projections/proj/nocol.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_NOCOL_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_NOCOL_HPP
0042
0043 #include <boost/geometry/util/math.hpp>
0044
0045 #include <boost/geometry/srs/projections/impl/base_static.hpp>
0046 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
0047 #include <boost/geometry/srs/projections/impl/projects.hpp>
0048 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
0049
0050 namespace boost { namespace geometry
0051 {
0052
0053 namespace projections
0054 {
0055     #ifndef DOXYGEN_NO_DETAIL
0056     namespace detail { namespace nocol
0057     {
0058
0059             static const double epsilon = 1e-10;
0060
0061             template <typename T, typename Parameters>
0062             struct base_nocol_spheroid
0063             {
0064                 // FORWARD(s_forward)  spheroid
0065                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0066                 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
0067                 {
0068                     static const T half_pi = detail::half_pi<T>();
0069
0070                     if (fabs(lp_lon) < epsilon) {
0071                         xy_x = 0;
0072                         xy_y = lp_lat;
0073                     } else if (fabs(lp_lat) < epsilon) {
0074                         xy_x = lp_lon;
0075                         xy_y = 0.;
0076                     } else if (fabs(fabs(lp_lon) - half_pi) < epsilon) {
0077                         xy_x = lp_lon * cos(lp_lat);
0078                         xy_y = half_pi * sin(lp_lat);
0079                     } else if (fabs(fabs(lp_lat) - half_pi) < epsilon) {
0080                         xy_x = 0;
0081                         xy_y = lp_lat;
0082                     } else {
0083                         T tb, c, d, m, n, r2, sp;
0084
0085                         tb = half_pi / lp_lon - lp_lon / half_pi;
0086                         c = lp_lat / half_pi;
0087                         d = (1 - c * c)/((sp = sin(lp_lat)) - c);
0088                         r2 = tb / d;
0089                         r2 *= r2;
0090                         m = (tb * sp / d - 0.5 * tb)/(1. + r2);
0091                         n = (sp / r2 + 0.5 * d)/(1. + 1./r2);
0092                         xy_x = cos(lp_lat);
0093                         xy_x = sqrt(m * m + xy_x * xy_x / (1. + r2));
0094                         xy_x = half_pi * ( m + (lp_lon < 0. ? -xy_x : xy_x));
0095                         xy_y = sqrt(n * n - (sp * sp / r2 + d * sp - 1.) /
0096                             (1. + 1./r2));
0097                         xy_y = half_pi * ( n + (lp_lat < 0. ? xy_y : -xy_y ));
0098                     }
0099                 }
0100
0101                 static inline std::string get_name()
0102                 {
0103                     return "nocol_spheroid";
0104                 }
0105
0106             };
0107
0108             // Nicolosi Globular
0109             template <typename Parameters>
0110             inline void setup_nicol(Parameters& par)
0111             {
0112                 par.es = 0.;
0113             }
0114
0115     }} // namespace detail::nocol
0116     #endif // doxygen
0117
0118     /*!
0119         \brief Nicolosi Globular projection
0120         \ingroup projections
0121         \tparam Geographic latlong point type
0122         \tparam Cartesian xy point type
0123         \tparam Parameters parameter type
0124         \par Projection characteristics
0125          - Miscellaneous
0126          - Spheroid
0127          - no inverse
0128         \par Example
0129         \image html ex_nicol.gif
0130     */
0131     template <typename T, typename Parameters>
0132     struct nicol_spheroid : public detail::nocol::base_nocol_spheroid<T, Parameters>
0133     {
0134         template <typename Params>
0135         inline nicol_spheroid(Params const& , Parameters & par)
0136         {
0137             detail::nocol::setup_nicol(par);
0138         }
0139     };
0140
0141     #ifndef DOXYGEN_NO_DETAIL
0142     namespace detail
0143     {
0144
0145         // Static projection
0146         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_nicol, nicol_spheroid)
0147
0148         // Factory entry(s)
0149         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(nicol_entry, nicol_spheroid)
0150
0151         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nocol_init)
0152         {
0153             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nicol, nicol_entry)
0154         }
0155
0156     } // namespace detail
0157     #endif // doxygen
0158
0159 } // namespace projections
0160
0161 }} // namespace boost::geometry
0162
0163 #endif // BOOST_GEOMETRY_PROJECTIONS_NOCOL_HPP
0164