334 lines
15 KiB
C++
334 lines
15 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_LSAT_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_LSAT_HPP
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#include <boost/geometry/srs/projections/impl/aasincos.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/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/pj_param.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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#include <boost/geometry/util/math.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 lsat
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{
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static const double tolerance = 1e-7;
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template <typename T>
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struct par_lsat
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{
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T a2, a4, b, c1, c3;
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T q, t, u, w, p22, sa, ca, xj, rlm, rlm2;
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};
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/* based upon Snyder and Linck, USGS-NMD */
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template <typename T>
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inline void
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seraz0(T lam, T const& mult, par_lsat<T>& proj_parm)
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{
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T sdsq, h, s, fc, sd, sq, d__1 = 0;
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lam *= geometry::math::d2r<T>();
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sd = sin(lam);
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sdsq = sd * sd;
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s = proj_parm.p22 * proj_parm.sa * cos(lam) * sqrt((1. + proj_parm.t * sdsq)
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/ ((1. + proj_parm.w * sdsq) * (1. + proj_parm.q * sdsq)));
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d__1 = 1. + proj_parm.q * sdsq;
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h = sqrt((1. + proj_parm.q * sdsq) / (1. + proj_parm.w * sdsq)) * ((1. + proj_parm.w * sdsq)
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/ (d__1 * d__1) - proj_parm.p22 * proj_parm.ca);
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sq = sqrt(proj_parm.xj * proj_parm.xj + s * s);
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fc = mult * (h * proj_parm.xj - s * s) / sq;
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proj_parm.b += fc;
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proj_parm.a2 += fc * cos(lam + lam);
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proj_parm.a4 += fc * cos(lam * 4.);
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fc = mult * s * (h + proj_parm.xj) / sq;
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proj_parm.c1 += fc * cos(lam);
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proj_parm.c3 += fc * cos(lam * 3.);
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}
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template <typename T, typename Parameters>
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struct base_lsat_ellipsoid
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{
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par_lsat<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 const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
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{
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static const T fourth_pi = detail::fourth_pi<T>();
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static const T half_pi = detail::half_pi<T>();
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static const T one_and_half_pi = detail::one_and_half_pi<T>();
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static const T two_and_half_pi = detail::two_and_half_pi<T>();
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int l, nn;
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T lamt = 0.0, xlam, sdsq, c, d, s, lamdp = 0.0, phidp, lampp, tanph;
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T lamtp, cl, sd, sp, sav, tanphi;
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if (lp_lat > half_pi)
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lp_lat = half_pi;
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else if (lp_lat < -half_pi)
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lp_lat = -half_pi;
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if (lp_lat >= 0. )
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lampp = half_pi;
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else
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lampp = one_and_half_pi;
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tanphi = tan(lp_lat);
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for (nn = 0;;) {
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T fac;
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sav = lampp;
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lamtp = lp_lon + this->m_proj_parm.p22 * lampp;
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cl = cos(lamtp);
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if (fabs(cl) < tolerance)
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lamtp -= tolerance;
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if( cl < 0 )
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fac = lampp + sin(lampp) * half_pi;
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else
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fac = lampp - sin(lampp) * half_pi;
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for (l = 50; l; --l) {
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lamt = lp_lon + this->m_proj_parm.p22 * sav;
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c = cos(lamt);
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if (fabs(c) < tolerance)
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lamt -= tolerance;
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xlam = (par.one_es * tanphi * this->m_proj_parm.sa + sin(lamt) * this->m_proj_parm.ca) / c;
