426 lines
17 KiB
C++
426 lines
17 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_LAEA_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_LAEA_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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#include <boost/geometry/srs/projections/impl/pj_auth.hpp>
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#include <boost/geometry/srs/projections/impl/pj_qsfn.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 laea
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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_laea
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{
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T sinb1;
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T cosb1;
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T xmf;
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T ymf;
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T mmf;
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T qp;
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T dd;
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T rq;
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detail::apa<T> apa;
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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_laea_ellipsoid
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{
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par_laea<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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static const T half_pi = detail::half_pi<T>();
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T coslam, sinlam, sinphi, q, sinb=0.0, cosb=0.0, b=0.0;
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coslam = cos(lp_lon);
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sinlam = sin(lp_lon);
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sinphi = sin(lp_lat);
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q = pj_qsfn(sinphi, par.e, par.one_es);
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if (this->m_proj_parm.mode == obliq || this->m_proj_parm.mode == equit) {
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sinb = q / this->m_proj_parm.qp;
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cosb = sqrt(1. - sinb * sinb);
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}
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switch (this->m_proj_parm.mode) {
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case obliq:
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b = 1. + this->m_proj_parm.sinb1 * sinb + this->m_proj_parm.cosb1 * cosb * coslam;
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break;
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case equit:
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b = 1. + cosb * coslam;
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break;
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case n_pole:
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b = half_pi + lp_lat;
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q = this->m_proj_parm.qp - q;
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break;
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case s_pole:
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b = lp_lat - half_pi;
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q = this->m_proj_parm.qp + q;
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break;
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}
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if (fabs(b) < epsilon10) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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switch (this->m_proj_parm.mode) {
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case obliq:
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b = sqrt(2. / b);
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xy_y = this->m_proj_parm.ymf * b * (this->m_proj_parm.cosb1 * sinb - this->m_proj_parm.sinb1 * cosb * coslam);
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goto eqcon;
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break;
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case equit:
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b = sqrt(2. / (1. + cosb * coslam));
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xy_y = b * sinb * this->m_proj_parm.ymf;
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eqcon:
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xy_x = this->m_proj_parm.xmf * b * cosb * sinlam;
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break;
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case n_pole:
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case s_pole:
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if (q >= 0.) {
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b = sqrt(q);
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xy_x = b * sinlam;
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xy_y = coslam * (this->m_proj_parm.mode == s_pole ? b : -b);
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} else
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xy_x = xy_y = 0.;
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break;
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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 xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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T cCe, sCe, q, rho, ab=0.0;
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switch (this->m_proj_parm.mode) {
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case equit:
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case obliq:
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xy_x /= this->m_proj_parm.dd;
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xy_y *= this->m_proj_parm.dd;
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rho = boost::math::hypot(xy_x, xy_y);
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if (rho < epsilon10) {
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lp_lon = 0.;
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lp_lat = par.phi0;
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return;
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}
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sCe = 2. * asin(.5 * rho / this->m_proj_parm.rq);
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cCe = cos(sCe);
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sCe = sin(sCe);
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xy_x *= sCe;
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if (this->m_proj_parm.mode == obliq) {
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ab = cCe * this->m_proj_parm.sinb1 + xy_y * sCe * this->m_proj_parm.cosb1 / rho;
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xy_y = rho * this->m_proj_parm.cosb1 * cCe - xy_y * this->m_proj_parm.sinb1 * sCe;
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} else {
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ab = xy_y * sCe / rho;
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xy_y = rho * cCe;
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}
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break;
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case n_pole:
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xy_y = -xy_y;
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BOOST_FALLTHROUGH;
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case s_pole:
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q = (xy_x * xy_x + xy_y * xy_y);
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if (q == 0.0) {
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lp_lon = 0.;
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lp_lat = par.phi0;
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return;
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}
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ab = 1. - q / this->m_proj_parm.qp;
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if (this->m_proj_parm.mode == s_pole)
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ab = - ab;
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break;
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}
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lp_lon = atan2(xy_x, xy_y);
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lp_lat = pj_authlat(asin(ab), this->m_proj_parm.apa);
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}
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static inline std::string get_name()
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{
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return "laea_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_laea_spheroid
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{
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par_laea<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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static const T fourth_pi = detail::fourth_pi<T>();
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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 = 1. + cosphi * coslam;
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goto oblcon;
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case obliq:
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xy_y = 1. + this->m_proj_parm.sinb1 * sinphi + this->m_proj_parm.cosb1 * cosphi * coslam;
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oblcon:
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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_y = sqrt(2. / xy_y);
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xy_x = xy_y * cosphi * sin(lp_lon);
