By Tridgell A.
This thesis provides effective algorithms for inner and exterior parallel sorting and distant information replace. The sorting algorithms method the matter through concentrating first on hugely effective yet fallacious algorithms by means of a cleanup section that completes the type. The distant facts replace set of rules, rsync, operates by means of changing block signature info by means of an easy hash seek set of rules for block matching at arbitrary byte barriers. The final bankruptcy of the thesis examines a couple of similar algorithms for textual content compression, differencing and incremental backup.
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Extra info for Efficient Algorithms for Sorting and Synchronization
At the end of each set of column or row sorts these sentinel elements are then gathered in one processor using a simple tree-based gathering algorithm. This processor then checks to see if the following two conditions are true to determine if the slice has completed: • the smallest element in the slice is larger than or equal to the largest element in all preceding slices; and • the largest element in each slice is smaller than or equal to the smallest element in each of the following slices. If these two conditions are true then all elements in the slice must be in their correct final positions.
In practice this means that most slices are completely sorted after just one column and row sort, and they can be ignored in the following operations. The algorithm also uses a dynamic allocation of processors to slices, allowing for an even distribution of work to processors as the number of unfinished slices decreases. The proof that the algorithm does indeed sort and the upper limit on the number of column and row sorts comes from the shearsort algorithm[Schnorr and Shamir 1986]. 4 Partitioning The external sorting algorithm starts off by partitioning the file to be sorted into a two dimensional grid of size k × k.
The external algorithm also makes very efficient use of the disk subsystem by using I/O operations that are of a size equal to the internal memory size of each of the processors. This makes an enormous difference to the practical efficiency of the algorithm. Chapter 3 The rsync algorithm This chapter describes the rsync algorithm, an algorithm for the efficient remote update of data over a high latency, low bandwidth link. Chapter four describes enhancements and optimizations to the basic algorithm, and chapter five describes some of the more interesting alternative uses for the ideas behind rsync that have arisen since the algorithm was developed.