[1] Jiangwei Hao, Jinchen Xu, Shaozhong Guo, and YuanYuan Xia. Design of variable precision transcendental function automatic generator. The Journal of Supercomputing, 2021. [ bib | http ]
Keywords: sin, cos, tan, asin, acos, atan, exp, exp10, exp2, ln, log10, log2, sinh, cosh, tanh, asinh, acosh, atanh
[2] Fredrik Johansson. Efficient implementation of elementary functions in the medium-precision range. In 22nd IEEE Symposium on Computer Arithmetic, 2015. [ bib ]
Keywords: multiple precision, exp, log, sincos, atan
[3] Florent de Dinechin, Pedro Echeverría, Marisa López-Vallejo, and Bogdan Pasca. Floating-point exponentiation units for reconfigurable computing. ACM Transactions on Reconfigurable Technology and Systems, 6(1), 2013. [ bib | http | .pdf ]
Keywords: exp, log, pow, fixed-point, hardware, fpga
[4] Florent de Dinechin and Bogdan Pasca. Floating-point exponential functions for DSP-enabled FPGAs. In Field Programmable Technologies, pages 110--117, December 2010. [ bib | http | .pdf ]
Keywords: exp, fixed-point, hardware, fpga
[5] Richard P. Brent and Paul Zimmermann. Modern Computer Arithmetic. Cambridge University Press, 2010. [ bib | .pdf ]
Keywords: textbook,multiple precision, division, sqrt, exp, log, sincos, tan
[6] Toshio Fukushima. Fast computation of complete elliptic integrals and Jacobian elliptic functions. Celestial Mechanics and Dynamical Astronomy, 105(4):305--328, 2009. [ bib | DOI | http ]
Keywords: complete elliptic integrals, Jacobian elliptic functions, nome expansion, Innes’ method, Encke’s method, special functions
[7] Catherine Daramy-Loirat, David Defour, Florent de Dinechin, Matthieu Gallet, Nicolas Gast, Christoph Lauter, and Jean-Michel Muller. CR-LIBM A library of correctly rounded elementary functions in double-precision. Research report, LIP, December 2006. https://hal-ens-lyon.archives-ouvertes.fr/ensl-01529804. [ bib | .pdf ]
Keywords: correct rounding, algorithms, exp, log, pow, exp10, log10
[8] David Harris. An exponentiation unit for an OpenGL lighting engine. Transactions on Computers, 53(3):251--258, March 2004. [ bib | DOI ]
Keywords: IEEE single-precision floating-point format; OpenGL hardware acceleration; OpenGL lighting engine; bipartite table; computer arithmetic; exponentiation unit; floating-point color component; geometry pipeline lighting stage; inverse log table; logarithm lookup table; table complexity; computational complexity; floating point arithmetic; pipeline arithmetic; software standards; table lookup;
[9] R.-C. Li, P. Markstein, J. P. Okada, and J. W. Thomas. The libm library and floating-point arithmetic for HP-UX on Itanium. Technical report, Hewlett-Packard company, april 2001. [ bib ]
Keywords: exp,log,pow,sin,atan,lowlevel
[10] Marc Daumas and Claire Moreau-Finot. Exponential: implementation trade-offs for hundred bit precision. In Real Numbers and Computers, pages 61--74, Dagstuhl, Germany, 2000. [ bib ]
Keywords: exp, multiple precision
[11] John Harrison. Floating point verification in HOL light: The exponential function. In Algebraic Methodology and Software Technology, pages 246--260, 1997. [ bib | .html ]
Keywords: formal proof, exp
[12] W. F. Wong and E. Goto. Fast evaluation of the elementary functions in single precision. IEEE Transactions on Computers, 44(3):453--457, March 1995. [ bib ]
Keywords: Add-Table Lookup-Add, ATA, hardware, division, sqrt, log, exp, sin, cos, atan
[13] W. F. Wong and E. Goto. Fast hardware-based algorithms for elementary function computations using rectangular multipliers. IEEE Transactions on Computers, 43(3):278--294, March 1994. [ bib ]
Keywords: hardware, division, log, sqrt, exp, atan, atan2, sin, cos
[14] W. F. Wong and E. Goto. Fast evaluation of the elementary functions in double precision. In Twenty-Seventh Annual Hawaii International Conference on System Sciences, pages 349--358, 1994. [ bib ]
Keywords: Add-Table Lookup-Add-Multiply, ATA-M, hardware, division, square root, exp, sin, cos, log, atan, sinh, cosh
[15] I. Koren. Computer arithmetic algorithms. Prentice-Hall, 1993. [ bib ]
Keywords: textbook, accuracy control,addition,cordic,division,elementary functions,exponential,floating-point arithmetic,logarithm,multiplication,number systems,redundant number systems,residue number systems,shift-and-add algorithms,square root,survey on computer arithmetic,trigonometric functions
[16] A. Ziv. Fast evaluation of elementary mathematical functions with correctly rounded last bit. ACM Transactions on Mathematical Software, 17(3):410--423, September 1991. [ bib ]
Keywords: correct rounding, exp
[17] Schmuel Gal and Boris Bachelis. An accurate elementary mathematical library for the IEEE floating point standard. ACM Transactions on Mathematical Software, 17(1):26--45, March 1991. [ bib ]
Keywords: algorithms, exp, log, sin, cos, tan, cotan, atan, atan2, sinh, cosh
[18] Ping Tak Peter Tang. Table-driven implementation of the exponential function in IEEE floating-point arithmetic. ACM Transactions on Mathematical Software, 15(2):144--157, June 1989. [ bib ]
Keywords: exp
[19] Richard P. Brent. A Fortran multiple-precision arithmetic package. ACM Transactions on Mathematical Software, 4(1):57–70, March 1978. [ bib | .html ]
Keywords: multiple precision, exp, log, atan
[20] Richard P. Brent. Fast multiple precision evaluation of elementary functions. Journal of the ACM, 23:242–251, 1976. [ bib | .html ]
Keywords: multiple precision, exp, log, sincos, atan, sinh
[21] Richard P. Brent. The complexity of multiple-precision arithmetic. In R. S. Anderssen and R. P. Brent, editors, The Complexity of Computational Problem Solving, page 126–165, Brisbane, Australia, 1976. [ bib | .html ]
Keywords: multiple precision, exp, log, sincos, atan, sinh

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