[1] Julien Le Maire, Nicolas Brunie, Florent de Dinechin, and Jean-Michel Muller. Computing floating-point logarithms with fixed-point operations. In 23rd Symposium of Computer Arithmetic, July 2016. [ bib | http | http ]
Keywords: log, correct rounding, low level
[2] Guillaume Revy. Automated design of floating-point logarithm functions on integer processors. In 23rd Symposium of Computer Arithmetic, July 2016. [ bib | http | .pdf ]
Keywords: log, correct rounding, low level
[3] Bogdan Pasca. Single precision natural logarithm architecture for hard floating-point and DSP-enabled FPGAs. In 23rd Symposium of Computer Arithmetic, July 2016. [ bib ]
Keywords: log, fpga
[4] 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
[5] 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
[6] 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
[7] Florent de Dinechin, Christoph Lauter, and Jean-Michel Muller. Fast and correctly rounded logarithms in double-precision. RAIRO - Theoretical Informatics and Applications, 41(1):85--102, 4 2007. [ bib ]
Keywords: correct rounding, log
[8] 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
[9] C. S. Anderson, Shane Story, and Nikita Astafiev. Accurate math functions on the Intel IA-32 architecture: A performance-driven design. In 7th Conference on Real Numbers and Computers, pages 93--105, 2006. [ bib ]
Keywords: low-level optimization, libm, log, cos
[10] 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;
[11] 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
[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] 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
[17] Ping Tak Peter Tang. Table-driven implementation of the logarithm function in IEEE floating-point arithmetic. ACM Transactions on Mathematical Software, 16(4):378 -- 400, December 1990. [ bib ]
Keywords: log
[18] 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
[19] 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
[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

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