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- // Boost.Geometry - gis-projections (based on PROJ4)
- // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
- // This file was modified by Oracle on 2017, 2018, 2019.
- // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
- // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
- // Use, modification and distribution is subject to the Boost Software License,
- // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
- // http://www.boost.org/LICENSE_1_0.txt)
- // This file is converted from PROJ4, http://trac.osgeo.org/proj
- // PROJ4 is originally written by Gerald Evenden (then of the USGS)
- // PROJ4 is maintained by Frank Warmerdam
- // PROJ4 is converted to Boost.Geometry by Barend Gehrels
- // Last updated version of proj: 5.0.0
- // Original copyright notice:
- // Permission is hereby granted, free of charge, to any person obtaining a
- // copy of this software and associated documentation files (the "Software"),
- // to deal in the Software without restriction, including without limitation
- // the rights to use, copy, modify, merge, publish, distribute, sublicense,
- // and/or sell copies of the Software, and to permit persons to whom the
- // Software is furnished to do so, subject to the following conditions:
- // The above copyright notice and this permission notice shall be included
- // in all copies or substantial portions of the Software.
- // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
- // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
- // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
- // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
- // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
- // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
- // DEALINGS IN THE SOFTWARE.
- #ifndef BOOST_GEOMETRY_PROJECTIONS_ECK3_HPP
- #define BOOST_GEOMETRY_PROJECTIONS_ECK3_HPP
- #include <boost/core/ignore_unused.hpp>
- #include <boost/geometry/srs/projections/impl/base_static.hpp>
- #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
- #include <boost/geometry/srs/projections/impl/projects.hpp>
- #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
- #include <boost/geometry/srs/projections/impl/aasincos.hpp>
- namespace boost { namespace geometry
- {
- namespace projections
- {
- #ifndef DOXYGEN_NO_DETAIL
- namespace detail { namespace eck3
- {
- template <typename T>
- struct par_eck3
- {
- T C_x, C_y, A, B;
- };
- template <typename T, typename Parameters>
- struct base_eck3_spheroid
- {
- par_eck3<T> m_proj_parm;
- // FORWARD(s_forward) spheroid
- // Project coordinates from geographic (lon, lat) to cartesian (x, y)
- inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
- {
- xy_y = this->m_proj_parm.C_y * lp_lat;
- xy_x = this->m_proj_parm.C_x * lp_lon * (this->m_proj_parm.A + asqrt(1. - this->m_proj_parm.B * lp_lat * lp_lat));
- }
- // INVERSE(s_inverse) spheroid
- // Project coordinates from cartesian (x, y) to geographic (lon, lat)
- inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
- {
- T denominator;
- lp_lat = xy_y / this->m_proj_parm.C_y;
- denominator = (this->m_proj_parm.C_x * (this->m_proj_parm.A + asqrt(1. - this->m_proj_parm.B * lp_lat * lp_lat)));
- if ( denominator == 0.0) {
- lp_lon = HUGE_VAL;
- lp_lat = HUGE_VAL;
- } else
- lp_lon = xy_x / denominator;
- }
- static inline std::string get_name()
- {
- return "eck3_spheroid";
- }
- };
- template <typename Parameters>
- inline void setup(Parameters& par)
- {
- par.es = 0.;
- }
- // Eckert III
- template <typename Parameters, typename T>
- inline void setup_eck3(Parameters& par, par_eck3<T>& proj_parm)
- {
- proj_parm.C_x = 0.42223820031577120149;
- proj_parm.C_y = 0.84447640063154240298;
- proj_parm.A = 1.0;
- proj_parm.B = 0.4052847345693510857755;
- setup(par);
- }
- // Putnins P1
- template <typename Parameters, typename T>
- inline void setup_putp1(Parameters& par, par_eck3<T>& proj_parm)
- {
- proj_parm.C_x = 1.89490;
- proj_parm.C_y = 0.94745;
- proj_parm.A = -0.5;
- proj_parm.B = 0.30396355092701331433;
- setup(par);
- }
- // Wagner VI
- template <typename Parameters, typename T>
- inline void setup_wag6(Parameters& par, par_eck3<T>& proj_parm)
- {
- proj_parm.C_x = proj_parm.C_y = 0.94745;
- proj_parm.A = 0.0;
- proj_parm.B = 0.30396355092701331433;
- setup(par);
- }
- // Kavraisky VII
- template <typename Parameters, typename T>
- inline void setup_kav7(Parameters& par, par_eck3<T>& proj_parm)
- {
- /* Defined twice in original code - Using 0.866...,
- * but leaving the other one here as a safety measure.
