Interactive Theorem Proving and Program Development. Coq'Art: the Calculus of Inductive Constructions. Texts in Theoretical Computer Science, 2004. ,
DOI : 10.1007/978-3-662-07964-5
URL : https://hal.archives-ouvertes.fr/hal-00344237
Scientific Computing on Itanium-based Systems, 2002. ,
Generating formally certified bounds on values and round-off errors, 6th Conference on Real Numbers and Computers, pp.55-70, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00070739
Cache-optimised methods for the evaluation of elementary functions, 2002. ,
Software carry-save: A case study for instruction-level parallelism, Seventh International Conference on Parallel Computing Technologies, 2003. ,
Fast correct rounding of elementary functions in double precision using double-extended arithmetic, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00071446
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
A proven correctly rounded logarithm in doubleprecision, RNC6, Real Numbers and Computers, 2004. ,
Collapsing dependent floating point operations, 2004. ,
SOFTWARE CARRY-SAVE FOR FAST MULTIPLE-PRECISION ALGORITHMS, Mathematical Software, 2002. ,
DOI : 10.1142/9789812777171_0004
Correctly rounded exponential function in double precision arithmetic, Advanced Signal Processing Algorithms, Architectures, and Implementations X (SPIE'2000), 2001. ,
URL : https://hal.archives-ouvertes.fr/inria-00072387
A floating-point technique for extending the available precision, Numerische Mathematik, vol.5, issue.3, pp.224-242, 1971. ,
DOI : 10.1007/BF01397083
High bandwidth evaluation of elementary functions, 1981 IEEE 5th Symposium on Computer Arithmetic (ARITH), 1981. ,
DOI : 10.1109/ARITH.1981.6159271
Computing elementary functions: A new approach for achieving high accuracy and good performance, Accurate Scientific Computations, pp.1-16, 1986. ,
DOI : 10.1007/3-540-16798-6_1
What every computer scientist should know about floating-point arithmetic, ACM Computing Surveys, vol.23, issue.1, pp.5-47, 1991. ,
DOI : 10.1145/103162.103163
FI LIB, eine schnelle und portable Funktionsbibliothek für reelle Argumente und reelle Intervalle im IEEE-double-Format, 1998. ,
(E) Programming languages ? C, International Standard ISOIEC, vol.9899, p.1999, 1999. ,
C-XSC a C++ class library for extended scientific computing, 1993. ,
Moyens arithmétiques pour un calcul fiable, 2000. ,
Worst cases for correct rounding of the elementary functions in double precision, Proceedings 15th IEEE Symposium on Computer Arithmetic. ARITH-15 2001, 2004. ,
DOI : 10.1109/ARITH.2001.930110
Toward correctly rounded transcendentals, IEEE Transactions on Computers, vol.47, issue.11, pp.1235-1243, 1998. ,
DOI : 10.1109/12.736435
IA-64 and Elementary Functions: Speed and Precision. Hewlett-Packard Professional Books, 2000. ,
Interval analysis, 1966. ,
Elementary Functions, Algorithms and Implementation, 1997. ,
URL : https://hal.archives-ouvertes.fr/ensl-00000008
Table-lookup algorithms for elementary functions and their error analysis, [1991] Proceedings 10th IEEE Symposium on Computer Arithmetic, pp.232-236, 1991. ,
DOI : 10.1109/ARITH.1991.145565
URL : http://www.osti.gov/scitech/servlets/purl/6133932
Fast hardware-based algorithms for elementary function computations using rectangular multipliers, IEEE Transactions on Computers, vol.43, issue.3, pp.278-294, 1994. ,
DOI : 10.1109/12.272429
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