2018
DOI: 10.1007/978-3-319-76526-6
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Handbook of Floating-Point Arithmetic

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Cited by 161 publications
(82 citation statements)
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“…The implementation of a mathematical function, such as exp(x), sin(x) or atan(x), in the floating-point environment provided by IEEE754-2008 has been extensively studied and described in the literature [4], [5], [6], [7], [8], [9], [10]. Classically, a mathematical function on a floating-point argument is computed in four or five steps.…”
Section: Implementation Of Mathematical Functionsmentioning
confidence: 99%
“…The implementation of a mathematical function, such as exp(x), sin(x) or atan(x), in the floating-point environment provided by IEEE754-2008 has been extensively studied and described in the literature [4], [5], [6], [7], [8], [9], [10]. Classically, a mathematical function on a floating-point argument is computed in four or five steps.…”
Section: Implementation Of Mathematical Functionsmentioning
confidence: 99%
“…A FMA (Fused Multiply and Add) is also available. Therefore T woP rod is replaced by 2M ultF M A [10] which only requires two FMAs to compute the product and its error, and so improves performance. Figure 4 exhibits respective ratios of 2×, 4×, 6× and 6× for asum, dot product, euclidean norm and matrix-vector multiplication.…”
Section: Implementation and Performance Resultsmentioning
confidence: 99%
“…There are several ways to perform this operation, although unbiased rounding-to-nearest has the best characteristics [1] [2]. It provides the closest possible number to the original exact value, but if the exact value is exactly halfway between two numbers, then it is selected randomly.…”
Section: Introductionmentioning
confidence: 99%