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+#ifndef BOOST_GEOMETRY_PROJECTIONS_LSAT_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_LSAT_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, 2018.
+// Modifications copyright (c) 2017-2018, 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:
+
+// 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/aasincos.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace srs { namespace par4
+{
+ struct lsat {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace lsat
+ {
+ static const double TOL = 1e-7;
+ //static const double PI_HALFPI = 4.71238898038468985766;
+ //static const double TWOPI_HALFPI = 7.85398163397448309610;
+
+ template <typename T>
+ struct par_lsat
+ {
+ T a2, a4, b, c1, c3;
+ T q, t, u, w, p22, sa, ca, xj, rlm, rlm2;
+ };
+
+ /* based upon Snyder and Linck, USGS-NMD */
+ template <typename T>
+ inline void
+ seraz0(T lam, T const& mult, par_lsat<T>& proj_parm)
+ {
+ T sdsq, h, s, fc, sd, sq, d__1;
+
+ lam *= geometry::math::d2r<T>();
+ sd = sin(lam);
+ sdsq = sd * sd;
+ s = proj_parm.p22 * proj_parm.sa * cos(lam) * sqrt((1. + proj_parm.t * sdsq) / ((
+ 1. + proj_parm.w * sdsq) * (1. + proj_parm.q * sdsq)));
+ d__1 = 1. + proj_parm.q * sdsq;
+ h = sqrt((1. + proj_parm.q * sdsq) / (1. + proj_parm.w * sdsq)) * ((1. +
+ proj_parm.w * sdsq) / (d__1 * d__1) - proj_parm.p22 * proj_parm.ca);
+ sq = sqrt(proj_parm.xj * proj_parm.xj + s * s);
+ proj_parm.b += fc = mult * (h * proj_parm.xj - s * s) / sq;
+ proj_parm.a2 += fc * cos(lam + lam);
+ proj_parm.a4 += fc * cos(lam * 4.);
+ fc = mult * s * (h + proj_parm.xj) / sq;
+ proj_parm.c1 += fc * cos(lam);
+ proj_parm.c3 += fc * cos(lam * 3.);
+ }
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_lsat_ellipsoid : public base_t_fi<base_lsat_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_lsat<CalculationType> m_proj_parm;
+
+ inline base_lsat_ellipsoid(const Parameters& par)
+ : base_t_fi<base_lsat_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 FORTPI = detail::FORTPI<CalculationType>();
+ static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
+ static const CalculationType PI_HALFPI = detail::PI_HALFPI<CalculationType>();
+ static const CalculationType TWOPI_HALFPI = detail::TWOPI_HALFPI<CalculationType>();
+
+ int l, nn;
+ CalculationType lamt, xlam, sdsq, c, d, s, lamdp, phidp, lampp, tanph,
+ lamtp, cl, sd, sp, fac, sav, tanphi;
+
+ if (lp_lat > HALFPI)
+ lp_lat = HALFPI;
+ else if (lp_lat < -HALFPI)
+ lp_lat = -HALFPI;
+ lampp = lp_lat >= 0. ? HALFPI : PI_HALFPI;
+ tanphi = tan(lp_lat);
+ for (nn = 0;;) {
+ sav = lampp;
+ lamtp = lp_lon + this->m_proj_parm.p22 * lampp;
+ cl = cos(lamtp);
+ if (fabs(cl) < TOL)
+ lamtp -= TOL;
+ fac = lampp - sin(lampp) * (cl < 0. ? -HALFPI : HALFPI);
+ for (l = 50; l; --l) {
+ lamt = lp_lon + this->m_proj_parm.p22 * sav;
+ if (fabs(c = cos(lamt)) < TOL)
+ lamt -= TOL;
+ xlam = (this->m_par.one_es * tanphi * this->m_proj_parm.sa + sin(lamt) * this->m_proj_parm.ca) / c;
