📄 mean.m
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function [y]=mean(x,DIM,opt)
% MEAN calculates the mean of data elements.
%
% y = mean(x [,DIM] [,opt])
%
% DIM dimension
% 1 MEAN of columns
% 2 MEAN of rows
% N MEAN of N-th dimension
% default or []: first DIMENSION, with more than 1 element
%
% opt options
% 'A' arithmetic mean
% 'G' geometric mean
% 'H' harmonic mean
%
% Any combination between opt and DIM is possible. e.g.
% y = mean(x,2,'G')
% calculates the geometric mean of each row in x.
%
% features:
% - can deal with NaN's (missing values)
% - dimension argument also in Octave
% - compatible to Matlab and Octave
%
% see also: SUMSKIPNAN, MEAN, GEOMEAN, HARMMEAN
%
% This program 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 2 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 this program; if not, write to the Free Software
% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
% original Copyright by: KH <Kurt.Hornik@ci.tuwien.ac.at>
% Copyright (c) 2001-2002 by Alois Schloegl <a.schloegl@ieee.org>
% $Revision$
% $Id$
% Copyright (C) 2000-2004 by Alois Schloegl <a.schloegl@ieee.org>
% This is part of the NaN-toolbox. For more details see
% http://www.dpmi.tu-graz.ac.at/~schloegl/matlab/NaN/
if nargin<2
DIM=[];
opt='a';
end
if (nargin<3)
if ~isnumeric(DIM), %>=65;%abs('a'),
opt=DIM;
DIM=[];
else
opt='a';
end;
else
if ~isnumeric(DIM), %>=65;%abs('a'),
tmp=opt;
opt=DIM;
DIM=opt;
end;
end;
if isempty(DIM),
DIM=min(find(size(x)>1));
if isempty(DIM), DIM=1; end;
end;
%warning('off') % no more division-by-zero warnings
opt = upper(opt); % eliminate old version
if (opt == 'A')
[y, n] = sumskipnan(x,DIM);
y = y./n;
elseif (opt == 'G')
[y, n] = sumskipnan(log(x),DIM);
y = exp (y./n);
elseif (opt == 'H')
[y, n] = sumskipnan(1./x,DIM);
y = n./y;
else
fprintf (2,'mean: option `%s` not recognized', opt);
end
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