Handbook of Floating-Point Arithmetic

• Κύριοι συγγραφείς: Muller, Jean-Michel (Συγγραφέας), Brisebarre, Nicolas (Συγγραφέας), de Dinechin, Florent (Συγγραφέας), Jeannerod, Claude-Pierre (Συγγραφέας), Lefèvre, Vincent (Συγγραφέας), Melquiond, Guillaume (Συγγραφέας), Revol, Nathalie (Συγγραφέας), Stehlé, Damien (Συγγραφέας), Torres, Serge (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2010.
• Έκδοση: 1.
• Θέματα: Mathematics.; Programming languages (Electronic computers).; Algorithms.; Computer science > Mathematics.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Computational Mathematics and Numerical Analysis.; Algorithm Analysis and Problem Complexity.; Math Applications in Computer Science.; Appl.Mathematics/Computational Methods of Engineering.; Programming Languages, Compilers, Interpreters.

Floating-point arithmetic is by far the most widely used way of implementing real-number arithmetic on modern computers. Although the basic principles of floating-point arithmetic can be explained in a short amount of time, making such an arithmetic reliable and portable, yet fast, is a very difficu...

Πίνακας περιεχομένων:

• Introduction, Basic Definitions, and Standards
• Definitions and Basic Notions
• Floating-Point Formats and Environment
• Cleverly Using Floating-Point Arithmetic
• Basic Properties and Algorithms
• The Fused Multiply-Add Instruction
• Enhanced Floating-Point Sums, Dot Products, and Polynomial Values
• Languages and Compilers
• Implementing Floating-Point Operators
• Algorithms for the Five Basic Operations
• Hardware Implementation of Floating-Point Arithmetic
• Software Implementation of Floating-Point Arithmetic
• Elementary Functions
• Evaluating Floating-Point Elementary Functions
• Solving the Table Maker’s Dilemma
• Extensions
• Formalisms for Certifying Floating-Point Algorithms
• Extending the Precision
• Perspectives and Appendix
• Conclusion and Perspectives
• Appendix: Number Theory Tools for Floating-Point Arithmetic.