Standard 754-1985 for binary floating-point arithmetic, 1985. ,
Preuves formelles en arithmétiques à virgule flottante, 2004. ,
Towards the Post-Ultimate libm, 17th IEEE Symposium on Computer Arithmetic (ARITH'05), 2005. ,
DOI : 10.1109/ARITH.2005.46
URL : https://hal.archives-ouvertes.fr/inria-00070636
Fast and correctly rounded logarithms in double-precision, RAIRO - Theoretical Informatics and Applications, vol.41, issue.1, pp.85-102, 2007. ,
DOI : 10.1051/ita:2007003
URL : https://hal.archives-ouvertes.fr/inria-00070331
Convergence Estimates for the Distribution of Trailing Digits, Journal of the ACM, vol.23, issue.2, pp.287-297, 1976. ,
DOI : 10.1145/321941.321948
MPFR, ACM Transactions on Mathematical Software, vol.33, issue.2, 2007. ,
DOI : 10.1145/1236463.1236468
URL : https://hal.archives-ouvertes.fr/inria-00070266
An introduction to the theory of numbers, Bulletin of the American Mathematical Society, vol.35, issue.6, 1979. ,
DOI : 10.1090/S0002-9904-1929-04793-1
Computing Integer Powers in Floating-Point Arithmetic, 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers, 2007. ,
DOI : 10.1109/ACSSC.2007.4487226
URL : https://hal.archives-ouvertes.fr/ensl-00150406
New Results on the Distance between a Segment and Z??. Application to the Exact Rounding, 17th IEEE Symposium on Computer Arithmetic (ARITH'05), pp.68-75, 2005. ,
DOI : 10.1109/ARITH.2005.32
Worst cases for correct rounding of the elementary functions in double precision, Proceedings 15th IEEE Symposium on Computer Arithmetic. ARITH-15 2001, pp.111-118, 2001. ,
DOI : 10.1109/ARITH.2001.930110
Using de Bru?n sequences to index a 1 in a computer word ,
The MPFR library: Algorithms and proofs. algorithms.tex File -revision 4629) -available in SVN repository from http, 2007. ,
Elementary Functions, Algorithms and Implementation, 1997. ,
URL : https://hal.archives-ouvertes.fr/ensl-00000008
Searching worst cases of a one-variable function using lattice reduction, IEEE Transactions on Computers, vol.54, issue.3, pp.340-346, 2005. ,
DOI : 10.1109/TC.2005.55
Fast evaluation of elementary mathematical functions with correctly rounded last bit, ACM Transactions on Mathematical Software, vol.17, issue.3, pp.410-423, 1991. ,
DOI : 10.1145/114697.116813