259 lines
9.2 KiB
C++
259 lines
9.2 KiB
C++
// Boost.Geometry - gis-projections (based on PROJ4)
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// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
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// This file was modified by Oracle on 2017, 2018, 2019.
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// Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
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// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
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// Use, modification and distribution is subject to the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// This file is converted from PROJ4, http://trac.osgeo.org/proj
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// PROJ4 is originally written by Gerald Evenden (then of the USGS)
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// PROJ4 is maintained by Frank Warmerdam
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// PROJ4 is converted to Boost.Geometry by Barend Gehrels
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// Last updated version of proj: 5.0.0
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// Original copyright notice:
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// Permission is hereby granted, free of charge, to any person obtaining a
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// copy of this software and associated documentation files (the "Software"),
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// to deal in the Software without restriction, including without limitation
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// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// and/or sell copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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// DEALINGS IN THE SOFTWARE.
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#ifndef BOOST_GEOMETRY_PROJECTIONS_MOLL_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_MOLL_HPP
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#include <boost/geometry/util/math.hpp>
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#include <boost/geometry/srs/projections/impl/base_static.hpp>
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#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/aasincos.hpp>
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namespace boost { namespace geometry
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{
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namespace projections
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace moll
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{
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static const int max_iter = 10;
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static const double loop_tol = 1e-7;
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template <typename T>
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struct par_moll
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{
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T C_x, C_y, C_p;
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};
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template <typename T, typename Parameters>
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struct base_moll_spheroid
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{
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par_moll<T> m_proj_parm;
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// FORWARD(s_forward) spheroid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
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{
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static const T half_pi = detail::half_pi<T>();
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T k, V;
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int i;
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k = this->m_proj_parm.C_p * sin(lp_lat);
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for (i = max_iter; i ; --i) {
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lp_lat -= V = (lp_lat + sin(lp_lat) - k) /
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(1. + cos(lp_lat));
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if (fabs(V) < loop_tol)
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break;
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}
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if (!i)
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lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
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else
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lp_lat *= 0.5;
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xy_x = this->m_proj_parm.C_x * lp_lon * cos(lp_lat);
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xy_y = this->m_proj_parm.C_y * sin(lp_lat);
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}
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// INVERSE(s_inverse) spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T pi = detail::pi<T>();
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lp_lat = aasin(xy_y / this->m_proj_parm.C_y);
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lp_lon = xy_x / (this->m_proj_parm.C_x * cos(lp_lat));
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if (fabs(lp_lon) < pi) {
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lp_lat += lp_lat;
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lp_lat = aasin((lp_lat + sin(lp_lat)) / this->m_proj_parm.C_p);
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} else {
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lp_lon = lp_lat = HUGE_VAL;
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}
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}
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static inline std::string get_name()
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{
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return "moll_spheroid";
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}
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};
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template <typename Parameters, typename T>
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inline void setup(Parameters& par, par_moll<T>& proj_parm, T const& p)
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{
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T r, sp, p2 = p + p;
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par.es = 0;
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sp = sin(p);
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r = sqrt(geometry::math::two_pi<T>() * sp / (p2 + sin(p2)));
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proj_parm.C_x = 2. * r / geometry::math::pi<T>();
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proj_parm.C_y = r / sp;
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proj_parm.C_p = p2 + sin(p2);
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}
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// Mollweide
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template <typename Parameters, typename T>
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inline void setup_moll(Parameters& par, par_moll<T>& proj_parm)
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{
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setup(par, proj_parm, geometry::math::half_pi<T>());
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}
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// Wagner IV
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template <typename Parameters, typename T>
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inline void setup_wag4(Parameters& par, par_moll<T>& proj_parm)
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{
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setup(par, proj_parm, geometry::math::pi<T>()/3.);
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}
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// Wagner V
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template <typename Parameters, typename T>
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inline void setup_wag5(Parameters& par, par_moll<T>& proj_parm)
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{
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par.es = 0;
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proj_parm.C_x = 0.90977;
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proj_parm.C_y = 1.65014;
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proj_parm.C_p = 3.00896;
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}
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}} // namespace detail::moll
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#endif // doxygen
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/*!
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\brief Mollweide projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Pseudocylindrical
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- Spheroid
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\par Example
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\image html ex_moll.gif
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*/
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template <typename T, typename Parameters>
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struct moll_spheroid : public detail::moll::base_moll_spheroid<T, Parameters>
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{
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template <typename Params>
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inline moll_spheroid(Params const& , Parameters & par)
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{
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detail::moll::setup_moll(par, this->m_proj_parm);
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}
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};
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/*!
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\brief Wagner IV projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Pseudocylindrical
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- Spheroid
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\par Example
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\image html ex_wag4.gif
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*/
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template <typename T, typename Parameters>
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struct wag4_spheroid : public detail::moll::base_moll_spheroid<T, Parameters>
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{
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template <typename Params>
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inline wag4_spheroid(Params const& , Parameters & par)
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{
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detail::moll::setup_wag4(par, this->m_proj_parm);
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}
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};
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/*!
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\brief Wagner V projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Pseudocylindrical
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- Spheroid
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\par Example
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\image html ex_wag5.gif
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*/
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template <typename T, typename Parameters>
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struct wag5_spheroid : public detail::moll::base_moll_spheroid<T, Parameters>
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{
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template <typename Params>
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inline wag5_spheroid(Params const& , Parameters & par)
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{
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detail::moll::setup_wag5(par, this->m_proj_parm);
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}
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};
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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// Static projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_moll, moll_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_wag4, wag4_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_wag5, wag5_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(moll_entry, moll_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(wag4_entry, wag4_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(wag5_entry, wag5_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(moll_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(moll, moll_entry);
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wag4, wag4_entry);
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wag5, wag5_entry);
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}
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} // namespace detail
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#endif // doxygen
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} // namespace projections
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_PROJECTIONS_MOLL_HPP
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