256 lines
9.7 KiB
C++
256 lines
9.7 KiB
C++
/**
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* \file OSGB.hpp
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* \brief Header for GeographicLib::OSGB class
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*
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* Copyright (c) Charles Karney (2010-2020) <charles@karney.com> and licensed
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* under the MIT/X11 License. For more information, see
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* https://geographiclib.sourceforge.io/
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**********************************************************************/
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#if !defined(GEOGRAPHICLIB_OSGB_HPP)
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#define GEOGRAPHICLIB_OSGB_HPP 1
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#include <GeographicLib/Constants.hpp>
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#include <GeographicLib/TransverseMercator.hpp>
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#if defined(_MSC_VER)
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// Squelch warnings about dll vs string
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# pragma warning (push)
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# pragma warning (disable: 4251)
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#endif
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namespace GeographicLib {
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/**
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* \brief Ordnance Survey grid system for Great Britain
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*
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* The class implements the coordinate system used by the Ordnance Survey for
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* maps of Great Britain and conversions to the grid reference system.
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*
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* See
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* - <a href="http://www.ordnancesurvey.co.uk/docs/support/guide-coordinate-systems-great-britain.pdf">
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* A guide to coordinate systems in Great Britain</a>
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* - <a href="http://www.ordnancesurvey.co.uk/docs/support/national-grid.pdf">
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* Guide to the National Grid</a>
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*
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* \warning the latitudes and longitudes for the Ordnance Survey grid
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* system do not use the WGS84 datum. Do not use the values returned by this
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* class in the UTMUPS, MGRS, or Geoid classes without first converting the
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* datum (and vice versa).
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*
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* Example of use:
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* \include example-OSGB.cpp
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**********************************************************************/
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class GEOGRAPHICLIB_EXPORT OSGB {
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private:
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typedef Math::real real;
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static const char* const letters_;
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static const char* const digits_;
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static const TransverseMercator& OSGBTM();
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enum {
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base_ = 10,
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tile_ = 100000,
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tilelevel_ = 5,
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tilegrid_ = 5,
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tileoffx_ = 2 * tilegrid_,
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tileoffy_ = 1 * tilegrid_,
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minx_ = - tileoffx_ * tile_,
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miny_ = - tileoffy_ * tile_,
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maxx_ = (tilegrid_*tilegrid_ - tileoffx_) * tile_,
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maxy_ = (tilegrid_*tilegrid_ - tileoffy_) * tile_,
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// Maximum precision is um
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maxprec_ = 5 + 6,
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};
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static real computenorthoffset();
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static void CheckCoords(real x, real y);
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OSGB(); // Disable constructor
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public:
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/**
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* Forward projection, from geographic to OSGB coordinates.
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*
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* @param[in] lat latitude of point (degrees).
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* @param[in] lon longitude of point (degrees).
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* @param[out] x easting of point (meters).
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* @param[out] y northing of point (meters).
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* @param[out] gamma meridian convergence at point (degrees).
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* @param[out] k scale of projection at point.
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*
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* \e lat should be in the range [−90°, 90°].
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**********************************************************************/
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static void Forward(real lat, real lon,
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real& x, real& y, real& gamma, real& k) {
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OSGBTM().Forward(OriginLongitude(), lat, lon, x, y, gamma, k);
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x += FalseEasting();
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y += computenorthoffset();
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}
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/**
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* Reverse projection, from OSGB coordinates to geographic.
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*
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* @param[in] x easting of point (meters).
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* @param[in] y northing of point (meters).
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* @param[out] lat latitude of point (degrees).
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* @param[out] lon longitude of point (degrees).
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* @param[out] gamma meridian convergence at point (degrees).
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* @param[out] k scale of projection at point.
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*
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* The value of \e lon returned is in the range [−180°,
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* 180°].
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**********************************************************************/
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static void Reverse(real x, real y,
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real& lat, real& lon, real& gamma, real& k) {
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x -= FalseEasting();
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y -= computenorthoffset();
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OSGBTM().Reverse(OriginLongitude(), x, y, lat, lon, gamma, k);
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}
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/**
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* OSGB::Forward without returning the convergence and scale.
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**********************************************************************/
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static void Forward(real lat, real lon, real& x, real& y) {
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real gamma, k;
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Forward(lat, lon, x, y, gamma, k);
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}
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/**
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* OSGB::Reverse without returning the convergence and scale.
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**********************************************************************/
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static void Reverse(real x, real y, real& lat, real& lon) {
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real gamma, k;
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Reverse(x, y, lat, lon, gamma, k);
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}
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/**
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* Convert OSGB coordinates to a grid reference.
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*
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* @param[in] x easting of point (meters).
