280 lines
11 KiB
C++
280 lines
11 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, 2022.
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// Modifications copyright (c) 2017-2022, Oracle and/or its affiliates.
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// Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle.
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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: 9.0.0
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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_CASS_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_CASS_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/pj_generic_inverse.hpp>
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#include <boost/geometry/srs/projections/impl/pj_mlfn.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 cass
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{
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//static const double epsilon10 = 1e-10;
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//static const double C1 = .16666666666666666666;
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//static const double C2 = .00833333333333333333;
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//static const double C3 = .04166666666666666666;
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//static const double C4 = .33333333333333333333;
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//static const double C5 = .06666666666666666666;
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template <typename T>
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inline T C1() { return .16666666666666666666666666666666666666; }
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template <typename T>
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inline T C2() { return .00833333333333333333333333333333333333; }
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template <typename T>
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inline T C3() { return .04166666666666666666666666666666666666; }
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template <typename T>
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inline T C4() { return .33333333333333333333333333333333333333; }
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template <typename T>
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inline T C5() { return .06666666666666666666666666666666666666; }
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template <typename T>
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struct par_cass
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{
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T m0;
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detail::en<T> en;
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bool hyperbolic;
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};
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template <typename T, typename Parameters>
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struct base_cass_ellipsoid
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{
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par_cass<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,
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T& xy_x, T& xy_y) const
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{
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static T const C1 = cass::C1<T>();
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static T const C2 = cass::C2<T>();
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static T const C3 = cass::C3<T>();
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T sinlplat = sin(lp_lat);
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T c = cos(lp_lat);
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xy_y = pj_mlfn(lp_lat, sinlplat, c, this->m_proj_parm.en);
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T n_square = 1./(1. - par.es * sinlplat * sinlplat);
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T n = sqrt(n_square);
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T tn = tan(lp_lat);
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T t = tn * tn;
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T a1 = lp_lon * c;
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c *= par.es * c / (1 - par.es);
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T a2 = a1 * a1;
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xy_x = n * a1 * (1. - a2 * t *
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(C1 - (8. - t + 8. * c) * a2 * C2));
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xy_y -= this->m_proj_parm.m0 - n * tn * a2 *
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(.5 + (5. - t + 6. * c) * a2 * C3);
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if ( this->m_proj_parm.hyperbolic )
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{
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T const rho = n_square * (1. - par.es) * n;
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xy_y -= xy_y * xy_y * xy_y / (6 * rho * n);
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}
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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 const& xy_y,
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T& lp_lon, T& lp_lat) const
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{
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static const T C3 = cass::C3<T>();
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static const T C4 = cass::C4<T>();
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static const T C5 = cass::C5<T>();
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T ph1;
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ph1 = pj_inv_mlfn(this->m_proj_parm.m0 + xy_y, par.es, this->m_proj_parm.en);
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T tn = tan(ph1); T t = tn * tn;
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T n = sin(ph1);
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T r = 1. / (1. - par.es * n * n);
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n = sqrt(r);
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r *= (1. - par.es) * n;
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T dd = xy_x / n;
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T d2 = dd * dd;
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lp_lat = ph1 - (n * tn / r) * d2 *
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(.5 - (1. + 3. * t) * d2 * C3);
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lp_lon = dd * (1. + t * d2 *
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(-C4 + (1. + 3. * t) * d2 * C5)) / cos(ph1);
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if ( this->m_proj_parm.hyperbolic )
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{
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// EPSG guidance note 7-2 suggests a custom approximation for the
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// 'Vanua Levu 1915 / Vanua Levu Grid' case, but better use the
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// generic inversion method
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pj_generic_inverse_2d(xy_x, xy_y, par, this, lp_lat, lp_lon);
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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 "cass_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_cass_spheroid
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{
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par_cass<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& par, T const& lp_lon, T const& lp_lat,
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T& xy_x, T& xy_y) const
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{
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xy_x = asin(cos(lp_lat) * sin(lp_lon));
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xy_y = atan2(tan(lp_lat) , cos(lp_lon)) - par.phi0;
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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& par, T const& xy_x, T const& xy_y,
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T& lp_lon, T& lp_lat) const
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{
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T dd = xy_y + par.phi0;
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lp_lat = asin(sin(dd) * cos(xy_x));
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lp_lon = atan2(tan(xy_x), cos(dd));
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}
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static inline std::string get_name()
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{
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return "cass_spheroid";
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}
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};
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// Cassini
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template <typename Params, typename Parameters, typename T>
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inline void setup_cass(Params const& params, Parameters& par, par_cass<T>& proj_parm)
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{
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if (par.es) {
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proj_parm.en = pj_enfn<T>(par.es);
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proj_parm.m0 = pj_mlfn(par.phi0, sin(par.phi0), cos(par.phi0), proj_parm.en);
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} else {
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}
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proj_parm.hyperbolic = false;
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if (pj_param_exists<srs::spar::hyperbolic>(params, "hyperbolic", srs::dpar::hyperbolic))
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proj_parm.hyperbolic = true;
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}
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}} // namespace detail::cass
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#endif // doxygen
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/*!
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\brief Cassini 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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- Cylindrical
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_cass.gif
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*/
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template <typename T, typename Parameters>
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struct cass_ellipsoid : public detail::cass::base_cass_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline cass_ellipsoid(Params const& params, Parameters const& par)
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{
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detail::cass::setup_cass(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Cassini 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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- Cylindrical
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_cass.gif
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*/
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template <typename T, typename Parameters>
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struct cass_spheroid : public detail::cass::base_cass_spheroid<T, Parameters>
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{
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template <typename Params>
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inline cass_spheroid(Params const& params, Parameters const& par)
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{
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detail::cass::setup_cass(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_cass, cass_spheroid,
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cass_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(cass_entry, cass_spheroid, cass_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(cass_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(cass, cass_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_CASS_HPP
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