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xy_y *= this->m_proj_parm.mode == equit ? sinphi :
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this->m_proj_parm.cosb1 * sinphi - this->m_proj_parm.sinb1 * 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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if (fabs(lp_lat + par.phi0) < epsilon10) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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xy_y = fourth_pi - lp_lat * .5;
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xy_y = 2. * (this->m_proj_parm.mode == s_pole ? cos(xy_y) : sin(xy_y));
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xy_x = xy_y * sin(lp_lon);
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xy_y *= 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 cosz=0.0, rh, sinz=0.0;
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rh = boost::math::hypot(xy_x, xy_y);
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if ((lp_lat = rh * .5 ) > 1.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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lp_lat = 2. * asin(lp_lat);
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if (this->m_proj_parm.mode == obliq || this->m_proj_parm.mode == equit) {
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sinz = sin(lp_lat);
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cosz = cos(lp_lat);
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}
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switch (this->m_proj_parm.mode) {
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case equit:
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lp_lat = fabs(rh) <= epsilon10 ? 0. : asin(xy_y * sinz / rh);
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xy_x *= sinz;
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xy_y = cosz * rh;
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break;
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case obliq:
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lp_lat = fabs(rh) <= epsilon10 ? par.phi0 :
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asin(cosz * this->m_proj_parm.sinb1 + xy_y * sinz * this->m_proj_parm.cosb1 / rh);
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xy_x *= sinz * this->m_proj_parm.cosb1;
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xy_y = (cosz - sin(lp_lat) * this->m_proj_parm.sinb1) * rh;
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break;
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case n_pole:
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xy_y = -xy_y;
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lp_lat = half_pi - lp_lat;
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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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}
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lp_lon = (xy_y == 0. && (this->m_proj_parm.mode == equit || this->m_proj_parm.mode == obliq)) ?
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0. : atan2(xy_x, xy_y);
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}
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static inline std::string get_name()
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{
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return "laea_spheroid";
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}
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};
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// Lambert Azimuthal Equal Area
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template <typename Parameters, typename T>
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inline void setup_laea(Parameters& par, par_laea<T>& proj_parm)
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{
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static const T half_pi = detail::half_pi<T>();
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T t;
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t = fabs(par.phi0);
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if (fabs(t - half_pi) < epsilon10)
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proj_parm.mode = par.phi0 < 0. ? s_pole : n_pole;
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else if (fabs(t) < 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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if (par.es != 0.0) {
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double sinphi;
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par.e = sqrt(par.es); // TODO : Isn't it already set?
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proj_parm.qp = pj_qsfn(1., par.e, par.one_es);
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proj_parm.mmf = .5 / (1. - par.es);
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proj_parm.apa = pj_authset<T>(par.es);
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switch (proj_parm.mode) {
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case n_pole:
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case s_pole:
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proj_parm.dd = 1.;
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break;
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case equit:
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proj_parm.dd = 1. / (proj_parm.rq = sqrt(.5 * proj_parm.qp));
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proj_parm.xmf = 1.;
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proj_parm.ymf = .5 * proj_parm.qp;
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break;
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case obliq:
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proj_parm.rq = sqrt(.5 * proj_parm.qp);
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sinphi = sin(par.phi0);
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proj_parm.sinb1 = pj_qsfn(sinphi, par.e, par.one_es) / proj_parm.qp;
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proj_parm.cosb1 = sqrt(1. - proj_parm.sinb1 * proj_parm.sinb1);
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proj_parm.dd = cos(par.phi0) / (sqrt(1. - par.es * sinphi * sinphi) *
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proj_parm.rq * proj_parm.cosb1);
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proj_parm.ymf = (proj_parm.xmf = proj_parm.rq) / proj_parm.dd;
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proj_parm.xmf *= proj_parm.dd;
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break;
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}
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} else {
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if (proj_parm.mode == obliq) {
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proj_parm.sinb1 = sin(par.phi0);
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proj_parm.cosb1 = cos(par.phi0);
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}
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}
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}
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}} // namespace laea
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#endif // doxygen
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/*!
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\brief Lambert Azimuthal Equal Area 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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- Ellipsoid
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\par Example
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\image html ex_laea.gif
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*/
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template <typename T, typename Parameters>
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struct laea_ellipsoid : public detail::laea::base_laea_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline laea_ellipsoid(Params const& , Parameters & par)
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{
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detail::laea::setup_laea(par, this->m_proj_parm);
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}
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};
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/*!
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\brief Lambert Azimuthal Equal Area 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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- Ellipsoid
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\par Example
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\image html ex_laea.gif
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*/
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template <typename T, typename Parameters>
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struct laea_spheroid : public detail::laea::base_laea_spheroid<T, Parameters>
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{
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template <typename Params>
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inline laea_spheroid(Params const& , Parameters & par)
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{
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detail::laea::setup_laea(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_laea, laea_spheroid, laea_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(laea_entry, laea_spheroid, laea_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(laea_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(laea, laea_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_LAEA_HPP
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