V. Lefèvre, J. Muller, and A. Tisserand, The table maker's dilemma, Ecole normale supérieure de Lyon, 1998.

D. Dassarma and D. W. Matula, Faithful bipartite ROM reciprocal tables, Proc. 12th IEEE Symposium on Computer Arithmetic, pp.17-28, 1995.

F. De-dinechin and A. Tisserand, Multipartite table methods, IEEE Transactions on Computers, vol.54, issue.3, pp.319-330, 2005.
DOI : 10.1109/TC.2005.54

URL : https://hal.archives-ouvertes.fr/ensl-00542210

D. Defour, F. De-dinechin, and J. Muller, A new scheme for tablebased evaluation of functions, 36th Asilomar Conference on Signals, Systems, and Computers, pp.1608-1613, 2002.
URL : https://hal.archives-ouvertes.fr/inria-00071948

A. Ziv, 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

J. Muller, Elementary functions -algorithms and implementation, 2006.
URL : https://hal.archives-ouvertes.fr/ensl-00000008

V. Lefevre, Hardest-to-round cases, ENS Lyon, Tech. Rep, 2010.

P. T. Tang, 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

D. E. Knuth, The Art of Computer Programming): Seminumerical Algorithms, 1997.

D. Defour, Cache-optimised methods for the evaluation of elementary functions, 2002.

S. Gal, Computing elementary functions: A new approach for achieving high accuracy and good performance, Accurate Scientific Computations: Symposium: Proceedings , ser. Lecture Notes in Computer Science, pp.1-16, 1985.
DOI : 10.1007/3-540-16798-6_1

S. Gal and B. Bachelis, An accurate elementary mathematical library for the IEEE floating point standard, ACM Transactions on Mathematical Software, vol.17, issue.1, pp.26-45, 1991.
DOI : 10.1145/103147.103151

D. Stehlé and P. Zimmermann, Gal's Accurate Tables Method Revisited, 17th IEEE Symposium on Computer Arithmetic (ARITH'05), pp.257-26424, 2005.
DOI : 10.1109/ARITH.2005.24

N. Brisebarre, M. D. Ercegovac, and J. Muller, (M, p, k)-Friendly Points: A Table-Based Method for Trigonometric Function Evaluation, 2012 IEEE 23rd International Conference on Application-Specific Systems, Architectures and Processors, pp.46-52, 2012.
DOI : 10.1109/ASAP.2012.17

URL : https://hal.archives-ouvertes.fr/ensl-00759912

D. Wang, J. Muller, N. Brisebarre, and M. D. Ercegovac, (M, p, k)-friendly points: A table-based method to evaluate trigonometric function, IEEE Trans. on Circuits and Systems, issue.9, pp.61-711, 2014.
URL : https://hal.archives-ouvertes.fr/ensl-01001673

F. J. Barning, On pythagorean and quasi-pythagorean triangles and a generation process with the help of unimodular matrices, Dutch) Math. Centrum Amsterdam Afd. Zuivere Wisk. ZW-001, 1963.

H. L. Price, The pythagorean tree: A new species, 2008.

A. Fässler, Multiple Pythagorean Number Triples, The American Mathematical Monthly, vol.98, issue.6, pp.505-517, 1991.
DOI : 10.2307/2324870

J. R. Shewchuk, Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates, Discrete & Computational Geometry, vol.18, issue.3, pp.305-363, 1997.
DOI : 10.1007/PL00009321

C. Q. Lauter, Basic building blocks for a triple-double intermediate format Available: http://hal.inria.fr/inria-00070314, 2005.