cea.hpp 9.4 KB

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  1. // Boost.Geometry - gis-projections (based on PROJ4)
  2. // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
  3. // This file was modified by Oracle on 2017, 2018.
  4. // Modifications copyright (c) 2017-2018, Oracle and/or its affiliates.
  5. // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
  6. // Use, modification and distribution is subject to the Boost Software License,
  7. // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  8. // http://www.boost.org/LICENSE_1_0.txt)
  9. // This file is converted from PROJ4, http://trac.osgeo.org/proj
  10. // PROJ4 is originally written by Gerald Evenden (then of the USGS)
  11. // PROJ4 is maintained by Frank Warmerdam
  12. // PROJ4 is converted to Boost.Geometry by Barend Gehrels
  13. // Last updated version of proj: 5.0.0
  14. // Original copyright notice:
  15. // Permission is hereby granted, free of charge, to any person obtaining a
  16. // copy of this software and associated documentation files (the "Software"),
  17. // to deal in the Software without restriction, including without limitation
  18. // the rights to use, copy, modify, merge, publish, distribute, sublicense,
  19. // and/or sell copies of the Software, and to permit persons to whom the
  20. // Software is furnished to do so, subject to the following conditions:
  21. // The above copyright notice and this permission notice shall be included
  22. // in all copies or substantial portions of the Software.
  23. // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
  24. // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  25. // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  26. // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  27. // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
  28. // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
  29. // DEALINGS IN THE SOFTWARE.
  30. #ifndef BOOST_GEOMETRY_PROJECTIONS_CEA_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_CEA_HPP
  32. #include <boost/geometry/util/math.hpp>
  33. #include <boost/geometry/srs/projections/impl/base_static.hpp>
  34. #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  35. #include <boost/geometry/srs/projections/impl/projects.hpp>
  36. #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  37. #include <boost/geometry/srs/projections/impl/pj_auth.hpp>
  38. #include <boost/geometry/srs/projections/impl/pj_qsfn.hpp>
  39. namespace boost { namespace geometry
  40. {
  41. namespace srs { namespace par4
  42. {
  43. struct cea {};
  44. }} //namespace srs::par4
  45. namespace projections
  46. {
  47. #ifndef DOXYGEN_NO_DETAIL
  48. namespace detail { namespace cea
  49. {
  50. static const double epsilon = 1e-10;
  51. template <typename T>
  52. struct par_cea
  53. {
  54. T qp;
  55. detail::apa<T> apa;
  56. };
  57. // template class, using CRTP to implement forward/inverse
  58. template <typename T, typename Parameters>
  59. struct base_cea_ellipsoid
  60. : public base_t_fi<base_cea_ellipsoid<T, Parameters>, T, Parameters>
  61. {
  62. par_cea<T> m_proj_parm;
  63. inline base_cea_ellipsoid(const Parameters& par)
  64. : base_t_fi<base_cea_ellipsoid<T, Parameters>, T, Parameters>(*this, par)
  65. {}
  66. // FORWARD(e_forward) spheroid
  67. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  68. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  69. {
  70. xy_x = this->m_par.k0 * lp_lon;
  71. xy_y = .5 * pj_qsfn(sin(lp_lat), this->m_par.e, this->m_par.one_es) / this->m_par.k0;
  72. }
  73. // INVERSE(e_inverse) spheroid
  74. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  75. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  76. {
  77. lp_lat = pj_authlat(asin( 2. * xy_y * this->m_par.k0 / this->m_proj_parm.qp), this->m_proj_parm.apa);
  78. lp_lon = xy_x / this->m_par.k0;
  79. }
  80. static inline std::string get_name()
  81. {
  82. return "cea_ellipsoid";
  83. }
  84. };
  85. // template class, using CRTP to implement forward/inverse
  86. template <typename T, typename Parameters>
  87. struct base_cea_spheroid
  88. : public base_t_fi<base_cea_spheroid<T, Parameters>, T, Parameters>
  89. {
  90. par_cea<T> m_proj_parm;
  91. inline base_cea_spheroid(const Parameters& par)
  92. : base_t_fi<base_cea_spheroid<T, Parameters>, T, Parameters>(*this, par)
  93. {}
  94. // FORWARD(s_forward) spheroid
  95. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  96. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  97. {
  98. xy_x = this->m_par.k0 * lp_lon;
  99. xy_y = sin(lp_lat) / this->m_par.k0;
  100. }
  101. // INVERSE(s_inverse) spheroid
  102. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  103. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  104. {
  105. static const T half_pi = detail::half_pi<T>();
  106. T t;
  107. if ((t = fabs(xy_y *= this->m_par.k0)) - epsilon <= 1.) {
  108. if (t >= 1.)
