New scalar and vector elementary functions for the IBM system/370, IBM Journal of Research and Development, vol.30, issue.2, pp.1266-144, 1986. ,

, American National Standards Institute and Institute of Electrical and Electronic Engineers. IEEE standard for binary oating-point arithmetic. ANSI/IEEE Standard, pp.754-1985, 1985.

Essentials of Padd approximants, 1975. ,

Three distance theorems and combinatorics on words, 1997. ,

Fast multiple precision evaluation of elementary functions, Journal of the ACM, vol.23, p.2422251, 1976. ,

Rounding of oating-point i n tervals, Proceedings of SCAN-93, 1993. ,

Modular range reduction: A new algorithm for fast and accurate computation of the elementary functions, Journal of Universal Computer Science, vol.1, issue.3, p.1622175, 1995. ,

A class of algorithms for automatic evaluation of functions and computations in a digital computer, 1970. ,

Feasibility of perfectt function evaluation, SIGNUM Newsletter, vol.25, issue.4, p.25526, 1990. ,

An accurate elementary mathematical library for the IEEE oating point standard, ACM Transactions on Mathematical Software, vol.17, issue.1, p.26645, 1991. ,

What every computer scientist should know about oatingpoint arithmetic, ACM Computing Surveys, vol.23, issue.1, p.5547, 1991. ,

DOI : 10.1145/103162.103163

Minimizing q*m-n, 1983. ,

Lecture notes on the status of IEEE-754, 1996. ,

The Art of Computer Programming, 1973. ,

An algorithm that computes a lower bound on the distance between a segment and z 2, 1997. ,

Towards exact rounding of the elementary functions, Scientiic Computing and Validated Numerics (Proceedings of SCAN'95), 1996. ,

Elementary Functions, Algorithms and Implementation, 1997. ,

URL : https://hal.archives-ouvertes.fr/ensl-00000008

On the approximation of the values of exponential function and logarithm by algebraic numbers (in Russian), Mat. Zapiski, vol.2, p.23342, 1996. ,

Radian reduction for trigonometric functions, SIGNUM Newsletter, vol.18, 1983. ,

DOI : 10.1145/1057600.1057602

Exact rounding of certain elementary functions, Proceedings of the 11th IEEE Symposium on Computer Arithmetic, p.1388145, 1993. ,

Hardware designs for exactly rounded elementary functions, IEEE Transactions on Computers, vol.43, issue.8, p.9644973, 1994. ,

DOI : 10.1109/12.295858

A continued-fraction analysis of trigonometric argument r eduction, IEEE Transactions on Computers, vol.44, issue.11, p.134881351, 1995. ,

Fast evaluation of elementary mathematical functions with correctly rounded last bit, ACM Transactions on Mathematical Software, vol.17, issue.3, pp.4100-423, 1991. ,

More on squaring and multiplying large integers, IEEE Transactions on Computers, vol.43, issue.8, p.8999908, 1994. ,