[37] | 1 | function F = sdpvar(X) |
---|
| 2 | % SDPVAR Converts a block variable to standard SDPVAR |
---|
| 3 | |
---|
| 4 | % Author Johan Löfberg |
---|
| 5 | % $Id: sdpvar.m,v 1.4 2005/06/17 13:02:01 joloef Exp $ |
---|
| 6 | |
---|
| 7 | |
---|
| 8 | % first, check that we have filled everything. |
---|
| 9 | [n,m] = size(X.blocks); |
---|
| 10 | |
---|
| 11 | if n==m |
---|
| 12 | % Perform symmetric extension |
---|
| 13 | for i = 1:n |
---|
| 14 | for j = i+1:n |
---|
| 15 | if isempty(X.blocks{i,j}) |
---|
| 16 | X.blocks{i,j} = X.blocks{j,i}; |
---|
| 17 | elseif isempty(X.blocks{j,i}) |
---|
| 18 | X.blocks{j,i} = X.blocks{i,j}'; |
---|
| 19 | end |
---|
| 20 | end |
---|
| 21 | end |
---|
| 22 | end |
---|
| 23 | |
---|
| 24 | for i = 1:n |
---|
| 25 | for j = 1:m |
---|
| 26 | ns(i,j) = size(X.blocks{i,j},1); |
---|
| 27 | ms(i,j) = size(X.blocks{i,j},2); |
---|
| 28 | % Indicate zero/eye blocks (simplies code below) |
---|
| 29 | if ns(i,j)==1 & ms(i,j) == 1 & isequal(X.blocks{i,j},0) |
---|
| 30 | ns(i,j) = 0; |
---|
| 31 | ms(i,j) = 0; |
---|
| 32 | end |
---|
| 33 | end |
---|
| 34 | end |
---|
| 35 | |
---|
| 36 | newns = ns; |
---|
| 37 | newms = ms; |
---|
| 38 | |
---|
| 39 | % Expand missing elements |
---|
| 40 | for i = 1:n |
---|
| 41 | for j = 1:m |
---|
| 42 | if ns(i,j) == 0 |
---|
| 43 | ns(i,j) = max(ns(i,:)); |
---|
| 44 | end |
---|
| 45 | if ms(i,j) == 0 |
---|
| 46 | ms(i,j) = max(ms(:,j)); |
---|
| 47 | end |
---|
| 48 | end |
---|
| 49 | end |
---|
| 50 | |
---|
| 51 | if any(any(ns==0)) | any(any(ms==0)) |
---|
| 52 | error('I cannot determine the implied size of some of the blocks'); |
---|
| 53 | end |
---|
| 54 | |
---|
| 55 | F = []; |
---|
| 56 | for i = 1:n |
---|
| 57 | Y = []; |
---|
| 58 | for j = 1:m |
---|
| 59 | if isequal(X.blocks{i,j},0) |
---|
| 60 | Y = [Y zeros(ns(i,j),ms(i,j))]; |
---|
| 61 | elseif isequal(X.blocks{i,j},1) |
---|
| 62 | Y = [Y eye(ns(i,j))]; |
---|
| 63 | elseif isempty(X.blocks{i,j}) & isempty(X.blocks{j,i}) |
---|
| 64 | Y = [Y zeros(ns(i,j),ms(i,j))]; |
---|
| 65 | else |
---|
| 66 | Y = [Y X.blocks{i,j}]; |
---|
| 67 | end |
---|
| 68 | end |
---|
| 69 | F = [F;Y]; |
---|
| 70 | end |
---|