   const auto y = sin(longitudeDifference) * cos(latitude2);
  26.  
  27.   const auto degree = radianToDegree(atan2(y, x));
  28.   return (degree >= 0)? degree : (degree + 360);
  29. }
  30.  
  31. double CoordinatesToMeters (double latitude1,
  32.                             double longitude1,
  33.                             double latitude2,
  34.                             double longitude2)
  35. {
  36.   latitude1 = degreeToRadian(latitude1);
  37.   longitude1 = degreeToRadian(longitude1);
  38.   latitude2 = degreeToRadian(latitude2);
  39.   longitude2 = degreeToRadian(longitude2);
  40.  
  41.   using namespace std;
  42.   auto x = sin((latitude2 - latitude1) / 2), y = sin((longitude2 - longitude1) / 2);
  43. #if 1
  44.   return earthDiameterMeters * asin(sqrt((x * x) + (cos(latitude1) * cos(latitude2) * y * y)));
  45. #else
  46.   auto value = (x * x) + (cos(latitude1) * cos(latitude2) * y * y);
  47.   return earthDiameterMeters * atan2(sqrt(value), sqrt(1 - value));
  48. #endif
  49. }
  50.  
  51. std::pair<double,double> CoordinateToCoordinate (double latitude,
  52.                                                  double longitude,
  53.                                                  double angle,
  54.                                                  double meters)
  55. {
  56.   latitude = degreeToRadian(latitude);
  57.   longitude = degreeToRadian(longitude);
  58.   angle = degreeToRadian(angle);
  59.   meters *= 2 / earthDiameterMeters;
  60.  
  61.   using namespace std;
  62.   pair<double,double> coordinate;
  63.  
  64.   coordinate.first = radianToDegree(asin((sin(latitude) * cos(meters))
  65.                              + (cos(latitude) * sin(meters) * cos(angle))));
  66.   coordinate.second = radianToDegree(longitude
  67.                     + atan2((sin(angle) * sin(meters) * cos(latitude)),
  68.                     cos(meters) - (sin(latitude) * sin(coordinate.first))));
  69.  
  70.   return coordinate;
  71. }
  72.  
  73. int main ()
  74. {
  75.   using namespace std;
  76.   const auto latitude1 = 12.968460, longitude1 = 77.641308,
  77.              latitude2 = 12.967862, longitude2 = 77.653130;
  78.  
  79.   cout << std::setprecision(10);
  80.   cout << "(" << latitude1 << "," << longitude1 << ") --- "
  81.           "(" << latitude2 << "," << longitude2 << ")\n";
  82.  
  83.   auto angle = CoordinatesToAngle(latitude1, longitude1, latitude2, longitude2);
  84.   cout << "Angle =  " << angle << endl;
  85.  
  86.   auto meters = CoordinatesToMeters(latitude1, longitude1, latitude2, longitude2);
  87.   cout << "Meters = " << meters << endl;
  88.  
  89.   auto coordinate = CoordinateToCoordinate(latitude1, longitude1, angle, meters);
  90.   cout << "Destination = (" << coordinate.first << "," << coordinate.second << ")\n";
  91. }
  92.  
Success #stdin #stdout 0s 3460KB
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(12.96846,77.641308) --- (12.967862,77.65313)
Angle =  92.97009105
Meters = 1282.743434
Destination = (12.967862,77.65361386)
https://ideone.com/I4sT0f
language:
C++14 (gcc 8.3)
created:
8 years ago
visibility:
public

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