218 lines
9.5 KiB
C++
218 lines
9.5 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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// Copyright (c) 2003, 2006 Gerald I. Evenden
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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_ROUSS_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_ROUSS_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/proj_mdist.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 rouss
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{
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template <typename T>
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struct par_rouss
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{
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T s0;
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T A1, A2, A3, A4, A5, A6;
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T B1, B2, B3, B4, B5, B6, B7, B8;
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T C1, C2, C3, C4, C5, C6, C7, C8;
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T D1, D2, D3, D4, D5, D6, D7, D8, D9, D10, D11;
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mdist<T> en;
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};
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template <typename T, typename Parameters>
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struct base_rouss_ellipsoid
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{
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par_rouss<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 s, al, cp, sp, al2, s2;
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cp = cos(lp_lat);
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sp = sin(lp_lat);
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s = proj_mdist(lp_lat, sp, cp, this->m_proj_parm.en) - this->m_proj_parm.s0;
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s2 = s * s;
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al = lp_lon * cp / sqrt(1. - par.es * sp * sp);
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al2 = al * al;
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xy_x = par.k0 * al*(1.+s2*(this->m_proj_parm.A1+s2*this->m_proj_parm.A4)-al2*(this->m_proj_parm.A2+s*this->m_proj_parm.A3+s2*this->m_proj_parm.A5
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+al2*this->m_proj_parm.A6));
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xy_y = par.k0 * (al2*(this->m_proj_parm.B1+al2*this->m_proj_parm.B4)+
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s*(1.+al2*(this->m_proj_parm.B3-al2*this->m_proj_parm.B6)+s2*(this->m_proj_parm.B2+s2*this->m_proj_parm.B8)+
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s*al2*(this->m_proj_parm.B5+s*this->m_proj_parm.B7)));
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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, T& lp_lon, T& lp_lat) const
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{
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T s, al, x = xy_x / par.k0, y = xy_y / par.k0, x2, y2;
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x2 = x * x;
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y2 = y * y;
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al = x*(1.-this->m_proj_parm.C1*y2+x2*(this->m_proj_parm.C2+this->m_proj_parm.C3*y-this->m_proj_parm.C4*x2+this->m_proj_parm.C5*y2-this->m_proj_parm.C7*x2*y)
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+y2*(this->m_proj_parm.C6*y2-this->m_proj_parm.C8*x2*y));
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s = this->m_proj_parm.s0 + y*(1.+y2*(-this->m_proj_parm.D2+this->m_proj_parm.D8*y2))+
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x2*(-this->m_proj_parm.D1+y*(-this->m_proj_parm.D3+y*(-this->m_proj_parm.D5+y*(-this->m_proj_parm.D7+y*this->m_proj_parm.D11)))+
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x2*(this->m_proj_parm.D4+y*(this->m_proj_parm.D6+y*this->m_proj_parm.D10)-x2*this->m_proj_parm.D9));
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lp_lat=proj_inv_mdist(s, this->m_proj_parm.en);
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s = sin(lp_lat);
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lp_lon=al * sqrt(1. - par.es * s * s)/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 "rouss_ellipsoid";
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}
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};
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// Roussilhe Stereographic
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template <typename Parameters, typename T>
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inline void setup_rouss(Parameters const& par, par_rouss<T>& proj_parm)
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{
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T N0, es2, t, t2, R_R0_2, R_R0_4;
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if (!proj_mdist_ini(par.es, proj_parm.en))
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BOOST_THROW_EXCEPTION( projection_exception(0) );
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es2 = sin(par.phi0);
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proj_parm.s0 = proj_mdist(par.phi0, es2, cos(par.phi0), proj_parm.en);
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t = 1. - (es2 = par.es * es2 * es2);
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N0 = 1./sqrt(t);
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R_R0_2 = t * t / par.one_es;
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R_R0_4 = R_R0_2 * R_R0_2;
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t = tan(par.phi0);
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t2 = t * t;
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proj_parm.C1 = proj_parm.A1 = R_R0_2 / 4.;
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proj_parm.C2 = proj_parm.A2 = R_R0_2 * (2 * t2 - 1. - 2. * es2) / 12.;
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proj_parm.A3 = R_R0_2 * t * (1. + 4. * t2)/ ( 12. * N0);
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proj_parm.A4 = R_R0_4 / 24.;
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proj_parm.A5 = R_R0_4 * ( -1. + t2 * (11. + 12. * t2))/24.;
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proj_parm.A6 = R_R0_4 * ( -2. + t2 * (11. - 2. * t2))/240.;
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proj_parm.B1 = t / (2. * N0);
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proj_parm.B2 = R_R0_2 / 12.;
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proj_parm.B3 = R_R0_2 * (1. + 2. * t2 - 2. * es2)/4.;
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proj_parm.B4 = R_R0_2 * t * (2. - t2)/(24. * N0);
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proj_parm.B5 = R_R0_2 * t * (5. + 4.* t2)/(8. * N0);
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proj_parm.B6 = R_R0_4 * (-2. + t2 * (-5. + 6. * t2))/48.;
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proj_parm.B7 = R_R0_4 * (5. + t2 * (19. + 12. * t2))/24.;
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proj_parm.B8 = R_R0_4 / 120.;
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proj_parm.C3 = R_R0_2 * t * (1. + t2)/(3. * N0);
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proj_parm.C4 = R_R0_4 * (-3. + t2 * (34. + 22. * t2))/240.;
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proj_parm.C5 = R_R0_4 * (4. + t2 * (13. + 12. * t2))/24.;
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proj_parm.C6 = R_R0_4 / 16.;
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proj_parm.C7 = R_R0_4 * t * (11. + t2 * (33. + t2 * 16.))/(48. * N0);
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proj_parm.C8 = R_R0_4 * t * (1. + t2 * 4.)/(36. * N0);
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proj_parm.D1 = t / (2. * N0);
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proj_parm.D2 = R_R0_2 / 12.;
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proj_parm.D3 = R_R0_2 * (2 * t2 + 1. - 2. * es2) / 4.;
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proj_parm.D4 = R_R0_2 * t * (1. + t2)/(8. * N0);
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proj_parm.D5 = R_R0_2 * t * (1. + t2 * 2.)/(4. * N0);
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proj_parm.D6 = R_R0_4 * (1. + t2 * (6. + t2 * 6.))/16.;
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proj_parm.D7 = R_R0_4 * t2 * (3. + t2 * 4.)/8.;
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proj_parm.D8 = R_R0_4 / 80.;
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proj_parm.D9 = R_R0_4 * t * (-21. + t2 * (178. - t2 * 26.))/720.;
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proj_parm.D10 = R_R0_4 * t * (29. + t2 * (86. + t2 * 48.))/(96. * N0);
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proj_parm.D11 = R_R0_4 * t * (37. + t2 * 44.)/(96. * N0);
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}
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}} // namespace detail::rouss
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#endif // doxygen
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/*!
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\brief Roussilhe Stereographic 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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- Azimuthal
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- Ellipsoid
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\par Example
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\image html ex_rouss.gif
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*/
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template <typename T, typename Parameters>
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struct rouss_ellipsoid : public detail::rouss::base_rouss_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline rouss_ellipsoid(Params const& , Parameters const& par)
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{
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detail::rouss::setup_rouss(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_rouss, rouss_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(rouss_entry, rouss_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(rouss_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(rouss, rouss_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_ROUSS_HPP
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