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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-en.txt
//
function [s]=nanstdev(x,orient)
//
//This function computes the standard deviation of the values of a
//vector or matrix x (ignoring the NANs).
//
//For a vector or a matrix x, y=nanstdev(x) returns in the scalar y the
//standard deviation of all the entries of x (ignoring the NANs).
//
//y=nanstdev(x,'r') (or, equivalently, y=nanstdev(x,1)) is the rowwise
//standard deviation. It returns in each entry of the row vector y the
//standard deviation of each column of x (ignoring the NANs).
//
//y=nanstdev(x,'c') (or, equivalently, y=nanstdev(x,2)) is the
//columnwise standard deviation. It returns in each entry of the column
//vector y the standard deviation of each row of x (ignoring the NANs).
//
//
//Fixings 2001-10-01. Communication from
//Collewet Guylaine <guylaine.collewet@cemagref.fr>
//
if x==[] then s=%nan, return, end
if argn(2)==0 then error(msprintf(gettext("%s: Wrong number of input argument: %d to %d expected.\n"),"nanstdev",1,2)), end
if argn(2)==1 then orient='*',end
if orient=='r' then orient=1,elseif orient=='c' then orient=2,end
isn=isnan(x)
Mean=nanmean(x,orient);
if orient=='*' then
N=size(x,orient)-sum(bool2s(isn),orient)
x=x-Mean
else
N=size(x,orient)-sum(bool2s(isn),orient)
ind=list();for k=size(x),ind($+1)=:;end
ind(orient)=ones(size(x,orient),1)
x=x-Mean(ind(:))
end
x(isn)=0
allnans=find(N==0)
N(allnans)=1
s=sqrt(sum(x.*x,orient)./max(N-1,1));
s(allnans)=%nan
endfunction
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