%a{D. H. Bailey} = https://www.davidhbailey.com/ %a{R. Beigel} = https://cis.temple.edu/~beigel/ %a{V. Berthé} = https://www.irif.fr/~berthe/ %a{Y. Bertot} = http://www-sop.inria.fr/members/Yves.Bertot/ %a{S. Boldo} = https://www.lri.fr/~sboldo/ %a{R. P. Brent} = https://maths-people.anu.edu.au/~brent/ %a{P. Briggs} = https://www.linkedin.com/in/preston-briggs-a302372/ %a{N. Brisebarre} = http://perso.ens-lyon.fr/nicolas.brisebarre/ %a{J. Calmet} = https://sites.google.com/site/jfcalmet/ %a{H. Cohen} = https://www.math.u-bordeaux.fr/~hecohen/ %a{D. Coppersmith} = https://en.wikipedia.org/wiki/Don_Coppersmith %a{M. Cowlishaw} = https://en.wikipedia.org/wiki/Mike_Cowlishaw %a{A. Cuyt} = https://www.uantwerpen.be/en/staff/annie-cuyt/ %a{M. Daumas} = http://md.srvr.fr/ %a{D. Defour} = http://perso.univ-perp.fr/david.defour/ %a{F. de Dinechin} = http://perso.citi-lab.fr/fdedinec/ %a{N. Elkies} = http://www.math.harvard.edu/~elkies/ %a{M. D. Ercegovac} = http://web.cs.ucla.edu/~milos/ %a{L. Fousse} = https://log.lateralis.org/main/ %a{W. Gasarch} = http://www.cs.umd.edu/~gasarch/ %a{N. Gast} = http://mescal.imag.fr/membres/nicolas.gast/ %a{G. Gonnet} = https://inf.ethz.ch/personal/gonnet/ %a{S. Graillat} = https://www-pequan.lip6.fr/~graillat/ %a{B. Haible} = https://www.haible.de/bruno/ %a{G. Hanrot} = http://perso.ens-lyon.fr/guillaume.hanrot/ %a{J. Harrison} = https://www.cl.cam.ac.uk/~jrh13/ %a{T. Harvey} = https://web.archive.org/web/20120729022120/http://www.cs.rice.edu/~harv/ %a{D. S. Hirschberg} = https://www.ics.uci.edu/~dan/ %a{J. van der Hoeven} = http://www.texmacs.org/joris/main/joris.html %a{L. Imbert} = http://www.lirmm.fr/~imbert/ %a{C.-P. Jeannerod} = http://perso.ens-lyon.fr/claude-pierre.jeannerod/ %a{W. Kahan} = https://people.eecs.berkeley.edu/~wkahan/ %a{D. Knuth} = https://www-cs-faculty.stanford.edu/~knuth/ %a{I. Koren} = http://www.ecs.umass.edu/ece/koren/ %a{P. Kornerup} = http://www.arithsymposium.org/index.php/peter-kornerup/ %a{W. Krandick} = https://web.archive.org/web/20121019163545/https://www.cs.drexel.edu/node/17772 %a{U. Kulisch} = http://www.mathematik.uni-karlsruhe.de/ianm2/~kulisch/ %a{U. W. Kulisch} = http://www.mathematik.uni-karlsruhe.de/ianm2/~kulisch/ %a{T. Lang} = http://engineering.uci.edu/users/tomas-lang %a{Ch. Lauter} = http://www.christoph-lauter.org/ %a{V. Lefèvre} = https://www.vinc17.net/research/ %a{N. Louvet} = http://perso.ens-lyon.fr/nicolas.louvet/ %a{N. Magaud} = http://dpt-info.u-strasbg.fr/~magaud/ %a{D. Matula} = https://s2.smu.edu/~matula/ %a{M. Mayero} = https://lipn.univ-paris13.fr/~mayero/ %a{G. Melquiond} = https://www.lri.fr/~melquion/ %a{D. Monniaux} = http://www-verimag.imag.fr/~monniaux/ %a{J. S. Moore} = http://www.cs.utexas.edu/users/moore/ %a{J.-M. Moreau} = https://web.archive.org/web/20120218152922/http://www710.univ-lyon1.fr/~jmmoreau/ %a{J.