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_MBTFPQ_HPP 41 #define BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_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 mbtfpq 57 { 58 59 static const int n_iter = 20; 60 static const double epsilon = 1e-7; 61 static const double one_plus_tol = 1.000001; 62 static const double C = 1.70710678118654752440; 63 static const double RC = 0.58578643762690495119; 64 static const double FYC = 1.87475828462269495505; 65 static const double RYC = 0.53340209679417701685; 66 static const double FXC = 0.31245971410378249250; 67 static const double RXC = 3.20041258076506210122; 68 69 template <typename T, typename Parameters> 70 struct base_mbtfpq_spheroid 71 { 72 // FORWARD(s_forward) spheroid 73 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::mbtfpq::base_mbtfpq_spheroid74 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const 75 { 76 T th1, c; 77 int i; 78 79 c = C * sin(lp_lat); 80 for (i = n_iter; i; --i) { 81 lp_lat -= th1 = (sin(.5*lp_lat) + sin(lp_lat) - c) / 82 (.5*cos(.5*lp_lat) + cos(lp_lat)); 83 if (fabs(th1) < epsilon) break; 84 } 85 xy_x = FXC * lp_lon * (1.0 + 2. * cos(lp_lat)/cos(0.5 * lp_lat)); 86 xy_y = FYC * sin(0.5 * lp_lat); 87 } 88 89 // INVERSE(s_inverse) spheroid 90 // Project coordinates from cartesian (x, y) to geographic (lon, lat) invboost::geometry::projections::detail::mbtfpq::base_mbtfpq_spheroid91 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const 92 { 93 static const T pi = detail::pi<T>(); 94 static const T half_pi = detail::half_pi<T>(); 95 96 T t; 97 98 lp_lat = RYC * xy_y; 99 if (fabs(lp_lat) > 1.) { 100 if (fabs(lp_lat) > one_plus_tol) { 101 BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); 102 } else if (lp_lat < 0.) { 103 t = -1.; lp_lat = -pi; 104 } else { 105 t = 1.; lp_lat = pi; 106 } 107 } else 108 lp_lat = 2. * asin(t = lp_lat); 109 lp_lon = RXC * xy_x / (1. + 2. * cos(lp_lat)/cos(0.5 * lp_lat)); 110 lp_lat = RC * (t + sin(lp_lat)); 111 if (fabs(lp_lat) > 1.) 112 if (fabs(lp_lat) > one_plus_tol) { 113 BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); 114 } else 115 lp_lat = lp_lat < 0. ? -half_pi : half_pi; 116 else 117 lp_lat = asin(lp_lat); 118 } 119 get_nameboost::geometry::projections::detail::mbtfpq::base_mbtfpq_spheroid120 static inline std::string get_name() 121 { 122 return "mbtfpq_spheroid"; 123 } 124 125 }; 126 127 // McBryde-Thomas Flat-Polar Quartic 128 template <typename Parameters> setup_mbtfpq(Parameters & par)129 inline void setup_mbtfpq(Parameters& par) 130 { 131 par.es = 0.; 132 } 133 134 }} // namespace detail::mbtfpq 135 #endif // doxygen 136 137 /*! 138 \brief McBryde-Thomas Flat-Polar Quartic 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 - Cylindrical 145 - Spheroid 146 \par Example 147 \image html ex_mbtfpq.gif 148 */ 149 template <typename T, typename Parameters> 150 struct mbtfpq_spheroid : public detail::mbtfpq::base_mbtfpq_spheroid<T, Parameters> 151 { 152 template <typename Params> mbtfpq_spheroidboost::geometry::projections::mbtfpq_spheroid153 inline mbtfpq_spheroid(Params const& , Parameters & par) 154 { 155 detail::mbtfpq::setup_mbtfpq(par); 156 } 157 }; 158 159 #ifndef DOXYGEN_NO_DETAIL 160 namespace detail 161 { 162 163 // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpq,mbtfpq_spheroid)164 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpq, mbtfpq_spheroid) 165 166 // Factory entry(s) 167 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpq_entry, mbtfpq_spheroid) 168 169 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpq_init) 170 { 171 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpq, mbtfpq_entry) 172 } 173 174 } // namespace detail 175 #endif // doxygen 176 177 } // namespace projections 178 179 }} // namespace boost::geometry 180 181 #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP 182 183