eck2.hpp 6.5 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_ECK2_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_ECK2_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 eck2 {};
  42. }} //namespace srs::par4
  43. namespace projections
  44. {
  45. #ifndef DOXYGEN_NO_DETAIL
  46. namespace detail { namespace eck2
  47. {
  48. static const double FXC = 0.46065886596178063902;
  49. static const double FYC = 1.44720250911653531871;
  50. //static const double C13 = 0.33333333333333333333;
  51. static const double one_plus_eps = 1.0000001;
  52. // template class, using CRTP to implement forward/inverse
  53. template <typename T, typename Parameters>
  54. struct base_eck2_spheroid
  55. : public base_t_fi<base_eck2_spheroid<T, Parameters>, T, Parameters>
  56. {
  57. inline base_eck2_spheroid(const Parameters& par)
  58. : base_t_fi<base_eck2_spheroid<T, Parameters>, T, Parameters>(*this, par)
  59. {}
  60. // FORWARD(s_forward) spheroid
  61. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  62. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  63. {
  64. xy_x = FXC * lp_lon * (xy_y = sqrt(4. - 3. * sin(fabs(lp_lat))));
  65. xy_y = FYC * (2. - xy_y);
  66. if ( lp_lat < 0.) xy_y = -xy_y;
  67. }
  68. // INVERSE(s_inverse) spheroid
  69. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  70. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  71. {
  72. static const T half_pi = detail::half_pi<T>();
  73. static const T C13 = detail::third<T>();
  74. lp_lon = xy_x / (FXC * ( lp_lat = 2. - fabs(xy_y) / FYC) );
  75. lp_lat = (4. - lp_lat * lp_lat) * C13;
  76. if (fabs(lp_lat) >= 1.) {
  77. if (fabs(lp_lat) > one_plus_eps)
  78. BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  79. else
  80. lp_lat = lp_lat < 0. ? -half_pi : half_pi;
  81. } else
  82. lp_lat = asin(lp_lat);
  83. if (xy_y < 0)
  84. lp_lat = -lp_lat;
  85. }
  86. static inline std::string get_name()
  87. {
  88. return "eck2_spheroid";
  89. }
  90. };
  91. // Eckert II
  92. template <typename Parameters>
  93. inline void setup_eck2(Parameters& par)
  94. {
  95. par.es = 0.;
  96. }
  97. }} // namespace detail::eck2
  98. #endif // doxygen
  99. /*!
  100. \brief Eckert II projection
  101. \ingroup projections
  102. \tparam Geographic latlong point type
  103. \tparam Cartesian xy point type
  104. \tparam Parameters parameter type
  105. \par Projection characteristics
  106. - Pseudocylindrical
  107. - Spheroid
  108. \par Example
  109. \image html ex_eck2.gif
  110. */
  111. template <typename T, typename Parameters>
  112. struct eck2_spheroid : public detail::eck2::base_eck2_spheroid<T, Parameters>
  113. {
  114. inline eck2_spheroid(const Parameters& par) : detail::eck2::base_eck2_spheroid<T, Parameters>(par)
  115. {
  116. detail::eck2::setup_eck2(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::eck2, eck2_spheroid, eck2_spheroid)
  124. // Factory entry(s)
  125. template <typename T, typename Parameters>
  126. class eck2_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_fi<eck2_spheroid<T, Parameters>, T, Parameters>(par);
  132. }
  133. };
  134. template <typename T, typename Parameters>
  135. inline void eck2_init(detail::base_factory<T, Parameters>& factory)
  136. {
  137. factory.add_to_factory("eck2", new eck2_entry<T, Parameters>);
  138. }
  139. } // namespace detail
  140. #endif // doxygen
  141. } // namespace projections
  142. }} // namespace boost::geometry
  143. #endif // BOOST_GEOMETRY_PROJECTIONS_ECK2_HPP