Assumptions  There are p processors sorting n numbers.  Each processor begins with n=p numbers stored in the array x  All numbers are in the range 0 : : : M 􀀀 1  When the sorting algorithm ends, each processors has a sorted list of numbers and for i < j every number in processor i is less than every number in processor j  Each processor can compare two numbers and swap them (if necessary) in time .  Each machine can send data to one other machine at a time (but cannot send and receive at the same time)  It takes  + k= time to send k numbers to another machine  id species the identier of the current machine  Local sort of k elements takes time approximately Ck log2 k Programming assignment (Due 4/20) Write a short program to estimate  on the Linux Lab machines. (This requires no parallelism) Programming assignment (Due 4/20) Write a short program using MPI to estimate  and  in the Linux Lab.

sorting.pdf

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