Algorithm 719: Multiprecision translation and execution of FORTRAN programs
ACM Transactions on Mathematical Software (TOMS)
Software for Doubled-Precision Floating-Point Computations
ACM Transactions on Mathematical Software (TOMS)
Compiling for SIMD Within a Register
LCPC '98 Proceedings of the 11th International Workshop on Languages and Compilers for Parallel Computing
The Scc Compiler: SWARing at MMX 3DNow!
LCPC '99 Proceedings of the 12th International Workshop on Languages and Compilers for Parallel Computing
Hi-index | 0.00 |
Most mathematical formulae are defined in terms of operations on real numbers, but computers can only operate on numeric values with finite precision and range. Using floating-point values as real numbers does not clearly identify the precision with which each value must be represented. Too little precision yields inaccurate results; too much wastes computational resources. The popularity of multimedia applications has made fast hardware support for low-precision floating-point arithmetic common in Digital Signal Processors (DSPs), SIMD Within A Register (SWAR) instruction set extensions for general purpose processors, and in Graphics Processing Units (GPUs). In this paper, we describe a simple approach by which the speed of these low-precision operations can be speculatively employed to meet user-specified accuracy constraints. Where the native precision(s) yield insufficient accuracy, a simple technique is used to efficiently synthesize enhanced precision using pairs of native values.