mbtfpp.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, 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_MBTFPP_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_MBTFPP_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 projections
  40. {
  41. #ifndef DOXYGEN_NO_DETAIL
  42. namespace detail { namespace mbtfpp
  43. {
  44. static const double CS_ = .95257934441568037152;
  45. static const double FXC = .92582009977255146156;
  46. static const double FYC = 3.40168025708304504493;
  47. //static const double C23 = .66666666666666666666;
  48. //static const double C13 = .33333333333333333333;
  49. static const double one_plus_eps = 1.0000001;
  50. template <typename T, typename Parameters>
  51. struct base_mbtfpp_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 C23 = detail::two_thirds<T>();
  58. static const T C13 = detail::third<T>();
  59. lp_lat = asin(CS_ * sin(lp_lat));
  60. xy_x = FXC * lp_lon * (2. * cos(C23 * lp_lat) - 1.);
  61. xy_y = FYC * sin(C13 * lp_lat);
  62. }
  63. // INVERSE(s_inverse) spheroid
  64. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  65. inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  66. {
  67. static const T half_pi = detail::half_pi<T>();
  68. static const T C23 = detail::two_thirds<T>();
  69. lp_lat = xy_y / FYC;
  70. if (fabs(lp_lat) >= 1.) {
  71. if (fabs(lp_lat) > one_plus_eps) {
  72. BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  73. } else {
  74. lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
  75. }
  76. } else
  77. lp_lat = asin(lp_lat);
  78. lp_lon = xy_x / ( FXC * (2. * cos(C23 * (lp_lat *= 3.)) - 1.) );
  79. if (fabs(lp_lat = sin(lp_lat) / CS_) >= 1.) {
  80. if (fabs(lp_lat) > one_plus_eps) {
  81. BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  82. } else {
  83. lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
  84. }
  85. } else
  86. lp_lat = asin(lp_lat);
  87. }
  88. static inline std::string get_name()
  89. {
  90. return "mbtfpp_spheroid";
  91. }
  92. };
  93. // McBride-Thomas Flat-Polar Parabolic
  94. template <typename Parameters>
  95. inline void setup_mbtfpp(Parameters& par)
  96. {
  97. par.es = 0.;
  98. }
  99. }} // namespace detail::mbtfpp
  100. #endif // doxygen
  101. /*!
  102. \brief McBride-Thomas Flat-Polar Parabolic projection
  103. \ingroup projections
  104. \tparam Geographic latlong point type
  105. \tparam Cartesian xy point type
  106. \tparam Parameters parameter type
  107. \par Projection characteristics
  108. - Cylindrical
  109. - Spheroid
  110. \par Example
  111. \image html ex_mbtfpp.gif
  112. */
  113. template <typename T, typename Parameters>
  114. struct mbtfpp_spheroid : public detail::mbtfpp::base_mbtfpp_spheroid<T, Parameters>
  115. {
  116. template <typename Params>
  117. inline mbtfpp_spheroid(Params const& , Parameters & par)
  118. {
  119. detail::mbtfpp::setup_mbtfpp(par);
  120. }
  121. };
  122. #ifndef DOXYGEN_NO_DETAIL
  123. namespace detail
  124. {
  125. // Static projection
  126. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpp, mbtfpp_spheroid)
  127. // Factory entry(s)
  128. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpp_entry, mbtfpp_spheroid)
  129. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpp_init)
  130. {
  131. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpp, mbtfpp_entry)
  132. }
  133. } // namespace detail
  134. #endif // doxygen
  135. } // namespace projections
  136. }} // namespace boost::geometry
  137. #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPP_HPP