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* @param[in] y northing of point (meters).
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* @param[in] prec precision relative to 100 km.
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* @param[out] gridref National Grid reference.
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* @exception GeographicErr if \e prec, \e x, or \e y is outside its
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* allowed range.
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* @exception std::bad_alloc if the memory for \e gridref can't be
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* allocatied.
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*
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* \e prec specifies the precision of the grid reference string as follows:
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* - prec = 0 (min), 100km
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* - prec = 1, 10km
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* - prec = 2, 1km
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* - prec = 3, 100m
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* - prec = 4, 10m
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* - prec = 5, 1m
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* - prec = 6, 0.1m
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* - prec = 11 (max), 1μm
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*
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* The easting must be in the range [−1000 km, 1500 km) and the
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* northing must be in the range [−500 km, 2000 km). These bounds
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* are consistent with rules for the letter designations for the grid
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* system.
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*
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* If \e x or \e y is NaN, the returned grid reference is "INVALID".
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**********************************************************************/
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static void GridReference(real x, real y, int prec, std::string& gridref);
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/**
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* Convert OSGB coordinates to a grid reference.
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*
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* @param[in] gridref National Grid reference.
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* @param[out] x easting of point (meters).
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* @param[out] y northing of point (meters).
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* @param[out] prec precision relative to 100 km.
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* @param[in] centerp if true (default), return center of the grid square,
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* else return SW (lower left) corner.
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* @exception GeographicErr if \e gridref is illegal.
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*
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* The grid reference must be of the form: two letters (not including I)
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* followed by an even number of digits (up to 22).
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*
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* If the first 2 characters of \e gridref are "IN", then \e x and \e y are
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* set to NaN and \e prec is set to −2.
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**********************************************************************/
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static void GridReference(const std::string& gridref,
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real& x, real& y, int& prec,
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bool centerp = true);
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/** \name Inspector functions
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**********************************************************************/
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///@{
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/**
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* @return \e a the equatorial radius of the Airy 1830 ellipsoid (meters).
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*
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* This is 20923713 ft converted to meters using the rule 1 ft =
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* 10<sup>9.48401603−10</sup> m. The Airy 1830 value is returned
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* because the OSGB projection is based on this ellipsoid. The conversion
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* factor from feet to meters is the one used for the 1936 retriangulation
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* of Britain; see Section A.1 (p. 37) of <i>A guide to coordinate systems
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* in Great Britain</i>, v2.2 (Dec. 2013).
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**********************************************************************/
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static Math::real EquatorialRadius() {
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// result is about 6377563.3960320664406 m
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using std::pow;
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return pow(real(10), real(48401603 - 100000000) / 100000000)
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* real(20923713);
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}
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/**
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* @return \e f the inverse flattening of the Airy 1830 ellipsoid.
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*
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* For the Airy 1830 ellipsoid, \e a = 20923713 ft and \e b = 20853810 ft;
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* thus the flattening = (20923713 − 20853810)/20923713 =
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* 7767/2324857 = 1/299.32496459... (The Airy 1830 value is returned
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* because the OSGB projection is based on this ellipsoid.)
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**********************************************************************/
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static Math::real Flattening()
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{ return real(20923713 - 20853810) / real(20923713); }
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/**
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* @return \e k0 central scale for the OSGB projection (0.9996012717...).
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*
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* C. J. Mugnier, Grids & Datums, PE&RS, Oct. 2003, states that
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* this is defined as 10<sup>9.9998268−10</sup>.
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**********************************************************************/
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static Math::real CentralScale() {
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using std::pow;
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return pow(real(10), real(9998268 - 10000000) / 10000000);
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}
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/**
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* @return latitude of the origin for the OSGB projection (49 degrees).
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**********************************************************************/
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static Math::real OriginLatitude() { return real(49); }
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/**
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* @return longitude of the origin for the OSGB projection (−2
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* degrees).
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**********************************************************************/
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static Math::real OriginLongitude() { return real(-2); }
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/**
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* @return false northing the OSGB projection (−100000 meters).
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**********************************************************************/
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static Math::real FalseNorthing() { return real(-100000); }
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/**
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* @return false easting the OSGB projection (400000 meters).
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**********************************************************************/
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static Math::real FalseEasting() { return real(400000); }
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/**
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* \deprecated An old name for EquatorialRadius().
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**********************************************************************/
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GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()")
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static Math::real MajorRadius() { return EquatorialRadius(); }
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///@}
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};
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} // namespace GeographicLib
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#if defined(_MSC_VER)
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# pragma warning (pop)
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#endif
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#endif // GEOGRAPHICLIB_OSGB_HPP
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