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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA
//
// 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 [t] = atanh(z)
    //
    //  PURPOSE
    //     element wise hyperbolic arctangent
    //
    //  METHOD
    //     based on the formula  atanh(z) = i atan(-i z)
    //

    rhs = argn(2);

    if rhs <> 1 then
        error(msprintf(gettext("%s: Wrong number of input argument(s): %d expected.\n"),"atanh",1));
    end

    if type(z)<>1 then
        error(msprintf(gettext("%s: Wrong type for input argument #%d: Real or complex matrix expected.\n"),"atanh",1));
    end

    if isreal(z) then
        if max(abs(z)) > 1 then  // il faut faire le test ds ce sens pour
            // les Nan (sinon on obtient NaN + i NaN ! )
            // result is complex
            t = imult(atan(-imult(z)));
        else
            // result is real
            t= -imag(atan(-imult(z)));
        end
    else
        t = imult(atan(-imult(z)));
    end

endfunction