316 lines
13 KiB
C++
316 lines
13 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_IMW_P_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_IMW_P_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_mlfn.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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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 imw_p
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{
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static const double tolerance = 1e-10;
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static const double epsilon = 1e-10;
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template <typename T>
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struct point_xy { T x, y; }; // specific for IMW_P
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enum mode_type {
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none_is_zero = 0, /* phi_1 and phi_2 != 0 */
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phi_1_is_zero = 1, /* phi_1 = 0 */
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phi_2_is_zero = -1 /* phi_2 = 0 */
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};
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template <typename T>
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struct par_imw_p
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{
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T P, Pp, Q, Qp, R_1, R_2, sphi_1, sphi_2, C2;
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T phi_1, phi_2, lam_1;
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detail::en<T> en;
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mode_type mode;
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};
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template <typename Params, typename T>
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inline int phi12(Params const& params,
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par_imw_p<T> & proj_parm, T *del, T *sig)
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{
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int err = 0;
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if (!pj_param_r<srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1, proj_parm.phi_1) ||
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!pj_param_r<srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2, proj_parm.phi_2)) {
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err = -41;
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} else {
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//proj_parm.phi_1 = pj_get_param_r(par.params, "lat_1"); // set above
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//proj_parm.phi_2 = pj_get_param_r(par.params, "lat_2"); // set above
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*del = 0.5 * (proj_parm.phi_2 - proj_parm.phi_1);
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*sig = 0.5 * (proj_parm.phi_2 + proj_parm.phi_1);
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err = (fabs(*del) < epsilon || fabs(*sig) < epsilon) ? -42 : 0;
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}
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return err;
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}
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template <typename Parameters, typename T>
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inline point_xy<T> loc_for(T const& lp_lam, T const& lp_phi,
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Parameters const& par,
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par_imw_p<T> const& proj_parm,
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T *yc)
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{
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point_xy<T> xy;
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if (lp_phi == 0.0) {
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xy.x = lp_lam;
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xy.y = 0.;
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} else {
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T xa, ya, xb, yb, xc, D, B, m, sp, t, R, C;
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sp = sin(lp_phi);
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m = pj_mlfn(lp_phi, sp, cos(lp_phi), proj_parm.en);
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xa = proj_parm.Pp + proj_parm.Qp * m;
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ya = proj_parm.P + proj_parm.Q * m;
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R = 1. / (tan(lp_phi) * sqrt(1. - par.es * sp * sp));
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C = sqrt(R * R - xa * xa);
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if (lp_phi < 0.) C = - C;
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C += ya - R;
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if (proj_parm.mode == phi_2_is_zero) {
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xb = lp_lam;
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yb = proj_parm.C2;
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} else {
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t = lp_lam * proj_parm.sphi_2;
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xb = proj_parm.R_2 * sin(t);
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yb = proj_parm.C2 + proj_parm.R_2 * (1. - cos(t));
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}
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if (proj_parm.mode == phi_1_is_zero) {
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xc = lp_lam;
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*yc = 0.;
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} else {
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t = lp_lam * proj_parm.sphi_1;
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xc = proj_parm.R_1 * sin(t);
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*yc = proj_parm.R_1 * (1. - cos(t));
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}
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D = (xb - xc)/(yb - *yc);
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B = xc + D * (C + R - *yc);
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xy.x = D * sqrt(R * R * (1 + D * D) - B * B);
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if (lp_phi > 0)
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xy.x = - xy.x;
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xy.x = (B + xy.x) / (1. + D * D);
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xy.y = sqrt(R * R - xy.x * xy.x);
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if (lp_phi > 0)
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xy.y = - xy.y;
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xy.y += C + R;
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}
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return (xy);
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}
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template <typename Parameters, typename T>
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inline void xy(Parameters const& par, par_imw_p<T> const& proj_parm,
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T const& phi,
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T *x, T *y, T *sp, T *R)
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{
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T F;
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*sp = sin(phi);
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*R = 1./(tan(phi) * sqrt(1. - par.es * *sp * *sp ));
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F = proj_parm.lam_1 * *sp;
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*y = *R * (1 - cos(F));
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*x = *R * sin(F);
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}
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template <typename T, typename Parameters>
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struct base_imw_p_ellipsoid
