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_ECK2_HPP 41 #define BOOST_GEOMETRY_PROJECTIONS_ECK2_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 eck2 57 { 58 59 static const double FXC = 0.46065886596178063902; 60 static const double FYC = 1.44720250911653531871; 61 //static const double C13 = 0.33333333333333333333; 62 static const double one_plus_eps = 1.0000001; 63 64 template <typename T, typename Parameters> 65 struct base_eck2_spheroid 66 { 67 // FORWARD(s_forward) spheroid 68 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::eck2::base_eck2_spheroid69 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const 70 { 71 xy_x = FXC * lp_lon * (xy_y = sqrt(4. - 3. * sin(fabs(lp_lat)))); 72 xy_y = FYC * (2. - xy_y); 73 if ( lp_lat < 0.) xy_y = -xy_y; 74 } 75 76 // INVERSE(s_inverse) spheroid 77 // Project coordinates from cartesian (x, y) to geographic (lon, lat) invboost::geometry::projections::detail::eck2::base_eck2_spheroid78 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const 79 { 80 static const T half_pi = detail::half_pi<T>(); 81 static const T C13 = detail::third<T>(); 82 83 lp_lon = xy_x / (FXC * ( lp_lat = 2. - fabs(xy_y) / FYC) ); 84 lp_lat = (4. - lp_lat * lp_lat) * C13; 85 if (fabs(lp_lat) >= 1.) { 86 if (fabs(lp_lat) > one_plus_eps) 87 BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); 88 else 89 lp_lat = lp_lat < 0. ? -half_pi : half_pi; 90 } else 91 lp_lat = asin(lp_lat); 92 if (xy_y < 0) 93 lp_lat = -lp_lat; 94 } 95 get_nameboost::geometry::projections::detail::eck2::base_eck2_spheroid96 static inline std::string get_name() 97 { 98 return "eck2_spheroid"; 99 } 100 101 }; 102 103 // Eckert II 104 template <typename Parameters> setup_eck2(Parameters & par)105 inline void setup_eck2(Parameters& par) 106 { 107 par.es = 0.; 108 } 109 110 }} // namespace detail::eck2 111 #endif // doxygen 112 113 /*! 114 \brief Eckert II projection 115 \ingroup projections 116 \tparam Geographic latlong point type 117 \tparam Cartesian xy point type 118 \tparam Parameters parameter type 119 \par Projection characteristics 120 - Pseudocylindrical 121 - Spheroid 122 \par Example 123 \image html ex_eck2.gif 124 */ 125 template <typename T, typename Parameters> 126 struct eck2_spheroid : public detail::eck2::base_eck2_spheroid<T, Parameters> 127 { 128 template <typename Params> eck2_spheroidboost::geometry::projections::eck2_spheroid129 inline eck2_spheroid(Params const& , Parameters & par) 130 { 131 detail::eck2::setup_eck2(par); 132 } 133 }; 134 135 #ifndef DOXYGEN_NO_DETAIL 136 namespace detail 137 { 138 139 // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_eck2,eck2_spheroid)140 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_eck2, eck2_spheroid) 141 142 // Factory entry(s) 143 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(eck2_entry, eck2_spheroid) 144 145 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(eck2_init) 146 { 147 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(eck2, eck2_entry); 148 } 149 150 } // namespace detail 151 #endif // doxygen 152 153 } // namespace projections 154 155 }} // namespace boost::geometry 156 157 #endif // BOOST_GEOMETRY_PROJECTIONS_ECK2_HPP 158 159