  109. lp_lat = xy_y < 0. ? -half_pi : half_pi;
  110. else
  111. lp_lat = asin(xy_y);
  112. lp_lon = xy_x / this->m_par.k0;
  113. } else
  114. BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  115. }
  116. static inline std::string get_name()
  117. {
  118. return "cea_spheroid";
  119. }
  120. };
  121. // Equal Area Cylindrical
  122. template <typename Parameters, typename T>
  123. inline void setup_cea(Parameters& par, par_cea<T>& proj_parm)
  124. {
  125. T t = 0;
  126. if (pj_param_r(par.params, "lat_ts", t)) {
  127. par.k0 = cos(t);
  128. if (par.k0 < 0.) {
  129. BOOST_THROW_EXCEPTION( projection_exception(error_lat_ts_larger_than_90) );
  130. }
  131. }
  132. if (par.es != 0.0) {
  133. t = sin(t);
  134. par.k0 /= sqrt(1. - par.es * t * t);
  135. par.e = sqrt(par.es);
  136. proj_parm.apa = pj_authset<T>(par.es);
  137. proj_parm.qp = pj_qsfn(1., par.e, par.one_es);
  138. }
  139. }
  140. }} // namespace detail::cea
  141. #endif // doxygen
  142. /*!
  143. \brief Equal Area Cylindrical projection
  144. \ingroup projections
  145. \tparam Geographic latlong point type
  146. \tparam Cartesian xy point type
  147. \tparam Parameters parameter type
  148. \par Projection characteristics
  149. - Cylindrical
  150. - Spheroid
  151. - Ellipsoid
  152. \par Projection parameters
  153. - lat_ts: Latitude of true scale (degrees)
  154. \par Example
  155. \image html ex_cea.gif
  156. */
  157. template <typename T, typename Parameters>
  158. struct cea_ellipsoid : public detail::cea::base_cea_ellipsoid<T, Parameters>
  159. {
  160. inline cea_ellipsoid(const Parameters& par) : detail::cea::base_cea_ellipsoid<T, Parameters>(par)
  161. {
  162. detail::cea::setup_cea(this->m_par, this->m_proj_parm);
  163. }
  164. };
  165. /*!
  166. \brief Equal Area Cylindrical projection
  167. \ingroup projections
  168. \tparam Geographic latlong point type
  169. \tparam Cartesian xy point type
  170. \tparam Parameters parameter type
  171. \par Projection characteristics
  172. - Cylindrical
  173. - Spheroid
  174. - Ellipsoid
  175. \par Projection parameters
  176. - lat_ts: Latitude of true scale (degrees)
  177. \par Example
  178. \image html ex_cea.gif
  179. */
  180. template <typename T, typename Parameters>
  181. struct cea_spheroid : public detail::cea::base_cea_spheroid<T, Parameters>
  182. {
  183. inline cea_spheroid(const Parameters& par) : detail::cea::base_cea_spheroid<T, Parameters>(par)
  184. {
  185. detail::cea::setup_cea(this->m_par, this->m_proj_parm);
  186. }
  187. };
  188. #ifndef DOXYGEN_NO_DETAIL
  189. namespace detail
  190. {
  191. // Static projection
  192. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::cea, cea_spheroid, cea_ellipsoid)
  193. // Factory entry(s)
  194. template <typename T, typename Parameters>
  195. class cea_entry : public detail::factory_entry<T, Parameters>
  196. {
  197. public :
  198. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  199. {
  200. if (par.es)
  201. return new base_v_fi<cea_ellipsoid<T, Parameters>, T, Parameters>(par);
  202. else
  203. return new base_v_fi<cea_spheroid<T, Parameters>, T, Parameters>(par);
  204. }
  205. };
  206. template <typename T, typename Parameters>
  207. inline void cea_init(detail::base_factory<T, Parameters>& factory)
  208. {
  209. factory.add_to_factory("cea", new cea_entry<T, Parameters>);
  210. }
  211. } // namespace detail
  212. #endif // doxygen
  213. } // namespace projections
  214. }} // namespace boost::geometry
  215. #endif // BOOST_GEOMETRY_PROJECTIONS_CEA_HPP