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: circ_mtest.m
    path of file: ./repos/Image-Harmonization-Dataset-iHarmony4/Xue et al/dependency/CircStat2011f
    
    the code of the file until where you have to start completion: function [h mu ul ll] = circ_mtest(alpha, dir, xi, w, d)
%
% [pval, z] = circ_mtest(alpha, dir, w, d)
%   One-Sample test for the mean angle.
%   H0: the population has mean dir.
%   HA: the population has not mean dir.
%
%   Note: This is the equvivalent to a one-sample t-test with specified
%         mean direction.
%
%   Input:
%     alpha	sample of angles in radians
%     dir   assumed mean direction
%     [xi   alpha level of the test]
%     [w		number of incidences in case of binned angle data]
%     [d    spacing of bin centers for binned data, if supplied 
%           correction factor is used to correct for bias in 

    
function [h mu ul ll] = circ_mtest(alpha, dir, xi, w, d)
%
% [pval, z] = circ_mtest(alpha, dir, w, d)
%   One-Sample test for the mean angle.
%   H0: the population has mean dir.
%   HA: the population has not mean dir.
%
%   Note: This is the equvivalent to a one-sample t-test with specified
%         mean direction.
%
%   Input:
%     alpha	sample of angles in radians
%     dir   assumed mean direction
%     [xi   alpha level of the test]
%     [w		number of incidences in case of binned angle data]
%     [d    spacing of bin centers for binned data, if supplied 
%           correction factor is used to correct for bias in 
%           estimation of r, in radians (!)]
%
%   Output:
%     h     0 if H0 can not be rejected, 1 otherwise
%     mu    mean
%     ul    upper (1-xi) confidence level
%     ll    lower (1-xi) confidence level
%
% PHB 7/6/2008
%
% References:
%   Biostatistical Analysis, J. H. Zar
%
% Circular Statistics Toolbox for Matlab

% By Philipp Berens, 2009
% berens@tuebingen.mpg.de - www.kyb.mpg.de/~berens/circStat.html

if size(alpha,2) > size(alpha,1)
	alpha = alpha';
end