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Dynamic partitioning for array languages

Published: 01 December 1972 Publication History
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  • Abstract

    The classical process of partitioning an array into subarrays is extended to a more useful array language operation. Various modes of partitioning are defined for different types of arrays, so that subarrays may vary over the original array in a nearly arbitrary manner. These definitions are motivated with several realistic examples to illustrate the value of partitioning for array languages.
    Of general interest is the data structure for partitioning. This consists of dynamic tree structures which are used to derive and maintain the array control information. These are described in sufficient detail to be of value in the design of other array languages. The description presented in this paper is implemented in a new array language, OL/2, currently under development at the University of Illinois.

    References

    [1]
    Adams, H.C. Dynamic partitioning in the array language OL/2. DCL Report No. 421, Dept. of Comput. Sci., U. of Illinois at Urbana-Champaign, Urbana, Ill., Jan. 1971.
    [2]
    Bayer, R., and Witzgall, C. Some complete calculi for matrices. Comm. ACM 13, 4 (Apr. 1970), 223-237.
    [3]
    Cohen, S., and Vincent, C.M. An introduction to SPEAK- EASY. Report PHY-1968E, Argonne Nat. Lab., Argonne, Ill., Dec. 1968.
    [4]
    Dantzig, G.B., et al. MPL mathematical programming language specification manual for committee review. STAN-CS- 70-187, Comput. Sci. Dept., Stanford U., Stanford, Calif., Nov. 1970.
    [5]
    Iverson, K.E. A Programming Language. Wiley, New York, 1962.
    [6]
    Phillips, J.R. The structure and design philosophy of OL/2-- an array language. Part II: Algorithms for dynamic partitioning. DCL Report No. UIUCDCS-R-71-420, Dept. of Comput. Sci., U. of Illinois at Urbana-Champaign, Urbana, I11. 1971.

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    cover image Communications of the ACM
    Communications of the ACM  Volume 15, Issue 12
    Dec. 1972
    117 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/361598
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 December 1972
    Published in CACM Volume 15, Issue 12

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    Author Tags

    1. array control blocks
    2. array language
    3. array partitioning
    4. data structure
    5. dynamic partitioning
    6. partition control blocks
    7. programming language design
    8. tree structure

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