add GeographicLib
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329
external/include/GeographicLib/Constants.hpp
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329
external/include/GeographicLib/Constants.hpp
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/**
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* \file Constants.hpp
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* \brief Header for GeographicLib::Constants class
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*
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* Copyright (c) Charles Karney (2008-2020) <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_CONSTANTS_HPP)
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#define GEOGRAPHICLIB_CONSTANTS_HPP 1
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#include <GeographicLib/Config.h>
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/**
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* @relates GeographicLib::Constants
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* Pack the version components into a single integer. Users should not rely on
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* this particular packing of the components of the version number; see the
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* documentation for GEOGRAPHICLIB_VERSION, below.
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**********************************************************************/
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#define GEOGRAPHICLIB_VERSION_NUM(a,b,c) ((((a) * 10000 + (b)) * 100) + (c))
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/**
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* @relates GeographicLib::Constants
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* The version of GeographicLib as a single integer, packed as MMmmmmpp where
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* MM is the major version, mmmm is the minor version, and pp is the patch
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* level. Users should not rely on this particular packing of the components
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* of the version number. Instead they should use a test such as \code
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#if GEOGRAPHICLIB_VERSION >= GEOGRAPHICLIB_VERSION_NUM(1,37,0)
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...
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#endif
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* \endcode
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**********************************************************************/
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#define GEOGRAPHICLIB_VERSION \
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GEOGRAPHICLIB_VERSION_NUM(GEOGRAPHICLIB_VERSION_MAJOR, \
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GEOGRAPHICLIB_VERSION_MINOR, \
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GEOGRAPHICLIB_VERSION_PATCH)
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// For reference, here is a table of Visual Studio and _MSC_VER
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// correspondences:
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//
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// _MSC_VER Visual Studio
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// 1100 vc5
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// 1200 vc6
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// 1300 vc7
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// 1310 vc7.1 (2003)
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// 1400 vc8 (2005)
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// 1500 vc9 (2008)
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// 1600 vc10 (2010)
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// 1700 vc11 (2012)
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// 1800 vc12 (2013)
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// 1900 vc14 (2015) First version of VS to include enough C++11 support
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// 191[0-9] vc15 (2017)
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// 192[0-9] vc16 (2019)
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#if defined(_MSC_VER) && defined(GEOGRAPHICLIB_SHARED_LIB) && \
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GEOGRAPHICLIB_SHARED_LIB
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# if GEOGRAPHICLIB_SHARED_LIB > 1
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# error GEOGRAPHICLIB_SHARED_LIB must be 0 or 1
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# elif defined(GeographicLib_SHARED_EXPORTS)
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# define GEOGRAPHICLIB_EXPORT __declspec(dllexport)
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# else
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# define GEOGRAPHICLIB_EXPORT __declspec(dllimport)
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# endif
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#else
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# define GEOGRAPHICLIB_EXPORT
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#endif
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// Use GEOGRAPHICLIB_DEPRECATED to mark functions, types or variables as
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// deprecated. Code inspired by Apache Subversion's svn_types.h file (via
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// MPFR).
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#if defined(__GNUC__)
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# if __GNUC__ > 4
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# define GEOGRAPHICLIB_DEPRECATED(msg) __attribute__((deprecated(msg)))
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# else
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# define GEOGRAPHICLIB_DEPRECATED(msg) __attribute__((deprecated))
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# endif
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#elif defined(_MSC_VER) && _MSC_VER >= 1300
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# define GEOGRAPHICLIB_DEPRECATED(msg) __declspec(deprecated(msg))
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#else
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# define GEOGRAPHICLIB_DEPRECATED(msg)
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#endif
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#include <stdexcept>
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#include <string>
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#include <GeographicLib/Math.hpp>
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/**
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* \brief Namespace for %GeographicLib
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*
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* All of %GeographicLib is defined within the GeographicLib namespace. In
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* addition all the header files are included via %GeographicLib/Class.hpp.
