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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 2000 - 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]=stdevf(x,fre,o)
//
//This function computes the standard deviation of the values of a
//vector or matrix x, each of them counted with a frequency signaled by
//the corresponding values of the integer vector or matrix fre with the
//same type of x.
//
//For a vector or matrix x, s=stdevf(x,fre) (or s=stdevf(x,fre,'*')
//returns in scalar s the standard deviation of all the entries of x,
//each value counted with the multiplicity indicated by the
//corresponding value of fre.
//
//s=stdevf(x,fre,'r')(or, equivalently, s=stdevf(x,fre,1)) returns in
//each entry of the row vector s the standard
//deviation of each column of x, each value counted with the
//multiplicity indicated by the corresponding value of fre.
//
//s=stdevf(x,fre,'c')(or, equivalently, s=stdevf(x,fre,2)) returns in
//each entry of the column vector s the standard
//deviation of each row of x, each value counted with the multiplicity
//indicated by the corresponding value of fre.
//
//
rhs=argn(2)
if rhs<2 then
error(msprintf(gettext("%s: Wrong number of input arguments: %d to %d expected.\n"),"stdevf",2,3)),
elseif rhs==2 then
o="*"
end
if or(size(x)<>size(fre)) then
error(msprintf(gettext("%s: Wrong size for input arguments #%d and #%d: Same dimensions expected.\n"),"stdevf",1,2))
end
if x==[] then s=%nan;return,end
//remove the median
if o=="*" then
y=x - meanf(x,fre)
elseif o=="r"|o==1,
y=x - ones(size(x,o),1)*meanf(x,fre,o)
elseif o=="c"|o==2,
y=x - meanf(x,fre,o)*ones(1,size(x,o))
else
error(msprintf(gettext("%s: Wrong value for input argument #%d: Must be in the set {%s}.\n"),...
"stdevf",3,"""*"",""r"",""c"",1,2")),
end
if size(x,o)==1 then
s=0*sum((y.^2).*fre,o)
else
s=sqrt(sum((y.^2).*fre,o)./(sum(fre,o)-1));
end
endfunction
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