290 lines
12 KiB
C++
290 lines
12 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_CHAMB_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_CHAMB_HPP
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#include <cstdio>
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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_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 chamb
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{
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//static const double third = 0.333333333333333333;
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static const double tolerance = 1e-9;
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// specific for 'chamb'
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template <typename T>
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struct vect_ra { T r, Az; };
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template <typename T>
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struct point_xy { T x, y; };
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template <typename T>
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struct par_chamb
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{
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struct { /* control point data */
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T phi, lam;
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T cosphi, sinphi;
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vect_ra<T> v;
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point_xy<T> p;
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T Az;
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} c[3];
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point_xy<T> p;
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T beta_0, beta_1, beta_2;
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};
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/* distance and azimuth from point 1 to point 2 */
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template <typename T>
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inline vect_ra<T> vect(T const& dphi, T const& c1, T const& s1, T const& c2, T const& s2, T const& dlam)
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{
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vect_ra<T> v;
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T cdl, dp, dl;
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cdl = cos(dlam);
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if (fabs(dphi) > 1. || fabs(dlam) > 1.)
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v.r = aacos(s1 * s2 + c1 * c2 * cdl);
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else { /* more accurate for smaller distances */
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dp = sin(.5 * dphi);
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dl = sin(.5 * dlam);
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v.r = 2. * aasin(sqrt(dp * dp + c1 * c2 * dl * dl));
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}
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if (fabs(v.r) > tolerance)
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v.Az = atan2(c2 * sin(dlam), c1 * s2 - s1 * c2 * cdl);
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else
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v.r = v.Az = 0.;
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return v;
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}
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/* law of cosines */
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template <typename T>
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inline T lc(T const& b, T const& c, T const& a)
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{
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return aacos(.5 * (b * b + c * c - a * a) / (b * c));
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}
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template <typename T, typename Parameters>
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struct base_chamb_spheroid
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{
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par_chamb<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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static const T third = detail::third<T>();
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T sinphi, cosphi, a;
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vect_ra<T> v[3];
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int i, j;
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sinphi = sin(lp_lat);
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cosphi = cos(lp_lat);
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for (i = 0; i < 3; ++i) { /* dist/azimiths from control */
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v[i] = vect(lp_lat - this->m_proj_parm.c[i].phi, this->m_proj_parm.c[i].cosphi, this->m_proj_parm.c[i].sinphi,
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cosphi, sinphi, lp_lon - this->m_proj_parm.c[i].lam);
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if (v[i].r == 0.0)
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break;
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v[i].Az = adjlon(v[i].Az - this->m_proj_parm.c[i].v.Az);
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}
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if (i < 3) /* current point at control point */
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{ xy_x = this->m_proj_parm.c[i].p.x; xy_y = this->m_proj_parm.c[i].p.y; }
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else { /* point mean of intersepts */
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{ xy_x = this->m_proj_parm.p.x; xy_y = this->m_proj_parm.p.y; }
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for (i = 0; i < 3; ++i) {
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j = i == 2 ? 0 : i + 1;
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a = lc(this->m_proj_parm.c[i].v.r, v[i].r, v[j].r);
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if (v[i].Az < 0.)
