204 lines
8.0 KiB
C++
204 lines
8.0 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_SOMERC_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_SOMERC_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 somerc
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{
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static const double epsilon = 1.e-10;
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static const int n_iter = 6;
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template <typename T>
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struct par_somerc
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{
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T K, c, hlf_e, kR, cosp0, sinp0;
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};
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template <typename T, typename Parameters>
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struct base_somerc_ellipsoid
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{
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par_somerc<T> m_proj_parm;
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// FORWARD(e_forward)
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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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static const T fourth_pi = detail::fourth_pi<T>();
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static const T half_pi = detail::half_pi<T>();
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T phip, lamp, phipp, lampp, sp, cp;
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sp = par.e * sin(lp_lat);
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phip = 2.* atan( exp( this->m_proj_parm.c * (
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log(tan(fourth_pi + 0.5 * lp_lat)) - this->m_proj_parm.hlf_e * log((1. + sp)/(1. - sp)))
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+ this->m_proj_parm.K)) - half_pi;
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lamp = this->m_proj_parm.c * lp_lon;
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cp = cos(phip);
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phipp = aasin(this->m_proj_parm.cosp0 * sin(phip) - this->m_proj_parm.sinp0 * cp * cos(lamp));
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lampp = aasin(cp * sin(lamp) / cos(phipp));
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xy_x = this->m_proj_parm.kR * lampp;
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xy_y = this->m_proj_parm.kR * log(tan(fourth_pi + 0.5 * phipp));
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}
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// INVERSE(e_inverse) ellipsoid & 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, T& lp_lon, T& lp_lat) const
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{
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static const T fourth_pi = detail::fourth_pi<T>();
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T phip, lamp, phipp, lampp, cp, esp, con, delp;
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int i;
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phipp = 2. * (atan(exp(xy_y / this->m_proj_parm.kR)) - fourth_pi);
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lampp = xy_x / this->m_proj_parm.kR;
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cp = cos(phipp);
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phip = aasin(this->m_proj_parm.cosp0 * sin(phipp) + this->m_proj_parm.sinp0 * cp * cos(lampp));
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lamp = aasin(cp * sin(lampp) / cos(phip));
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con = (this->m_proj_parm.K - log(tan(fourth_pi + 0.5 * phip)))/this->m_proj_parm.c;
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for (i = n_iter; i ; --i) {
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esp = par.e * sin(phip);
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delp = (con + log(tan(fourth_pi + 0.5 * phip)) - this->m_proj_parm.hlf_e *
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log((1. + esp)/(1. - esp)) ) *
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(1. - esp * esp) * cos(phip) * par.rone_es;
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phip -= delp;
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if (fabs(delp) < epsilon)
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break;
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}
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if (i) {
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lp_lat = phip;
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lp_lon = lamp / this->m_proj_parm.c;
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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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}
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static inline std::string get_name()
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{
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return "somerc_ellipsoid";
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}
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};
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// Swiss. Obl. Mercator
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template <typename Parameters, typename T>
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inline void setup_somerc(Parameters const& par, par_somerc<T>& proj_parm)
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{
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static const T fourth_pi = detail::fourth_pi<T>();
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T cp, phip0, sp;
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proj_parm.hlf_e = 0.5 * par.e;
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cp = cos(par.phi0);
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cp *= cp;
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proj_parm.c = sqrt(1 + par.es * cp * cp * par.rone_es);
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sp = sin(par.phi0);
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proj_parm.cosp0 = cos( phip0 = aasin(proj_parm.sinp0 = sp / proj_parm.c) );
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sp *= par.e;
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proj_parm.K = log(tan(fourth_pi + 0.5 * phip0)) - proj_parm.c * (
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log(tan(fourth_pi + 0.5 * par.phi0)) - proj_parm.hlf_e *
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log((1. + sp) / (1. - sp)));
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proj_parm.kR = par.k0 * sqrt(par.one_es) / (1. - sp * sp);
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}
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}} // namespace detail::somerc
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#endif // doxygen
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/*!
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\brief Swiss. Obl. Mercator 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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- Ellipsoid
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- For CH1903
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\par Example
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\image html ex_somerc.gif
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*/
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template <typename T, typename Parameters>
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struct somerc_ellipsoid : public detail::somerc::base_somerc_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline somerc_ellipsoid(Params const& , Parameters const& par)
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{
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detail::somerc::setup_somerc(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_somerc, somerc_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(somerc_entry, somerc_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(somerc_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(somerc, somerc_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_SOMERC_HPP
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