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{
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par_imw_p<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 yc = 0;
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point_xy<T> xy = loc_for(lp_lon, lp_lat, par, m_proj_parm, &yc);
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xy_x = xy.x; xy_y = xy.y;
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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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point_xy<T> t;
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T yc = 0.0;
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int i = 0;
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const int n_max_iter = 1000; /* Arbitrarily choosen number... */
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lp_lat = this->m_proj_parm.phi_2;
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lp_lon = xy_x / cos(lp_lat);
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do {
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t = loc_for(lp_lon, lp_lat, par, m_proj_parm, &yc);
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lp_lat = ((lp_lat - this->m_proj_parm.phi_1) * (xy_y - yc) / (t.y - yc)) + this->m_proj_parm.phi_1;
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lp_lon = lp_lon * xy_x / t.x;
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i++;
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} while (i < n_max_iter &&
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(fabs(t.x - xy_x) > tolerance || fabs(t.y - xy_y) > tolerance));
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if( i == n_max_iter )
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{
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lp_lon = lp_lat = HUGE_VAL;
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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 "imw_p_ellipsoid";
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}
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};
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// International Map of the World Polyconic
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template <typename Params, typename Parameters, typename T>
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inline void setup_imw_p(Params const& params, Parameters const& par, par_imw_p<T>& proj_parm)
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{
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T del, sig, s, t, x1, x2, T2, y1, m1, m2, y2;
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int err;
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proj_parm.en = pj_enfn<T>(par.es);
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if( (err = phi12(params, proj_parm, &del, &sig)) != 0)
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BOOST_THROW_EXCEPTION( projection_exception(err) );
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if (proj_parm.phi_2 < proj_parm.phi_1) { /* make sure proj_parm.phi_1 most southerly */
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del = proj_parm.phi_1;
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proj_parm.phi_1 = proj_parm.phi_2;
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proj_parm.phi_2 = del;
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}
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if (pj_param_r<srs::spar::lon_1>(params, "lon_1", srs::dpar::lon_1, proj_parm.lam_1)) {
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/* empty */
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} else { /* use predefined based upon latitude */
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sig = fabs(sig * geometry::math::r2d<T>());
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if (sig <= 60) sig = 2.;
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else if (sig <= 76) sig = 4.;
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else sig = 8.;
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proj_parm.lam_1 = sig * geometry::math::d2r<T>();
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}
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proj_parm.mode = none_is_zero;
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if (proj_parm.phi_1 != 0.0)
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xy(par, proj_parm, proj_parm.phi_1, &x1, &y1, &proj_parm.sphi_1, &proj_parm.R_1);
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else {
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proj_parm.mode = phi_1_is_zero;
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y1 = 0.;
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x1 = proj_parm.lam_1;
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}
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if (proj_parm.phi_2 != 0.0)
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xy(par, proj_parm, proj_parm.phi_2, &x2, &T2, &proj_parm.sphi_2, &proj_parm.R_2);
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else {
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proj_parm.mode = phi_2_is_zero;
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T2 = 0.;
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x2 = proj_parm.lam_1;
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}
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m1 = pj_mlfn(proj_parm.phi_1, proj_parm.sphi_1, cos(proj_parm.phi_1), proj_parm.en);
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m2 = pj_mlfn(proj_parm.phi_2, proj_parm.sphi_2, cos(proj_parm.phi_2), proj_parm.en);
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t = m2 - m1;
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s = x2 - x1;
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y2 = sqrt(t * t - s * s) + y1;
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proj_parm.C2 = y2 - T2;
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t = 1. / t;
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proj_parm.P = (m2 * y1 - m1 * y2) * t;
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proj_parm.Q = (y2 - y1) * t;
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proj_parm.Pp = (m2 * x1 - m1 * x2) * t;
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proj_parm.Qp = (x2 - x1) * t;
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}
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}} // namespace detail::imw_p
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#endif // doxygen
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/*!
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\brief International Map of the World Polyconic 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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- Mod. Polyconic
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- Ellipsoid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel
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- lat_2: Latitude of second standard parallel
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- lon_1 (degrees)
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\par Example
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\image html ex_imw_p.gif
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*/
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template <typename T, typename Parameters>
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struct imw_p_ellipsoid : public detail::imw_p::base_imw_p_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline imw_p_ellipsoid(Params const& params, Parameters const& par)
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{
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detail::imw_p::setup_imw_p(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_imw_p, imw_p_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(imw_p_entry, imw_p_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(imw_p_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(imw_p, imw_p_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_IMW_P_HPP
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