How to efficiently generate a new array by indexing an array with another array

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Is there a faster way to implement this loop, maybe vectorizing it?
for j = 1:m
C(:,j) = B(A(:,j,k),j);
A is a l x m x n 3-D array of int from 1 to 4
B is a p x m 2-D array of doubles
C is a l x m 2-D array of doubles
l = order of 1000 ; m = order of 10 ; n = order of 100 ; p = 4

Accepted Answer

Walter Roberson
Walter Roberson on 3 Jan 2017
L = l; %make it easier to distinguish lower-case L
C = B(sub2ind(size(B), A(:,:,k), repmat( 1:m, L, 1) ));
Walter Roberson
Walter Roberson on 4 Jan 2017
Yes, that is a good idea, to move that computation outside the loop.
If you have R2016b or later it can be improved even more:
C = B( (A(:,:,k) - 1) * p + (1:m) )
and the 1:m could be assigned to a variable before the loop

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