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## Copyright (C) 2009, José Luis García Pallero, <jgpallero@gmail.com>
##
## This file is part of OctPROJ.
##
## OctPROJ is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or (at
## your option) any later version.
##
## This program is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING. If not, see
## <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File}{[@var{lon},@var{lat}] =}op_inv(@var{X},@var{Y},@var{params})
##
## This function unprojects cartesian projected coordinates (in a defined
## cartographic projection) into geodetic coordinates using the PROJ.4 function
## pj_inv().
##
## @var{X} is a scalar or a vector containing the X projected coordinates.
## @var{Y} is a scalar or a vector containing the Y projected coordinates.
## @var{params} is a text string containing the projection parameters in PROJ.4
## format.
##
## @var{lon} is a scalar or a column vector containing the geodetic longitude,
## in radians.
## @var{lat} is a scalar or a column vector containing the geodetic latitude, in
## radians.
##
## If a projection error occurs, the resultant coordinates for the affected
## points have both Inf value and a warning message is emitted (one for each
## erroneous point).
## @seealso{op_fwd}
## @end deftypefn
function [lon,lat] = op_inv(X,Y,params)
try
functionName = 'op_inv';
argumentNumber = 3;
%*******************************************************************************
%NUMBER OF INPUT ARGUMENTS CHECKING
%*******************************************************************************
%number of input arguments checking
if nargin~=argumentNumber
error(['Incorrect number of input arguments (%d)\n\t ',...
'Correct number of input arguments = %d'],...
nargin,argumentNumber);
end
%*******************************************************************************
%INPUT ARGUMENTS CHECKING
%*******************************************************************************
%X must be a column vector
if ismatrix(X)
%lon dimensions
[row,col] = size(X);
%checking dimensions
if (row>1)&(col>1)
%error message
error('The first input argument must be scalar or column vector');
elseif col>1
%convert into column vector, if it was a row vector
X = X(:);
end
else
error('The first input argument is not numeric');
end
%Y must be a column vector
if ismatrix(Y)
%lat dimensions
[row,col] = size(Y);
%checking dimensions
if (row>1)&(col>1)
%error message
error('The second input argument must be scalar or column vector');
elseif col>1
%convert into column vector, if it was a row vector
Y = Y(:);
end
else
error('The second input argument is not numeric');
end
%params must be a text string
if ~ischar(params)
error('The third input argument is not a text string');
end
catch
%error message
error('\n\tIn function %s:\n\t -%s ',functionName,lasterr);
end
%*******************************************************************************
%COMPUTATION
%*******************************************************************************
try
%calling oct function
[lon,lat] = _op_inv(X,Y,params);
catch
%error message
error('\n\tIn function %s:\n\tIn function %s ',functionName,lasterr);
end
%*****END OF FUNCION*****
%*****FUNCTION TESTS*****
% %!test
% %! [x,y,z]=op_params(pi/5,pi/3,1000,6378388,1/297);
% %! assert(x,2587045.81927379,1e-5)
% %! assert(y,1879598.80960088,1e-5)
% %! assert(z,5501461.60635409,1e-5)
%!error(op_inv)
%!error(op_inv(1,2,3,4))
%!error(op_inv('string',2))
%!error(op_inv(1,'string',3))
%!error(op_inv(1,2,3))
%!error(op_inv([1 1;2 2],2,'+proj=poly +ellps=clrk66 +lon_0=90W'))
%!error(op_inv(1,[2 2;3 3],'+proj=poly +ellps=clrk66 +lon_0=90W'))
%*****END OF TESTS*****