eqdc.hpp 9.0 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_EQDC_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_EQDC_HPP
  32. #include <boost/geometry/util/math.hpp>
  33. #include <boost/math/special_functions/hypot.hpp>
  34. #include <boost/geometry/srs/projections/impl/base_static.hpp>
  35. #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  36. #include <boost/geometry/srs/projections/impl/projects.hpp>
  37. #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  38. #include <boost/geometry/srs/projections/impl/pj_mlfn.hpp>
  39. #include <boost/geometry/srs/projections/impl/pj_msfn.hpp>
  40. namespace boost { namespace geometry
  41. {
  42. namespace srs { namespace par4
  43. {
  44. struct eqdc {}; // Equidistant Conic
  45. }} //namespace srs::par4
  46. namespace projections
  47. {
  48. #ifndef DOXYGEN_NO_DETAIL
  49. namespace detail { namespace eqdc
  50. {
  51. static const double epsilon10 = 1.e-10;
  52. template <typename T>
  53. struct par_eqdc
  54. {
  55. T phi1;
  56. T phi2;
  57. T n;
  58. T rho0;
  59. T c;
  60. detail::en<T> en;
  61. bool ellips;
  62. };
  63. // template class, using CRTP to implement forward/inverse
  64. template <typename T, typename Parameters>
  65. struct base_eqdc_ellipsoid
  66. : public base_t_fi<base_eqdc_ellipsoid<T, Parameters>, T, Parameters>
  67. {
  68. par_eqdc<T> m_proj_parm;
  69. inline base_eqdc_ellipsoid(const Parameters& par)
  70. : base_t_fi<base_eqdc_ellipsoid<T, Parameters>, T, Parameters>(*this, par)
  71. {}
  72. // FORWARD(e_forward) sphere & ellipsoid
  73. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  74. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  75. {
  76. T rho = 0.0;
  77. rho = this->m_proj_parm.c - (this->m_proj_parm.ellips ? pj_mlfn(lp_lat, sin(lp_lat),
  78. cos(lp_lat), this->m_proj_parm.en) : lp_lat);
  79. xy_x = rho * sin( lp_lon *= this->m_proj_parm.n );
  80. xy_y = this->m_proj_parm.rho0 - rho * cos(lp_lon);
  81. }
  82. // INVERSE(e_inverse) sphere & ellipsoid
  83. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  84. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  85. {
  86. static T const half_pi = detail::half_pi<T>();
  87. T rho = 0.0;
  88. if ((rho = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.rho0 - xy_y)) != 0.0 ) {
  89. if (this->m_proj_parm.n < 0.) {
  90. rho = -rho;
  91. xy_x = -xy_x;
  92. xy_y = -xy_y;
  93. }
  94. lp_lat = this->m_proj_parm.c - rho;
  95. if (this->m_proj_parm.ellips)
  96. lp_lat = pj_inv_mlfn(lp_lat, this->m_par.es, this->m_proj_parm.en);
  97. lp_lon = atan2(xy_x, xy_y) / this->m_proj_parm.n;
  98. } else {
  99. lp_lon = 0.;
  100. lp_lat = this->m_proj_parm.n > 0. ? half_pi : -half_pi;
  101. }
  102. }
  103. static inline std::string get_name()
  104. {
  105. return "eqdc_ellipsoid";
  106. }
  107. };
  108. // Equidistant Conic
  109. template <typename Parameters, typename T>
  110. inline void setup_eqdc(Parameters& par, par_eqdc<T>& proj_parm)
  111. {
  112. T cosphi, sinphi;
  113. int secant;
  114. proj_parm.phi1 = pj_get_param_r(par.params, "lat_1");
  115. proj_parm.phi2 = pj_get_param_r(par.params, "lat_2");
  116. if (fabs(proj_parm.phi1 + proj_parm.phi2) < epsilon10)
  117. BOOST_THROW_EXCEPTION( projection_exception(error_conic_lat_equal) );
  118. proj_parm.en = pj_enfn<T>(par.es);
  119. proj_parm.n = sinphi = sin(proj_parm.phi1);
  120. cosphi = cos(proj_parm.phi1);
  121. secant = fabs(proj_parm.phi1 - proj_parm.phi2) >= epsilon10;
  122. if( (proj_parm.ellips = (par.es > 0.)) ) {
  123. double ml1, m1;
  124. m1 = pj_msfn(sinphi, cosphi, par.es);
  125. ml1 = pj_mlfn(proj_parm.phi1, sinphi, cosphi, proj_parm.en);
  126. if (secant) { /* secant cone */
  127. sinphi = sin(proj_parm.phi2);
  128. cosphi = cos(proj_parm.phi2);
  129. proj_parm.n = (m1 - pj_msfn(sinphi, cosphi, par.es)) /
  130. (pj_mlfn(proj_parm.phi2, sinphi, cosphi, proj_parm.en) - ml1);
  131. }
  132. proj_parm.c = ml1 + m1 / proj_parm.n;
  133. proj_parm.rho0 = proj_parm.c - pj_mlfn(par.phi0, sin(par.phi0),
  134. cos(par.phi0), proj_parm.en);
  135. } else {
  136. if (secant)
  137. proj_parm.n = (cosphi - cos(proj_parm.phi2)) / (proj_parm.phi2 - proj_parm.phi1);
  138. proj_parm.c = proj_parm.phi1 + cos(proj_parm.phi1) / proj_parm.n;
  139. proj_parm.rho0 = proj_parm.c - par.phi0;
  140. }
  141. }
  142. }} // namespace detail::eqdc
  143. #endif // doxygen
  144. /*!
  145. \brief Equidistant Conic projection
  146. \ingroup projections
  147. \tparam Geographic latlong point type
  148. \tparam Cartesian xy point type
  149. \tparam Parameters parameter type
  150. \par Projection characteristics
  151. - Conic
  152. - Spheroid
  153. - Ellipsoid
  154. \par Projection parameters
  155. - lat_1: Latitude of first standard parallel (degrees)
  156. - lat_2: Latitude of second standard parallel (degrees)
  157. \par Example
  158. \image html ex_eqdc.gif
  159. */
  160. template <typename T, typename Parameters>
  161. struct eqdc_ellipsoid : public detail::eqdc::base_eqdc_ellipsoid<T, Parameters>
  162. {
  163. inline eqdc_ellipsoid(const Parameters& par) : detail::eqdc::base_eqdc_ellipsoid<T, Parameters>(par)
  164. {
  165. detail::eqdc::setup_eqdc(this->m_par, this->m_proj_parm);
  166. }
  167. };
  168. #ifndef DOXYGEN_NO_DETAIL
  169. namespace detail
  170. {
  171. // Static projection
  172. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::eqdc, eqdc_ellipsoid, eqdc_ellipsoid)
  173. // Factory entry(s)
  174. template <typename T, typename Parameters>
  175. class eqdc_entry : public detail::factory_entry<T, Parameters>
  176. {
  177. public :
  178. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  179. {
  180. return new base_v_fi<eqdc_ellipsoid<T, Parameters>, T, Parameters>(par);
  181. }
  182. };
  183. template <typename T, typename Parameters>
  184. inline void eqdc_init(detail::base_factory<T, Parameters>& factory)
  185. {
  186. factory.add_to_factory("eqdc", new eqdc_entry<T, Parameters>);
  187. }
  188. } // namespace detail
  189. #endif // doxygen
  190. } // namespace projections
  191. }} // namespace boost::geometry
  192. #endif // BOOST_GEOMETRY_PROJECTIONS_EQDC_HPP