surmount
发表于 2025-3-27 00:25:16
Table-Based MethodsAs explained in Chapter ., for evaluating a function in a large domain (possibly made up with all floating-point numbers of a given format), we first perform one or several . steps, to reduce our initial problem to the evaluation of a function in one or several (sometimes, many!) smaller intervals.
Ligneous
发表于 2025-3-27 02:56:30
Multiple-Precision Evaluation of FunctionsMultiple-precision arithmetic is a useful tool in many domains of contemporary science. Some numerical applications are known to sometimes require significantly more precision than provided by the usual binary32/single-precision, binary-64/double precision, and Intel extended-precision formats .
AVERT
发表于 2025-3-27 06:30:04
Introduction to Shift-and-Add AlgorithmsWe present the simplest shift-and-add algorithms and the notions that will be useful for designing more sophisticated algorithms.
magnate
发表于 2025-3-27 13:11:06
Some Other Shift-and-Add AlgorithmsThe shift-and-add algorithms presented in Chapters . and . allow us to obtain an .-bit approximation of the function being computed after about . iterations. This property makes most of these algorithms rather slow; their major interest lies in the simplicity of implementation, and in the small silicon area of designs.
半球
发表于 2025-3-27 15:02:52
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Indigence
发表于 2025-3-27 18:43:30
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Outspoken
发表于 2025-3-27 22:52:24
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JEER
发表于 2025-3-28 04:02:25
Textbook 2016Latest editionls with basic principles of multiple-precision arithmetic. Part II is devoted to a presentation of “shift-and-add” algorithms (hardware-oriented algorithms that use additions and shifts only). Issues related to accuracy, including range reduction, preservation of monotonicity, and correct rounding
Medicaid
发表于 2025-3-28 06:29:21
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Misnomer
发表于 2025-3-28 10:53:54
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