메뉴 건너뛰기




Volumn 49, Issue 7, 2000, Pages 628-637

Reciprocation, square root, inverse square root, and some elementary functions using small multipliers

Author keywords

Exponential; Inverse square root; Logarithm; Reciprocal; Single double precision operations; Small multipliers; Square root; Taylor series

Indexed keywords

ADDERS; ALGORITHMS; APPROXIMATION THEORY; CALCULATIONS; FUNCTION EVALUATION; ITERATIVE METHODS;

EID: 0034215449     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/12.863031     Document Type: Article
Times cited : (104)

References (16)
  • 2
    • 0019683672 scopus 로고
    • High Bandwidth Evaluation of Elementary Functions
    • K.S. Trivedi and D.E. Atkins, eds.
    • P.M. Farmwald, "High Bandwidth Evaluation of Elementary Functions," Proc. Fifth IEEE Symp. Computer Arithmetic, K.S. Trivedi and D.E. Atkins, eds., 1981.
    • (1981) Proc. Fifth IEEE Symp. Computer Arithmetic
    • Farmwald, P.M.1
  • 3
    • 0029227053 scopus 로고
    • Function Evaluation by Table Look-Up and Addition
    • S. Knowles and W. McAllister, eds., July
    • H. Hassler and N. Takagi, "Function Evaluation by Table Look-Up and Addition," Proc. 12th IEEE Symp. Computer Arithmetic, S. Knowles and W. McAllister, eds., pp. 10-16, July 1995.
    • (1995) Proc. 12th IEEE Symp. Computer Arithmetic , pp. 10-16
    • Hassler, H.1    Takagi, N.2
  • 4
    • 0032638536 scopus 로고    scopus 로고
    • On Infinitely Precise Roundings for Division, Square-Root, Reciprocal and Square-Root Reciprocal,"
    • C. Iordache and D.W. Matula, "On Infinitely Precise Roundings for Division, Square-Root, Reciprocal and Square-Root Reciprocal," Proc. 14th IEEE Symp. Computer Arithmetic, pp. 233-240, 1999.
    • (1999) Proc. 14th IEEE Symp. Computer Arithmetic , pp. 233-240
    • Iordache, C.1    Matula, D.W.2
  • 5
    • 0029239024 scopus 로고
    • Efficient Initial Approximation and Fast Converging Methods for Division and Square Root
    • S. Knowles and W. McAllister, eds., July
    • M. Ito, N. Takagi, and S. Yajima, "Efficient Initial Approximation and Fast Converging Methods for Division and Square Root," Proc. 12th IEEE Symp. Computer Arithmetic, S. Knowles and W. McAllister, eds., pp. 2-9, July 1995.
    • (1995) Proc. 12th IEEE Symp. Computer Arithmetic , pp. 2-9
    • Ito, M.1    Takagi, N.2    Yajima, S.3
  • 6
    • 0029223308 scopus 로고
    • High-Speed Double Precision Computation of Nonlinear Functions
    • S. Knowles and W. McAllister, eds., July
    • V.K. Jain and L. Lin, "High-Speed Double Precision Computation of Nonlinear Functions," Proc. 12th IEEE Symp. Computer Arithmetic, S. Knowles and W. McAllister, eds., pp. 107-114, July 1995.
    • (1995) Proc. 12th IEEE Symp. Computer Arithmetic , pp. 107-114
    • Jain, V.K.1    Lin, L.2
  • 7
    • 0032205291 scopus 로고    scopus 로고
    • Towards Correctly Rounded Transcendentals
    • Nov.
    • V. Lefèvre, J.M. Muller, and A. Tisserand, "Towards Correctly Rounded Transcendentals," IEEE Trans. Computers, vol. 47, no. 11, pp. 1,235-1,243, Nov. 1998.
    • (1998) IEEE Trans. Computers , vol.47 , Issue.11
    • Lefèvre, V.1    Muller, J.M.2    Tisserand, A.3
  • 9
    • 0031343895 scopus 로고    scopus 로고
    • Division Algorithms and Implementations
    • Aug.
