function itd = dietz2011_unwrapitd(itd,ild,f_inst,tr)
%dietz2011_unwrapitd unwraps the given itd using the sign of the corresponding ild
%   Usage: itd = dietz2011_unwrapitd(itd,ild,f_inst,tr)
%
%   Input parameters:
%       itd    : itd to unwrap
%       ild    : corresponding ild value
%       f_inst : instantaneous frequency
%       tr     : only apply the unwrap mechanism for ild greater than the
%                threshold tr, because for values near 0 it could be wrong
%                (default: 2.5)
%
%   Output parameters:
%       itd    : unwrapped itd
%
%   DIETZ2011_UNWRAPITD(itd,ild,f_inst,tr) unwraps the given itd using the sign of the
%   corresponding ild value. Unwrapping means, that the ild value is used to
%   decide to which direction the itd belongs, which can be unclear for
%   large values, because of the pi limit (see Dietz et al. 2011, Fig. 2).
%
%   See also: dietz2011, wierstorf2013
%
%   References:
%     M. Dietz, S. D. Ewert, and V. Hohmann. Auditory model based direction
%     estimation of concurrent speakers from binaural signals. Speech
%     Communication, 53(5):592--605, 2011. [1]http ]
%     
%     H. Wierstorf, A. Raake, and S. Spors. Binaural assessment of
%     multi-channel reproduction. In J. Blauert, editor, The technology of
%     binaural listening, chapter 10. Springer, Berlin--Heidelberg--New York
%     NY, 2013.
%     
%     References
%     
%     1. http://www.sciencedirect.com/science/article/pii/S016763931000097X
%     
%
%   Url: http://amtoolbox.org/amt-1.1.0/doc/modelstages/dietz2011_unwrapitd.php

% Copyright (C) 2009-2021 Piotr Majdak, Clara Hollomey, and the AMT team.
% This file is part of Auditory Modeling Toolbox (AMT) version 1.1.0
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program.  If not, see <http://www.gnu.org/licenses/>.

% AUTHOR: Mathias Dietz, Hagen Wierstorf (for AMT)

%% ===== Checking of input parameters ===================================
nargmin = 3;
nargmax = 4;
narginchk(nargmin,nargmax);
if nargin==3
    tr = 2.5;
end


%% ===== Calculation ====================================================
itd = itd + ...
    round( ... % this will be -1,0,1
        0.4*sign(round(ild/2 / (abs(tr)+1e-9))) - 0.4*sign(itd) ) ...
    ./ f_inst;