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Use ellipsoids defined by the map file for the projection computation

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This commit is contained in:
Martin Tůma 2017-04-03 20:29:35 +02:00
parent 925a0e2951
commit 6ce14734cd
11 changed files with 178 additions and 79 deletions
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6
gpxsee.pro
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@ -90,7 +90,8 @@ HEADERS += src/config.h \
src/transversemercator.h \
src/latlon.h \
src/utm.h \
src/lambertconic.h
src/lambertconic.h \
src/ellipsoid.h
SOURCES += src/main.cpp \
src/gui.cpp \
src/poi.cpp \
@ -154,7 +155,8 @@ SOURCES += src/main.cpp \
src/mercator.cpp \
src/transversemercator.cpp \
src/utm.cpp \
src/lambertconic.cpp
src/lambertconic.cpp \
src/ellipsoid.cpp
RESOURCES += gpxsee.qrc
TRANSLATIONS = lang/gpxsee_cs.ts \
lang/gpxsee_sv.ts

92
src/ellipsoid.cpp Normal file
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@ -0,0 +1,92 @@
#include <cmath>
#include <QString>
#include "wgs84.h"
#include "ellipsoid.h"
#define INTERNATIONAL_RADIUS 6378388.0
#define INTERNATIONAL_FLATTENING (1.0/297.0)
#define KRASSOVSKY_RADIUS 6378245.0
#define KRASSOVSKY_FLATTENING (1.0/298.3)
#define BESSEL_RADIUS 6377397.155
#define BESSEL_FLATTENING (1.0/299.1528128)
#define GRS80_RADIUS 6378137.0
#define GRS80_FLATTENING (1.0/298.257222101)
#define WGS70_RADIUS 6378135.0
#define WGS70_FLATTENING (1.0/298.26)
#ifndef M_PI_2
#define M_PI_2 1.57079632679489661923
#endif // M_PI_2
#ifndef M_PI_4
#define M_PI_4 0.78539816339744830962
#endif // M_PI_4
#define ARRAY_SIZE(array) (sizeof(array) / sizeof((array)[0]))
typedef struct {
const char *name;
double radius;
double flattening;
} Entry;
static Entry list[] = {
{"S42", KRASSOVSKY_RADIUS, KRASSOVSKY_FLATTENING},
{"Pulkovo 1942", KRASSOVSKY_RADIUS, KRASSOVSKY_FLATTENING},
{"European 1950", INTERNATIONAL_RADIUS, INTERNATIONAL_FLATTENING},
{"European 1979", INTERNATIONAL_RADIUS, INTERNATIONAL_FLATTENING},
{"NZGD1949", INTERNATIONAL_RADIUS, INTERNATIONAL_FLATTENING},
{"NAD27", BESSEL_RADIUS, BESSEL_FLATTENING},
{"NAD83", GRS80_RADIUS, GRS80_FLATTENING},
{"WGS 72", WGS70_RADIUS, WGS70_FLATTENING}
};
Ellipsoid::Ellipsoid()
{
_radius = WGS84_RADIUS;
_flattening = WGS84_FLATTENING;
}
Ellipsoid::Ellipsoid(const QString &datum)
{
for (size_t i = 0; i < ARRAY_SIZE(list); i++) {
if (datum.startsWith(list[i].name)) {
_radius = list[i].radius;
_flattening = list[i].flattening;
return;
}
}
_radius = WGS84_RADIUS;
_flattening = WGS84_FLATTENING;
}
double Ellipsoid::q(double b) const
{
double e = sqrt(_flattening * (2. - _flattening));
double esb = e * sin(b);
return log(tan(M_PI_4 + b / 2.) * pow((1. - esb) / (1. + esb), e / 2.));
}
double Ellipsoid::iq(double q) const
{
double e = sqrt(_flattening * (2. - _flattening));
double b0 = 0.;
double b = 2. * atan(exp(q)) - M_PI_2;
do {
b0 = b;
double esb = e * sin(b);
b = 2. * atan(exp(q) * pow((1. - esb) / (1. + esb), -e / 2.)) - M_PI_2;
} while (fabs(b - b0) > 1e-10);
return b;
}
double Ellipsoid::nradius(double phi) const
{
double sin_phi = sin(phi);
return (_radius / sqrt(1. - (_flattening * (2. - _flattening)) * sin_phi
* sin_phi));
}

