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+#ifndef BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_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.
+// Modifications copyright (c) 2017, 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>
+
+namespace boost { namespace geometry
+{
+
+namespace srs { namespace par4
+{
+ struct mbtfpq {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace mbtfpq
+ {
+
+ static const int NITER = 20;
+ static const double EPS = 1e-7;
+ static const double ONETOL = 1.000001;
+ static const double C = 1.70710678118654752440;
+ static const double RC = 0.58578643762690495119;
+ static const double FYC = 1.87475828462269495505;
+ static const double RYC = 0.53340209679417701685;
+ static const double FXC = 0.31245971410378249250;
+ static const double RXC = 3.20041258076506210122;
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_mbtfpq_spheroid : public base_t_fi<base_mbtfpq_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+
+ inline base_mbtfpq_spheroid(const Parameters& par)
+ : base_t_fi<base_mbtfpq_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>(*this, par) {}
+
+ // FORWARD(s_forward) spheroid
+ // 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
+ {
+ CalculationType th1, c;
+ int i;
+
+ c = C * sin(lp_lat);
+ for (i = NITER; i; --i) {
+ lp_lat -= th1 = (sin(.5*lp_lat) + sin(lp_lat) - c) /
+ (.5*cos(.5*lp_lat) + cos(lp_lat));
+ if (fabs(th1) < EPS) break;
+ }
+ xy_x = FXC * lp_lon * (1.0 + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
+ xy_y = FYC * sin(0.5 * lp_lat);
+ }
+
+ // INVERSE(s_inverse) spheroid
+ // 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 ONEPI = detail::ONEPI<CalculationType>();
+ static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
+
+ CalculationType t;
+
+ lp_lat = RYC * xy_y;
+ if (fabs(lp_lat) > 1.) {
+ if (fabs(lp_lat) > ONETOL)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ else if (lp_lat < 0.) {
+ t = -1.; lp_lat = -ONEPI;
+ } else {
+ t = 1.; lp_lat = ONEPI;
+ }
+ } else
+ lp_lat = 2. * asin(t = lp_lat);
+ lp_lon = RXC * xy_x / (1. + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
+ lp_lat = RC * (t + sin(lp_lat));
+ if (fabs(lp_lat) > 1.)
+ if (fabs(lp_lat) > ONETOL)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ else
+ lp_lat = lp_lat < 0. ? -HALFPI : HALFPI;
+ else
+ lp_lat = asin(lp_lat);
+ }
+
+ static inline std::string get_name()
+ {
+ return "mbtfpq_spheroid";
+ }
+
+ };
+
+ // McBryde-Thomas Flat-Polar Quartic
+ template <typename Parameters>
+ inline void setup_mbtfpq(Parameters& par)
+ {
+ par.es = 0.;
+ }
+
+ }} // namespace detail::mbtfpq
+ #endif // doxygen
+
+ /*!
+ \brief McBryde-Thomas Flat-Polar Quartic projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Cylindrical
+ - Spheroid
+ \par Example
+ \image html ex_mbtfpq.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct mbtfpq_spheroid : public detail::mbtfpq::base_mbtfpq_spheroid<CalculationType, Parameters>
+ {
+ inline mbtfpq_spheroid(const Parameters& par) : detail::mbtfpq::base_mbtfpq_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::mbtfpq::setup_mbtfpq(this->m_par);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::mbtfpq, mbtfpq_spheroid, mbtfpq_spheroid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class mbtfpq_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<mbtfpq_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void mbtfpq_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("mbtfpq", new mbtfpq_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP
+