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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 1999 - 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 [hm]=harmean(x,orien)
//This function computes the harmonic mean of a vector or matrix x.
//
//For a vector or matrix x, hm=harmean(x) returns in scalar hm the
//harmonic mean of all the entries of x.
//
//hm=harmean(x,'r')(or, equivalently, hm=harmean(x,1)) returns in each
//entry of the row vector hm the harmonic mean of each column of x.
//
//hm=harmean(x,'c')(or, equivalently, hm=harmean(x,2)) returns in each
//entry of the column vector hm the harmonic mean of each row of x.
//
//Nota: In the computation of the harmonic mean we consider only the non
//zero values of x.
//
//References: Wonacott, T.H. & Wonacott, R.J.; Introductory
//Statistics, J.Wiley & Sons, 1990.
//
//
[lhs, rhs] = argn(0)
if rhs == 0 then
error(msprintf(gettext("%s: Wrong number of input arguments: %d to %d expected.\n"),"harmean",1,2))
end
if x == [] then
hm = %nan
return
end
if rhs == 1 then
hm = 1/(sum(1 ./x(x<>0))/sum(x<>0))
return
elseif rhs == 2 then
if orien == "r" | orien == 1 then
le = ones(1,size(x,1))*bool2s(x<>0)
elseif orien == "c" | orien == 2 then
le = bool2s(x<>0)*ones(size(x,2),1)
else error(msprintf(gettext("%s: Wrong value for input argument #%d: ''%s'', ''%s'', %d or %d expected.\n"),"harmean",2,"r","c",1,2)), end
x(x==0) = %inf
hm = 1 ./(sum(1 ./x,orien) ./le)
else
error(msprintf(gettext("%s: Wrong number of input arguments: %d to %d expected.\n"),"harmean",1,2)),
end
endfunction
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