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+#ifndef BOOST_GEOMETRY_PROJECTIONS_OMERC_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_OMERC_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:
+
+// Copyright (c) 2003, 2006 Gerald I. Evenden
+
+// 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 <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/pj_phi2.hpp>
+#include <boost/geometry/srs/projections/impl/pj_tsfn.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace srs { namespace par4
+{
+ struct omerc {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace omerc
+ {
+ static const double TOL = 1.e-7;
+ static const double EPS = 1.e-10;
+
+ template <typename T>
+ struct par_omerc
+ {
+ T A, B, E, AB, ArB, BrA, rB, singam, cosgam, sinrot, cosrot;
+ T v_pole_n, v_pole_s, u_0;
+ int no_rot;
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_omerc_ellipsoid : public base_t_fi<base_omerc_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_omerc<CalculationType> m_proj_parm;
+
+ inline base_omerc_ellipsoid(const Parameters& par)
+ : base_t_fi<base_omerc_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>(*this, par) {}
+
+ // FORWARD(e_forward) ellipsoid
+ // 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 HALFPI = detail::HALFPI<CalculationType>();
+
+ CalculationType Q, S, T, U, V, temp, u, v;
+
+ if (fabs(fabs(lp_lat) - HALFPI) > EPS) {
+ Q = this->m_proj_parm.E / pow(pj_tsfn(lp_lat, sin(lp_lat), this->m_par.e), this->m_proj_parm.B);
+ temp = 1. / Q;
+ S = .5 * (Q - temp);
+ T = .5 * (Q + temp);
+ V = sin(this->m_proj_parm.B * lp_lon);
+ U = (S * this->m_proj_parm.singam - V * this->m_proj_parm.cosgam) / T;
+ if (fabs(fabs(U) - 1.0) < EPS)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ v = 0.5 * this->m_proj_parm.ArB * log((1. - U)/(1. + U));
+ temp = cos(this->m_proj_parm.B * lp_lon);
+ if(fabs(temp) < TOL) {
+ u = this->m_proj_parm.A * lp_lon;
+ } else {
+ u = this->m_proj_parm.ArB * atan2((S * this->m_proj_parm.cosgam + V * this->m_proj_parm.singam), temp);
+ }
+ } else {
+ v = lp_lat > 0 ? this->m_proj_parm.v_pole_n : this->m_proj_parm.v_pole_s;
+ u = this->m_proj_parm.ArB * lp_lat;
+ }
+ if (this->m_proj_parm.no_rot) {
+ xy_x = u;
+ xy_y = v;
+ } else {
+ u -= this->m_proj_parm.u_0;
+ xy_x = v * this->m_proj_parm.cosrot + u * this->m_proj_parm.sinrot;
+ xy_y = u * this->m_proj_parm.cosrot - v * this->m_proj_parm.sinrot;
+ }
+ }
+
+ // INVERSE(e_inverse) ellipsoid
+ // Project coordinates from cartesian (x, y) to geographic (lon, lat)
+ inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
+ {
+ static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
+
+ CalculationType u, v, Qp, Sp, Tp, Vp, Up;
+
+ if (this->m_proj_parm.no_rot) {
+ v = xy_y;
+ u = xy_x;
+ } else {
+ v = xy_x * this->m_proj_parm.cosrot - xy_y * this->m_proj_parm.sinrot;
