/* open source routing machine Copyright (C) Dennis Luxen, others 2010 This program is free software; you can redistribute it and/or modify it under the terms of the GNU AFFERO General Public License as published by the Free Software Foundation; either version 3 of the License, or any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA or see http://www.gnu.org/licenses/agpl.txt. */ #ifndef FIXED_POINT_COORDINATE_H_ #define FIXED_POINT_COORDINATE_H_ #include "../DataStructures/MercatorUtil.h" #include "../Util/StringUtil.h" #include #include #include #include static const double COORDINATE_PRECISION = 1000000.; struct FixedPointCoordinate { int lat; int lon; FixedPointCoordinate () : lat(INT_MIN), lon(INT_MIN) {} explicit FixedPointCoordinate (int lat, int lon) : lat(lat) , lon(lon) {} void Reset() { lat = INT_MIN; lon = INT_MIN; } bool isSet() const { return (INT_MIN != lat) && (INT_MIN != lon); } inline bool isValid() const { if( lat > 90*COORDINATE_PRECISION || lat < -90*COORDINATE_PRECISION || lon > 180*COORDINATE_PRECISION || lon < -180*COORDINATE_PRECISION ) { return false; } return true; } bool operator==(const FixedPointCoordinate & other) const { return lat == other.lat && lon == other.lon; } }; inline std::ostream & operator<<(std::ostream & out, const FixedPointCoordinate & c){ out << "(" << c.lat << "," << c.lon << ")"; return out; } inline double ApproximateDistance( const int lat1, const int lon1, const int lat2, const int lon2 ) { assert(lat1 != INT_MIN); assert(lon1 != INT_MIN); assert(lat2 != INT_MIN); assert(lon2 != INT_MIN); double RAD = 0.017453292519943295769236907684886; double lt1 = lat1/COORDINATE_PRECISION; double ln1 = lon1/COORDINATE_PRECISION; double lt2 = lat2/COORDINATE_PRECISION; double ln2 = lon2/COORDINATE_PRECISION; double dlat1=lt1*(RAD); double dlong1=ln1*(RAD); double dlat2=lt2*(RAD); double dlong2=ln2*(RAD); double dLong=dlong1-dlong2; double dLat=dlat1-dlat2; double aHarv= pow(sin(dLat/2.0),2.0)+cos(dlat1)*cos(dlat2)*pow(sin(dLong/2.),2); double cHarv=2.*atan2(sqrt(aHarv),sqrt(1.0-aHarv)); //earth's radius from wikipedia varies between 6,356.750 km — 6,378.135 km (˜3,949.901 — 3,963.189 miles) //The IUGG value for the equatorial radius of the Earth is 6378.137 km (3963.19 mile) const double earth=6372797.560856;//I am doing miles, just change this to radius in kilometers to get distances in km double distance=earth*cHarv; return distance; } inline double ApproximateDistance(const FixedPointCoordinate &c1, const FixedPointCoordinate &c2) { return ApproximateDistance( c1.lat, c1.lon, c2.lat, c2.lon ); } inline double ApproximateEuclideanDistance(const FixedPointCoordinate &c1, const FixedPointCoordinate &c2) { assert(c1.lat != INT_MIN); assert(c1.lon != INT_MIN); assert(c2.lat != INT_MIN); assert(c2.lon != INT_MIN); const double RAD = 0.017453292519943295769236907684886; const double lat1 = (c1.lat/COORDINATE_PRECISION)*RAD; const double lon1 = (c1.lon/COORDINATE_PRECISION)*RAD; const double lat2 = (c2.lat/COORDINATE_PRECISION)*RAD; const double lon2 = (c2.lon/COORDINATE_PRECISION)*RAD; const double x = (lon2-lon1) * cos((lat1+lat2)/2.); const double y = (lat2-lat1); const double earthRadius = 6372797.560856; const double d = sqrt(x*x + y*y) * earthRadius; return d; } static inline void convertInternalLatLonToString(const int value, std::string & output) { char buffer[100]; buffer[10] = 0; // Nullterminierung char* string = printInt< 10, 6 >( buffer, value ); output = string; } static inline void convertInternalCoordinateToString(const FixedPointCoordinate & coord, std::string & output) { std::string tmp; convertInternalLatLonToString(coord.lon, tmp); output = tmp; output += ","; convertInternalLatLonToString(coord.lat, tmp); output += tmp; output += " "; } static inline void convertInternalReversedCoordinateToString(const FixedPointCoordinate & coord, std::string & output) { std::string tmp; convertInternalLatLonToString(coord.lat, tmp); output = tmp; output += ","; convertInternalLatLonToString(coord.lon, tmp); output += tmp; output += " "; } /* Get angle of line segment (A,C)->(C,B), atan2 magic, formerly cosine theorem*/ template static inline double GetAngleBetweenThreeFixedPointCoordinates ( const CoordinateT & A, const CoordinateT & C, const CoordinateT & B ) { const double v1x = (A.lon - C.lon)/COORDINATE_PRECISION; const double v1y = lat2y(A.lat/COORDINATE_PRECISION) - lat2y(C.lat/COORDINATE_PRECISION); const double v2x = (B.lon - C.lon)/COORDINATE_PRECISION; const double v2y = lat2y(B.lat/COORDINATE_PRECISION) - lat2y(C.lat/COORDINATE_PRECISION); double angle = (atan2(v2y,v2x) - atan2(v1y,v1x) )*180/M_PI; while(angle < 0) angle += 360; return angle; } #endif /* FIXED_POINT_COORDINATE_H_ */