By Sherenaz W. Al-Haj Baddar
Designing Sorting Networks: a brand new Paradigm offers an in-depth advisor to maximizing the potency of sorting networks, and makes use of 0/1 instances, in part ordered units and Haase diagrams to heavily learn their habit in a simple, intuitive demeanour.
This e-book additionally outlines new principles and methods for designing quicker sorting networks utilizing Sortnet, and illustrates how those innovations have been used to layout speedier 12-key and 18-key sorting networks via a chain of case experiences.
Finally, it examines and explains the mysterious habit exhibited by means of the fastest-known 9-step 16-key community. Designing Sorting Networks: a brand new Paradigm is meant for advanced-level scholars, researchers and practitioners as a reference booklet. lecturers within the fields of computing device technology, engineering and arithmetic also will locate this publication invaluable.
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Additional info for Designing Sorting Networks: A New Paradigm
W. Al-Haj Baddar and K. E. 1007/978-1-4614-1851-1_6, Ó Springer Science+Business Media, LLC 2011 35 36 6 The Sortnet Program Fig. CE display of the five comparators of Fig. CE 0 1 2 3 0 2 1 3 1 2; will enter the five comparators of Fig. 1 into the CL. CE Display the comparators in the CL on the monitor with comments to indicate the step to which the listed comparators belong. For example, Fig. 1 shows the display if the CL contains the five comparators of Fig. 1. CE filename Write the comparators in the CL into the file called filename.
4 describes a strategy for designing fast sorting networks. In step (5) of that strategy the maximum number of strangers in each group must be found for each bracket case. CNTS, was added to the Sortnet program to perform this step. LST. CASES command to define the bracket cases. Defining b bracket cases defines b ? 1 groups. For an N-key network , if the bracket cases are the 0/1-cases with exactly: z1, z2, …, zb zeroes, then: • • • • • the first group contains keys K, K, …, K[z1-1]; the second group contains keys K[z1], K[z1 ?
7. CE command to restore the CL to that saved in step 2. 8. CE command to relabel all 61 comparators of the network according to the poset shown in step 5. References 1. Batcher KE, Al-Haj Baddar S (2008) Sortnet: a program for building faster sorting networks. Department of Computer Science, Kent State University, Kent, OH, USA, TR-KSU-CS-2008-01 2. Al-Haj Baddar S, Batcher KE (2009) Finding faster sorting networks using sortnet. , Germany 3. Cormen T, Leiserson C, Rivest R, Stein C (2001) Introduction to algorithms, 2nd edn.
Designing Sorting Networks: A New Paradigm by Sherenaz W. Al-Haj Baddar