bitonicsort - Introduction to Parallel Computing George...

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Introduction to Parallel Computing George Karypis Sorting
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Outline Background Sorting Networks Quicksort Bucket-Sort & Sample-Sort
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Background Input Specification Each processor has n/p elements A ordering of the processors Output Specification Each processor will get n/p consecutive elements of the final sorted array. The “chunk” is determined by the processor ordering. Variations Unequal number of elements on output. In general, this is not a good idea and it may require a shift to obtain the equal size distribution.
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Basic Operation: Compare-Split Operation Single element per processor Multiple elements per processor
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Sorting Networks Sorting is one of the fundamental problems in Computer Science For a long time researchers have focused on the problem of “how fast can we sort n elements”? Serial nlog(n) lower-bound for comparison-based sorting Parallel O(1), O(log(n)), O(???) Sorting networks Custom-made hardware for sorting! Hardware & algorithm Mostly of theoretical interest but fun to study!
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Elements of Sorting Networks Key Idea: Perform many comparisons in parallel. Key Elements: Comparators: Consist of two-input, two-output wires Take two elements on the input
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