nell.hpp 6.1 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175
  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_NELL_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_NELL_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 srs { namespace par4
  40. {
  41. struct nell {}; // Nell
  42. }} //namespace srs::par4
  43. namespace projections
  44. {
  45. #ifndef DOXYGEN_NO_DETAIL
  46. namespace detail { namespace nell
  47. {
  48. static const int max_iter = 10;
  49. static const double loop_tol = 1e-7;
  50. // template class, using CRTP to implement forward/inverse
  51. template <typename T, typename Parameters>
  52. struct base_nell_spheroid
  53. : public base_t_fi<base_nell_spheroid<T, Parameters>, T, Parameters>
  54. {
  55. inline base_nell_spheroid(const Parameters& par)
  56. : base_t_fi<base_nell_spheroid<T, Parameters>, T, Parameters>(*this, par)
  57. {}
  58. // FORWARD(s_forward) spheroid
  59. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  60. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  61. {
  62. T k, V;
  63. int i;
  64. k = 2. * sin(lp_lat);
  65. V = lp_lat * lp_lat;
  66. lp_lat *= 1.00371 + V * (-0.0935382 + V * -0.011412);
  67. for (i = max_iter; i ; --i) {
  68. lp_lat -= V = (lp_lat + sin(lp_lat) - k) /
  69. (1. + cos(lp_lat));
  70. if (fabs(V) < loop_tol)
  71. break;
  72. }
  73. xy_x = 0.5 * lp_lon * (1. + cos(lp_lat));
  74. xy_y = lp_lat;
  75. }
  76. // INVERSE(s_inverse) spheroid
  77. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  78. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  79. {
  80. lp_lon = 2. * xy_x / (1. + cos(xy_y));
  81. lp_lat = aasin(0.5 * (xy_y + sin(xy_y)));
  82. }
  83. static inline std::string get_name()
  84. {
  85. return "nell_spheroid";
  86. }
  87. };
  88. // Nell
  89. template <typename Parameters>
  90. inline void setup_nell(Parameters& par)
  91. {
  92. par.es = 0;
  93. }
  94. }} // namespace detail::nell
  95. #endif // doxygen
  96. /*!
  97. \brief Nell projection
  98. \ingroup projections
  99. \tparam Geographic latlong point type
  100. \tparam Cartesian xy point type
  101. \tparam Parameters parameter type
  102. \par Projection characteristics
  103. - Pseudocylindrical
  104. - Spheroid
  105. \par Example
  106. \image html ex_nell.gif
  107. */
  108. template <typename T, typename Parameters>
  109. struct nell_spheroid : public detail::nell::base_nell_spheroid<T, Parameters>
  110. {
  111. inline nell_spheroid(const Parameters& par) : detail::nell::base_nell_spheroid<T, Parameters>(par)
  112. {
  113. detail::nell::setup_nell(this->m_par);
  114. }
  115. };
  116. #ifndef DOXYGEN_NO_DETAIL
  117. namespace detail
  118. {
  119. // Static projection
  120. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::nell, nell_spheroid, nell_spheroid)
  121. // Factory entry(s)
  122. template <typename T, typename Parameters>
  123. class nell_entry : public detail::factory_entry<T, Parameters>
  124. {
  125. public :
  126. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  127. {
  128. return new base_v_fi<nell_spheroid<T, Parameters>, T, Parameters>(par);
  129. }
  130. };
  131. template <typename T, typename Parameters>
  132. inline void nell_init(detail::base_factory<T, Parameters>& factory)
  133. {
  134. factory.add_to_factory("nell", new nell_entry<T, Parameters>);
  135. }
  136. } // namespace detail
  137. #endif // doxygen
  138. } // namespace projections
  139. }} // namespace boost::geometry
  140. #endif // BOOST_GEOMETRY_PROJECTIONS_NELL_HPP