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@TechReport{AMDoptim2001,
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@ARTICLE{Brent78,
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@ARTICLE{DM94,
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@ARTICLE{Bailey95,
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@Misc{GMPweb,
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@Misc{MPFRweb,
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@Misc{IBMlibultimweb,
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@Misc{FDLIBMweb,
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@Misc{IntelOpenSource,
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@ARTICLE{DauFin99a,
        AUTHOR             = {Marc Daumas and Claire Finot},
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@INPROCEEDINGS{DauMor2K,
        AUTHOR             = {Marc Daumas and Claire Moreau-Finot},
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}



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        PAGES              = {224-242},
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        YEAR               = {1971},
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        YEAR               = {1997},
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        AUTHOR             = {Wong, W.F. and Goto, E.},
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        PAGES              = {453--457},
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@Book{Parhami2000,
  author =       {Parhami, B.},
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 VOLUME =	 {49},
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  year =         2001,
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@InProceedings{CaoWeiCheng2001,
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  year =         2001,
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  month =        Jun
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@InProceedings{Pineiro2001b,
  author = {Pi\~neiro, J.A. and Bruguera, J.D. and Muller, J.-M.},
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  booktitle =    {EuroMicro DSD},
  year =         2001,
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@InProceedings{Bailey2001,
  author = {Hida, Yozo and Li, Xiaoye S. and Bailey, David H.},
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  year =         2001,
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@inproceedings{Lee2002,
  author =       {Lee, B. and Burgess, N.},
  title =        {Parameterisable Floating-Point Operators on {FPGA}s},
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  year =         2002
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@InProceedings{Pineiro2001b,
  author = {Pi\~neiro, J. A. and Bruguera, J. D. and Muller, J.-M.},
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for  Powering Function Computation},
  booktitle =    {EuroMicro DSD},
  year =         2001,
  address =      {Warszawa, Poland}
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@InProceedings{Liddicoat2001,
  author = {Liddicoat, A. A.  and Flynn,  M. J. },
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  year =         2001,
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@PhdThesis{liddicoat-thesis,
  author = 	 {Liddicoat, A.A.},
  title = 	 {High-performance arithmetic for division and the elementary functions},
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@Misc{Briggs2002,
  author = {Briggs, K.},
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@InProceedings{MencerBoullisLukStyles2001,
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@InProceedings{Matousek2002,
  author = {R. Matou\v sek and M. Tich\' y and Z. Pohl and J. Kadlec and C. Softley and N. Coleman},
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@InProceedings{Arnold2002,
  author = {M. Arnold},
  title = {21st Century Slide Rules with Logarithmic Arithmetic: High-Speed, Low-Cost, Low-Power Alternative to Fixed Point Arithmetic},
  booktitle =    {Online Symposium for Electronics Engineers (\texttt{http://www.osee.net})},
  year =         2002,
  month =        Feb
}

@InProceedings{Lee2003,
  author = {B. Lee and N. Burgess},
  title = {A Dual-Path Logarithmic Number System Addition/Subtraction Scheme for {FPGA}},
  booktitle =    {Field-Programmable Logic and Applications},
  year =         2003,
  address =      {Lisbon},
  month =        Sep
}

@Article{Taylor88,
  AUTHOR =	 {Taylor, F. J. and Gill, R. and Joseph, J. and Radke, J.},
  JOURNAL =	 {IEEE Transactions on Computers},
  TITLE =	 {A 20 Bit Logarithmic Number System Processor}, 
  YEAR =	 {1988},
  MONTH =        feb, 
 VOLUME =	 {37},
  NUMBER =	 {2},
  PAGE =	 {190-199}
}

@Article{Lewis90,
  AUTHOR =	 {Lewis, D. M.},
  JOURNAL =	 {IEEE Transactions on Computers},
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  YEAR =	 {1990},
  MONTH =        nov, 
 VOLUME =	 {39},
  NUMBER =	 {11},
  PAGE =	 {1325-1336}
}


@Book{Flynn2001,
  author =       {Flynn, M. J. and Oberman, S. F.},
  title =        {Advanced Computer Arithmetic Design},
  year =         2001,
  publisher =    {Wiley-Interscience}
}


