nell_h.hpp 6.3 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_NELL_H_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_NELL_H_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 nell_h {}; // Nell-Hammer
  42. }} //namespace srs::par4
  43. namespace projections
  44. {
  45. #ifndef DOXYGEN_NO_DETAIL
  46. namespace detail { namespace nell_h
  47. {
  48. static const int n_iter = 9;
  49. static const double epsilon = 1e-7;
  50. // template class, using CRTP to implement forward/inverse
  51. template <typename T, typename Parameters>
  52. struct base_nell_h_spheroid
  53. : public base_t_fi<base_nell_h_spheroid<T, Parameters>, T, Parameters>
  54. {
  55. inline base_nell_h_spheroid(const Parameters& par)
  56. : base_t_fi<base_nell_h_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. xy_x = 0.5 * lp_lon * (1. + cos(lp_lat));
  63. xy_y = 2.0 * (lp_lat - tan(0.5 *lp_lat));
  64. }
  65. // INVERSE(s_inverse) spheroid
  66. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  67. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  68. {
  69. static const T half_pi = detail::half_pi<T>();
  70. T V, c, p;
  71. int i;
  72. p = 0.5 * xy_y;
  73. for (i = n_iter; i ; --i) {
  74. c = cos(0.5 * lp_lat);
  75. lp_lat -= V = (lp_lat - tan(lp_lat/2) - p)/(1. - 0.5/(c*c));
  76. if (fabs(V) < epsilon)
  77. break;
  78. }
  79. if (!i) {
  80. lp_lat = p < 0. ? -half_pi : half_pi;
  81. lp_lon = 2. * xy_x;
  82. } else
  83. lp_lon = 2. * xy_x / (1. + cos(lp_lat));
  84. }
  85. static inline std::string get_name()
  86. {
  87. return "nell_h_spheroid";
  88. }
  89. };
  90. // Nell-Hammer
  91. template <typename Parameters>
  92. inline void setup_nell_h(Parameters& par)
  93. {
  94. par.es = 0.;
  95. }
  96. }} // namespace detail::nell_h
  97. #endif // doxygen
  98. /*!
  99. \brief Nell-Hammer projection
  100. \ingroup projections
  101. \tparam Geographic latlong point type
  102. \tparam Cartesian xy point type
  103. \tparam Parameters parameter type
  104. \par Projection characteristics
  105. - Pseudocylindrical
  106. - Spheroid
  107. \par Example
  108. \image html ex_nell_h.gif
  109. */
  110. template <typename T, typename Parameters>
  111. struct nell_h_spheroid : public detail::nell_h::base_nell_h_spheroid<T, Parameters>
  112. {
  113. inline nell_h_spheroid(const Parameters& par) : detail::nell_h::base_nell_h_spheroid<T, Parameters>(par)
  114. {
  115. detail::nell_h::setup_nell_h(this->m_par);
  116. }
  117. };
  118. #ifndef DOXYGEN_NO_DETAIL
  119. namespace detail
  120. {
  121. // Static projection
  122. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::nell_h, nell_h_spheroid, nell_h_spheroid)
  123. // Factory entry(s)
  124. template <typename T, typename Parameters>
  125. class nell_h_entry : public detail::factory_entry<T, Parameters>
  126. {
  127. public :
  128. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  129. {
  130. return new base_v_fi<nell_h_spheroid<T, Parameters>, T, Parameters>(par);
  131. }
  132. };
  133. template <typename T, typename Parameters>
  134. inline void nell_h_init(detail::base_factory<T, Parameters>& factory)
  135. {
  136. factory.add_to_factory("nell_h", new nell_h_entry<T, Parameters>);
  137. }
  138. } // namespace detail
  139. #endif // doxygen
  140. } // namespace projections
  141. }} // namespace boost::geometry
  142. #endif // BOOST_GEOMETRY_PROJECTIONS_NELL_H_HPP