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

function Res = Tilt_Spindle_error(dataX, dataX2,NbTurn, texte, path)
    L = length(dataX);
    res_per_rev = L/NbTurn;
    P = 0: (res_per_rev * NbTurn)-1;
    Pos = P'*360/res_per_rev;
    Theta = deg2rad(Pos)';

    D = 76.2; %distance entre les deux balls en milimetres

    x1 = myfit2(Pos, dataX);
    y1 = myfit2(Pos, dataX2);



    %Convert data to frequency domain and scale accordingly
    X2 = 2/(res_per_rev*NbTurn)*fft(x1);
    f2 = (0:L-1)./NbTurn;
    Y2 = 2/(res_per_rev*NbTurn)*fft(y1);


    % 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);
            Y2dec(i) = 0;
            Y2int(i) = Y2(i);
        else
            X2dec(i) = X2(i);
            X2int(i) = 0;
            Y2dec(i) = Y2(i);
            Y2int(i) = 0;
        end
    end

    if mod(length(f2),2) == 1 % Case length(f2) is odd -> the mirror image of the FFT is reflected between 2 harmonique
        for i = length(f2)/2+1.5:length(f2)
            if mod(f2(i-1), 1) == 0
                X2dec(i) = 0;
                X2int(i) = X2(i);
                Y2dec(i) = 0;
                Y2int(i) = Y2(i);
            else
                X2dec(i) = X2(i);
                X2int(i) = 0;
                Y2dec(i) = Y2(i);
                Y2int(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);
                Y2dec(i) = 0;
                Y2int(i) = Y2(i);
            else
                X2dec(i) = X2(i);
                X2int(i) = 0;
                Y2dec(i) = Y2(i);
                Y2int(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

    Y2int(1) = 0; %remove the data average/dc component
    Y2int(NbTurn+1) = 0; %Remove fondamental/eccentricity
    %  Y2int(length(f2)) = 0; %remove the data average/dc component
    Y2int(length(f2)-NbTurn+1) = 0; %Remove eccentricity


    % Extract the fondamentale-> exentricity
    for i = 1:length(f2)
        if i == NbTurn+1 || i==  length(f2)-NbTurn + 1
            X2fond(i) = X2(i);
            Y2fond(i) = Y2(i);
        else
            X2fond(i) = 0;
            Y2fond(i) = 0;
        end
    end

    X2tot = X2int + X2dec;
    Y2tot = Y2int + Y2dec;

    %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));

    %Convert data to "time" domain and scale accordingly
    Wyint = real((res_per_rev*NbTurn)/2*ifft(Y2int));
    Wydec = real((res_per_rev*NbTurn)/2*ifft(Y2dec));
    Wytot = real((res_per_rev*NbTurn)/2*ifft(Y2tot));

    Tint = atan((Wyint - Wxint)/(D*1000));
    Tdec = atan((Wydec - Wxdec)/(D*1000));
    Ttot = atan((Wytot - Wxtot)/(D*1000));

    %%
    fig = figure();

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

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

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

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

    %%
    strmin1 = ['Total error = ', num2str(Total_Error*1000000), ' \murad'];
    strmin2 = ['Residual synchronous error = ', num2str(Synchronous_Error*1000000), ' \murad' ];
    strmin3 = ['Asynchronous error = ', num2str(Asynchronous_Error*1000000), ' \murad'];
    dim0 =[0.04 0.5 0.3 .3];%x y w h basgauche to hautdroite
    dim1 =[0.15 0.65 0.3 .3];
    annotation('textbox',dim0, 'String',{ strmin1 , strmin2, strmin3}, 'FitBoxToText', 'on')
    annotation('textbox',dim1, 'String',texte, 'FitBoxToText', 'on')

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