24
src/ellipsoid.h Normal file
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@ -0,0 +1,24 @@
#ifndef ELLIPSOID_H
#define ELLIPSOID_H
class QString;
class Ellipsoid
{
public:
Ellipsoid();
Ellipsoid(const QString &datum);
double radius() const {return _radius;}
double flattening() const {return _flattening;}
double q(double b) const;
double iq(double q) const;
double nradius(double phi) const;
private:
double _radius;
double _flattening;
};
#endif // ELLIPSOID_H

57
src/lambertconic.cpp
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@ -1,48 +1,11 @@
#include <cmath>
#include "rd.h"
#include "wgs84.h"
#include "lambertconic.h"
#ifndef M_PI_2
#define M_PI_2 1.57079632679489661923
#endif // M_PI_2
#ifndef M_PI_4
#define M_PI_4 0.78539816339744830962
#endif // M_PI_4
static double q(double b)
{
double e = sqrt(WGS84_FLATTENING * (2. - WGS84_FLATTENING));
double esb = e * sin(b);
return log(tan(M_PI_4 + b / 2.) * pow((1. - esb) / (1. + esb), e / 2.));
}
static double inv_q(double q)
{
double e = sqrt(WGS84_FLATTENING * (2. - WGS84_FLATTENING));
double b0 = 0.;
double b = 2. * atan(exp(q)) - M_PI_2;
do {
b0 = b;
double esb = e * sin(b);
b = 2. * atan(exp(q) * pow((1. - esb) / (1. + esb), -e / 2.)) - M_PI_2;
} while (fabs(b - b0) > 1e-10);
return b;
}
static double nradius(double phi)
{
double sin_phi = sin(phi);
return (WGS84_RADIUS / sqrt(1. - (WGS84_FLATTENING
* (2. - WGS84_FLATTENING)) * sin_phi * sin_phi));
}
LambertConic::LambertConic(double standardParallel1, double standardParallel2,
double centralParallel, double centralMeridian, double scale,
double falseEasting, double falseNorthing)
LambertConic::LambertConic(const Ellipsoid &ellipsoid, double standardParallel1,
double standardParallel2, double centralParallel, double centralMeridian,
double scale, double falseEasting, double falseNorthing) : _e(ellipsoid)
{
_cm = centralMeridian;
_fe = falseEasting;
@ -51,12 +14,12 @@ LambertConic::LambertConic(double standardParallel1, double standardParallel2,
double sp1 = deg2rad(standardParallel1);
double sp2 = deg2rad(standardParallel2);
double N1 = nradius(sp1);
double N2 = nradius(sp2);
double N1 = _e.nradius(sp1);
double N2 = _e.nradius(sp2);
_q0 = q(deg2rad(centralParallel));
double q1 = q(sp1);
double q2 = q(sp2);
_q0 = ellipsoid.q(deg2rad(centralParallel));
double q1 = _e.q(sp1);
double q2 = _e.q(sp2);
_n = log((N1 * cos(sp1)) / (N2 * cos(sp2))) / (q2 - q1);
double R1 = N1 * cos(sp1) / _n;
@ -66,7 +29,7 @@ LambertConic::LambertConic(double standardParallel1, double standardParallel2,
QPointF LambertConic::ll2xy(const Coordinates &c) const
{
double dl = _n * (deg2rad(c.lon()) - deg2rad(_cm));
double R = _R0 * exp(_n * (_q0 - q(deg2rad(c.lat()))));
double R = _R0 * exp(_n * (_q0 - _e.q(deg2rad(c.lat()))));
return QPointF(_fe + R * sin(dl), _fn + _R0 - R * cos(dl));
}
@ -79,5 +42,5 @@ Coordinates LambertConic::xy2ll(const QPointF &p) const
double R = sqrt(dx * dx + dy * dy);
double q = _q0 - log(R / _R0) / _n;
return Coordinates(rad2deg(deg2rad(_cm) + dl / _n), rad2deg(inv_q(q)));
return Coordinates(rad2deg(deg2rad(_cm) + dl / _n), rad2deg(_e.iq(q)));
}

