279 lines
11 KiB
C++
279 lines
11 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_POLY_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_POLY_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/pj_mlfn.hpp>
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#include <boost/geometry/srs/projections/impl/pj_msfn.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 poly
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{
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static const double tolerance = 1e-10;
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static const double conv_tolerance = 1e-10;
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static const int n_iter = 10;
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static const int i_iter = 20;
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static const double i_tolerance = 1.e-12;
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template <typename T>
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struct par_poly
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{
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T ml0;
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detail::en<T> en;
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};
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template <typename T, typename Parameters>
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struct base_poly_ellipsoid
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{
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par_poly<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 lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T ms, sp, cp;
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if (fabs(lp_lat) <= tolerance) {
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xy_x = lp_lon;
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xy_y = -this->m_proj_parm.ml0;
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} else {
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sp = sin(lp_lat);
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ms = fabs(cp = cos(lp_lat)) > tolerance ? pj_msfn(sp, cp, par.es) / sp : 0.;
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xy_x = ms * sin(lp_lon *= sp);
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xy_y = (pj_mlfn(lp_lat, sp, cp, this->m_proj_parm.en) - this->m_proj_parm.ml0) + ms * (1. - cos(lp_lon));
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}
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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 xy_y, T& lp_lon, T& lp_lat) const
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{
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xy_y += this->m_proj_parm.ml0;
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if (fabs(xy_y) <= tolerance) {
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lp_lon = xy_x;
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lp_lat = 0.;
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} else {
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T r, c, sp, cp, s2ph, ml, mlb, mlp, dPhi;
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int i;
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r = xy_y * xy_y + xy_x * xy_x;
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for (lp_lat = xy_y, i = i_iter; i ; --i) {
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sp = sin(lp_lat);
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s2ph = sp * ( cp = cos(lp_lat));
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if (fabs(cp) < i_tolerance) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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c = sp * (mlp = sqrt(1. - par.es * sp * sp)) / cp;
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ml = pj_mlfn(lp_lat, sp, cp, this->m_proj_parm.en);
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mlb = ml * ml + r;
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mlp = par.one_es / (mlp * mlp * mlp);
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lp_lat += ( dPhi =
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( ml + ml + c * mlb - 2. * xy_y * (c * ml + 1.) ) / (
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par.es * s2ph * (mlb - 2. * xy_y * ml) / c +
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2.* (xy_y - ml) * (c * mlp - 1. / s2ph) - mlp - mlp ));
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if (fabs(dPhi) <= i_tolerance)
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break;
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}
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if (!i) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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c = sin(lp_lat);
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lp_lon = asin(xy_x * tan(lp_lat) * sqrt(1. - par.es * c * c)) / sin(lp_lat);
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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 "poly_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_poly_spheroid
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{
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par_poly<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& 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 cot, E;
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if (fabs(lp_lat) <= tolerance) {
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xy_x = lp_lon;
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xy_y = this->m_proj_parm.ml0;
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} else {
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cot = 1. / tan(lp_lat);
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xy_x = sin(E = lp_lon * sin(lp_lat)) * cot;
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xy_y = lp_lat - par.phi0 + cot * (1. - cos(E));
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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 const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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T B, dphi, tp;
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int i;
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if (fabs(xy_y = par.phi0 + xy_y) <= tolerance) {
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lp_lon = xy_x;
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lp_lat = 0.;
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} else {
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lp_lat = xy_y;
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B = xy_x * xy_x + xy_y * xy_y;
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i = n_iter;
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do {
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tp = tan(lp_lat);
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lp_lat -= (dphi = (xy_y * (lp_lat * tp + 1.) - lp_lat -
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.5 * ( lp_lat * lp_lat + B) * tp) /
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((lp_lat - xy_y) / tp - 1.));
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} while (fabs(dphi) > conv_tolerance && --i);
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if (! i) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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lp_lon = asin(xy_x * tan(lp_lat)) / sin(lp_lat);
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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 "poly_spheroid";
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}
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};
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// Polyconic (American)
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template <typename Parameters, typename T>
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inline void setup_poly(Parameters const& par, par_poly<T>& proj_parm)
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{
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if (par.es != 0.0) {
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proj_parm.en = pj_enfn<T>(par.es);
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proj_parm.ml0 = pj_mlfn(par.phi0, sin(par.phi0), cos(par.phi0), proj_parm.en);
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} else {
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proj_parm.ml0 = -par.phi0;
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}
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}
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}} // namespace detail::poly
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#endif // doxygen
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/*!
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\brief Polyconic (American) 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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- Conic
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_poly.gif
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*/
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template <typename T, typename Parameters>
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struct poly_ellipsoid : public detail::poly::base_poly_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline poly_ellipsoid(Params const& , Parameters const& par)
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{
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detail::poly::setup_poly(par, this->m_proj_parm);
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}
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};
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/*!
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\brief Polyconic (American) 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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- Conic
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_poly.gif
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*/
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template <typename T, typename Parameters>
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struct poly_spheroid : public detail::poly::base_poly_spheroid<T, Parameters>
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{
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template <typename Params>
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inline poly_spheroid(Params const& , Parameters const& par)
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{
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detail::poly::setup_poly(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_FI2(srs::spar::proj_poly, poly_spheroid, poly_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(poly_entry, poly_spheroid, poly_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(poly_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(poly, poly_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_POLY_HPP
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