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IEEE floating point

About: IEEE floating point is a research topic. Over the lifetime, 839 publications have been published within this topic receiving 16645 citations.


Papers
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Journal ArticleDOI
David E. Goldberg1
TL;DR: This paper presents a tutorial on the aspects of floating-point that have a direct impact on designers of computer systems, and concludes with examples of how computer system builders can better support floating point.
Abstract: Floating-point arithmetic is considered as esoteric subject by many people. This is rather surprising, because floating-point is ubiquitous in computer systems: Almost every language has a floating-point datatype; computers from PCs to supercomputers have floating-point accelerators; most compilers will be called upon to compile floating-point algorithms from time to time; and virtually every operating system must respond to floating-point exceptions such as overflow. This paper presents a tutorial on the aspects of floating-point that have a direct impact on designers of computer systems. It begins with background on floating-point representation and rounding error, continues with a discussion of the IEEE floating point standard, and concludes with examples of how computer system builders can better support floating point.

1,372 citations

StandardDOI
01 Jan 2008

1,354 citations

Journal ArticleDOI
TL;DR: This article presents a multiple-precision binary floating-point library, written in the ISO C language, and based on the GNU MP library, to extend to arbitrary- Precision, ideas from the IEEE 754 standard, by providing correct rounding and exceptions.
Abstract: This article presents a multiple-precision binary floating-point library, written in the ISO C language, and based on the GNU MP library. Its particularity is to extend to arbitrary-precision, ideas from the IEEE 754 standard, by providing correct rounding and exceptions. We demonstrate how these strong semantics are achieved---with no significant slowdown with respect to other arbitrary-precision tools---and discuss a few applications where such a library can be useful.

924 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20238
202210
202133
202037
201943
201835