266 lines
10 KiB
C++
266 lines
10 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_BONNE_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_BONNE_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/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/pj_mlfn.hpp>
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#include <boost/geometry/srs/projections/impl/pj_param.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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#include <boost/geometry/util/math.hpp>
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#include <boost/math/special_functions/hypot.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 bonne
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{
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static const double epsilon10 = 1e-10;
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template <typename T>
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struct par_bonne
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{
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T phi1;
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T cphi1;
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T am1;
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T m1;
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detail::en<T> en;
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};
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template <typename T, typename Parameters>
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struct base_bonne_ellipsoid
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{
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par_bonne<T> m_proj_parm;
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// FORWARD(e_forward) ellipsoid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T rh, E, c;
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rh = this->m_proj_parm.am1 + this->m_proj_parm.m1 - pj_mlfn(lp_lat, E = sin(lp_lat), c = cos(lp_lat), this->m_proj_parm.en);
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E = c * lp_lon / (rh * sqrt(1. - par.es * E * E));
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xy_x = rh * sin(E);
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xy_y = this->m_proj_parm.am1 - rh * cos(E);
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}
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// INVERSE(e_inverse) ellipsoid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& par, T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T half_pi = detail::half_pi<T>();
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T s, rh;
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rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.am1 - xy_y);
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lp_lat = pj_inv_mlfn(this->m_proj_parm.am1 + this->m_proj_parm.m1 - rh, par.es, this->m_proj_parm.en);
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if ((s = fabs(lp_lat)) < half_pi) {
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s = sin(lp_lat);
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lp_lon = rh * atan2(xy_x, xy_y) *
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sqrt(1. - par.es * s * s) / cos(lp_lat);
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} else if (fabs(s - half_pi) <= epsilon10)
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lp_lon = 0.;
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else
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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static inline std::string get_name()
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{
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return "bonne_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_bonne_spheroid
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{
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par_bonne<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 const& lp_lat, T& xy_x, T& xy_y) const
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{
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T E, rh;
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rh = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - lp_lat;
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if (fabs(rh) > epsilon10) {
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xy_x = rh * sin(E = lp_lon * cos(lp_lat) / rh);
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xy_y = this->m_proj_parm.cphi1 - rh * cos(E);
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} else
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xy_x = xy_y = 0.;
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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 xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T half_pi = detail::half_pi<T>();
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T rh;
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rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.cphi1 - xy_y);
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lp_lat = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - rh;
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if (fabs(lp_lat) > half_pi) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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if (fabs(fabs(lp_lat) - half_pi) <= epsilon10)
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lp_lon = 0.;
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else
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lp_lon = rh * atan2(xy_x, xy_y) / cos(lp_lat);
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}
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static inline std::string get_name()
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{
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return "bonne_spheroid";
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}
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};
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// Bonne (Werner lat_1=90)
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template <typename Params, typename Parameters, typename T>
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inline void setup_bonne(Params const& params, Parameters const& par, par_bonne<T>& proj_parm)
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{
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static const T half_pi = detail::half_pi<T>();
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T c;
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proj_parm.phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
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if (fabs(proj_parm.phi1) < epsilon10)
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BOOST_THROW_EXCEPTION( projection_exception(error_lat1_is_zero) );
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if (par.es != 0.0) {
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proj_parm.en = pj_enfn<T>(par.es);
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proj_parm.m1 = pj_mlfn(proj_parm.phi1, proj_parm.am1 = sin(proj_parm.phi1),
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c = cos(proj_parm.phi1), proj_parm.en);
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proj_parm.am1 = c / (sqrt(1. - par.es * proj_parm.am1 * proj_parm.am1) * proj_parm.am1);
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} else {
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if (fabs(proj_parm.phi1) + epsilon10 >= half_pi)
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proj_parm.cphi1 = 0.;
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else
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proj_parm.cphi1 = 1. / tan(proj_parm.phi1);
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}
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}
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}} // namespace detail::bonne
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#endif // doxygen
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/*!
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\brief Bonne (Werner lat_1=90) 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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- Conic
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- Spheroid
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- Ellipsoid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel (degrees)
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\par Example
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\image html ex_bonne.gif
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*/
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template <typename T, typename Parameters>
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struct bonne_ellipsoid : public detail::bonne::base_bonne_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline bonne_ellipsoid(Params const& params, Parameters const& par)
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{
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detail::bonne::setup_bonne(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Bonne (Werner lat_1=90) 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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- Conic
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- Spheroid
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- Ellipsoid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel (degrees)
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\par Example
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\image html ex_bonne.gif
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*/
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template <typename T, typename Parameters>
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struct bonne_spheroid : public detail::bonne::base_bonne_spheroid<T, Parameters>
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{
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template <typename Params>
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inline bonne_spheroid(Params const& params, Parameters const& par)
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{
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detail::bonne::setup_bonne(params, 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_FI2(srs::spar::proj_bonne, bonne_spheroid, bonne_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(bonne_entry, bonne_spheroid, bonne_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bonne_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bonne, bonne_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_BONNE_HPP
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