Abstract
In this chapter, we present some short yet useful algorithms and some basic properties that can be derived from specifications of floating-point arithmetic systems, such as the ones given in the various successive IEEE standards. Thanks to these standards, we now have an accurate definition of floating-point formats and operations. The behavior of a sequence of operations becomes at least partially1 predictable (see Chapter 7) for more details on this). We therefore can build algorithms and proofs that use these specifications.
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© 2010 Birkhäuser Boston
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Muller, JM. et al. (2010). Basic Properties and Algorithms. In: Handbook of Floating-Point Arithmetic. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4705-6_4
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DOI: https://doi.org/10.1007/978-0-8176-4705-6_4
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4704-9
Online ISBN: 978-0-8176-4705-6
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