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92f5a8d4 | 1 | // Boost.Geometry - gis-projections (based on PROJ4) |
11fdf7f2 TL |
2 | |
3 | // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands. | |
4 | ||
92f5a8d4 TL |
5 | // This file was modified by Oracle on 2017, 2018, 2019. |
6 | // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates. | |
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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 | ||
92f5a8d4 | 18 | // Last updated version of proj: 5.0.0 |
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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 | ||
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40 | #ifndef BOOST_GEOMETRY_PROJECTIONS_PUTP2_HPP |
41 | #define BOOST_GEOMETRY_PROJECTIONS_PUTP2_HPP | |
42 | ||
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43 | #include <boost/geometry/srs/projections/impl/base_static.hpp> |
44 | #include <boost/geometry/srs/projections/impl/base_dynamic.hpp> | |
45 | #include <boost/geometry/srs/projections/impl/projects.hpp> | |
46 | #include <boost/geometry/srs/projections/impl/factory_entry.hpp> | |
47 | #include <boost/geometry/srs/projections/impl/aasincos.hpp> | |
48 | ||
49 | namespace boost { namespace geometry | |
50 | { | |
51 | ||
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52 | namespace projections |
53 | { | |
54 | #ifndef DOXYGEN_NO_DETAIL | |
55 | namespace detail { namespace putp2 | |
56 | { | |
57 | ||
58 | static const double C_x = 1.89490; | |
59 | static const double C_y = 1.71848; | |
60 | static const double C_p = 0.6141848493043784; | |
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61 | static const double epsilon = 1e-10; |
62 | static const int n_iter = 10; | |
63 | //static const double third_pi = 1.0471975511965977; | |
11fdf7f2 | 64 | |
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65 | template <typename T, typename Parameters> |
66 | struct base_putp2_spheroid | |
67 | { | |
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68 | // FORWARD(s_forward) spheroid |
69 | // Project coordinates from geographic (lon, lat) to cartesian (x, y) | |
92f5a8d4 | 70 | inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const |
11fdf7f2 | 71 | { |
92f5a8d4 | 72 | static const T third_pi = detail::third_pi<T>(); |
11fdf7f2 | 73 | |
92f5a8d4 | 74 | T p, c, s, V; |
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75 | int i; |
76 | ||
77 | p = C_p * sin(lp_lat); | |
78 | s = lp_lat * lp_lat; | |
79 | lp_lat *= 0.615709 + s * ( 0.00909953 + s * 0.0046292 ); | |
92f5a8d4 | 80 | for (i = n_iter; i ; --i) { |
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81 | c = cos(lp_lat); |
82 | s = sin(lp_lat); | |
83 | lp_lat -= V = (lp_lat + s * (c - 1.) - p) / | |
84 | (1. + c * (c - 1.) - s * s); | |
92f5a8d4 | 85 | if (fabs(V) < epsilon) |
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86 | break; |
87 | } | |
88 | if (!i) | |
92f5a8d4 | 89 | lp_lat = lp_lat < 0 ? - third_pi : third_pi; |
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90 | xy_x = C_x * lp_lon * (cos(lp_lat) - 0.5); |
91 | xy_y = C_y * sin(lp_lat); | |
92 | } | |
93 | ||
94 | // INVERSE(s_inverse) spheroid | |
95 | // Project coordinates from cartesian (x, y) to geographic (lon, lat) | |
92f5a8d4 | 96 | inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const |
11fdf7f2 | 97 | { |
92f5a8d4 | 98 | T c; |
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99 | |
100 | lp_lat = aasin(xy_y / C_y); | |
101 | lp_lon = xy_x / (C_x * ((c = cos(lp_lat)) - 0.5)); | |
102 | lp_lat = aasin((lp_lat + sin(lp_lat) * (c - 1.)) / C_p); | |
103 | } | |
104 | ||
105 | static inline std::string get_name() | |
106 | { | |
107 | return "putp2_spheroid"; | |
108 | } | |
109 | ||
110 | }; | |
111 | ||
112 | // Putnins P2 | |
113 | template <typename Parameters> | |
114 | inline void setup_putp2(Parameters& par) | |
115 | { | |
116 | par.es = 0.; | |
117 | } | |
118 | ||
119 | }} // namespace detail::putp2 | |
120 | #endif // doxygen | |
121 | ||
122 | /*! | |
123 | \brief Putnins P2 projection | |
124 | \ingroup projections | |
125 | \tparam Geographic latlong point type | |
126 | \tparam Cartesian xy point type | |
127 | \tparam Parameters parameter type | |
128 | \par Projection characteristics | |
129 | - Pseudocylindrical | |
130 | - Spheroid | |
131 | \par Example | |
132 | \image html ex_putp2.gif | |
133 | */ | |
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134 | template <typename T, typename Parameters> |
135 | struct putp2_spheroid : public detail::putp2::base_putp2_spheroid<T, Parameters> | |
11fdf7f2 | 136 | { |
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137 | template <typename Params> |
138 | inline putp2_spheroid(Params const& , Parameters & par) | |
11fdf7f2 | 139 | { |
92f5a8d4 | 140 | detail::putp2::setup_putp2(par); |
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141 | } |
142 | }; | |
143 | ||
144 | #ifndef DOXYGEN_NO_DETAIL | |
145 | namespace detail | |
146 | { | |
147 | ||
148 | // Static projection | |
92f5a8d4 | 149 | BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp2, putp2_spheroid) |
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150 | |
151 | // Factory entry(s) | |
92f5a8d4 | 152 | BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp2_entry, putp2_spheroid) |
11fdf7f2 | 153 | |
92f5a8d4 | 154 | BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(putp2_init) |
11fdf7f2 | 155 | { |
92f5a8d4 | 156 | BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp2, putp2_entry) |
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157 | } |
158 | ||
159 | } // namespace detail | |
160 | #endif // doxygen | |
161 | ||
162 | } // namespace projections | |
163 | ||
164 | }} // namespace boost::geometry | |
165 | ||
166 | #endif // BOOST_GEOMETRY_PROJECTIONS_PUTP2_HPP | |
167 |