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    Metadata details:
    filename: Struc_flip_test.m
    path of file: ./repos/OPEN_FPE_IFT/.previousVersions/V4 Functions
    
    the code of the file until where you have to start completion: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% This function tests whether the data have to be flipped or not. The decision of flipping of data 
% depends on a simple relation of $3^{rd}$ order structure function ($S^{3}$) with the dissipation 
% based on the assumption of homogeneous isotropic turbulence (HIT). The thumb rule is that the 
% quantity ($S^{3}$) must be negative. In the literature, the keyword that goes with this picture 
% is vortex stretching. To verify this, a plot of ($S^{3}$) as a function of the scale $r$ is 
% plotted, from which it is possible to decide whether it is essential to flip the data or not.
% The condition is S3 should always be negative! If we see S3 to be positve===> we flip the data
% Actual flipping will be done in next function called 'normalization'
%
% Arguments IN
% data = it is the filtered data 
% Fs = Acquisition/Sampling Frequency in Hz
% int_L = Integral length scale in meters
% taylor_L = Taylors length scale in meters
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function Struc_flip_test(Fs,data,int_L,taylor_L,save_path)
set(groot, 'defaultAxesTickLabelInterpreter','latex'); 
set(groot, 'defaulttextinterpreter','latex');   
set(groot, 'defaultLegendInterpreter','latex');
set(groot, 'default
    
function tests whether the data have to be flipped or not. The decision of flipping of data 
% depends on a simple relation of $3^{rd}$ order structure function ($S^{3}$) with the dissipation 
% based on the assumption of homogeneous isotropic turbulence (HIT). The thumb rule is that the 
% quantity ($S^{3}$) must be negative. In the literature, the keyword that goes with this picture 
% is vortex stretching. To verify this, a plot of ($S^{3}$) as a function of the scale $r$ is 
% plotted, from which it is possible to decide whether it is essential to flip the data or not.
% The condition is S3 should always be negative! If we see S3 to be positve===> we flip the data
% Actual flipping will be done in next function called 'normalization'
%
% Arguments IN
% data = it is the filtered data 
% Fs = Acquisition/Sampling Frequency in Hz
% int_L = Integral length scale in meters
% taylor_L = Taylors length scale in meters
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function Struc_flip_test(Fs,data,int_L,taylor_L,save_path)
set(groot, 'defaultAxesTickLabelInterpreter','latex'); 
set(groot, 'defaulttextinterpreter','latex');   
set(groot, 'defaultLegendInterpreter','latex');
set(groot, 'defaultAxesTitle','latex');

m_data  =   mean(data);% mean of the data
clear r tau step S_exp_3
% r=logspace(-3,0,30);

r   = unique(round(logspace(log10(0.1*taylor_L*10^6),log10(2*int_L*10^6),40))./10^6,'stable');

tau(1:length(r))    = nan;
step(1:length(r))   = nan;

for k=1:length(r)
    tau(k)  = r(k)/m_data;
    step(k) = round(tau(k)*Fs);  
end