89 lines
2.0 KiB
Matlab
Executable File
89 lines
2.0 KiB
Matlab
Executable File
function y = vertcat(varargin)
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%VERTCAT (overloaded)
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prenargin = nargin;
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% Fast exit
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if prenargin<2
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y=varargin{1};
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return
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end
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% Get dimensions
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n = zeros(prenargin,1);
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m = zeros(prenargin,1);
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for i = 1:prenargin
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if isa(varargin{i},'blkvar')
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varargin{i} = sdpvar(varargin{i});
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end
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if isa(varargin{i},'sdpvar')
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varargin{i}= ncvar(struct(varargin{i}));
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end
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[n(i),m(i)]=size(varargin{i});
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end
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% Keep only non-empty
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keep_these = find((n.*m)~=0);
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if length(keep_these)<length(n)
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varargin = {varargin{keep_these}};
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n = n(keep_these);
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m = m(keep_these);
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end;
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% All widths should be equal
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if any(m~=m(1))
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error('All rows in the bracketed expression must have the same number of columns.');
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end
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nblocks = size(varargin,2);
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isasdpvar = zeros(nblocks,1);
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% Get dimensions
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for i = 1:nblocks
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isasdpvar(i) = isa(varargin{i},'ncvar');
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end
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% Find all free variables used
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all_lmi_variables = [];
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for i = 1:nblocks
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if isasdpvar(i)
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all_lmi_variables = [all_lmi_variables varargin{i}.lmi_variables];
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end
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end
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all_lmi_variables = uniquestripped(all_lmi_variables);
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% Pick one of the sdpvar objects to build on...
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y = varargin{min(find(isasdpvar))};
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% Some indexation tricks...
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basis_i = [];
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basis_j = [];
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basis_s = [];
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m = m(1);
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sumn=sum(n);
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shift=[0;cumsum(n)];
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for j = 1:nblocks
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if isasdpvar(j)
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in_this = find(ismembc(all_lmi_variables,varargin{j}.lmi_variables));
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dummy = [1 1+in_this];
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[i2,j2,s2] = find(varargin{j}.basis);
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j2 = dummy(j2);
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else
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[i2,j2,s2] = find(varargin{j}(:));
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end
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if ~isempty(j2)
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col = 1+floor((i2-1)/n(j));
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row = i2-(col-1)*n(j);
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basis_i = [basis_i;row(:)+shift(j)+sumn*(col(:)-1)];
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basis_j = [basis_j;j2(:)];
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basis_s = [basis_s;s2(:)];
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end
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end
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basis = sparse(basis_i,basis_j,basis_s,sum(n)*m,1+length(all_lmi_variables));
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y.dim(1) = sum(n);
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y.dim(2) = m;
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y.basis = basis;
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y.lmi_variables = all_lmi_variables;
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% Reset info about conic terms
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y.conicinfo = [0 0];
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