-M. Muller} = http://perso.ens-lyon.fr/jean-michel.muller/ %a{P. Nguyen} = https://www.di.ens.fr/~pnguyen/ %a{T. Papanikolaou} = https://web.archive.org/web/20110719100311/http://www.cdc.informatik.tu-darmstadt.de/TI/Mitarbeiter/papanik/Welcome.html %a{M. Parks} = https://web.archive.org/web/20090727231702/http://geocities.com/ieee754/ %a{R. G. E. Pinch} = http://www.chalcedon.demon.co.uk/rgep/rcam.html %a{M. Püschel} = https://acl.inf.ethz.ch/people/markusp/ %a{N. Revol} = http://perso.ens-lyon.fr/nathalie.revol/ %a{D. Richardson} = https://web.archive.org/web/20150122201800/http://people.bath.ac.uk/masdr/ %a{F. Rouillier} = https://who.rocq.inria.fr/Fabrice.Rouillier/ %a{S. M. Rump} = http://www.ti3.tu-harburg.de/~rump/ %a{D. Russinoff} = http://www.russinoff.com/david/ %a{S. Schirra} = http://wwwisg.cs.uni-magdeburg.de/~stschirr/ %a{M. Schulte} = https://directory.engr.wisc.edu/display.php/faculty/schulte_michael?page=ece&search=faculty&item=schulte_michael %a{J. R. Shewchuk} = https://people.eecs.berkeley.edu/~jrs/ %a{G. Spaletta} = http://www.cs.unibo.it/~giulia/ %a{D. Stehlé} = http://perso.ens-lyon.fr/damien.stehle/ %a{E. E. Swartzlander} = https://www.researchgate.net/profile/Earl_Jr %a{A. Tisserand} = http://www-labsticc.univ-ubs.fr/~tisseran/ %a{B. Verdonk} = https://web.archive.org/web/20070306230917/http://www.win.ua.ac.be/~verdonk/ %a{Y. Voronenko} = http://users.ece.cmu.edu/~yvoronen/ %a{J. Vuillemin} = https://www.di.ens.fr/~jv/ %a{M. Waldschmidt} = https://webusers.imj-prg.fr/~michel.waldschmidt/index2.html %a{A. C. Yao} = https://en.wikipedia.org/wiki/Andrew_Yao %a{P. Zimmermann} = https://members.loria.fr/PZimmermann/ %a{D. Zuras} = https://web.archive.org/web/20111018213114/http://zuras.net/ %acronym{ACM} = "Association for Computing Machinery" %acronym{CASC} = "Computer Algebra in Scientific Computing" %acronym{CCA} = "Computability and Complexity in Analysis" %acronym{FPGA} = "Field-Programmable Gate Array" %acronym{GMP} = "GNU Multiple Precision" %acronym{IEEE} = "Institute of Electrical and Electronic Engineers" %acronym{INRIA} = "Institut National de Recherche en Informatique et en Automatique" %acronym{ISSAC} = "International Symposium on Symbolic and Algebraic Computation" %acronym{OMSCS} = "Open Mechanized Symbolic Computation System" %acronym{PLMMS} = "Programming Languages for Mechanized Mathematics Systems" %acronym{RSA} = "Rivest, Shamir and Adleman" %acronym{SIAM} = "Society for Industrial and Applied Mathematics" @InProceedings{CalLef2004a, AUTHOR = {J. Calmet and V. Lefèvre}, TITLE = {Toward the Integration of Numerical Computations into the {OMSCS} Framework}, BOOKTITLE = {Proceedings of the 7th International Workshop on Computer Algebra in Scientific Computing ({CASC} 2004)}, EDITOR = {V.G. Ganzha and E.W. Mayr and E.V. Vorozhtsov}, PAGES = {71--79}, ADDRESS = {Saint Petersburg, Russia}, MONTH = jul, YEAR = {2004}, URL = {https://www.vinc17.net/research/papers/casc2004}, OTHER-URL = {https://www.vinc17.net/research/papers/casc2004.ps.gz https://www.vinc17.net/research/papers/casc2004.pdf}, HAL_ID = {inria-00099920}, TAGS = {proof} } @Article{CasLefZim2004a, AUTHOR = {A. Castiel and V. Lefèvre and P. Zimmermann}, TITLE = {Le « dilemme du fabricant de tables » ou comment calculer juste}, JOURNAL = {Interstices}, PUBLISHER = {INRIA}, MONTH = feb, YEAR = {2004}, URL = {https://interstices.info/le-dilemme-du-fabricant-de-tables-ou-comment-calculer-juste/}, HAL_ID = {inria-00000567}, TAGS = {cr,tmd} } @Article{DHLMRZ2004a, AUTHOR = {D. Defour and G. Hanrot and V. Lefèvre and J.