JUCS - Journal of Universal Computer Science 1(7): 439-453, doi: 10.3217/jucs-001-07-0439
A High Radix On-line Arithmetic for Credible and Accurate Computing
expand article infoThomas Lynch, Michael J. Schulte§
‡ Advanced Micro Devices, United States of America§ University of Texas at Austin, United States of America
Open Access
The result of a simple floating-point computation can be in great error, even though no error is signaled, no coding mistakes are in the program, and the computer hardware is functioning correctly. This paper proposes a set of instructions appropriate for a general purpose microprocessor that can be used to improve the credibility and accuracy of numerical computations. Such instructions provide direct hardware support for monitoring events which may threaten computational integrity, implementing floating-point data types of arbitrary precision, and repeating calculations with greater precision. These useful features are obtained by the efficient implementation of high radix on-line arithmetic. The prevalence of super-scalar and VLIW processors makes this approach especially attractive.
High-radix, on-line arithmetic, precision, accurate, reliable, credible, super-scaler, VLIW.