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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 1999 - INRIA - Carlos Klimann
// corrected by bruno pincon (2006-08-16) (fix for bug 2092)
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
//
function [s2]=mad(x,orien)
//
//This function computes the mean absolute deviation of a vector or
//matrix x.
//
//For a vector or matrix x, s2=mad(x) returns in scalar s2 the mean
//absolute deviation of all the entries of x.
//
//s2=mad(x,'r')(or, equivalently, s2=mad(x,1)) returns in each entry of
//the column vector s2 the mean absolute deviation of each column of x.
//
//s2=mad(x,'c')(or, equivalently, s2=mad(x,2)) returns in each entry of
//the column vector s2 the mean absolute deviation of each row of x.
//
//Reference: Wonacott T.H.& Wonacott R.J. .- Introductory Statistics,
//5th edition, John Wiley, 1990.
//
//References: Wonacott, T.H. & Wonacott, R.J.; Introductory
//Statistics, J.Wiley & Sons, 1990.
//
[lhs,rhs]=argn()
if rhs < 1 | rhs > 2 then
error(msprintf(gettext("%s: Wrong number of input argument: %d to %d expected.\n"),"mad",1,2)),
end
if x==[] then s2=%nan, return, end
[nrow,ncol] = size(x);
if rhs==1 then
s2=sum(abs(x-mean(x)))/(nrow*ncol)
else // rhs == 2
if orien=="r" | orien==1 then
s2=sum(abs(x-(ones(nrow,1)*mean(x,1))),1)/nrow
elseif orien=="c" | orien==2 then
s2=sum(abs(x-(mean(x,2)*ones(1,ncol))),2)/ncol
else
error(msprintf(gettext("%s: Wrong value for input argument #%d: ''%s'', ''%s'', %d or %d expected.\n"),"mad",2, "r","c",1,2)),
end
end
endfunction
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