?? flix.m
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function Y=flix(D,x)
% floating point index - interpolates data in case of non-integer indices
%
% Y=flix(D,x)
% FLIX returns Y=D(x) if x is an integer
% otherwise D(x) is interpolated from the neighbors D(ceil(x)) and D(floor(x))
%
% Applications:
% (1) discrete Dataseries can be upsampled to higher sampling rate
% (2) transformation of non-equidistant samples to equidistant samples
% (3) [Q]=flix(sort(D),q*(length(D)+1)) calculates the q-quantile of data series D
%
% see also: HIST2RES, Y2RES, PLOTCDF, INTERP1
% 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 2 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, write to the Free Software
% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
% $Revision: 1.7 $
% $Id: trimean.m,v 1.7 2003/09/19 09:30:34 schloegl Exp $
% Copyright (C) 1996-2003 by Alois Schloegl <a.schloegl@ieee.org>
D = D(:);
Y = x;
k1 = ((x >= 1) & (x <= size(D,1)));
Y(~k1) = NaN;
k = x - floor(x); % distance to next sample
ix = ~k & k1; % find integer indices
Y(ix) = D(x(ix)); % put integer indices
ix = k & k1; % find non-integer indices
Y(ix) = D(floor(x(ix))).*(1-k(ix)) + D(ceil(x(ix))).*k(ix);
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