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Titlebook: Handbook of Floating-Point Arithmetic; Jean-Michel Muller,Nicolas Brunie,Serge Torres Book 2018Latest edition Springer International Publi

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楼主: Suture
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Algorithms for the Basic Operationsion, 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 . and Chapter . will detail some examples of actual implementations in, respectively, hardware and software.
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Complex Numbersous calculations that use complex numbers in terms of real numbers only. However, this will frequently result in programs that are larger and less clear. A good complex arithmetic would make numerical programs devoted to these problems easier to design, understand, and debug.
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Introduction different ways of approximating real numbers on computers have been introduced. One can cite (this list is far from being exhaustive): fixed-point arithmetic, logarithmic [., .] and semi-logarithmic [.] number systems, intervals [.], continued fractions [., .], rational numbers [.] and possibly inf
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Languages and Compilerser, we discuss the practical issues encountered when trying to implement such algorithms in actual computers using actual programming languages. In particular, we discuss the relationship between standard compliance, portability, accuracy, and performance. This chapter is useful to programmers wishi
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