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yazdipour/UTM.java

Last active September 15, 2023 12:40
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UTM, WGS84 Converter
Raw
UTM.java
import java.util.Locale;
/**
* Class representing UTM-coordinates. Based on code from stack overflow.
* @see <a href="https://stackoverflow.com/questions/176137/java-convert-lat-lon-to-utm">Stack Overflow</a>
* @see <a href="https://en.wikipedia.org/wiki/Universal_Transverse_Mercator_coordinate_system">Wikipedia-entry on UTM</a>
* @author Rolf Rander
*/
public class UTM
{
private double easting;
private double northing;
private int zone;
private char letter;
public double getEasting() {
return easting;
}
public double getNorthing() {
return northing;
}
public int getZone() {
return zone;
}
public char getLetter() {
return letter;
}
public String toString() {
return String.format("%s %c %s %s", zone, letter, easting, northing);
}
/**
* Tests the exact representation. There might be more representations for
* the same geographical point with different letters or zones, but that is
* not taken into account.
*/
public boolean equals(Object o) {
if(o instanceof UTM) {
UTM other = (UTM)o;
return (zone == other.zone) &&
(letter == other.letter) &&
(easting == other.easting) &&
(northing == other.northing);
}
return false;
}
@Override
public int hashCode() {
long least = Double.doubleToRawLongBits(easting);
long lnort = Double.doubleToRawLongBits(northing);
long x = least ^ lnort;
return (int)(x ^ (x >>> 32));
}
public UTM(int zone, char letter, double easting, double northing) {
this.zone = zone;
this.letter = Character.toUpperCase(letter);
this.easting = easting;
this.northing = northing;
}
public UTM(String utm) {
String[] parts=utm.split(" ");
zone=Integer.parseInt(parts[0]);
letter=parts[1].toUpperCase(Locale.ENGLISH).charAt(0);
easting=Double.parseDouble(parts[2]);
northing=Double.parseDouble(parts[3]);
}
public UTM(WGS84 wgs) {
fromWGS84(wgs.getLatitude(), wgs.getLongitude());
}
private void fromWGS84(double latitude, double longitude) {
zone= (int) Math.floor(longitude/6+31);
if (latitude<-72)
letter='C';
else if (latitude<-64)
letter='D';
else if (latitude<-56)
letter='E';
else if (latitude<-48)
letter='F';
else if (latitude<-40)
letter='G';
else if (latitude<-32)
letter='H';
else if (latitude<-24)
letter='J';
else if (latitude<-16)
letter='K';
else if (latitude<-8)
letter='L';
else if (latitude<0)
letter='M';
else if (latitude<8)
letter='N';
else if (latitude<16)
letter='P';
else if (latitude<24)
letter='Q';
else if (latitude<32)
letter='R';
else if (latitude<40)
letter='S';
else if (latitude<48)
letter='T';
else if (latitude<56)
letter='U';
else if (latitude<64)
letter='V';
else if (latitude<72)
letter='W';
else
letter='X';
easting=0.5*Math.log((1+Math.cos(latitude*Math.PI/180)*Math.sin(longitude*Math.PI/180-(6*zone-183)*Math.PI/180))/(1-Math.cos(latitude*Math.PI/180)*Math.sin(longitude*Math.PI/180-(6*zone-183)*Math.PI/180)))*0.9996*6399593.62/Math.pow((1+Math.pow(0.0820944379, 2)*Math.pow(Math.cos(latitude*Math.PI/180), 2)), 0.5)*(1+ Math.pow(0.0820944379,2)/2*Math.pow((0.5*Math.log((1+Math.cos(latitude*Math.PI/180)*Math.sin(longitude*Math.PI/180-(6*zone-183)*Math.PI/180))/(1-Math.cos(latitude*Math.PI/180)*Math.sin(longitude*Math.PI/180-(6*zone-183)*Math.PI/180)))),2)*Math.pow(Math.cos(latitude*Math.PI/180),2)/3)+500000;
easting=Math.round(easting*100)*0.01;
northing = (Math.atan(Math.tan(latitude*Math.PI/180)/Math.cos((longitude*Math.PI/180-(6*zone -183)*Math.PI/180)))-latitude*Math.PI/180)*0.9996*6399593.625/Math.sqrt(1+0.006739496742*Math.pow(Math.cos(latitude*Math.PI/180),2))*(1+0.006739496742/2*Math.pow(0.5*Math.log((1+Math.cos(latitude*Math.PI/180)*Math.sin((longitude*Math.PI/180-(6*zone -183)*Math.PI/180)))/(1-Math.cos(latitude*Math.PI/180)*Math.sin((longitude*Math.PI/180-(6*zone -183)*Math.PI/180)))),2)*Math.pow(Math.cos(latitude*Math.PI/180),2))+0.9996*6399593.625*(latitude*Math.PI/180-0.005054622556*(latitude*Math.PI/180+Math.sin(2*latitude*Math.PI/180)/2)+4.258201531e-05*(3*(latitude*Math.PI/180+Math.sin(2*latitude*Math.PI/180)/2)+Math.sin(2*latitude*Math.PI/180)*Math.pow(Math.cos(latitude*Math.PI/180),2))/4-1.674057895e-07*(5*(3*(latitude*Math.PI/180+Math.sin(2*latitude*Math.PI/180)/2)+Math.sin(2*latitude*Math.PI/180)*Math.pow(Math.cos(latitude*Math.PI/180),2))/4+Math.sin(2*latitude*Math.PI/180)*Math.pow(Math.cos(latitude*Math.PI/180),2)*Math.pow(Math.cos(latitude*Math.PI/180),2))/3);
if (letter<'M')
northing = northing + 10000000;
northing=Math.round(northing*100)*0.01;
}
}
Raw
WGS84.java
/**
* Class representing WGS84-coordinates. Based on code from stack overflow.
