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% FUNCTION taperfunc = radtap(X,Y,tappix,zerorad),
% Creates a central cosine tapering for
% beamstop. Recieves the X and Y coordinates, tappix is the extent of
% tapering, zerorad is the radius with no data (zeros).
%*-----------------------------------------------------------------------*
%|                                                                       |
%|  Except where otherwise noted, this work is licensed under a          |
%|  Creative Commons Attribution-NonCommercial-ShareAlike 4.0            |
%|  International (CC BY-NC-SA 4.0) license.                             |
%|                                                                       |
%|  Copyright (c) 2017 by Paul Scherrer Institute (http://www.psi.ch)    |
%|                                                                       |
%|      Author: CXS group, PSI  |
%*-----------------------------------------------------------------------*
% You may use this code with the following provisions:
%
% If the code is fully or partially redistributed, or rewritten in another
% computing language this notice should be included in the redistribution.
%
% If this code, or subfunctions or parts of it, is used for research in a
% publication or if it is fully or partially rewritten for another
% computing language the authors and institution should be acknowledged
% in written form in the publication: Data processing was carried out
% using the cSAXS matlab package developed by the CXS group,
% Paul Scherrer Institut, Switzerland.
% Variations on the latter text can be incorporated upon discussion with
% the CXS group if needed to more specifically reflect the use of the package
% for the published work.
%
% A publication that focuses on describing features, or parameters, that
% are already existing in the code should be first discussed with the
% authors.
%
% This code and subroutines are part of a continuous development, they
% are provided as they are without guarantees or liability on part
% of PSI or the authors. It is the user responsibility to ensure its
% proper use and the correctness of the results.
function taperfunc = radtap(X,Y,tappix,zerorad),
tau = 2*tappix; % period of cosine function (only half a period is used)
R = sqrt(X.^2+Y.^2);
% taperfunc = (R)>=10;
taperfunc = 0.5*(1+cos( 2*pi*(R-zerorad-tau/2)/tau ));
taperfunc = (R>zerorad+tau/2)*1.0 + taperfunc.*(R<=zerorad+tau/2);
taperfunc = taperfunc.*(R>=zerorad);