projections/proj/mbtfpq.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_MBTFPQ_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_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 mbtfpq
0057     {
0058
0059             static const int n_iter = 20;
0060             static const double epsilon = 1e-7;
0061             static const double one_plus_tol = 1.000001;
0062             static const double C = 1.70710678118654752440;
0063             static const double RC = 0.58578643762690495119;
0064             static const double FYC = 1.87475828462269495505;
0065             static const double RYC = 0.53340209679417701685;
0066             static const double FXC = 0.31245971410378249250;
0067             static const double RXC = 3.20041258076506210122;
0068
0069             template <typename T, typename Parameters>
0070             struct base_mbtfpq_spheroid
0071             {
0072                 // FORWARD(s_forward)  spheroid
0073                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0074                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
0075                 {
0076                     T th1, c;
0077                     int i;
0078
0079                     c = C * sin(lp_lat);
0080                     for (i = n_iter; i; --i) {
0081                         lp_lat -= th1 = (sin(.5*lp_lat) + sin(lp_lat) - c) /
0082                             (.5*cos(.5*lp_lat)  + cos(lp_lat));
0083                         if (fabs(th1) < epsilon) break;
0084                     }
0085                     xy_x = FXC * lp_lon * (1.0 + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
0086                     xy_y = FYC * sin(0.5 * lp_lat);
0087                 }
0088
0089                 // INVERSE(s_inverse)  spheroid
0090                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0091                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0092                 {
0093                     static const T pi = detail::pi<T>();
0094                     static const T half_pi = detail::half_pi<T>();
0095
0096                     T t;
0097
0098                     lp_lat = RYC * xy_y;
0099                     if (fabs(lp_lat) > 1.) {
0100                         if (fabs(lp_lat) > one_plus_tol) {
0101                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
0102                         } else if (lp_lat < 0.) {
0103                             t = -1.; lp_lat = -pi;
0104                         } else {
0105                             t = 1.; lp_lat = pi;
0106                         }
0107                     } else
0108                         lp_lat = 2. * asin(t = lp_lat);
0109                     lp_lon = RXC * xy_x / (1. + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
0110                     lp_lat = RC * (t + sin(lp_lat));
0111                     if (fabs(lp_lat) > 1.)
0112                         if (fabs(lp_lat) > one_plus_tol) {
0113                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
0114                         } else
0115                             lp_lat = lp_lat < 0. ? -half_pi : half_pi;
0116                     else
0117                         lp_lat = asin(lp_lat);
0118                 }
0119
0120                 static inline std::string get_name()
0121                 {
0122                     return "mbtfpq_spheroid";
0123                 }
0124
0125             };
0126
0127             // McBryde-Thomas Flat-Polar Quartic
0128             template <typename Parameters>
0129             inline void setup_mbtfpq(Parameters& par)
0130             {
0131                 par.es = 0.;
0132             }
0133
0134     }} // namespace detail::mbtfpq
0135     #endif // doxygen
0136
0137     /*!
0138         \brief McBryde-Thomas Flat-Polar Quartic projection
0139         \ingroup projections
0140         \tparam Geographic latlong point type
0141         \tparam Cartesian xy point type
0142         \tparam Parameters parameter type
0143         \par Projection characteristics
0144          - Cylindrical
0145          - Spheroid
0146         \par Example
0147         \image html ex_mbtfpq.gif
0148     */
0149     template <typename T, typename Parameters>
0150     struct mbtfpq_spheroid : public detail::mbtfpq::base_mbtfpq_spheroid<T, Parameters>
0151     {
0152         template <typename Params>
0153         inline mbtfpq_spheroid(Params const& , Parameters & par)
0154         {
0155             detail::mbtfpq::setup_mbtfpq(par);
0156         }
0157     };
0158
0159     #ifndef DOXYGEN_NO_DETAIL
0160     namespace detail
0161     {
0162
0163         // Static projection
0164         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpq, mbtfpq_spheroid)
0165
0166         // Factory entry(s)
0167         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpq_entry, mbtfpq_spheroid)
0168
0169         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpq_init)
0170         {
0171             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpq, mbtfpq_entry)
0172         }
0173
0174     } // namespace detail
0175     #endif // doxygen
0176
0177 } // namespace projections
0178
0179 }} // namespace boost::geometry
0180
0181 #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP
0182