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CIS 610: Vector Models for Data-Parallel Computing

CIS 610: Vector Models for Data-Parallel Computing. Hank Childs, University of Oregon. Jan. 30 th , 2014. Class Organization. Who will lecture next week? Alternate ideas for organizing lectures?. Material for Today’s Lecture. A.K.A, “Data Parallel Bible” according to Chris Sewell.

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CIS 610: Vector Models for Data-Parallel Computing

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  1. CIS 610: Vector Models for Data-Parallel Computing Hank Childs, University of Oregon Jan. 30th, 2014

  2. Class Organization • Who will lecture next week? • Alternate ideas for organizing lectures?

  3. Material for Today’s Lecture A.K.A, “Data Parallel Bible” according to Chris Sewell Material & figures in this lecture almost uniformly come from this dissertation

  4. History Lesson via Google Scholar

  5. Machine Models • Machine models you likely know about • Random access machine (RAM) model • Turing machine model • This thesis defines a new model: parallel vector model • Defined in terms of machine architecture

  6. Parallel Vector Models

  7. Machine specifics • V-RAM = S-RAM + vector memory & vector processor • Each instruction of the vector processor operates on • Fixed number of vectors from the vector memory • Possibly scalars from scalar memory • Example vector instruction: sum the elements of two vectors

  8. Premise • Claim: parallel vector models are the right abstraction to connect theory, languages, and architecture • Specifically: • Can be mapped onto a broad variety of architectures • Can serve as algorithmic models to analyze complexity • Can serve as instruction sets for virtual machine for higher-level programming languages

  9. Complexity • Two main notions of complexity • Step complexity • # of steps executed by a program • Element complexity • Sum over all steps of the lengths of all vectors manipulated in each step • Important: all data-parallel primitives considered have to finish in O(log N) time for N elements.

  10. Complexity Example • Step #1: • Sum two vectors of size 10 • Step #2: • Square vector of length 100 What is Step Complexity? What is Element Complexity? 2 120

  11. Some New Vector Instructions…

  12. Scan Instruction

  13. Segmented Instructions It is a little fuzzy to me how to do this in practice…

  14. Quicksort

  15. Quicksort pseudo-code OK, let’s try to do quicksort.

  16. Rest of Book

  17. Rest of Book

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