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-rw-r--r--boost/geometry/srs/projections/proj/krovak.hpp286
1 files changed, 111 insertions, 175 deletions
diff --git a/boost/geometry/srs/projections/proj/krovak.hpp b/boost/geometry/srs/projections/proj/krovak.hpp
index 09c24772ed..a008f181db 100644
--- a/boost/geometry/srs/projections/proj/krovak.hpp
+++ b/boost/geometry/srs/projections/proj/krovak.hpp
@@ -1,13 +1,9 @@
-#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.
+// Boost.Geometry - gis-projections (based on PROJ4)
// 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.
+// 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,
@@ -19,12 +15,12 @@
// PROJ4 is maintained by Frank Warmerdam
// PROJ4 is converted to Boost.Geometry by Barend Gehrels
-// Last updated version of proj: 4.9.1
+// Last updated version of proj: 5.0.0
// Original copyright notice:
// Purpose: Implementation of the krovak (Krovak) projection.
-// Definition: http://www.ihsenergy.com/epsg/guid7.html#1.4.3
+// 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
@@ -46,6 +42,9 @@
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
+#ifndef BOOST_GEOMETRY_PROJECTIONS_KROVAK_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_KROVAK_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>
@@ -56,7 +55,7 @@ namespace boost { namespace geometry
namespace srs { namespace par4
{
- struct krovak {};
+ struct krovak {}; // Krovak
}} //namespace srs::par4
@@ -65,10 +64,23 @@ namespace projections
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace krovak
{
+ static double epsilon = 1e-15;
+ static double S45 = 0.785398163397448; /* 45 deg */
+ static double S90 = 1.570796326794896; /* 90 deg */
+ static double UQ = 1.04216856380474; /* DU(2, 59, 42, 42.69689) */
+ static double S0 = 1.37008346281555; /* Latitude of pseudo standard parallel 78deg 30'00" N */
+ /* Not sure at all of the appropriate number for max_iter... */
+ static int max_iter = 100;
+
template <typename T>
struct par_krovak
{
- T C_x;
+ T alpha;
+ T k;
+ T n;
+ T rho0;
+ T ad;
+ int czech;
};
/**
@@ -95,164 +107,81 @@ namespace projections
**/
// 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>
+ template <typename T, typename Parameters>
+ struct base_krovak_ellipsoid
+ : public base_t_fi<base_krovak_ellipsoid<T, Parameters>, T, Parameters>
{
-
- typedef CalculationType geographic_type;
- typedef CalculationType cartesian_type;
-
- par_krovak<CalculationType> m_proj_parm;
+ par_krovak<T> m_proj_parm;
inline base_krovak_ellipsoid(const Parameters& par)
- : base_t_fi<base_krovak_ellipsoid<CalculationType, Parameters>,
- CalculationType, Parameters>(*this, par) {}
+ : base_t_fi<base_krovak_ellipsoid<T, Parameters>, T, 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
+ inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& 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));
+ T gfi, u, deltav, s, d, eps, rho;
- 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. );
+ gfi = math::pow( (T(1) + this->m_par.e * sin(lp_lat)) / (T(1) - this->m_par.e * sin(lp_lat)), this->m_proj_parm.alpha * this->m_par.e / T(2));
- k = tan( u0 / 2. + s45) / pow (tan(fi0 / 2. + s45) , alfa) * g;
+ u = 2. * (atan(this->m_proj_parm.k * math::pow( tan(lp_lat / T(2) + S45), this->m_proj_parm.alpha) / gfi)-S45);
+ deltav = -lp_lon * this->m_proj_parm.alpha;
- 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.));
+ s = asin(cos(this->m_proj_parm.ad) * sin(u) + sin(this->m_proj_parm.ad) * cos(u) * cos(deltav));
+ d = asin(cos(u) * sin(deltav) / cos(s));
- u= 2. * (atan(k * pow( tan(lp_lat / 2. + s45), alfa) / gfi)-s45);
+ eps = this->m_proj_parm.n * d;
+ rho = this->m_proj_parm.rho0 * math::pow(tan(S0 / T(2) + S45) , this->m_proj_parm.n) / math::pow(tan(s / T(2) + S45) , this->m_proj_parm.n);
- deltav = - lp_lon * alfa;
+ xy_y = rho * cos(eps);
+ xy_x = rho * sin(eps);
- 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;
- }
+ xy_y *= this->m_proj_parm.czech;
+ xy_x *= this->m_proj_parm.czech;
}
// 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
+ inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& 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);
+ T u, deltav, s, d, eps, rho, fi1, xy0;
