[37] | 1 | function X=ctranspose(X) |
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| 2 | %CTRANSPOSE (overloaded) |
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| 3 | |
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| 4 | % Author Johan Löfberg |
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| 5 | % $Id: ctranspose.m,v 1.2 2006/08/28 13:48:38 joloef Exp $ |
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| 6 | |
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| 7 | if isa(X,'blkvar') |
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| 8 | X = sdpvar(X); |
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| 9 | end |
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| 10 | |
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| 11 | n = X.dim(1); |
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| 12 | m = X.dim(2); |
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| 13 | ind = reshape(reshape(1:n*m,n,m)',n*m,1); |
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| 14 | if isreal(X.basis) |
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| 15 | X.basis = X.basis(ind,:); |
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| 16 | else |
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| 17 | X.basis = conj(X.basis(ind,:)); |
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| 18 | end |
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| 19 | X.dim(1) = m; |
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| 20 | X.dim(2) = n; |
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| 21 | % Reset info about conic terms |
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| 22 | X.conicinfo = [0 0]; |
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| 23 | |
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| 24 | % Flip noncommuting terms |
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| 25 | % Get all the tables, and expand them so that they correspond to the same |
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| 26 | % number of variables globally (nonCommutingTable is not up to date after a |
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| 27 | % new commuting variables has been defined, to save flops) |
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| 28 | nonCommutingTable = yalmip('nonCommutingTable'); |
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| 29 | [monomtable,variabletype] = yalmip('monomtable'); |
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| 30 | if size(monomtable,1)>size(nonCommutingTable,1) |
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| 31 | nonCommutingTable((1+size(nonCommutingTable,1)):(size(monomtable,1)),1) = (1+size(nonCommutingTable,1)):(size(monomtable,1)); |
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| 32 | end |
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| 33 | % Cast commutative variables as nc temporarily by adding them to the table |
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| 34 | commuting = find(~any(nonCommutingTable,2)); |
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| 35 | nonCommutingTable(commuting,1) = commuting; |
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| 36 | |
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| 37 | for i = 1:length(X.lmi_variables) |
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| 38 | if nonCommutingTable(X.lmi_variables(i),2) |
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| 39 | monoms = nonCommutingTable(X.lmi_variables(i),2:end); |
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| 40 | monoms(find(monoms)) = fliplr( monoms(find(monoms))); |
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| 41 | monoms = [nonCommutingTable(X.lmi_variables(i),1) monoms]; |
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| 42 | old = findrows(nonCommutingTable,monoms); |
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| 43 | old = findrows(nonCommutingTable(:,2:end),monoms(2:end)); |
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| 44 | if ~isempty(old) |
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| 45 | old = old(find((monoms(1) == nonCommutingTable(old,1)) | isnan(monoms(1)) & isnan(nonCommutingTable(old,1)))); |
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| 46 | end |
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| 47 | if isempty(old) |
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| 48 | % Create a new monomial |
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| 49 | monomtable(end+1,end+1) = 0; |
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| 50 | variabletype(end+1) = variabletype(X.lmi_variables(i)); |
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| 51 | nonCommutingTable = [nonCommutingTable;monoms]; |
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| 52 | X.lmi_variables(i) = size(nonCommutingTable,1); |
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| 53 | else |
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| 54 | X.lmi_variables(i) = old; |
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| 55 | end |
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| 56 | end |
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| 57 | end |
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| 58 | % Fucked up order (lmi_variables should be sorted and unique) |
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| 59 | if any(diff(X.lmi_variables)<0) |
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| 60 | [i,j]=sort(X.lmi_variables); |
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| 61 | X.basis = [X.basis(:,1) X.basis(:,j+1)]; |
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| 62 | X.lmi_variables = X.lmi_variables(j); |
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| 63 | end |
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| 64 | [un_Z_vars2] = uniquestripped(X.lmi_variables); |
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| 65 | if length(un_Z_vars2) < length(X.lmi_variables) |
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| 66 | [un_Z_vars,hh,jj] = unique(X.lmi_variables); |
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| 67 | if length(X.lmi_variables) ~=length(un_X_vars) |
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| 68 | X.basis = Z.basis*sparse([1 1+jj],[1 1+(1:length(jj))],ones(1,1+length(jj)))'; |
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| 69 | X.lmi_variables = un_Z_vars; |
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| 70 | end |
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| 71 | end |
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| 72 | if size(monomtable,2) < size(monomtable,1) |
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| 73 | monomtable(size(monomtable,1),size(monomtable,1)) = 0; |
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| 74 | end |
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| 75 | yalmip('nonCommutingTable',nonCommutingTable); |
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| 76 | yalmip('setmonomtable',monomtable,variabletype); |
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