Added support for Krovak projection

gpxsee.pro

@@ -129,7 +129,8 @@ HEADERS += src/config.h \
     src/map/rectd.h \
     src/map/geocentric.h \
     src/map/mercator.h \
-    src/map/jnxmap.h
+    src/map/jnxmap.h \
+    src/map/krovak.h
 SOURCES += src/main.cpp \
     src/common/coordinates.cpp \
     src/common/rectc.cpp \
@@ -226,7 +227,8 @@ SOURCES += src/main.cpp \
     src/data/oziparsers.cpp \
     src/map/geocentric.cpp \
     src/map/mercator.cpp \
-    src/map/jnxmap.cpp
+    src/map/jnxmap.cpp \
+    src/map/krovak.cpp
 RESOURCES += gpxsee.qrc
 TRANSLATIONS = lang/gpxsee_cs.ts \
     lang/gpxsee_sv.ts \

pkg/csv/pcs.csv

@@ -21,6 +21,7 @@ ED50(ED77) / UTM zone 40N,2060,4154,16040,9001,9807,4400,8801,0,9102,8802,57,910
 ED50(ED77) / UTM zone 41N,2061,4154,16041,9001,9807,4400,8801,0,9102,8802,63,9102,8805,0.9996,9201,8806,500000,9001,8807,0,9001,,,,,,
 Dabola 1981 / UTM zone 28N,2063,4315,16028,9001,9807,4400,8801,0,9102,8802,-15,9102,8805,0.9996,9201,8806,500000,9001,8807,0,9001,,,,,,
 Dabola 1981 / UTM zone 29N,2064,4315,16029,9001,9807,4400,8801,0,9102,8802,-9,9102,8805,0.9996,9201,8806,500000,9001,8807,0,9001,,,,,,
+S-JTSK (Ferro) / Krovak,2065,4818,19952,9001,9819,6501,1036,30.1717303,9110,8806,0,9001,8807,0,9001,8811,49.3,9110,8818,78.3,9110,8819,0.9999,9201,8833,42.3,9110
 Naparima 1955 / UTM zone 20N,2067,4158,16020,9001,9807,4400,8801,0,9102,8802,-63,9102,8805,0.9996,9201,8806,500000,9001,8807,0,9001,,,,,,
 ELD79 / Libya zone 5,2068,4159,18240,9001,9807,4499,8801,0,9102,8802,9,9102,8805,0.9999,9201,8806,200000,9001,8807,0,9001,,,,,,
 ELD79 / Libya zone 6,2069,4159,18241,9001,9807,4499,8801,0,9102,8802,11,9102,8805,0.9999,9201,8806,200000,9001,8807,0,9001,,,,,,
@@ -1766,6 +1767,7 @@ Korea 2000 / West Belt 2010,5185,4737,5101,9001,9807,4530,8801,38,9102,8802,125,
 Korea 2000 / Central Belt 2010,5186,4737,5102,9001,9807,4530,8801,38,9102,8802,127,9102,8805,1,9201,8806,200000,9001,8807,600000,9001,,,,,,
 Korea 2000 / East Belt 2010,5187,4737,5103,9001,9807,4530,8801,38,9102,8802,129,9102,8805,1,9201,8806,200000,9001,8807,600000,9001,,,,,,
 Korea 2000 / East Sea Belt 2010,5188,4737,5104,9001,9807,4530,8801,38,9102,8802,131,9102,8805,1,9201,8806,200000,9001,8807,600000,9001,,,,,,
+S-JTSK (Ferro) / Krovak East North,5221,4818,5218,9001,1041,4499,1036,30.1717303,9110,8806,0,9001,8807,0,9001,8811,49.3,9110,8818,78.3,9110,8819,0.9999,9201,8833,42.3,9110
 WGS 84 / Gabon TM,5223,4326,5222,9001,9807,4499,8801,0,9102,8802,12,9102,8805,0.9996,9201,8806,500000,9001,8807,500000,9001,,,,,,
 Kandawala / Sri Lanka Grid,5234,4244,5231,9001,9807,4400,8801,7.0001729,9110,8802,80.461816,9110,8805,0.9999238418,9201,8806,200000,9001,8807,200000,9001,,,,,,
 SLD99 / Sri Lanka Grid 1999,5235,5233,5232,9001,9807,4400,8801,7.00016975,9110,8802,80.46181671,9110,8805,0.9999238418,9201,8806,500000,9001,8807,500000,9001,,,,,,
@@ -1844,6 +1846,8 @@ RSRGD2000 / MSLC2000,5479,4764,5475,9001,9802,4500,8821,-78,9110,8822,163,9110,8
 RSRGD2000 / BCLC2000,5480,4764,5476,9001,9802,4500,8821,-74.3,9110,8822,165,9110,8823,-73.4,9110,8824,-75.2,9110,8826,5000000,9001,8827,3000000,9001,,,
 RSRGD2000 / PCLC2000,5481,4764,5477,9001,9802,4500,8821,-71.3,9110,8822,166,9110,8823,-70.4,9110,8824,-72.2,9110,8826,3000000,9001,8827,1000000,9001,,,
 RGAF09 / UTM zone 20N,5490,5489,16020,9001,9807,4400,8801,0,9102,8802,-63,9102,8805,0.9996,9201,8806,500000,9001,8807,0,9001,,,,,,
+S-JTSK / Krovak,5513,4156,5509,9001,9819,6501,1036,30.1717303,9110,8806,0,9001,8807,0,9001,8811,49.3,9110,8818,78.3,9110,8819,0.9999,9201,8833,24.5,9110
+S-JTSK / Krovak East North,5514,4156,5510,9001,1041,4499,1036,30.1717303,9110,8806,0,9001,8807,0,9001,8811,49.3,9110,8818,78.3,9110,8819,0.9999,9201,8833,24.5,9110
 CI1971 / Chatham Islands Map Grid,5518,4672,5517,9001,9807,4500,8801,-44,9110,8802,-176.3,9110,8805,1,9201,8806,350000,9001,8807,650000,9001,,,,,,
 CI1979 / Chatham Islands Map Grid,5519,4673,5517,9001,9807,4500,8801,-44,9110,8802,-176.3,9110,8805,1,9201,8806,350000,9001,8807,650000,9001,,,,,,
 DHDN / 3-degree Gauss-Kruger zone 1,5520,4314,16261,9001,9807,4530,8801,0,9102,8802,3,9102,8805,1,9201,8806,1500000,9001,8807,0,9001,,,,,,

