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+#ifndef BOOST_GEOMETRY_PROJECTIONS_KROVAK_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_KROVAK_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:
+
+// Purpose: Implementation of the krovak (Krovak) projection.
+// Definition: http://www.ihsenergy.com/epsg/guid7.html#1.4.3
+// Author: Thomas Flemming, tf@ttqv.com
+// Copyright (c) 2001, Thomas Flemming, tf@ttqv.com
+
+// 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/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 krovak {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace krovak
+ {
+ template <typename T>
+ struct par_krovak
+ {
+ T C_x;
+ };
+
+ /**
+ NOTES: According to EPSG the full Krovak projection method should have
+ the following parameters. Within PROJ.4 the azimuth, and pseudo
+ standard parallel are hardcoded in the algorithm and can't be
+ altered from outside. The others all have defaults to match the
+ common usage with Krovak projection.
+
+ lat_0 = latitude of centre of the projection
+
+ lon_0 = longitude of centre of the projection
+
+ ** = azimuth (true) of the centre line passing through the centre of the projection
+
+ ** = latitude of pseudo standard parallel
+
+ k = scale factor on the pseudo standard parallel
+
+ x_0 = False Easting of the centre of the projection at the apex of the cone
+
+ y_0 = False Northing of the centre of the projection at the apex of the cone
+
+ **/
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_krovak_ellipsoid : public base_t_fi<base_krovak_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_krovak<CalculationType> m_proj_parm;
+
+ inline base_krovak_ellipsoid(const Parameters& par)
+ : base_t_fi<base_krovak_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
+ {
+ /* calculate xy from lat/lon */
+
+ /* Constants, identical to inverse transform function */
+ CalculationType s45, s90, e2, e, alfa, uq, u0, g, k, k1, n0, ro0, ad, a, s0, n;
+ CalculationType gfi, u, fi0, deltav, s, d, eps, ro;
+
+
+ s45 = 0.785398163397448; /* 45 DEG */
+ s90 = 2 * s45;
+ fi0 = this->m_par.phi0; /* Latitude of projection centre 49 DEG 30' */
+
+ /* Ellipsoid is used as Parameter in for.c and inv.c, therefore a must
+ be set to 1 here.
+ Ellipsoid Bessel 1841 a = 6377397.155m 1/f = 299.1528128,
+ e2=0.006674372230614;
+ */
+ a = 1; /* 6377397.155; */
+ /* e2 = this->m_par.es;*/ /* 0.006674372230614; */
+ e2 = 0.006674372230614;
+ e = sqrt(e2);
+
+ alfa = sqrt(1. + (e2 * pow(cos(fi0), 4)) / (1. - e2));
+
+ uq = 1.04216856380474; /* DU(2, 59, 42, 42.69689) */
+ u0 = asin(sin(fi0) / alfa);
+ g = pow( (1. + e * sin(fi0)) / (1. - e * sin(fi0)) , alfa * e / 2. );
+
+ k = tan( u0 / 2. + s45) / pow (tan(fi0 / 2. + s45) , alfa) * g;
+
+ k1 = this->m_par.k0;
+ n0 = a * sqrt(1. - e2) / (1. - e2 * pow(sin(fi0), 2));
+ s0 = 1.37008346281555; /* Latitude of pseudo standard parallel 78 DEG 30'00" N */
+ n = sin(s0);
+ ro0 = k1 * n0 / tan(s0);
+ ad = s90 - uq;
+
+ /* Transformation */
+
+ gfi =pow ( ((1. + e * sin(lp_lat)) /
+ (1. - e * sin(lp_lat))) , (alfa * e / 2.));
+
+ u= 2. * (atan(k * pow( tan(lp_lat / 2. + s45), alfa) / gfi)-s45);
+
+ deltav = - lp_lon * alfa;
+
+ s = asin(cos(ad) * sin(u) + sin(ad) * cos(u) * cos(deltav));
+ d = asin(cos(u) * sin(deltav) / cos(s));
+ eps = n * d;
+ ro = ro0 * pow(tan(s0 / 2. + s45) , n) / pow(tan(s / 2. + s45) , n) ;
+
+ /* x and y are reverted! */
+ xy_y = ro * cos(eps) / a;
+ xy_x = ro * sin(eps) / a;
+
+ if( !pj_param(this->m_par.params, "tczech").i )
+ {
+ xy_y *= -1.0;
+ xy_x *= -1.0;
+ }
+ }
+
+ // 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
+ {
+ /* calculate lat/lon from xy */
+
+ /* Constants, identisch wie in der Umkehrfunktion */
+ CalculationType s45, s90, fi0, e2, e, alfa, uq, u0, g, k, k1, n0, ro0, ad, a, s0, n;
+ CalculationType u, deltav, s, d, eps, ro, fi1, xy0;
+ int ok;
+
+ s45 = 0.785398163397448; /* 45 DEG */
+ s90 = 2 * s45;
+ fi0 = this->m_par.phi0; /* Latitude of projection centre 49 DEG 30' */
+
+
+ /* Ellipsoid is used as Parameter in for.c and inv.c, therefore a must
+ be set to 1 here.