@Article{Lefevre2001,
  AUTHOR =	 {Defour, D. and Muller, J.M.},
  JOURNAL =	 {R\'eseaux et syst\`emes r\'epartis, calculateurs parall\`eles},
  TITLE =	 {\'Evaluation des fonctions \'el\'ementaires}, 
  YEAR =	 {2001},
 VOLUME =	 {13},
  NUMBER =	 {4-5},
  PAGE =	 {449-464}
}

@book{Markstein2000,
	author = {P. Markstein},
	title = {{IA-64} and Elementary Functions : Speed and Precision},
	publisher = {Prentice Hall},
	year = {2000},
	series = {Hewlett-Packard Professional Books},
	note = {ISBN: 0130183482}
}



@Book{CorneaHarrisonTang2002,
  author =	 {M. Cornea and J. Harrison and Tang, P.T.P},
  title = 	 {Scientific Computing on Itanium-based Systems},
  publisher = 	 {Intel Press},
  year = 	 2002
}

@Misc{IEEE754,
  author =	 {ANSI/IEEE},
  title =	 {Standard  754-1985 for Binary Floating-Point Arithmetic},
  year =	 1985
}


@BOOK{KKLRW93,
        AUTHOR             = {Klatte, R. and Kulisch, U. and Lawo, C. and Rauch, M. and Wiethoff, A.},
        PUBLISHER          = {Springer Verlag},
        TITLE              = {{C-XSC a C++ class library for extended scientific computing}},
        YEAR               = {1993}
}

@BOOK{Moore66,
        AUTHOR             = {Moore, R.E.},
        PUBLISHER          = {Prentice Hall},
        TITLE              = {Interval analysis},
        YEAR               = {1966}
}

@book{ErcegovacLang2003,
        author={Ercegovac, M. D. and Lang, T.},
        title={Digital Arithmetic},
        publisher={Morgan Kaufmann},
        year= 2003
}

@Article{Vassiliadis2000,
  author = 	 {S. Vassiliadis and M. Zhang and Delgado-Frias, J. G. },
  title = 	 {Elementary Function Generators for Neural-Network Emulators},
  journal = 	 {{IEEE} transactions on neural networks},
  year = 	 2000,
  volume =	 11,
  number =	 6,
  pages =	 {1438-1449},
  month =	 {nov}
}


@InProceedings{LeeLuk2003,
  author = 	 {Lee, D-U and W. Luk and J. Villasenor and P. Cheung},
  title = 	 {Hierarchical Segmentation Schemes for Function Evaluation},
  booktitle =	 {{IEEE} Conference on Field-Programmable Technology},
  year =	 2003,
  address =	 {Tokyo},
  month =	 {dec}
}

@book{Muller89,
  AUTHOR =	 {Muller, Jean-Michel},
  TITLE =	 {Arithm\'etique des ordinateurs, operateurs et
                  fonctions \'el\'ementaires},
  PUBLISHER =	 {Masson},
  YEAR =	 1989
}

@BOOK{Muller97,
  AUTHOR =	 {Muller, J.-M.},
  PUBLISHER =	 {Birkhauser},
  ADDRESS = {Boston},
  TITLE =	 {Elementary Functions, Algorithms and Implementation},
  YEAR =	 {1997},
  ISSN_ISBN =	 {ISBN 0-8176-3990-X}
}

@ARTICLE{Mul99,
  author =	 {Muller, J.-M. },
  year =	 1999,
  title =	 {A Few Results on Table-Based Methods},
  journal =	 {Reliable Computing},
  volume =	 5,
  number =	 3,
  pages  = {279-288}
}

@ARTICLE{DefHanLefMulRevZim2004,
  AUTHOR =  {Defour, D. and Hanrot, G. and Lef\`evre, V. and Muller, J.-M. and Revol, N. and Zimmermann, P.},
  JOURNAL = {Numerical algorithms},
  VOLUME = 37, 
  NUMBER = {1-4},
  PAGES = {367-375},
  TITLE = {Proposal for a Standardization of Mathematical function Implementations in Floating-Point Arithmetic},
  MONTH = jan,
  YEAR =  2004
}

