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Can any one write 3 D array RMO and CMO formula?

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2 Answers

2 2 votes
If  int A[l][m][n] denotes any array where  l= number of rows ,m =number of columns,n=number of planes then we can find address of any location A[i][j][k] by using row major formulas as follows

Add(A[i][j][k])=Base Address+(i*m*n+j*n+k)*w where w is the size occupied by each word or integer

column major

Add(A[i][j][k])=Base address +(k*l*m+j*l+i)*w
1 1 vote


Let A[L, M, N] be the 3D array given, 'S' be the size of each element, 'B' denote the Base Address of the 3D array then, the offset of an element A[i, j, k] is given as:

RMO: (i*M*N + j*N + k) * S + B

CMO: (i*M*N + j + k*M) * S + B

Here,

  • " i*M*N " is done to traverse through all the frames to reach the i'th frame (i.e. we travel through all the 2D arrays to reach the required 2D array).

  • Remaining part is simply either RMO or CMO as in a 2D array of size A[M][N]

If array indices start from 1 then, the formula becomes:

RMO: ((i-1)*M*N + (j-1)*N + (k-1)) * S + B

CMO: ((i-1)*M*N + (j-1) + (k-1)*M) * S + B

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