loxim.hpp 7.5 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_LOXIM_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_LOXIM_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. namespace boost { namespace geometry
  38. {
  39. namespace srs { namespace par4
  40. {
  41. struct loxim {}; // Loximuthal
  42. }} //namespace srs::par4
  43. namespace projections
  44. {
  45. #ifndef DOXYGEN_NO_DETAIL
  46. namespace detail { namespace loxim
  47. {
  48. static const double epsilon = 1e-8;
  49. template <typename T>
  50. struct par_loxim
  51. {
  52. T phi1;
  53. T cosphi1;
  54. T tanphi1;
  55. };
  56. // template class, using CRTP to implement forward/inverse
  57. template <typename T, typename Parameters>
  58. struct base_loxim_spheroid
  59. : public base_t_fi<base_loxim_spheroid<T, Parameters>, T, Parameters>
  60. {
  61. par_loxim<T> m_proj_parm;
  62. inline base_loxim_spheroid(const Parameters& par)
  63. : base_t_fi<base_loxim_spheroid<T, Parameters>, T, Parameters>(*this, par)
  64. {}
  65. // FORWARD(s_forward) spheroid
  66. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  67. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  68. {
  69. static const T fourth_pi = detail::fourth_pi<T>();
  70. static const T half_pi = detail::half_pi<T>();
  71. xy_y = lp_lat - this->m_proj_parm.phi1;
  72. if (fabs(xy_y) < epsilon)
  73. xy_x = lp_lon * this->m_proj_parm.cosphi1;
  74. else {
  75. xy_x = fourth_pi + 0.5 * lp_lat;
  76. if (fabs(xy_x) < epsilon || fabs(fabs(xy_x) - half_pi) < epsilon)
  77. xy_x = 0.;
  78. else
  79. xy_x = lp_lon * xy_y / log( tan(xy_x) / this->m_proj_parm.tanphi1 );
  80. }
  81. }
  82. // INVERSE(s_inverse) spheroid
  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 const T fourth_pi = detail::fourth_pi<T>();
  87. static const T half_pi = detail::half_pi<T>();
  88. lp_lat = xy_y + this->m_proj_parm.phi1;
  89. if (fabs(xy_y) < epsilon) {
  90. lp_lon = xy_x / this->m_proj_parm.cosphi1;
  91. } else {
  92. lp_lon = fourth_pi + 0.5 * lp_lat;
  93. if (fabs(lp_lon) < epsilon || fabs(fabs(lp_lon) - half_pi) < epsilon)
  94. lp_lon = 0.;
  95. else
  96. lp_lon = xy_x * log( tan(lp_lon) / this->m_proj_parm.tanphi1 ) / xy_y ;
  97. }
  98. }
  99. static inline std::string get_name()
  100. {
  101. return "loxim_spheroid";
  102. }
  103. };
  104. // Loximuthal
  105. template <typename Parameters, typename T>
  106. inline void setup_loxim(Parameters& par, par_loxim<T>& proj_parm)
  107. {
  108. static const T fourth_pi = detail::fourth_pi<T>();
  109. proj_parm.phi1 = pj_get_param_r(par.params, "lat_1");
  110. proj_parm.cosphi1 = cos(proj_parm.phi1);
  111. if (proj_parm.cosphi1 < epsilon)
  112. BOOST_THROW_EXCEPTION( projection_exception(error_lat_larger_than_90) );
  113. proj_parm.tanphi1 = tan(fourth_pi + 0.5 * proj_parm.phi1);
  114. par.es = 0.;
  115. }
  116. }} // namespace detail::loxim
  117. #endif // doxygen
  118. /*!
  119. \brief Loximuthal projection
  120. \ingroup projections
  121. \tparam Geographic latlong point type
  122. \tparam Cartesian xy point type
  123. \tparam Parameters parameter type
  124. \par Projection characteristics
  125. - Pseudocylindrical
  126. - Spheroid
  127. \par Projection parameters
  128. - lat_1: Latitude of first standard parallel (degrees)
  129. \par Example
  130. \image html ex_loxim.gif
  131. */
  132. template <typename T, typename Parameters>
  133. struct loxim_spheroid : public detail::loxim::base_loxim_spheroid<T, Parameters>
  134. {
  135. inline loxim_spheroid(const Parameters& par) : detail::loxim::base_loxim_spheroid<T, Parameters>(par)
  136. {
  137. detail::loxim::setup_loxim(this->m_par, this->m_proj_parm);
  138. }
  139. };
  140. #ifndef DOXYGEN_NO_DETAIL
  141. namespace detail
  142. {
  143. // Static projection
  144. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::loxim, loxim_spheroid, loxim_spheroid)
  145. // Factory entry(s)
  146. template <typename T, typename Parameters>
  147. class loxim_entry : public detail::factory_entry<T, Parameters>
  148. {
  149. public :
  150. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  151. {
  152. return new base_v_fi<loxim_spheroid<T, Parameters>, T, Parameters>(par);
  153. }
  154. };
  155. template <typename T, typename Parameters>
  156. inline void loxim_init(detail::base_factory<T, Parameters>& factory)
  157. {
  158. factory.add_to_factory("loxim", new loxim_entry<T, Parameters>);
  159. }
  160. } // namespace detail
  161. #endif // doxygen
  162. } // namespace projections
  163. }} // namespace boost::geometry
  164. #endif // BOOST_GEOMETRY_PROJECTIONS_LOXIM_HPP