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Changed back to use vector in stead of sparse matrix to save memory
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tristan van Leeuwen
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Oct 25, 2015
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,105 +1,115 @@ | ||
| classdef opDiag < opSpot | ||
| %OPDIAG Diagonal operator. | ||
| % | ||
| % opDiag(D) creates an operator for multiplication by the | ||
| % diagonal matrix that has a vector D on its diagonal. | ||
| % | ||
| % See also diag. | ||
|
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||
| % Copyright 2009, Ewout van den Berg and Michael P. Friedlander | ||
| % See the file COPYING.txt for full copyright information. | ||
| % Use the command 'spot.gpl' to locate this file. | ||
|
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||
| % http://www.cs.ubc.ca/labs/scl/spot | ||
|
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| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % Properties | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| properties( SetAccess = private ) | ||
| diag % Diagonal entries | ||
| end | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % Methods - Public | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| methods | ||
|
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| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % opDiag. Constructor | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function op = opDiag(d) | ||
| if nargin ~= 1 | ||
| error('Invalid number of arguments.'); | ||
| end | ||
|
|
||
| % Vectorize d and get size | ||
| d = d(:); | ||
| n = length(d); | ||
|
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||
| % Construct operator | ||
| op = op@opSpot('Diag',n,n); | ||
| op.cflag = ~isreal(d); | ||
| op.diag = spdiags(d,0,n,n); | ||
| op.sweepflag = true; | ||
| end % function opDiag | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % double | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function A = double(op) | ||
| A = full(op.diag); | ||
| end | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % transpose | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function opOut = transpose(op) | ||
| opOut = op; | ||
| end | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % conj | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function opOut = conj(op) | ||
| opOut = opDiag(conj(spdiags(op.diag))); | ||
| end | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % ctranpose | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function opOut = ctranspose(op) | ||
| opOut = opDiag(conj(spdiags(op.diag))); | ||
| end | ||
|
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||
| end % methods - public | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % Methods - protected | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| methods( Access = protected ) | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % multiply | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function y = multiply(op,x,mode) | ||
| if mode == 1 | ||
| y = op.diag*x; | ||
| else | ||
| y = op.diag'*x; | ||
| end | ||
| end % function multiply | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % divide | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function x = divide(op,b,mode) | ||
| if mode == 1 | ||
| x = op.diag\b; | ||
| else | ||
| x = op.diag'\b; | ||
| end | ||
| end % function divide | ||
|
|
||
| end % methods - protected | ||
|
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||
| %OPDIAG Diagonal operator. | ||
| % | ||
| % opDiag(D) creates an operator for multiplication by the | ||
| % diagonal matrix that has a vector D on its diagonal. | ||
| % | ||
| % See also diag. | ||
|
|
||
| % Copyright 2009, Ewout van den Berg and Michael P. Friedlander | ||
| % See the file COPYING.txt for full copyright information. | ||
| % Use the command 'spot.gpl' to locate this file. | ||
|
|
||
| % http://www.cs.ubc.ca/labs/scl/spot | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % Properties | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| properties( SetAccess = private ) | ||
| diag % Diagonal entries | ||
| end | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % Methods - Public | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| methods | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % opDiag. Constructor | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function op = opDiag(d) | ||
| if nargin ~= 1 | ||
| error('Invalid number of arguments.'); | ||
| end | ||
|
|
||
| % Vectorize d and get size | ||
| d = d(:); | ||
| n = length(d); | ||
|
|
||
| % Construct operator | ||
| op = op@opSpot('Diag',n,n); | ||
| op.cflag = ~isreal(d); | ||
| op.diag = d(:); | ||
| op.sweepflag = true; | ||
| end % function opDiag | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % double | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function A = double(op) | ||
| A = diag(op.diag); | ||
| end | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % transpose | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function opOut = transpose(op) | ||
| opOut = op; | ||
| end | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % conj | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function opOut = conj(op) | ||
| opOut = opDiag(conj(op.diag)); | ||
| end | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % ctranpose | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function opOut = ctranspose(op) | ||
| opOut = opDiag(conj(op.diag)); | ||
| end | ||
|
|
||
| end % methods - public | ||
|
|
||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % Methods - protected | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| methods( Access = protected ) | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % multiply | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function y = multiply(op,x,mode) | ||
| y = zeros(op.n,size(x,2)); | ||
| if mode == 1 | ||
| for k = 1:size(x,2) % for sweepflag, can also be achieved with bsxfun, but that seems slower | ||
| y(:,k) = op.diag.*x(:,k); | ||
| end | ||
| else | ||
| for k = 1:size(x,2) % for sweepflag, can also be achieved with bsxfun, but that seems slower | ||
| y(:,k) = conj(op.diag).*x(:,k); | ||
| end | ||
| end | ||
| end % function multiply | ||
|
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||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| % divide | ||
| %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% | ||
| function x = divide(op,b,mode) | ||
| x = zeros(op.n,size(b,2)); | ||
| if mode == 1 | ||
| for k = 1:size(x,2) % for sweepflag, can also be achieved with bsxfun, but that seems slower | ||
| x(:,k) = b(:,k)./op.diag; | ||
| end | ||
| else | ||
| for k = 1:size(x,2) % for sweepflag, can also be achieved with bsxfun, but that seems slower | ||
| x = b(:,k)./conj(op.diag); | ||
| end | ||
| end | ||
| end % function divide | ||
|
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||
| end % methods - protected | ||
|
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| end % classdef |