337 lines
14 KiB
C++
337 lines
14 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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// Author: Gerald Evenden (1995)
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// Thomas Knudsen (2016) - revise/add regression tests
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// Last updated version of proj: 5.0.0
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// Original copyright notice:
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// Purpose: Implementation of the aea (Albers Equal Area) projection.
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// Author: Gerald Evenden
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// Copyright (c) 1995, Gerald Evenden
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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_AEA_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_AEA_HPP
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#include <boost/core/ignore_unused.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_mlfn.hpp>
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#include <boost/geometry/srs/projections/impl/pj_msfn.hpp>
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#include <boost/geometry/srs/projections/impl/pj_param.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 aea
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{
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static const double epsilon10 = 1.e-10;
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static const double tolerance7 = 1.e-7;
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static const double epsilon = 1.0e-7;
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static const double tolerance = 1.0e-10;
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static const int n_iter = 15;
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template <typename T>
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struct par_aea
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{
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T ec;
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T n;
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T c;
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T dd;
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T n2;
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T rho0;
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T phi1;
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T phi2;
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detail::en<T> en;
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bool ellips;
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};
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/* determine latitude angle phi-1 */
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template <typename T>
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inline T phi1_(T const& qs, T const& Te, T const& Tone_es)
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{
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int i;
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T Phi, sinpi, cospi, con, com, dphi;
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Phi = asin (.5 * qs);
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if (Te < epsilon)
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return( Phi );
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i = n_iter;
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do {
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sinpi = sin (Phi);
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cospi = cos (Phi);
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con = Te * sinpi;
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com = 1. - con * con;
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dphi = .5 * com * com / cospi * (qs / Tone_es -
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sinpi / com + .5 / Te * log ((1. - con) /
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(1. + con)));
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Phi += dphi;
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} while (fabs(dphi) > tolerance && --i);
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return( i ? Phi : HUGE_VAL );
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}
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template <typename T, typename Parameters>
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struct base_aea_ellipsoid
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{
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par_aea<T> m_proj_parm;
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// FORWARD(e_forward) ellipsoid & 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 lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T rho = this->m_proj_parm.c - (this->m_proj_parm.ellips
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? this->m_proj_parm.n * pj_qsfn(sin(lp_lat), par.e, par.one_es)
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: this->m_proj_parm.n2 * sin(lp_lat));
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if (rho < 0.)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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rho = this->m_proj_parm.dd * sqrt(rho);
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xy_x = rho * sin( lp_lon *= this->m_proj_parm.n );
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xy_y = this->m_proj_parm.rho0 - rho * cos(lp_lon);
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}
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// INVERSE(e_inverse) ellipsoid & 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 rho = 0.0;
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if( (rho = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.rho0 - xy_y)) != 0.0 ) {
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if (this->m_proj_parm.n < 0.) {
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rho = -rho;
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xy_x = -xy_x;
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xy_y = -xy_y;
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}
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lp_lat = rho / this->m_proj_parm.dd;
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if (this->m_proj_parm.ellips) {
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lp_lat = (this->m_proj_parm.c - lp_lat * lp_lat) / this->m_proj_parm.n;
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if (fabs(this->m_proj_parm.ec - fabs(lp_lat)) > tolerance7) {
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if ((lp_lat = phi1_(lp_lat, par.e, par.one_es)) == HUGE_VAL)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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} else
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lp_lat = lp_lat < 0. ? -half_pi : half_pi;
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} else if (fabs(lp_lat = (this->m_proj_parm.c - lp_lat * lp_lat) / this->m_proj_parm.n2) <= 1.)
