250 lines
9.0 KiB
C++
250 lines
9.0 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_GNOM_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_GNOM_HPP
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#include <boost/config.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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#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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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 gnom
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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_gnom
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{
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T sinph0;
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T cosph0;
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mode_type mode;
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};
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template <typename T, typename Parameters>
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struct base_gnom_spheroid
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{
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par_gnom<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 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 equit:
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xy_y = cosphi * coslam;
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break;
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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 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 <= epsilon10) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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xy_x = (xy_y = 1. / xy_y) * cosphi * sin(lp_lon);
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switch (this->m_proj_parm.mode) {
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case equit:
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xy_y *= sinphi;
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break;
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case obliq:
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xy_y *= this->m_proj_parm.cosph0 * sinphi - this->m_proj_parm.sinph0 * cosphi * coslam;
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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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}
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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 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, cosz, sinz;
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rh = boost::math::hypot(xy_x, xy_y);
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sinz = sin(lp_lat = atan(rh));
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cosz = sqrt(1. - sinz * sinz);
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if (fabs(rh) <= epsilon10) {
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lp_lat = par.phi0;
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lp_lon = 0.;
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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 = cosz * this->m_proj_parm.sinph0 + xy_y * sinz * this->m_proj_parm.cosph0 / rh;
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if (fabs(lp_lat) >= 1.)
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lp_lat = lp_lat > 0. ? half_pi : -half_pi;
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else
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lp_lat = asin(lp_lat);
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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 = xy_y * sinz / rh;
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if (fabs(lp_lat) >= 1.)
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lp_lat = lp_lat > 0. ? half_pi : -half_pi;
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else
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lp_lat = asin(lp_lat);
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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 s_pole:
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lp_lat -= half_pi;
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break;
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case n_pole:
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lp_lat = half_pi - lp_lat;
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xy_y = -xy_y;
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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 "gnom_spheroid";
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}
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};
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// Gnomonic
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template <typename Parameters, typename T>
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inline void setup_gnom(Parameters& par, par_gnom<T>& proj_parm)
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{
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static const T half_pi = detail::half_pi<T>();
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if (fabs(fabs(par.phi0) - half_pi) < 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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par.es = 0.;
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}
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}} // namespace detail::gnom
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#endif // doxygen
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/*!
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\brief Gnomonic 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 Example
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\image html ex_gnom.gif
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*/
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template <typename T, typename Parameters>
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struct gnom_spheroid : public detail::gnom::base_gnom_spheroid<T, Parameters>
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{
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template <typename Params>
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inline gnom_spheroid(Params const& , Parameters & par)
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{
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detail::gnom::setup_gnom(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_gnom, gnom_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(gnom_entry, gnom_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(gnom_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(gnom, gnom_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_GNOM_HPP
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