250 lines
9.2 KiB
C++
250 lines
9.2 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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/*****************************************************************************
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Lambert Conformal Conic Alternative
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-----------------------------------
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This is Gerald Evenden's 2003 implementation of an alternative
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"almost" LCC, which has been in use historically, but which
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should NOT be used for new projects - i.e: use this implementation
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if you need interoperability with old data represented in this
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projection, but not in any other case.
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The code was originally discussed on the PROJ.4 mailing list in
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a thread archived over at
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http://lists.maptools.org/pipermail/proj/2003-March/000644.html
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It was discussed again in the thread starting at
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http://lists.maptools.org/pipermail/proj/2017-October/007828.html
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and continuing at
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http://lists.maptools.org/pipermail/proj/2017-November/007831.html
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which prompted Clifford J. Mugnier to add these clarifying notes:
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The French Army Truncated Cubic Lambert (partially conformal) Conic
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projection is the Legal system for the projection in France between
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the late 1800s and 1948 when the French Legislature changed the law
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to recognize the fully conformal version.
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It was (might still be in one or two North African prior French
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Colonies) used in North Africa in Algeria, Tunisia, & Morocco, as
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well as in Syria during the Levant.
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Last time I have seen it used was about 30+ years ago in
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Algeria when it was used to define Lease Block boundaries for
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Petroleum Exploration & Production.
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(signed)
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Clifford J. Mugnier, c.p., c.m.s.
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Chief of Geodesy
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LSU Center for GeoInformatics
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Dept. of Civil Engineering
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LOUISIANA STATE UNIVERSITY
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*****************************************************************************/
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#ifndef BOOST_GEOMETRY_PROJECTIONS_LCCA_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_LCCA_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_mlfn.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 lcca
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{
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static const int max_iter = 10;
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static const double del_tol = 1e-12;
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template <typename T>
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struct par_lcca
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{
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detail::en<T> en;
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T r0, l, M0;
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T C;
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};
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template <typename T> /* func to compute dr */
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inline T fS(T const& S, T const& C)
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{
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return(S * ( 1. + S * S * C));
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}
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template <typename T> /* deriv of fs */
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inline T fSp(T const& S, T const& C)
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{
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return(1. + 3.* S * S * C);
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}
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template <typename T, typename Parameters>
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struct base_lcca_ellipsoid
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{
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par_lcca<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& par, T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T S, r, dr;
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S = pj_mlfn(lp_lat, sin(lp_lat), cos(lp_lat), this->m_proj_parm.en) - this->m_proj_parm.M0;
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dr = fS(S, this->m_proj_parm.C);
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r = this->m_proj_parm.r0 - dr;
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xy_x = par.k0 * (r * sin( lp_lon *= this->m_proj_parm.l ) );
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xy_y = par.k0 * (this->m_proj_parm.r0 - r * cos(lp_lon) );
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}
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// INVERSE(e_inverse) ellipsoid & spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& par, T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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T theta, dr, S, dif;
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int i;
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xy_x /= par.k0;
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xy_y /= par.k0;
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theta = atan2(xy_x , this->m_proj_parm.r0 - xy_y);
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dr = xy_y - xy_x * tan(0.5 * theta);
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lp_lon = theta / this->m_proj_parm.l;
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S = dr;
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for (i = max_iter; i ; --i) {
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S -= (dif = (fS(S, this->m_proj_parm.C) - dr) / fSp(S, this->m_proj_parm.C));
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if (fabs(dif) < del_tol) break;
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}
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if (!i) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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lp_lat = pj_inv_mlfn(S + this->m_proj_parm.M0, par.es, this->m_proj_parm.en);
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}
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static inline std::string get_name()
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{
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return "lcca_ellipsoid";
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}
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};
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// Lambert Conformal Conic Alternative
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template <typename Parameters, typename T>
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inline void setup_lcca(Parameters const& par, par_lcca<T>& proj_parm)
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{
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T s2p0, N0, R0, tan0;
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proj_parm.en = pj_enfn<T>(par.es);
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if (par.phi0 == 0.) {
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BOOST_THROW_EXCEPTION( projection_exception(error_lat_0_is_zero) );
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}
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proj_parm.l = sin(par.phi0);
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proj_parm.M0 = pj_mlfn(par.phi0, proj_parm.l, cos(par.phi0), proj_parm.en);
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s2p0 = proj_parm.l * proj_parm.l;
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R0 = 1. / (1. - par.es * s2p0);
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N0 = sqrt(R0);
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R0 *= par.one_es * N0;
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tan0 = tan(par.phi0);
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proj_parm.r0 = N0 / tan0;
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proj_parm.C = 1. / (6. * R0 * N0);
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}
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}} // namespace detail::lcca
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#endif // doxygen
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/*!
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\brief Lambert Conformal Conic Alternative 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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- Conic
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- Spheroid
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- Ellipsoid
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\par Projection parameters
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- lat_0: Latitude of origin
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\par Example
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\image html ex_lcca.gif
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*/
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template <typename T, typename Parameters>
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struct lcca_ellipsoid : public detail::lcca::base_lcca_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline lcca_ellipsoid(Params const& , Parameters const& par)
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{
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detail::lcca::setup_lcca(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_FI(srs::spar::proj_lcca, lcca_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(lcca_entry, lcca_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(lcca_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(lcca, lcca_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_LCCA_HPP
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