nocol.hpp 6.7 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_NOCOL_HPP
  31. #define BOOST_GEOMETRY_PROJECTIONS_NOCOL_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 nicol {}; // Nicolosi Globular
  42. }} //namespace srs::par4
  43. namespace projections
  44. {
  45. #ifndef DOXYGEN_NO_DETAIL
  46. namespace detail { namespace nocol
  47. {
  48. static const double epsilon = 1e-10;
  49. // template class, using CRTP to implement forward/inverse
  50. template <typename T, typename Parameters>
  51. struct base_nocol_spheroid
  52. : public base_t_f<base_nocol_spheroid<T, Parameters>, T, Parameters>
  53. {
  54. inline base_nocol_spheroid(const Parameters& par)
  55. : base_t_f<base_nocol_spheroid<T, Parameters>, T, Parameters>(*this, par)
  56. {}
  57. // FORWARD(s_forward) spheroid
  58. // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  59. inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
  60. {
  61. static const T half_pi = detail::half_pi<T>();
  62. if (fabs(lp_lon) < epsilon) {
  63. xy_x = 0;
  64. xy_y = lp_lat;
  65. } else if (fabs(lp_lat) < epsilon) {
  66. xy_x = lp_lon;
  67. xy_y = 0.;
  68. } else if (fabs(fabs(lp_lon) - half_pi) < epsilon) {
  69. xy_x = lp_lon * cos(lp_lat);
  70. xy_y = half_pi * sin(lp_lat);
  71. } else if (fabs(fabs(lp_lat) - half_pi) < epsilon) {
  72. xy_x = 0;
  73. xy_y = lp_lat;
  74. } else {
  75. T tb, c, d, m, n, r2, sp;
  76. tb = half_pi / lp_lon - lp_lon / half_pi;
  77. c = lp_lat / half_pi;
  78. d = (1 - c * c)/((sp = sin(lp_lat)) - c);
  79. r2 = tb / d;
  80. r2 *= r2;
  81. m = (tb * sp / d - 0.5 * tb)/(1. + r2);
  82. n = (sp / r2 + 0.5 * d)/(1. + 1./r2);
  83. xy_x = cos(lp_lat);
  84. xy_x = sqrt(m * m + xy_x * xy_x / (1. + r2));
  85. xy_x = half_pi * ( m + (lp_lon < 0. ? -xy_x : xy_x));
  86. xy_y = sqrt(n * n - (sp * sp / r2 + d * sp - 1.) /
  87. (1. + 1./r2));
  88. xy_y = half_pi * ( n + (lp_lat < 0. ? xy_y : -xy_y ));
  89. }
  90. }
  91. static inline std::string get_name()
  92. {
  93. return "nocol_spheroid";
  94. }
  95. };
  96. // Nicolosi Globular
  97. template <typename Parameters>
  98. inline void setup_nicol(Parameters& par)
  99. {
  100. par.es = 0.;
  101. }
  102. }} // namespace detail::nocol
  103. #endif // doxygen
  104. /*!
  105. \brief Nicolosi Globular projection
  106. \ingroup projections
  107. \tparam Geographic latlong point type
  108. \tparam Cartesian xy point type
  109. \tparam Parameters parameter type
  110. \par Projection characteristics
  111. - Miscellaneous
  112. - Spheroid
  113. - no inverse
  114. \par Example
  115. \image html ex_nicol.gif
  116. */
  117. template <typename T, typename Parameters>
  118. struct nicol_spheroid : public detail::nocol::base_nocol_spheroid<T, Parameters>
  119. {
  120. inline nicol_spheroid(const Parameters& par) : detail::nocol::base_nocol_spheroid<T, Parameters>(par)
  121. {
  122. detail::nocol::setup_nicol(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::par4::nicol, nicol_spheroid, nicol_spheroid)
  130. // Factory entry(s)
  131. template <typename T, typename Parameters>
  132. class nicol_entry : public detail::factory_entry<T, Parameters>
  133. {
  134. public :
  135. virtual base_v<T, Parameters>* create_new(const Parameters& par) const
  136. {
  137. return new base_v_f<nicol_spheroid<T, Parameters>, T, Parameters>(par);
  138. }
  139. };
  140. template <typename T, typename Parameters>
  141. inline void nocol_init(detail::base_factory<T, Parameters>& factory)
  142. {
  143. factory.add_to_factory("nicol", new nicol_entry<T, Parameters>);
  144. }
  145. } // namespace detail
  146. #endif // doxygen
  147. } // namespace projections
  148. }} // namespace boost::geometry
  149. #endif // BOOST_GEOMETRY_PROJECTIONS_NOCOL_HPP