-M. Muller and N. Revol and P. Zimmermann}, TITLE = {Proposal for a Standardization of Mathematical Function Implementation in Floating-Point Arithmetic}, JOURNAL = {Numerical Algorithms}, VOLUME = {37}, NUMBER = {1--4}, PAGES = {367--375}, MONTH = dec, YEAR = {2004}, DOI = {10.1023/B:NUMA.0000049482.38935.0b}, URL = {https://doi.org/10.1023/B:NUMA.0000049482.38935.0b}, HAL_ID = {inria-00099967}, TAGS = {std} } @TechReport{DHLMRZ2004b, AUTHOR = {D. Defour and G. Hanrot and V. Lefèvre and J.-M. Muller and N. Revol and P. Zimmermann}, TITLE = {Proposal for a Standardization of Mathematical Function Implementation in Floating-Point Arithmetic}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-5406}, YEAR = {2004}, MONTH = dec, KEYWORDS = {floating-point arithmetic,mathematical function,standard,implementation,rounding,exception}, URL = {https://inria.hal.science/inria-00071249}, HAL_ID = {inria-00071249}, TAGS = {std} } @InProceedings{DinLef2000a, AUTHOR = {F. de Dinechin and V. Lefèvre}, TITLE = {Constant Multipliers for {FPGA}s}, BOOKTITLE = {Second International Workshop on Engineering of Reconfigurable Hardware/Software Objects ({ENREGLE} 2000)}, ADDRESS = {Monte Carlo Resort, Las Vegas, Nevada, USA}, NOTE = {Also available as LIP research report 2000-18}, MONTH = jun, YEAR = {2000}, URL = {https://www.vinc17.net/research/papers/rr_cmfpga.ps.gz}, OTHER-URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2000/RR2000-18.ps.Z}, TAGS = {mulbyconst} } @TechReport{DinLef2000b, AUTHOR = {F. de Dinechin and V. Lefèvre}, TITLE = {Constant Multipliers for {FPGA}s}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR2000-18}, MONTH = may, YEAR = {2000}, ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/Pub/rr2000.php}, URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2000/RR2000-18.ps.Z}, TAGS = {mulbyconst} } @TechReport{FHLPZ2005a, AUTHOR = {L. Fousse and G. Hanrot and V. Lefèvre and P. Pélissier and P. Zimmermann}, TITLE = {{MPFR}: A Multiple-Precision Binary Floating-Point Library With Correct Rounding}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-5753}, YEAR = {2005}, MONTH = nov, KEYWORDS = {multiple-precision arithmetic,ieee-754 standard,floating-point arithmetic,correct rounding,elementary function,portable software}, URL = {https://www.vinc17.net/research/papers/rr_mpfr}, OTHER-URL = {https://www.vinc17.net/research/papers/rr_mpfr.ps.gz https://www.vinc17.net/research/papers/rr_mpfr.pdf}, HAL_ID = {inria-00070266}, TAGS = {mpfr,multiprec,cr,tmd} } @Article{FHLPZ2006a, AUTHOR = {L. Fousse and G. Hanrot and V. Lefèvre and P. Pélissier and P. Zimmermann}, TITLE = {{MPFR}: A Multiple-Precision Binary Floating-Point Library With Correct Rounding}, JOURNAL = {{ACM} Transactions on Mathematical Software}, VOLUME = {33}, NUMBER = {2}, MONTH = jun, YEAR = {2007}, ACCEPTED = {23 May 2006}, PUBLISHER = {ACM}, ADDRESS = {New York, NY, USA}, DOI = {10.1145/1236463.1236468}, URL = {https://doi.org/10.1145/1236463.1236468}, HAL_ID = {inria-00103655}, TAGS = {mpfr,multiprec,cr,tmd} } @Article{GraiLefMul2014a, AUTHOR = {S. Graillat and V. Lefèvre and J.-M. Muller}, TITLE = {On the maximum relative error when computing integer powers by iterated multiplications in floating-point arithmetic}, JOURNAL = {Numerical Algorithms}, MONTH = feb, YEAR = {2015}, HAL_ID = {ensl-00945033}, DOI = {10.1007/s11075-015-9967-8}, URL = {http://link.springer.com/article/10.1007/s11075-015-9967-8}, TAGS = {fpalgo} } @InProceedings{GraiLefMul2020a, AUTHOR = {S. Graillat and V. Lefèvre and J.-M. Muller}, TITLE = {Alternative Split Functions and {Dekker's} Product}, BOOKTITLE = {Proceedings of the {IEEE} 27th Symposium on Computer Arithmetic}, PUBLISHER = {{IEEE}}, MONTH = jun, YEAR = {2020}, URL = {https://www.vinc17.net/research/papers/arith27.pdf}, HAL_ID = {hal-02470782}, TAGS = {fpalgo} } @Book{HFPA2009a, AUTHOR = {J.-M. Muller and N. Brisebarre and F. de Dinechin and C.-P. Jeannerod and V. Lefèvre and G. Melquiond and N. Revol and D. Stehlé and S. Torres}, TITLE = {Handbook of Floating-Point Arithmetic}, PUBLISHER = {Birkhäuser Boston}, EDITION = {First}, YEAR = {2010}, ISBN = {978-0-8176-4704-9}, DOI = {10.1007/978-0-8176-4705-6}, URL = {https://www.springer.com/book/9780817647049}, HAL_ID = {ensl-00379167}, TAGS = {fpalgo,std,approx,cr,tmd,lalgo,langcomp,decimal,proof} } @Book{HFPA2018a, AUTHOR = {J.-M. Muller and N. Brunie and F. de Dinechin and C.-P. Jeannerod and M. Joldes and V. Lefèvre and G. Melquiond and N. Revol and S. Torres}, TITLE = {Handbook of Floating-Point Arithmetic}, PUBLISHER = {Birkhäuser, Cham}, EDITION = {Second}, YEAR = {2018}, ISBN = {978-3-319-76525-9}, DOI = {10.1007/978-3-319-76526-6}, URL = {https://www.springer.com/book/9783319765259}, HAL_ID = {hal-01766584}, TAGS = {fpalgo,std,approx,cr,tmd,lalgo,langcomp,decimal,proof} } @Misc{HLMRZ2001a, AUTHOR = {G. Hanrot and V. Lefèvre and J.-M. Muller and N. Revol and P. Zimmermann}, TITLE = {Some notes for a proposal for elementary function implementation in floating-point arithmetic}, MONTH = jun, YEAR = {2001}, URL = {http://perso.ens-lyon.fr/jean-michel.muller/PropStandFunc.ps}, TAGS = {std} } @TechReport{HLSZ2007a, AUTHOR = {G. Hanrot and V. Lefèvre and D. Stehlé and P. Zimmermann}, TITLE = {Worst Cases of a Periodic Function for Large Arguments}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-6106}, MONTH = jan, YEAR = {2007}, URL = {https://www.vinc17.net/research/papers/rr_periodic.pdf}, HAL_ID = {inria-00126474}, TAGS = {cr,tmd,lalgo,slz} } @InProceedings{HLSZ2007b, AUTHOR = {G. Hanrot and V. Lefèvre and D. Stehlé and P. Zimmermann}, TITLE = {Worst Cases of a Periodic Function for Large Arguments}, BOOKTITLE = {Proceedings of the 18th {IEEE} Symposium on Computer Arithmetic}, PAGES = {133--140}, EDITOR = {Peter Kornerup and Jean-Michel Muller}, ADDRESS = {Montpellier, France}, PUBLISHER = {{IEEE} Computer Society Press, Los Alamitos, CA}, MONTH = jun, YEAR = {2007}, URL = {https://www.vinc17.net/research/papers/arith18.pdf}, DOI = {10.1109/ARITH.2007.37}, HAL_ID = {inria-00126474}, TAGS = {cr,tmd,lalgo,slz} } @TechReport{KLLLM2008a, AUTHOR = {P. Kornerup and Ch. Lauter and V. Lefèvre and N. Louvet and J.-M. Muller}, TITLE = {Computing Correctly Rounded Integer Powers in Floating-Point Arithmetic}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR2008-15}, MONTH = may, YEAR = {2008}, URL = {https://www.vinc17.net/research/papers/rr_crip.pdf}, HAL_ID = {ensl-00278430}, TAGS = {approx,fpalgo,cr,tmd} } @Article{KLLLM2009a, AUTHOR = {P. Kornerup and Ch. Lauter and V. Lefèvre and N. Louvet and J.-M. Muller}, TITLE = {Computing Correctly Rounded Integer Powers in Floating-Point Arithmetic}, JOURNAL = {{ACM} Transactions on Mathematical Software}, VOLUME = {37}, NUMBER = {1}, MONTH = jan, YEAR = {2010}, DOI = {10.1145/1644001.1644005}, URL = {https://doi.org/10.1145/1644001.1644005}, HAL_ID = {inria-00388501}, ANR = {EVA-Flo}, TAGS = {approx,fpalgo,cr,tmd} } @TechReport{KLLM2008a, AUTHOR = {P. Kornerup and V. Lefèvre and N. Louvet and J.-M. Muller}, TITLE = {On the computation of correctly-rounded sums}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR2008-35}, MONTH = oct, YEAR = {2008}, URL = {https://www.vinc17.net/research/papers/rr_ccrsums.pdf}, HAL_ID = {ensl-00331519}, TAGS = {fpalgo,cr} } @InProceedings{KLLM2009a, AUTHOR = {P. Kornerup and V. Lefèvre and N. Louvet and J.-M. Muller}, TITLE = {On the Computation of Correctly-Rounded Sums}, BOOKTITLE = {Proceedings of the 19th {IEEE} Symposium on Computer Arithmetic}, PAGES = {155--160}, MONTH = jun, YEAR = {2009}, ADDRESS = {Portland, OR, USA}, URL = {https://www.vinc17.net/research/papers/arith19.pdf}, HAL_ID = {inria-00367584}, TAGS = {fpalgo,cr} } @TechReport{KLLM2010a, AUTHOR = {P. Kornerup and V. Lefèvre and N. Louvet and J.-M. Muller}, TITLE = {On the Computation of Correctly-Rounded Sums}, ADDRESS = {Lyon, France}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-7262}, MONTH = apr, YEAR = {2010}, URL = {https://www.vinc17.net/research/papers/rr_ccrsums2.pdf}, HAL_ID = {inria-00475279}, TAGS = {fpalgo,cr} } @Article{KLLM2011a, AUTHOR = {P. Kornerup and V. Lefèvre and N. Louvet and J.-M. Muller}, TITLE = {On the Computation of Correctly Rounded Sums}, JOURNAL = {{IEEE} Transactions on Computers}, PUBLISHER = {{IEEE} Computer Society Press, Los Alamitos, CA}, VOLUME = {61}, NUMBER = {3}, PAGES = {289--298}, MONTH = mar, YEAR = {2012}, URL = {https://www.vinc17.net/research/papers/ieeetc2011-crsums.pdf}, DOI = {10.1109/TC.2011.27}, HAL_ID = {ensl-00331519}, NOTE = {Prix \emph{La Recherche} 2013.