@inproceedings{Boldo2001,
  author =       {Boldo, S. and Daumas, M.},
  title =        {A mechanically validated technique for extending the available precision},
  PUBLISHER =	 {IEEE Computer Society Press},
  booktitle =    {35th Asilomar Conference on Signals, Systems, and Computers},
  address =      {Pacific Grove, California},
  url =          {http://www.ens-lyon.fr/~daumas/SoftArith/BolDau01b.pdf},
  year =         2001
}

@InProceedings{LefMulTis1997a,
  AUTHOR =	 {V. Lef\`evre and Muller, J.-M.  and A. Tisserand},
  ADDRESS =	 {Asilomar, USA},
  BOOKTITLE =	 {Proceedings of the 13th IEEE Symposium on Computer
                  Arithmetic},
  PUBLISHER =	 {IEEE Computer Society Press, Los Alamitos, CA},
  TITLE =	 {Towards Correctly Rounded Transcendentals},
  YEAR =	 {1997},
  KEYWORDS =	 {table maker's dilemma,elementary
                  functions,rounding,floating-point arithmetic}
}

@TechReport{Lef1997a,
  AUTHOR =	 {V. Lef\`evre},
  TITLE =	 {An Algorithm that Computes a Lower Bound on the
                  Distance Between a Segment and $\mathbb{Z}^2$},
  ADDRESS =	 {Lyon, France},
  INSTITUTION =	 {Laboratoire de l'Informatique du Parallélisme},
  TYPE =	 rr,
  NUMBER =	 {RR1997-18},
  YEAR =	 {1997},
  KEYWORDS =	 {elementary functions,floating-point
                  arithmetic,rounding},
  ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/research_reports.us.html},
  URL =
                  {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1997/RR1997-18.ps.Z}
}

@InProceedings{ELMT98,
  author =	 {M.D. Ercegovac and T. Lang and Muller, J.-M. and
                  A. Tisserand},
  title =	 {Reciprocation, square root, inverse square root, and
                  some elementary functions using small multipliers},
  booktitle =	 {International Symposium on Optical Science,
                  Engineering and Instrumentation},
  year =	 1998,
  editor =	 {SPIE},
  month =	 jun,
  note =	 {San Diego, U.S.A}
}


@TechReport{LefMulTis1998a,
  AUTHOR =	 {V. Lef\`evre and Muller, J.-M.  and A. Tisserand},
  TITLE =	 {The Table Maker's Dilemma},
  ADDRESS =	 {Lyon, France},
  INSTITUTION =	 {Laboratoire de l'Informatique du Parallélisme},
  TYPE =	 rr,
  NUMBER =	 {RR1998-12},
  YEAR =	 {1998},
  KEYWORDS =	 {table maker's dilemma,elementary
                  functions,rounding,floating-point arithmetic},
  ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/research_reports.us.html},
  URL =
                  {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1998/RR1998-12.ps.Z}
}




@Article{ELMT2000,
  author =	 {M.D. Ercegovac and T. Lang and Muller, J.-M. and
                  A. Tisserand},
  title =	 {Reciprocation, square root, inverse square root, and
                  some elementary functions using small multipliers},
  JOURNAL =	 {{IEEE} Transactions on Computers},
  year =	 2000,
  MONTH =	 jul,
  NUMBER =	 {7},
  PAGES =	 {628--637},
  VOLUME =	 {49}
}


@Article{LefMulTis1998b,
  AUTHOR =	 {V. Lef\`evre and Muller, J.-M.  and A. Tisserand},
  JOURNAL =	 {{IEEE} Transactions on Computers},
  MONTH =	 nov,
  NUMBER =	 {11},
  PAGES =	 {1235--1243},
  TITLE =	 {Towards Correctly Rounded Transcendentals},
  VOLUME =	 {47},
  YEAR =	 {1998},
  KEYWORDS =	 {table maker's dilemma,elementary
                  functions,rounding,floating-point arithmetic}
}

@Article{MST98,
  author =	 { Muller, J.-M. and A. Scherbyna and A. Tisserand},
  title =	 {Semi-Logarithmic Number Systems},
  journal =	 {IEEE Transactions on Computers},
  year =	 1998,
  volume =	 47,
  number =	 2,
  pages =	 {145--151},
  month =	 {feb},
  annote =	 {ISSN 0018-9340}
}

