projections/proj/august.hpp

0001 // Boost.Geometry - gis-projections (based on PROJ4)
0002
0003 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
0004
0005 // This file was modified by Oracle on 2017, 2018, 2019.
0006 // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
0007 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
0008
0009 // Use, modification and distribution is subject to the Boost Software License,
0010 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
0011 // http://www.boost.org/LICENSE_1_0.txt)
0012
0013 // This file is converted from PROJ4, http://trac.osgeo.org/proj
0014 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
0015 // PROJ4 is maintained by Frank Warmerdam
0016 // PROJ4 is converted to Boost.Geometry by Barend Gehrels
0017
0018 // Last updated version of proj: 5.0.0
0019
0020 // Original copyright notice:
0021
0022 // Permission is hereby granted, free of charge, to any person obtaining a
0023 // copy of this software and associated documentation files (the "Software"),
0024 // to deal in the Software without restriction, including without limitation
0025 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
0026 // and/or sell copies of the Software, and to permit persons to whom the
0027 // Software is furnished to do so, subject to the following conditions:
0028
0029 // The above copyright notice and this permission notice shall be included
0030 // in all copies or substantial portions of the Software.
0031
0032 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
0033 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
0034 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
0035 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
0036 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
0037 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
0038 // DEALINGS IN THE SOFTWARE.
0039
0040 #ifndef BOOST_GEOMETRY_PROJECTIONS_AUGUST_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_AUGUST_HPP
0042
0043 #include <boost/geometry/srs/projections/impl/base_static.hpp>
0044 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
0045 #include <boost/geometry/srs/projections/impl/projects.hpp>
0046 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
0047
0048 namespace boost { namespace geometry
0049 {
0050
0051 namespace projections
0052 {
0053     #ifndef DOXYGEN_NO_DETAIL
0054     namespace detail { namespace august
0055     {
0056
0057             //static const double M = 1.333333333333333;
0058
0059             template <typename T, typename Parameters>
0060             struct base_august_spheroid
0061             {
0062                 // FORWARD(s_forward)  spheroid
0063                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0064                 inline void fwd(Parameters const& , T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
0065                 {
0066                     static const T M = 1.333333333333333333333333333333333333;
0067
0068                     T t, c1, c, x1, x12, y1, y12;
0069
0070                     t = tan(.5 * lp_lat);
0071                     c1 = sqrt(1. - t * t);
0072                     c = 1. + c1 * cos(lp_lon *= .5);
0073                     x1 = sin(lp_lon) *  c1 / c;
0074                     y1 =  t / c;
0075                     xy_x = M * x1 * (3. + (x12 = x1 * x1) - 3. * (y12 = y1 *  y1));
0076                     xy_y = M * y1 * (3. + 3. * x12 - y12);
0077                 }
0078
0079                 static inline std::string get_name()
0080                 {
0081                     return "august_spheroid";
0082                 }
0083
0084             };
0085
0086             // August Epicycloidal
0087             template <typename Parameters>
0088             inline void setup_august(Parameters& par)
0089             {
0090                 par.es = 0.;
0091             }
0092
0093     }} // namespace detail::august
0094     #endif // doxygen
0095
0096     /*!
0097         \brief August Epicycloidal projection
0098         \ingroup projections
0099         \tparam Geographic latlong point type
0100         \tparam Cartesian xy point type
0101         \tparam Parameters parameter type
0102         \par Projection characteristics
0103          - Miscellaneous
0104          - Spheroid
0105          - no inverse
0106         \par Example
0107         \image html ex_august.gif
0108     */
0109     template <typename T, typename Parameters>
0110     struct august_spheroid : public detail::august::base_august_spheroid<T, Parameters>
0111     {
0112         template <typename Params>
0113         inline august_spheroid(Params const& , Parameters & par)
0114         {
0115             detail::august::setup_august(par);
0116         }
0117     };
0118
0119     #ifndef DOXYGEN_NO_DETAIL
0120     namespace detail
0121     {
0122
0123         // Static projection
0124         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_august, august_spheroid)
0125
0126         // Factory entry(s)
0127         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(august_entry, august_spheroid)
0128
0129         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(august_init)
0130         {
0131             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(august, august_entry)
0132         }
0133
0134     } // namespace detail
0135     #endif // doxygen
0136
0137 } // namespace projections
0138
0139 }} // namespace boost::geometry
0140
0141 #endif // BOOST_GEOMETRY_PROJECTIONS_AUGUST_HPP
0142