mbtfpp.hpp 6.9 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_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 class, using CRTP to implement forward/inverse
  51. template <typename T, typename Parameters>
  52. struct base_mbtfpp_spheroid
  53. : public base_t_fi<base_mbtfpp_spheroid<T, Parameters>, T, Parameters>
  54. {
  55. inline base_mbtfpp_spheroid(const Parameters& par)
  56. : base_t_fi<base_mbtfpp_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 C23 = detail::two_thirds<T>();
  63. static const T C13 = detail::third<T>();
  64. lp_lat = asin(CS_ * sin(lp_lat));
  65. xy_x = FXC * lp_lon * (2. * cos(C23 * lp_lat) - 1.);
  66. xy_y = FYC * sin(C13 * lp_lat);
  67. }
  68. // INVERSE(s_inverse) spheroid
  69. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  70. inline void inv(T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  71. {
  72. static const T half_pi = detail::half_pi<T>();
  73. static const T C23 = detail::two_thirds<T>();
  74. lp_lat = xy_y / FYC;
  75. if (fabs(lp_lat) >= 1.) {
  76. if (fabs(lp_lat) > one_plus_eps) {
  77. BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  78. } else {
  79. lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
  80. }
  81. } else
  82. lp_lat = asin(lp_lat);
  83. lp_lon = xy_x / ( FXC * (2. * cos(C23 * (lp_lat *= 3.)) - 1.) );
  84. if (fabs(lp_lat = sin(lp_lat) / CS_) >= 1.) {
  85. if (fabs(lp_lat) > one_plus_eps) {
  86. BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  87. } else {
  88. lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
  89. }
  90. } else
  91. lp_lat = asin(lp_lat);
  92. }
  93. static inline std::string get_name()
  94. {
  95. return "mbtfpp_spheroid";
  96. }
  97. };
  98. // McBride-Thomas Flat-Polar Parabolic
  99. template <typename Parameters>
  100. inline void setup_mbtfpp(Parameters& par)
  101. {
  102. par.es = 0.;
  103. }
  104. }} // namespace detail::mbtfpp
  105. #endif // doxygen
  106. /*!
  107. \brief McBride-Thomas Flat-Polar Parabolic projection
  108. \ingroup projections
  109. \tparam Geographic latlong point type
  110. \tparam Cartesian xy point type
  111. \tparam Parameters parameter type
  112. \par Projection characteristics
  113. - Cylindrical
  114. - Spheroid
  115. \par Example
  116. \image html ex_mbtfpp.gif
  117. */
  118. template <typename T, typename Parameters>
  119. struct mbtfpp_spheroid : public detail::mbtfpp::base_mbtfpp_spheroid<T, Parameters>
  120. {
  121. template <typename Params>
  122. inline mbtfpp_spheroid(Params const& , Parameters const& par)
  123. : detail::mbtfpp::base_mbtfpp_spheroid<T, Parameters>(par)
  124. {
  125. detail::mbtfpp::setup_mbtfpp(this->m_par);
  126. }
  127. };
  128. #ifndef DOXYGEN_NO_DETAIL
  129. namespace detail
  130. {
  131. // Static projection
  132. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_mbtfpp, mbtfpp_spheroid, mbtfpp_spheroid)
  133. // Factory entry(s)
  134. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpp_entry, mbtfpp_spheroid)
  135. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpp_init)
  136. {
  137. BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpp, mbtfpp_entry)
  138. }
  139. } // namespace detail
  140. #endif // doxygen
  141. } // namespace projections
  142. }} // namespace boost::geometry
  143. #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPP_HPP