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Bassem Girgis
338
macx64/include/boost/geometry/srs/projections/proj/nsper.hpp
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338
macx64/include/boost/geometry/srs/projections/proj/nsper.hpp
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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.
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// Modifications copyright (c) 2017-2018, 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_NSPER_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_NSPER_HPP
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#include <boost/config.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_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 nsper
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{
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static const double epsilon10 = 1.e-10;
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enum mode_type {
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n_pole = 0,
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s_pole = 1,
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equit = 2,
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obliq = 3
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};
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template <typename T>
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struct par_nsper
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{
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T height;
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T sinph0;
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T cosph0;
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T p;
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T rp;
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T pn1;
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T pfact;
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T h;
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T cg;
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T sg;
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T sw;
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T cw;
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mode_type mode;
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int tilt;
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};
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// template class, using CRTP to implement forward/inverse
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template <typename T, typename Parameters>
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struct base_nsper_spheroid
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: public base_t_fi<base_nsper_spheroid<T, Parameters>, T, Parameters>
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{
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par_nsper<T> m_proj_parm;
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inline base_nsper_spheroid(const Parameters& par)
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: base_t_fi<base_nsper_spheroid<T, Parameters>, T, Parameters>(*this, par)
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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(T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T coslam, cosphi, sinphi;
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sinphi = sin(lp_lat);
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cosphi = cos(lp_lat);
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coslam = cos(lp_lon);
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switch (this->m_proj_parm.mode) {
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case obliq:
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xy_y = this->m_proj_parm.sinph0 * sinphi + this->m_proj_parm.cosph0 * cosphi * coslam;
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break;
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case equit:
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xy_y = cosphi * coslam;
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break;
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case s_pole:
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xy_y = - sinphi;
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break;
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case n_pole:
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xy_y = sinphi;
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break;
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}
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if (xy_y < this->m_proj_parm.rp) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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xy_y = this->m_proj_parm.pn1 / (this->m_proj_parm.p - xy_y);
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xy_x = xy_y * cosphi * sin(lp_lon);
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switch (this->m_proj_parm.mode) {
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case obliq:
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xy_y *= (this->m_proj_parm.cosph0 * sinphi -
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this->m_proj_parm.sinph0 * cosphi * coslam);
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break;
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case equit:
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xy_y *= sinphi;
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break;
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case n_pole:
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coslam = - coslam;
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BOOST_FALLTHROUGH;
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case s_pole:
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xy_y *= cosphi * coslam;
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break;
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}
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if (this->m_proj_parm.tilt) {
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T yt, ba;
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yt = xy_y * this->m_proj_parm.cg + xy_x * this->m_proj_parm.sg;
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ba = 1. / (yt * this->m_proj_parm.sw * this->m_proj_parm.h + this->m_proj_parm.cw);
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xy_x = (xy_x * this->m_proj_parm.cg - xy_y * this->m_proj_parm.sg) * this->m_proj_parm.cw * ba;
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xy_y = yt * ba;
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}
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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(T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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T rh, cosz, sinz;
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if (this->m_proj_parm.tilt) {
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T bm, bq, yt;
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yt = 1./(this->m_proj_parm.pn1 - xy_y * this->m_proj_parm.sw);
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bm = this->m_proj_parm.pn1 * xy_x * yt;
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bq = this->m_proj_parm.pn1 * xy_y * this->m_proj_parm.cw * yt;
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xy_x = bm * this->m_proj_parm.cg + bq * this->m_proj_parm.sg;
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xy_y = bq * this->m_proj_parm.cg - bm * this->m_proj_parm.sg;
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}
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rh = boost::math::hypot(xy_x, xy_y);
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if ((sinz = 1. - rh * rh * this->m_proj_parm.pfact) < 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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sinz = (this->m_proj_parm.p - sqrt(sinz)) / (this->m_proj_parm.pn1 / rh + rh / this->m_proj_parm.pn1);
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cosz = sqrt(1. - sinz * sinz);
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if (fabs(rh) <= epsilon10) {
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lp_lon = 0.;
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lp_lat = this->m_par.phi0;
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} else {
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switch (this->m_proj_parm.mode) {
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case obliq:
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lp_lat = asin(cosz * this->m_proj_parm.sinph0 + xy_y * sinz * this->m_proj_parm.cosph0 / rh);
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xy_y = (cosz - this->m_proj_parm.sinph0 * sin(lp_lat)) * rh;
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xy_x *= sinz * this->m_proj_parm.cosph0;
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break;
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case equit:
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lp_lat = asin(xy_y * sinz / rh);
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xy_y = cosz * rh;
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xy_x *= sinz;
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break;
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case n_pole:
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lp_lat = asin(cosz);
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xy_y = -xy_y;
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break;
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case s_pole:
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lp_lat = - asin(cosz);
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break;
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}
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lp_lon = atan2(xy_x, xy_y);
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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 "nsper_spheroid";
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}
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};
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template <typename Params, typename Parameters, typename T>
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inline void setup(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
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{
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proj_parm.height = pj_get_param_f<T, srs::spar::h>(params, "h", srs::dpar::h);
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if (proj_parm.height <= 0.)
