boggs.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_BOGGS_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_BOGGS_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 boggs {};
  42. }} //namespace srs::par4
  43. namespace projections
  44. {
  45. #ifndef DOXYGEN_NO_DETAIL
  46. namespace detail { namespace boggs
  47. {
  48. static const int n_iter = 20;
  49. static const double epsilon = 1e-7;
  50. static const double FXC = 2.00276;
  51. static const double FXC2 = 1.11072;
  52. static const double FYC = 0.49931;
  53. // template class, using CRTP to implement forward/inverse
  54. template <typename T, typename Parameters>
  55. struct base_boggs_spheroid
  56. : public base_t_f<base_boggs_spheroid<T, Parameters>, T, Parameters>
  57. {
  58. inline base_boggs_spheroid(const Parameters& par)
  59. : base_t_f<base_boggs_spheroid<T, Parameters>, T, Parameters>(*this, par)
  60. {}
  61. // FORWARD(s_forward) spheroid
  62. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  63. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  64. {
  65. static const T half_pi = detail::half_pi<T>();
  66. static const T pi = detail::pi<T>();
  67. static const T root_two = boost::math::constants::root_two<T>();
  68. T theta, th1, c;
  69. int i;
  70. theta = lp_lat;
  71. if (fabs(fabs(lp_lat) - half_pi) < epsilon)
  72. xy_x = 0.;
  73. else {
  74. c = sin(theta) * pi;
  75. for (i = n_iter; i; --i) {
  76. theta -= th1 = (theta + sin(theta) - c) /
  77. (1. + cos(theta));
  78. if (fabs(th1) < epsilon) break;
  79. }
  80. theta *= 0.5;
  81. xy_x = FXC * lp_lon / (1. / cos(lp_lat) + FXC2 / cos(theta));
  82. }
  83. xy_y = FYC * (lp_lat + root_two * sin(theta));
  84. }
  85. static inline std::string get_name()
  86. {
  87. return "boggs_spheroid";
  88. }
  89. };
  90. // Boggs Eumorphic
  91. template <typename Parameters>
  92. inline void setup_boggs(Parameters& par)
  93. {
  94. par.es = 0.;
  95. }
  96. }} // namespace detail::boggs
  97. #endif // doxygen
  98. /*!
  99. \brief Boggs Eumorphic 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. - no inverse
  107. - Spheroid
  108. \par Example
  109. \image html ex_boggs.gif
  110. */
  111. template <typename T, typename Parameters>
  112. struct boggs_spheroid : public detail::boggs::base_boggs_spheroid<T, Parameters>
  113. {
  114. inline boggs_spheroid(const Parameters& par) : detail::boggs::base_boggs_spheroid<T, Parameters>(par)
  115. {
  116. detail::boggs::setup_boggs(this->m_par);
  117. }
  118. };
  119. #ifndef DOXYGEN_NO_DETAIL
  120. namespace detail
  121. {
  122. // Static projection
  123. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::boggs, boggs_spheroid, boggs_spheroid)
  124. // Factory entry(s)
  125. template <typename T, typename Parameters>
  126. class boggs_entry : public detail::factory_entry<T, Parameters>
  127. {
  128. public :
  129. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  130. {
  131. return new base_v_f<boggs_spheroid<T, Parameters>, T, Parameters>(par);
  132. }
  133. };
  134. template <typename T, typename Parameters>
  135. inline void boggs_init(detail::base_factory<T, Parameters>& factory)
  136. {
  137. factory.add_to_factory("boggs", new boggs_entry<T, Parameters>);
  138. }
  139. } // namespace detail
  140. #endif // doxygen
  141. } // namespace projections
  142. }} // namespace boost::geometry
  143. #endif // BOOST_GEOMETRY_PROJECTIONS_BOGGS_HPP