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Handbook of Floating-Point Arithmetic

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Muller, Jean-Michel (Autor), Brisebarre, Nicolas (Autor), de Dinechin, Florent (Autor), Jeannerod, Claude-Pierre (Autor), Lefèvre, Vincent (Autor), Melquiond, Guillaume (Autor), Revol, Nathalie (Autor), Stehlé, Damien (Autor), Torres, Serge (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
Edición:1st ed. 2010.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.