@Book{RALIP99,
  author =	 {{Laboratoire d'Informatique du Parallélisme}},
  title =	 {Rapport d'activité 1999},
  publisher =	 {ENS Lyon},
  year =	 {1999},
  URL =		 {http://www.ens-lyon.fr/LIP/Rapport99-WEB/}
}
@ARTICLE{BajKlaMul94,
        AUTHOR             = {Jean-Claude Bajard and Sylvanus Kla and Jean-Michel Muller},
        JOURNAL            = {IEEE Transactions on Computers},
        NUMBER             = {8},
        PAGES              = {955-963},
        TITLE              = {{BKM}: a new hardware algorithm for complex elementary functions},
        VOLUME             = {43},
        YEAR               = {1994},
        CRINDEX            = {Non référencé}
}

@InProceedings{TMP99b,
  author =	 {A. Tisserand and P. Marchal and C. Piguet},
  title =	 {An On-Line Arithmetic based FPGA for Low-Power
                  Custom Computing},
  booktitle =	 {9th International Workshop on Field Programmable
                  Logic and Applications (FPL99)},
  pages =	 {264--273},
  year =	 1999,
  number =	 1673,
  series =	 {LNCS},
  address =	 {Denver, Colorado},
  month =	 {sep}
}

@Article{DTHL99,
  author =	 {M. Dimmler and A. Tisserand and U. Holmberg and
                  R. Longchamp},
  title =	 {On-Line Arithmetic for Real-Time Control of
                  Microsystems},
  journal =	 {IEEE/ASME Transactions on Mechatronics},
  year =	 1999,
  volume =	 4,
  number =	 2,
  pages =	 {213--217},
  month =	 {jun},
  annote =	 {ISSN 1083-4435}
}

@InCollection{Lef1999a,
  AUTHOR =	 {V. Lef\`evre},
  TITLE =	 {An Algorithm that Computes a Lower Bound on the
                  Distance Between a Segment and $\mathbb{Z}^2$},
  BOOKTITLE =	 {Developments in Reliable Computing},
  YEAR =	 {1999},
  PUBLISHER =	 {Kluwer},
  ADDRESS =	 {Dordrecht, Netherlands},
  PAGES =	 {203--212},
  KEYWORDS =	 {elementary functions,floating-point
                  arithmetic,rounding}
}

@TechReport{Lef1999b,
  AUTHOR =	 {V. Lef\`evre},
  TITLE =	 {Multiplication by an Integer Constant},
  ADDRESS =	 {Lyon, France},
  INSTITUTION =	 {Laboratoire de l'Informatique du Parallélisme},
  TYPE =	 rr,
  NUMBER =	 {RR1999-06},
  YEAR =	 {1999},
  KEYWORDS =	 {multiplication,addition chains},
  ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/research_reports.us.html},
  URL =
                  {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1999/RR1999-06.ps.Z}
}

@InProceedings{LefMul1999a,
  AUTHOR =	 {V. Lef\`evre and Muller, J.-M.},
  TITLE =	 {Table Methods for the Elementary Functions},
  BOOKTITLE =	 {Proceedings of the SPIE --- The International
                  Society for Optical Engineering},
  EDITOR =	 {F.T. Luk},
  ADDRESS =	 {Denver, Colorado},
  PAGES =	 {43--49},
  VOLUME =	 {3807},
  YEAR =	 {1999}
}

@PhDThesis{Lef2000a,
  AUTHOR =	 {V. Lef\`evre},
  TITLE =	 {Moyens arithmétiques pour un calcul fiable},
  SCHOOL =	 {École Normale Supérieure de Lyon},
  ADDRESS =	 {Lyon, France},
  YEAR =	 {2000},
  MONTH =	 jan,
  URL =          {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD2000/PhD2000-02.ps.Z}
}

@PhdThesis{Defour-thesis,
  author = 	 {Defour, David},
  title = 	 {Fonctions \'el\'ementaires: algorithmes et impl\'ementations efficaces pour
l'arrondi correct en double pr\'ecision},
  school = 	 {\'Ecole Normale Sup\'erieure de  Lyon},
  year = 	 2003,
  ADDRESS =	 {Lyon, France},
  month = sep,
  URL =          {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD2003/PhD2003-01.ps.gz}
}




