vectorizing four nested for loops

If I have a one-dimensional array A of size n and I need to create a new two-dimensional array R from the elements of array A, I can do it using two nested loops:
for i = 1:n
for j = 1:n
R(i,j) = A(i) + A(j);
end
end
Or I can use vectorization:
[i, j]=ndgrid(1:n);
R = A(i)+A(j);
If array A becomes a n by n matrix and I need to create a four dimensional array R I can still use nested loops:
for i = 1:n
for j = 1:n
for k = 1:n
for l = 1:n
r(i,j, k, l) = a(i, j) + a(k, l);
end
end
end
end
Is there a way to replace these four nested loops and use vectorization? Thanks for your help!

 采纳的回答

Try this:
[i,j] = ndgrid(1:n*n);
r = reshape(a(i)+a(j), [n n n n]);

4 个评论

Thanks a lot for your help, Geoff. Would it be possible to modify your code to accommodate a slightly different manipulation with the matrices in the nested loop:
r(i,j,k,l)=a(i,j)+a(k,l)+a(i+k,j+l) for all i+k<=n and j+l<=n
Thanks!
Awwwk!! Um, I dunno. You're talking about chucking in some kind of triangular term. I have trouble thinking about that in 4 dimensions. Remember that brevity should not always be chosen over clarity.
Yeah, I shouldn't have simplified the problem in the first place. That's my bad. Thanks for your help anyway!

请先登录,再进行评论。

更多回答(1 个)

类别

帮助中心File Exchange 中查找有关 Loops and Conditional Statements 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by