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function [x,y,utmzone] = deg2utm(Lat,Lon)
% -------------------------------------------------------------------------
% [x,y,utmzone] = deg2utm(Lat,Lon)
%
% Description: Function to convert lat/lon vectors into UTM coordinates (WGS84).
% Some code has been extracted from UTM.m function by Gabriel Ruiz Martinez.
%
% Inputs:
% Lat: Latitude vector. Degrees. +ddd.ddddd WGS84
% Lon: Longitude vector. Degrees. +ddd.ddddd WGS84
%
% Outputs:
% x, y , utmzone. See example
%
% Example 1:
% Lat=[40.3154333; 46.283900; 37.577833; 28.645650; 38.855550; 25.061783];
% Lon=[-3.4857166; 7.8012333; -119.95525; -17.759533; -94.7990166; 121.640266];
% [x,y,utmzone] = deg2utm(Lat,Lon);
% fprintf('%7.0f ',x)
% 458731 407653 239027 230253 343898 362850
% fprintf('%7.0f ',y)
% 4462881 5126290 4163083 3171843 4302285 2772478
% utmzone =
% 30 T
% 32 T
% 11 S
% 28 R
% 15 S
% 51 R
%
% Example 2: If you have Lat/Lon coordinates in Degrees, Minutes and Seconds
% LatDMS=[40 18 55.56; 46 17 2.04];
% LonDMS=[-3 29 8.58; 7 48 4.44];
% Lat=dms2deg(mat2dms(LatDMS)); %convert into degrees
% Lon=dms2deg(mat2dms(LonDMS)); %convert into degrees
% [x,y,utmzone] = deg2utm(Lat,Lon)
%
% Author:
% Rafael Palacios
% Universidad Pontificia Comillas
% Madrid, Spain
% Version: Apr/06, Jun/06, Aug/06, Aug/06
% Aug/06: fixed a problem (found by Rodolphe Dewarrat) related to southern
% hemisphere coordinates.
% Aug/06: corrected m-Lint warnings
%-------------------------------------------------------------------------
% Argument checking
%
error(nargchk(2, 2, nargin)); %2 arguments required
n1=length(Lat);
n2=length(Lon);
if (n1~=n2)
error('Lat and Lon vectors should have the same length');
end
% Memory pre-allocation
%
x=zeros(n1,1);
y=zeros(n1,1);
utmzone(n1,:)='60 X';
% Main Loop
%
for i=1:n1
la=Lat(i);
lo=Lon(i);
sa = 6378137.000000 ; sb = 6356752.314245;
%e = ( ( ( sa ^ 2 ) - ( sb ^ 2 ) ) ^ 0.5 ) / sa;
e2 = ( ( ( sa ^ 2 ) - ( sb ^ 2 ) ) ^ 0.5 ) / sb;
e2cuadrada = e2 ^ 2;
c = ( sa ^ 2 ) / sb;
%alpha = ( sa - sb ) / sa; %f
%ablandamiento = 1 / alpha; % 1/f
lat = la * ( pi / 180 );
lon = lo * ( pi / 180 );
Huso = fix( ( lo / 6 ) + 31);
S = ( ( Huso * 6 ) - 183 );
deltaS = lon - ( S * ( pi / 180 ) );
if (la<-72), Letra='C';
elseif (la<-64), Letra='D';
elseif (la<-56), Letra='E';
elseif (la<-48), Letra='F';
elseif (la<-40), Letra='G';
elseif (la<-32), Letra='H';
elseif (la<-24), Letra='J';
elseif (la<-16), Letra='K';
elseif (la<-8), Letra='L';
elseif (la<0), Letra='M';
elseif (la<8), Letra='N';
elseif (la<16), Letra='P';
elseif (la<24), Letra='Q';
elseif (la<32), Letra='R';
elseif (la<40), Letra='S';
elseif (la<48), Letra='T';
elseif (la<56), Letra='U';
elseif (la<64), Letra='V';
elseif (la<72), Letra='W';
else Letra='X';
end
a = cos(lat) * sin(deltaS);
epsilon = 0.5 * log( ( 1 + a) / ( 1 - a ) );
nu = atan( tan(lat) / cos(deltaS) ) - lat;
v = ( c / ( ( 1 + ( e2cuadrada * ( cos(lat) ) ^ 2 ) ) ) ^ 0.5 ) * 0.9996;
ta = ( e2cuadrada / 2 ) * epsilon ^ 2 * ( cos(lat) ) ^ 2;
a1 = sin( 2 * lat );
a2 = a1 * ( cos(lat) ) ^ 2;
j2 = lat + ( a1 / 2 );
j4 = ( ( 3 * j2 ) + a2 ) / 4;
j6 = ( ( 5 * j4 ) + ( a2 * ( cos(lat) ) ^ 2) ) / 3;
alfa = ( 3 / 4 ) * e2cuadrada;
beta = ( 5 / 3 ) * alfa ^ 2;
gama = ( 35 / 27 ) * alfa ^ 3;
Bm = 0.9996 * c * ( lat - alfa * j2 + beta * j4 - gama * j6 );
xx = epsilon * v * ( 1 + ( ta / 3 ) ) + 500000;
yy = nu * v * ( 1 + ta ) + Bm;
if (yy<0)
yy=9999999+yy;
end
x(i)=xx;
y(i)=yy;
utmzone(i,:)=sprintf('%02d %c',Huso,Letra);
end
>> which deg2utm
C:\Users\usuario\Documents\MATLAB\deg2utm.m
function [x,y,utmzone] = deg2utm(Lat,Lon)
% -------------------------------------------------------------------------
% [x,y,utmzone] = deg2utm(Lat,Lon)
%
% Description: Function to convert lat/lon vectors into UTM coordinates (WGS84).
