Notation for reversed rows and/or columns of a matrix?

In this answer I am using a transformation of matrices, and I would like to know if there is a notation for this.

Given a matrix $$A$$, let $$B$$ be the same as $$A$$ with rows in reverse order, $$C$$ with the columns in reverse order, and $$D$$ with both rows and columns in reverse order. Is there a usual notation for any of $$B,C$$ or $$D$$ ?

The $$D$$ case has a nice property: if it's called $$f$$, then for any matrices $$A,B$$, $$f(AB)=f(A)f(B)$$.

I know one can write for instance $$B=A[n:1,:]$$ and it's not uncommon to see such MATLAB-like formulas in numerical analysis articles, but I wonder if there is a shorthand for this, or a usual name.

I don't know of anything like that in standard mathematical usage, but the APL programming language has operators $$C = ⌽A$$ and $$B = \ominus A$$.
Then your theorem is that $$⌽\ominus(XY) = (⌽\ominus X)(⌽\ominus Y)$$ or more briefly that $$⌽\ominus$$ is a homomorphism. (Clearly, $$⌽\ominus = \ominus⌽$$.)