9
src/lambertconic.h
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@ -1,19 +1,22 @@
#ifndef LAMBERTCONIC_H
#define LAMBERTCONIC_H
#include "ellipsoid.h"
#include "projection.h"
class LambertConic : public Projection
{
public:
LambertConic(double standardParallel1, double standardParallel2,
double centralParallel, double centralMeridian, double scale,
double falseEasting, double falseNorthing);
LambertConic(const Ellipsoid &ellipsoid, double standardParallel1,
double standardParallel2, double centralParallel, double centralMeridian,
double scale, double falseEasting, double falseNorthing);
virtual QPointF ll2xy(const Coordinates &c) const;
virtual Coordinates xy2ll(const QPointF &p) const;
private:
Ellipsoid _e;
double _cm;
double _fe;
double _fn;

31
src/offlinemap.cpp
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@ -12,6 +12,7 @@
#include "wgs84.h"
#include "coordinates.h"
#include "matrix.h"
#include "ellipsoid.h"
#include "latlon.h"
#include "mercator.h"
#include "transversemercator.h"
@ -21,7 +22,7 @@
int OfflineMap::parseMapFile(QIODevice &device, QList<ReferencePoint> &points,
QString &projection, ProjectionSetup &setup)
QString &projection, ProjectionSetup &setup, QString &datum)
{
bool res;
int ln = 1;
@ -38,6 +39,8 @@ int OfflineMap::parseMapFile(QIODevice &device, QList<ReferencePoint> &points,
return ln;
} else if (ln == 3)
_imgPath = line.trimmed();
else if (ln == 5)
datum = line.split(',').at(0).trimmed();
else {
QList<QByteArray> list = line.split(',');
QString key(list.at(0).trimmed());
@ -135,8 +138,9 @@ int OfflineMap::parseMapFile(QIODevice &device, QList<ReferencePoint> &points,
return 0;
}
bool OfflineMap::createProjection(const QString &projection,
const ProjectionSetup &setup, QList<ReferencePoint> &points)
bool OfflineMap::createProjection(const QString &datum,
const QString &projection, const ProjectionSetup &setup,
QList<ReferencePoint> &points)
{
if (points.count() < 2) {
qWarning("%s: insufficient number of reference points",
@ -147,12 +151,13 @@ bool OfflineMap::createProjection(const QString &projection,
if (projection == "Mercator")
_projection = new Mercator();
else if (projection == "Transverse Mercator")
_projection = new TransverseMercator(setup.centralMeridian, setup.scale,
setup.falseEasting, setup.falseNorthing);
_projection = new TransverseMercator(Ellipsoid(datum),
setup.centralMeridian, setup.scale, setup.falseEasting,
setup.falseNorthing);
else if (projection == "Latitude/Longitude")
_projection = new LatLon();
else if (projection == "Lambert Conformal Conic")
_projection = new LambertConic(setup.standardParallel1,
_projection = new LambertConic(Ellipsoid(datum), setup.standardParallel1,
setup.standardParallel2, setup.centralParallel, setup.centralMeridian,
setup.scale, setup.falseEasting, setup.falseNorthing);
else if (projection == "(UTM) Universal Transverse Mercator") {
@ -335,7 +340,7 @@ OfflineMap::OfflineMap(const QString &path, QObject *parent) : Map(parent)
{
int errorLine = -2;
QList<ReferencePoint> points;
QString proj;
QString proj, datum;
ProjectionSetup setup;
@ -362,7 +367,7 @@ OfflineMap::OfflineMap(const QString &path, QObject *parent) : Map(parent)
if (tarFiles.at(j).endsWith(".map")) {
QByteArray ba = _tar.file(tarFiles.at(j));
QBuffer buffer(&ba);
errorLine = parseMapFile(buffer, points, proj, setup);
errorLine = parseMapFile(buffer, points, proj, setup, datum);
_imgPath = QString();
break;
}
@ -370,14 +375,14 @@ OfflineMap::OfflineMap(const QString &path, QObject *parent) : Map(parent)
break;
} else if (fileName.endsWith(".map")) {
QFile mapFile(mapFiles.at(i).absoluteFilePath());
errorLine = parseMapFile(mapFile, points, proj, setup);
errorLine = parseMapFile(mapFile, points, proj, setup, datum);
break;
}
}
if (!mapLoaded(errorLine))
return;
if (!createProjection(proj, setup, points))
if (!createProjection(datum, proj, setup, points))
return;
if (!computeTransformation(points))
return;
@ -410,7 +415,7 @@ OfflineMap::OfflineMap(Tar &tar, const QString &path, QObject *parent)
{
int errorLine = -2;
QList<ReferencePoint> points;
QString proj;
QString proj, datum;
ProjectionSetup setup;
@ -428,14 +433,14 @@ OfflineMap::OfflineMap(Tar &tar, const QString &path, QObject *parent)
if (tarFiles.at(j).startsWith(prefix)) {
QByteArray ba = tar.file(tarFiles.at(j));
QBuffer buffer(&ba);
errorLine = parseMapFile(buffer, points, proj, setup);
errorLine = parseMapFile(buffer, points, proj, setup, datum);
break;
}
}
if (!mapLoaded(errorLine))
return;
if (!createProjection(proj, setup, points))
if (!createProjection(datum, proj, setup, points))
return;
if (!totalSizeSet())
return;

