355 lines
14 KiB
C++
355 lines
14 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_TMERC_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_TMERC_HPP
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#include <boost/geometry/util/math.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/function_overloads.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 tmerc
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{
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static const double epsilon10 = 1.e-10;
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template <typename T>
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inline T FC1() { return 1.; }
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template <typename T>
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inline T FC2() { return .5; }
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template <typename T>
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inline T FC3() { return .16666666666666666666666666666666666666; }
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template <typename T>
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inline T FC4() { return .08333333333333333333333333333333333333; }
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template <typename T>
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inline T FC5() { return .05; }
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template <typename T>
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inline T FC6() { return .03333333333333333333333333333333333333; }
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template <typename T>
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inline T FC7() { return .02380952380952380952380952380952380952; }
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template <typename T>
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inline T FC8() { return .01785714285714285714285714285714285714; }
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template <typename T>
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struct par_tmerc
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{
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T esp;
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T ml0;
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detail::en<T> en;
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};
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template <typename T, typename Parameters>
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struct base_tmerc_ellipsoid
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{
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par_tmerc<T> m_proj_parm;
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// FORWARD(e_forward) ellipse
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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 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 half_pi = detail::half_pi<T>();
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static const T FC1 = tmerc::FC1<T>();
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static const T FC2 = tmerc::FC2<T>();
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static const T FC3 = tmerc::FC3<T>();
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static const T FC4 = tmerc::FC4<T>();
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static const T FC5 = tmerc::FC5<T>();
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static const T FC6 = tmerc::FC6<T>();
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static const T FC7 = tmerc::FC7<T>();
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static const T FC8 = tmerc::FC8<T>();
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T al, als, n, cosphi, sinphi, t;
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/*
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* Fail if our longitude is more than 90 degrees from the
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* central meridian since the results are essentially garbage.
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* Is error -20 really an appropriate return value?
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*
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* http://trac.osgeo.org/proj/ticket/5
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*/
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if( lp_lon < -half_pi || lp_lon > half_pi )
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{
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xy_x = HUGE_VAL;
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xy_y = HUGE_VAL;
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BOOST_THROW_EXCEPTION( projection_exception(error_lat_or_lon_exceed_limit) );
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return;
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}
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sinphi = sin(lp_lat);
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cosphi = cos(lp_lat);
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t = fabs(cosphi) > 1e-10 ? sinphi/cosphi : 0.;
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t *= t;
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al = cosphi * lp_lon;
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als = al * al;
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al /= sqrt(1. - par.es * sinphi * sinphi);
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n = this->m_proj_parm.esp * cosphi * cosphi;
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xy_x = par.k0 * al * (FC1 +
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FC3 * als * (1. - t + n +
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FC5 * als * (5. + t * (t - 18.) + n * (14. - 58. * t)
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+ FC7 * als * (61. + t * ( t * (179. - t) - 479. ) )
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)));
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xy_y = par.k0 * (pj_mlfn(lp_lat, sinphi, cosphi, this->m_proj_parm.en) - this->m_proj_parm.ml0 +
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sinphi * al * lp_lon * FC2 * ( 1. +
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FC4 * als * (5. - t + n * (9. + 4. * n) +
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FC6 * als * (61. + t * (t - 58.) + n * (270. - 330 * t)
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+ FC8 * als * (1385. + t * ( t * (543. - t) - 3111.) )
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))));
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}
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// INVERSE(e_inverse) ellipsoid
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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 const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T half_pi = detail::half_pi<T>();
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static const T FC1 = tmerc::FC1<T>();
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static const T FC2 = tmerc::FC2<T>();
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static const T FC3 = tmerc::FC3<T>();
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static const T FC4 = tmerc::FC4<T>();
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static const T FC5 = tmerc::FC5<T>();
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static const T FC6 = tmerc::FC6<T>();
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static const T FC7 = tmerc::FC7<T>();
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static const T FC8 = tmerc::FC8<T>();
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T n, con, cosphi, d, ds, sinphi, t;
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lp_lat = pj_inv_mlfn(this->m_proj_parm.ml0 + xy_y / par.k0, par.es, this->m_proj_parm.en);
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if (fabs(lp_lat) >= half_pi) {
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lp_lat = xy_y < 0. ? -half_pi : half_pi;
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lp_lon = 0.;
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} else {
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sinphi = sin(lp_lat);
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cosphi = cos(lp_lat);
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t = fabs(cosphi) > 1e-10 ? sinphi/cosphi : 0.;
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n = this->m_proj_parm.esp * cosphi * cosphi;
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d = xy_x * sqrt(con = 1. - par.es * sinphi * sinphi) / par.k0;
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con *= t;
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t *= t;
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ds = d * d;
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lp_lat -= (con * ds / (1.-par.es)) * FC2 * (1. -
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ds * FC4 * (5. + t * (3. - 9. * n) + n * (1. - 4 * n) -
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ds * FC6 * (61. + t * (90. - 252. * n +
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45. * t) + 46. * n
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- ds * FC8 * (1385. + t * (3633. + t * (4095. + 1574. * t)) )
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)));
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lp_lon = d*(FC1 -
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ds*FC3*( 1. + 2.*t + n -
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ds*FC5*(5. + t*(28. + 24.*t + 8.*n) + 6.*n
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- ds * FC7 * (61. + t * (662. + t * (1320. + 720. * t)) )
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))) / cosphi;
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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 "tmerc_ellipsoid";
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}
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};
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template <typename T, typename Parameters>
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struct base_tmerc_spheroid
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{
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par_tmerc<T> m_proj_parm;
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// FORWARD(s_forward) sphere
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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 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 half_pi = detail::half_pi<T>();
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T b, cosphi;
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/*
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* Fail if our longitude is more than 90 degrees from the
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* central meridian since the results are essentially garbage.
