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+
+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) 2001 - INRIA - Carlos Klimann
+//
+// 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 [s]=center(x,orient)
+ //
+ //This function computes s, the centered version of the
+ //numerical matrix x.
+ //
+ //For a vector or a matrix x, s=center(x) returns in the
+ //(i,j) coefficient of the matrix s the value
+ //(x(i,j)-xbar), where xbar is the mean of the values of
+ //the coefficients of x.
+ //
+ //s=center(x,'r') (or, equivalently, s=center(x,1)) is the
+ //rowwise center reduction of the values of x. It returns
+ //in the entry s(i,j) the value (x(i,j)-xbarv(j)) with
+ //xbarv(j) the mean of the values of the j column.
+ //
+ //s=center(x,'c') (or, equivalently, s=center(x,2)) is the
+ //columnwise centre reduction of the values of x. It
+ //returns in the entry s(i,j) the value (x(i,j)-xbarh(i))
+ //with xbarh(i) the mean of the values of the i row.
+ //
+
+ [lhs,rhs]=argn(0)
+ if (rhs<1)|(rhs>2) then error(msprintf(gettext("%s: Wrong number of input arguments: %d to %d expected.\n"),"center",1,2)), end
+ if x==[] then s=%nan, return, end
+ [m n]=size(x);
+ if rhs==1
+ xbar=(sum(x)/(m*n))
+ s=x-(ones(m,n)*xbar)
+ elseif orient=="c"|orient==2 then
+ xbar=sum(x,"c")/n
+ s=x-(xbar*ones(1,n))
+ elseif orient=="r"|orient==1 then
+ xbar=sum(x,"r")/m
+ s=x-(ones(m,1)*xbar)
+ else error(msprintf(gettext("%s: Wrong value for input argument #%d: ''%s'', ''%s'', %d or %d expected.\n"),"center",2,"r","c",1,2)),
+ end
+endfunction