@techreport{Lauter2003lip,
	author = {C. Lauter},
	title = {A correctly rounded implementation of the exponential function on the {Intel} {Itanium} architecture},
	institution = {{LIP}, \'Ecole Normale Sup\'erieure de Lyon},
	year = 2003,
	number = {2003-54},
	month = nov,
	note = {Available at ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2003/RR2003-54.ps.gz}
}




@TECHREPORT{Lauter2003inria,
author = {C.  Lauter},
title = {A correctly rounded implementation of the exponential function on the {Intel} {Itanium} architecture},
institution= {{INRIA}},
  NUMBER =	 {RR-5024},
  MONTH =	 nov,
  YEAR =	 {2003},
  note =    {Available at http://www.inria.fr/rrrt/rr-5024.html}
}

@InProceedings{BIT:spie03,
  author =	 { Beuchat, J.-L. and L. Imbert and A.
                  Tisserand},
  title =	 {Comparison of Modular Multipliers on {FPGA}s},
BOOKTITLE =	 {Proceedings of the SPIE --- The International
                  Society for Optical Engineering},
  year =	 {2003}
}

@InProceedings{BM:sympaaa2003,
  author =	 {Jean-Luc Beuchat and Jean-Michel Muller},
  title =	 {Multiplication-addition modulaire: algorithmes
                  it\'eratifs et implantations sur {FPGA}},
  booktitle =	 {Actes de RenPar'15, CFSE'3 et SympAAA'2003},
  editor =	 {M. Auguin and F. Baude and D. Lavenier and
                  M. Riveill},
  year =	 {2003},
  pages =	 {235--242},
  month =	 oct
}

@Article{BT:tsisympa8,
  author =	 {Jean-Luc Beuchat and Arnaud Tisserand},
  title =	 {Evaluation polynomiale en-ligne de fonctions
                  \'el\'ementaires sur {FPGA}},
  journal =	 {Technique et science informatiques},
  year = {\aparaitre}
}
@InProceedings{Beuchat:asap03,
  author =	 {Jean-Luc Beuchat},
  title =	 {Modular Multiplication for {FPGA} Implementation of
                  the {IDEA} Block Cipher},
  booktitle =	 {Proceedings of the 14th IEEE International
                  Conference on Application-Specific Systems,
                  Architectures, and Processors},
  pages =	 {412--422},
  year =	 {2003},
  editor =	 {E. Deprettere and S. Bhattacharyya and J. Cavallaro
                  and A. Darte and L. Thiele},
  publisher =	 {IEEE Computer Society}
}

@InProceedings{Beuchat:fpl2003,
  author =	 {Jean-Luc Beuchat},
  title =	 {{FPGA} Implementations of the {RC6} Block Cipher},
  booktitle =	 {Field-Programmable Logic and Applications},
  pages =	 {101--110},
  year =	 {2003},
  editor =	 {P. Y. K. Cheung and G. A. Constantinides and
                  J. T. de Sousa},
  number =	 {2778},
  series =	 {Lecture Notes in Computer Science},
  publisher =	 {Springer}
}

@InProceedings{Beuchat:raw03,
  author =	 {Jean-Luc Beuchat},
  title =	 {Some Modular Adders and Multipliers for Field
                  Programmable Gate Arrays},
  booktitle =	 {Proceedings of the 17th International Parallel \&
                  Distributed Processing Symposium},
  year =	 {2003},
  publisher =	 {IEEE Computer Society}
}


@InProceedings{BouTis03-arith16,
  author =	 {N. Boullis and A. Tisserand},
  title =	 {Some Optimizations of Hardware Multiplication by
                  Constant Matrices},
  booktitle =	 {ARITH 16},
  pages =	 {20--27},
  year =	 2003
}

@INPROCEEDINGS{BouTis02sympa,
  AUTHOR =	 {Boullis, N. and Tisserand, A.},
  ADDRESS =	 {Hamamet, Tunisie},
  BOOKTITLE =	 {8\`eme SYMPosium en Architectures nouvelles de
                  machines},
  MONTH =	 apr,
  PAGES =	 {283--290},
  TITLE =	 {G\'en\'eration automatique d'architectures de calcul
                  pour des op\'erations lin\'eaires~: application \`a
                  l'{IDCT} sur {FPGA}},
  YEAR =	 {2002}
}

