371 lines
15 KiB
C++
371 lines
15 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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// Copyright (c) 2004 Gerald I. Evenden
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// Copyright (c) 2012 Martin Raspaud
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// See also (section 4.4.3.2):
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// http://www.eumetsat.int/en/area4/msg/news/us_doc/cgms_03_26.pdf
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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_GEOS_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_GEOS_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_param.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 geos
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{
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template <typename T>
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struct par_geos
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{
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T h;
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T radius_p;
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T radius_p2;
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T radius_p_inv2;
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T radius_g;
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T radius_g_1;
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T C;
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bool flip_axis;
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};
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template <typename T, typename Parameters>
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struct base_geos_ellipsoid
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{
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par_geos<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& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
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{
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T r, Vx, Vy, Vz, tmp;
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/* Calculation of geocentric latitude. */
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lp_lat = atan (this->m_proj_parm.radius_p2 * tan (lp_lat));
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/* Calculation of the three components of the vector from satellite to
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** position on earth surface (lon,lat).*/
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r = (this->m_proj_parm.radius_p) / boost::math::hypot(this->m_proj_parm.radius_p * cos (lp_lat), sin (lp_lat));
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Vx = r * cos (lp_lon) * cos (lp_lat);
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Vy = r * sin (lp_lon) * cos (lp_lat);
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Vz = r * sin (lp_lat);
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/* Check visibility. */
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if (((this->m_proj_parm.radius_g - Vx) * Vx - Vy * Vy - Vz * Vz * this->m_proj_parm.radius_p_inv2) < 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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/* Calculation based on view angles from satellite. */
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tmp = this->m_proj_parm.radius_g - Vx;
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if(this->m_proj_parm.flip_axis) {
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xy_x = this->m_proj_parm.radius_g_1 * atan (Vy / boost::math::hypot (Vz, tmp));
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xy_y = this->m_proj_parm.radius_g_1 * atan (Vz / tmp);
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} else {
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xy_x = this->m_proj_parm.radius_g_1 * atan (Vy / tmp);
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xy_y = this->m_proj_parm.radius_g_1 * atan (Vz / boost::math::hypot (Vy, tmp));
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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& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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T Vx, Vy, Vz, a, b, det, k;
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/* Setting three components of vector from satellite to position.*/
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Vx = -1.0;
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if(this->m_proj_parm.flip_axis) {
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Vz = tan (xy_y / this->m_proj_parm.radius_g_1);
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Vy = tan (xy_x / this->m_proj_parm.radius_g_1) * boost::math::hypot(1.0, Vz);
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} else {
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Vy = tan (xy_x / this->m_proj_parm.radius_g_1);
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Vz = tan (xy_y / this->m_proj_parm.radius_g_1) * boost::math::hypot(1.0, Vy);
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}
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/* Calculation of terms in cubic equation and determinant.*/
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a = Vz / this->m_proj_parm.radius_p;
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a = Vy * Vy + a * a + Vx * Vx;
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b = 2 * this->m_proj_parm.radius_g * Vx;
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if ((det = (b * b) - 4 * a * this->m_proj_parm.C) < 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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/* Calculation of three components of vector from satellite to position.*/
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k = (-b - sqrt(det)) / (2. * a);
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Vx = this->m_proj_parm.radius_g + k * Vx;
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Vy *= k;
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Vz *= k;
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/* Calculation of longitude and latitude.*/
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lp_lon = atan2 (Vy, Vx);
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lp_lat = atan (Vz * cos (lp_lon) / Vx);
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lp_lat = atan (this->m_proj_parm.radius_p_inv2 * tan (lp_lat));
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}
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static inline std::string get_name()
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{
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return "geos_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_geos_spheroid
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{
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par_geos<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& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T Vx, Vy, Vz, tmp;
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/* Calculation of the three components of the vector from satellite to
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** position on earth surface (lon,lat).*/
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tmp = cos(lp_lat);
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Vx = cos (lp_lon) * tmp;
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Vy = sin (lp_lon) * tmp;
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Vz = sin (lp_lat);
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/* Check visibility.*/
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// TODO: in proj4 5.0.0 this check is not present
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if (((this->m_proj_parm.radius_g - Vx) * Vx - Vy * Vy - Vz * Vz) < 0.)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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/* Calculation based on view angles from satellite.*/
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tmp = this->m_proj_parm.radius_g - Vx;
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if(this->m_proj_parm.flip_axis) {
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xy_x = this->m_proj_parm.radius_g_1 * atan(Vy / boost::math::hypot(Vz, tmp));
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xy_y = this->m_proj_parm.radius_g_1 * atan(Vz / tmp);
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} else {
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xy_x = this->m_proj_parm.radius_g_1 * atan(Vy / tmp);
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xy_y = this->m_proj_parm.radius_g_1 * atan(Vz / boost::math::hypot(Vy, tmp));
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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& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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T Vx, Vy, Vz, a, b, det, k;
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/* Setting three components of vector from satellite to position.*/
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Vx = -1.0;
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if(this->m_proj_parm.flip_axis) {
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Vz = tan (xy_y / (this->m_proj_parm.radius_g - 1.0));