+ u = xy_y * this->m_proj_parm.cosrot + xy_x * this->m_proj_parm.sinrot + this->m_proj_parm.u_0;
+ }
+ Qp = exp(- this->m_proj_parm.BrA * v);
+ Sp = .5 * (Qp - 1. / Qp);
+ Tp = .5 * (Qp + 1. / Qp);
+ Vp = sin(this->m_proj_parm.BrA * u);
+ Up = (Vp * this->m_proj_parm.cosgam + Sp * this->m_proj_parm.singam) / Tp;
+ if (fabs(fabs(Up) - 1.) < EPS) {
+ lp_lon = 0.;
+ lp_lat = Up < 0. ? -HALFPI : HALFPI;
+ } else {
+ lp_lat = this->m_proj_parm.E / sqrt((1. + Up) / (1. - Up));
+ if ((lp_lat = pj_phi2(pow(lp_lat, 1. / this->m_proj_parm.B), this->m_par.e)) == HUGE_VAL)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ lp_lon = - this->m_proj_parm.rB * atan2((Sp * this->m_proj_parm.cosgam -
+ Vp * this->m_proj_parm.singam), cos(this->m_proj_parm.BrA * u));
+ }
+ }
+
+ static inline std::string get_name()
+ {
+ return "omerc_ellipsoid";
+ }
+
+ };
+
+ // Oblique Mercator
+ template <typename Parameters, typename T>
+ inline void setup_omerc(Parameters& par, par_omerc<T>& proj_parm)
+ {
+ static const T FORTPI = detail::FORTPI<T>();
+ static const T HALFPI = detail::HALFPI<T>();
+ static const T ONEPI = detail::ONEPI<T>();
+ static const T TWOPI = detail::TWOPI<T>();
+
+ T con, com, cosph0, D, F, H, L, sinph0, p, J, gamma=0,
+ gamma0, lamc=0, lam1=0, lam2=0, phi1=0, phi2=0, alpha_c=0.0;
+ int alp, gam, no_off = 0;
+
+ proj_parm.no_rot = pj_param(par.params, "tno_rot").i;
+ if ((alp = pj_param(par.params, "talpha").i) != 0)
+ alpha_c = pj_param(par.params, "ralpha").f;
+ if ((gam = pj_param(par.params, "tgamma").i) != 0)
+ gamma = pj_param(par.params, "rgamma").f;
+ if (alp || gam) {
+ lamc = pj_param(par.params, "rlonc").f;
+ no_off =
+ /* For libproj4 compatability */
+ pj_param(par.params, "tno_off").i
+ /* for backward compatibility */
+ || pj_param(par.params, "tno_uoff").i;
+ if( no_off )
+ {
+ /* Mark the parameter as used, so that the pj_get_def() return them */
+ pj_param(par.params, "sno_uoff");
+ pj_param(par.params, "sno_off");
+ }
+ } else {
+ lam1 = pj_param(par.params, "rlon_1").f;
+ phi1 = pj_param(par.params, "rlat_1").f;
+ lam2 = pj_param(par.params, "rlon_2").f;
+ phi2 = pj_param(par.params, "rlat_2").f;
+ if (fabs(phi1 - phi2) <= TOL ||
+ (con = fabs(phi1)) <= TOL ||
+ fabs(con - HALFPI) <= TOL ||
+ fabs(fabs(par.phi0) - HALFPI) <= TOL ||
+ fabs(fabs(phi2) - HALFPI) <= TOL)
+ BOOST_THROW_EXCEPTION( projection_exception(-33) );
+ }
+ com = sqrt(par.one_es);
+ if (fabs(par.phi0) > EPS) {
+ sinph0 = sin(par.phi0);
+ cosph0 = cos(par.phi0);
+ con = 1. - par.es * sinph0 * sinph0;
+ proj_parm.B = cosph0 * cosph0;
+ proj_parm.B = sqrt(1. + par.es * proj_parm.B * proj_parm.B / par.one_es);
+ proj_parm.A = proj_parm.B * par.k0 * com / con;
+ D = proj_parm.B * com / (cosph0 * sqrt(con));
+ if ((F = D * D - 1.) <= 0.)
+ F = 0.;
+ else {
+ F = sqrt(F);
+ if (par.phi0 < 0.)
