sterea.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. // Copyright (c) 2003 Gerald I. Evenden
  16. // Permission is hereby granted, free of charge, to any person obtaining a
  17. // copy of this software and associated documentation files (the "Software"),
  18. // to deal in the Software without restriction, including without limitation
  19. // the rights to use, copy, modify, merge, publish, distribute, sublicense,
  20. // and/or sell copies of the Software, and to permit persons to whom the
  21. // Software is furnished to do so, subject to the following conditions:
  22. // The above copyright notice and this permission notice shall be included
  23. // in all copies or substantial portions of the Software.
  24. // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
  25. // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  26. // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  27. // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  28. // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
  29. // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
  30. // DEALINGS IN THE SOFTWARE.
  31. #ifndef BOOST_GEOMETRY_PROJECTIONS_STEREA_HPP
  32. #define BOOST_GEOMETRY_PROJECTIONS_STEREA_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_gauss.hpp>
  39. namespace boost { namespace geometry
  40. {
  41. namespace srs { namespace par4
  42. {
  43. struct sterea {}; // Oblique Stereographic Alternative
  44. }} //namespace srs::par4
  45. namespace projections
  46. {
  47. #ifndef DOXYGEN_NO_DETAIL
  48. namespace detail { namespace sterea
  49. {
  50. template <typename T>
  51. struct par_sterea
  52. {
  53. T phic0;
  54. T cosc0, sinc0;
  55. T R2;
  56. gauss<T> en;
  57. };
  58. // template class, using CRTP to implement forward/inverse
  59. template <typename T, typename Parameters>
  60. struct base_sterea_ellipsoid
  61. : public base_t_fi<base_sterea_ellipsoid<T, Parameters>, T, Parameters>
  62. {
  63. par_sterea<T> m_proj_parm;
  64. inline base_sterea_ellipsoid(const Parameters& par)
  65. : base_t_fi<base_sterea_ellipsoid<T, Parameters>, T, Parameters>(*this, par)
  66. {}
  67. // FORWARD(e_forward) ellipsoid
  68. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  69. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  70. {
  71. T cosc, sinc, cosl_, k;
  72. detail::gauss_fwd(m_proj_parm.en, lp_lon, lp_lat);
  73. sinc = sin(lp_lat);
  74. cosc = cos(lp_lat);
  75. cosl_ = cos(lp_lon);
  76. k = this->m_par.k0 * this->m_proj_parm.R2 / (1. + this->m_proj_parm.sinc0 * sinc + this->m_proj_parm.cosc0 * cosc * cosl_);
  77. xy_x = k * cosc * sin(lp_lon);
  78. xy_y = k * (this->m_proj_parm.cosc0 * sinc - this->m_proj_parm.sinc0 * cosc * cosl_);
  79. }
  80. // INVERSE(e_inverse) ellipsoid
  81. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  82. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  83. {
  84. T rho, c, sinc, cosc;
  85. xy_x /= this->m_par.k0;
  86. xy_y /= this->m_par.k0;
  87. if((rho = boost::math::hypot(xy_x, xy_y)) != 0.0) {
  88. c = 2. * atan2(rho, this->m_proj_parm.R2);
  89. sinc = sin(c);
  90. cosc = cos(c);
  91. lp_lat = asin(cosc * this->m_proj_parm.sinc0 + xy_y * sinc * this->m_proj_parm.cosc0 / rho);
  92. lp_lon = atan2(xy_x * sinc, rho * this->m_proj_parm.cosc0 * cosc -
  93. xy_y * this->m_proj_parm.sinc0 * sinc);
  94. } else {
  95. lp_lat = this->m_proj_parm.phic0;
  96. lp_lon = 0.;
  97. }
  98. detail::gauss_inv(m_proj_parm.en, lp_lon, lp_lat);
  99. }
  100. static inline std::string get_name()
  101. {
  102. return "sterea_ellipsoid";
  103. }
  104. };
  105. // Oblique Stereographic Alternative
  106. template <typename Parameters, typename T>
  107. inline void setup_sterea(Parameters& par, par_sterea<T>& proj_parm)
  108. {
  109. T R;
  110. proj_parm.en = detail::gauss_ini(par.e, par.phi0, proj_parm.phic0, R);
  111. proj_parm.sinc0 = sin(proj_parm.phic0);
  112. proj_parm.cosc0 = cos(proj_parm.phic0);
  113. proj_parm.R2 = 2. * R;
  114. }
  115. }} // namespace detail::sterea
  116. #endif // doxygen
  117. /*!
  118. \brief Oblique Stereographic Alternative projection
  119. \ingroup projections
  120. \tparam Geographic latlong point type
  121. \tparam Cartesian xy point type
  122. \tparam Parameters parameter type
  123. \par Projection characteristics
  124. - Azimuthal
  125. - Spheroid
  126. - Ellipsoid
  127. \par Example
  128. \image html ex_sterea.gif
  129. */
  130. template <typename T, typename Parameters>
  131. struct sterea_ellipsoid : public detail::sterea::base_sterea_ellipsoid<T, Parameters>
  132. {
  133. inline sterea_ellipsoid(const Parameters& par) : detail::sterea::base_sterea_ellipsoid<T, Parameters>(par)
  134. {
  135. detail::sterea::setup_sterea(this->m_par, this->m_proj_parm);
  136. }
  137. };
  138. #ifndef DOXYGEN_NO_DETAIL
  139. namespace detail
  140. {
  141. // Static projection
  142. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::sterea, sterea_ellipsoid, sterea_ellipsoid)
  143. // Factory entry(s)
  144. template <typename T, typename Parameters>
  145. class sterea_entry : public detail::factory_entry<T, Parameters>
  146. {
  147. public :
  148. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  149. {
  150. return new base_v_fi<sterea_ellipsoid<T, Parameters>, T, Parameters>(par);
  151. }
  152. };
  153. template <typename T, typename Parameters>
  154. inline void sterea_init(detail::base_factory<T, Parameters>& factory)
  155. {
  156. factory.add_to_factory("sterea", new sterea_entry<T, Parameters>);
  157. }
  158. } // namespace detail
  159. #endif // doxygen
  160. } // namespace projections
  161. }} // namespace boost::geometry
  162. #endif // BOOST_GEOMETRY_PROJECTIONS_STEREA_HPP