Question: Assembly Language Write a program to transpose a matrix A with m rows and m columns. A matrix is transposed by mapping element a ij
Assembly Language
Write a program to transpose a matrix A with m rows and m columns. A matrix is transposed by mapping element aij for all values i and j. For example, consider a matrix with 4 rows and 4 columns. Its elements can be written as follows:
a0,0 a0,1 a0,2 a0,3
a1,0 a1,1 a1,2 a1,3
a2,0 a2,1 a2,2 a2,3
a3,0 a3,1 a3,2 a3,3
If the matrix is transposed so that aij = aji for all i and j, its elements will be reflected symmetrically about the diagonal composed of elements aij. The pseudo-code required to carry out this operation on a 4 by 4 matrix is given below:
short int matrix[4][4] = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16};
for(i = 0; i <= 2; i++){
for(j = i + 1; j <= 3; j++){
temp = matrix[i][j];
matrix[i][j] = matrix[j][i];
matrix[j][i] = temp;
}
}
Your implementation should be based on the pseudo-code above. You must employ indirect addressing with index when accessing the (8-bit) elements of the matrix (i.e. 2-dimensional array). In particular, A0 should point to the starting location of the matrix in memory and remain fixed. D0 and D1 should contain the value of the ndices i and j, respectively. The 8-bit displacement, in all cases, need not be used and can, therefore, be set to zero.
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