mbtfpp.hpp 7.2 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 srs { namespace par4
  40. {
  41. struct mbtfpp {}; // McBride-Thomas Flat-Polar Parabolic
  42. }} //namespace srs::par4
  43. namespace projections
  44. {
  45. #ifndef DOXYGEN_NO_DETAIL
  46. namespace detail { namespace mbtfpp
  47. {
  48. static const double CS_ = .95257934441568037152;
  49. static const double FXC = .92582009977255146156;
  50. static const double FYC = 3.40168025708304504493;
  51. //static const double C23 = .66666666666666666666;
  52. //static const double C13 = .33333333333333333333;
  53. static const double one_plus_eps = 1.0000001;
  54. // template class, using CRTP to implement forward/inverse
  55. template <typename T, typename Parameters>
  56. struct base_mbtfpp_spheroid
  57. : public base_t_fi<base_mbtfpp_spheroid<T, Parameters>, T, Parameters>
  58. {
  59. inline base_mbtfpp_spheroid(const Parameters& par)
  60. : base_t_fi<base_mbtfpp_spheroid<T, Parameters>, T, Parameters>(*this, par)
  61. {}
  62. // FORWARD(s_forward) spheroid
  63. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  64. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  65. {
  66. static const T C23 = detail::two_thirds<T>();
  67. static const T C13 = detail::third<T>();
  68. lp_lat = asin(CS_ * sin(lp_lat));
  69. xy_x = FXC * lp_lon * (2. * cos(C23 * lp_lat) - 1.);
  70. xy_y = FYC * sin(C13 * lp_lat);
  71. }
  72. // INVERSE(s_inverse) spheroid
  73. // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  74. inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
  75. {
  76. static const T half_pi = detail::half_pi<T>();
  77. static const T C23 = detail::two_thirds<T>();
  78. lp_lat = xy_y / FYC;
  79. if (fabs(lp_lat) >= 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. lp_lon = xy_x / ( FXC * (2. * cos(C23 * (lp_lat *= 3.)) - 1.) );
  88. if (fabs(lp_lat = sin(lp_lat) / CS_) >= 1.) {
  89. if (fabs(lp_lat) > one_plus_eps) {
  90. BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  91. } else {
  92. lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
  93. }
  94. } else
  95. lp_lat = asin(lp_lat);
  96. }
  97. static inline std::string get_name()
  98. {
  99. return "mbtfpp_spheroid";
  100. }
  101. };
  102. // McBride-Thomas Flat-Polar Parabolic
  103. template <typename Parameters>
  104. inline void setup_mbtfpp(Parameters& par)
  105. {
  106. par.es = 0.;
  107. }
  108. }} // namespace detail::mbtfpp
  109. #endif // doxygen
  110. /*!
  111. \brief McBride-Thomas Flat-Polar Parabolic projection
  112. \ingroup projections
  113. \tparam Geographic latlong point type
  114. \tparam Cartesian xy point type
  115. \tparam Parameters parameter type
  116. \par Projection characteristics
  117. - Cylindrical
  118. - Spheroid
  119. \par Example
  120. \image html ex_mbtfpp.gif
  121. */
  122. template <typename T, typename Parameters>
  123. struct mbtfpp_spheroid : public detail::mbtfpp::base_mbtfpp_spheroid<T, Parameters>
  124. {
  125. inline mbtfpp_spheroid(const Parameters& par) : detail::mbtfpp::base_mbtfpp_spheroid<T, Parameters>(par)
  126. {
  127. detail::mbtfpp::setup_mbtfpp(this->m_par);
  128. }
  129. };
  130. #ifndef DOXYGEN_NO_DETAIL
  131. namespace detail
  132. {
  133. // Static projection
  134. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::mbtfpp, mbtfpp_spheroid, mbtfpp_spheroid)
  135. // Factory entry(s)
  136. template <typename T, typename Parameters>
  137. class mbtfpp_entry : public detail::factory_entry<T, Parameters>
  138. {
  139. public :
  140. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  141. {
  142. return new base_v_fi<mbtfpp_spheroid<T, Parameters>, T, Parameters>(par);
  143. }
  144. };
  145. template <typename T, typename Parameters>
  146. inline void mbtfpp_init(detail::base_factory<T, Parameters>& factory)
  147. {
  148. factory.add_to_factory("mbtfpp", new mbtfpp_entry<T, Parameters>);
  149. }
  150. } // namespace detail
  151. #endif // doxygen
  152. } // namespace projections
  153. }} // namespace boost::geometry
  154. #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPP_HPP