Write n-nested for loops that generate and print the indices of each location of an n-dimensional array in FORTRAN, in the order that they are allocated in memory. N-Nested Loops to Print Indices of an N-Dimensional Array in FORTRAN

Fortran N-Nested Loops: Printing Indices for an N-Dimensional array in FORTRAN 

An n-nested loop is a suitable technique to generate the FORTRAN indices for each place in an n dimensional array. This method follows FORTRAN indexing conventions, where elements within the same column are assigned to successive memory locations.   For the first time, the outer loop will iterate for n times. The array dimension is n. The inner loop ensures each element is indexed from the bottom up. The code is outlined below:   do i=1, n ! Outer loop   do j=n, 1,-1 ! Innermost loop      x(i,j) = … ! Print the indices of x in column-major order   end do end do  The indexing process is further optimized through techniques such as loop unrolling and tiling (Rakhmanova et al. 2021). This improves data availability, lowers the overhead cost, and decreases the requirements for memory bandwidth.  Feng, H. (2015). Performance Analysis in FORTRAN of Column-Major data layouts ACM Transactions on Programming Languages and Systems, 37(4), 1–20.Cont…

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