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* This minimizes the likelihood of conflicts with other packages.
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**********************************************************************/
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namespace GeographicLib {
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/**
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* \brief %Constants needed by %GeographicLib
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*
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* Define constants specifying the WGS84 ellipsoid, the UTM and UPS
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* projections, and various unit conversions.
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*
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* Example of use:
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* \include example-Constants.cpp
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**********************************************************************/
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class GEOGRAPHICLIB_EXPORT Constants {
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private:
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typedef Math::real real;
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Constants(); // Disable constructor
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public:
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/**
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* A synonym for Math::degree<real>().
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**********************************************************************/
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static Math::real degree() { return Math::degree(); }
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/**
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* @return the number of radians in an arcminute.
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**********************************************************************/
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static Math::real arcminute()
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{ return Math::degree() / 60; }
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/**
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* @return the number of radians in an arcsecond.
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**********************************************************************/
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static Math::real arcsecond()
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{ return Math::degree() / 3600; }
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/** \name Ellipsoid parameters
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**********************************************************************/
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///@{
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/**
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* @tparam T the type of the returned value.
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* @return the equatorial radius of WGS84 ellipsoid (6378137 m).
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**********************************************************************/
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template<typename T = real> static T WGS84_a()
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{ return 6378137 * meter<T>(); }
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/**
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* @tparam T the type of the returned value.
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* @return the flattening of WGS84 ellipsoid (1/298.257223563).
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**********************************************************************/
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template<typename T = real> static T WGS84_f() {
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// Evaluating this as 1000000000 / T(298257223563LL) reduces the
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// round-off error by about 10%. However, expressing the flattening as
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// 1/298.257223563 is well ingrained.
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return 1 / ( T(298257223563LL) / 1000000000 );
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}
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/**
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* @tparam T the type of the returned value.
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* @return the gravitational constant of the WGS84 ellipsoid, \e GM, in
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* m<sup>3</sup> s<sup>−2</sup>.
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**********************************************************************/
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template<typename T = real> static T WGS84_GM()
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{ return T(3986004) * 100000000 + 41800000; }
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/**
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* @tparam T the type of the returned value.
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* @return the angular velocity of the WGS84 ellipsoid, ω, in rad
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* s<sup>−1</sup>.
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**********************************************************************/
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template<typename T = real> static T WGS84_omega()
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{ return 7292115 / (T(1000000) * 100000); }
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/**
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* @tparam T the type of the returned value.
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* @return the equatorial radius of GRS80 ellipsoid, \e a, in m.
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**********************************************************************/
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template<typename T = real> static T GRS80_a()
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{ return 6378137 * meter<T>(); }
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/**
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* @tparam T the type of the returned value.
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* @return the gravitational constant of the GRS80 ellipsoid, \e GM, in
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* m<sup>3</sup> s<sup>−2</sup>.
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**********************************************************************/
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template<typename T = real> static T GRS80_GM()
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{ return T(3986005) * 100000000; }
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/**
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* @tparam T the type of the returned value.
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* @return the angular velocity of the GRS80 ellipsoid, ω, in rad
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* s<sup>−1</sup>.
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*
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* This is about 2 π 366.25 / (365.25 × 24 × 3600) rad
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* s<sup>−1</sup>. 365.25 is the number of days in a Julian year and
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* 365.35/366.25 converts from solar days to sidereal days. Using the
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* number of days in a Gregorian year (365.2425) results in a worse
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* approximation (because the Gregorian year includes the precession of the
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* earth's axis).
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**********************************************************************/
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template<typename T = real> static T GRS80_omega()
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{ return 7292115 / (T(1000000) * 100000); }
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/**
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* @tparam T the type of the returned value.
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* @return the dynamical form factor of the GRS80 ellipsoid,
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* <i>J</i><sub>2</sub>.
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**********************************************************************/
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template<typename T = real> static T GRS80_J2()
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{ return T(108263) / 100000000; }
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/**
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* @tparam T the type of the returned value.
