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1
Handbook of Floating-Point Arithmetic
EN NWISBN: 9780817647056 bzw. 0817647058, in Englisch, Birkhäuser Boston, neu.
Lieferung aus: Deutschland, Versandkostenfrei.
Handbook of Floating-Point Arithmetic: loating point arithmetic is by far the most widely used way of F approximating real number arithmetic for performing numerical calcu lations on modern computers. A rough presentation of oating point arith metic requires only a few words: a number x is represented in radix oating point arithmetic with a sign s, a signi cand m, and an exponent e, e such that x = s×m× . Making such an arithmetic reliable, fast, and portable is however a very complex task. Although it could be argued that, to some ex tent, the concept of oating point arithmetic (in radix 60) was invented by the Babylonians, or that it is the underlying arithmetic of the slide rule, its rst modern implementation appeared in Konrad Zuses 5. 33Hz Z3 computer. A vast quantity of very diverse arithmetics was implemented between the 1960s and the early 1980s. The radix (radices 2, 4, 16, and 10 were then considered), and the sizes of the signi cand and exponent elds were not standardized. The approaches for rounding and for handling under ows, over ows, or forbidden operations (such as 5/0 or 3) were signi cantly different from one machine to another. This lack of standardization made it dif cult to write reliable and portable numerical software. Pioneering scientists including Brent, Cody, Kahan, and Kuki high lighted the relevant key concepts for designing an arithmetic that could be both useful for programmers and practical for implementers. Englisch, Ebook.
Handbook of Floating-Point Arithmetic: loating point arithmetic is by far the most widely used way of F approximating real number arithmetic for performing numerical calcu lations on modern computers. A rough presentation of oating point arith metic requires only a few words: a number x is represented in radix oating point arithmetic with a sign s, a signi cand m, and an exponent e, e such that x = s×m× . Making such an arithmetic reliable, fast, and portable is however a very complex task. Although it could be argued that, to some ex tent, the concept of oating point arithmetic (in radix 60) was invented by the Babylonians, or that it is the underlying arithmetic of the slide rule, its rst modern implementation appeared in Konrad Zuses 5. 33Hz Z3 computer. A vast quantity of very diverse arithmetics was implemented between the 1960s and the early 1980s. The radix (radices 2, 4, 16, and 10 were then considered), and the sizes of the signi cand and exponent elds were not standardized. The approaches for rounding and for handling under ows, over ows, or forbidden operations (such as 5/0 or 3) were signi cantly different from one machine to another. This lack of standardization made it dif cult to write reliable and portable numerical software. Pioneering scientists including Brent, Cody, Kahan, and Kuki high lighted the relevant key concepts for designing an arithmetic that could be both useful for programmers and practical for implementers. Englisch, Ebook.
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Jean-Michel Muller; Nicolas Brisebarre; Florent de Dinechin; Claude-Pierre Jeannerod; Vincent Lefèvre
Handbook of Floating-Point Arithmetic
EN NWISBN: 9780817647056 bzw. 0817647058, in Englisch, Birkhäuser Verlag, Schweiz, neu.
Lieferung aus: Deutschland, zzgl. Versandkosten, Sofort per Download lieferbar.
This handbook aims to provide a complete overview of modern floating-point arithmetic. This includes a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic. Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program.The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
This handbook aims to provide a complete overview of modern floating-point arithmetic. This includes a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic. Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program.The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
3
Handbook of Floating-Point Arithmetic
EN NWISBN: 9780817647056 bzw. 0817647058, in Englisch, Birkhäuser Verlag, Schweiz, neu.
Lieferung aus: Schweiz, zzgl. Versandkosten, Sofort per Download lieferbar.
This handbook aims to provide a complete overview of modern floating-point arithmetic. This includes a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic. Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program.The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
This handbook aims to provide a complete overview of modern floating-point arithmetic. This includes a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic. Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program.The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
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