}, TAGS = {fpalgo,cr} } @Article{KLTZ2009a, AUTHOR = {K. R. Ghazi and V. Lefèvre and P. Théveny and P. Zimmermann}, TITLE = {Why and How to Use Arbitrary Precision}, JOURNAL = {Computing in Science and Engineering}, PUBLISHER = {{IEEE} Computer Society and American Institute of Physics}, VOLUME = {12}, NUMBER = {3}, PAGES = {62--65}, MONTH = may, YEAR = {2010}, URL = {https://doi.org/10.1109/MCSE.2010.73}, DOI = {10.1109/MCSE.2010.73}, HAL_ID = {inria-00543927}, TAGS = {multiprec,langcomp} } @TechReport{KorLefMul2007a, AUTHOR = {P. Kornerup and V. Lefèvre and J.-M. Muller}, TITLE = {Computing Integer Powers in Floating-Point Arithmetic}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR2007-23}, MONTH = may, YEAR = {2007}, KEYWORDS = {floating-point arithmetic,integer powers,computer arithmetic,correct rounding}, URL = {https://www.vinc17.net/research/papers/rr_power.pdf}, HAL_ID = {ensl-00150406}, TAGS = {approx,fpalgo,cr,tmd} } @InProceedings{KorLefMul2007b, AUTHOR = {P. Kornerup and V. Lefèvre and J.-M. Muller}, TITLE = {Computing Integer Powers in Floating-Point Arithmetic}, BOOKTITLE = {Proceedings of 41st Conference on signals, systems and computers}, PUBLISHER = {IEEE Conference Publishing Services}, MONTH = nov, YEAR = {2007}, TAGS = {approx,fpalgo,cr,tmd} } @Article{LLMPR2022a, AUTHOR = {V. Lefèvre and N. Louvet and J.-M. Muller and J. Picot and L. Rideau}, TITLE = {Accurate Calculation of {E}uclidean Norms using Double-Word Arithmetic}, JOURNAL = {{ACM} Transactions on Mathematical Software}, MONTH = oct, YEAR = {2022}, PUBLISHER = {ACM}, ADDRESS = {New York, NY, USA}, DOI = {10.1145/3568672}, URL = {https://doi.org/10.1145/3568672}, HAL_ID = {hal-03482567}, TAGS = {fpalgo,proof} } @TechReport{LTDJMPR2010a, AUTHOR = {V. Lefèvre and P. Théveny and F. de Dinechin and C.-P. Jeannerod and C. Mouilleron and D. Pfannholzer and N. Revol}, TITLE = {{LEMA}: Towards a Language for Reliable Arithmetic}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-7258}, YEAR = {2010}, MONTH = apr, KEYWORDS = {design,languages,performance,reliability,verification,annotated mathematical expressions,XML,MathML,certified numerical properties,formal proof,computer arithmetic,floating-point arithmetic}, URL = {https://www.vinc17.net/research/papers/rr_lema.pdf}, HAL_ID = {inria-00473767}, TAGS = {proof,langcomp} } @Article{LTDJMPR2010b, AUTHOR = {V. Lefèvre and P. Théveny and F. de Dinechin and C.-P. Jeannerod and C. Mouilleron and D. Pfannholzer and N. Revol}, TITLE = {{LEMA}: Towards a Language for Reliable Arithmetic}, JOURNAL = {{ACM} Communications in Computer Algebra}, VOLUME = {44}, NUMBER = {2}, MONTH = jun, YEAR = {2010}, KEYWORDS = {design,languages,performance,reliability,verification,annotated mathematical expressions,XML,MathML,certified numerical properties,formal proof,computer arithmetic,floating-point arithmetic}, NOTE = {Emerging Trends Papers accepted for {PLMMS}~2010, L.