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_BOGGS_HPP 41 #define BOOST_GEOMETRY_PROJECTIONS_BOGGS_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 boggs 57 { 58 59 static const int n_iter = 20; 60 static const double epsilon = 1e-7; 61 static const double FXC = 2.00276; 62 static const double FXC2 = 1.11072; 63 static const double FYC = 0.49931; 64 65 template <typename T, typename Parameters> 66 struct base_boggs_spheroid 67 { 68 // FORWARD(s_forward) spheroid 69 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::boggs::base_boggs_spheroid70 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const 71 { 72 static const T half_pi = detail::half_pi<T>(); 73 static const T pi = detail::pi<T>(); 74 static const T root_two = boost::math::constants::root_two<T>(); 75 76 T theta, th1, c; 77 int i; 78 79 theta = lp_lat; 80 if (fabs(fabs(lp_lat) - half_pi) < epsilon) 81 xy_x = 0.; 82 else { 83 c = sin(theta) * pi; 84 for (i = n_iter; i; --i) { 85 theta -= th1 = (theta + sin(theta) - c) / 86 (1. + cos(theta)); 87 if (fabs(th1) < epsilon) break; 88 } 89 theta *= 0.5; 90 xy_x = FXC * lp_lon / (1. / cos(lp_lat) + FXC2 / cos(theta)); 91 } 92 xy_y = FYC * (lp_lat + root_two * sin(theta)); 93 } 94 get_nameboost::geometry::projections::detail::boggs::base_boggs_spheroid95 static inline std::string get_name() 96 { 97 return "boggs_spheroid"; 98 } 99 100 }; 101 102 // Boggs Eumorphic 103 template <typename Parameters> setup_boggs(Parameters & par)104 inline void setup_boggs(Parameters& par) 105 { 106 par.es = 0.; 107 } 108 109 }} // namespace detail::boggs 110 #endif // doxygen 111 112 /*! 113 \brief Boggs Eumorphic projection 114 \ingroup projections 115 \tparam Geographic latlong point type 116 \tparam Cartesian xy point type 117 \tparam Parameters parameter type 118 \par Projection characteristics 119 - Pseudocylindrical 120 - no inverse 121 - Spheroid 122 \par Example 123 \image html ex_boggs.gif 124 */ 125 template <typename T, typename Parameters> 126 struct boggs_spheroid : public detail::boggs::base_boggs_spheroid<T, Parameters> 127 { 128 template <typename Params> boggs_spheroidboost::geometry::projections::boggs_spheroid129 inline boggs_spheroid(Params const& , Parameters & par) 130 { 131 detail::boggs::setup_boggs(par); 132 } 133 }; 134 135 #ifndef DOXYGEN_NO_DETAIL 136 namespace detail 137 { 138 139 // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_boggs,boggs_spheroid)140 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_boggs, boggs_spheroid) 141 142 // Factory entry(s) 143 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(boggs_entry, boggs_spheroid) 144 145 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(boggs_init) 146 { 147 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(boggs, boggs_entry); 148 } 149 150 } // namespace detail 151 #endif // doxygen 152 153 } // namespace projections 154 155 }} // namespace boost::geometry 156 157 #endif // BOOST_GEOMETRY_PROJECTIONS_BOGGS_HPP 158 159