projections/proj/putp6.hpp

0001 // Boost.Geometry - gis-projections (based on PROJ4)
0002
0003 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
0004
0005 // This file was modified by Oracle on 2017, 2018, 2019.
0006 // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
0007 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
0008
0009 // Use, modification and distribution is subject to the Boost Software License,
0010 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
0011 // http://www.boost.org/LICENSE_1_0.txt)
0012
0013 // This file is converted from PROJ4, http://trac.osgeo.org/proj
0014 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
0015 // PROJ4 is maintained by Frank Warmerdam
0016 // PROJ4 is converted to Boost.Geometry by Barend Gehrels
0017
0018 // Last updated version of proj: 5.0.0
0019
0020 // Original copyright notice:
0021
0022 // Permission is hereby granted, free of charge, to any person obtaining a
0023 // copy of this software and associated documentation files (the "Software"),
0024 // to deal in the Software without restriction, including without limitation
0025 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
0026 // and/or sell copies of the Software, and to permit persons to whom the
0027 // Software is furnished to do so, subject to the following conditions:
0028
0029 // The above copyright notice and this permission notice shall be included
0030 // in all copies or substantial portions of the Software.
0031
0032 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
0033 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
0034 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
0035 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
0036 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
0037 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
0038 // DEALINGS IN THE SOFTWARE.
0039
0040 #ifndef BOOST_GEOMETRY_PROJECTIONS_PUTP6_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_PUTP6_HPP
0042
0043 #include <boost/geometry/srs/projections/impl/base_static.hpp>
0044 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
0045 #include <boost/geometry/srs/projections/impl/projects.hpp>
0046 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
0047 #include <boost/geometry/srs/projections/impl/aasincos.hpp>
0048
0049 namespace boost { namespace geometry
0050 {
0051
0052 namespace projections
0053 {
0054     #ifndef DOXYGEN_NO_DETAIL
0055     namespace detail { namespace putp6
0056     {
0057
0058             static const double epsilon = 1e-10;
0059             static const int n_iter = 10;
0060             static const double CON_POLE = 1.732050807568877;
0061
0062             template <typename T>
0063             struct par_putp6
0064             {
0065                 T C_x, C_y, A, B, D;
0066             };
0067
0068             template <typename T, typename Parameters>
0069             struct base_putp6_spheroid
0070             {
0071                 par_putp6<T> m_proj_parm;
0072
0073                 // FORWARD(s_forward)  spheroid
0074                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0075                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
0076                 {
0077                     T p, r, V;
0078                     int i;
0079
0080                     p = this->m_proj_parm.B * sin(lp_lat);
0081                     lp_lat *=  1.10265779;
0082                     for (i = n_iter; i ; --i) {
0083                         r = sqrt(1. + lp_lat * lp_lat);
0084                         lp_lat -= V = ( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) - p ) /
0085                             (this->m_proj_parm.A - 2. * r);
0086                         if (fabs(V) < epsilon)
0087                             break;
0088                     }
0089                     if (!i)
0090                         lp_lat = p < 0. ? -CON_POLE : CON_POLE;
0091                     xy_x = this->m_proj_parm.C_x * lp_lon * (this->m_proj_parm.D - sqrt(1. + lp_lat * lp_lat));
0092                     xy_y = this->m_proj_parm.C_y * lp_lat;
0093                 }
0094
0095                 // INVERSE(s_inverse)  spheroid
0096                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0097                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0098                 {
0099                     T r;
0100
0101                     lp_lat = xy_y / this->m_proj_parm.C_y;
0102                     r = sqrt(1. + lp_lat * lp_lat);
0103                     lp_lon = xy_x / (this->m_proj_parm.C_x * (this->m_proj_parm.D - r));
0104                     lp_lat = aasin(( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) ) / this->m_proj_parm.B);
0105                 }
0106
0107                 static inline std::string get_name()
0108                 {
0109                     return "putp6_spheroid";
0110                 }
0111
0112             };
0113
0114
0115             // Putnins P6
0116             template <typename Parameters, typename T>
0117             inline void setup_putp6(Parameters& par, par_putp6<T>& proj_parm)
0118             {
0119                 proj_parm.C_x = 1.01346;
0120                 proj_parm.C_y = 0.91910;
0121                 proj_parm.A   = 4.;
0122                 proj_parm.B   = 2.1471437182129378784;
0123                 proj_parm.D   = 2.;
0124
0125                 par.es = 0.;
0126             }
0127
0128             // Putnins P6'
0129             template <typename Parameters, typename T>
0130             inline void setup_putp6p(Parameters& par, par_putp6<T>& proj_parm)
0131             {
0132                 proj_parm.C_x = 0.44329;
0133                 proj_parm.C_y = 0.80404;
0134                 proj_parm.A   = 6.;
0135                 proj_parm.B   = 5.61125;
0136                 proj_parm.D   = 3.;
0137
0138                 par.es = 0.;
0139             }
0140
0141     }} // namespace detail::putp6
0142     #endif // doxygen
0143
0144     /*!
0145         \brief Putnins P6 projection
0146         \ingroup projections
0147         \tparam Geographic latlong point type
0148         \tparam Cartesian xy point type
0149         \tparam Parameters parameter type
0150         \par Projection characteristics
0151          - Pseudocylindrical
0152          - Spheroid
0153         \par Example
0154         \image html ex_putp6.gif
0155     */
0156     template <typename T, typename Parameters>
0157     struct putp6_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
0158     {
0159         template <typename Params>
0160         inline putp6_spheroid(Params const& , Parameters & par)
0161         {
0162             detail::putp6::setup_putp6(par, this->m_proj_parm);
0163         }
0164     };
0165
0166     /*!
0167         \brief Putnins P6' projection
0168         \ingroup projections
0169         \tparam Geographic latlong point type
0170         \tparam Cartesian xy point type
0171         \tparam Parameters parameter type
0172         \par Projection characteristics
0173          - Pseudocylindrical
0174          - Spheroid
0175         \par Example
0176         \image html ex_putp6p.gif
0177     */
0178     template <typename T, typename Parameters>
0179     struct putp6p_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
0180     {
0181         template <typename Params>
0182         inline putp6p_spheroid(Params const& , Parameters & par)
0183         {
0184             detail::putp6::setup_putp6p(par, this->m_proj_parm);
0185         }
0186     };
0187
0188     #ifndef DOXYGEN_NO_DETAIL
0189     namespace detail
0190     {
0191
0192         // Static projection
0193         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6, putp6_spheroid)
0194         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6p, putp6p_spheroid)
0195
0196         // Factory entry(s)
0197         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6_entry, putp6_spheroid)
0198         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6p_entry, putp6p_spheroid)
0199
0200         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(putp6_init)
0201         {
0202             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6, putp6_entry)
0203             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6p, putp6p_entry)
0204         }
0205
0206     } // namespace detail
0207     #endif // doxygen
0208
0209 } // namespace projections
0210
0211 }} // namespace boost::geometry
0212
0213 #endif // BOOST_GEOMETRY_PROJECTIONS_PUTP6_HPP
0214