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SORTING NETWORKS Presented by: Vikram S. Choudhary, JECRC, Jodhpur.
Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Comparison Networks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Comparison Networks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],comparator
Comparison Networks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Comparison Networks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A B C D E
Comparison Networks ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A B C D E 5 9 2 6 2 6 5 9
Comparison Networks ,[object Object],[object Object],[object Object],[object Object],[object Object]
Zero-One Principle ,[object Object],[object Object]
Zero-One Principle ,[object Object],[object Object],[object Object],[object Object],[object Object]
Zero-One Principle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Zero-One Principle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A B C D E 3 5 1 3 1 3 3 5
Zero-One Principle ,[object Object],[object Object]
Zero-One Principle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Zero-One Principle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object]
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object]
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object],0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 top top top top bottom bottom bottom bottom bitonic  clean bitonic  clean bitonic bitonic
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object],0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 top top top top bottom bottom bottom bottom bitonic  clean bitonic  clean bitonic bitonic 0 1 1 1 1 1 1 1
Bitonic Sorting Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bitonic Sorting Network ,[object Object],Half-Cleaner[n] Bitonic- Sorter[n/2] Bitonic- Sorter[n/2]
Bitonic Sorting Network ,[object Object],0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 bitonic sorted
Bitonic Sorting Network ,[object Object],[object Object]
A Merging Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A Merging Network ,[object Object],[object Object],[object Object],[object Object]
A Merging Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A Merging Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A Merging Network ,[object Object],[object Object],[object Object],[object Object],[object Object]
A Merging Network ,[object Object]
A Merging Network Bitonic- Sorter[n/2] Bitonic- Sorter[n/2]
A Merging Network 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 sorted sorted sorted
A Merging Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A Sorting Network ,[object Object],[object Object]
A Sorting Network Sorter[n/2] Sorter[n/2] Merger[n]
A Sorting Network Merger[4] Merger[4] Merger[8] Merger[2] Merger[2] Merger[2] Merger[2]
A Sorting Network 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 depth 2 2 3 4 4 4 4 5 5 6
A Sorting Network
Conclusion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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