The K5 transcendental functions

Author

Lynch, Tom ; Ahmed, Ashraf ; Schulte, Mike ; Callaway, Tom ; Tisdale, Robert

Author_Institution

PC Products Div., Adv. Micro Devices Inc., Austin, TX, USA

fYear

1995

fDate

19-21 Jul 1995

Firstpage

163

Lastpage

170

Abstract

This paper describes the development of the transcendental instructions for the K5, AMD´s recently completed x86 compatible superscalar microprocessor. A multi-level development cycle, with testing between levels, facilitated the early detection of errors and limited their effect on the design schedule. The algorithms for the transcendental functions use table-driven reductions followed by polynomial approximations. Multiprecision arithmetic operations are used when necessary to maintain sufficient accuracy and to ensure that the transcendental functions have a maximum error of one unit in the last place

Keywords

approximation theory; encoding; floating point arithmetic; microprocessor chips; polynomials; AMD x86 compatible superscalar microprocessor; K5 transcendental functions; design schedule; multi-level development cycle; multiprecision arithmetic operations; polynomial approximations; table-driven reductions; Floating-point arithmetic; Hardware; Microprocessors; Out of order; Polynomials; Processor scheduling; Read only memory; Reduced instruction set computing; Registers; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Arithmetic, 1995., Proceedings of the 12th Symposium on

Conference_Location

Bath

Print_ISBN

0-8186-7089-4

Type

conf

DOI

10.1109/ARITH.1995.465368

Filename

465368