The Need for an Industry Standard of Accuracy for Elementary-Function Programs

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The Need for an Industry Standard of Accuracy for Elementary-Function Programs

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 10 , Issue 4 (December 1984) table of contents

Pages: 361 - 366

Year of Publication: 1984

ISSN:0098-3500

Authors

Cheryl M. Black	Department of Computer Sciences, Purdue University, West Lafayette, IN
Robert Burton and Thomas H. Miller	Department of Computer Science, University of Idaho, Moscow, ID

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 5, Downloads (12 Months): 18, Citation Count: 4

Additional Information:

references cited by index terms collaborative colleagues

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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	William James Cody, Software Manual for the Elementary Functions (Prentice-Hall series in computational mathematics), Prentice-Hall, Inc., Upper Saddle River, NJ, 1980
	2	CONTROL DATA 6000 SERIES Computer Systems Reference Manual. COX, M W Univac Claims Super Accurate FORTRAN Math Library. SIGNUM Newsletter (ACM), 6, 3 (Nov. 1971), 9.
	3	Cox, M.W. Umvac Claims Super Accurate FORTRAN Math Library. SIGNUM Newsletter (ACM), 6, 3 (Nov. 1971), 9
	4	DEVINE, C.J., AND LAWSON, C.L. Accuracy of Single Precis,on Univac 1108 Subroutine Library Functions, JPL Space Programs Summary 37-56, Vol. II, 115-121.
	5	Mary H. Payne , Robert N. Hanek, Degree reduction for trigonometric functions, ACM SIGNUM Newsletter, v.18 n.2, p.18-19, April 1983 [doi>10.1145/1057605.1057606]
	6	Mary H. Payne , Robert N. Hanek, Degree reduction for trigonometric functions, ACM SIGNUM Newsletter, v.18 n.2, p.18-19, April 1983 [doi>10.1145/1057605.1057606]
	7	John F. Hart, Computer Approximations, Krieger Publishing Co., Inc., Melbourne, FL, 1978
	8	IBM SYSTEMS REFERENCE LmRARY FORTRAN IV Library: Mathematical and Service Subprograms. Form C28-6818, IBM Corp., New York, 1969.
	9	MILLER, T.H. Accuracy Enhancement of the FORTRAN V Math Library. In Proceedings of USE Conference (Atlanta, Ga.) Oct. 1970.
	10	George Paul , M. Wayne Wilson, Should the Elementary Function Library Be Incorporated Into Computer Instruction Sets?, ACM Transactions on Mathematical Software (TOMS), v.2 n.2, p.132-142, June 1976 [doi>10.1145/355681.355684]
	11	John Rischard Rice, Mathematical Software, Academic Press, Inc., Orlando, FL, 1971
	12	J. Y. Wang, The evaluation of periodic functions with large input arguments, ACM SIGNUM Newsletter, v.13 n.4, p.7-8, December 1978 [doi>10.1145/1053412.1053413]

CITED BY 4

	Shmuel Gal, An accurate elementary mathematical library for the IEEE floating point standard, ACM Transactions on Mathematical Software (TOMS), v.17 n.1, p.26-45, March 1991
	Abraham Ziv, Fast evaluation of elementary mathematical functions with correctly rounded last bit, ACM Transactions on Mathematical Software (TOMS), v.17 n.3, p.410-423, Sept. 1991
	David M. Smith, Algorithm 693; a FORTRAN package for floating-point multiple-precision arithmetic, ACM Transactions on Mathematical Software (TOMS), v.17 n.2, p.273-283, June 1991
	M. J. Schulte , E. E. Swartzlander, Jr., Hardware Designs for Exactly Rounded Elementary Functions, IEEE Transactions on Computers, v.43 n.8, p.964-973, August 1994

INDEX TERMS

Primary Classification:
G. Mathematics of Computing

Collaborative Colleagues:

Cheryl M. Black: colleagues

Robert Burton and Thomas H. Miller: colleagues

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