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