- * proj_parm.C_x = 0.2632401569273184856851; */
- proj_parm.C_x = 0.8660254037844;
- proj_parm.C_y = 1.0;
- proj_parm.A = 0.0;
- proj_parm.B = 0.30396355092701331433;
- setup(par);
- }
- }} // namespace detail::eck3
- #endif // doxygen
- /*!
- \brief Eckert III projection
- \ingroup projections
- \tparam Geographic latlong point type
- \tparam Cartesian xy point type
- \tparam Parameters parameter type
- \par Projection characteristics
- - Pseudocylindrical
- - Spheroid
- \par Example
- \image html ex_eck3.gif
- */
- template <typename T, typename Parameters>
- struct eck3_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
- {
- template <typename Params>
- inline eck3_spheroid(Params const& , Parameters & par)
- {
- detail::eck3::setup_eck3(par, this->m_proj_parm);
- }
- };
- /*!
- \brief Putnins P1 projection
- \ingroup projections
- \tparam Geographic latlong point type
- \tparam Cartesian xy point type
- \tparam Parameters parameter type
- \par Projection characteristics
- - Pseudocylindrical
- - Spheroid
- \par Example
- \image html ex_putp1.gif
- */
- template <typename T, typename Parameters>
- struct putp1_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
- {
- template <typename Params>
- inline putp1_spheroid(Params const& , Parameters & par)
- {
- detail::eck3::setup_putp1(par, this->m_proj_parm);
- }
- };
- /*!
- \brief Wagner VI projection
- \ingroup projections
- \tparam Geographic latlong point type
- \tparam Cartesian xy point type
- \tparam Parameters parameter type
- \par Projection characteristics
- - Pseudocylindrical
- - Spheroid
- \par Example
- \image html ex_wag6.gif
- */
- template <typename T, typename Parameters>
- struct wag6_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
- {
- template <typename Params>
- inline wag6_spheroid(Params const& , Parameters & par)
- {
- detail::eck3::setup_wag6(par, this->m_proj_parm);
- }
- };
- /*!
- \brief Kavraisky VII projection
- \ingroup projections
- \tparam Geographic latlong point type
- \tparam Cartesian xy point type
- \tparam Parameters parameter type
- \par Projection characteristics
- - Pseudocylindrical
- - Spheroid
- \par Example
- \image html ex_kav7.gif
- */
- template <typename T, typename Parameters>
- struct kav7_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
- {
- template <typename Params>
- inline kav7_spheroid(Params const& , Parameters & par)
- {
- detail::eck3::setup_kav7(par, this->m_proj_parm);
- }
- };
- #ifndef DOXYGEN_NO_DETAIL
- namespace detail
- {
- // Static projection
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_eck3, eck3_spheroid)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp1, putp1_spheroid)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_wag6, wag6_spheroid)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_kav7, kav7_spheroid)
- // Factory entry(s)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(eck3_entry, eck3_spheroid)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp1_entry, putp1_spheroid)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(wag6_entry, wag6_spheroid)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(kav7_entry, kav7_spheroid)
-
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(eck3_init)
- {
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(eck3, eck3_entry);
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp1, putp1_entry);
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wag6, wag6_entry);
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(kav7, kav7_entry);
- }
- } // namespace detail
- #endif // doxygen
- } // namespace projections
- }} // namespace boost::geometry
- #endif // BOOST_GEOMETRY_PROJECTIONS_ECK3_HPP
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