COEFFS_OUTPUT

function [W_0_out,R_0_out] = coeffs_output(W_0,R_0,order)
        

% COEFFS_OUTPUT This function prepared the autonomous SSM and RD coefficients
%
% in appropriate format and ordering as it is used in the toolbox for
% further analysis in lexicographic ordering of the multi-indices.
%
% [W_0_out,R_0_out] = COEFFS_OUTPUT(W_0,R_0,order)
%
% * W0:       autonomous SSM coefficients
%
% * R0:       autonomous RD coefficients
%
% * order:    approximation order up until which SSM is computed
%
% * W_0_out:  autonomous SSM coefficients in output format
%
% * R_0_out:  autonomous RD coefficients in output format
%
% See also: COMPUTE_WHISKER
        

W_0_out = repmat(struct('coeffs',[],'ind',[]),1,order);
R_0_out = repmat(struct('coeffs',[],'ind',[]),1,order);

l = size(R_0(1).coeffs,1);
for i = 1:order
    %create multi-indices
    if l >1
    K = sparse(sortrows(nsumk(l,i,'nonnegative')));
    else
        K=i;
    end
    % SSM coefficients with multi-indices
    idx_W_0     = all(W_0(i).coeffs==0);
    W_0_out(i).coeffs = W_0(i).coeffs(:,~idx_W_0);
    W_0_out(i).ind    =  K(~idx_W_0,:);

    % Reduced dynamics coefficients with multi-indices
    [~,idx_R_0] = find(R_0(i).coeffs);
    idx_R_0     = unique(idx_R_0);
    R_0_out(i).coeffs = R_0(i).coeffs(:,idx_R_0);
    R_0_out(i).ind   = K(idx_R_0,:);

end
        

end
        

Published with MATLAB® R2023a