Correctly Rounded Binary-Decimal and Decimal-Binary Conversions (1990)
by
David M. Gay
| Venue: | NUMERICAL ANALYSIS MANUSCRIPT 90-10, AT&T BELL LABORATORIES |
| Citations: | 22 - 3 self |
BibTeX
@TECHREPORT{Gay90correctlyrounded,
author = {David M. Gay},
title = {Correctly Rounded Binary-Decimal and Decimal-Binary Conversions},
institution = {NUMERICAL ANALYSIS MANUSCRIPT 90-10, AT&T BELL LABORATORIES},
year = {1990}
}
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Abstract
This note discusses the main issues in performing correctly rounded decimal-to-binary and binary-to-decimal conversions. It reviews recent work by Clinger and by Steele and White on these conversions and describes some efficiency enhancements. Computational experience with several kinds of arithmetic suggests that the average computational cost for correct rounding can be small for typical conversions. Source for conversion routines that support this claim is available from netlib.
Citations
| 1492 | The C++ Programming Language - Stroustrup - 1991 |
| 364 | AMPL: A Modeling Language for - Fourer, Gay, et al. - 2002 |
| 318 | The Annotated C++ Reference Manual - Ellis, Stroustrup - 1992 |
| 24 | Contributions to a Proposed Standard for Binary FloatingPoint Arithmetic - Coonen - 1984 |
| 19 | A language for writing code generators - Fraser - 1989 |
| 12 | A test of a computer's floating-point arithmetic unit - Schryer - 1981 |
| 11 | Distribution of Mathematical Software by Electronic Mail - Dongarra, Grosse - 1987 |
| 6 | A formalization of floating-point numeric base conversion - Matula - 1970 |
| 5 | for Binary Floating-Point Arithmetic, Institute of Electrical and Electronics Engineers - Standard - 1985 |
| 1 | How to Read Floating Point Numbers Accurately,’’ pp. 92–101 - Clinger - 1990 |
| 1 | How to Print Floating-Point Numbers Accurately,’’ pp. 112–126 - Steele, White - 1990 |
