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In this project, you are asked to write two independent programs, thr _atomic.c and thr reduce. c, each of which uses m computational threads to

In this project, you are asked to write two independent programs, thr _atomic.c and thr reduce. c, each of which uses m computational threads to concurrently calculate the sum of quadruple roots from 1 to n, where m and n are powers of 2 and are specified in the command line. For the program thr_atomic.c, it gets the values m and n from the command line arguments and converts them to two integers, respectively. Next, it creates m threads using pthread_create () and each thread computes the sum of n/m quadruple roots. Namely, the first thread (i.e. thread 0) computes the sum of quadruple roots from 1 to n/m, the second thread (i.e. thread 1) computes the sum of the quadruple roots from n/ m + 1 to 2n /m, etc. When a thread finishes its computation, it should print its partial sum and atomically add it to a shared global variable. Finally, your program uses pthread-join() to let the main thread know that all of the m computational threads have done the atomic additions and then it can print the final result. Below is an example of running your thread program: bach> ./thr_atomic 2 65536 thr 0: 352703.926537 thr 1: 486164.553017 sum of quadruple roots: 838868.479554 The program thr reduce.c is similar to thr_atomic. c except that you need to use the parallel reduction approach to combine the partial sums. That is, your program uses a shared global array and each computational thread stores its partial sum, but not prints, in an array element indexed on its thread ID. Then, half of these threads call pthread_join () to wait for their corresponding partner threads completion, and then each of these threads can add two numbers in the array together. This reduction procedure will be performed log,m times and each time the number of the active threads will be reduced half. Finally, there will be only one active thread and this thread should print the whole array. For example, assume that there are 8 computational threads. In the first reduction step, in order to add two elements in the array, thread 1 should wait for thread 0 done, thread 3 has to wait for thread 2 done, threads 5 needs to wait for thread 4 done, and thread 7 should wait for thread 6 done. In the second reduction step, thread 3 waits for thread 1 finished, and thread 7 waits for thread 5 finished. In the third step, thread 7 waits for thread 3 done and then prints the the whole array. Hint: to find its partner thread ID during the ith reduction step, a thread can use its ID XORed with 2-1. Furthermore, you have to use bit-shift operations instead of calling log ) or pow functions to find the partner thread ID. Note that the main thread just calls thread_exit () after creating m threads. It does not need to wait for these threads finished. Calling thread_exit () in the main thread will allow other threads to continue execution.

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