217 lines
9.3 KiB
C++
217 lines
9.3 KiB
C++
// 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_TPEQD_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_TPEQD_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/aasincos.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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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 tpeqd
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{
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template <typename T>
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struct par_tpeqd
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{
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T cp1, sp1, cp2, sp2, ccs, cs, sc, r2z0, z02, dlam2;
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T hz0, thz0, rhshz0, ca, sa, lp, lamc;
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};
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template <typename T, typename Parameters>
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struct base_tpeqd_spheroid
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{
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par_tpeqd<T> m_proj_parm;
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// FORWARD(s_forward) sphere
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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 t, z1, z2, dl1, dl2, sp, cp;
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sp = sin(lp_lat);
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cp = cos(lp_lat);
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z1 = aacos(this->m_proj_parm.sp1 * sp + this->m_proj_parm.cp1 * cp * cos(dl1 = lp_lon + this->m_proj_parm.dlam2));
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z2 = aacos(this->m_proj_parm.sp2 * sp + this->m_proj_parm.cp2 * cp * cos(dl2 = lp_lon - this->m_proj_parm.dlam2));
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z1 *= z1;
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z2 *= z2;
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xy_x = this->m_proj_parm.r2z0 * (t = z1 - z2);
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t = this->m_proj_parm.z02 - t;
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xy_y = this->m_proj_parm.r2z0 * asqrt(4. * this->m_proj_parm.z02 * z2 - t * t);
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if ((this->m_proj_parm.ccs * sp - cp * (this->m_proj_parm.cs * sin(dl1) - this->m_proj_parm.sc * sin(dl2))) < 0.)
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xy_y = -xy_y;
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}
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// INVERSE(s_inverse) sphere
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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T cz1, cz2, s, d, cp, sp;
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cz1 = cos(boost::math::hypot(xy_y, xy_x + this->m_proj_parm.hz0));
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cz2 = cos(boost::math::hypot(xy_y, xy_x - this->m_proj_parm.hz0));
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s = cz1 + cz2;
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d = cz1 - cz2;
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lp_lon = - atan2(d, (s * this->m_proj_parm.thz0));
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lp_lat = aacos(boost::math::hypot(this->m_proj_parm.thz0 * s, d) * this->m_proj_parm.rhshz0);
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if ( xy_y < 0. )
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lp_lat = - lp_lat;
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/* lam--phi now in system relative to P1--P2 base equator */
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sp = sin(lp_lat);
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cp = cos(lp_lat);
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lp_lat = aasin(this->m_proj_parm.sa * sp + this->m_proj_parm.ca * cp * (s = cos(lp_lon -= this->m_proj_parm.lp)));
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lp_lon = atan2(cp * sin(lp_lon), this->m_proj_parm.sa * cp * s - this->m_proj_parm.ca * sp) + this->m_proj_parm.lamc;
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}
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static inline std::string get_name()
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{
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return "tpeqd_spheroid";
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}
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};
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// Two Point Equidistant
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template <typename Params, typename Parameters, typename T>
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inline void setup_tpeqd(Params const& params, Parameters& par, par_tpeqd<T>& proj_parm)
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{
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T lam_1, lam_2, phi_1, phi_2, A12, pp;
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/* get control point locations */
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phi_1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
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lam_1 = pj_get_param_r<T, srs::spar::lon_1>(params, "lon_1", srs::dpar::lon_1);
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phi_2 = pj_get_param_r<T, srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2);
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lam_2 = pj_get_param_r<T, srs::spar::lon_2>(params, "lon_2", srs::dpar::lon_2);
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if (phi_1 == phi_2 && lam_1 == lam_2)
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BOOST_THROW_EXCEPTION( projection_exception(error_control_point_no_dist) );
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par.lam0 = adjlon(0.5 * (lam_1 + lam_2));
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proj_parm.dlam2 = adjlon(lam_2 - lam_1);
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proj_parm.cp1 = cos(phi_1);
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proj_parm.cp2 = cos(phi_2);
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proj_parm.sp1 = sin(phi_1);
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proj_parm.sp2 = sin(phi_2);
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proj_parm.cs = proj_parm.cp1 * proj_parm.sp2;
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proj_parm.sc = proj_parm.sp1 * proj_parm.cp2;
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proj_parm.ccs = proj_parm.cp1 * proj_parm.cp2 * sin(proj_parm.dlam2);
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proj_parm.z02 = aacos(proj_parm.sp1 * proj_parm.sp2 + proj_parm.cp1 * proj_parm.cp2 * cos(proj_parm.dlam2));
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proj_parm.hz0 = .5 * proj_parm.z02;
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A12 = atan2(proj_parm.cp2 * sin(proj_parm.dlam2),
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proj_parm.cp1 * proj_parm.sp2 - proj_parm.sp1 * proj_parm.cp2 * cos(proj_parm.dlam2));
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proj_parm.ca = cos(pp = aasin(proj_parm.cp1 * sin(A12)));
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proj_parm.sa = sin(pp);
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proj_parm.lp = adjlon(atan2(proj_parm.cp1 * cos(A12), proj_parm.sp1) - proj_parm.hz0);
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proj_parm.dlam2 *= .5;
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proj_parm.lamc = geometry::math::half_pi<T>() - atan2(sin(A12) * proj_parm.sp1, cos(A12)) - proj_parm.dlam2;
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proj_parm.thz0 = tan(proj_parm.hz0);
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proj_parm.rhshz0 = .5 / sin(proj_parm.hz0);
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proj_parm.r2z0 = 0.5 / proj_parm.z02;
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proj_parm.z02 *= proj_parm.z02;
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par.es = 0.;
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}
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}} // namespace detail::tpeqd
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#endif // doxygen
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/*!
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\brief Two Point Equidistant 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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- Miscellaneous
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- Spheroid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel (degrees)
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- lon_1 (degrees)
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- lat_2: Latitude of second standard parallel (degrees)
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- lon_2 (degrees)
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\par Example
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\image html ex_tpeqd.gif
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*/
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template <typename T, typename Parameters>
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struct tpeqd_spheroid : public detail::tpeqd::base_tpeqd_spheroid<T, Parameters>
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{
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template <typename Params>
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inline tpeqd_spheroid(Params const& params, Parameters & par)
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{
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detail::tpeqd::setup_tpeqd(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_FI(srs::spar::proj_tpeqd, tpeqd_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(tpeqd_entry, tpeqd_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(tpeqd_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tpeqd, tpeqd_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_TPEQD_HPP
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