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utmref.cpp
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#include "utmref.h"
#include <qmath.h>
static char getUTMLatitudeZoneLetter(double latitude) {
if ((84 >= latitude) && (latitude >= 72))
return 'X';
else if ((72 > latitude) && (latitude >= 64))
return 'W';
else if ((64 > latitude) && (latitude >= 56))
return 'V';
else if ((56 > latitude) && (latitude >= 48))
return 'U';
else if ((48 > latitude) && (latitude >= 40))
return 'T';
else if ((40 > latitude) && (latitude >= 32))
return 'S';
else if ((32 > latitude) && (latitude >= 24))
return 'R';
else if ((24 > latitude) && (latitude >= 16))
return 'Q';
else if ((16 > latitude) && (latitude >= 8))
return 'P';
else if ((8 > latitude) && (latitude >= 0))
return 'N';
else if ((0 > latitude) && (latitude >= -8))
return 'M';
else if ((-8 > latitude) && (latitude >= -16))
return 'L';
else if ((-16 > latitude) && (latitude >= -24))
return 'K';
else if ((-24 > latitude) && (latitude >= -32))
return 'J';
else if ((-32 > latitude) && (latitude >= -40))
return 'H';
else if ((-40 > latitude) && (latitude >= -48))
return 'G';
else if ((-48 > latitude) && (latitude >= -56))
return 'F';
else if ((-56 > latitude) && (latitude >= -64))
return 'E';
else if ((-64 > latitude) && (latitude >= -72))
return 'D';
else if ((-72 > latitude) && (latitude >= -80))
return 'C';
else
return 'Z';
}
QPointF utmToLatLong(const QPointF &utm, char latZ, int lonZ)
{
qreal easting = utm.x();
qreal northing = utm.y();
qreal UTM_F0 = 0.9996;
qreal a = 6378137.000;
qreal eSquared = ((a * a) - (6356752.3141 * 6356752.3141)) / (a * a);
qreal ePrimeSquared = eSquared / (1.0 - eSquared);
qreal e1 = (1 - qSqrt(1 - eSquared)) / (1 + qSqrt(1 - eSquared));
qreal x = easting - 500000.0;
qreal y = northing;
int zoneNumber = lonZ;
char zoneLetter = latZ;
qreal longitudeOrigin = (zoneNumber - 1.0) * 6.0 - 180.0 + 3.0;
// Correct y for southern hemisphere
if ((zoneLetter - 'N') < 0) {
y -= 10000000.0;
}
qreal m = y / UTM_F0;
qreal mu = m / (a * (1.0 - eSquared / 4.0 - 3.0 * eSquared * eSquared / 64.0 - 5.0 * qPow(eSquared, 3.0) / 256.0));
qreal phi1Rad = mu + (3.0 * e1 / 2.0 - 27.0 * qPow(e1, 3.0) / 32.0)
* qSin(2.0 * mu)
+ (21.0 * e1 * e1 / 16.0 - 55.0 * qPow(e1, 4.0) / 32.0)
* qSin(4.0 * mu) + (151.0 * qPow(e1, 3.0) / 96.0)
* qSin(6.0 * mu);
qreal n = a / qSqrt(1.0 - eSquared * qSin(phi1Rad) * qSin(phi1Rad));
qreal t = qTan(phi1Rad) * qTan(phi1Rad);
qreal c = ePrimeSquared * qCos(phi1Rad) * qCos(phi1Rad);
qreal r = a * (1.0 - eSquared) / qPow(1.0 - eSquared * qSin(phi1Rad) * qSin(phi1Rad), 1.5);
qreal d = x / (n * UTM_F0);
qreal latitude = (phi1Rad - (n * qTan(phi1Rad) / r)
* (d * d / 2.0
- (5.0 + (3.0 * t) + (10.0 * c) - (4.0 * c * c) - (9.0 * ePrimeSquared))
