nass-micro-station-measurements/static-spindle/Macros_ttt_spindle/Spindle_error.m

function [Res] = Spindle_error(data, NbTurn, texte, path)
    %%
    L = length(data);
    res_per_rev = L/NbTurn;

    P = 0:(res_per_rev*NbTurn-1);
    Pos = P' * 360/res_per_rev;
    Theta = deg2rad(Pos)';

    % Temperature correction
    x1 = myfit2(Pos, data);

    % Convert data to frequency domain and scale accordingly
    X2 = 2/(res_per_rev*NbTurn)*fft(x1);
    f2 = (0:L-1)./NbTurn; %upr -> once per revolution

    %% Separate the fft integers and not-integers
    for i = 1:length(f2)
        if mod(f2(i), 1) == 0
            X2dec(i) = 0;
            X2int(i) = X2(i);
        else
            X2dec(i) = X2(i);
            X2int(i) = 0;
        end
    end

    %% Case length(f2) is odd -> the mirror image of the FFT is reflected between 2 harmonique
    if mod(length(f2),2) == 1
        for i = length(f2)/2+1.5:length(f2)
            if mod(f2(i-1), 1) == 0
                X2dec(i) = 0;
                X2int(i) = X2(i);
            else
                X2dec(i) = X2(i);
                X2int(i) = 0;
            end
        end
    else % Case length(f2) is even -> the mirror image of the FFT is reflected at the Nyquist frequency
        for i = length(f2)/2+1:length(f2)
            if mod(f2(i), 1) == 0
                X2dec(i) = 0;
                X2int(i) = X2(i);
            else
                X2dec(i) = X2(i);
                X2int(i) = 0;
            end
        end
    end

    %%
    X2int(1) = 0; %remove the data average/dc component
    X2int(NbTurn+1) = 0; %Remove fondamental/eccentricity
    % X2int(length(f2)) = 0; %remove the data average/dc component
    X2int(length(f2)-NbTurn+1) = 0; %Remove eccentricity


    %% Extract the fondamental -> exentricity
    for i = 1:length(f2)
        if i == NbTurn+1 || i == length(f2)-NbTurn+1
            X2fond(i) = X2(i);
        else
            X2fond(i) = 0;
        end
    end

    X2tot = X2int + X2dec;

    Wxfond = real((res_per_rev*NbTurn)/2 * ifft(X2fond)); % Convert data to "time" domain and scale accordingly
    Wxint = real((res_per_rev*NbTurn)/2 * ifft(X2int));
    Wxdec = real((res_per_rev*NbTurn)/2 * ifft(X2dec));
    Wxtot = real((res_per_rev*NbTurn)/2 * ifft(X2tot));

    %%
    fig = figure();

    subplot(3, 2, 5);
    bar(f2(1:50*NbTurn),1000*abs(X2int(1:50*NbTurn)),3);
    axis([0,50,0,1000*max(abs(X2int(1:50*NbTurn)))]);
    title ('Fourier integer');
    xlabel('UPR'); ylabel ('nm')

    subplot(3, 2, 6);
    bar(f2(1:50*NbTurn),1000*abs(X2dec(1:50*NbTurn)),2);
    title('Fourier non-integer');
    axis([0,50,0,1000*max(abs(X2dec(1:50*NbTurn)))]);
    title('Fourier non-integer');
    xlabel('UPR'); ylabel ('nm')

    % Eccentricity
    Eccentricity = max(Wxfond) - min(Wxfond);

    % total error motion X
    Total_Error = max(Wxtot) - min(Wxtot);

    % lsc X synchronous
    Synchronous_Error = max(Wxint) - min(Wxint);

    % lsc X Asynchronous
    var = reshape(Wxdec,length(Wxdec)/NbTurn,NbTurn);
    for i = 1:length(Wxdec)/NbTurn
        Asynch(i) = max(var(i,:)) - min(var(i,:));
    end
    Asynchronous_Error = max(Asynch) - min(Asynch);

    % Raw Error Motion without Exentricity (sync +asynch)
    subplot(3, 2, 2);
    polar2(Theta,Wxtot, 'b');
    title ('Total error');
    % Residual Synchronous Error Motion without Exentricity (ie fondamental sync err motion)
    subplot(3, 2, 3);
    polar2(Theta,Wxint,'b');
    title('Residual synchronous error');
    % Asynchronous Error Motion
    subplot(3, 2, 4);
    polar2(Theta,Wxdec, 'b');
    title('Asynchronous error');

    strmin0 = ['Eccentricity= ', num2str(Eccentricity), ' \mum '];
    strmin1 = ['Total error = ', num2str(Total_Error*1000), ' nm'];
    strmin2 = ['Residual synchronous error = ', num2str(Synchronous_Error*1000), ' nm' ];
    strmin3 = ['Asynchronous error = ', num2str(Asynchronous_Error*1000), ' nm'];
    dim0 = [0.1 0.55 0.3 .3];%x y w h basgauche to hautdroite
    dim1 = [0.15 0.65 0.3 .3];
    annotation('textbox',dim0, 'String',{ strmin0 ,strmin1 , strmin2, strmin3}, 'FitBoxToText', 'on')
    annotation('textbox',dim1, 'String',texte, 'FitBoxToText', 'on')

    saveas(fig,fullfile(path,char(texte)),'jpg');
    Res = 1;
    close all;
end