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+#ifndef BOOST_GEOMETRY_PROJECTIONS_CHAMB_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_CHAMB_HPP
+
+// Boost.Geometry - extensions-gis-projections (based on PROJ4)
+// This file is automatically generated. DO NOT EDIT.
+
+// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
+
+// This file was modified by Oracle on 2017.
+// Modifications copyright (c) 2017, Oracle and/or its affiliates.
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
+
+// Use, modification and distribution is subject to the Boost Software License,
+// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+// This file is converted from PROJ4, http://trac.osgeo.org/proj
+// PROJ4 is originally written by Gerald Evenden (then of the USGS)
+// PROJ4 is maintained by Frank Warmerdam
+// PROJ4 is converted to Boost.Geometry by Barend Gehrels
+
+// Last updated version of proj: 4.9.1
+
+// Original copyright notice:
+
+// Permission is hereby granted, free of charge, to any person obtaining a
+// copy of this software and associated documentation files (the "Software"),
+// to deal in the Software without restriction, including without limitation
+// the rights to use, copy, modify, merge, publish, distribute, sublicense,
+// and/or sell copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following conditions:
+
+// The above copyright notice and this permission notice shall be included
+// in all copies or substantial portions of the Software.
+
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+// DEALINGS IN THE SOFTWARE.
+
+#include <boost/geometry/util/math.hpp>
+#include <cstdio>
+
+#include <boost/geometry/srs/projections/impl/base_static.hpp>
+#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
+#include <boost/geometry/srs/projections/impl/projects.hpp>
+#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
+#include <boost/geometry/srs/projections/impl/aasincos.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace srs { namespace par4
+{
+ struct chamb {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace chamb
+ {
+
+ //static const double THIRD = 0.333333333333333333;
+ static const double TOL = 1e-9;
+
+ // specific for 'chamb'
+ template <typename T>
+ struct VECT { T r, Az; };
+ template <typename T>
+ struct XY { T x, y; };
+
+ template <typename T>
+ struct par_chamb
+ {
+ struct { /* control point data */
+ T phi, lam;
+ T cosphi, sinphi;
+ VECT<T> v;
+ XY<T> p;
+ T Az;
+ } c[3];
+ XY<T> p;
+ T beta_0, beta_1, beta_2;
+ };
+
+ template <typename T>
+ inline VECT<T> /* distance and azimuth from point 1 to point 2 */
+ vect(T const& dphi, T const& c1, T const& s1, T const& c2, T const& s2, T const& dlam)
+ {
+ VECT<T> v;
+ T cdl, dp, dl;
+
+ cdl = cos(dlam);
+ if (fabs(dphi) > 1. || fabs(dlam) > 1.)
+ v.r = aacos(s1 * s2 + c1 * c2 * cdl);
+ else { /* more accurate for smaller distances */
+ dp = sin(.5 * dphi);
+ dl = sin(.5 * dlam);
+ v.r = 2. * aasin(sqrt(dp * dp + c1 * c2 * dl * dl));
+ }
+ if (fabs(v.r) > TOL)
+ v.Az = atan2(c2 * sin(dlam), c1 * s2 - s1 * c2 * cdl);
+ else
+ v.r = v.Az = 0.;
+ return v;
+ }
+
+ template <typename T>
+ inline T /* law of cosines */
+ lc(T const& b, T const& c, T const& a)
+ {
+ return aacos(.5 * (b * b + c * c - a * a) / (b * c));
+ }
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_chamb_spheroid : public base_t_f<base_chamb_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_chamb<CalculationType> m_proj_parm;
+
+ inline base_chamb_spheroid(const Parameters& par)
+ : base_t_f<base_chamb_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>(*this, par) {}
+
+ // FORWARD(s_forward) spheroid
+ // Project coordinates from geographic (lon, lat) to cartesian (x, y)
+ inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
+ {
+ static const CalculationType THIRD = detail::THIRD<CalculationType>();
+
+ CalculationType sinphi, cosphi, a;
+ VECT<CalculationType> v[3];
+ int i, j;
+
+ sinphi = sin(lp_lat);
+ cosphi = cos(lp_lat);
+ for (i = 0; i < 3; ++i) { /* dist/azimiths from control */
+ 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,
+ cosphi, sinphi, lp_lon - this->m_proj_parm.c[i].lam);
+ if ( ! v[i].r)
+ break;
+ v[i].Az = adjlon(v[i].Az - this->m_proj_parm.c[i].v.Az);
+ }
+ if (i < 3) /* current point at control point */
+ { xy_x = this->m_proj_parm.c[i].p.x; xy_y = this->m_proj_parm.c[i].p.y; }
+ else { /* point mean of intersepts */
+ { xy_x = this->m_proj_parm.p.x; xy_y = this->m_proj_parm.p.y; }
+ for (i = 0; i < 3; ++i) {
+ j = i == 2 ? 0 : i + 1;
+ a = lc(this->m_proj_parm.c[i].v.r, v[i].r, v[j].r);
+ if (v[i].Az < 0.)
