375 lines
14 KiB
C++
375 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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// 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_GN_SINU_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_GN_SINU_HPP
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#include <boost/geometry/srs/projections/impl/aasincos.hpp>
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#include <boost/geometry/srs/projections/impl/base_static.hpp>
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#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/pj_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 gn_sinu
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{
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static const double epsilon10 = 1e-10;
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static const int max_iter = 8;
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static const double loop_tol = 1e-7;
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template <typename T>
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struct par_gn_sinu_e
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{
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detail::en<T> en;
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};
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template <typename T>
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struct par_gn_sinu_s
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{
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T m, n, C_x, C_y;
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};
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/* Ellipsoidal Sinusoidal only */
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template <typename T, typename Parameters>
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struct base_gn_sinu_ellipsoid
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{
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par_gn_sinu_e<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 s, c;
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xy_y = pj_mlfn(lp_lat, s = sin(lp_lat), c = cos(lp_lat), this->m_proj_parm.en);
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xy_x = lp_lon * c / sqrt(1. - par.es * s * s);
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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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static const T half_pi = detail::half_pi<T>();
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T s;
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if ((s = fabs(lp_lat = pj_inv_mlfn(xy_y, par.es, this->m_proj_parm.en))) < half_pi) {
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s = sin(lp_lat);
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lp_lon = xy_x * sqrt(1. - par.es * s * s) / cos(lp_lat);
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} else if ((s - epsilon10) < half_pi)
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lp_lon = 0.;
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else
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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/* General spherical sinusoidals */
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static inline std::string get_name()
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{
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return "gn_sinu_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_gn_sinu_spheroid
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{
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par_gn_sinu_s<T> m_proj_parm;
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// FORWARD(s_forward) sphere
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
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{
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if (this->m_proj_parm.m == 0.0)
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lp_lat = this->m_proj_parm.n != 1. ? aasin(this->m_proj_parm.n * sin(lp_lat)): lp_lat;
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else {
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T k, V;
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int i;
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k = this->m_proj_parm.n * sin(lp_lat);
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for (i = max_iter; i ; --i) {
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lp_lat -= V = (this->m_proj_parm.m * lp_lat + sin(lp_lat) - k) /
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(this->m_proj_parm.m + cos(lp_lat));
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if (fabs(V) < loop_tol)
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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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}
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xy_x = this->m_proj_parm.C_x * lp_lon * (this->m_proj_parm.m + cos(lp_lat));
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xy_y = this->m_proj_parm.C_y * lp_lat;
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}
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// INVERSE(s_inverse) sphere
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& , T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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xy_y /= this->m_proj_parm.C_y;
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lp_lat = (this->m_proj_parm.m != 0.0) ? aasin((this->m_proj_parm.m * xy_y + sin(xy_y)) / this->m_proj_parm.n) :
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( this->m_proj_parm.n != 1. ? aasin(sin(xy_y) / this->m_proj_parm.n) : xy_y );
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lp_lon = xy_x / (this->m_proj_parm.C_x * (this->m_proj_parm.m + cos(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 "gn_sinu_spheroid";
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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& par, par_gn_sinu_s<T>& proj_parm)
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{
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par.es = 0;
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proj_parm.C_x = (proj_parm.C_y = sqrt((proj_parm.m + 1.) / proj_parm.n))/(proj_parm.m + 1.);
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}
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// General Sinusoidal Series
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template <typename Params, typename Parameters, typename T>
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inline void setup_gn_sinu(Params const& params, Parameters& par, par_gn_sinu_s<T>& proj_parm)
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{
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if (pj_param_f<srs::spar::n>(params, "n", srs::dpar::n, proj_parm.n)
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&& pj_param_f<srs::spar::m>(params, "m", srs::dpar::m, proj_parm.m)) {
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if (proj_parm.n <= 0 || proj_parm.m < 0)
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BOOST_THROW_EXCEPTION( projection_exception(error_invalid_m_or_n) );
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} else
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BOOST_THROW_EXCEPTION( projection_exception(error_invalid_m_or_n) );
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setup(par, proj_parm);
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}
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// Sinusoidal (Sanson-Flamsteed)
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template <typename Parameters, typename T>
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inline void setup_sinu(Parameters const& par, par_gn_sinu_e<T>& proj_parm)
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{
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proj_parm.en = pj_enfn<T>(par.es);
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}
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// Sinusoidal (Sanson-Flamsteed)
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template <typename Parameters, typename T>
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inline void setup_sinu(Parameters& par, par_gn_sinu_s<T>& proj_parm)
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{
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proj_parm.n = 1.;
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proj_parm.m = 0.;
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setup(par, proj_parm);
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}
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// Eckert VI
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template <typename Parameters, typename T>
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inline void setup_eck6(Parameters& par, par_gn_sinu_s<T>& proj_parm)
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{
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proj_parm.m = 1.;
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proj_parm.n = 2.570796326794896619231321691;
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setup(par, proj_parm);
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}
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// McBryde-Thomas Flat-Polar Sinusoidal
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template <typename Parameters, typename T>
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inline void setup_mbtfps(Parameters& par, par_gn_sinu_s<T>& proj_parm)
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{
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proj_parm.m = 0.5;
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proj_parm.n = 1.785398163397448309615660845;
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setup(par, proj_parm);
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}
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}} // namespace detail::gn_sinu
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#endif // doxygen
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/*!
