function varargout=mod(varargin) %MOD (overloaded) switch class(varargin{1}) case 'sdpvar' % Overloaded operator for SDPVAR objects. Pass on args and save them. if ~isa(varargin{2},'double') error('MOD is currently only supported for DOUBLE second argument'); end x = varargin{1}; y = varargin{2}; % Some boring code for scalarization if prod(size(x))==1 & prod(size(y))>1 x = x*ones(size(y)); elseif prod(size(y))==1 & prod(size(x))>1 y = y*ones(size(x)); end if ~all(size(x) == size(y)) error('Matrix dimensions must agree.'); end dim = size(x); x = reshape(x,prod(dim),1); y = reshape(y,prod(dim),1); z = []; % Create one variable for each element for i = 1:length(x) xi = extsubsref(x,i); yi = extsubsref(y,i); inarg = {xi,yi}; z = [z;yalmip('define',mfilename,inarg{:})]; end z = reshape(z,dim); varargout{1} = z; case 'char' % YALMIP send 'graph' when it wants the epigraph or hypograph % Description using epigraphs t = varargin{2}; x = varargin{3}; y = varargin{4}; % t = mod(x,y), i.e. t = x - n*y, n = floor(x/y) n = intvar(1,1); F = (t == x - y*n) + ((x/y) - 1 <= n <= (x/y)); varargout{1} = F; varargout{2} = struct('convexity','none','monotonicity','none','definiteness','none','model','integer'); varargout{3} = [x(:);y(:)]; otherwise error('Strange type on first argument in SDPVAR/MOD'); end