Basic Properties and Algorithms
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.
KeywordsBasic Property Complex Number Arithmetic Operation Naive Algorithm Complex Division
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