+ a = -a;
+ if (! i) { /* coord comp unique to each arc */
+ xy_x += v[i].r * cos(a);
+ xy_y -= v[i].r * sin(a);
+ } else if (i == 1) {
+ a = this->m_proj_parm.beta_1 - a;
+ xy_x -= v[i].r * cos(a);
+ xy_y -= v[i].r * sin(a);
+ } else {
+ a = this->m_proj_parm.beta_2 - a;
+ xy_x += v[i].r * cos(a);
+ xy_y += v[i].r * sin(a);
+ }
+ }
+ xy_x *= THIRD; /* mean of arc intercepts */
+ xy_y *= THIRD;
+ }
+ }
+
+ static inline std::string get_name()
+ {
+ return "chamb_spheroid";
+ }
+
+ };
+
+ // Chamberlin Trimetric
+ template <typename Parameters, typename T>
+ inline void setup_chamb(Parameters& par, par_chamb<T>& proj_parm)
+ {
+ static const T ONEPI = detail::ONEPI<T>();
+
+ int i, j;
+ char line[10];
+
+ for (i = 0; i < 3; ++i) { /* get control point locations */
+ (void)sprintf(line, "rlat_%d", i+1);
+ proj_parm.c[i].phi = pj_param(par.params, line).f;
+ (void)sprintf(line, "rlon_%d", i+1);
+ proj_parm.c[i].lam = pj_param(par.params, line).f;
+ proj_parm.c[i].lam = adjlon(proj_parm.c[i].lam - par.lam0);
+ proj_parm.c[i].cosphi = cos(proj_parm.c[i].phi);
+ proj_parm.c[i].sinphi = sin(proj_parm.c[i].phi);
+ }
+ for (i = 0; i < 3; ++i) { /* inter ctl pt. distances and azimuths */
+ j = i == 2 ? 0 : i + 1;
+ 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,
+ proj_parm.c[j].cosphi, proj_parm.c[j].sinphi, proj_parm.c[j].lam - proj_parm.c[i].lam);
+ if (! proj_parm.c[i].v.r)
+ BOOST_THROW_EXCEPTION( projection_exception(-25) );
+ /* co-linearity problem ignored for now */
+ }
+ proj_parm.beta_0 = lc(proj_parm.c[0].v.r, proj_parm.c[2].v.r, proj_parm.c[1].v.r);
+ proj_parm.beta_1 = lc(proj_parm.c[0].v.r, proj_parm.c[1].v.r, proj_parm.c[2].v.r);
+ proj_parm.beta_2 = ONEPI - proj_parm.beta_0;
+ 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));
+ proj_parm.c[2].p.y = 0.;
+ proj_parm.c[0].p.x = - (proj_parm.c[1].p.x = 0.5 * proj_parm.c[0].v.r);
+ 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);
+ par.es = 0.;
+ }
+
+ }} // namespace detail::chamb
+ #endif // doxygen
+
+ /*!
+ \brief Chamberlin Trimetric projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Miscellaneous
+ - Spheroid
+ - no inverse
+ \par Projection parameters
+ - lat_1: Latitude of control point 1 (degrees)
+ - lon_1: Longitude of control point 1 (degrees)
+ - lat_2: Latitude of control point 2 (degrees)
+ - lon_2: Longitude of control point 2 (degrees)
+ - lat_3: Latitude of control point 3 (degrees)
+ - lon_3: Longitude of control point 3 (degrees)
+ \par Example
+ \image html ex_chamb.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct chamb_spheroid : public detail::chamb::base_chamb_spheroid<CalculationType, Parameters>
+ {
+ inline chamb_spheroid(const Parameters& par) : detail::chamb::base_chamb_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::chamb::setup_chamb(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::chamb, chamb_spheroid, chamb_spheroid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class chamb_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_f<chamb_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void chamb_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("chamb", new chamb_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_CHAMB_HPP
+