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lamdp = atan(xlam) + fac;
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if (fabs(fabs(sav) - fabs(lamdp)) < tolerance)
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break;
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sav = lamdp;
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}
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if (!l || ++nn >= 3 || (lamdp > this->m_proj_parm.rlm && lamdp < this->m_proj_parm.rlm2))
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break;
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if (lamdp <= this->m_proj_parm.rlm)
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lampp = two_and_half_pi;
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else if (lamdp >= this->m_proj_parm.rlm2)
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lampp = half_pi;
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}
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if (l) {
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sp = sin(lp_lat);
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phidp = aasin((par.one_es * this->m_proj_parm.ca * sp - this->m_proj_parm.sa * cos(lp_lat) *
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sin(lamt)) / sqrt(1. - par.es * sp * sp));
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tanph = log(tan(fourth_pi + .5 * phidp));
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sd = sin(lamdp);
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sdsq = sd * sd;
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s = this->m_proj_parm.p22 * this->m_proj_parm.sa * cos(lamdp) * sqrt((1. + this->m_proj_parm.t * sdsq)
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/ ((1. + this->m_proj_parm.w * sdsq) * (1. + this->m_proj_parm.q * sdsq)));
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d = sqrt(this->m_proj_parm.xj * this->m_proj_parm.xj + s * s);
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xy_x = this->m_proj_parm.b * lamdp + this->m_proj_parm.a2 * sin(2. * lamdp) + this->m_proj_parm.a4 *
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sin(lamdp * 4.) - tanph * s / d;
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xy_y = this->m_proj_parm.c1 * sd + this->m_proj_parm.c3 * sin(lamdp * 3.) + tanph * this->m_proj_parm.xj / d;
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} else
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xy_x = xy_y = HUGE_VAL;
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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 fourth_pi = detail::fourth_pi<T>();
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static const T half_pi = detail::half_pi<T>();
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int nn;
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T lamt, sdsq, s, lamdp, phidp, sppsq, dd, sd, sl, fac, scl, sav, spp;
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lamdp = xy_x / this->m_proj_parm.b;
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nn = 50;
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do {
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sav = lamdp;
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sd = sin(lamdp);
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sdsq = sd * sd;
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s = this->m_proj_parm.p22 * this->m_proj_parm.sa * cos(lamdp) * sqrt((1. + this->m_proj_parm.t * sdsq)
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/ ((1. + this->m_proj_parm.w * sdsq) * (1. + this->m_proj_parm.q * sdsq)));
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lamdp = xy_x + xy_y * s / this->m_proj_parm.xj - this->m_proj_parm.a2 * sin(
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2. * lamdp) - this->m_proj_parm.a4 * sin(lamdp * 4.) - s / this->m_proj_parm.xj * (
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this->m_proj_parm.c1 * sin(lamdp) + this->m_proj_parm.c3 * sin(lamdp * 3.));
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lamdp /= this->m_proj_parm.b;
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} while (fabs(lamdp - sav) >= tolerance && --nn);
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sl = sin(lamdp);
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fac = exp(sqrt(1. + s * s / this->m_proj_parm.xj / this->m_proj_parm.xj) * (xy_y -
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this->m_proj_parm.c1 * sl - this->m_proj_parm.c3 * sin(lamdp * 3.)));
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phidp = 2. * (atan(fac) - fourth_pi);
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dd = sl * sl;
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if (fabs(cos(lamdp)) < tolerance)
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lamdp -= tolerance;
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spp = sin(phidp);
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sppsq = spp * spp;
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lamt = atan(((1. - sppsq * par.rone_es) * tan(lamdp) *
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this->m_proj_parm.ca - spp * this->m_proj_parm.sa * sqrt((1. + this->m_proj_parm.q * dd) * (
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1. - sppsq) - sppsq * this->m_proj_parm.u) / cos(lamdp)) / (1. - sppsq
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* (1. + this->m_proj_parm.u)));
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sl = lamt >= 0. ? 1. : -1.;
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scl = cos(lamdp) >= 0. ? 1. : -1;
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lamt -= half_pi * (1. - scl) * sl;
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lp_lon = lamt - this->m_proj_parm.p22 * lamdp;
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if (fabs(this->m_proj_parm.sa) < tolerance)
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lp_lat = aasin(spp / sqrt(par.one_es * par.one_es + par.es * sppsq));
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else
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lp_lat = atan((tan(lamdp) * cos(lamt) - this->m_proj_parm.ca * sin(lamt)) /
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(par.one_es * this->m_proj_parm.sa));
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}
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static inline std::string get_name()
