putp2.hpp 6.4 KB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176
  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_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 class, using CRTP to implement forward/inverse
  51. template <typename T, typename Parameters>
  52. struct base_putp2_spheroid
  53. : public base_t_fi<base_putp2_spheroid<T, Parameters>, T, Parameters>
  54. {
  55. inline base_putp2_spheroid(const Parameters& par)
  56. : base_t_fi<base_putp2_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 const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  61. {
  62. static const T third_pi = detail::third_pi<T>();
  63. T p, c, s, V;
  64. int i;
  65. p = C_p * sin(lp_lat);
  66. s = lp_lat * lp_lat;
  67. lp_lat *= 0.615709 + s * ( 0.00909953 + s * 0.0046292 );
  68. for (i = n_iter; i ; --i) {
  69. c = cos(lp_lat);
  70. s = sin(lp_lat);
  71. lp_lat -= V = (lp_lat + s * (c - 1.) - p) /
  72. (1. + c * (c - 1.) - s * s);
  73. if (fabs(V) < epsilon)
  74. break;
  75. }
  76. if (!i)
  77. lp_lat = lp_lat < 0 ? - third_pi : third_pi;
  78. xy_x = C_x * lp_lon * (cos(lp_lat) - 0.5);
  79. xy_y = C_y * sin(lp_lat);
  80. }
  81. // INVERSE(s_inverse) spheroid
  82. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  83. inline void inv(T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  84. {
  85. T c;
  86. lp_lat = aasin(xy_y / C_y);
  87. lp_lon = xy_x / (C_x * ((c = cos(lp_lat)) - 0.5));
  88. lp_lat = aasin((lp_lat + sin(lp_lat) * (c - 1.)) / C_p);
  89. }
  90. static inline std::string get_name()
  91. {
  92. return "putp2_spheroid";
  93. }
  94. };
  95. // Putnins P2
  96. template <typename Parameters>
  97. inline void setup_putp2(Parameters& par)
  98. {
  99. par.es = 0.;
  100. }
  101. }} // namespace detail::putp2
  102. #endif // doxygen
  103. /*!
  104. \brief Putnins P2 projection
  105. \ingroup projections
  106. \tparam Geographic latlong point type
  107. \tparam Cartesian xy point type
  108. \tparam Parameters parameter type
  109. \par Projection characteristics
  110. - Pseudocylindrical
  111. - Spheroid
  112. \par Example
  113. \image html ex_putp2.gif
  114. */
  115. template <typename T, typename Parameters>
  116. struct putp2_spheroid : public detail::putp2::base_putp2_spheroid<T, Parameters>
  117. {
  118. template <typename Params>
  119. inline putp2_spheroid(Params const& , Parameters const& par)
  120. : detail::putp2::base_putp2_spheroid<T, Parameters>(par)
  121. {
  122. detail::putp2::setup_putp2(this->m_par);
  123. }
  124. };
  125. #ifndef DOXYGEN_NO_DETAIL
  126. namespace detail
  127. {
  128. // Static projection
  129. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_putp2, putp2_spheroid, putp2_spheroid)
  130. // Factory entry(s)
  131. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp2_entry, putp2_spheroid)
  132. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(putp2_init)
  133. {
  134. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp2, putp2_entry)
  135. }
  136. } // namespace detail
  137. #endif // doxygen
  138. } // namespace projections
  139. }} // namespace boost::geometry
  140. #endif // BOOST_GEOMETRY_PROJECTIONS_PUTP2_HPP