src/map/krovak.cpp

@@ -0,0 +1,74 @@
+#include "ellipsoid.h"
+#include "krovak.h"
+
+Krovak::Krovak(const Ellipsoid *ellipsoid, double standardParallel,
+  double azimuth, double scale, double centerLatitude, double longitudeOrigin,
+  double falseEasting, double falseNorthing, Orientation orientation)
+{
+	double phiC = deg2rad(centerLatitude);
+	double sinPhiC = sin(phiC);
+	double sinPhiC2 = sinPhiC * sinPhiC;
+	double cosPhiC = cos(phiC);
+	double cosPhiC2 = cosPhiC * cosPhiC;
+	double cosPhiC4 = cosPhiC2 * cosPhiC2;
+	double alphaC = deg2rad(azimuth);
+
+	_phiP = deg2rad(standardParallel);
+	_e = sqrt(ellipsoid->es());
+	_A = ellipsoid->radius() * sqrt(1.0 - ellipsoid->es())
+	  / (1.0 - ellipsoid->es() * sinPhiC2);
+	_B = sqrt(1.0 + (ellipsoid->es() * cosPhiC4 / (1.0 - ellipsoid->es())));
+	double gamma0 = asin(sinPhiC / _B);
+	_t0 = tan(M_PI_4 + gamma0 / 2.0) * pow((1.0 + _e * sinPhiC) /
+	  (1.0 - _e * sinPhiC), _e*_B / 2.0) / pow(tan(M_PI_4 + phiC/2.0), _B);
+	_n = sin(_phiP);
+	_r0 = scale * _A / tan(_phiP);
+	_FE = falseEasting;
+	_FN = falseNorthing;
+	_cosAlphaC = cos(alphaC);
+	_sinAlphaC = sin(alphaC);
+	_lambda0 = deg2rad(longitudeOrigin);
+	_orientation = orientation;
+}
+
+PointD Krovak::ll2xy(const Coordinates &c) const
+{
+	double phi = deg2rad(c.lat());
+	double lambda = deg2rad(c.lon());
+	double sinPhi = sin(phi);
+	double eSinPhi = _e * sinPhi;
+
+	double U = 2.0 * (atan(_t0 * pow(tan(phi/2.0 + M_PI_4), _B)
+	  / pow((1.0 + eSinPhi) / (1.0 - eSinPhi), _e * _B / 2.0)) - M_PI_4);
+	double V = _B * (_lambda0 - lambda);
+	double T = asin(_cosAlphaC * sin(U) + _sinAlphaC * cos(U) * cos(V));
+	double D = asin(cos(U) * sin(V) / cos(T));
+	double theta = _n * D;
+	double r = _r0 * pow(tan(M_PI_4 + _phiP / 2.0), _n)
+	  / pow(tan(T/2.0 + M_PI_4), _n);
+	double sign = (_orientation == North) ? -1.0 : 1.0;
+
+	return PointD(sign * (r * sin(theta) + _FE), sign * (r * cos(theta) + _FN));
+}
+
+Coordinates Krovak::xy2ll(const PointD &p) const
+{
+	double sign = (_orientation == North) ? -1.0 : 1.0;
+	double Xp = sign * p.y() - _FN;
+	double Yp = sign * p.x() - _FE;
+	double Xp2 = Xp * Xp;
+	double Yp2 = Yp * Yp;
+	double r = sqrt(Xp2 + Yp2);
+	double theta = atan(Yp / Xp);
+	double D = theta / sin(_phiP);
+	double T = 2.0 * (atan(pow(_r0 / r, 1.0/_n) * tan(M_PI_4 + _phiP/2.0))
+	  - M_PI_4);
+	double U = asin(_cosAlphaC * sin(T) - _sinAlphaC * cos(T) * cos(D));
+	double V = asin(cos(T) * sin(D) / cos(U));
+	double phi = U;
+	for (int i = 0; i < 3; i++)
+		phi = 2.0 * (atan(pow(_t0, -1.0/_B) * pow(tan(U/2.0 + M_PI_4), 1.0/_B)
+		  * pow((1.0 + _e * sin(phi))/(1.0 - _e * sin(phi)), _e/2.0)) - M_PI_4);
+
+	return Coordinates(rad2deg(_lambda0 - V/_B), rad2deg(phi));
+}