4
src/offlinemap.h
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@ -62,10 +62,10 @@ private:
} ProjectionSetup;
int parseMapFile(QIODevice &device, QList<ReferencePoint> &points,
QString &projection, ProjectionSetup &setup);
QString &projection, ProjectionSetup &setup, QString &datum);
bool mapLoaded(int res);
bool totalSizeSet();
bool createProjection(const QString &projection,
bool createProjection(const QString &datum, const QString &projection,
const ProjectionSetup &setup, QList<ReferencePoint> &points);
bool computeTransformation(const QList<ReferencePoint> &points);
bool computeResolution(QList<ReferencePoint> &points);

14
src/transversemercator.cpp
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@ -1,20 +1,22 @@
#include <cmath>
#include "rd.h"
#include "wgs84.h"
#include "ellipsoid.h"
#include "transversemercator.h"
TransverseMercator::TransverseMercator(double centralMeridian, double scale,
double falseEasting, double falseNorthing)
TransverseMercator::TransverseMercator(const Ellipsoid &ellipsoid,
double centralMeridian, double scale, double falseEasting,
double falseNorthing)
{
_centralMeridian = centralMeridian;
_scale = scale;
_falseEasting = falseEasting;
_falseNorthing = falseNorthing;
const double e2 = WGS84_FLATTENING * (2 - WGS84_FLATTENING);
const double n = WGS84_FLATTENING / (2 - WGS84_FLATTENING);
_rectifyingRadius = WGS84_RADIUS / (1 + n)
const double e2 = ellipsoid.flattening() * (2 - ellipsoid.flattening());
const double n = ellipsoid.flattening() / (2 - ellipsoid.flattening());
_rectifyingRadius = ellipsoid.radius() / (1 + n)
* (1 + 0.25*pow(n, 2) + 0.015625*pow(n, 4));
_A = e2;

6
src/transversemercator.h
View File

@ -3,11 +3,13 @@
#include "projection.h"
class Ellipsoid;
class TransverseMercator : public Projection
{
public:
TransverseMercator(double centralMeridian, double scale,
double falseEasting, double falseNorthing);
TransverseMercator(const Ellipsoid &ellipsoid, double centralMeridian,
double scale, double falseEasting, double falseNorthing);
virtual QPointF ll2xy(const Coordinates &c) const;
virtual Coordinates xy2ll(const QPointF &p) const;

11
src/utm.cpp
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@ -1,6 +1,12 @@
#include "ellipsoid.h"
#include "utm.h"
UTM::UTM(const Coordinates &c) : _tm(0, 1.0, 0, 0)
UTM::UTM(int zone) : _tm(Ellipsoid(), (qAbs(zone) - 1)*6 - 180 + 3, 0.9996,
500000, zone < 0 ? 10000000 : 0)
{
}
UTM::UTM(const Coordinates &c) : _tm(Ellipsoid(), 0, 0, 0, 0)
{
int zone = int((c.lon() + 180)/6) + 1;
@ -18,5 +24,6 @@ UTM::UTM(const Coordinates &c) : _tm(0, 1.0, 0, 0)
}
double cm = (zone - 1)*6 - 180 + 3;
_tm = TransverseMercator(cm, 0.9996, 500000, (c.lat() < 0) ? 10000000 : 0);
_tm = TransverseMercator(Ellipsoid(), cm, 0.9996, 500000,
(c.lat() < 0) ? 10000000 : 0);
}

3
src/utm.h
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@ -7,8 +7,7 @@
class UTM : public Projection
{
public:
UTM(int zone) : _tm((qAbs(zone) - 1)*6 - 180 + 3, 0.9996, 500000,
zone < 0 ? 10000000 : 0) {}
UTM(int zone);
UTM(const Coordinates &c);
virtual QPointF ll2xy(const Coordinates &c) const