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/**************************************************************************\
*
* This file is part of the Coin 3D visualization library.
* Copyright (C) by Kongsberg Oil & Gas Technologies.
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* ("GPL") version 2 as published by the Free Software Foundation.
* See the file LICENSE.GPL at the root directory of this source
* distribution for additional information about the GNU GPL.
*
* For using Coin with software that can not be combined with the GNU
* GPL, and for taking advantage of the additional benefits of our
* support services, please contact Kongsberg Oil & Gas Technologies
* about acquiring a Coin Professional Edition License.
*
* See http://www.coin3d.org/ for more information.
*
* Kongsberg Oil & Gas Technologies, Bygdoy Alle 5, 0257 Oslo, NORWAY.
* http://www.sim.no/ sales@sim.no coin-support@coin3d.org
*
\**************************************************************************/
#include "SbUTMProjection.h"
#include <stdio.h>
SbUTMProjection::SbUTMProjection(const int utmzone,
const SbGeoEllipsoid & ellipsoid,
double FE, double FN)
: inherited(ellipsoid, FE, FN),
forcedutmzone(utmzone)
{
}
SbBool
SbUTMProjection::isUTMProjection(void) const
{
return TRUE;
}
void
SbUTMProjection::project(const SbGeoAngle & LatRad,
const SbGeoAngle & LongRad,
double * easting,
double * northing) const
{
double a = this->ellipsoid.getA();
double eccSquared = this->ellipsoid.getEccentricitySquared();
double k0 = 0.9996;
double LongOrigin;
double eccPrimeSquared;
double N, T, C, A, M;
//Make sure the longitude is between -180.00 .. 179.9
double LongTemp = (int(LongRad.deg())+180)-int((int(LongRad.deg())+180)/360)*360-180; // -180.00 .. 179.9;
// double LatRad = Lat*deg2rad;
// double LongRad = LongTemp*deg2rad;
double LongOriginRad;
int ZoneNumber;
ZoneNumber = int((LongTemp + 180)/6) + 1;
if (this->forcedutmzone != -1) {
ZoneNumber = this->forcedutmzone;
}
const double deg2rad = M_PI / 180;
const double rad2deg = 180.0 / M_PI;
const double FOURTHPI = M_PI / 4;
LongOrigin = (ZoneNumber - 1)*6 - 180 + 3; //+3 puts origin in middle of zone
LongOriginRad = LongOrigin * deg2rad;
eccPrimeSquared = (eccSquared)/(1-eccSquared);
N = a/sqrt(1-eccSquared*sin(LatRad)*sin(LatRad));
T = tan(LatRad)*tan(LatRad);
C = eccPrimeSquared*cos(LatRad)*cos(LatRad);
A = cos(LatRad)*(LongRad-LongOriginRad);
M = a*((1 - eccSquared/4 - 3*eccSquared*eccSquared/64 - 5*eccSquared*eccSquared*eccSquared/256)*LatRad
- (3*eccSquared/8 + 3*eccSquared*eccSquared/32 + 45*eccSquared*eccSquared*eccSquared/1024)*sin(2.0*LatRad)
+ (15*eccSquared*eccSquared/256 + 45*eccSquared*eccSquared*eccSquared/1024)*sin(4.0*LatRad)
- (35*eccSquared*eccSquared*eccSquared/3072)*sin(6.0*LatRad));
*easting = (double)(k0*N*(A+(1-T+C)*A*A*A/6
+ (5-18*T+T*T+72*C-58*eccPrimeSquared)*A*A*A*A*A/120)
+ 500000.0);
*northing = (double)(k0*(M+N*tan(LatRad)*(A*A/2+(5-T+9*C+4*C*C)*A*A*A*A/24
+ (61-58*T+T*T+600*C-330*eccPrimeSquared)*A*A*A*A*A*A/720)));
if (double(LatRad) < 0.0)
*northing += 10000000.0; //10000000 meter offset for southern hemisphere
}
void
SbUTMProjection::unproject(const double UTMEasting,
const double UTMNorthing,
SbGeoAngle * Lat,
SbGeoAngle * Long) const
{
double k0 = 0.9996;
double a = this->ellipsoid.getA();
double eccSquared = this->ellipsoid.getEccentricitySquared();
double eccPrimeSquared;
double e1 = (1-sqrt(1-eccSquared))/(1+sqrt(1-eccSquared));
double N1, T1, C1, R1, D, M;
double LongOrigin;
double mu,/* phi1,*/ phi1Rad;
double x, y;
int ZoneNumber;
//char* ZoneLetter;
//int NorthernHemisphere; //1 for northern hemispher, 0 for southern
x = UTMEasting - 500000.0; //remove 500,000 meter offset for longitude
y = UTMNorthing;
ZoneNumber = 34; // default zone
if (this->forcedutmzone != -1) {
ZoneNumber = this->forcedutmzone;
}
if (this->ellipsoid.getHemisphere() == 'S') {
y -= 10000000.0; //remove 10,000,000 meter offset used for southern hemisphere
}
LongOrigin = (ZoneNumber - 1)*6 - 180 + 3; //+3 puts origin in middle of zone
eccPrimeSquared = (eccSquared)/(1-eccSquared);
M = y / k0;
mu = M/(a*(1-eccSquared/4-3*eccSquared*eccSquared/64-5*eccSquared*eccSquared*eccSquared/256));
phi1Rad = mu + (3*e1/2-27*e1*e1*e1/32)*sin(2*mu)
+ (21*e1*e1/16-55*e1*e1*e1*e1/32)*sin(4*mu)
+(151*e1*e1*e1/96)*sin(6*mu);
N1 = a/sqrt(1-eccSquared*sin(phi1Rad)*sin(phi1Rad));
T1 = tan(phi1Rad)*tan(phi1Rad);
C1 = eccPrimeSquared*cos(phi1Rad)*cos(phi1Rad);
R1 = a*(1-eccSquared)/pow(1-eccSquared*sin(phi1Rad)*sin(phi1Rad), 1.5);
D = x/(N1*k0);
*Lat = phi1Rad - (N1*tan(phi1Rad)/R1)*(D*D/2-(5+3*T1+10*C1-4*C1*C1-9*eccPrimeSquared)*D*D*D*D/24
+(61+90*T1+298*C1+45*T1*T1-252*eccPrimeSquared-3*C1*C1)*D*D*D*D*D*D/720);
double tmp = (D-(1+2*T1+C1)*D*D*D/6+(5-2*C1+28*T1-3*C1*C1+8*eccPrimeSquared+24*T1*T1)
*D*D*D*D*D/120)/cos(phi1Rad);
tmp += LongOrigin * M_PI / 180.0;
*Long = tmp;
}
void
SbUTMProjection::setUTMZone(const int utmzone)
{
this->forcedutmzone = utmzone;
}
int
SbUTMProjection::getUTMZone(void) const
{
return this->forcedutmzone;
}
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