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#ifndef GGL_PROJECTIONS_TPEQD_HPP
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#define GGL_PROJECTIONS_TPEQD_HPP
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// Generic Geometry Library - projections (based on PROJ4)
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// This file is automatically generated. DO NOT EDIT.
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// Copyright Barend Gehrels (1995-2009), Geodan Holding B.V. Amsterdam, the Netherlands.
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// Copyright Bruno Lalande (2008-2009)
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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 Geometry Library by Barend Gehrels (Geodan, Amsterdam)
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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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#include <boost/math/special_functions/hypot.hpp>
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#include <ggl/extensions/gis/projections/impl/base_static.hpp>
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#include <ggl/extensions/gis/projections/impl/base_dynamic.hpp>
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#include <ggl/extensions/gis/projections/impl/projects.hpp>
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#include <ggl/extensions/gis/projections/impl/factory_entry.hpp>
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namespace ggl { namespace projection
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace tpeqd{
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double cp1, sp1, cp2, sp2, ccs, cs, sc, r2z0, z02, dlam2;
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double hz0, thz0, rhshz0, ca, sa, lp, lamc;
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// template class, using CRTP to implement forward/inverse
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template <typename Geographic, typename Cartesian, typename Parameters>
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struct base_tpeqd_spheroid : public base_t_fi<base_tpeqd_spheroid<Geographic, Cartesian, Parameters>,
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Geographic, Cartesian, Parameters>
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typedef double geographic_type;
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typedef double cartesian_type;
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par_tpeqd m_proj_parm;
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inline base_tpeqd_spheroid(const Parameters& par)
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: base_t_fi<base_tpeqd_spheroid<Geographic, Cartesian, Parameters>,
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Geographic, Cartesian, Parameters>(*this, par) {}
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inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
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double t, z1, z2, dl1, dl2, sp, cp;
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z1 = aacos(this->m_proj_parm.sp1 * sp + this->m_proj_parm.cp1 * cp * cos(dl1 = lp_lon + this->m_proj_parm.dlam2));
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z2 = aacos(this->m_proj_parm.sp2 * sp + this->m_proj_parm.cp2 * cp * cos(dl2 = lp_lon - this->m_proj_parm.dlam2));
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xy_x = this->m_proj_parm.r2z0 * (t = z1 - z2);
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t = this->m_proj_parm.z02 - t;
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xy_y = this->m_proj_parm.r2z0 * asqrt(4. * this->m_proj_parm.z02 * z2 - t * t);
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if ((this->m_proj_parm.ccs * sp - cp * (this->m_proj_parm.cs * sin(dl1) - this->m_proj_parm.sc * sin(dl2))) < 0.)
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inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
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double cz1, cz2, s, d, cp, sp;
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cz1 = cos(boost::math::hypot(xy_y, xy_x + this->m_proj_parm.hz0));
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cz2 = cos(boost::math::hypot(xy_y, xy_x - this->m_proj_parm.hz0));
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lp_lon = - atan2(d, (s * this->m_proj_parm.thz0));
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lp_lat = aacos(boost::math::hypot(this->m_proj_parm.thz0 * s, d) * this->m_proj_parm.rhshz0);
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/* lam--phi now in system relative to P1--P2 base equator */
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lp_lat = aasin(this->m_proj_parm.sa * sp + this->m_proj_parm.ca * cp * (s = cos(lp_lon -= this->m_proj_parm.lp)));
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lp_lon = atan2(cp * sin(lp_lon), this->m_proj_parm.sa * cp * s - this->m_proj_parm.ca * sp) + this->m_proj_parm.lamc;
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// Two Point Equidistant
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template <typename Parameters>
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void setup_tpeqd(Parameters& par, par_tpeqd& proj_parm)
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double lam_1, lam_2, phi_1, phi_2, A12, pp;
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/* get control point locations */
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phi_1 = pj_param(par.params, "rlat_1").f;
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lam_1 = pj_param(par.params, "rlon_1").f;
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phi_2 = pj_param(par.params, "rlat_2").f;
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lam_2 = pj_param(par.params, "rlon_2").f;
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if (phi_1 == phi_2 && lam_1 == lam_2) throw proj_exception(-25);
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par.lam0 = adjlon(0.5 * (lam_1 + lam_2));
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proj_parm.dlam2 = adjlon(lam_2 - lam_1);
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proj_parm.cp1 = cos(phi_1);
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proj_parm.cp2 = cos(phi_2);
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proj_parm.sp1 = sin(phi_1);
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proj_parm.sp2 = sin(phi_2);
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proj_parm.cs = proj_parm.cp1 * proj_parm.sp2;
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proj_parm.sc = proj_parm.sp1 * proj_parm.cp2;
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proj_parm.ccs = proj_parm.cp1 * proj_parm.cp2 * sin(proj_parm.dlam2);
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proj_parm.z02 = aacos(proj_parm.sp1 * proj_parm.sp2 + proj_parm.cp1 * proj_parm.cp2 * cos(proj_parm.dlam2));
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proj_parm.hz0 = .5 * proj_parm.z02;
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A12 = atan2(proj_parm.cp2 * sin(proj_parm.dlam2),
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proj_parm.cp1 * proj_parm.sp2 - proj_parm.sp1 * proj_parm.cp2 * cos(proj_parm.dlam2));
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proj_parm.ca = cos(pp = aasin(proj_parm.cp1 * sin(A12)));
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proj_parm.sa = sin(pp);
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proj_parm.lp = adjlon(atan2(proj_parm.cp1 * cos(A12), proj_parm.sp1) - proj_parm.hz0);
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proj_parm.dlam2 *= .5;
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proj_parm.lamc = HALFPI - atan2(sin(A12) * proj_parm.sp1, cos(A12)) - proj_parm.dlam2;
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proj_parm.thz0 = tan(proj_parm.hz0);
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proj_parm.rhshz0 = .5 / sin(proj_parm.hz0);
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proj_parm.r2z0 = 0.5 / proj_parm.z02;
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proj_parm.z02 *= proj_parm.z02;
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// par.inv = s_inverse;
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// par.fwd = s_forward;
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}} // namespace detail::tpeqd
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\brief Two Point Equidistant projection
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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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- lat_1= lon_1= lat_2= lon_2=
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\image html ex_tpeqd.gif
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template <typename Geographic, typename Cartesian, typename Parameters = parameters>
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struct tpeqd_spheroid : public detail::tpeqd::base_tpeqd_spheroid<Geographic, Cartesian, Parameters>
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inline tpeqd_spheroid(const Parameters& par) : detail::tpeqd::base_tpeqd_spheroid<Geographic, Cartesian, Parameters>(par)
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detail::tpeqd::setup_tpeqd(this->m_par, this->m_proj_parm);
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#ifndef DOXYGEN_NO_DETAIL
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template <typename Geographic, typename Cartesian, typename Parameters>
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class tpeqd_entry : public detail::factory_entry<Geographic, Cartesian, Parameters>
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virtual projection<Geographic, Cartesian>* create_new(const Parameters& par) const
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return new base_v_fi<tpeqd_spheroid<Geographic, Cartesian, Parameters>, Geographic, Cartesian, Parameters>(par);
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template <typename Geographic, typename Cartesian, typename Parameters>
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inline void tpeqd_init(detail::base_factory<Geographic, Cartesian, Parameters>& factory)
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factory.add_to_factory("tpeqd", new tpeqd_entry<Geographic, Cartesian, Parameters>);
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} // namespace detail
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}} // namespace ggl::projection
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#endif // GGL_PROJECTIONS_TPEQD_HPP