Parallel Processing Research
Geometric Techniques for Parallelizing and
Scheduling Fortran Do-loops
In Proc. 7th Internationale Conference on Parallel and
Distribuited Computing Systems,
Las Vegas, October 1994
Author(s)
DonXing Tang,
Gopal Gupta
Abstract
To parallelize a DO-loop in a Fortran program,
the independence of various iterations of the DO-loop
has to be detected. Two commonly used tests to check for
iteration independence are the GCD and the
Banerjee test.
In this paper we introduce a new data dependence test
called the Diagonal test that is based on some very
simple geometric properties of straight lines and
hyper-planes. We show that the Diagonal
test is equivalent to Banerjee test. However, the Diagonal
test is more intuitive, especially for singly-nested loops.
The Diagonal test also inspires a new approach to
parallelizing DO-loops by repeatedly partitioning a loop into
smaller loops, and scheduling these smaller loops for parallel
execution based on the data-dependence analysis.
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