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lp_lat = asin(lp_lat);
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else
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lp_lat = lp_lat < 0. ? -half_pi : half_pi;
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lp_lon = atan2(xy_x, xy_y) / this->m_proj_parm.n;
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} else {
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lp_lon = 0.;
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lp_lat = this->m_proj_parm.n > 0. ? half_pi : - half_pi;
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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 "aea_ellipsoid";
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}
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};
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template <typename Parameters, typename T>
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inline void setup(Parameters const& par, par_aea<T>& proj_parm)
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{
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T cosphi, sinphi;
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int secant;
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if (fabs(proj_parm.phi1 + proj_parm.phi2) < epsilon10)
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BOOST_THROW_EXCEPTION( projection_exception(error_conic_lat_equal) );
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proj_parm.n = sinphi = sin(proj_parm.phi1);
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cosphi = cos(proj_parm.phi1);
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secant = fabs(proj_parm.phi1 - proj_parm.phi2) >= epsilon10;
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if( (proj_parm.ellips = (par.es > 0.))) {
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T ml1, m1;
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proj_parm.en = pj_enfn<T>(par.es);
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m1 = pj_msfn(sinphi, cosphi, par.es);
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ml1 = pj_qsfn(sinphi, par.e, par.one_es);
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if (secant) { /* secant cone */
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T ml2, m2;
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sinphi = sin(proj_parm.phi2);
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cosphi = cos(proj_parm.phi2);
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m2 = pj_msfn(sinphi, cosphi, par.es);
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ml2 = pj_qsfn(sinphi, par.e, par.one_es);
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if (ml2 == ml1)
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BOOST_THROW_EXCEPTION( projection_exception(0) );
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proj_parm.n = (m1 * m1 - m2 * m2) / (ml2 - ml1);
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}
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proj_parm.ec = 1. - .5 * par.one_es * log((1. - par.e) /
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(1. + par.e)) / par.e;
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proj_parm.c = m1 * m1 + proj_parm.n * ml1;
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proj_parm.dd = 1. / proj_parm.n;
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proj_parm.rho0 = proj_parm.dd * sqrt(proj_parm.c - proj_parm.n * pj_qsfn(sin(par.phi0),
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par.e, par.one_es));
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} else {
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if (secant) proj_parm.n = .5 * (proj_parm.n + sin(proj_parm.phi2));
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proj_parm.n2 = proj_parm.n + proj_parm.n;
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proj_parm.c = cosphi * cosphi + proj_parm.n2 * sinphi;
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proj_parm.dd = 1. / proj_parm.n;
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proj_parm.rho0 = proj_parm.dd * sqrt(proj_parm.c - proj_parm.n2 * sin(par.phi0));
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}
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}
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// Albers Equal Area
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template <typename Params, typename Parameters, typename T>
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inline void setup_aea(Params const& params, Parameters const& par, par_aea<T>& proj_parm)
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{
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proj_parm.phi1 = 0.0;
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proj_parm.phi2 = 0.0;
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bool is_phi1_set = pj_param_r<srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1, proj_parm.phi1);
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bool is_phi2_set = pj_param_r<srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2, proj_parm.phi2);
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// Boost.Geometry specific, set default parameters manually
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if (! is_phi1_set || ! is_phi2_set) {
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bool const use_defaults = ! pj_get_param_b<srs::spar::no_defs>(params, "no_defs", srs::dpar::no_defs);
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if (use_defaults) {
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if (!is_phi1_set)
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proj_parm.phi1 = 29.5;
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if (!is_phi2_set)
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proj_parm.phi2 = 45.5;
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}
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}
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setup(par, proj_parm);
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}
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// Lambert Equal Area Conic
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template <typename Params, typename Parameters, typename T>
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inline void setup_leac(Params const& params, Parameters const& par, par_aea<T>& proj_parm)
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{
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static const T half_pi = detail::half_pi<T>();
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proj_parm.phi2 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
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proj_parm.phi1 = pj_get_param_b<srs::spar::south>(params, "south", srs::dpar::south) ? -half_pi : half_pi;
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setup(par, proj_parm);
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}
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}} // namespace detail::aea
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#endif // doxygen
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/*!
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\brief Albers 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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- Conic
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- Spheroid
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- Ellipsoid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel (degrees)
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- lat_2: Latitude of second standard parallel (degrees)
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\par Example
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\image html ex_aea.gif
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*/
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template <typename T, typename Parameters>
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struct aea_ellipsoid : public detail::aea::base_aea_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline aea_ellipsoid(Params const& params, Parameters const& par)
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{
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detail::aea::setup_aea(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Lambert Equal Area Conic 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 Projection parameters
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- lat_1: Latitude of first standard parallel (degrees)
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- south: Denotes southern hemisphere UTM zone (boolean)
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\par Example
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\image html ex_leac.gif
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*/
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template <typename T, typename Parameters>
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struct leac_ellipsoid : public detail::aea::base_aea_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline leac_ellipsoid(Params const& params, Parameters const& par)
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{
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detail::aea::setup_leac(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_aea, aea_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_leac, leac_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(aea_entry, aea_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(leac_entry, leac_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(aea_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(aea, aea_entry)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(leac, leac_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_AEA_HPP
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