% Some code has been extracted from UTM.m function by Gabriel Ruiz Martinez.
%
% Inputs:
% Lat: Latitude vector. Degrees. +ddd.ddddd WGS84
% Lon: Longitude vector. Degrees. +ddd.ddddd WGS84
%
% Outputs:
% x, y , utmzone. See example
%
% Example 1:
% Lat=[40.3154333; 46.283900; 37.577833; 28.645650; 38.855550; 25.061783];
% Lon=[-3.4857166; 7.8012333; -119.95525; -17.759533; -94.7990166; 121.640266];
% [x,y,utmzone] = deg2utm(Lat,Lon);
% fprintf('%7.0f ',x)
% 458731 407653 239027 230253 343898 362850
% fprintf('%7.0f ',y)
% 4462881 5126290 4163083 3171843 4302285 2772478
% utmzone =
% 30 T
% 32 T
% 11 S
% 28 R
% 15 S
% 51 R
%
% Example 2: If you have Lat/Lon coordinates in Degrees, Minutes and Seconds
% LatDMS=[40 18 55.56; 46 17 2.04];
% LonDMS=[-3 29 8.58; 7 48 4.44];
% Lat=dms2deg(mat2dms(LatDMS)); %convert into degrees
% Lon=dms2deg(mat2dms(LonDMS)); %convert into degrees
% [x,y,utmzone] = deg2utm(Lat,Lon)
%
% Author:
% Rafael Palacios
% Universidad Pontificia Comillas
% Madrid, Spain
% Version: Apr/06, Jun/06, Aug/06, Aug/06
% Aug/06: fixed a problem (found by Rodolphe Dewarrat) related to southern
% hemisphere coordinates.
% Aug/06: corrected m-Lint warnings
%-------------------------------------------------------------------------
% Argument checking
%
error(nargchk(2, 2, nargin)); %2 arguments required
n1=length(Lat);
n2=length(Lon);
if (n1~=n2)
error('Lat and Lon vectors should have the same length');
end
% Memory pre-allocation
%
x=zeros(n1,1);
y=zeros(n1,1);
utmzone(n1,:)='60 X';
% Main Loop
%
for i=1:n1
la=Lat(i);
lo=Lon(i);
sa = 6378137.000000 ; sb = 6356752.314245;
%e = ( ( ( sa ^ 2 ) - ( sb ^ 2 ) ) ^ 0.5 ) / sa;
e2 = ( ( ( sa ^ 2 ) - ( sb ^ 2 ) ) ^ 0.5 ) / sb;
e2cuadrada = e2 ^ 2;
c = ( sa ^ 2 ) / sb;
%alpha = ( sa - sb ) / sa; %f
%ablandamiento = 1 / alpha; % 1/f
lat = la * ( pi / 180 );
lon = lo * ( pi / 180 );
Huso = fix( ( lo / 6 ) + 31);
S = ( ( Huso * 6 ) - 183 );
deltaS = lon - ( S * ( pi / 180 ) );
if (la<-72), Letra='C';
elseif (la<-64), Letra='D';
elseif (la<-56), Letra='E';
elseif (la<-48), Letra='F';
elseif (la<-40), Letra='G';
elseif (la<-32), Letra='H';
elseif (la<-24), Letra='J';
elseif (la<-16), Letra='K';
elseif (la<-8), Letra='L';
elseif (la<0), Letra='M';
elseif (la<8), Letra='N';
elseif (la<16), Letra='P';
elseif (la<24), Letra='Q';
elseif (la<32), Letra='R';
elseif (la<40), Letra='S';
elseif (la<48), Letra='T';
elseif (la<56), Letra='U';
elseif (la<64), Letra='V';
elseif (la<72), Letra='W';
else Letra='X';
end
a = cos(lat) * sin(deltaS);
epsilon = 0.5 * log( ( 1 + a) / ( 1 - a ) );
nu = atan( tan(lat) / cos(deltaS) ) - lat;
v = ( c / ( ( 1 + ( e2cuadrada * ( cos(lat) ) ^ 2 ) ) ) ^ 0.5 ) * 0.9996;
ta = ( e2cuadrada / 2 ) * epsilon ^ 2 * ( cos(lat) ) ^ 2;
a1 = sin( 2 * lat );
a2 = a1 * ( cos(lat) ) ^ 2;
j2 = lat + ( a1 / 2 );
j4 = ( ( 3 * j2 ) + a2 ) / 4;
j6 = ( ( 5 * j4 ) + ( a2 * ( cos(lat) ) ^ 2) ) / 3;
alfa = ( 3 / 4 ) * e2cuadrada;
beta = ( 5 / 3 ) * alfa ^ 2;
gama = ( 35 / 27 ) * alfa ^ 3;
Bm = 0.9996 * c * ( lat - alfa * j2 + beta * j4 - gama * j6 );
xx = epsilon * v * ( 1 + ( ta / 3 ) ) + 500000;
yy = nu * v * ( 1 + ta ) + Bm;
if (yy<0)
yy=9999999+yy;
end
x(i)=xx;
y(i)=yy;
utmzone(i,:)=sprintf('%02d %c',Huso,Letra);
end