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* Is error -20 really an appropriate return value?
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*
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* http://trac.osgeo.org/proj/ticket/5
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*/
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if( lp_lon < -half_pi || lp_lon > half_pi )
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{
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xy_x = HUGE_VAL;
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xy_y = HUGE_VAL;
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BOOST_THROW_EXCEPTION( projection_exception(error_lat_or_lon_exceed_limit) );
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return;
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}
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cosphi = cos(lp_lat);
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b = cosphi * sin(lp_lon);
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if (fabs(fabs(b) - 1.) <= epsilon10)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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xy_x = this->m_proj_parm.ml0 * log((1. + b) / (1. - b));
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xy_y = cosphi * cos(lp_lon) / sqrt(1. - b * b);
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b = fabs( xy_y );
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if (b >= 1.) {
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if ((b - 1.) > epsilon10)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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else xy_y = 0.;
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} else
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xy_y = acos(xy_y);
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if (lp_lat < 0.)
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xy_y = -xy_y;
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xy_y = this->m_proj_parm.esp * (xy_y - par.phi0);
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}
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// INVERSE(s_inverse) sphere
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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 const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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T h, g;
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h = exp(xy_x / this->m_proj_parm.esp);
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g = .5 * (h - 1. / h);
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h = cos(par.phi0 + xy_y / this->m_proj_parm.esp);
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lp_lat = asin(sqrt((1. - h * h) / (1. + g * g)));
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/* Make sure that phi is on the correct hemisphere when false northing is used */
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if (xy_y < 0. && -lp_lat+par.phi0 < 0.0) lp_lat = -lp_lat;
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lp_lon = (g != 0.0 || h != 0.0) ? atan2(g, h) : 0.;
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}
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static inline std::string get_name()
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{
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return "tmerc_spheroid";
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}
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};
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template <typename Parameters, typename T>
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inline void setup(Parameters const& par, par_tmerc<T>& proj_parm)
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{
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if (par.es != 0.0) {
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proj_parm.en = pj_enfn<T>(par.es);
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proj_parm.ml0 = pj_mlfn(par.phi0, sin(par.phi0), cos(par.phi0), proj_parm.en);
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proj_parm.esp = par.es / (1. - par.es);
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} else {
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proj_parm.esp = par.k0;
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proj_parm.ml0 = .5 * proj_parm.esp;
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}
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}
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}} // namespace detail::tmerc
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#endif // doxygen
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/*!
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\brief Transverse Mercator 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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- Cylindrical
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_tmerc.gif
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*/
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template <typename T, typename Parameters>
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struct tmerc_ellipsoid : public detail::tmerc::base_tmerc_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline tmerc_ellipsoid(Params const&, Parameters const& par)
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{
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detail::tmerc::setup(par, this->m_proj_parm);
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}
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};
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/*!
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\brief Transverse Mercator 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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- Cylindrical
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- Spheroid
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- Ellipsoid
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\par Example
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\image html ex_tmerc.gif
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*/
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template <typename T, typename Parameters>
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struct tmerc_spheroid : public detail::tmerc::base_tmerc_spheroid<T, Parameters>
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{
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template <typename Params>
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inline tmerc_spheroid(Params const&, Parameters const& par)
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{
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detail::tmerc::setup(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_FI2(srs::spar::proj_tmerc, tmerc_spheroid, tmerc_ellipsoid)
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// Factory entry(s) - dynamic projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(tmerc_entry, tmerc_spheroid, tmerc_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(tmerc_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tmerc, tmerc_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_TMERC_HPP
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