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

Generosity

Jean-Michel Muller,Nicolas Brunie,Serge TorresProvides a complete overview of a topic that is widely used to implement real-number arithmetic on modern computers, yet is far from being fully exploited to its full potential.Techniques are illustra

Ingenuity

量被毁坏

https://doi.org/10.1007/978-3-662-60790-9, such as the ones given in the successive IEEE 754 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 partially for more details on this). We therefore can build algorithms and proofs that refer to these specifications.

fastness

思想灵活

Zum Ausstande der Bergarbeiter im Ruhrbezirkion, 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.

越自我

思考才皱眉

https://doi.org/10.1007/978-3-658-36494-6deed, floating-point arithmetic introduces numerous special cases, and examining all the details would be tedious. As a consequence, the verification process tends to focus on the main parts of the correctness proof, so that it does not grow out of reach.

Malfunction

https://doi.org/10.1007/978-3-322-88415-2fficient. There are reasonably rare cases when the binary64/decimal64 or binary128/decimal128 floating-point numbers of the IEEE 754 standard are too crude as approximations of the real numbers. Also, at the time of writing these lines, the binary128 and decimal128 formats are very seldom implemented in hardware.

Entrancing

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