src/map/krovak.h

@@ -0,0 +1,32 @@
+#ifndef KROVAK_H
+#define KROVAK_H
+
+#include "ct.h"
+
+class Ellipsoid;
+
+class Krovak : public CT
+{
+public:
+	enum Orientation {
+		North,
+		South
+	};
+
+	Krovak(const Ellipsoid *ellipsoid, double standardParallel,
+	  double azimuth, double scale, double centerLatitude,
+	  double longitudeOrigin, double falseEasting, double falseNorthing,
+	  Orientation orientation);
+
+	virtual CT *clone() const {return new Krovak(*this);}
+
+	virtual PointD ll2xy(const Coordinates &c) const;
+	virtual Coordinates xy2ll(const PointD &p) const;
+
+private:
+	double _e, _A, _B, _t0, _n, _r0, _phiP;
+	double _cosAlphaC, _sinAlphaC, _lambda0, _FE, _FN;
+	Orientation _orientation;
+};
+
+#endif // KROVAK_H

src/map/pcs.cpp

@@ -32,6 +32,7 @@ static bool parameter(int key, double val, int units, Projection::Setup &setup)
 		case 8802:
 		case 8812:
 		case 8822:
+		case 8833:
 			{AngularUnits au(units);
 			if (au.isNull())
 				return false;
@@ -39,6 +40,7 @@ static bool parameter(int key, double val, int units, Projection::Setup &setup)
 			return true;
 		case 8805:
 		case 8815:
+		case 8819:
 			setup.setScale(val);
 			return true;
 		case 8806:
@@ -58,12 +60,14 @@ static bool parameter(int key, double val, int units, Projection::Setup &setup)
 			setup.setFalseNorthing(lu.toMeters(val));}
 			return true;
 		case 8813:
+		case 8818:
 		case 8823:
 			{AngularUnits au(units);
 			if (au.isNull())
 				return false;
 			setup.setStandardParallel1(au.toDegrees(val));}
 			return true;
+		case 1036:
 		case 8814:
 		case 8824:
 			{AngularUnits au(units);

src/map/projection.cpp

@@ -5,6 +5,7 @@
 #include "lambertconic.h"
 #include "albersequal.h"
 #include "lambertazimuthal.h"
+#include "krovak.h"
 #include "latlon.h"
 #include "gcs.h"
 #include "pcs.h"
@@ -15,11 +16,13 @@ Projection::Method::Method(int id)
 {
 	switch (id) {
 		case 1024:
+		case 1041:
 		case 9801:
 		case 9802:
 		case 9804:
 		case 9807:
 		case 9815:
+		case 9819:
 		case 9820:
 		case 9822:
 			_id = id;
@@ -39,6 +42,12 @@ Projection::Projection(const PCS *pcs) : _gcs(pcs->gcs()), _units(pcs->units()),
 		case 1024:
 			_ct = new WebMercator();
 			break;
+		case 1041:
+			_ct = new Krovak(ellipsoid, setup.standardParallel1(),
+			  setup.standardParallel2(), setup.scale(), setup.latitudeOrigin(),
+			  setup.longitudeOrigin(), setup.falseEasting(),
+			  setup.falseNorthing(), Krovak::North);
+			break;
 		case 9801:
 		case 9815: // Oblique mercator aproximation using LCC1
 			_ct = new LambertConic1(ellipsoid, setup.latitudeOrigin(),
@@ -61,6 +70,12 @@ Projection::Projection(const PCS *pcs) : _gcs(pcs->gcs()), _units(pcs->units()),
 			  setup.longitudeOrigin(), setup.scale(), setup.falseEasting(),
 			  setup.falseNorthing());
 			break;
+		case 9819:
+			_ct = new Krovak(ellipsoid, setup.standardParallel1(),
+			  setup.standardParallel2(), setup.scale(), setup.latitudeOrigin(),
+			  setup.longitudeOrigin(), setup.falseEasting(),
+			  setup.falseNorthing(), Krovak::South);
+			break;
 		case 9820:
 			_ct = new LambertAzimuthal(ellipsoid, setup.latitudeOrigin(),
 			  setup.longitudeOrigin(), setup.falseEasting(),