+ F = -F;
+ }
+ proj_parm.E = F += D;
+ proj_parm.E *= pow(pj_tsfn(par.phi0, sinph0, par.e), proj_parm.B);
+ } else {
+ proj_parm.B = 1. / com;
+ proj_parm.A = par.k0;
+ proj_parm.E = D = F = 1.;
+ }
+ if (alp || gam) {
+ if (alp) {
+ gamma0 = asin(sin(alpha_c) / D);
+ if (!gam)
+ gamma = alpha_c;
+ } else
+ alpha_c = asin(D*sin(gamma0 = gamma));
+ if ((con = fabs(alpha_c)) <= TOL ||
+ fabs(con - ONEPI) <= TOL ||
+ fabs(fabs(par.phi0) - HALFPI) <= TOL)
+ BOOST_THROW_EXCEPTION( projection_exception(-32) );
+ par.lam0 = lamc - asin(.5 * (F - 1. / F) *
+ tan(gamma0)) / proj_parm.B;
+ } else {
+ H = pow(pj_tsfn(phi1, sin(phi1), par.e), proj_parm.B);
+ L = pow(pj_tsfn(phi2, sin(phi2), par.e), proj_parm.B);
+ F = proj_parm.E / H;
+ p = (L - H) / (L + H);
+ J = proj_parm.E * proj_parm.E;
+ J = (J - L * H) / (J + L * H);
+ if ((con = lam1 - lam2) < -ONEPI)
+ lam2 -= TWOPI;
+ else if (con > ONEPI)
+ lam2 += TWOPI;
+ par.lam0 = adjlon(.5 * (lam1 + lam2) - atan(
+ J * tan(.5 * proj_parm.B * (lam1 - lam2)) / p) / proj_parm.B);
+ gamma0 = atan(2. * sin(proj_parm.B * adjlon(lam1 - par.lam0)) /
+ (F - 1. / F));
+ gamma = alpha_c = asin(D * sin(gamma0));
+ }
+ proj_parm.singam = sin(gamma0);
+ proj_parm.cosgam = cos(gamma0);
+ proj_parm.sinrot = sin(gamma);
+ proj_parm.cosrot = cos(gamma);
+ proj_parm.BrA = 1. / (proj_parm.ArB = proj_parm.A * (proj_parm.rB = 1. / proj_parm.B));
+ proj_parm.AB = proj_parm.A * proj_parm.B;
+ if (no_off)
+ proj_parm.u_0 = 0;
+ else {
+ proj_parm.u_0 = fabs(proj_parm.ArB * atan2(sqrt(D * D - 1.), cos(alpha_c)));
+ if (par.phi0 < 0.)
+ proj_parm.u_0 = - proj_parm.u_0;
+ }
+ F = 0.5 * gamma0;
+ proj_parm.v_pole_n = proj_parm.ArB * log(tan(FORTPI - F));
+ proj_parm.v_pole_s = proj_parm.ArB * log(tan(FORTPI + F));
+ }
+
+ }} // namespace detail::omerc
+ #endif // doxygen
+
+ /*!
+ \brief Oblique Mercator projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Cylindrical
+ - Spheroid
+ - Ellipsoid
+ \par Projection parameters
+ - no_rot: No rotation
+ - alpha: Alpha (degrees)
+ - gamma: Gamma (degrees)
+ - no_off: Only for compatibility with libproj, proj4 (string)
+ - lonc: Longitude (only used if alpha (or gamma) is specified) (degrees)
+ - lon_1 (degrees)
+ - lat_1: Latitude of first standard parallel (degrees)
+ - lon_2 (degrees)
+ - lat_2: Latitude of second standard parallel (degrees)
+ - no_uoff (string)
+ \par Example
+ \image html ex_omerc.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct omerc_ellipsoid : public detail::omerc::base_omerc_ellipsoid<CalculationType, Parameters>
+ {
+ inline omerc_ellipsoid(const Parameters& par) : detail::omerc::base_omerc_ellipsoid<CalculationType, Parameters>(par)
+ {
+ detail::omerc::setup_omerc(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::omerc, omerc_ellipsoid, omerc_ellipsoid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class omerc_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<omerc_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void omerc_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("omerc", new omerc_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_OMERC_HPP
+