nell.hpp 5.4 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_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 projections
  40. {
  41. #ifndef DOXYGEN_NO_DETAIL
  42. namespace detail { namespace nell
  43. {
  44. static const int max_iter = 10;
  45. static const double loop_tol = 1e-7;
  46. template <typename T, typename Parameters>
  47. struct base_nell_spheroid
  48. {
  49. // FORWARD(s_forward) spheroid
  50. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  51. inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  52. {
  53. T k, V;
  54. int i;
  55. k = 2. * sin(lp_lat);
  56. V = lp_lat * lp_lat;
  57. lp_lat *= 1.00371 + V * (-0.0935382 + V * -0.011412);
  58. for (i = max_iter; i ; --i) {
  59. lp_lat -= V = (lp_lat + sin(lp_lat) - k) /
  60. (1. + cos(lp_lat));
  61. if (fabs(V) < loop_tol)
  62. break;
  63. }
  64. xy_x = 0.5 * lp_lon * (1. + cos(lp_lat));
  65. xy_y = lp_lat;
  66. }
  67. // INVERSE(s_inverse) spheroid
  68. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  69. inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  70. {
  71. lp_lon = 2. * xy_x / (1. + cos(xy_y));
  72. lp_lat = aasin(0.5 * (xy_y + sin(xy_y)));
  73. }
  74. static inline std::string get_name()
  75. {
  76. return "nell_spheroid";
  77. }
  78. };
  79. // Nell
  80. template <typename Parameters>
  81. inline void setup_nell(Parameters& par)
  82. {
  83. par.es = 0;
  84. }
  85. }} // namespace detail::nell
  86. #endif // doxygen
  87. /*!
  88. \brief Nell projection
  89. \ingroup projections
  90. \tparam Geographic latlong point type
  91. \tparam Cartesian xy point type
  92. \tparam Parameters parameter type
  93. \par Projection characteristics
  94. - Pseudocylindrical
  95. - Spheroid
  96. \par Example
  97. \image html ex_nell.gif
  98. */
  99. template <typename T, typename Parameters>
  100. struct nell_spheroid : public detail::nell::base_nell_spheroid<T, Parameters>
  101. {
  102. template <typename Params>
  103. inline nell_spheroid(Params const& , Parameters & par)
  104. {
  105. detail::nell::setup_nell(par);
  106. }
  107. };
  108. #ifndef DOXYGEN_NO_DETAIL
  109. namespace detail
  110. {
  111. // Static projection
  112. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_nell, nell_spheroid)
  113. // Factory entry(s)
  114. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nell_entry, nell_spheroid)
  115. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nell_init)
  116. {
  117. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nell, nell_entry)
  118. }
  119. } // namespace detail
  120. #endif // doxygen
  121. } // namespace projections
  122. }} // namespace boost::geometry
  123. #endif // BOOST_GEOMETRY_PROJECTIONS_NELL_HPP