1 | function y = vertcat(varargin) |
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2 | %VERTCAT (overloaded) |
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3 | |
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4 | % Author Johan Löfberg |
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5 | % $Id: vertcat.m,v 1.2 2006/08/11 11:48:15 joloef Exp $ |
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6 | |
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7 | prenargin = nargin; |
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8 | % Fast exit |
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9 | if prenargin<2 |
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10 | y=varargin{1}; |
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11 | return |
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12 | end |
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13 | |
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14 | % Get dimensions |
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15 | n = zeros(prenargin,1); |
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16 | m = zeros(prenargin,1); |
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17 | for i = 1:prenargin |
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18 | if isa(varargin{i},'blkvar') |
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19 | varargin{i} = sdpvar(varargin{i}); |
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20 | end |
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21 | if isa(varargin{i},'sdpvar') |
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22 | varargin{i}= ncvar(struct(varargin{i})); |
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23 | end |
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24 | [n(i),m(i)]=size(varargin{i}); |
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25 | end |
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26 | |
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27 | % Keep only non-empty |
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28 | keep_these = find((n.*m)~=0); |
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29 | if length(keep_these)<length(n) |
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30 | varargin = {varargin{keep_these}}; |
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31 | n = n(keep_these); |
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32 | m = m(keep_these); |
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33 | end; |
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34 | |
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35 | % All widths should be equal |
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36 | if any(m~=m(1)) |
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37 | error('All rows in the bracketed expression must have the same number of columns.'); |
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38 | end |
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39 | |
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40 | nblocks = size(varargin,2); |
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41 | isasdpvar = zeros(nblocks,1); |
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42 | % Get dimensions |
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43 | for i = 1:nblocks |
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44 | isasdpvar(i) = isa(varargin{i},'ncvar'); |
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45 | end |
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46 | |
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47 | % Find all free variables used |
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48 | all_lmi_variables = []; |
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49 | for i = 1:nblocks |
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50 | if isasdpvar(i) |
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51 | all_lmi_variables = [all_lmi_variables varargin{i}.lmi_variables]; |
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52 | end |
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53 | end |
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54 | all_lmi_variables = uniquestripped(all_lmi_variables); |
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55 | |
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56 | % Pick one of the sdpvar objects to build on... |
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57 | y = varargin{min(find(isasdpvar))}; |
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58 | |
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59 | % Some indexation tricks... |
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60 | basis_i = []; |
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61 | basis_j = []; |
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62 | basis_s = []; |
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63 | m = m(1); |
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64 | sumn=sum(n); |
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65 | shift=[0;cumsum(n)]; |
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66 | for j = 1:nblocks |
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67 | if isasdpvar(j) |
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68 | in_this = find(ismembc(all_lmi_variables,varargin{j}.lmi_variables)); |
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69 | dummy = [1 1+in_this]; |
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70 | [i2,j2,s2] = find(varargin{j}.basis); |
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71 | j2 = dummy(j2); |
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72 | else |
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73 | [i2,j2,s2] = find(varargin{j}(:)); |
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74 | end |
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75 | if ~isempty(j2) |
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76 | col = 1+floor((i2-1)/n(j)); |
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77 | row = i2-(col-1)*n(j); |
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78 | basis_i = [basis_i;row(:)+shift(j)+sumn*(col(:)-1)]; |
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79 | basis_j = [basis_j;j2(:)]; |
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80 | basis_s = [basis_s;s2(:)]; |
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81 | end |
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82 | end |
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83 | basis = sparse(basis_i,basis_j,basis_s,sum(n)*m,1+length(all_lmi_variables)); |
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84 | |
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85 | y.dim(1) = sum(n); |
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86 | y.dim(2) = m; |
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87 | y.basis = basis; |
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88 | y.lmi_variables = all_lmi_variables; |
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89 | % Reset info about conic terms |
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90 | y.conicinfo = [0 0]; |
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91 | |
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