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a = -a;
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if (! i) { /* coord comp unique to each arc */
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xy_x += v[i].r * cos(a);
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xy_y -= v[i].r * sin(a);
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} else if (i == 1) {
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a = this->m_proj_parm.beta_1 - a;
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xy_x -= v[i].r * cos(a);
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xy_y -= v[i].r * sin(a);
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} else {
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a = this->m_proj_parm.beta_2 - a;
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xy_x += v[i].r * cos(a);
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xy_y += v[i].r * sin(a);
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}
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}
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xy_x *= third; /* mean of arc intercepts */
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xy_y *= third;
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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 "chamb_spheroid";
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}
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};
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template <typename T>
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inline T chamb_init_lat(srs::detail::proj4_parameters const& params, int i)
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{
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static const std::string lat[3] = {"lat_1", "lat_2", "lat_3"};
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return _pj_get_param_r<T>(params, lat[i]);
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}
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template <typename T>
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inline T chamb_init_lat(srs::dpar::parameters<T> const& params, int i)
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{
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static const srs::dpar::name_r lat[3] = {srs::dpar::lat_1, srs::dpar::lat_2, srs::dpar::lat_3};
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return _pj_get_param_r<T>(params, lat[i]);
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}
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template <typename T>
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inline T chamb_init_lon(srs::detail::proj4_parameters const& params, int i)
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{
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static const std::string lon[3] = {"lon_1", "lon_2", "lon_3"};
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return _pj_get_param_r<T>(params, lon[i]);
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}
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template <typename T>
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inline T chamb_init_lon(srs::dpar::parameters<T> const& params, int i)
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{
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static const srs::dpar::name_r lon[3] = {srs::dpar::lon_1, srs::dpar::lon_2, srs::dpar::lon_3};
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return _pj_get_param_r<T>(params, lon[i]);
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}
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// Chamberlin Trimetric
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template <typename Params, typename Parameters, typename T>
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inline void setup_chamb(Params const& params, Parameters& par, par_chamb<T>& proj_parm)
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{
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static const T pi = detail::pi<T>();
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int i, j;
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for (i = 0; i < 3; ++i) { /* get control point locations */
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proj_parm.c[i].phi = chamb_init_lat<T>(params, i);
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proj_parm.c[i].lam = chamb_init_lon<T>(params, i);
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proj_parm.c[i].lam = adjlon(proj_parm.c[i].lam - par.lam0);
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proj_parm.c[i].cosphi = cos(proj_parm.c[i].phi);
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proj_parm.c[i].sinphi = sin(proj_parm.c[i].phi);
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}
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for (i = 0; i < 3; ++i) { /* inter ctl pt. distances and azimuths */
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j = i == 2 ? 0 : i + 1;
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proj_parm.c[i].v = vect(proj_parm.c[j].phi - proj_parm.c[i].phi, proj_parm.c[i].cosphi, proj_parm.c[i].sinphi,
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proj_parm.c[j].cosphi, proj_parm.c[j].sinphi, proj_parm.c[j].lam - proj_parm.c[i].lam);
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if (proj_parm.c[i].v.r == 0.0)
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BOOST_THROW_EXCEPTION( projection_exception(error_control_point_no_dist) );
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/* co-linearity problem ignored for now */
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}
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proj_parm.beta_0 = lc(proj_parm.c[0].v.r, proj_parm.c[2].v.r, proj_parm.c[1].v.r);
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proj_parm.beta_1 = lc(proj_parm.c[0].v.r, proj_parm.c[1].v.r, proj_parm.c[2].v.r);
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proj_parm.beta_2 = pi - proj_parm.beta_0;
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proj_parm.p.y = 2. * (proj_parm.c[0].p.y = proj_parm.c[1].p.y = proj_parm.c[2].v.r * sin(proj_parm.beta_0));
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proj_parm.c[2].p.y = 0.;
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proj_parm.c[0].p.x = - (proj_parm.c[1].p.x = 0.5 * proj_parm.c[0].v.r);
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proj_parm.p.x = proj_parm.c[2].p.x = proj_parm.c[0].p.x + proj_parm.c[2].v.r * cos(proj_parm.beta_0);
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par.es = 0.;
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}
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}} // namespace detail::chamb
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#endif // doxygen
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/*!
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\brief Chamberlin Trimetric 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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- Miscellaneous
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- Spheroid
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- no inverse
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\par Projection parameters
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- lat_1: Latitude of control point 1 (degrees)
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- lon_1: Longitude of control point 1 (degrees)
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- lat_2: Latitude of control point 2 (degrees)
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- lon_2: Longitude of control point 2 (degrees)
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- lat_3: Latitude of control point 3 (degrees)
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- lon_3: Longitude of control point 3 (degrees)
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\par Example
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\image html ex_chamb.gif
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*/
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template <typename T, typename Parameters>
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struct chamb_spheroid : public detail::chamb::base_chamb_spheroid<T, Parameters>
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{
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template <typename Params>
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inline chamb_spheroid(Params const& params, Parameters & par)
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{
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detail::chamb::setup_chamb(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_F(srs::spar::proj_chamb, chamb_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(chamb_entry, chamb_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(chamb_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(chamb, chamb_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_CHAMB_HPP
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