Accurate Math Functions on the Intel IA-32 Architecture: A Performance-Driven Design, 7th Conference on Real Numbers and Computers, pp.93-105, 2006. ,
Modified FMA for exact low precision product accumulation, 24th IEEE Symposium on Computer Arithmetic (ARITH-24), 2017. ,
Farhad Merchant, and Rainer Leupers, 36th International Conference on Computer Design, 2018. ,
Towards the Post-Ultimate libm, 17th IEEE Symposium on Computer Arithmetic (ARITH-17, pp.288-295, 2005. ,
Fast and Correctly Rounded Logarithms in Double-Precision, Theoretical Informatics and Applications, vol.41, pp.85-102, 2007. ,
Fast Reproducible Floating-Point Summation, 21th IEEE Symposium on Computer Arithmetic (ARITH-21, pp.163-172, 2013. ,
On error analysis in arithmetic with varying relative precision, 8th Symposium on Computer Arithmetic (ARITH), 1987. ,
, Accuracy and Stability of Numerical Algorithms, 2002.
Rethinking floating point for deep learning, 2018. ,
On the computation of correctly-rounded sums, 19th IEEE Symposium on Computer Arithmetic (ARITH-19), 2009. ,
How to Ensure a Faithful Polynomial Evaluation with the Compensated Horner Algorithm, 18th IEEE Symposium on Computer Arithmetic (ARITH-18, pp.141-149, 2007. ,
Universal Coding of the Reals: Alternatives to IEEE Floating Point, CoNGA, Conference on Next Generation Arithmetic, 2018. ,
IA-64 and Elementary Functions: Speed and Precision, 2000. ,
An overflow/underflow free floating-point representation of numbers, Journal of Information Processing, vol.4, pp.123-133, 1981. ,
Quasi double-precision in floating point addition, BIT Numerical Mathematics, vol.5, pp.37-50, 1965. ,
Elementary functions, algorithms and implementation, 2016. ,
URL : https://hal.archives-ouvertes.fr/ensl-00000008
, Handbook of Floating-Point Arithmetic, 2018.
URL : https://hal.archives-ouvertes.fr/ensl-00379167
Hardware Implementation of POSITs and Their Application in FPGAs, International Parallel and Distributed Processing Symposium Workshops (IPDPSW), pp.138-145, 2018. ,
Error estimation of floating-point summation and dot product, BIT Numerical Mathematics, vol.52, pp.201-220, 2012. ,
Accurate Floating-Point Summation Part I: Faithful Rounding, SIAM Journal on Scientific Computing, vol.31, pp.189-224, 2008. ,
Accurate Floating-point Summation Part II: Sign, K-fold Faithful and Rounding to Nearest, SIAM Journal on Scientific Computing, vol.31, pp.1269-1302, 2008. ,
Is Dark Silicon Useful? Harnessing the Four Horsemen of the Coming Dark Silicon Apocalypse, Design Automation Conference, 2012. ,