@misc{LefMul2004,
  author = 	 {Lef\`evre, V. and Muller, J.-M},
  title = 	 {Worst Cases for Correct Rounding of the Elementary Functions in Double Precision},
  institution =  {LIP/ENS-Lyon},
  year = 	 2004,
howpublished = {http://perso.ens-lyon.fr/jean-michel.muller/Intro-to-TMD.htm}
}



@InProceedings{DefDinMul2001,
  author = {D. Defour and F. de~Dinechin and J.M. Muller},
  title = {Correctly Rounded Exponential Function in Double Precision Arithmetic},
  booktitle =    {Advanced Signal Processing Algorithms, Architectures, and
Implementations X (SPIE'2000)},
  editor =       {},
  year =         2001,
  volume =       {},
  address =      {San Diego, California},
  month =        Aug,
  note = {Also available as LIP research report 2001-26}
}



@InProceedings{DefDin2002,
  author = {Defour, D. and de~Dinechin, F.},
  title = {Software carry-save for fast multiple-precision algorithms},
  booktitle =    {35th International Congress of Mathematical Software},
  year =         2002,
  address =      {Beijing, China},
  note = {Updated version of LIP research report 2002-08}
}



@InProceedings{DinDef2003,
  author = {de Dinechin, F. and Defour, D.},
  title = {Software Carry-Save: A case study for instruction-level parallelism},
  booktitle =    {Seventh International Conference on Parallel Computing Technologies},
  year =         2003,
  month =        Sep,
  address =      {Nizhny Novgorod, Russia}
}





@techreport{DarDefDinMul03,
	author = {C. Daramy and D. Defour and F. de~Dinechin and J.M. Muller},
	title = {{CR-LIBM}: The evaluation of the exponential},
	institution = {LIP, \'Ecole Normale Sup\'erieure de Lyon},
	year = 2003,
	number = {RR2003-37},
	month = jul,
	note = {Available at ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2003/RR2003-37.ps.gz}
}



@misc{SCSweb,
        title = {{SCS}, {S}oftware {C}arry-{S}ave multiprecision library},
        url = {http://www.ens-lyon.fr/LIP/Arenaire/News/SCSLib/}
}



@techreport{DinDefLau2004LIP,
	author = {de~Dinechin, F. and D. Defour and C. Lauter},
	title = {Fast correct rounding of elementary functions 
             in double precision using double-extended arithmetic},
	institution = {LIP, \'Ecole Normale Sup\'erieure de Lyon},
	year = 2004,
	number = {2004-10},
	month = mar,
	note = {Available at http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2004/RR2004-10.pdf}
}

@techreport{DinGast2004LIP,
	author = { de~Dinechin, F. and Gast, N.},
	title = {Towards the post-ultimate \texttt{libm}},
	institution = {LIP, \'Ecole Normale Sup\'erieure de Lyon},
	year = 2004,
	number = {2004-47},
	month = nov,
        note={Submitted to Arith' 17},
	anote = {available at \url{http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2004/RR2004-47.pdf}}
}


@InProceedings{DinErshGast2005,
  author = {de~Dinechin, F. and Ershov, A. and Gast, N.},
  title = {Towards the post-ultimate libm},
  booktitle =    {17th Symposium on Computer Arithmetic},
  year =         2005,
  nolocation =      {Cape Cod, Massachussets},
  PUBLISHER =	 {IEEE Computer Society Press},
  month =        jun,
  pages = {288-295},
  url = {http://perso.ens-lyon.fr/florent.de.dinechin/recherche/publis/2005-Arith.pdf}
}


@TechReport{Lauter2005LIP:tripledouble,
	author = {Lauter, Ch. Q.},
  title =        {Basic building blocks for a triple-double intermediate format},
  institution =  {LIP},
  year =         {2005},
  month =        sep,
  number =       {RR2005-38},
  location =
{http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2005/RR2005-38.pdf}
}



@inproceedings{BroMelPio03,
  author    = {H. Br{\"o}nnimann and G. Melquiond and S. Pion},
  title     = {The {B}oost interval arithmetic library},
  booktitle = {Proceedings of the 5th Conference on Real Numbers and Computers},
  pages     = {65--80},
  location   = {Lyon, France},
  year      = {2003},
  url       = {http://perso.ens-lyon.fr/guillaume.melquiond/doc/03-rnc5-article.ps.gz}
}


