Translate/Rotate submatrix

I have a 512x512x100 matrix A which contains a 100x100x20 submatrix S. I want to translate (and rotate) S. In few words, the final result must be a 512x512x100 matrix containing S, but in a different position (and if possible, rotated). How can I do that?

[Stephen23]

• Translation: perhaps using indexing, or interpolation. What happens to the elements where the subarray used to be: do they keep their values, or get new values?
• Rotation: by multiples of 90 degrees, or by any arbitrary angle?

[Friend]

• They get new values (zeros)
• If possible, any arbitrary angle

PS: the only non-zero values contained in A, are inside S.

[Stephen23]

• Translation: depending on your requirements you could use indexing, or circshift. What happens if the new subarray position lies across/outside the array dimensions?
• Rotation of a array by an arbitrary angle is not clearly defined:

https://www.mathworks.com/matlabcentral/answers/288017-how-to-rotate-a-matrix-n-n-around-the-n-2-n-2-point

[Friend]

• It's true, I solved the translation problem through simple indexing.
• I had a feeling that rotating by an arbitrary angle wouldn't be possible. I'll try with 90° rotations. thanks