188 lines
7.0 KiB
C++
188 lines
7.0 KiB
C++
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// 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_HATANO_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_HATANO_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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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 hatano
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{
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static const int n_iter = 20;
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static const double epsilon = 1e-7;
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static const double one_plus_tol = 1.000001;
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static const double CN_ = 2.67595;
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static const double CS_ = 2.43763;
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static const double RCN = 0.37369906014686373063;
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static const double RCS = 0.41023453108141924738;
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static const double FYCN = 1.75859;
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static const double FYCS = 1.93052;
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static const double RYCN = 0.56863737426006061674;
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static const double RYCS = 0.51799515156538134803;
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static const double FXC = 0.85;
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static const double RXC = 1.17647058823529411764;
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template <typename T, typename Parameters>
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struct base_hatano_spheroid
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{
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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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T th1, c;
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int i;
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c = sin(lp_lat) * (lp_lat < 0. ? CS_ : CN_);
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for (i = n_iter; i; --i) {
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lp_lat -= th1 = (lp_lat + sin(lp_lat) - c) / (1. + cos(lp_lat));
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if (fabs(th1) < epsilon) break;
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}
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xy_x = FXC * lp_lon * cos(lp_lat *= .5);
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xy_y = sin(lp_lat) * (lp_lat < 0. ? FYCS : FYCN);
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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 T const half_pi = detail::half_pi<T>();
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T th;
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th = xy_y * ( xy_y < 0. ? RYCS : RYCN);
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if (fabs(th) > 1.) {
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if (fabs(th) > one_plus_tol) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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} else {
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th = th > 0. ? half_pi : - half_pi;
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}
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} else {
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th = asin(th);
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}
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lp_lon = RXC * xy_x / cos(th);
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th += th;
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lp_lat = (th + sin(th)) * (xy_y < 0. ? RCS : RCN);
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if (fabs(lp_lat) > 1.) {
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if (fabs(lp_lat) > one_plus_tol) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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} else {
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lp_lat = lp_lat > 0. ? half_pi : - half_pi;
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}
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} else {
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lp_lat = asin(lp_lat);
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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 "hatano_spheroid";
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}
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};
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// Hatano Asymmetrical Equal Area
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template <typename Parameters>
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inline void setup_hatano(Parameters& par)
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{
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par.es = 0.;
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}
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}} // namespace detail::hatano
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#endif // doxygen
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/*!
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\brief Hatano Asymmetrical Equal Area 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_hatano.gif
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*/
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template <typename T, typename Parameters>
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struct hatano_spheroid : public detail::hatano::base_hatano_spheroid<T, Parameters>
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{
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template <typename Params>
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inline hatano_spheroid(Params const& , Parameters & par)
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{
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detail::hatano::setup_hatano(par);
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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_hatano, hatano_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(hatano_entry, hatano_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(hatano_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(hatano, hatano_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_HATANO_HPP
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