New algorithms for improved transcendental functions on IA-64

Author

Story, Shane ; Tang, Ping Tak Peter

Author_Institution

Intel Corp., Hillsboro, OR, USA

fYear

1999

fDate

1999

Firstpage

4

Lastpage

11

Abstract

The IA-64 architecture provides new opportunities and challenges for implementing an improved set of transcendental functions. Using several novel polynomial-based table-driven techniques, we are able to provide new algorithms for the transcendental functions. Major improvements include an accuracy level of about 0.6 ulps (units in the last place) and forward trigonometric functions that have a period of 2π. The accuracy enhancements are achieved at improved speed, yet without an increase in the table size. In this paper, we highlight the key IA-64 architectural features that influenced our designs, and explain the main ideas used in our new algorithms

Keywords

computer architecture; digital arithmetic; functions; mathematics computing; IA-64 architecture; accuracy; computation speed; forward trigonometric functions; polynomial-based table-driven techniques; table size; transcendental function algorithms; Application software; Approximation algorithms; Computer aided instruction; Computer architecture; Concurrent computing; Hardware; Iterative algorithms; Parallel processing; Parallel programming; Software quality;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Arithmetic, 1999. Proceedings. 14th IEEE Symposium on

Conference_Location

Adelaide, SA

ISSN

1063-6889

Print_ISBN

0-7695-0116-8

Type

conf

DOI

10.1109/ARITH.1999.762822

Filename

762822