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} = setupMeta(lmi([]), mfilename,varargin{:}); case 'char' x = varargin{3}; [nx,mx] = size(x); x = reshape(x,nx*mx,1); [M,m] = derivebounds(x); if is(x,'lpcone') & is(x,'integer') & 1+(max(M)-min(m)) == length(x) % Simple permutation of x from given numbers n = nx*mx; B = binvar(n,n,'full'); F = [x == B*(min(m):max(M))', sum(B,1)==1,sum(B,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)); % d(i) = 0 ==> x1>x2 % d(i) = 1 ==> x2>x1 F = (x1 - x2 >= 1-(1+M(pairs(:,2))-m(pairs(:,1))).*d); F = F + (x2 - x1 >= 1-(1+M(pairs(:,1))-m(pairs(:,2))).*(1-d)); end varargout{1} = F; varargout{2} = struct('convexity','none','monotonicity','none','definiteness','none','extra','marker','model','integer'); varargout{3} = varargin{3}; end