    • S.F. Oberman and M.J. Flynn, "Division Algorithms and Implementations," IEEE Trans. Computers, vol. 46, no. 8, pp. 833-854, Aug. 1997.
    • (1997) IEEE Trans. Computers , vol.46 , Issue.8 , pp. 833-854
    • Oberman, S.F.1    Flynn, M.J.2
  • 10
    • 0029224227 scopus 로고
    • Faithful Bipartite ROM Reciprocal Tables
    • S. Knowles and W. McAllister, eds., July
    • D.D. Sarma and D.W. Matula, "Faithful Bipartite ROM Reciprocal Tables," Proc. 12th IEEE Symp. Computer Arithmetic, S. Knowles and W. McAllister, eds., pp. 17-28, July 1995.
    • (1995) Proc. 12th IEEE Symp. Computer Arithmetic , pp. 17-28
    • Sarma, D.D.1    Matula, D.W.2
  • 11
    • 0030660020 scopus 로고    scopus 로고
    • Symmetric Bipartite Tables for Accurate Function Approximation
    • T. Lang, J.M. Muller, and N. Takagi, eds.
    • M. Schulte and J. Stine, "Symmetric Bipartite Tables for Accurate Function Approximation," Proc. 13th IEEE Symp. Computer Arithmetic, T. Lang, J.M. Muller, and N. Takagi, eds., 1997.
    • (1997) Proc. 13th IEEE Symp. Computer Arithmetic
    • Schulte, M.1    Stine, J.2
  • 12
    • 0026171455 scopus 로고
    • Table Lookup Algorithms for Elementary Functions and Their Error Analysis
    • P. Kornerup and D.W. Matula, eds., June
    • P.T.P. Tang, "Table Lookup Algorithms for Elementary Functions and Their Error Analysis," Proc. 10th IEEE Symp. Computer Arithmetic, P. Kornerup and D.W. Matula, eds., pp. 232-236, June 1991.
    • (1991) Proc. 10th IEEE Symp. Computer Arithmetic , pp. 232-236
    • Tang, P.T.P.1
  • 13
    • 0028385784 scopus 로고
    • Fast Hardware-Based Algorithms for Elementary Function Computations Using Rectangular Multipliers
    • Mar.
    • W.F. Wong and E. Goto, "Fast Hardware-Based Algorithms for Elementary Function Computations Using Rectangular Multipliers," IEEE Trans. Computers, vol. 43, pp. 278-294, Mar. 1994.
    • (1994) IEEE Trans. Computers , vol.43 , pp. 278-294
    • Wong, W.F.1    Goto, E.2
  • 14
    • 0029273921 scopus 로고
    • Fast Evaluation of the Elementary Functions in Single Precision
    • Mar.
    • W.F. Wong and E. Goto, "Fast Evaluation of the Elementary Functions in Single Precision," IEEE Trans. Computers, vol. 44, no. 3, pp. 453-457, Mar. 1995.
    • (1995) IEEE Trans. Computers , vol.44 , Issue.3 , pp. 453-457
    • Wong, W.F.1    Goto, E.2
  • 15
    • 0000015662 scopus 로고    scopus 로고
    • Very High Radix Square Root with Prescaling and Rounding and a Combined Division/Square Root Unit
    • Aug.
    • T. Lang and P. Montuschi, "Very High Radix Square Root with Prescaling and Rounding and a Combined Division/Square Root Unit," IEEE Trans. Computers, vol. 48, no. 8, pp. 827-841, Aug. 1999.
    • (1999) IEEE Trans. Computers , vol.48 , Issue.8 , pp. 827-841
    • Lang, T.1    Montuschi, P.2
  • 16
    • 0031997451 scopus 로고    scopus 로고
    • Computation of √x/d in a Very High Radix Combined Division/Square-Root Unit with Scaling
    • Feb.
    • E. Antelo, T. Lang, and J.D. Bruguera, "Computation of √x/d in a Very High Radix Combined Division/Square-Root Unit with Scaling," IEEE Trans. Computers, vol. 47, no. 2, pp. 152-161, Feb. 1998.
    • (1998) IEEE Trans. Computers , vol.47 , Issue.2 , pp. 152-161
    • Antelo, E.1    Lang, T.2    Bruguera, J.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.