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EXPAND

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EXPAND

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23 Jun 2009 (Updated )

Replicate and tile each element of an array.

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Description

EXPAND(A,SZ), for array A and vector SZ replicates each element of A by SZ. The results are tiled into an array in the same order as the elements of A, so that the result is size: size(A).*SZ.

Therefore the number of elements of SZ must equal the number of dimensions of A, or in MATLAB syntax:

length(size(A))==length(SZ)

must be true.
The result will have the same number of dimensions as does A.
There is no restriction on the number of dimensions for input A.

Examples:

>> A = [1 2;3 4]
A =
     1 2
     3 4
>> expand(A,[2 1])
ans =
     1 2
     1 2
     3 4
     3 4
>> expand(A,[2 2])
ans =
     1 1 2 2
     1 1 2 2
     3 3 4 4
     3 3 4 4

Please email me if bugs are found in the code. Thanks.

Acknowledgements

Replicate inspired this file.

MATLAB release MATLAB 7.4 (R2007a)
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Comments and Ratings (5)
13 Jul 2013 Yair Altman

Now that R2013b has finally incorporated Bruno's efficient implementation (FEX 24499) into the built-in KRON function, I expect the balance of performance and memory to shift in favor of KRON. Of course, expand will continue to be better for anyone still using R2013a or earlier.

For additional alternative implementations, see http://www.mathworks.com/matlabcentral/newsreader/view_thread/326075

24 Jun 2009 Matt Fig

Another reason I bypassed kron is illustrated here:

http://i217.photobucket.com/albums/cc229/spamanon/tester_output-2.png

Urs, I think you are correct about mentioning kron in the see also.

24 Jun 2009 us

just like jos, i also felt at first that this - admittedly sleek engine - was more or less a KRON clone; but then your timing convinced me that there was clearly more to it...
however, i think you should at least mention KRON in a
see also:
statement...
us

24 Jun 2009 Matt Fig

Hello Jos,

There are a couple of reasons I bypassed kron. The main reason is that expand, even with error checking etc., is faster on my machine(s):

A = reshape(randperm(24),6,4);
SZ = [300,400];
tic
T = expand(A,SZ);
toc %Elapsed time is 0.043622 seconds.
tic
T2 = kron(A,ones(SZ));
toc %Elapsed time is 0.082535 seconds.

For
A = reshape(randperm(144),18,8);
SZ = [300,400];
expand is .25 vs. .78 seconds for kron. 2007b win xp.

expand also works for your second example.
Thanks.

24 Jun 2009 Jos (10584)

Why not simply
kron(A,eyes(SZ))

or, for non-numerical arrays,
X = {'a' 'b' ; [1:3] []}
X(kron(reshape(1:numel(X),size(X)), ones(2,3)))
%ans =
% 'a' 'a' 'a' 'b' 'b' 'b'
% 'a' 'a' 'a' 'b' 'b' 'b'
% [1x3 double] [1x3 double] [1x3 double] [] [] []
% [1x3 double] [1x3 double] [1x3 double] [] [] []

It can be expanded to the ND case using reshape etc ...

Good help though!

Updates
24 Jun 2009

Added kron to the see also list.

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