%function out=shiftpp(in,rows,cols)
%performs partial-pixel shift (with wraparound) using FFT
% Modified from shiftpp.m to correct a phase factor that appeared when using
% odd sized arrays. 
% Manuel Guizar - Dec 13, 2007

% Copyright (c) 2016, Manuel Guizar Sicairos, James R. Fienup, University of Rochester
% All rights reserved.
% 
% Redistribution and use in source and binary forms, with or without
% modification, are permitted provided that the following conditions are
% met:
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%       notice, this list of conditions and the following disclaimer.
%     * Redistributions in binary form must reproduce the above copyright
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%       the documentation and/or other materials provided with the distribution
%     * Neither the name of the University of Rochester nor the names
%       of its contributors may be used to endorse or promote products derived
%       from this software without specific prior written permission.
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function out=shiftpp2(in,rows,cols)

[nr,nc]=size(in);
Nr = ifftshift([-fix(nr/2):ceil(nr/2)-1]);
Nc = ifftshift([-fix(nc/2):ceil(nc/2)-1]);
[Nc,Nr] = meshgrid(Nc,Nr);
out = ifft2(fft2(in).*exp(i*2*pi*(rows*Nr/nr+cols*Nc/nc)));
return