hammer.hpp 7.3 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_HAMMER_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_HAMMER_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. namespace boost { namespace geometry
  37. {
  38. namespace srs { namespace par4
  39. {
  40. struct hammer {}; // Hammer & Eckert-Greifendorff
  41. }} //namespace srs::par4
  42. namespace projections
  43. {
  44. #ifndef DOXYGEN_NO_DETAIL
  45. namespace detail { namespace hammer
  46. {
  47. static const double epsilon = 1.0e-10;
  48. template <typename T>
  49. struct par_hammer
  50. {
  51. T w;
  52. T m, rm;
  53. };
  54. // template class, using CRTP to implement forward/inverse
  55. template <typename T, typename Parameters>
  56. struct base_hammer_spheroid
  57. : public base_t_fi<base_hammer_spheroid<T, Parameters>, T, Parameters>
  58. {
  59. par_hammer<T> m_proj_parm;
  60. inline base_hammer_spheroid(const Parameters& par)
  61. : base_t_fi<base_hammer_spheroid<T, Parameters>, T, Parameters>(*this, par)
  62. {}
  63. // FORWARD(s_forward) spheroid
  64. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  65. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  66. {
  67. T cosphi, d;
  68. d = sqrt(2./(1. + (cosphi = cos(lp_lat)) * cos(lp_lon *= this->m_proj_parm.w)));
  69. xy_x = this->m_proj_parm.m * d * cosphi * sin(lp_lon);
  70. xy_y = this->m_proj_parm.rm * d * sin(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. T z;
  77. z = sqrt(1. - 0.25*this->m_proj_parm.w*this->m_proj_parm.w*xy_x*xy_x - 0.25*xy_y*xy_y);
  78. if (geometry::math::abs(2.*z*z-1.) < epsilon) {
  79. lp_lon = HUGE_VAL;
  80. lp_lat = HUGE_VAL;
  81. BOOST_THROW_EXCEPTION( projection_exception(error_lat_or_lon_exceed_limit) );
  82. } else {
  83. lp_lon = aatan2(this->m_proj_parm.w * xy_x * z,2. * z * z - 1)/this->m_proj_parm.w;
  84. lp_lat = aasin(z * xy_y);
  85. }
  86. }
  87. static inline std::string get_name()
  88. {
  89. return "hammer_spheroid";
  90. }
  91. };
  92. // Hammer & Eckert-Greifendorff
  93. template <typename Parameters, typename T>
  94. inline void setup_hammer(Parameters& par, par_hammer<T>& proj_parm)
  95. {
  96. T tmp;
  97. if (pj_param_f(par.params, "W", tmp)) {
  98. if ((proj_parm.w = fabs(tmp)) <= 0.)
  99. BOOST_THROW_EXCEPTION( projection_exception(error_w_or_m_zero_or_less) );
  100. } else
  101. proj_parm.w = .5;
  102. if (pj_param_f(par.params, "M", tmp)) {
  103. if ((proj_parm.m = fabs(tmp)) <= 0.)
  104. BOOST_THROW_EXCEPTION( projection_exception(error_w_or_m_zero_or_less) );
  105. } else
  106. proj_parm.m = 1.;
  107. proj_parm.rm = 1. / proj_parm.m;
  108. proj_parm.m /= proj_parm.w;
  109. par.es = 0.;
  110. }
  111. }} // namespace detail::hammer
  112. #endif // doxygen
  113. /*!
  114. \brief Hammer & Eckert-Greifendorff projection
  115. \ingroup projections
  116. \tparam Geographic latlong point type
  117. \tparam Cartesian xy point type
  118. \tparam Parameters parameter type
  119. \par Projection characteristics
  120. - Miscellaneous
  121. - Spheroid
  122. - no inverse
  123. \par Projection parameters
  124. - W (real)
  125. - M (real)
  126. \par Example
  127. \image html ex_hammer.gif
  128. */
  129. template <typename T, typename Parameters>
  130. struct hammer_spheroid : public detail::hammer::base_hammer_spheroid<T, Parameters>
  131. {
  132. inline hammer_spheroid(const Parameters& par) : detail::hammer::base_hammer_spheroid<T, Parameters>(par)
  133. {
  134. detail::hammer::setup_hammer(this->m_par, this->m_proj_parm);
  135. }
  136. };
  137. #ifndef DOXYGEN_NO_DETAIL
  138. namespace detail
  139. {
  140. // Static projection
  141. BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::hammer, hammer_spheroid, hammer_spheroid)
  142. // Factory entry(s)
  143. template <typename T, typename Parameters>
  144. class hammer_entry : public detail::factory_entry<T, Parameters>
  145. {
  146. public :
  147. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  148. {
  149. return new base_v_fi<hammer_spheroid<T, Parameters>, T, Parameters>(par);
  150. }
  151. };
  152. template <typename T, typename Parameters>
  153. inline void hammer_init(detail::base_factory<T, Parameters>& factory)
  154. {
  155. factory.add_to_factory("hammer", new hammer_entry<T, Parameters>);
  156. }
  157. } // namespace detail
  158. #endif // doxygen
  159. } // namespace projections
  160. }} // namespace boost::geometry
  161. #endif // BOOST_GEOMETRY_PROJECTIONS_HAMMER_HPP