* @see <a href="https://stackoverflow.com/questions/176137/java-convert-lat-lon-to-utm">Stack Overflow</a>
* @see <a href="https://en.wikipedia.org/wiki/World_Geodetic_System">Wikipedia-entry on WGS-84</a>
* @author Rolf Rander
*
*/
public class WGS84 {
private double latitude;
private double longitude;
public double getLatitude() {
return latitude;
}
public double getLongitude() {
return longitude;
}
public WGS84(double latitude, double longitude) {
this.latitude = latitude;
this.longitude = longitude;
}
public WGS84(UTM utm) {
fromUTM(utm.getZone(), utm.getLetter(), utm.getEasting(), utm.getNorthing());
}
public String toString() {
char ns = (latitude < 0) ? 'S' : 'N';
char ew = (longitude< 0) ? 'W' : 'E';
return String.format("%s%c %s%c", Math.abs(latitude), ns, Math.abs(longitude), ew);
}
@Override
public boolean equals(Object o) {
if(o instanceof WGS84) {
WGS84 other = (WGS84)o;
return (latitude == other.latitude) &&
(longitude == other.longitude);
}
return false;
}
@Override
public int hashCode() {
long llat = Double.doubleToRawLongBits(latitude);
long llon = Double.doubleToRawLongBits(longitude);
long x = llat ^ llon;
return (int)(x ^ (x >>> 32));
}
private void fromUTM(int zone, char letter, double easting, double northing)
{
double north;
if (letter>'M') {
north = northing;
} else {
north = northing - 10000000;
}
latitude = (north/6366197.724/0.9996+(1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)-0.006739496742*Math.sin(north/6366197.724/0.9996)*Math.cos(north/6366197.724/0.9996)*(Math.atan(Math.cos(Math.atan(( Math.exp((easting - 500000) / (0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting - 500000) / (0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2)/3))-Math.exp(-(easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*( 1 - 0.006739496742*Math.pow((easting - 500000) / (0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2)/3)))/2/Math.cos((north-0.9996*6399593.625*(north/6366197.724/0.9996-0.006739496742*3/4*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.pow(0.006739496742*3/4,2)*5/3*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996 )/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4-Math.pow(0.006739496742*3/4,3)*35/27*(5*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/3))/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2))+north/6366197.724/0.9996)))*Math.tan((north-0.9996*6399593.625*(north/6366197.724/0.9996 - 0.006739496742*3/4*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.pow(0.006739496742*3/4,2)*5/3*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996 )*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4-Math.pow(0.006739496742*3/4,3)*35/27*(5*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/3))/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2))+north/6366197.724/0.9996))-north/6366197.724/0.9996)*3/2)*(Math.atan(Math.cos(Math.atan((Math.exp((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2)/3))-Math.exp(-(easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2)/3)))/2/Math.cos((north-0.9996*6399593.625*(north/6366197.724/0.9996-0.006739496742*3/4*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.pow(0.006739496742*3/4,2)*5/3*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4-Math.pow(0.006739496742*3/4,3)*35/27*(5*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/3))/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2))+north/6366197.724/0.9996)))*Math.tan((north-0.9996*6399593.625*(north/6366197.724/0.9996-0.006739496742*3/4*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.pow(0.006739496742*3/4,2)*5/3*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4-Math.pow(0.006739496742*3/4,3)*35/27*(5*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/3))/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2))+north/6366197.724/0.9996))-north/6366197.724/0.9996))*180/Math.PI;
latitude=Math.round(latitude*10000000);
latitude=latitude/10000000;
longitude =Math.atan((Math.exp((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2)/3))-Math.exp(-(easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2)/3)))/2/Math.cos((north-0.9996*6399593.625*( north/6366197.724/0.9996-0.006739496742*3/4*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.pow(0.006739496742*3/4,2)*5/3*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2* north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4-Math.pow(0.006739496742*3/4,3)*35/27*(5*(3*(north/6366197.724/0.9996+Math.sin(2*north/6366197.724/0.9996)/2)+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/4+Math.sin(2*north/6366197.724/0.9996)*Math.pow(Math.cos(north/6366197.724/0.9996),2)*Math.pow(Math.cos(north/6366197.724/0.9996),2))/3)) / (0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2))))*(1-0.006739496742*Math.pow((easting-500000)/(0.9996*6399593.625/Math.sqrt((1+0.006739496742*Math.pow(Math.cos(north/6366197.724/0.9996),2)))),2)/2*Math.pow(Math.cos(north/6366197.724/0.9996),2))+north/6366197.724/0.9996))*180/Math.PI+zone*6-183;
longitude=Math.round(longitude*10000000);
longitude=longitude/10000000;
}
}
@jillesvangurp
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Thanks for this. I used this for adding utm support to my geogeometry project: https://github.com/jillesvangurp/geogeometry/blob/master/src/commonMain/kotlin/com/jillesvangurp/geo/utmcoordinates.kt

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