Algorithm 693: a FORTRAN package for floating-point multiple-precision arithmetic

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Algorithm 693: a FORTRAN package for floating-point multiple-precision arithmetic

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 17 , Issue 2 (June 1991) table of contents

Pages: 273 - 283

Year of Publication: 1991

ISSN:0098-3500

Author

David M. Smith

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 5, Downloads (12 Months): 48, Citation Count: 8

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appendices and supplements abstract references cited by index terms peer to peer

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APPENDICES and SUPPLEMENTS

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floating point multiple precision arithmetic

ABSTRACT

FM is a collection of FORTRAN-77 routines which performs floating-point multiple-precision arithmetic and elementary functions. Results are almost always correctly rounded, and due to improved algorithms used for elementary functions, reasonable efficiency is obtained.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Jon Bentley, Programming pearls, ACM Press, New York, NY, 1986
	2	Jon Louis Bentley, Writing Efficient Programs, Prentice Hall PTR, Upper Saddle River, NJ, 1982
	3	Cheryl M. Black , Robert Burton and Thomas H. Miller, The Need for an Industry Standard of Accuracy for Elementary-Function Programs, ACM Transactions on Mathematical Software (TOMS), v.10 n.4, p.361-366, Dec. 1984 [doi>10.1145/2701.356101]
	4	BRENT, R. P. The complexity of multiple-precision arithmetic. In Complexity of Computational Problem Solwng, R. S. Anderssen and R. P. Brent, Eds., University of Queensland Press, Brisbane, 1976, 126-165.
	5	Richard P. Brent, Fast Multiple-Precision Evaluation of Elementary Functions, Journal of the ACM (JACM), v.23 n.2, p.242-251, April 1976 [doi>10.1145/321941.321944]
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	8	KAHAN, W. M. And now for something completely different: The TI SR-52. Univ. of California, Berkeley Electronics Research Lab Rep. UCB/ERL M77/23, Apr. 1977.
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	11	Donald E. Knuth, The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms, Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1997
	12	RAMANUJAN, S. Modular equations and approximations to ~r. Q. J. Math. 45 (1914), 350-372. Also in Collected Papers ofSrtnivasa Ramanujan, G. H. Hardy, P. V. Seshu Aiyar, and B. M. Wilson, Eds., Cambridge University Press, 1927, 23-39.
	13	SHANKS, D., AND WRENC~t, J.W. Calculation of ~r to 100,000 places. Math. Comput. 16 (1962), 76-99.
	14	SMITH, D.M. Efficient multiple-precision evaluation of elementary functions. Math. Comput. 52 (1989), 131-134.

CITED BY 8

	David M. Smith, Algorithm 786: multiple-precision complex arithmetic and functions, ACM Transactions on Mathematical Software (TOMS), v.24 n.4, p.359-367, Dec. 1998
	David M. Smith, Algorithm 814: Fortran 90 software for floating-point multiple precision arithmetic, gamma and related functions, ACM Transactions on Mathematical Software (TOMS), v.27 n.4, p.377-387, December 2001
	B. G. S. Doman , C. J. Pursglove , W. M. Coen, A set of Ada packages for high-precision calculations, ACM Transactions on Mathematical Software (TOMS), v.21 n.4, p.416-431, Dec. 1995
	Brigitte Verdonk , Annie Cuyt , Dennis Verschaeren, A precision- and range-independent tool for testing floating-point arithmetic II: conversions, ACM Transactions on Mathematical Software (TOMS), v.27 n.1, p.119-140, March 2001
	Walter Schreppers , Annie Cuyt, Algorithm 871: A C/C++ precompiler for autogeneration of multiprecision programs, ACM Transactions on Mathematical Software (TOMS), v.34 n.1, p.1-20, January 2008
	Bridgitte Verdonk , Annie Cuyt , Dennis Verschaeren, A precision- and range-independent tool for testing floating-point arithmetric I: basic operations, square root, and remainder, ACM Transactions on Mathematical Software (TOMS), v.27 n.1, p.92-118, March 2001
	David H. Bailey, Algorithm 719; Multiprecision translation and execution of FORTRAN programs, ACM Transactions on Mathematical Software (TOMS), v.19 n.3, p.288-319, Sept. 1993
	Laurent Fousse , Guillaume Hanrot , Vincent Lefèvre , Patrick Pélissier , Paul Zimmermann, MPFR: A multiple-precision binary floating-point library with correct rounding, ACM Transactions on Mathematical Software (TOMS), v.33 n.2, p.13-es, June 2007