285 lines
9.7 KiB
Matlab
Executable File
285 lines
9.7 KiB
Matlab
Executable File
function y = plus(X,Y)
|
|
%PLUS (overloaded)
|
|
|
|
% Cannot use isa here since blkvar is marked as sdpvar
|
|
X_class = class(X);
|
|
Y_class = class(Y);
|
|
X_is_spdvar = strcmp(X_class,'sdpvar');
|
|
Y_is_spdvar = strcmp(Y_class,'sdpvar');
|
|
|
|
% Convert block objects
|
|
if ~X_is_spdvar
|
|
if isa(X,'blkvar')
|
|
X = sdpvar(X);
|
|
X_is_spdvar = isa(X,'sdpvar');
|
|
elseif isa(X,'intval')
|
|
X_is_spdvar = 0;
|
|
Y.basis = intval(Y.basis);
|
|
elseif isa(X,'uint8') || isa(X,'uint16') || isa(X,'uint32') || isa(X,'uint64')
|
|
X = double(X);
|
|
elseif ~isnumeric(X)
|
|
error(['Cannot add SDPVAR object and ' upper(class(X)) ' object']);
|
|
end
|
|
end
|
|
|
|
if ~Y_is_spdvar
|
|
if isa(Y,'blkvar')
|
|
Y = sdpvar(Y);
|
|
Y_is_spdvar = isa(Y,'sdpvar');;
|
|
elseif isa(Y,'intval')
|
|
Y_is_spdvar = 0;
|
|
X.basis = intval(X.basis);
|
|
elseif isa(Y,'uint8') || isa(Y,'uint16') || isa(Y,'uint32') || isa(Y,'uint64')
|
|
Y = double(Y);
|
|
elseif ~isnumeric(Y)
|
|
error(['Cannot add SDPVAR object and ' upper(class(Y)) ' object']);
|
|
end
|
|
end
|
|
|
|
if X_is_spdvar
|
|
if X.typeflag == 40
|
|
y = addgkyp(X,Y);
|
|
return
|
|
end
|
|
else
|
|
if any(isnan(X))
|
|
error('Adding NaN to an SDPVAR makes no sense.');
|
|
end
|
|
end
|
|
if Y_is_spdvar
|
|
if Y.typeflag == 40
|
|
y = addgkyp(Y,X);
|
|
return
|
|
end
|
|
else
|
|
if any(isnan(Y))
|
|
error('Adding NaN to an SDPVAR makes no sense.');
|
|
end
|
|
end
|
|
|
|
switch 2*X_is_spdvar+Y_is_spdvar
|
|
case 1
|
|
if isempty(X)
|
|
try
|
|
y = full(X - reshape(Y.basis(:,1),Y.dim(1),Y.dim(2)));
|
|
catch
|
|
error(lasterr);
|
|
end
|
|
return
|
|
end
|
|
|
|
y = Y;
|
|
n_Y = Y.dim(1);
|
|
m_Y = Y.dim(2);
|
|
[n_X,m_X] = size(X);
|
|
x_isscalar = (n_X*m_X==1);
|
|
y_isscalar = (n_Y*m_Y==1);
|
|
any_scalar = x_isscalar | y_isscalar;
|
|
|
|
if x_isscalar && y_isscalar
|
|
tmp = y.basis(1)+X;
|
|
if (isequal(class(tmp),'gem') || isequal(class(tmp),'sgem')) && ~isequal(class(y.basis), class(tmp))
|
|
y.basis = gemify(y.basis);
|
|
end
|
|
y.basis(1) = tmp;
|
|
% Reset info about conic terms
|
|
y.conicinfo = [0 0];
|
|
y.extra.opname='';
|
|
y.extra.createTime = definecreationtime;
|
|
y = addfactors(y,X,Y);
|
|
return
|
|
end
|
|
|
|
if any_scalar || all([n_Y m_Y]==[n_X m_X])
|
|
if y_isscalar
|
|
y.basis = repmat(y.basis,n_X*m_X,1);
|
|
y.dim(1) = n_X;
|
|
y.dim(2) = m_X;
|
|
end
|
|
tmp = y.basis(:,1)+X(:);
|
|
if (isequal(class(tmp),'gem') || isequal(class(tmp),'sgem')) && ~isequal(class(y.basis), class(tmp))
|
|
y.basis = gemify(y.basis);
|
|
end
|
|
y.basis(:,1) = tmp;
|
|
else
|
|
error('Matrix dimensions must agree.');
|
|
end
|
|
% Reset info about conic terms
|
|
y.conicinfo = [0 0];
|
|
y.extra.opname='';
|
|
y = addfactors(y,X,Y);
|
|
case 2
|
|
|
|
if isempty(Y)
|
|
try
|
|
y = full(reshape(X.basis(:,1),X.dim(1),X.dim(2))-Y);
|
|
catch
|
|
error(lasterr);
|
|
end
|
|
return
|
|
end
|
|
|
|
y = X;
|
|
n_X = X.dim(1);
|
|
m_X = X.dim(2);
|
|
[n_Y,m_Y] = size(Y);
|
|
x_isscalar = (n_X*m_X==1);
|
|
y_isscalar = (n_Y*m_Y==1);
|
|
any_scalar = x_isscalar | y_isscalar;
|
|
|
|
% Special special case...
