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71 lines
3.1 KiB
Matlab
71 lines
3.1 KiB
Matlab
% GET_ROTATION_MATRIX_3D generate 3D rotation matrix of size 3x3xn
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%
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% rot_3D = get_rotation_matrix_3D(chi, psi, theta)
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%
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% Inputs:
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% chi, psi, theta - rotation angles in degrees , vector or scalar
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%*-----------------------------------------------------------------------*
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%| |
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%| Except where otherwise noted, this work is licensed under a |
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%| Creative Commons Attribution-NonCommercial-ShareAlike 4.0 |
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%| International (CC BY-NC-SA 4.0) license. |
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%| |
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%| Copyright (c) 2017 by Paul Scherrer Institute (http://www.psi.ch) |
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%| |
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%| Author: CXS group, PSI |
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%*-----------------------------------------------------------------------*
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% You may use this code with the following provisions:
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%
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% If the code is fully or partially redistributed, or rewritten in another
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% computing language this notice should be included in the redistribution.
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%
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% If this code, or subfunctions or parts of it, is used for research in a
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% publication or if it is fully or partially rewritten for another
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% computing language the authors and institution should be acknowledged
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% in written form in the publication: “Data processindg was carried out
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% usindg the “cSAXS matlab package” developed by the CXS group,
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% Paul Scherrer Institut, Switzerland.”
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% Variations on the latter text can be incorporated upon discussion with
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% the CXS group if needed to more specifically reflect the use of the package
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% for the published work.
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%
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% A publication that focuses on describing features, or parameters, that
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% are already existing in the code should be first discussed with the
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% authors.
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%
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% This code and subroutines are part of a continuous development, they
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% are provided “as they are” without guarantees or liability on part
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% of PSI or the authors. It is the user responsibility to ensure its
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% proper use and the correctness of the results.
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function rot_3D = get_rotation_matrix_3D(chi, psi, theta)
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if numel(chi) ~= numel(psi) || numel(psi) ~= numel(theta)
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error('Input sizes are not indentical')
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end
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N = numel(chi);
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rot_3D = zeros(3,3,N);
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for ii = 1:N
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Rx = [ 1, 0, 0 ;
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0, cosd(chi(ii)), -sind(chi(ii));
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0, sind(chi(ii)), cosd(chi(ii))];
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Ry = [ cosd(psi(ii)), 0, sind(psi(ii)) ;
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0, 1, 0;
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-sind(psi(ii)), 0, cosd(psi(ii))];
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Rz = [ cosd(theta(ii)), -sind(theta(ii)), 0 ;
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sind(theta(ii)), cosd(theta(ii)), 0;
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0, 0, 1];
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rot_3D(:,:,ii) = Rx*Ry*Rz;
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end
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end
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