+ lamdp = atan(xlam) + fac;
+ if (fabs(fabs(sav) - fabs(lamdp)) < TOL)
+ break;
+ sav = lamdp;
+ }
+ if (!l || ++nn >= 3 || (lamdp > this->m_proj_parm.rlm && lamdp < this->m_proj_parm.rlm2))
+ break;
+ if (lamdp <= this->m_proj_parm.rlm)
+ lampp = TWOPI_HALFPI;
+ else if (lamdp >= this->m_proj_parm.rlm2)
+ lampp = HALFPI;
+ }
+ if (l) {
+ sp = sin(lp_lat);
+ phidp = aasin((this->m_par.one_es * this->m_proj_parm.ca * sp - this->m_proj_parm.sa * cos(lp_lat) *
+ sin(lamt)) / sqrt(1. - this->m_par.es * sp * sp));
+ tanph = log(tan(FORTPI + .5 * phidp));
+ sd = sin(lamdp);
+ sdsq = sd * sd;
+ s = this->m_proj_parm.p22 * this->m_proj_parm.sa * cos(lamdp) * sqrt((1. + this->m_proj_parm.t * sdsq)
+ / ((1. + this->m_proj_parm.w * sdsq) * (1. + this->m_proj_parm.q * sdsq)));
+ d = sqrt(this->m_proj_parm.xj * this->m_proj_parm.xj + s * s);
+ xy_x = this->m_proj_parm.b * lamdp + this->m_proj_parm.a2 * sin(2. * lamdp) + this->m_proj_parm.a4 *
+ sin(lamdp * 4.) - tanph * s / d;
+ xy_y = this->m_proj_parm.c1 * sd + this->m_proj_parm.c3 * sin(lamdp * 3.) + tanph * this->m_proj_parm.xj / d;
+ } else
+ xy_x = xy_y = HUGE_VAL;
+ }
+
+ // 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 FORTPI = detail::FORTPI<CalculationType>();
+ static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
+
+ int nn;
+ CalculationType lamt, sdsq, s, lamdp, phidp, sppsq, dd, sd, sl, fac, scl, sav, spp;
+
+ lamdp = xy_x / this->m_proj_parm.b;
+ nn = 50;
+ do {
+ sav = lamdp;
+ sd = sin(lamdp);
+ sdsq = sd * sd;
+ s = this->m_proj_parm.p22 * this->m_proj_parm.sa * cos(lamdp) * sqrt((1. + this->m_proj_parm.t * sdsq)
+ / ((1. + this->m_proj_parm.w * sdsq) * (1. + this->m_proj_parm.q * sdsq)));
+ lamdp = xy_x + xy_y * s / this->m_proj_parm.xj - this->m_proj_parm.a2 * sin(
+ 2. * lamdp) - this->m_proj_parm.a4 * sin(lamdp * 4.) - s / this->m_proj_parm.xj * (
+ this->m_proj_parm.c1 * sin(lamdp) + this->m_proj_parm.c3 * sin(lamdp * 3.));
+ lamdp /= this->m_proj_parm.b;
+ } while (fabs(lamdp - sav) >= TOL && --nn);
+ sl = sin(lamdp);
+ fac = exp(sqrt(1. + s * s / this->m_proj_parm.xj / this->m_proj_parm.xj) * (xy_y -
+ this->m_proj_parm.c1 * sl - this->m_proj_parm.c3 * sin(lamdp * 3.)));
+ phidp = 2. * (atan(fac) - FORTPI);
+ dd = sl * sl;
+ if (fabs(cos(lamdp)) < TOL)
+ lamdp -= TOL;
+ spp = sin(phidp);
+ sppsq = spp * spp;
+ lamt = atan(((1. - sppsq * this->m_par.rone_es) * tan(lamdp) *
+ this->m_proj_parm.ca - spp * this->m_proj_parm.sa * sqrt((1. + this->m_proj_parm.q * dd) * (
+ 1. - sppsq) - sppsq * this->m_proj_parm.u) / cos(lamdp)) / (1. - sppsq
+ * (1. + this->m_proj_parm.u)));
+ sl = lamt >= 0. ? 1. : -1.;
+ scl = cos(lamdp) >= 0. ? 1. : -1;
+ lamt -= HALFPI * (1. - scl) * sl;
+ lp_lon = lamt - this->m_proj_parm.p22 * lamdp;
+ if (fabs(this->m_proj_parm.sa) < TOL)
+ lp_lat = aasin(spp / sqrt(this->m_par.one_es * this->m_par.one_es + this->m_par.es * sppsq));
+ else
+ lp_lat = atan((tan(lamdp) * cos(lamt) - this->m_proj_parm.ca * sin(lamt)) /