|
|
if x_isscalar && y_isscalar
|
|
tmp = y.basis(1)+Y;
|
|
if (isequal(class(tmp),'gem') || isequal(class(tmp),'sgem')) && ~isequal(class(y.basis), class(tmp))
|
|
y.basis = gemify(y.basis);
|
|
end
|
|
y.basis(1) = tmp;
|
|
% Reset info about conic terms
|
|
y.conicinfo = [0 0];
|
|
y.extra.opname='';
|
|
y.extra.createTime = definecreationtime;
|
|
y = addfactors(y,X,Y);
|
|
return
|
|
end
|
|
|
|
if any_scalar || all(([n_Y m_Y]==[n_X m_X]))
|
|
if x_isscalar
|
|
y.basis = repmat(y.basis,n_Y*m_Y,1);
|
|
y.dim(1) = n_Y;
|
|
y.dim(2) = m_Y;
|
|
end
|
|
tmp = y.basis(:,1)+Y(:);
|
|
if (isequal(class(tmp),'gem') || isequal(class(tmp),'sgem')) && ~isequal(class(y.basis), class(tmp))
|
|
y.basis = gemify(y.basis);
|
|
end
|
|
y.basis(:,1) = tmp;
|
|
else
|
|
error('Matrix dimensions must agree.');
|
|
end
|
|
% Reset info about conic terms
|
|
y.conicinfo = [0 0];
|
|
y.extra.opname='';
|
|
y.extra.createTime = definecreationtime;
|
|
y = addfactors(y,X,Y);
|
|
|
|
case 3
|
|
|
|
n_X = X.dim(1);
|
|
m_X = X.dim(2);
|
|
n_Y = Y.dim(1);
|
|
m_Y = Y.dim(2);
|
|
x_isscalar = (n_X*m_X==1);
|
|
y_isscalar = (n_Y*m_Y==1);
|
|
any_scalar = x_isscalar | y_isscalar;
|
|
|
|
if (~((n_X==n_Y) && (m_X==m_Y))) && ~any_scalar
|
|
error('Matrix dimensions must agree.')
|
|
end
|
|
|
|
if isequal(X.lmi_variables,Y.lmi_variables)
|
|
all_lmi_variables = X.lmi_variables;
|
|
in_X_logical = ones(1,length(all_lmi_variables));
|
|
in_Y_logical = ones(1,length(all_lmi_variables));
|
|
else
|
|
if X.lmi_variables(end) < Y.lmi_variables(1)
|
|
all_lmi_variables = [X.lmi_variables Y.lmi_variables];
|
|
in_X_logical = [ones(1,length(X.lmi_variables)) zeros(1,length(Y.lmi_variables))];
|
|
in_Y_logical = [zeros(1,length(X.lmi_variables)) ones(1,length(Y.lmi_variables))];
|
|
elseif X.lmi_variables(1) > Y.lmi_variables(end)
|
|
all_lmi_variables = [Y.lmi_variables X.lmi_variables];
|
|
in_X_logical = [zeros(1,length(Y.lmi_variables)) ones(1,length(X.lmi_variables))];
|
|
in_Y_logical = [ones(1,length(Y.lmi_variables)) zeros(1,length(X.lmi_variables))];
|
|
else
|
|
all_lmi_variables = uniquestripped([X.lmi_variables Y.lmi_variables]);
|
|
in_X_logical = ismembcYALMIP(all_lmi_variables,X.lmi_variables);
|
|
in_Y_logical = ismembcYALMIP(all_lmi_variables,Y.lmi_variables);
|
|
end
|
|
end
|
|
y = X;
|
|
y.lmi_variables = all_lmi_variables;
|
|
|
|
% ismembc faster (buggy?)
