putp6.hpp 7.8 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, 2019.
  4. // Modifications copyright (c) 2017-2019, 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_PUTP6_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_PUTP6_HPP
  32. #include <boost/geometry/srs/projections/impl/base_static.hpp>
  33. #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  34. #include <boost/geometry/srs/projections/impl/projects.hpp>
  35. #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  36. #include <boost/geometry/srs/projections/impl/aasincos.hpp>
  37. namespace boost { namespace geometry
  38. {
  39. namespace projections
  40. {
  41. #ifndef DOXYGEN_NO_DETAIL
  42. namespace detail { namespace putp6
  43. {
  44. static const double epsilon = 1e-10;
  45. static const int n_iter = 10;
  46. static const double CON_POLE = 1.732050807568877;
  47. template <typename T>
  48. struct par_putp6
  49. {
  50. T C_x, C_y, A, B, D;
  51. };
  52. template <typename T, typename Parameters>
  53. struct base_putp6_spheroid
  54. {
  55. par_putp6<T> m_proj_parm;
  56. // FORWARD(s_forward) spheroid
  57. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  58. inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  59. {
  60. T p, r, V;
  61. int i;
  62. p = this->m_proj_parm.B * sin(lp_lat);
  63. lp_lat *= 1.10265779;
  64. for (i = n_iter; i ; --i) {
  65. r = sqrt(1. + lp_lat * lp_lat);
  66. lp_lat -= V = ( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) - p ) /
  67. (this->m_proj_parm.A - 2. * r);
  68. if (fabs(V) < epsilon)
  69. break;
  70. }
  71. if (!i)
  72. lp_lat = p < 0. ? -CON_POLE : CON_POLE;
  73. xy_x = this->m_proj_parm.C_x * lp_lon * (this->m_proj_parm.D - sqrt(1. + lp_lat * lp_lat));
  74. xy_y = this->m_proj_parm.C_y * lp_lat;
  75. }
  76. // INVERSE(s_inverse) spheroid
  77. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  78. inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  79. {
  80. T r;
  81. lp_lat = xy_y / this->m_proj_parm.C_y;
  82. r = sqrt(1. + lp_lat * lp_lat);
  83. lp_lon = xy_x / (this->m_proj_parm.C_x * (this->m_proj_parm.D - r));
  84. lp_lat = aasin(( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) ) / this->m_proj_parm.B);
  85. }
  86. static inline std::string get_name()
  87. {
  88. return "putp6_spheroid";
  89. }
  90. };
  91. // Putnins P6
  92. template <typename Parameters, typename T>
  93. inline void setup_putp6(Parameters& par, par_putp6<T>& proj_parm)
  94. {
  95. proj_parm.C_x = 1.01346;
  96. proj_parm.C_y = 0.91910;
  97. proj_parm.A = 4.;
  98. proj_parm.B = 2.1471437182129378784;
  99. proj_parm.D = 2.;
  100. par.es = 0.;
  101. }
  102. // Putnins P6'
  103. template <typename Parameters, typename T>
  104. inline void setup_putp6p(Parameters& par, par_putp6<T>& proj_parm)
  105. {
  106. proj_parm.C_x = 0.44329;
  107. proj_parm.C_y = 0.80404;
  108. proj_parm.A = 6.;
  109. proj_parm.B = 5.61125;
  110. proj_parm.D = 3.;
  111. par.es = 0.;
  112. }
  113. }} // namespace detail::putp6
  114. #endif // doxygen
  115. /*!
  116. \brief Putnins P6 projection
  117. \ingroup projections
  118. \tparam Geographic latlong point type
  119. \tparam Cartesian xy point type
  120. \tparam Parameters parameter type
  121. \par Projection characteristics
  122. - Pseudocylindrical
  123. - Spheroid
  124. \par Example
  125. \image html ex_putp6.gif
  126. */
  127. template <typename T, typename Parameters>
  128. struct putp6_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
  129. {
  130. template <typename Params>
  131. inline putp6_spheroid(Params const& , Parameters & par)
  132. {
  133. detail::putp6::setup_putp6(par, this->m_proj_parm);
  134. }
  135. };
  136. /*!
  137. \brief Putnins P6' projection
  138. \ingroup projections
  139. \tparam Geographic latlong point type
  140. \tparam Cartesian xy point type
  141. \tparam Parameters parameter type
  142. \par Projection characteristics
  143. - Pseudocylindrical
  144. - Spheroid
  145. \par Example
  146. \image html ex_putp6p.gif
  147. */
  148. template <typename T, typename Parameters>
  149. struct putp6p_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
  150. {
  151. template <typename Params>
  152. inline putp6p_spheroid(Params const& , Parameters & par)
  153. {
  154. detail::putp6::setup_putp6p(par, this->m_proj_parm);
  155. }
  156. };
  157. #ifndef DOXYGEN_NO_DETAIL
  158. namespace detail
  159. {
  160. // Static projection
  161. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6, putp6_spheroid)
  162. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6p, putp6p_spheroid)
  163. // Factory entry(s)
  164. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6_entry, putp6_spheroid)
  165. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6p_entry, putp6p_spheroid)
  166. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(putp6_init)
  167. {
  168. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6, putp6_entry)
  169. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6p, putp6p_entry)
  170. }
  171. } // namespace detail
  172. #endif // doxygen
  173. } // namespace projections
  174. }} // namespace boost::geometry
  175. #endif // BOOST_GEOMETRY_PROJECTIONS_PUTP6_HPP