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* @return the central scale factor for UTM (0.9996).
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**********************************************************************/
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template<typename T = real> static T UTM_k0()
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{return T(9996) / 10000; }
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/**
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* @tparam T the type of the returned value.
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* @return the central scale factor for UPS (0.994).
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**********************************************************************/
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template<typename T = real> static T UPS_k0()
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{ return T(994) / 1000; }
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///@}
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/** \name SI units
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**********************************************************************/
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///@{
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/**
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* @tparam T the type of the returned value.
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* @return the number of meters in a meter.
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*
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* This is unity, but this lets the internal system of units be changed if
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* necessary.
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**********************************************************************/
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template<typename T = real> static T meter() { return T(1); }
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/**
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* @return the number of meters in a kilometer.
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**********************************************************************/
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static Math::real kilometer()
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{ return 1000 * meter<real>(); }
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/**
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* @return the number of meters in a nautical mile (approximately 1 arc
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* minute)
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**********************************************************************/
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static Math::real nauticalmile()
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{ return 1852 * meter<real>(); }
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/**
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* @tparam T the type of the returned value.
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* @return the number of square meters in a square meter.
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*
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* This is unity, but this lets the internal system of units be changed if
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* necessary.
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**********************************************************************/
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template<typename T = real> static T square_meter()
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{ return meter<T>() * meter<T>(); }
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/**
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* @return the number of square meters in a hectare.
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**********************************************************************/
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static Math::real hectare()
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{ return 10000 * square_meter<real>(); }
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/**
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* @return the number of square meters in a square kilometer.
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**********************************************************************/
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static Math::real square_kilometer()
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{ return kilometer() * kilometer(); }
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/**
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* @return the number of square meters in a square nautical mile.
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**********************************************************************/
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static Math::real square_nauticalmile()
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{ return nauticalmile() * nauticalmile(); }
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///@}
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/** \name Anachronistic British units
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**********************************************************************/
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///@{
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/**
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* @return the number of meters in an international foot.
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**********************************************************************/
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static Math::real foot()
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{ return real(254 * 12) / 10000 * meter<real>(); }
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/**
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* @return the number of meters in a yard.
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**********************************************************************/
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static Math::real yard() { return 3 * foot(); }
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/**
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* @return the number of meters in a fathom.
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**********************************************************************/
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static Math::real fathom() { return 2 * yard(); }
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/**
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* @return the number of meters in a chain.
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**********************************************************************/
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static Math::real chain() { return 22 * yard(); }
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/**
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* @return the number of meters in a furlong.
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**********************************************************************/
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static Math::real furlong() { return 10 * chain(); }
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/**
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* @return the number of meters in a statute mile.
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**********************************************************************/
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static Math::real mile() { return 8 * furlong(); }
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/**
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* @return the number of square meters in an acre.
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**********************************************************************/
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static Math::real acre() { return chain() * furlong(); }
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/**
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* @return the number of square meters in a square statute mile.
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**********************************************************************/
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static Math::real square_mile() { return mile() * mile(); }
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///@}
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/** \name Anachronistic US units
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**********************************************************************/
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///@{
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/**
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* @return the number of meters in a US survey foot.
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**********************************************************************/
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static Math::real surveyfoot()
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{ return real(1200) / 3937 * meter<real>(); }
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///@}
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};
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/**
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* \brief Exception handling for %GeographicLib
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*
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* A class to handle exceptions. It's derived from std::runtime_error so it
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* can be caught by the usual catch clauses.
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*
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* Example of use:
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* \include example-GeographicErr.cpp
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**********************************************************************/
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class GeographicErr : public std::runtime_error {
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public:
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/**
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* Constructor
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*
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* @param[in] msg a string message, which is accessible in the catch
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* clause via what().
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**********************************************************************/
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GeographicErr(const std::string& msg) : std::runtime_error(msg) {}
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};
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} // namespace GeographicLib
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#endif // GEOGRAPHICLIB_CONSTANTS_HPP
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