august.hpp 5.3 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_AUGUST_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_AUGUST_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. namespace boost { namespace geometry
  37. {
  38. namespace projections
  39. {
  40. #ifndef DOXYGEN_NO_DETAIL
  41. namespace detail { namespace august
  42. {
  43. //static const double M = 1.333333333333333;
  44. // template class, using CRTP to implement forward/inverse
  45. template <typename T, typename Parameters>
  46. struct base_august_spheroid
  47. : public base_t_f<base_august_spheroid<T, Parameters>, T, Parameters>
  48. {
  49. inline base_august_spheroid(const Parameters& par)
  50. : base_t_f<base_august_spheroid<T, Parameters>, T, Parameters>(*this, par)
  51. {}
  52. // FORWARD(s_forward) spheroid
  53. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  54. inline void fwd(T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  55. {
  56. static const T M = 1.333333333333333333333333333333333333;
  57. T t, c1, c, x1, x12, y1, y12;
  58. t = tan(.5 * lp_lat);
  59. c1 = sqrt(1. - t * t);
  60. c = 1. + c1 * cos(lp_lon *= .5);
  61. x1 = sin(lp_lon) * c1 / c;
  62. y1 = t / c;
  63. xy_x = M * x1 * (3. + (x12 = x1 * x1) - 3. * (y12 = y1 * y1));
  64. xy_y = M * y1 * (3. + 3. * x12 - y12);
  65. }
  66. static inline std::string get_name()
  67. {
  68. return "august_spheroid";
  69. }
  70. };
  71. // August Epicycloidal
  72. template <typename Parameters>
  73. inline void setup_august(Parameters& par)
  74. {
  75. par.es = 0.;
  76. }
  77. }} // namespace detail::august
  78. #endif // doxygen
  79. /*!
  80. \brief August Epicycloidal projection
  81. \ingroup projections
  82. \tparam Geographic latlong point type
  83. \tparam Cartesian xy point type
  84. \tparam Parameters parameter type
  85. \par Projection characteristics
  86. - Miscellaneous
  87. - Spheroid
  88. - no inverse
  89. \par Example
  90. \image html ex_august.gif
  91. */
  92. template <typename T, typename Parameters>
  93. struct august_spheroid : public detail::august::base_august_spheroid<T, Parameters>
  94. {
  95. template <typename Params>
  96. inline august_spheroid(Params const& , Parameters const& par)
  97. : detail::august::base_august_spheroid<T, Parameters>(par)
  98. {
  99. detail::august::setup_august(this->m_par);
  100. }
  101. };
  102. #ifndef DOXYGEN_NO_DETAIL
  103. namespace detail
  104. {
  105. // Static projection
  106. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_august, august_spheroid, august_spheroid)
  107. // Factory entry(s)
  108. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(august_entry, august_spheroid)
  109. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(august_init)
  110. {
  111. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(august, august_entry)
  112. }
  113. } // namespace detail
  114. #endif // doxygen
  115. } // namespace projections
  116. }} // namespace boost::geometry
  117. #endif // BOOST_GEOMETRY_PROJECTIONS_AUGUST_HPP