@inproceedings{DauMelMun05,
  author    = {M. Daumas and G. Melquiond and C. Mu{\~n}oz},
  title     = {Guaranteed proofs using interval arithmetic},
  booktitle = {Proceedings of the 17th IEEE Symposium on Computer Arithmetic},
  Noeditor    = {Paolo Montuschi and Eric Schwarz},
  pages     = {188--195},
  address   = {Cape Cod, Massachusetts, USA},
  year      = {2005},
  url       = {http://perso.ens-lyon.fr/guillaume.melquiond/doc/05-arith17-article.pdf}
}

@inproceedings{MelPio05,
  author    = {G. Melquiond and S. Pion},
  title     = {Formal certification of arithmetic filters for geometric predicates},
  booktitle = {Proceedings of the 15th IMACS World Congress on Computational and Applied Mathematics},
  location   = {Paris, France},
  year      = {2005},
  url       = {http://perso.ens-lyon.fr/guillaume.melquiond/doc/05-imacs17_2-article.ps.gz}
}

@misc{Melqu05,
        title = {Gappa - G\'en\'eration automatique de preuves de propri\'et\'es arithm\'etiques},
   author = {G. Melquiond},
        howpublished = {Available at \url{http://lipforge.ens-lyon.fr/www/gappa/}}
}


@PhdThesis{Finot-thesis,
  author = 	 {Finot-Moreau, Claire},
  title = 	 {Preuves et algorithmes utilisant l'arithm\'etique flottante normalis\'ee IEEE},
  school = 	 {\'Ecole Normale Sup\'erieure de  Lyon},
  year = 	 2001,
  ADDRESS =	 {Lyon, France},
  month = jul,
  URL =          {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD2001/PhD2001-03.ps.Z}
}

@techreport{Muller05INRIA,
	author = {Muller, Jean-Michel},
	title = {On the definition of ulp$(x)$},
	institution = {INRIA},
	year = 2005,
	number = {RR 5504},
	month = feb,
	note = {Available at ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-5504.pdf}
}

@Misc{crlibmweb,
  title = 	 {{CR-Libm}, A library of correctly rounded elementary functions in
                    double-precision},
  howpublished = {\url{http://lipforge.ens-lyon.fr/www/crlibm/}}
}

@InProceedings{DinLauMel2005,
  author =       {de~Dinechin, F. and Lauter, Ch. Q. and Melquiond, G.},
  title =        {Assisted verification of elementary functions using {Gappa}},
  booktitle =	 {ACM{ } Symposium on Applied Computing},
  note = {Extended version available as LIP research report RR2005-43, \url{http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2005/RR2005-43.pdf}},
  year =	 2006

}


@PhdThesis{Stehle-thesis,
  author = 	 {Damien Stehl\'e},
  title = 	 {Algorithmique de la réduction de réseaux et application à la recherche de pires cas pour l'arrondi de fonctions mathématiques},
  school = 	 {LORIA},
  year = 	 2006,
  URL =          {http://perso.ens-lyon.fr/damien.stehle/these.html}
}

@techreport{LauterLefevre2007,
  author =       {Ch. Lauter and V. Lef{\`e}vre},
  institution =  {Laboratoire de l'Informatique du Parall{\'e}lisme},
  number =       {RR-2007-36},
  title =        {An efficient rounding boundary test for pow(x,y) in double precision},
  type =         {Technical Report},
  year =         {2007},
  url =          {http://prunel.ccsd.cnrs.fr/ensl-00169409/},
  note =         {To appear in IEEE Transactions on Computers}
}

@techreport{KorLauLefLouvMul2008,
        author = {P. Kornerup and Ch. Lauter and V. Lef{\`e}vre and N. Louvet and J.-M. Muller},
        title = {Computing Correctly Rounded Integer Powers in Floating-Point Arithmetic},
        number = {RR 2008-15},
        institution = {SDU, Odense, Denmark et LIP, CNRS/ENS Lyon/INRIA/Université de Lyon, Lyon, France},
        year = {2008},
        month = may,
        note = {To appear in ACM Transactions on Mathematical Software}
} 