putp2.hpp 6.0 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_PUTP2_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_PUTP2_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 putp2
  43. {
  44. static const double C_x = 1.89490;
  45. static const double C_y = 1.71848;
  46. static const double C_p = 0.6141848493043784;
  47. static const double epsilon = 1e-10;
  48. static const int n_iter = 10;
  49. //static const double third_pi = 1.0471975511965977;
  50. template <typename T, typename Parameters>
  51. struct base_putp2_spheroid
  52. {
  53. // FORWARD(s_forward) spheroid
  54. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  55. inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  56. {
  57. static const T third_pi = detail::third_pi<T>();
  58. T p, c, s, V;
  59. int i;
  60. p = C_p * sin(lp_lat);
  61. s = lp_lat * lp_lat;
  62. lp_lat *= 0.615709 + s * ( 0.00909953 + s * 0.0046292 );
  63. for (i = n_iter; i ; --i) {
  64. c = cos(lp_lat);
  65. s = sin(lp_lat);
  66. lp_lat -= V = (lp_lat + s * (c - 1.) - p) /
  67. (1. + c * (c - 1.) - s * s);
  68. if (fabs(V) < epsilon)
  69. break;
  70. }
  71. if (!i)
  72. lp_lat = lp_lat < 0 ? - third_pi : third_pi;
  73. xy_x = C_x * lp_lon * (cos(lp_lat) - 0.5);
  74. xy_y = C_y * sin(lp_lat);
  75. }
  76. // INVERSE(s_inverse) spheroid
  77. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  78. inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  79. {
  80. T c;
  81. lp_lat = aasin(xy_y / C_y);
  82. lp_lon = xy_x / (C_x * ((c = cos(lp_lat)) - 0.5));
  83. lp_lat = aasin((lp_lat + sin(lp_lat) * (c - 1.)) / C_p);
  84. }
  85. static inline std::string get_name()
  86. {
  87. return "putp2_spheroid";
  88. }
  89. };
  90. // Putnins P2
  91. template <typename Parameters>
  92. inline void setup_putp2(Parameters& par)
  93. {
  94. par.es = 0.;
  95. }
  96. }} // namespace detail::putp2
  97. #endif // doxygen
  98. /*!
  99. \brief Putnins P2 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_putp2.gif
  109. */
  110. template <typename T, typename Parameters>
  111. struct putp2_spheroid : public detail::putp2::base_putp2_spheroid<T, Parameters>
  112. {
  113. template <typename Params>
  114. inline putp2_spheroid(Params const& , Parameters & par)
  115. {
  116. detail::putp2::setup_putp2(par);
  117. }
  118. };
  119. #ifndef DOXYGEN_NO_DETAIL
  120. namespace detail
  121. {
  122. // Static projection
  123. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp2, putp2_spheroid)
  124. // Factory entry(s)
  125. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp2_entry, putp2_spheroid)
  126. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(putp2_init)
  127. {
  128. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp2, putp2_entry)
  129. }
  130. } // namespace detail
  131. #endif // doxygen
  132. } // namespace projections
  133. }} // namespace boost::geometry
  134. #endif // BOOST_GEOMETRY_PROJECTIONS_PUTP2_HPP