236 lines
8.4 KiB
C++
236 lines
8.4 KiB
C++
// Boost.Geometry - gis-projections (based on PROJ4)
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// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
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// This file was modified by Oracle on 2017, 2018, 2019.
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// Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
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// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
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// Use, modification and distribution is subject to the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// This file is converted from PROJ4, http://trac.osgeo.org/proj
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// PROJ4 is originally written by Gerald Evenden (then of the USGS)
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// PROJ4 is maintained by Frank Warmerdam
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// PROJ4 is converted to Boost.Geometry by Barend Gehrels
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// Last updated version of proj: 5.0.0
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// Original copyright notice:
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// Permission is hereby granted, free of charge, to any person obtaining a
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// copy of this software and associated documentation files (the "Software"),
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// to deal in the Software without restriction, including without limitation
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// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// and/or sell copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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// DEALINGS IN THE SOFTWARE.
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#ifndef BOOST_GEOMETRY_PROJECTIONS_CEA_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_CEA_HPP
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#include <boost/geometry/srs/projections/impl/base_static.hpp>
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#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/pj_auth.hpp>
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#include <boost/geometry/srs/projections/impl/pj_param.hpp>
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#include <boost/geometry/srs/projections/impl/pj_qsfn.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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#include <boost/geometry/util/math.hpp>
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namespace boost { namespace geometry
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{
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namespace projections
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace cea
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{
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static const double epsilon = 1e-10;
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template <typename T>
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struct par_cea
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{
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T qp;
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detail::apa<T> apa;
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};
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template <typename T, typename Parameters>
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struct base_cea_ellipsoid
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{
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par_cea<T> m_proj_parm;
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// FORWARD(e_forward) spheroid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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xy_x = par.k0 * lp_lon;
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xy_y = .5 * pj_qsfn(sin(lp_lat), par.e, par.one_es) / par.k0;
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}
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// INVERSE(e_inverse) spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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lp_lat = pj_authlat(asin( 2. * xy_y * par.k0 / this->m_proj_parm.qp), this->m_proj_parm.apa);
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lp_lon = xy_x / par.k0;
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}
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static inline std::string get_name()
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{
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return "cea_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_cea_spheroid
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{
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par_cea<T> m_proj_parm;
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// FORWARD(s_forward) spheroid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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xy_x = par.k0 * lp_lon;
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xy_y = sin(lp_lat) / par.k0;
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}
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// INVERSE(s_inverse) spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& par, T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T half_pi = detail::half_pi<T>();
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T t;
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if ((t = fabs(xy_y *= par.k0)) - epsilon <= 1.) {
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if (t >= 1.)
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lp_lat = xy_y < 0. ? -half_pi : half_pi;
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else
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lp_lat = asin(xy_y);
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lp_lon = xy_x / par.k0;
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} else
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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static inline std::string get_name()
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{
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return "cea_spheroid";
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}
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};
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// Equal Area Cylindrical
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template <typename Params, typename Parameters, typename T>
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inline void setup_cea(Params const& params, Parameters& par, par_cea<T>& proj_parm)
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{
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T t = 0;
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if (pj_param_r<srs::spar::lat_ts>(params, "lat_ts", srs::dpar::lat_ts, t)) {
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par.k0 = cos(t);
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if (par.k0 < 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_lat_ts_larger_than_90) );
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}
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}
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if (par.es != 0.0) {
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t = sin(t);
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par.k0 /= sqrt(1. - par.es * t * t);
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par.e = sqrt(par.es);
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proj_parm.apa = pj_authset<T>(par.es);
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proj_parm.qp = pj_qsfn(T(1), par.e, par.one_es);
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}
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}
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}} // namespace detail::cea
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#endif // doxygen
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/*!
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\brief Equal Area Cylindrical projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Cylindrical
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- Spheroid
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- Ellipsoid
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\par Projection parameters
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- lat_ts: Latitude of true scale (degrees)
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\par Example
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\image html ex_cea.gif
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*/
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template <typename T, typename Parameters>
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struct cea_ellipsoid : public detail::cea::base_cea_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline cea_ellipsoid(Params const& params, Parameters & par)
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{
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detail::cea::setup_cea(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Equal Area Cylindrical projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Cylindrical
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- Spheroid
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- Ellipsoid
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\par Projection parameters
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- lat_ts: Latitude of true scale (degrees)
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\par Example
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\image html ex_cea.gif
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*/
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template <typename T, typename Parameters>
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struct cea_spheroid : public detail::cea::base_cea_spheroid<T, Parameters>
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{
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template <typename Params>
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inline cea_spheroid(Params const& params, Parameters & par)
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{
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detail::cea::setup_cea(params, par, this->m_proj_parm);
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}
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};
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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// Static projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_cea, cea_spheroid, cea_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(cea_entry, cea_spheroid, cea_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(cea_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(cea, cea_entry);
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}
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} // namespace detail
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#endif // doxygen
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} // namespace projections
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_PROJECTIONS_CEA_HPP
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