1 // Boost.Geometry - gis-projections (based on PROJ4) 2 3 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands. 4 5 // This file was modified by Oracle on 2017, 2018. 6 // Modifications copyright (c) 2017-2018, Oracle and/or its affiliates. 7 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle. 8 9 // Use, modification and distribution is subject to the Boost Software License, 10 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at 11 // http://www.boost.org/LICENSE_1_0.txt) 12 13 // This file is converted from PROJ4, http://trac.osgeo.org/proj 14 // PROJ4 is originally written by Gerald Evenden (then of the USGS) 15 // PROJ4 is maintained by Frank Warmerdam 16 // PROJ4 is converted to Boost.Geometry by Barend Gehrels 17 18 // Last updated version of proj: 5.0.0 19 20 // Original copyright notice: 21 22 // Permission is hereby granted, free of charge, to any person obtaining a 23 // copy of this software and associated documentation files (the "Software"), 24 // to deal in the Software without restriction, including without limitation 25 // the rights to use, copy, modify, merge, publish, distribute, sublicense, 26 // and/or sell copies of the Software, and to permit persons to whom the 27 // Software is furnished to do so, subject to the following conditions: 28 29 // The above copyright notice and this permission notice shall be included 30 // in all copies or substantial portions of the Software. 31 32 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS 33 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 34 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL 35 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 36 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING 37 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER 38 // DEALINGS IN THE SOFTWARE. 39 40 #ifndef BOOST_GEOMETRY_PROJECTIONS_BACON_HPP 41 #define BOOST_GEOMETRY_PROJECTIONS_BACON_HPP 42 43 #include <boost/geometry/util/math.hpp> 44 45 #include <boost/geometry/srs/projections/impl/base_static.hpp> 46 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp> 47 #include <boost/geometry/srs/projections/impl/projects.hpp> 48 #include <boost/geometry/srs/projections/impl/factory_entry.hpp> 49 50 namespace boost { namespace geometry 51 { 52 53 namespace projections 54 { 55 #ifndef DOXYGEN_NO_DETAIL 56 namespace detail { namespace bacon 57 { 58 59 //static const double half_pi_sqr = 2.46740110027233965467; 60 static const double epsilon = 1e-10; 61 62 struct par_bacon 63 { 64 int bacn; 65 int ortl; 66 }; 67 68 // template class, using CRTP to implement forward/inverse 69 template <typename T, typename Parameters> 70 struct base_bacon_spheroid 71 : public base_t_f<base_bacon_spheroid<T, Parameters>, T, Parameters> 72 { 73 par_bacon m_proj_parm; 74 base_bacon_spheroidboost::geometry::projections::detail::bacon::base_bacon_spheroid75 inline base_bacon_spheroid(const Parameters& par) 76 : base_t_f<base_bacon_spheroid<T, Parameters>, T, Parameters>(*this, par) 77 {} 78 79 // FORWARD(s_forward) spheroid 80 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::bacon::base_bacon_spheroid81 inline void fwd(T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const 82 { 83 static const T half_pi = detail::half_pi<T>(); 84 static const T half_pi_sqr = detail::half_pi_sqr<T>(); 85 86 T ax, f; 87 88 xy_y = this->m_proj_parm.bacn ? half_pi * sin(lp_lat) : lp_lat; 89 if ((ax = fabs(lp_lon)) >= epsilon) { 90 if (this->m_proj_parm.ortl && ax >= half_pi) 91 xy_x = sqrt(half_pi_sqr - lp_lat * lp_lat + epsilon) + ax - half_pi; 92 else { 93 f = 0.5 * (half_pi_sqr / ax + ax); 94 xy_x = ax - f + sqrt(f * f - xy_y * xy_y); 95 } 96 if (lp_lon < 0.) xy_x = - xy_x; 97 } else 98 xy_x = 0.; 99 } 100 get_nameboost::geometry::projections::detail::bacon::base_bacon_spheroid101 static inline std::string get_name() 102 { 103 return "bacon_spheroid"; 104 } 105 106 }; 107 108 // Apian Globular I 109 template <typename Parameters> setup_apian(Parameters & par,par_bacon & proj_parm)110 inline void setup_apian(Parameters& par, par_bacon& proj_parm) 111 { 112 proj_parm.bacn = proj_parm.ortl = 0; 113 par.es = 0.; 114 } 115 116 // Ortelius Oval 117 template <typename Parameters> setup_ortel(Parameters & par,par_bacon & proj_parm)118 inline void setup_ortel(Parameters& par, par_bacon& proj_parm) 119 { 120 proj_parm.bacn = 0; 121 proj_parm.ortl = 1; 122 par.es = 0.; 123 } 124 125 // Bacon Globular 126 template <typename Parameters> setup_bacon(Parameters & par,par_bacon & proj_parm)127 inline void setup_bacon(Parameters& par, par_bacon& proj_parm) 128 { 129 proj_parm.bacn = 1; 130 proj_parm.ortl = 0; 131 par.es = 0.; 132 } 133 134 }} // namespace detail::bacon 135 #endif // doxygen 136 137 /*! 