[37] | 1 | function varargout = or(varargin) |
---|
| 2 | %OR (overloaded) |
---|
| 3 | |
---|
| 4 | % Author Johan Löfberg |
---|
| 5 | % $Id: or.m,v 1.8 2006/05/14 17:21:09 joloef Exp $ |
---|
| 6 | |
---|
| 7 | % Models OR using a nonlinear operator definition |
---|
| 8 | switch class(varargin{1}) |
---|
| 9 | case 'char' |
---|
| 10 | z = varargin{2}; |
---|
| 11 | X = varargin{3}; |
---|
| 12 | Y = varargin{4}; |
---|
| 13 | |
---|
| 14 | F = set([]); |
---|
| 15 | switch class(X) |
---|
| 16 | case 'sdpvar' |
---|
| 17 | x = X; |
---|
| 18 | xvars = getvariables(x); |
---|
| 19 | allextvars = yalmip('extvariables'); |
---|
| 20 | if (length(xvars)==1) & ismembc(xvars,allextvars) |
---|
| 21 | [x,F] = expandor(x,allextvars,F); |
---|
| 22 | end |
---|
| 23 | |
---|
| 24 | case 'constraint' |
---|
| 25 | x = binvar(1,1); |
---|
| 26 | F = F + set(implies_internal(x,X)); |
---|
| 27 | otherwise |
---|
| 28 | end |
---|
| 29 | switch class(Y) |
---|
| 30 | case 'sdpvar' |
---|
| 31 | y = Y; |
---|
| 32 | yvars = getvariables(y); |
---|
| 33 | allextvars = yalmip('extvariables'); |
---|
| 34 | if (length(yvars)==1) & ismembc(yvars,allextvars) |
---|
| 35 | [y,F] = expandor(y,allextvars,F); |
---|
| 36 | end |
---|
| 37 | case 'constraint' |
---|
| 38 | y = binvar(1,1); |
---|
| 39 | F = F + set(implies_internal(y,Y)); |
---|
| 40 | otherwise |
---|
| 41 | end |
---|
| 42 | |
---|
| 43 | xy = [x y]; |
---|
| 44 | |
---|
| 45 | varargout{1} = F + set(sum(xy) > z) + set(z > xy) +set(binary(z)); |
---|
| 46 | varargout{2} = struct('convexity','none','monotonicity','exact','definiteness','none'); |
---|
| 47 | varargout{3} = xy; |
---|
| 48 | |
---|
| 49 | case {'sdpvar','constraint'} |
---|
| 50 | x = varargin{1}; |
---|
| 51 | y = varargin{2}; |
---|
| 52 | varargout{1} = yalmip('addextendedvariable','or',varargin{:}); |
---|
| 53 | |
---|
| 54 | otherwise |
---|
| 55 | end |
---|
| 56 | |
---|
| 57 | |
---|
| 58 | function [x,F] = expandor(x,allextvars,F) |
---|
| 59 | |
---|
| 60 | xmodel = yalmip('extstruct',getvariables(x)); |
---|
| 61 | |
---|
| 62 | if isequal(xmodel.fcn,'or') |
---|
| 63 | X1 = xmodel.arg{1}; |
---|
| 64 | X2 = xmodel.arg{2}; |
---|
| 65 | |
---|
| 66 | switch class(X1) |
---|
| 67 | case 'sdpvar' |
---|
| 68 | x1 = X1; |
---|
| 69 | xvars = getvariables(x1); |
---|
| 70 | if ismembc(xvars,allextvars) |
---|
| 71 | [x1,F] = expandor(x1,allextvars,F); |
---|
| 72 | end |
---|
| 73 | |
---|
| 74 | case 'constraint' |
---|
| 75 | x1 = binvar(1,1); |
---|
| 76 | F = F + set(iff_internal(X1,x1)); |
---|
| 77 | otherwise |
---|
| 78 | end |
---|
| 79 | switch class(X2) |
---|
| 80 | case 'sdpvar' |
---|
| 81 | x2 = X2; |
---|
| 82 | yvars = getvariables(x2); |
---|
| 83 | if ismembc(yvars,allextvars) |
---|
| 84 | [x2,F] = expandor(x2,allextvars,F); |
---|
| 85 | end |
---|
| 86 | case 'constraint' |
---|
| 87 | x2 = binvar(1,1); |
---|
| 88 | F = F + set(iff_internal(X2,x2)); |
---|
| 89 | otherwise |
---|
| 90 | end |
---|
| 91 | x = [x1 x2]; |
---|
| 92 | end |
---|