Check the flipped of 3D Array matrix

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Hello everyone,
I'm construct the multi dimensions 3D [X,Y,Z double] matrix.
Suppose I have
A = zeros(3,6,3);
A(:,:,1) = [1 2 3 3 2 1
2 2 3 3 2 2
3 3 4 4 3 3];
A(:,:,2) = [1 1 3 3 1 1
0 0 3 3 0 0
5 5 6 6 5 5];
A(:,:,3) = [0 0 3 3 0 0
1 1 3 3 1 1
5 5 1 1 5 5];
As we can see, along through Z-axis ( the center in column 1 to column 3 can be flipped as column 4 to 6
Do we have any way to check and return as logical value (0,1) to show this multidimension arrays are fliped or not.
Thanks in advances.
  2 Comments
Benjamin Thompson
Benjamin Thompson on 16 Feb 2022
Can you define what "flipped" means? You can review the contents of your matrix in MATLAB after creating it.
Trang Hu Jia
Trang Hu Jia on 16 Feb 2022
Thek you very much for replying this topic.
The "flipped" that I mean is in page 1 to 3 (in Z-axis)
Column 3 are exactly the same in column 4, Column 2 are exactly the same in column 5 and so on.
This matrix I can directly check it easily.
However, suppose I have larger matrix in X rows and Y columns, do we have any way to check it by logical ?
Thanks in advances.

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Accepted Answer

Jan
Jan on 16 Feb 2022
Edited: Jan on 16 Feb 2022
Do you mean:
isequal(A, flip(A, 2))
If A is huge (e.g. 1 GB), this operation is not efficient, because it duplicates the Array. If this is the bottleneck of you code, you could to the comparison in a C-mex function. This will be a little bit slower for small A (I estimate until 1000 elements), but much faster if e.g. the first element does not match already and the function can reply FALSE soon.
Do you need such a C-mex function?
  1 Comment
Trang Hu Jia
Trang Hu Jia on 17 Feb 2022
Dear @Jan
Thank you for your replying.
This help me a lot.
Thank you very much.

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