Multidimensional arrays can be stored in row major order or in column major order. The access...
Multidimensional arrays can be stored in row major order or in column major order. The access function computes the address of an element in the array. What are the access functions for both of these arrangements for 3-D arrays? Assume the name of the array is A, EACH ARRAY INDEX STARTS AT INDEX 0. The number of rows is r, the number of columns is c, and the access function computes the address of the element A[i][j][k].
row major order: address (A[i, j, k]) =
column major order: address (A[i, j, k]) =
Homework Answers
ROW MAJOR
The address of A[i][j][k] = BA + width * {[(k - k0) * R
* C] + [(i - i0) * C] + (j - j0)]}
where,
i0 is starting row index
i is the current row index
j0 is the starting column index
j is the current column index
k0 is the starting frame
k is the current frame
R is the total number of rows
C is the total number of columns
width is the size of each element
BA is the bases address of the array
COLUMN MAJOR
The address of A[i][j][k] = BA + width * {[(k - k0) * R
* C] + [(j - j0) * R] + (i - i0)]}
where,
i0 is starting row index
i is the current row index
j0 is the starting column index
j is the current column index
k0 is the starting frame
k is the current frame
R is the total number of rows
C is the total number of columns
width is the size of each element
BA is the bases address of the array
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