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authorShashank2017-05-29 12:40:26 +0530
committerShashank2017-05-29 12:40:26 +0530
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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