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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CITATION STYLE
Muller, J.-M., Brunie, N., de Dinechin, F., Jeannerod, C.-P., Joldes, M., Lefèvre, V., … Torres, S. (2018). Basic Properties and Algorithms. In Handbook of Floating-Point Arithmetic (pp. 97–162). Springer International Publishing. https://doi.org/10.1007/978-3-319-76526-6_4
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