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D i a m o n d : a sorting m e t h o d for vector m a c h i n e s , BIT 2 1 , 1 4 2 - 1 5 2 . Carey, M . , H a n s e n , P. M . , a n d T h o m p s o n , C. D . (1982). R E S S T : A V L S I i m p l e m e n t a t i o n of a r e c o r d - s o r t i n g stack, Tech. R e p . N o . U C B / C S D 82/102, C o m p u t e r Science Divi­ sion, U n i v e r s i t y of California, Berkeley, California, April 1982. 38 2 NETWORKS FOR SORTING C h e n , T. C , E s w a r a n , K . , L u m , V. Y , a n d Tung, C.

2) After the i n p u t goes t h r o u g h t h e first r a n k of c o m p a r a t o r s , t w o bitonic sequences each of length 4 are p r o d u c e d . Each of these is t h e n fed into a Bitonic Merger for sequences of length 4 (the c o m p a r a t o r s in c o l u m n s 2 a n d 3). This results in a single bitonic sequence of length 8, which is n o w sorted using a Bitonic Merger for sequences of length 8 (the c o m p a r a t o r s in c o l u m n s 4, 5, a n d 6). Analysis T h e total n u m b e r of CEs a n d of parallel m sequence of length n, where n = 2 for s o m e Bitonic Sort, is obtained as follows.

1-9. , a n d R e m , M . (1982). A serial sorting m a c h i n e , Comput. Electr. Engrg. 9 (1), 53-58. Batcher, K . E. (1968). S o r t i n g n e t w o r k s a n d t h e i r applications, Proc. AFIPS 1968 Spring Joint Comput. Conf, Atlantic City, New Jersey, April 30-May 2, 1968, p p . 3 0 7 - 3 1 4 . , a n d S t e v e n s o n , D . (1978). O p t i m a l sorting a l g o r i t h m s for parallel c o m p u t e r s , IEEE Trans. Comput. C - 2 7 (1), 8 4 - 8 7 . Brock, H . , B r o o k s , B. , a n d Sullivan, E (1981).

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