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{
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return "lsat_ellipsoid";
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}
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};
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// Space oblique for LANDSAT
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template <typename Params, typename Parameters, typename T>
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inline void setup_lsat(Params const& params, Parameters& par, par_lsat<T>& proj_parm)
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{
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static T const d2r = geometry::math::d2r<T>();
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static T const pi = detail::pi<T>();
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static T const two_pi = detail::two_pi<T>();
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int land, path;
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T lam, alf, esc, ess;
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land = pj_get_param_i<srs::spar::lsat>(params, "lsat", srs::dpar::lsat);
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if (land <= 0 || land > 5)
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BOOST_THROW_EXCEPTION( projection_exception(error_lsat_not_in_range) );
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path = pj_get_param_i<srs::spar::path>(params, "path", srs::dpar::path);
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if (path <= 0 || path > (land <= 3 ? 251 : 233))
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BOOST_THROW_EXCEPTION( projection_exception(error_path_not_in_range) );
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if (land <= 3) {
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par.lam0 = d2r * 128.87 - two_pi / 251. * path;
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proj_parm.p22 = 103.2669323;
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alf = d2r * 99.092;
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} else {
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par.lam0 = d2r * 129.3 - two_pi / 233. * path;
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proj_parm.p22 = 98.8841202;
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alf = d2r * 98.2;
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}
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proj_parm.p22 /= 1440.;
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proj_parm.sa = sin(alf);
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proj_parm.ca = cos(alf);
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if (fabs(proj_parm.ca) < 1e-9)
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proj_parm.ca = 1e-9;
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esc = par.es * proj_parm.ca * proj_parm.ca;
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ess = par.es * proj_parm.sa * proj_parm.sa;
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proj_parm.w = (1. - esc) * par.rone_es;
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proj_parm.w = proj_parm.w * proj_parm.w - 1.;
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proj_parm.q = ess * par.rone_es;
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proj_parm.t = ess * (2. - par.es) * par.rone_es * par.rone_es;
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proj_parm.u = esc * par.rone_es;
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proj_parm.xj = par.one_es * par.one_es * par.one_es;
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proj_parm.rlm = pi * (1. / 248. + .5161290322580645);
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proj_parm.rlm2 = proj_parm.rlm + two_pi;
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proj_parm.a2 = proj_parm.a4 = proj_parm.b = proj_parm.c1 = proj_parm.c3 = 0.;
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seraz0(0., 1., proj_parm);
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for (lam = 9.; lam <= 81.0001; lam += 18.)
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seraz0(lam, 4., proj_parm);
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for (lam = 18; lam <= 72.0001; lam += 18.)
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seraz0(lam, 2., proj_parm);
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seraz0(90., 1., proj_parm);
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proj_parm.a2 /= 30.;
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proj_parm.a4 /= 60.;
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proj_parm.b /= 30.;
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proj_parm.c1 /= 15.;
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proj_parm.c3 /= 45.;
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}
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}} // namespace detail::lsat
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#endif // doxygen
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/*!
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\brief Space oblique for LANDSAT 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 Projection parameters
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- lsat (integer)
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- path (integer)
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\par Example
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\image html ex_lsat.gif
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*/
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template <typename T, typename Parameters>
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struct lsat_ellipsoid : public detail::lsat::base_lsat_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline lsat_ellipsoid(Params const& params, Parameters & par)
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{
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detail::lsat::setup_lsat(params, 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_lsat, lsat_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(lsat_entry, lsat_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(lsat_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(lsat, lsat_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_LSAT_HPP
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