Loop Transformations for Restructuring Compilers

The Foundations
1993
ISBN: 978-0-7923-9318-4
Verlag: Springer US

Buch, Englisch, 305 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1410 g

Automatic transformation of a sequential program into a parallel form is a subject that presents a great intellectual challenge and promises great practical rewards. There is a tremendous investment in existing sequential programs, and scientists and engineers continue to write their application programs in sequential languages (primarily in Fortran),but the demand for increasing speed is constant. The job of a restructuring compiler is to discover the dependence structure of a given program and transform the program in a way that is consistent with both that dependence structure and the characteristics of the given machine. Much attention in this field of research has been focused on the Fortran loop. This is where one expects to find major chunks of computation that need to be performed repeatedly for different values of the index variable. Many loop transformations have been designed over the years, and several of them can be found in any parallelizing compiler currently in use in industry or at a university research facility.
provides a rigorous theory of loop transformations. The transformations are developed in a consistent mathematical framework using objects like directed graphs, matrices and linear equations. The algorithms that implement the transformations can then be precisely described in terms of certain abstract mathematical algorithms. The book provides the general mathematical background needed for loop transformations (including those basic mathematical algorithms), discusses data dependence, and introduces the major transformations. The next volume will build a detailed theory of loop transformations based on the material developed here.
presents a theory of loop transformations that is rigorous and yet reader-friendly.

Zielgruppe

Research

Autoren/Hrsg.

Banerjee, Utpal

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Rechnerarchitektur
• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein
• Mathematik | Informatik EDV | Informatik Technische Informatik Hochleistungsrechnen, Supercomputer

Inhaltsverzeichnis

Mathematical Backgroud.- Relations and Digraphs.- Unimodular Matrices.- Linear Equations and Inequalities.- Data Dependence.- Basic Concepts.- Linear Dependence Problem.- Loop Transformations.- to Loop Transformations.