Issue No. 09 - September (1979 vol. 28)
U. Banerjee , Department of Computer Science, University of Illinois
The main goal of this paper is to show that a large number of processors can be used effectively to speed up simple Fortran-like loops consisting of assignment statements. A practical method is given by which one can check whether or not a statement is dependent upon another. The dependence structure of the whole loop may be of different types. For each type, a set of time and processor upper bounds is given. We also show how a loop can sometimes be transformed to change its dependence structure. Finally, we give a result on the possible splitting up of a given recurrence system into a number of smaller subsystems. These results can be used to modify and sometimes improve the bounds for the loops as demanded by special circumstances.
time bounds, Analysis of programs, data dependence, Fortran-like loops, parallel computation, processor bounds, program speedup, recurrence relations
U. Banerjee, R.A. Towle, null Shyh-Ching Chen, D.J. Kuck, "Time and Parallel Processor Bounds for Fortran-Like Loops", IEEE Transactions on Computers, vol. 28, no. , pp. 660-670, September 1979, doi:10.1109/TC.1979.1675434