You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: limit.m
    path of file: ./repos/OPEN_FPE_IFT/.previousVersions/V3 Functions
    
    the code of the file until where you have to start completion: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% This function calculates the centers and the width of the bins for incr1 and incr2.
%
% Arguments IN
% incr1 = Velocity increment for step tau1
% incr2 = Velocity increment for step tau2
% increment_bin = number of bins
%
% Arguments OUT
% dx = bin width for incr1
% dy = bin width for incr2
% x = Centers of bins for incr1
% y = Centers of bins for incr2
% dA = dx*dy = area of a single 2D bin this will be used for converting probability to probability 
%              density function
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function [dx,d
    
function calculates the centers and the width of the bins for incr1 and incr2.
%
% Arguments IN
% incr1 = Velocity increment for step tau1
% incr2 = Velocity increment for step tau2
% increment_bin = number of bins
%
% Arguments OUT
% dx = bin width for incr1
% dy = bin width for incr2
% x = Centers of bins for incr1
% y = Centers of bins for incr2
% dA = dx*dy = area of a single 2D bin this will be used for converting probability to probability 
%              density function
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function [dx,dy,x,y,dA] = limit(incr1,incr2,increment_bin)  
[~,x]       = hist(incr1,increment_bin);
[~,y]       = hist(incr2,increment_bin);

dx          = mean(diff(x));
dy          = mean(diff(y));

dA          = dx*dy;

%     dx              = range(incr1)/(increment_bin-1);
%     dy              = range(incr2)/(increment_bin-1);
%     x               = min(incr1):dx:max(incr1); 
%     y               = min(incr2):dy:max(incr2);

%     x               = linspace(min(incr1),max(incr1),increment_bin); 
%     y               = linspace(min(incr2),max(incr2),increment_bin);

%     x               = linspace(mean(incr1)-3*std(incr1), mean(incr1)+3*std(incr1),increment_bin);
%     y               = linspace(mean(incr2)-3*std(incr2), mean(incr2)+3*std(incr2),increment_bin);
%     dx              = mean(diff(x));
%     dy              = mean(diff(y));
%     dA              = dx*dy;
end