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\brief General Sinusoidal Series 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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- Pseudocylindrical
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- Spheroid
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\par Projection parameters
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- m (real)
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- n (real)
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\par Example
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\image html ex_gn_sinu.gif
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*/
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template <typename T, typename Parameters>
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struct gn_sinu_spheroid : public detail::gn_sinu::base_gn_sinu_spheroid<T, Parameters>
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{
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template <typename Params>
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inline gn_sinu_spheroid(Params const& params, Parameters & par)
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{
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detail::gn_sinu::setup_gn_sinu(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Sinusoidal (Sanson-Flamsteed) 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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- Pseudocylindrical
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_sinu.gif
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*/
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template <typename T, typename Parameters>
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struct sinu_ellipsoid : public detail::gn_sinu::base_gn_sinu_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline sinu_ellipsoid(Params const& , Parameters & par)
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{
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detail::gn_sinu::setup_sinu(par, this->m_proj_parm);
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}
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};
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/*!
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\brief Sinusoidal (Sanson-Flamsteed) 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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- Pseudocylindrical
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_sinu.gif
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*/
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template <typename T, typename Parameters>
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struct sinu_spheroid : public detail::gn_sinu::base_gn_sinu_spheroid<T, Parameters>
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{
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template <typename Params>
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inline sinu_spheroid(Params const& , Parameters & par)
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{
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detail::gn_sinu::setup_sinu(par, this->m_proj_parm);
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}
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};
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/*!
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\brief Eckert VI 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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- Pseudocylindrical
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- Spheroid
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\par Example
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\image html ex_eck6.gif
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*/
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template <typename T, typename Parameters>
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struct eck6_spheroid : public detail::gn_sinu::base_gn_sinu_spheroid<T, Parameters>
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{
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template <typename Params>
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inline eck6_spheroid(Params const& , Parameters & par)
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{
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detail::gn_sinu::setup_eck6(par, this->m_proj_parm);
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}
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};
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/*!
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\brief McBryde-Thomas Flat-Polar Sinusoidal 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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- Pseudocylindrical
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- Spheroid
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\par Example
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\image html ex_mbtfps.gif
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*/
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template <typename T, typename Parameters>
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struct mbtfps_spheroid : public detail::gn_sinu::base_gn_sinu_spheroid<T, Parameters>
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{
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template <typename Params>
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inline mbtfps_spheroid(Params const& , Parameters & par)
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{
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detail::gn_sinu::setup_mbtfps(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_gn_sinu, gn_sinu_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_sinu, sinu_spheroid, sinu_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_eck6, eck6_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfps, mbtfps_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(gn_sinu_entry, gn_sinu_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(sinu_entry, sinu_spheroid, sinu_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(eck6_entry, eck6_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfps_entry, mbtfps_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(gn_sinu_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(gn_sinu, gn_sinu_entry);
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(sinu, sinu_entry);
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(eck6, eck6_entry);
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfps, mbtfps_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_GN_SINU_HPP
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