The Mathematical-Function Computation Handbook - Beebe, Nelson H. F.

. .

Résumé :
Describes the computation of mathematical functions in decimal arithmetic, including coverage of 256-bit floating-point formats Covers a major part of the NIST Handbook of Mathematical Functions, with highly accurate implementations in up to 10 floating-point formats Describes implementation in the C programming language, and also provides interfaces to Ada, C#, C++, Fortran, Java, and Pascal Pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, including to important historical architectures...

Biographie:
?Dr. Nelson H.F. Beebe is a Research Professor and Software Specialist in the Department of Mathematics at the University of Utah, USA. He has a diverse background in chemistry, physics, mathematics, computer science, systems management, and typography, having studied, worked, and taught in three countries. He has written extensive software projects in numerous programming-language, operating-system, and hardware environments. His bibliographic database work has exposed him to a wide range of journals on current research....

Sommaire:
Introduction.- Iterative Solutions and Other Tools.- Polynomial Approximations.- Implementation Issues.- The Floating-Point Environment.- Converting Floating-Point Values to Integers.- Random Numbers.- Roots.- Argument Reduction.- Exponential and Logarithm.- Trigonometric Functions.- Hyperbolic Functions.- Pair-Precision Arithmetic.- Power Function.- Complex Arithmetic Primitives.- Quadratic Equations.- Elementary Functions in Complex Arithmetic.- The Greek Functions: Gamma, Psi, and Zeta.- Error and Probability Functions.- Elliptic Integral Functions.- Bessel Functions.- Testing the Library.- Pair-Precision Elementary Functions.- Accuracy of the Cody/Waite Algorithms.- Improving Upon the Cody/Waite Algorithms.- Floating-Point Output.- Floating-Point Input.- Appendix A: Ada Interface.- Appendix B: C# Interface.- Appendix C: C++ Interface.- Appendix D: Decimal Arithmetic.- Appendix E: Errata in the Cody/Waite Book.- Appendix?F: Fortran Interface.- Appendix?H: Historical Floating-Point Architectures.- Appendix I: Integer Arithmetic.- Appendix?J: Java Interface.- Appendix?L: Letter Notation.- Appendix P: Pascal Interface.

...