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Volumn 57, Issue 2, 2008, Pages 165-174

Correctly rounded multiplication by arbitrary precision constants

Author keywords

Computer arithmetic; Floating point arithmetic

Indexed keywords

MULTIPLYING CIRCUITS; NUMBER THEORY; PROGRAM PROCESSORS;

EID: 38349079110     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.2007.70813     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 84966503230 scopus 로고
    • Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Applied Math
    • US Nat'l Bureau of Standards
    • M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Applied Math. Series 55, US Nat'l Bureau of Standards, 1964.
    • (1964) Series , vol.55
    • Abramowitz, M.1    Stegun, I.A.2
  • 2
    • 3242698967 scopus 로고    scopus 로고
    • Accelerating Correctly Rounded Floating-Point Division When the Divisor Is Known in Advance
    • Aug
    • N. Brisebarre, J.-M. Muller, and S. Raina, "Accelerating Correctly Rounded Floating-Point Division When the Divisor Is Known in Advance," IEEE Trans. Computers, vol. 53, no. 8, pp. 1069-1072, Aug. 2004.
    • (2004) IEEE Trans. Computers , vol.53 , Issue.8 , pp. 1069-1072
    • Brisebarre, N.1    Muller, J.-M.2    Raina, S.3
  • 3
    • 0032683290 scopus 로고    scopus 로고
    • Correctness Proofs Outline for Newton-Raphson Based Floating-Point Divide and Square Root Algorithms
    • I. Koren and P. Kornerup, eds, pp, Apr
    • M.A. Cornea-Hasegan, R.A. Golliver, and P. Markstein "Correctness Proofs Outline for Newton-Raphson Based Floating-Point Divide and Square Root Algorithms," Proc. 14th IEEE Symp. Computer Arithmetic, I. Koren and P. Kornerup, eds., pp. 96-105, Apr. 1999.
    • (1999) Proc. 14th IEEE Symp. Computer Arithmetic , pp. 96-105
    • Cornea-Hasegan, M.A.1    Golliver, R.A.2    Markstein, P.3
  • 5
    • 0026122066 scopus 로고
    • What Every Computer Scientist Should Know about Floating-Point Arithmetic
    • Mar
    • D. Goldberg, "What Every Computer Scientist Should Know about Floating-Point Arithmetic," ACM Computing Surveys, vol. 23, no. 1, pp. 5-47, Mar. 1991.
    • (1991) ACM Computing Surveys , vol.23 , Issue.1 , pp. 5-47
    • Goldberg, D.1
  • 7
    • 84957799469 scopus 로고    scopus 로고
    • A Machine-Checked Theory of Floating-Point Arithmetic
    • Y. Bertot, G. Dowek, A. Hirschowitz, C. Paulin, and L. Théry, eds, pp, Sept
    • J. Harrison, "A Machine-Checked Theory of Floating-Point Arithmetic," Proc. 12th Int'l Conf. Theorem Proving in Higher Order Logics, Y. Bertot, G. Dowek, A. Hirschowitz, C. Paulin, and L. Théry, eds., pp. 113-130, Sept. 1999.
    • (1999) Proc. 12th Int'l Conf. Theorem Proving in Higher Order Logics , pp. 113-130
    • Harrison, J.1
  • 13
    • 0025228329 scopus 로고
    • Computation of Elementary Functions on the IBM Risc System/6000 Processor
    • Jan
    • P.W. Markstein, "Computation of Elementary Functions on the IBM Risc System/6000 Processor," IBM J. Research and Development, vol. 34, no. 1, pp. 111-119, Jan. 1990.
    • (1990) IBM J. Research and Development , vol.34 , Issue.1 , pp. 111-119
    • Markstein, P.W.1
  • 14
    • 33749583441 scopus 로고    scopus 로고
    • On the Definition of ulp(x)
    • Technical Report, LIP Laboratory, ENS Lyon, 2005
    • J.-M. Muller, "On the Definition of ulp(x)," Technical Report 2005-09, LIP Laboratory, ENS Lyon, ftp://ftp.ens-lyon.fr/pub/LIP/ Rapports/RR/RR2005/RR2005-09.pdf, 2005.
    • (2009)
    • Muller, J.-M.1
  • 16
    • 38349049706 scopus 로고    scopus 로고
    • O. Perron, Die Lehre von den Kettenbrüchen, 3. verb. und erweiterte Aufl., pp. 1954-1957. Teubner,
    • O. Perron, Die Lehre von den Kettenbrüchen, 3. verb. und erweiterte Aufl., pp. 1954-1957. Teubner,


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.