se C, C++, python or matlab to develop a program whose main routine accepts two parameters n and k, i.e. when you invoke your program from the shell, you pass it two parameters, n and k, where n >=16 and k >=3 and is in powers of 2 (e.g. 2, 4, 8, 16, etc.). Your main routine shall generate a random page trace of size n, where the page numbers have values ranging from 0 to ? − 1. Develop a subroutine within your program that implements the LRU page replacement algorithm (as a separate function within your program). Your algorithm shall use the doubly linked list stack implementation as outlined in slide 29 of lecture 10). The function shall accept a page trace and a parameter f for the number of frames allocated. Your main routine shall then apply the random page trace to the subroutine implementing the page replacement algorithm, multiple times (using only one trace, randomly generated), passing a parameter f (number of page frames used) that ranges from 4 to k. Your main routine shall then record the number of page faults for each run (i.e. for each f). Run your program using a page trace of length n=64, k=16 (thus f ranges from 4 to 16). Plot and submit a graph displaying the number of faults vs the number of frames allocated.

Use C, C++, python or matlab to develop a program whose main routine accepts two parameters n and k, i.e. when you invoke your program from the shell, you pass it two parameters, n and k, where n >=16 and k >=3 and is in powers of 2 (e.g. 2, 4, 8, 16, etc.). Your main routine shall generate a random page trace of size n, where the page numbers have values ranging from 0 to ? − 1.

Develop a subroutine within your program that implements the LRU page replacement algorithm (as a separate function within your program). Your algorithm shall use the doubly linked list stack implementation as outlined in slide 29 of lecture 10). The function shall accept a page trace and a parameter f for the number of frames allocated.

Your main routine shall then apply the random page trace to the subroutine implementing the page replacement algorithm, multiple times (using only one trace, randomly generated), passing a parameter f (number of page frames used) that ranges from 4 to k. Your main routine shall then record the number of page faults for each run (i.e. for each f).

Run your program using a page trace of length n=64, k=16 (thus f ranges from 4 to 16). Plot and submit a graph displaying the number of faults vs the number of frames allocated.

Can your outcome exhibit the Belady’s anomaly?

Notes:

• For debugging, you may use the page trace given in the lectures instead of randomly generating it (with n=20, k=8 and f=3) and verify you obtained the same results as in the lectures.

• You may output into a text file (e.g. a comma separated file) and then use excel to plot.