+ Ellipsoid Bessel 1841 a = 6377397.155m 1/f = 299.1528128,
+ e2=0.006674372230614;
+ */
+ a = 1; /* 6377397.155; */
+ /* e2 = this->m_par.es; */ /* 0.006674372230614; */
+ e2 = 0.006674372230614;
+ e = sqrt(e2);
+
+ alfa = sqrt(1. + (e2 * pow(cos(fi0), 4)) / (1. - e2));
+ uq = 1.04216856380474; /* DU(2, 59, 42, 42.69689) */
+ u0 = asin(sin(fi0) / alfa);
+ g = pow( (1. + e * sin(fi0)) / (1. - e * sin(fi0)) , alfa * e / 2. );
+
+ k = tan( u0 / 2. + s45) / pow (tan(fi0 / 2. + s45) , alfa) * g;
+
+ k1 = this->m_par.k0;
+ n0 = a * sqrt(1. - e2) / (1. - e2 * pow(sin(fi0), 2));
+ s0 = 1.37008346281555; /* Latitude of pseudo standard parallel 78 DEG 30'00" N */
+ n = sin(s0);
+ ro0 = k1 * n0 / tan(s0);
+ ad = s90 - uq;
+
+
+ /* Transformation */
+ /* revert y, x*/
+ xy0=xy_x;
+ xy_x=xy_y;
+ xy_y=xy0;
+
+ if( !pj_param(this->m_par.params, "tczech").i )
+ {
+ xy_x *= -1.0;
+ xy_y *= -1.0;
+ }
+
+ ro = sqrt(xy_x * xy_x + xy_y * xy_y);
+ eps = atan2(xy_y, xy_x);
+ d = eps / sin(s0);
+ s = 2. * (atan( pow(ro0 / ro, 1. / n) * tan(s0 / 2. + s45)) - s45);
+
+ u = asin(cos(ad) * sin(s) - sin(ad) * cos(s) * cos(d));
+ deltav = asin(cos(s) * sin(d) / cos(u));
+
+ lp_lon = this->m_par.lam0 - deltav / alfa;
+
+ /* ITERATION FOR lp_lat */
+ fi1 = u;
+
+ ok = 0;
+ do
+ {
+ lp_lat = 2. * ( atan( pow( k, -1. / alfa) *
+ pow( tan(u / 2. + s45) , 1. / alfa) *
+ pow( (1. + e * sin(fi1)) / (1. - e * sin(fi1)) , e / 2.)
+ ) - s45);
+
+ if (fabs(fi1 - lp_lat) < 0.000000000000001) ok=1;
+ fi1 = lp_lat;
+
+ }
+ while (ok==0);
+
+ lp_lon -= this->m_par.lam0;
+ }
+
+ static inline std::string get_name()
+ {
+ return "krovak_ellipsoid";
+ }
+
+ };
+
+ // Krovak
+ template <typename Parameters, typename T>
+ inline void setup_krovak(Parameters& par, par_krovak<T>& proj_parm)
+ {
+ T ts;
+ /* read some Parameters,
+ * here Latitude Truescale */
+
+ ts = pj_param(par.params, "rlat_ts").f;
+ proj_parm.C_x = ts;
+
+ /* we want Bessel as fixed ellipsoid */
+ par.a = 6377397.155;
+ par.e = sqrt(par.es = 0.006674372230614);
+
+ /* if latitude of projection center is not set, use 49d30'N */
+ if (!pj_param(par.params, "tlat_0").i)
+ par.phi0 = 0.863937979737193;
+
+ /* if center long is not set use 42d30'E of Ferro - 17d40' for Ferro */
+ /* that will correspond to using longitudes relative to greenwich */
+ /* as input and output, instead of lat/long relative to Ferro */
+ if (!pj_param(par.params, "tlon_0").i)
+ par.lam0 = 0.7417649320975901 - 0.308341501185665;
+
+ /* if scale not set default to 0.9999 */
+ if (!pj_param(par.params, "tk").i)
+ par.k0 = 0.9999;
+
+ /* always the same */
+ }
+
+ }} // namespace detail::krovak
+ #endif // doxygen
+
+ /*!
+ \brief Krovak projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Pseudocylindrical
+ - Ellipsoid
+ \par Projection parameters
+ - lat_ts: Latitude of true scale (degrees)
+ - lat_0: Latitude of origin
+ - lon_0: Central meridian
+ - k: Scale factor on the pseudo standard parallel
+ \par Example
+ \image html ex_krovak.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct krovak_ellipsoid : public detail::krovak::base_krovak_ellipsoid<CalculationType, Parameters>
+ {
+ inline krovak_ellipsoid(const Parameters& par) : detail::krovak::base_krovak_ellipsoid<CalculationType, Parameters>(par)
+ {
+ detail::krovak::setup_krovak(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::krovak, krovak_ellipsoid, krovak_ellipsoid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class krovak_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<krovak_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void krovak_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("krovak", new krovak_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_KROVAK_HPP
+
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