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The end of error : unum computing
- Author / Creator
- Available as
- Online
- Summary
-
""John Gustafson's book The End of Error presents the ideas of computer arithmetic in a very easy-to-read and understandable form. While the title is provocative, the content provides an illuminati...
""John Gustafson's book The End of Error presents the ideas of computer arithmetic in a very easy-to-read and understandable form. While the title is provocative, the content provides an illuminating discussion of the issues. The examples are engaging, well thought out, and simple to follow.""--Jack Dongarra, University Distinguished Professor, University of Tennessee""John Gustafson presents a bold and brilliant proposal for a revolutionary number representation system, unum, for scientific (and potentially all other) computers. Unum's main advantage is that computing with these numbers gives.
Details
- Creator
- John L. Gustafson
- Format
- Books
- Language
- English
- Publication
-
- Boca Raton, Florida : CRC Press, [2015]
- ©2015
- Physical Details
-
- 1 online resource (xx, 416 pages :) : color illustrations
- ISBNs
- 9781482239874, 9781482239867, 1322635234, 1482239868, 1482239876
- OCLC
- ocn907941317
- Includes index.
- Front Cover; Contents; Preface; Acknowledgments; How to read this book; Part 1 -- A New Number Format: The Unum; Chapter 1 -- Overview; Chapter 2 -- Building up to the unum format; Chapter 3 -- The "original sin" of computer arithmetic; Chapter 4 -- The complete unum format; Chapter 5 -- Hidden scratchpads and the three layers; Chapter 6 -- Information per bit; Chapter 7 -- Fixed-size unum storage; Chapter 8 -- Comparison operations; Chapter 9 -- Add/subtract and the unbiased rounding myth; Chapter 10 -- Multiplication and division; Chapter 11 -- Powers; Chapter 12 -- Other important unary operations
- Chapter 13 -- Fused operations (single-use expressions)Chapter 14 -- Trial runs: Unums face challenge calculations; Part 2 -- A New Way to Solve: The Ubox; Chapter 15 -- The other kind of error; Chapter 16 -- Avoiding interval arithmetic pitfalls; Chapter 17 -- What does it mean to "solve" an equation?; Chapter 18 -- Permission to guess; Chapter 19 -- Pendulums done correctly; Chapter 20 -- The two-body problem (and beyond); Chapter 21 -- Calculus considered evil: Discrete physics; Chapter 22 -- The end of error; Glossary; Appendix A -- Glossary of unum functions; Appendix B -- Glossary of ubox functions
- Appendix C -- Algorithm listings for Part 1Appendix D -- Algorithm listings for Part 2; For further reading; Back Cover