The mathematical-function computation handbook. Programming using the MathCW portable software library. (English) Zbl 1378.65001

Beebe, Nelson H. F.

Cham: Springer (ISBN 978-3-319-64109-6/hbk; 978-3-319-64110-2/ebook). xxxvi, 1115 p. (2017).

Publisher’s description: All major computer programming languages – as well as the disciplines of science and engineering more broadly – require computation of elementary and special functions of mathematics. The MathCW Software Library emphasizes portability, precisely because the code needs to capable of use on a wide variety of platforms.
This highly comprehensive handbook provides a substantial advance in such computation, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision.

MSC:

65-00	General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis
65D20	Computation of special functions and constants, construction of tables
65Y15	Packaged methods for numerical algorithms

Software:

SPECFUN; AS 183; Algorithm 713; MPFR; Algorithm 738; Algorithm 693; Algorithm 272; AS 241; cuRAND; mpcheck; REXX; STL; Algorithm 524; Algorithm 908; Algorithm 304; LLRANDOM; HANKEL; Algorithm 597; FNLIB; Algorithm 610; TestU01; CELEFUNT; Algorithm 542; Algorithm 644; MersenneTwister; Ada95; decNumber; SPRNG; UCBTEST; Algorithm 236; MathCW; NetRexx; OEIS; CoStLy; Algorithm 511; CFSF; DLMF; COBOL; Algorithm 786; LISP; REDUCE; algorithm 577; Algorithm 528; PORT ; Algorithm 877