-
-
-// Find the Altitude above the Ellipsoid (WGS84) given the Earth
-// Centered Cartesian coordinate vector Distances are specified in
-// meters.
-double sgGeodAltFromCart(const Point3D& cp);
-
-
-// Convert a polar coordinate to a cartesian coordinate. Lon and Lat
-// must be specified in radians. The SG convention is for distances
-// to be specified in meters
-inline Point3D sgPolarToCart3d(const Point3D& p) {
- double tmp = cos( p.lat() ) * p.radius();
-
- return Point3D( cos( p.lon() ) * tmp,
- sin( p.lon() ) * tmp,
- sin( p.lat() ) * p.radius() );
-}
-
-
-// Convert a cartesian coordinate to polar coordinates (lon/lat
-// specified in radians. Distances are specified in meters.
-inline Point3D sgCartToPolar3d(const Point3D& cp) {
- return Point3D( atan2( cp.y(), cp.x() ),
- SGD_PI_2 -
- atan2( sqrt(cp.x()*cp.x() + cp.y()*cp.y()), cp.z() ),
- sqrt(cp.x()*cp.x() + cp.y()*cp.y() + cp.z()*cp.z()) );
-}
-
-
-// calc new lon/lat given starting lon/lat, and offset radial, and
-// distance. NOTE: starting point is specifed in radians, distance is
-// specified in meters (and converted internally to radians)
-// ... assumes a spherical world
-inline Point3D calc_gc_lon_lat( const Point3D& orig, double course,
- double dist ) {
- Point3D result;
-
- // lat=asin(sin(lat1)*cos(d)+cos(lat1)*sin(d)*cos(tc))
- // IF (cos(lat)=0)
- // lon=lon1 // endpoint a pole
- // ELSE
- // lon=mod(lon1-asin(sin(tc)*sin(d)/cos(lat))+pi,2*pi)-pi
- // ENDIF
-
- // printf("calc_lon_lat() offset.theta = %.2f offset.dist = %.2f\n",
- // offset.theta, offset.dist);
-
- dist *= SG_METER_TO_NM * SG_NM_TO_RAD;
-
- result.sety( asin( sin(orig.y()) * cos(dist) +
- cos(orig.y()) * sin(dist) * cos(course) ) );
-
- if ( cos(result.y()) < SG_EPSILON ) {
- result.setx( orig.x() ); // endpoint a pole
- } else {
- result.setx(
- fmod(orig.x() - asin( sin(course) * sin(dist) /
- cos(result.y()) )
- + SGD_PI, SGD_2PI) - SGD_PI );
- }
-
- return result;
-}
-
-
-// calc course/dist
+#include "SGMath.hxx"
+
+/**
+ * Calculate new lon/lat given starting lon/lat, and offset radial, and
+ * distance. NOTE: starting point is specifed in radians, distance is
+ * specified in meters (and converted internally to radians)
+ * ... assumes a spherical world.
+ * @param orig specified in polar coordinates
+ * @param course offset radial
+ * @param dist offset distance
+ * @return destination point in polar coordinates
+ */
+inline Point3D calc_gc_lon_lat(const Point3D& orig, double course, double dist)
+{ return Point3D::fromSGGeoc(orig.toSGGeoc().advanceRadM(course, dist)); }
+
+
+/**
+ * Calculate course/dist given two spherical points.
+ * @param start starting point
+ * @param dest ending point
+ * @param course resulting course
+ * @param dist resulting distance
+ */