Title :
"Partially rounded" small-order approximations for accurate, hardware-oriented, table-based methods
Author :
Muller, Jean-Michel
Author_Institution :
CNRS, Ecole Normale Superieure de Lyon, France
Abstract :
We aim at evaluating elementary and special functions using small tables and small, rectangular, multipliers. To do that, we show how accurate polynomial approximations whose order-1 coefficients are small in size (a few bits only) can be computed. We compare the obtained results with similar work in the recent literature.
Keywords :
digital arithmetic; functions; polynomial approximation; process algebra; table lookup; computer arithmetic; elementary functions; hardware oriented methods; partially rounded small-order approximations; polynomial approximations; special functions; table-based methods; Digital arithmetic; Error analysis; Polynomials; Springs; Taylor series; Very large scale integration;
Conference_Titel :
Computer Arithmetic, 2003. Proceedings. 16th IEEE Symposium on
Print_ISBN :
0-7695-1894-X
DOI :
10.1109/ARITH.2003.1207668