138 \brief Apian Globular I projection 139 \ingroup projections 140 \tparam Geographic latlong point type 141 \tparam Cartesian xy point type 142 \tparam Parameters parameter type 143 \par Projection characteristics 144 - Miscellaneous 145 - Spheroid 146 - no inverse 147 \par Example 148 \image html ex_apian.gif 149 */ 150 template <typename T, typename Parameters> 151 struct apian_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters> 152 { 153 template <typename Params> apian_spheroidboost::geometry::projections::apian_spheroid154 inline apian_spheroid(Params const& , Parameters const& par) 155 : detail::bacon::base_bacon_spheroid<T, Parameters>(par) 156 { 157 detail::bacon::setup_apian(this->m_par, this->m_proj_parm); 158 } 159 }; 160 161 /*! 162 \brief Ortelius Oval projection 163 \ingroup projections 164 \tparam Geographic latlong point type 165 \tparam Cartesian xy point type 166 \tparam Parameters parameter type 167 \par Projection characteristics 168 - Miscellaneous 169 - Spheroid 170 - no inverse 171 \par Example 172 \image html ex_ortel.gif 173 */ 174 template <typename T, typename Parameters> 175 struct ortel_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters> 176 { 177 template <typename Params> ortel_spheroidboost::geometry::projections::ortel_spheroid178 inline ortel_spheroid(Params const& , Parameters const& par) 179 : detail::bacon::base_bacon_spheroid<T, Parameters>(par) 180 { 181 detail::bacon::setup_ortel(this->m_par, this->m_proj_parm); 182 } 183 }; 184 185 /*! 186 \brief Bacon Globular projection 187 \ingroup projections 188 \tparam Geographic latlong point type 189 \tparam Cartesian xy point type 190 \tparam Parameters parameter type 191 \par Projection characteristics 192 - Miscellaneous 193 - Spheroid 194 - no inverse 195 \par Example 196 \image html ex_bacon.gif 197 */ 198 template <typename T, typename Parameters> 199 struct bacon_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters> 200 { 201 template <typename Params> bacon_spheroidboost::geometry::projections::bacon_spheroid202 inline bacon_spheroid(Params const& , Parameters const& par) 203 : detail::bacon::base_bacon_spheroid<T, Parameters>(par) 204 { 205 detail::bacon::setup_bacon(this->m_par, this->m_proj_parm); 206 } 207 }; 208 209 #ifndef DOXYGEN_NO_DETAIL 210 namespace detail 211 { 212 213 // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_apian,apian_spheroid,apian_spheroid)214 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_apian, apian_spheroid, apian_spheroid) 215 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_bacon, bacon_spheroid, bacon_spheroid) 216 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_ortel, ortel_spheroid, ortel_spheroid) 217 218 // Factory entry(s) 219 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(apian_entry, apian_spheroid) 220 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(ortel_entry, ortel_spheroid) 221 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(bacon_entry, bacon_spheroid) 222 223 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bacon_init) 224 { 225 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(apian, apian_entry) 226 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(ortel, ortel_entry) 227 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bacon, bacon_entry) 228 } 229 230 } // namespace detail 231 #endif // doxygen 232 233 } // namespace projections 234 235 }} // namespace boost::geometry 236 237 #endif // BOOST_GEOMETRY_PROJECTIONS_BACON_HPP 238 239