+ int i;
+
+ // TODO: replace with std::swap()
+ xy0 = xy_x;
+ xy_x = xy_y;
+ xy_y = xy0;
+
+ xy_x *= this->m_proj_parm.czech;
+ xy_y *= this->m_proj_parm.czech;
+
+ rho = 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));
+ d = eps / sin(S0);
+ s = T(2) * (atan(math::pow(this->m_proj_parm.rho0 / rho, T(1) / this->m_proj_parm.n) * tan(S0 / T(2) + S45)) - S45);
- lp_lon = this->m_par.lam0 - deltav / alfa;
+ u = asin(cos(this->m_proj_parm.ad) * sin(s) - sin(this->m_proj_parm.ad) * cos(s) * cos(d));
+ deltav = asin(cos(s) * sin(d) / cos(u));
- /* ITERATION FOR lp_lat */
- fi1 = u;
+ lp_lon = this->m_par.lam0 - deltav / this->m_proj_parm.alpha;
- 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);
+ /* ITERATION FOR lp_lat */
+ fi1 = u;
- if (fabs(fi1 - lp_lat) < 0.000000000000001) ok=1;
- fi1 = lp_lat;
+ for (i = max_iter; i ; --i) {
+ lp_lat = T(2) * ( atan( math::pow( this->m_proj_parm.k, T(-1) / this->m_proj_parm.alpha) *
+ math::pow( tan(u / T(2) + S45) , T(1) / this->m_proj_parm.alpha) *
+ math::pow( (T(1) + this->m_par.e * sin(fi1)) / (T(1) - this->m_par.e * sin(fi1)) , this->m_par.e / T(2))
+ ) - S45);
- }
- while (ok==0);
+ if (fabs(fi1 - lp_lat) < epsilon)
+ break;
+ fi1 = lp_lat;
+ }
+ if( i == 0 )
+ BOOST_THROW_EXCEPTION( projection_exception(error_non_convergent) );
lp_lon -= this->m_par.lam0;
}
@@ -268,32 +197,39 @@ namespace projections
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;
+ T u0, n0, g;
/* 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 */
+ /* if latitude of projection center is not set, use 49d30'N */
+ if (!pj_param_exists(par.params, "lat_0"))
+ 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_exists(par.params, "lon_0"))
+ par.lam0 = 0.7417649320975901 - 0.308341501185665;
+
+ /* if scale not set default to 0.9999 */
+ if (!pj_param_exists(par.params, "k"))
+ par.k0 = 0.9999;
+
+ proj_parm.czech = 1;
+ if( !pj_param_exists(par.params, "czech") )
+ proj_parm.czech = -1;
+
+ /* Set up shared parameters between forward and inverse */
+ proj_parm.alpha = sqrt(T(1) + (par.es * math::pow(cos(par.phi0), 4)) / (T(1) - par.es));
+ u0 = asin(sin(par.phi0) / proj_parm.alpha);
+ g = math::pow( (T(1) + par.e * sin(par.phi0)) / (T(1) - par.e * sin(par.phi0)) , proj_parm.alpha * par.e / T(2) );
+ proj_parm.k = tan( u0 / 2. + S45) / math::pow(tan(par.phi0 / T(2) + S45) , proj_parm.alpha) * g;
+ n0 = sqrt(T(1) - par.es) / (T(1) - par.es * math::pow(sin(par.phi0), 2));
+ proj_parm.n = sin(S0);
+ proj_parm.rho0 = par.k0 * n0 / tan(S0);
+ proj_parm.ad = S90 - UQ;
}
}} // namespace detail::krovak
@@ -316,10 +252,10 @@ namespace projections
\par Example
\image html ex_krovak.gif
*/
- template <typename CalculationType, typename Parameters>
- struct krovak_ellipsoid : public detail::krovak::base_krovak_ellipsoid<CalculationType, Parameters>
+ template <typename T, typename Parameters>
+ struct krovak_ellipsoid : public detail::krovak::base_krovak_ellipsoid<T, Parameters>
{
- inline krovak_ellipsoid(const Parameters& par) : detail::krovak::base_krovak_ellipsoid<CalculationType, Parameters>(par)
+ inline krovak_ellipsoid(const Parameters& par) : detail::krovak::base_krovak_ellipsoid<T, Parameters>(par)
{
detail::krovak::setup_krovak(this->m_par, this->m_proj_parm);
}
@@ -333,20 +269,20 @@ namespace projections
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>
+ template <typename T, typename Parameters>
+ class krovak_entry : public detail::factory_entry<T, Parameters>
{
public :
- virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ virtual base_v<T, Parameters>* create_new(const Parameters& par) const
{
- return new base_v_fi<krovak_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ return new base_v_fi<krovak_ellipsoid<T, Parameters>, T, Parameters>(par);
}
};
- template <typename CalculationType, typename Parameters>
- inline void krovak_init(detail::base_factory<CalculationType, Parameters>& factory)
+ template <typename T, typename Parameters>
+ inline void krovak_init(detail::base_factory<T, Parameters>& factory)
{
- factory.add_to_factory("krovak", new krovak_entry<CalculationType, Parameters>);
+ factory.add_to_factory("krovak", new krovak_entry<T, Parameters>);
}
} // namespace detail