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, 2019. 6 // Modifications copyright (c) 2017-2019, 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 bool bacn; 65 bool ortl; 66 }; 67 68 template <typename T, typename Parameters> 69 struct base_bacon_spheroid 70 { 71 par_bacon m_proj_parm; 72 73 // FORWARD(s_forward) spheroid 74 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::bacon::base_bacon_spheroid75 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const 76 { 77 static const T half_pi = detail::half_pi<T>(); 78 static const T half_pi_sqr = detail::half_pi_sqr<T>(); 79 80 T ax, f; 81 82 xy_y = this->m_proj_parm.bacn ? half_pi * sin(lp_lat) : lp_lat; 83 if ((ax = fabs(lp_lon)) >= epsilon) { 84 if (this->m_proj_parm.ortl && ax >= half_pi) 85 xy_x = sqrt(half_pi_sqr - lp_lat * lp_lat + epsilon) + ax - half_pi; 86 else { 87 f = 0.5 * (half_pi_sqr / ax + ax); 88 xy_x = ax - f + sqrt(f * f - xy_y * xy_y); 89 } 90 if (lp_lon < 0.) xy_x = - xy_x; 91 } else 92 xy_x = 0.; 93 } 94 get_nameboost::geometry::projections::detail::bacon::base_bacon_spheroid95 static inline std::string get_name() 96 { 97 return "bacon_spheroid"; 98 } 99 100 }; 101 102 // Apian Globular I 103 template <typename Parameters> setup_apian(Parameters & par,par_bacon & proj_parm)104 inline void setup_apian(Parameters& par, par_bacon& proj_parm) 105 { 106 proj_parm.bacn = proj_parm.ortl = false; 107 par.es = 0.; 108 } 109 110 // Ortelius Oval 111 template <typename Parameters> setup_ortel(Parameters & par,par_bacon & proj_parm)112 inline void setup_ortel(Parameters& par, par_bacon& proj_parm) 113 { 114 proj_parm.bacn = false; 115 proj_parm.ortl = true; 116 par.es = 0.; 117 } 118 119 // Bacon Globular 120 template <typename Parameters> setup_bacon(Parameters & par,par_bacon & proj_parm)121 inline void setup_bacon(Parameters& par, par_bacon& proj_parm) 122 { 123 proj_parm.bacn = true; 124 proj_parm.ortl = false; 125 par.es = 0.; 126 } 127 128 }} // namespace detail::bacon 129 #endif // doxygen 130 131 /*! 132 \brief Apian Globular I projection 133 \ingroup projections 134 \tparam Geographic latlong point type 135 \tparam Cartesian xy point type 136 \tparam Parameters parameter type 137 \par Projection characteristics 138 - Miscellaneous 139 - Spheroid 140 - no inverse 141 \par Example 142 \image html ex_apian.gif 143 */ 144 template <typename T, typename Parameters> 145 struct apian_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters> 146 { 147 template <typename Params> apian_spheroidboost::geometry::projections::apian_spheroid148 inline apian_spheroid(Params const& , Parameters & par) 149 { 150 detail::bacon::setup_apian(par, this->m_proj_parm); 151 } 152 }; 153 154 /*! 155 \brief Ortelius Oval projection 156 \ingroup projections 157 \tparam Geographic latlong point type 158 \tparam Cartesian xy point type 159 \tparam Parameters parameter type 160 \par Projection characteristics 161 - Miscellaneous 162 - Spheroid 163 - no inverse 164 \par Example 165 \image html ex_ortel.gif 166 */ 167 template <typename T, typename Parameters> 168 struct ortel_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters> 169 { 170 template <typename Params> ortel_spheroidboost::geometry::projections::ortel_spheroid171 inline ortel_spheroid(Params const& , Parameters & par) 172 { 173 detail::bacon::setup_ortel(par, this->m_proj_parm); 174 } 175 }; 176 177 /*! 178 \brief Bacon Globular projection 179 \ingroup projections 180 \tparam Geographic latlong point type 181 \tparam Cartesian xy point type 182 \tparam Parameters parameter type 183 \par Projection characteristics 184 - Miscellaneous 185 - Spheroid 186 - no inverse 187 \par Example 188 \image html ex_bacon.gif 189 */ 190 template <typename T, typename Parameters> 191 struct bacon_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters> 192 { 193 template <typename Params> bacon_spheroidboost::geometry::projections::bacon_spheroid194 inline bacon_spheroid(Params const& , Parameters & par) 195 { 196 detail::bacon::setup_bacon(par, this->m_proj_parm); 197 } 198 }; 199 200 #ifndef DOXYGEN_NO_DETAIL 201 namespace detail 202 { 203 204 // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_apian,apian_spheroid)205 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_apian, apian_spheroid) 206 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_bacon, bacon_spheroid) 207 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_ortel, ortel_spheroid) 208 209 // Factory entry(s) 210 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(apian_entry, apian_spheroid) 211 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(ortel_entry, ortel_spheroid) 212 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(bacon_entry, bacon_spheroid) 213 214 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bacon_init) 215 { 216 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(apian, apian_entry) 217 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(ortel, ortel_entry) 218 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bacon, bacon_entry) 219 } 220 221 } // namespace detail 222 #endif // doxygen 223 224 } // namespace projections 225 226 }} // namespace boost::geometry 227 228 #endif // BOOST_GEOMETRY_PROJECTIONS_BACON_HPP 229 230