function varargout=alldifferent(varargin) switch class(varargin{1}) case 'double' x = varargin{1}; x = sort(x(:)); varargout{1} = all(diff(x) > 0); case 'sdpvar' varargout{1} = set(yalmip('addextendedvariable',mfilename,varargin{:}) == 1); case 'char' x = varargin{3}; [nx,mx] = size(x); x = reshape(x,nx*mx,1); [M,m] = derivebounds(x); if 0 & all(M(1) == M) & all(m(1) == m) & (nx*mx == (M(1)-m(1) + 1)) % No benefit seen in this model in this special case so we % don't use it to (reduce possibility of introducing a new bug) d = binvar(nx*mx,nx*mx,'full'); F = set(d*(m(1):M(1))' == x) + set(sum(d,1) == 1) + set(sum(d,2) == 1); else % Add constraint |x(i)-x(j)| > 1 pairs = nchoosek(1:nx*mx,2); d = binvar(length(pairs),1); x1 = x(pairs(:,1)); x2 = x(pairs(:,2)); F = set(x1 - x2 > 1-(1+M(pairs(:,1))-m(pairs(:,2))).*d); F = F + set(x2 - x1 > 1-(1+M(pairs(:,2))-m(pairs(:,1))).*(1-d)); end varargout{1} = F; varargout{2} = struct('convexity','milp','monotonicity','milp','definiteness','milp','extra','marker'); varargout{3} = varargin{3}; end