Question

Write an MPI program that implements the hypercube bitonic sort algorithm (see pages 392-393). The program should be tested using a sequence of 64 integers (from 1 to 64, initially not sorted) and 8 processes. The number of elements assigned to each process is 8.

Answer 1

The hypercube bitonic sort algorithm is a parallel sorting algorithm that can be implemented using MPI (Message Passing Interface) in distributed computing environments. Each process sorts its assigned portion of the sequence independently, and then the algorithm proceeds in log2(p) rounds, performing bitonic merge steps between neighboring processes.

Step-by-step explanation:

The hypercube bitonic sort algorithm is a parallel sorting algorithm that can be implemented using MPI (Message Passing Interface) and is commonly used in distributed computing environments. In this algorithm, each process is assigned a portion of the input sequence to sort. The algorithm then proceeds in a series of rounds, where each round involves comparing and exchanging elements in a specific pattern based on the hypercube topology.

For the given problem of sorting a sequence of 64 integers using 8 processes, with each process handling 8 elements, the first step is to distribute the initial sequence among the processes. Each process sorts its assigned portion of the sequence independently using a bitonic sort algorithm.

Once the initial sorting is complete, the hypercube bitonic sort algorithm is applied. The processes are arranged in a hypercube topology with each process connected to log2(p) neighbors. The algorithm then proceeds in log2(p) rounds, where in each round, each process compares and exchanges elements with a neighbor according to the bitonic merge step of the hypercube bitonic sort algorithm.