123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215 |
- // 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_OCEA_HPP
- #define BOOST_GEOMETRY_PROJECTIONS_OCEA_HPP
- #include <boost/geometry/util/math.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/factory_entry.hpp>
- #include <boost/geometry/srs/projections/impl/pj_param.hpp>
- #include <boost/geometry/srs/projections/impl/projects.hpp>
- namespace boost { namespace geometry
- {
- namespace projections
- {
- #ifndef DOXYGEN_NO_DETAIL
- namespace detail { namespace ocea
- {
- template <typename T>
- struct par_ocea
- {
- T rok;
- T rtk;
- T sinphi;
- T cosphi;
- T singam;
- T cosgam;
- };
- template <typename T, typename Parameters>
- struct base_ocea_spheroid
- {
- par_ocea<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
- {
- static const T pi = detail::pi<T>();
- T t;
- xy_y = sin(lp_lon);
- t = cos(lp_lon);
- xy_x = atan((tan(lp_lat) * this->m_proj_parm.cosphi + this->m_proj_parm.sinphi * xy_y) / t);
- if (t < 0.)
- xy_x += pi;
- xy_x *= this->m_proj_parm.rtk;
- xy_y = this->m_proj_parm.rok * (this->m_proj_parm.sinphi * sin(lp_lat) - this->m_proj_parm.cosphi * cos(lp_lat) * xy_y);
- }
- // INVERSE(s_inverse) spheroid
- // Project coordinates from cartesian (x, y) to geographic (lon, lat)
- inline void inv(Parameters const& , T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
- {
- T t, s;
- xy_y /= this->m_proj_parm.rok;
- xy_x /= this->m_proj_parm.rtk;
- t = sqrt(1. - xy_y * xy_y);
- lp_lat = asin(xy_y * this->m_proj_parm.sinphi + t * this->m_proj_parm.cosphi * (s = sin(xy_x)));
- lp_lon = atan2(t * this->m_proj_parm.sinphi * s - xy_y * this->m_proj_parm.cosphi,
- t * cos(xy_x));
- }
- static inline std::string get_name()
- {
- return "ocea_spheroid";
- }
- };
- // Oblique Cylindrical Equal Area
- template <typename Params, typename Parameters, typename T>
- inline void setup_ocea(Params const& params, Parameters& par, par_ocea<T>& proj_parm)
- {
- static const T half_pi = detail::half_pi<T>();
- T phi_0=0.0, phi_1, phi_2, lam_1, lam_2, lonz, alpha;
- proj_parm.rok = 1. / par.k0;
- proj_parm.rtk = par.k0;
- /*If the keyword "alpha" is found in the sentence then use 1point+1azimuth*/
- if ( pj_param_r<srs::spar::alpha>(params, "alpha", srs::dpar::alpha, alpha)) {
- /*Define Pole of oblique transformation from 1 point & 1 azimuth*/
- //alpha = pj_get_param_r(par.params, "alpha"); // set above
- lonz = pj_get_param_r<T, srs::spar::lonc>(params, "lonc", srs::dpar::lonc);
- /*Equation 9-8 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
- proj_parm.singam = atan(-cos(alpha)/(-sin(phi_0) * sin(alpha))) + lonz;
- /*Equation 9-7 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
- proj_parm.sinphi = asin(cos(phi_0) * sin(alpha));
- /*If the keyword "alpha" is NOT found in the sentence then use 2points*/
- } else {
- /*Define Pole of oblique transformation from 2 points*/
- phi_1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
- phi_2 = pj_get_param_r<T, srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2);
- lam_1 = pj_get_param_r<T, srs::spar::lon_1>(params, "lon_1", srs::dpar::lon_1);
- lam_2 = pj_get_param_r<T, srs::spar::lon_2>(params, "lon_2", srs::dpar::lon_2);
- /*Equation 9-1 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
- proj_parm.singam = atan2(cos(phi_1) * sin(phi_2) * cos(lam_1) -
- sin(phi_1) * cos(phi_2) * cos(lam_2),
- sin(phi_1) * cos(phi_2) * sin(lam_2) -
- cos(phi_1) * sin(phi_2) * sin(lam_1) );
- /* take care of P->lam0 wrap-around when +lam_1=-90*/
- if (lam_1 == -half_pi)
- proj_parm.singam = -proj_parm.singam;
- /*Equation 9-2 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
- proj_parm.sinphi = atan(-cos(proj_parm.singam - lam_1) / tan(phi_1));
- }
- par.lam0 = proj_parm.singam + half_pi;
- proj_parm.cosphi = cos(proj_parm.sinphi);
- proj_parm.sinphi = sin(proj_parm.sinphi);
- proj_parm.cosgam = cos(proj_parm.singam);
- proj_parm.singam = sin(proj_parm.singam);
- par.es = 0.;
- }
- }} // namespace detail::ocea
- #endif // doxygen
- /*!
- \brief Oblique Cylindrical Equal Area projection
- \ingroup projections
- \tparam Geographic latlong point type
- \tparam Cartesian xy point type
- \tparam Parameters parameter type
- \par Projection characteristics
- - Cylindrical
- - Spheroid
- \par Projection parameters
- - lonc: Longitude (only used if alpha (or gamma) is specified) (degrees)
- - alpha: Alpha (degrees)
- - lat_1: Latitude of first standard parallel (degrees)
- - lat_2: Latitude of second standard parallel (degrees)
- - lon_1 (degrees)
- - lon_2 (degrees)
- \par Example
- \image html ex_ocea.gif
- */
- template <typename T, typename Parameters>
- struct ocea_spheroid : public detail::ocea::base_ocea_spheroid<T, Parameters>
- {
- template <typename Params>
- inline ocea_spheroid(Params const& params, Parameters & par)
- {
- detail::ocea::setup_ocea(params, par, this->m_proj_parm);
- }
- };
- #ifndef DOXYGEN_NO_DETAIL
- namespace detail
- {
- // Static projection
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_ocea, ocea_spheroid)
- // Factory entry(s)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(ocea_entry, ocea_spheroid)
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(ocea_init)
- {
- BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(ocea, ocea_entry)
- }
- } // namespace detail
- #endif // doxygen
- } // namespace projections
- }} // namespace boost::geometry
- #endif // BOOST_GEOMETRY_PROJECTIONS_OCEA_HPP
|