|
|
in_X = find(in_X_logical);
|
|
in_Y = find(in_Y_logical);
|
|
|
|
if isequal(X.lmi_variables,Y.lmi_variables) && n_Y==n_X && m_Y==m_X
|
|
y.basis = y.basis + Y.basis;
|
|
if length(X.lmi_variables)==1
|
|
if all(y.basis(:,2)==0)
|
|
y = reshape(full(y.basis(:,1)),n_X,m_X);
|
|
else
|
|
% Reset info about conic terms
|
|
y.conicinfo = [0 0];
|
|
y.extra.opname='';
|
|
y = addfactors(y,X,Y);
|
|
end
|
|
return
|
|
end
|
|
else
|
|
if 1
|
|
if max(X.lmi_variables) < min(Y.lmi_variables) && n_Y==n_X && m_Y==m_X
|
|
% special case to speed up Lundback's code massivly
|
|
% Addition of expressions sharing no variables, with
|
|
% variables in specific sorted order
|
|
basis = [y.basis Y.basis];
|
|
basis(:,1) = basis(:,1) + Y.basis(:,1);
|
|
basis(:,size(y.basis,2)+1) = [];
|
|
y.basis = basis;
|
|
y.conicinfo = [0 0];
|
|
y.extra.opname='';
|
|
y = addfactors(y,X,Y);
|
|
return
|
|
else
|
|
% [ix,jx,sx] = find(y.basis);y.basis = [];
|
|
% [iy,jy,sy] = find(Y.basis);%Y.basis = [];
|
|
mapX = [1 1+in_X];
|
|
mapY = [1 1+in_Y];
|
|
% basis_X = sparse(ix,mapX(jx),sx,n_X*m_X,1+length(all_lmi_variables));ix=[];jx=[];sx=[];
|
|
% basis_Y = sparse(iy,mapY(jy),sy,n_Y*m_Y,1+length(all_lmi_variables));iy=[];jy=[];sy=[];
|
|
basis_X = X.basis*(sparse(1:length(mapX),mapX,1,size(X.basis,2),length(all_lmi_variables)+1));
|
|
basis_Y = Y.basis*(sparse(1:length(mapY),mapY,1,size(Y.basis,2),length(all_lmi_variables)+1));
|
|
end
|
|
else
|
|
% MATLAB sparse fails on this for huge problems at a certain size
|
|
basis_X = spalloc(n_X*m_X,1+length(all_lmi_variables),nnz(X.basis));
|
|
basis_Y = spalloc(n_Y*m_Y,1+length(all_lmi_variables),nnz(Y.basis));
|
|
basis_X(:,[1 1+in_X])=y.basis;y.basis = [];
|
|
basis_Y(:,[1 1+in_Y])=Y.basis;%Y.basis = [];
|
|
end
|
|
|
|
% Fix addition of matrix+scalar
|
|
if n_X*m_X<n_Y*m_Y
|
|
y.dim(1) = n_Y;
|
|
y.dim(2) = m_Y;
|
|
basis_X = repmat(basis_X,n_Y*m_Y,1);
|
|
end
|
|
if n_Y*m_Y<n_X*m_X
|
|
y.dim(1) = n_X;
|
|
y.dim(2) = m_X;
|
|
y.basis = basis_X;basis_X = [];
|
|
try
|
|
y.basis = bsxfun(@plus,y.basis,basis_Y);basis_Y = [];
|
|
catch
|
|
basis_Y = repmat(basis_Y,n_X*m_X,1);
|
|
y.basis = y.basis + basis_Y;basis_Y = [];
|
|
end
|
|
else
|
|
% OK, solution is...
|
|
y.basis = basis_X;basis_X = [];
|
|
y.basis = y.basis+basis_Y;basis_Y = [];
|
|
end
|
|
end
|
|
% Reset info about conic terms
|
|
y.conicinfo = [0 0];
|
|
y.extra.opname='';
|
|
y.extra.createTime = definecreationtime;
|
|
y = addfactors(y,X,Y);
|
|
if nnz(in_X_logical & in_Y_logical)>0
|
|
y = clean(y);
|
|
end
|
|
|
|
otherwise
|
|
end
|
|
|
|
|