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PolarStereographic.hpp
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/**
* \file PolarStereographic.hpp
* \brief Header for GeographicLib::PolarStereographic class
*
* Copyright (c) Charles Karney (2008-2022) <karney@alum.mit.edu> and licensed
* under the MIT/X11 License. For more information, see
* https://geographiclib.sourceforge.io/
**********************************************************************/
#if !defined(GEOGRAPHICLIB_POLARSTEREOGRAPHIC_HPP)
#define GEOGRAPHICLIB_POLARSTEREOGRAPHIC_HPP 1
#include <GeographicLib/Constants.hpp>
namespace GeographicLib {
/**
* \brief Polar stereographic projection
*
* Implementation taken from the report,
* - J. P. Snyder,
* <a href="https://pubs.usgs.gov/publication/pp1395"> Map Projections: A
* Working Manual</a>, USGS Professional Paper 1395 (1987),
* pp. 160--163.
*
* This is a straightforward implementation of the equations in Snyder except
* that Newton's method is used to invert the projection.
*
* This class also returns the meridian convergence \e gamma and scale \e k.
* The meridian convergence is the bearing of grid north (the \e y axis)
* measured clockwise from true north.
*
* Example of use:
* \include example-PolarStereographic.cpp
**********************************************************************/
class GEOGRAPHICLIB_EXPORT PolarStereographic {
private:
typedef Math::real real;
real _a, _f, _e2, _es, _e2m, _c;
real _k0;
public:
/**
* Constructor for an ellipsoid with
*
* @param[in] a equatorial radius (meters).
* @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere.
* Negative \e f gives a prolate ellipsoid.
* @param[in] k0 central scale factor.
* @exception GeographicErr if \e a, (1 &minus; \e f) \e a, or \e k0 is
* not positive.
**********************************************************************/
PolarStereographic(real a, real f, real k0);
/**
* Set the scale for the projection.
*
* @param[in] lat (degrees) assuming \e northp = true.
* @param[in] k scale at latitude \e lat (default 1).
* @exception GeographicErr \e k is not positive.
* @exception GeographicErr if \e lat is not in (&minus;90&deg;,
* 90&deg;].
**********************************************************************/
void SetScale(real lat, real k = real(1));
/**
* Forward projection, from geographic to polar stereographic.
*
* @param[in] northp the pole which is the center of projection (true means
* north, false means south).
* @param[in] lat latitude of point (degrees).
* @param[in] lon longitude of point (degrees).
* @param[out] x easting of point (meters).
* @param[out] y northing of point (meters).
* @param[out] gamma meridian convergence at point (degrees).
* @param[out] k scale of projection at point.
*
* No false easting or northing is added. \e lat should be in the range
* (&minus;90&deg;, 90&deg;] for \e northp = true and in the range
* [&minus;90&deg;, 90&deg;) for \e northp = false.
**********************************************************************/
void Forward(bool northp, real lat, real lon,
real& x, real& y, real& gamma, real& k) const;
/**
* Reverse projection, from polar stereographic to geographic.
*
* @param[in] northp the pole which is the center of projection (true means
* north, false means south).
* @param[in] x easting of point (meters).
* @param[in] y northing of point (meters).
* @param[out] lat latitude of point (degrees).
* @param[out] lon longitude of point (degrees).
* @param[out] gamma meridian convergence at point (degrees).
* @param[out] k scale of projection at point.
*
* No false easting or northing is added. The value of \e lon returned is
* in the range [&minus;180&deg;, 180&deg;].
**********************************************************************/
void Reverse(bool northp, real x, real y,
real& lat, real& lon, real& gamma, real& k) const;
/**
* PolarStereographic::Forward without returning the convergence and scale.
**********************************************************************/
void Forward(bool northp, real lat, real lon,
real& x, real& y) const {
real gamma, k;
Forward(northp, lat, lon, x, y, gamma, k);
}
/**
* PolarStereographic::Reverse without returning the convergence and scale.
**********************************************************************/
void Reverse(bool northp, real x, real y,
real& lat, real& lon) const {
real gamma, k;
Reverse(northp, x, y, lat, lon, gamma, k);
}
/** \name Inspector functions
**********************************************************************/
///@{
/**
* @return \e a the equatorial radius of the ellipsoid (meters). This is
* the value used in the constructor.
**********************************************************************/
Math::real EquatorialRadius() const { return _a; }
/**
* @return \e f the flattening of the ellipsoid. This is the value used in
* the constructor.
**********************************************************************/
Math::real Flattening() const { return _f; }
/**
* The central scale for the projection. This is the value of \e k0 used
* in the constructor and is the scale at the pole unless overridden by
* PolarStereographic::SetScale.
**********************************************************************/
Math::real CentralScale() const { return _k0; }
///@}
/**
* A global instantiation of PolarStereographic with the WGS84 ellipsoid
* and the UPS scale factor. However, unlike UPS, no false easting or
* northing is added.
**********************************************************************/
static const PolarStereographic& UPS();
};
} // namespace GeographicLib
#endif // GEOGRAPHICLIB_POLARSTEREOGRAPHIC_HPP
Constants.hpp
Header for GeographicLib::Constants class.
GEOGRAPHICLIB_EXPORT
#define GEOGRAPHICLIB_EXPORT
Definition Constants.hpp:67
real
GeographicLib::Math::real real
Definition GeodSolve.cpp:28
GeographicLib::Math::real
double real
Definition Math.hpp:115
GeographicLib::PolarStereographic
Polar stereographic projection.
Definition PolarStereographic.hpp:36
GeographicLib::PolarStereographic::EquatorialRadius
Math::real EquatorialRadius() const
Definition PolarStereographic.hpp:128
GeographicLib::PolarStereographic::CentralScale
Math::real CentralScale() const
Definition PolarStereographic.hpp:141
GeographicLib::PolarStereographic::Forward
void Forward(bool northp, real lat, real lon, real &x, real &y) const
Definition PolarStereographic.hpp:106
GeographicLib::PolarStereographic::Flattening
Math::real Flattening() const
Definition PolarStereographic.hpp:134
GeographicLib::PolarStereographic::Reverse
void Reverse(bool northp, real x, real y, real &lat, real &lon) const
Definition PolarStereographic.hpp:115
GeographicLib
Namespace for GeographicLib.
Definition Accumulator.cpp:12