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Vy = tan (xy_x / (this->m_proj_parm.radius_g - 1.0)) * sqrt (1.0 + Vz * Vz);
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} else {
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Vy = tan (xy_x / (this->m_proj_parm.radius_g - 1.0));
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Vz = tan (xy_y / (this->m_proj_parm.radius_g - 1.0)) * sqrt (1.0 + Vy * Vy);
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}
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/* Calculation of terms in cubic equation and determinant.*/
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a = Vy * Vy + Vz * Vz + Vx * Vx;
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b = 2 * this->m_proj_parm.radius_g * Vx;
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if ((det = (b * b) - 4 * a * this->m_proj_parm.C) < 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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/* Calculation of three components of vector from satellite to position.*/
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k = (-b - sqrt(det)) / (2 * a);
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Vx = this->m_proj_parm.radius_g + k * Vx;
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Vy *= k;
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Vz *= k;
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/* Calculation of longitude and latitude.*/
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lp_lon = atan2 (Vy, Vx);
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lp_lat = atan (Vz * cos (lp_lon) / Vx);
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}
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static inline std::string get_name()
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{
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return "geos_spheroid";
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}
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};
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inline bool geos_flip_axis(srs::detail::proj4_parameters const& params)
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{
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std::string sweep_axis = pj_get_param_s(params, "sweep");
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if (sweep_axis.empty())
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return false;
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else {
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if (sweep_axis[1] != '\0' || (sweep_axis[0] != 'x' && sweep_axis[0] != 'y'))
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BOOST_THROW_EXCEPTION( projection_exception(error_invalid_sweep_axis) );
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if (sweep_axis[0] == 'x')
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return true;
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else
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return false;
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}
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}
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template <typename T>
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inline bool geos_flip_axis(srs::dpar::parameters<T> const& params)
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{
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typename srs::dpar::parameters<T>::const_iterator
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it = pj_param_find(params, srs::dpar::sweep);
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if (it == params.end()) {
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return false;
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} else {
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srs::dpar::value_sweep s = static_cast<srs::dpar::value_sweep>(it->template get_value<int>());
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return s == srs::dpar::sweep_x;
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}
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}
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// Geostationary Satellite View
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template <typename Params, typename Parameters, typename T>
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inline void setup_geos(Params const& params, Parameters& par, par_geos<T>& proj_parm)
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{
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std::string sweep_axis;
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if ((proj_parm.h = pj_get_param_f<T, srs::spar::h>(params, "h", srs::dpar::h)) <= 0.)
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BOOST_THROW_EXCEPTION( projection_exception(error_h_less_than_zero) );
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if (par.phi0 != 0.0)
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BOOST_THROW_EXCEPTION( projection_exception(error_unknown_prime_meridian) );
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proj_parm.flip_axis = geos_flip_axis(params);
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proj_parm.radius_g_1 = proj_parm.h / par.a;
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proj_parm.radius_g = 1. + proj_parm.radius_g_1;
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proj_parm.C = proj_parm.radius_g * proj_parm.radius_g - 1.0;
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if (par.es != 0.0) {
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proj_parm.radius_p = sqrt (par.one_es);
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proj_parm.radius_p2 = par.one_es;
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proj_parm.radius_p_inv2 = par.rone_es;
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} else {
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proj_parm.radius_p = proj_parm.radius_p2 = proj_parm.radius_p_inv2 = 1.0;
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}
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}
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}} // namespace detail::geos
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#endif // doxygen
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/*!
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\brief Geostationary Satellite View 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 Projection parameters
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- h: Height (real)
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- sweep: Sweep axis ('x' or 'y') (string)
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\par Example
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\image html ex_geos.gif
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*/
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template <typename T, typename Parameters>
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struct geos_ellipsoid : public detail::geos::base_geos_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline geos_ellipsoid(Params const& params, Parameters const& par)
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{
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detail::geos::setup_geos(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Geostationary Satellite View 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 Projection parameters
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- h: Height (real)
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- sweep: Sweep axis ('x' or 'y') (string)
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\par Example
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\image html ex_geos.gif
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*/
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template <typename T, typename Parameters>
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struct geos_spheroid : public detail::geos::base_geos_spheroid<T, Parameters>
|
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{
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||
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template <typename Params>
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||
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inline geos_spheroid(Params const& params, Parameters const& par)
|
||
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{
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||
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|
detail::geos::setup_geos(params, par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
#ifndef DOXYGEN_NO_DETAIL
|
||
|
|
namespace detail
|
||
|
|
{
|
||
|
|
|
||
|
|
// Static projection
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_geos, geos_spheroid, geos_ellipsoid)
|
||
|
|
|
||
|
|
// Factory entry(s)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(geos_entry, geos_spheroid, geos_ellipsoid)
|
||
|
|
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(geos_init)
|
||
|
|
{
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(geos, geos_entry);
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
#endif // doxygen
|
||
|
|
|
||
|
|
} // namespace projections
|
||
|
|
|
||
|
|
}} // namespace boost::geometry
|
||
|
|
|
||
|
|
#endif // BOOST_GEOMETRY_PROJECTIONS_GEOS_HPP
|
||
|
|
|