* qPow(d, 4.0) / 24.0 + (61.0 + (90.0 * t) + (298.0 * c)
+ (45.0 * t * t) - (252.0 * ePrimeSquared) - (3.0 * c * c))
* qPow(d, 6.0) / 720.0))
* (180.0 / M_PI);
qreal longitude = longitudeOrigin
+ ((d - (1.0 + 2.0 * t + c) * qPow(d, 3.0) / 6.0 + (5.0
- (2.0 * c) + (28.0 * t) - (3.0 * c * c)
+ (8.0 * ePrimeSquared) + (24.0 * t * t))
* qPow(d, 5.0) / 120.0) / qCos(phi1Rad))
* (180.0 / M_PI);
return QPointF(latitude, longitude);
}
UTMRef latLongToUtm(const QPointF &latlong)
{
UTMRef utm;
double UTM_F0 = 0.9996;
qreal a = 6378137.000;
qreal eSquared = ((a * a) - (6356752.3141 * 6356752.3141)) / (a * a);
double longitude = latlong.y();
double latitude = latlong.x();
double latitudeRad = latitude * (M_PI / 180.0);
double longitudeRad = longitude * (M_PI / 180.0);
int longitudeZone = (int) qFloor((longitude + 180.0) / 6.0) + 1;
// Special zone for Norway
if (latitude >= 56.0 && latitude < 64.0 && longitude >= 3.0
&& longitude < 12.0) {
longitudeZone = 32;
}
// Special zones for Svalbard
if (latitude >= 72.0 && latitude < 84.0) {
if (longitude >= 0.0 && longitude < 9.0) {
longitudeZone = 31;
} else if (longitude >= 9.0 && longitude < 21.0) {
longitudeZone = 33;
} else if (longitude >= 21.0 && longitude < 33.0) {
longitudeZone = 35;
} else if (longitude >= 33.0 && longitude < 42.0) {
longitudeZone = 37;
}
}
double longitudeOrigin = (longitudeZone - 1) * 6 - 180 + 3;
double longitudeOriginRad = longitudeOrigin * (M_PI / 180.0);
char UTMZone = getUTMLatitudeZoneLetter(latitude);
double ePrimeSquared = (eSquared) / (1 - eSquared);
double n = a / qSqrt(1 - eSquared * qSin(latitudeRad) * qSin(latitudeRad));
double t = qTan(latitudeRad) * qTan(latitudeRad);
double c = ePrimeSquared * qCos(latitudeRad) * qCos(latitudeRad);
double A = qCos(latitudeRad) * (longitudeRad - longitudeOriginRad);
double M = a * ((1 - eSquared / 4 - 3 * eSquared * eSquared / 64 - 5 * eSquared * eSquared * eSquared / 256)
* latitudeRad
- (3 * eSquared / 8 + 3 * eSquared * eSquared / 32 + 45
* eSquared * eSquared * eSquared / 1024)
* qSin(2 * latitudeRad)
+ (15 * eSquared * eSquared / 256 + 45 * eSquared * eSquared
* eSquared / 1024) * qSin(4 * latitudeRad) - (35
* eSquared * eSquared * eSquared / 3072)
* qSin(6 * latitudeRad));
double UTMEasting = (UTM_F0 * n * (A + (1 - t + c) * qPow(A, 3.0) / 6 + (5 - 18 * t + t * t
+ 72 * c - 58 * ePrimeSquared)
* qPow(A, 5.0) / 120) + 500000.0);
double UTMNorthing = (UTM_F0 * (M + n * qTan(latitudeRad)
* (A * A / 2 + (5 - t + (9 * c) + (4 * c * c)) * qPow(A, 4.0)
/ 24 + (61 - (58 * t) + (t * t) + (600 * c) - (330 * ePrimeSquared))
* qPow(A, 6.0) / 720)));
// Adjust for the southern hemisphere
if (latitude < 0) {
UTMNorthing += 10000000.0;
}
utm.position = QPointF(UTMEasting, UTMNorthing);
utm.latZ = UTMZone;
utm.lonZ = longitudeZone;
return utm;
}