Abstract
Among the many operations that the IEEE 754 standards specify (see Chapter 3), we will focus here and in the next two chapters on the five basic arithmetic operations: addition, subtraction, multiplication, division, and square root. We will also study the fused multiply-add (FMA) operator. We review here some of the known properties and algorithms used to implement each of those operators. Chapter 9 and Chapter 10 will detail some examples of actual implementations in, respectively, hardware and software.
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CITATION STYLE
Muller, J.-M., Brisebarre, N., de Dinechin, F., Jeannerod, C.-P., Lefèvre, V., Melquiond, G., … Torres, S. (2010). Algorithms for the Five Basic Operations. In Handbook of Floating-Point Arithmetic (pp. 239–267). Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4705-6_8
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