+ (this->m_par.one_es * this->m_proj_parm.sa));
+ }
+
+ static inline std::string get_name()
+ {
+ return "lsat_ellipsoid";
+ }
+
+ };
+
+ // Space oblique for LANDSAT
+ template <typename Parameters, typename T>
+ inline void setup_lsat(Parameters& par, par_lsat<T>& proj_parm)
+ {
+ int land, path;
+ T lam, alf, esc, ess;
+
+ land = pj_param(par.params, "ilsat").i;
+ if (land <= 0 || land > 5)
+ BOOST_THROW_EXCEPTION( projection_exception(-28) );
+ path = pj_param(par.params, "ipath").i;
+ if (path <= 0 || path > (land <= 3 ? 251 : 233))
+ BOOST_THROW_EXCEPTION( projection_exception(-29) );
+ if (land <= 3) {
+ par.lam0 = geometry::math::d2r<T>() * 128.87 - geometry::math::two_pi<T>() / 251. * path;
+ proj_parm.p22 = 103.2669323;
+ alf = geometry::math::d2r<T>() * 99.092;
+ } else {
+ par.lam0 = geometry::math::d2r<T>() * 129.3 - geometry::math::two_pi<T>() / 233. * path;
+ proj_parm.p22 = 98.8841202;
+ alf = geometry::math::d2r<T>() * 98.2;
+ }
+ proj_parm.p22 /= 1440.;
+ proj_parm.sa = sin(alf);
+ proj_parm.ca = cos(alf);
+ if (fabs(proj_parm.ca) < 1e-9)
+ proj_parm.ca = 1e-9;
+ esc = par.es * proj_parm.ca * proj_parm.ca;
+ ess = par.es * proj_parm.sa * proj_parm.sa;
+ proj_parm.w = (1. - esc) * par.rone_es;
+ proj_parm.w = proj_parm.w * proj_parm.w - 1.;
+ proj_parm.q = ess * par.rone_es;
+ proj_parm.t = ess * (2. - par.es) * par.rone_es * par.rone_es;
+ proj_parm.u = esc * par.rone_es;
+ proj_parm.xj = par.one_es * par.one_es * par.one_es;
+ proj_parm.rlm = geometry::math::pi<T>() * (1. / 248. + .5161290322580645);
+ proj_parm.rlm2 = proj_parm.rlm + geometry::math::two_pi<T>();
+ proj_parm.a2 = proj_parm.a4 = proj_parm.b = proj_parm.c1 = proj_parm.c3 = 0.;
+ seraz0(0., 1., proj_parm);
+ for (lam = 9.; lam <= 81.0001; lam += 18.)
+ seraz0(lam, 4., proj_parm);
+ for (lam = 18; lam <= 72.0001; lam += 18.)
+ seraz0(lam, 2., proj_parm);
+ seraz0(90., 1., proj_parm);
+ proj_parm.a2 /= 30.;
+ proj_parm.a4 /= 60.;
+ proj_parm.b /= 30.;
+ proj_parm.c1 /= 15.;
+ proj_parm.c3 /= 45.;
+ }
+
+ }} // namespace detail::lsat
+ #endif // doxygen
+
+ /*!
+ \brief Space oblique for LANDSAT 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
+ - lsat (integer)
+ - path (integer)
+ \par Example
+ \image html ex_lsat.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct lsat_ellipsoid : public detail::lsat::base_lsat_ellipsoid<CalculationType, Parameters>
+ {
+ inline lsat_ellipsoid(const Parameters& par) : detail::lsat::base_lsat_ellipsoid<CalculationType, Parameters>(par)
+ {
+ detail::lsat::setup_lsat(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::lsat, lsat_ellipsoid, lsat_ellipsoid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class lsat_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<lsat_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void lsat_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("lsat", new lsat_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_LSAT_HPP
+