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BOOST_THROW_EXCEPTION( projection_exception(error_h_less_than_zero) );
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if (fabs(fabs(par.phi0) - geometry::math::half_pi<T>()) < epsilon10)
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proj_parm.mode = par.phi0 < 0. ? s_pole : n_pole;
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else if (fabs(par.phi0) < epsilon10)
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proj_parm.mode = equit;
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else {
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proj_parm.mode = obliq;
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proj_parm.sinph0 = sin(par.phi0);
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proj_parm.cosph0 = cos(par.phi0);
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}
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proj_parm.pn1 = proj_parm.height / par.a; /* normalize by radius */
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proj_parm.p = 1. + proj_parm.pn1;
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proj_parm.rp = 1. / proj_parm.p;
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proj_parm.h = 1. / proj_parm.pn1;
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proj_parm.pfact = (proj_parm.p + 1.) * proj_parm.h;
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par.es = 0.;
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}
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// Near-sided perspective
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template <typename Params, typename Parameters, typename T>
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inline void setup_nsper(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
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{
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proj_parm.tilt = 0;
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setup(params, par, proj_parm);
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}
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// Tilted perspective
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template <typename Params, typename Parameters, typename T>
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inline void setup_tpers(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
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{
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T const omega = pj_get_param_r<T, srs::spar::tilt>(params, "tilt", srs::dpar::tilt);
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T const gamma = pj_get_param_r<T, srs::spar::azi>(params, "azi", srs::dpar::azi);
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proj_parm.tilt = 1;
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proj_parm.cg = cos(gamma); proj_parm.sg = sin(gamma);
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proj_parm.cw = cos(omega); proj_parm.sw = sin(omega);
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setup(params, par, proj_parm);
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}
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}} // namespace detail::nsper
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#endif // doxygen
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/*!
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\brief Near-sided perspective 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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- Spheroid
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\par Projection parameters
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- h: Height
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\par Example
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\image html ex_nsper.gif
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*/
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template <typename T, typename Parameters>
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struct nsper_spheroid : public detail::nsper::base_nsper_spheroid<T, Parameters>
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{
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template <typename Params>
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inline nsper_spheroid(Params const& params, Parameters const& par)
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: detail::nsper::base_nsper_spheroid<T, Parameters>(par)
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{
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detail::nsper::setup_nsper(params, this->m_par, this->m_proj_parm);
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}
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};
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/*!
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\brief Tilted perspective 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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- Spheroid
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\par Projection parameters
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- tilt: Tilt, or Omega (real)
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- azi: Azimuth (or Gamma) (real)
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- h: Height
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\par Example
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\image html ex_tpers.gif
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*/
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template <typename T, typename Parameters>
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struct tpers_spheroid : public detail::nsper::base_nsper_spheroid<T, Parameters>
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{
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template <typename Params>
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inline tpers_spheroid(Params const& params, Parameters const& par)
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: detail::nsper::base_nsper_spheroid<T, Parameters>(par)
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{
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detail::nsper::setup_tpers(params, this->m_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(srs::spar::proj_nsper, nsper_spheroid, nsper_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::spar::proj_tpers, tpers_spheroid, tpers_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nsper_entry, nsper_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(tpers_entry, tpers_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nsper_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nsper, nsper_entry)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tpers, tpers_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_NSPER_HPP
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