/usr/include/osgEarth/GeoMath is in libosgearth-dev 2.7.0+dfsg-2+b3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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/* osgEarth - Dynamic map generation toolkit for OpenSceneGraph
* Copyright 2015 Pelican Mapping
* http://osgearth.org
*
* osgEarth is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) 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 Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>
*/
#ifndef OSGEARTH_GEOMATH_H
#define OSGEARTH_GEOMATH_H 1
#include <osgEarth/Common>
#include <osgEarth/GeoCommon>
#include <osgEarth/SpatialReference>
#include <osg/CoordinateSystemNode>
#include <osg/Plane>
namespace osgEarth
{
/**
* Useful calculations for lat/long points.
* Converted from http://www.movable-type.co.uk/scripts/latlong.html
*/
class OSGEARTH_EXPORT GeoMath
{
public:
/**
*Computes the distance between the given points in meters using the Haversine formula
* @param lat1Rad
* The start latitude in radians
* @param lon1Rad
* The start longitude in radians
* @param lat2Rad
* The end latitude in radians
* @param lon2Rad
* The end longitude in radians
* @param radius
* The radius of the earth in meters
* @returns
* The distance between the two points in meters
*/
static double distance(double lat1Rad, double lon1Rad,
double lat2Rad, double lon2Rad,
double radius = osg::WGS_84_RADIUS_EQUATOR);
/**
*Computes the distance covered by the given path in meters using the Haversine formula
*Assumes the points in Lon, Lat in degrees
*/
static double distance(const std::vector< osg::Vec3d > &points, double radius = osg::WGS_84_RADIUS_EQUATOR);
/**
* Computes the distance between two points, in meters.
*/
static double distance(const osg::Vec3d& p1, const osg::Vec3d& p2, const SpatialReference* srs);
/**
* Computes the initial bearing from one point to the next in radians
* @param lat1Rad
* The start latitude in radians
* @param lon1Rad
* The start longitude in radians
* @param lat2Rad
* The end latitude in radians
* @param lon2Rad
* The end longitude in radians
* @returns
* The initial bearing in radians
*/
static double bearing(double lat1Rad, double lon1Rad,
double lat2Rad, double lon2Rad);
/**
*Computes the midpoint between two points
* @param lat1Rad
* The start latitude in radians
* @param lon1Rad
* The start longitude in radians
* @param lat2Rad
* The end latitude in radians
* @param lon2Rad
* The end longitude in radians
* @param out_latRad
* The latitude of the midpoint in radians
* @param out_lonRad
* The longitude of the midpoint in radians
*/
static void midpoint(double lat1Rad, double lon1Rad,
double lat2Rad, double lon2Rad,
double &out_latRad, double &out_lonRad);
/**
* Computes a great-circle interpolation from one lat/long to another,
* where t => [0..1].
*/
static void interpolate(
double lat1Rad, double lon1Rad,
double lat2Rad, double lon2Rad,
double t,
double& out_latRad, double& out_lonRad );
/**
* Computes the destination point given a start point, a bearing and a distance
* @param lat1Rad
* The latitude in radians
* @param lon1Rad
* The longitude in radians
* @param bearingRad
* The bearing in radians
* @param distance
* The distance in meters
* @param out_latRad
* The destination point's latitude in radians
* @param out_lonRad
* The destination points' longitude in radians
* @param radius
* The radius of the earth in meters
*/
static void destination(double lat1Rad, double lon1Rad,
double bearingRad, double distance,
double &out_latRad, double &out_lonRad,
double radius = osg::WGS_84_RADIUS_EQUATOR);
/**
* Calculates the minimum and maximum latitudes along a great circle
* between the two geodetic input points.
*/
static void greatCircleMinMaxLatitude(
double lat1Rad, double lon1Rad,
double lat2Rad, double lon2Rad,
double& out_minLatRad, double& out_maxLatRad);
/**
* Computes the distance between two points in meters following a rhumb line
* @param lat1Rad
* The start latitude in radians
* @param lon1Rad
* The start longitude in radians
* @param lat2Rad
* The end latitude in radians
* @param lon2Rad
* The end longitude in radians
* @param radius
* The radius of the earth in meters
* @returns
* The distance between the two points in meters following a rhumb line
*/
static double rhumbDistance(double lat1Rad, double lon1Rad,
double lat2Rad, double lon2Rad,
double radius = osg::WGS_84_RADIUS_EQUATOR);
/**
* Computes the distance between two points in meters following a rhumb line
* Assumes the points are in Lon, Lat in degrees
*/
static double rhumbDistance(const std::vector< osg::Vec3d > &points, double radius = osg::WGS_84_RADIUS_EQUATOR);
/**
*Computes the bearing of the rhumb line between two points in radians
* @param lat1Rad
* The start latitude in radians
* @param lon1Rad
* The start longitude in radians
* @param lat2Rad
* The end latitude in radians
* @param lon2Rad
* The end longitude in radians
*/
static double rhumbBearing(double lat1Rad, double lon1Rad,
double lat2Rad, double lon2Rad);
/** Computes the destination point given a start point, a bearing and a distance along a rhumb line
* @param lat1Rad
* The latitude in radians
* @param lon1Rad
* The longitude in radians
* @param bearingRad
* The bearing in radians
* @param distance
* The distance in meters
* @param out_latRad
* The destination point's latitude in radians
* @param out_lonRad
* The destination points' longitude in radians
* @param radius
* The radius of the earth in meters
*/
static void rhumbDestination(double lat1Rad, double lon1Rad,
double bearing, double distance,
double &out_latRad, double &out_lonRad,
double radius = osg::WGS_84_RADIUS_EQUATOR);
/**
* Computes the intersection(s) of a line with a sphere.
* Returns the number of intersections: 0, 1, or 2.
*/
static unsigned interesectLineWithSphere(const osg::Vec3d& p0,
const osg::Vec3d& p1,
double radius,
osg::Vec3d& out_i0,
osg::Vec3d& out_i1);
/**
* Computes the intersection(s) of a line with a plane.
* Returns the number of intersections: 0 or 1.
*/
static unsigned intersectLineWithPlane(const osg::Vec3d& p0,
const osg::Vec3d& p1,
const osg::Plane& plane,
osg::Vec3d& out_i0);
/**
* Whether the target point is visible from the eye point in a
* spherical earth approximation with the given Radius.
*/
static bool isPointVisible(const osg::Vec3d& eye,
const osg::Vec3d& target,
double radius = osg::WGS_84_RADIUS_EQUATOR);
};
};
#endif
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