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: eq_dist_coeff.m
    path of file: ./repos/libDirectional/lib/external/eq_sphere_partitions/eq_point_set_props
    
    the code of the file until where you have to start completion: function coeff = eq_dist_coeff(dim,N,varargin)
%EQ_DIST_COEFF Coefficient of minimum distance of an EQ point set
%
%Syntax
% coeff = eq_dist_coeff(dim,N,options);
%
%Description
% COEFF = EQ_DIST_COEFF(dim,N) does the following:
% 1) uses the recursive zonal equal area sphere partitioning algorithm to 
%    partition the unit sphere S^dim into N regions,
% 2) finds the EQ point set, the set of center points of each region,
% 3) finds the minimum Euclidean distance between points of the EQ point set,
% 4) sets COEFF to be the coefficient in the expression for the lower bound on

    
function coeff = eq_dist_coeff(dim,N,varargin)
%EQ_DIST_COEFF Coefficient of minimum distance of an EQ point set
%
%Syntax
% coeff = eq_dist_coeff(dim,N,options);
%
%Description
% COEFF = EQ_DIST_COEFF(dim,N) does the following:
% 1) uses the recursive zonal equal area sphere partitioning algorithm to 
%    partition the unit sphere S^dim into N regions,
% 2) finds the EQ point set, the set of center points of each region,
% 3) finds the minimum Euclidean distance between points of the EQ point set,
% 4) sets COEFF to be the coefficient in the expression for the lower bound on
%    the minimum distance of a minimum energy point set:
%
%    DIST >= COEFF N^(-1/dim).
%
% The argument dim must be a positive integer.
% The argument N must be a positive integer or an array of positive integers. 
% The result COEFF will be an array of the same size as N.
%
% COEFF = EQ_DIST_COEFF(dim,N,'offset','extra'), for dim == 2 or dim == 3, uses
% experimental extra rotation offsets to try to maximize the minimum distance. 
% For dim > 3, extra offsets are not used.
%
%Notes
% The expression for the lower bound on minimum distance of a minimum r^(-s)
% energy point set on S^dim was given by [RakSZ95] for s == 0 and dim = 2, 
% [Dahl78] for s == dim-1, [KuiSS04 Theorem 8] for dim-1 <= s < dim and
% [KuiS98 (1.12) p. 525] for s > dim.
%
% Ideally eq_dist_coeff(dim,N) should tend