~Dixon and J.~Davenport.}, DOI = {10.1145/1838599.1838622}, URL = {https://doi.org/10.1145/1838599.1838622}, HAL_ID = {inria-00542143}, ANR = {EVA-Flo}, TAGS = {proof,langcomp} } @TechReport{LauLef2007a, AUTHOR = {Ch. Lauter and V. Lefèvre}, TITLE = {An efficient rounding boundary test for \texttt{pow(x,y)} in double precision}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR2007-36}, MONTH = sep, YEAR = {2007}, KEYWORDS = {floating-point arithmetic,correct rounding,power function}, URL = {https://www.vinc17.net/research/papers/rr_power-cr.pdf}, HAL_ID = {ensl-00169409}, TAGS = {cr,tmd} } @Article{LauLef2009a, AUTHOR = {Ch. Lauter and V. Lefèvre}, TITLE = {An efficient rounding boundary test for \texttt{pow(x,y)} in double precision}, JOURNAL = {{IEEE} Transactions on Computers}, PUBLISHER = {{IEEE} Computer Society Press, Los Alamitos, CA}, VOLUME = {58}, NUMBER = {2}, PAGES = {197--207}, MONTH = feb, YEAR = {2009}, KEYWORDS = {floating-point arithmetic,correct rounding,power function}, URL = {https://www.vinc17.net/research/papers/ieeetc2009-powr.pdf}, DOI = {10.1109/TC.2008.202}, HAL_ID = {inria-00583988}, TAGS = {cr,tmd} } @TechReport{Lef1997a, AUTHOR = {V. Lefèvre}, 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}, MONTH = jun, YEAR = {1997}, KEYWORDS = {elementary functions,floating-point arithmetic,rounding}, ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/Pub/rr1997.php}, URL = {https://www.vinc17.net/research/papers/rr_segment.ps.gz}, OTHER-URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1997/RR1997-18.ps.Z}, TAGS = {lalgo,cr,tmd} } @InCollection{Lef1999a, AUTHOR = {V. Lefèvre}, 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}, DOI = {10.1007/978-94-017-1247-7_16}, KEYWORDS = {elementary functions,floating-point arithmetic,rounding}, TAGS = {lalgo,cr,tmd} } @TechReport{Lef1999b, AUTHOR = {V. Lefèvre}, TITLE = {Multiplication by an Integer Constant}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR1999-06}, MONTH = jan, YEAR = {1999}, KEYWORDS = {multiplication,addition chains}, ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/Pub/rr1999.php}, URL = {https://www.vinc17.net/research/papers/rr_mulcst.ps.gz}, OTHER-URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1999/RR1999-06.ps.Z}, TAGS = {mulbyconst} } @PhDThesis{Lef2000a, AUTHOR = {V. Lefèvre}, TITLE = {Moyens arithmétiques pour un calcul fiable}, SCHOOL = {École Normale Supérieure de Lyon}, ADDRESS = {Lyon, France}, YEAR = {2000}, MONTH = jan, URL = {https://www.vinc17.net/research/papers/these}, OTHER-URL = {https://www.vinc17.net/research/papers/these.ps.gz https://www.vinc17.net/research/papers/these.pdf ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD2000/PhD2000-02.ps.Z}, TAGS = {cr,tmd,lalgo,mulbyconst,difftable} } @TechReport{Lef2001a, AUTHOR = {V. Lefèvre}, TITLE = {Multiplication by an Integer Constant}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-4192}, YEAR = {2001}, MONTH = may, KEYWORDS = {multiplication,addition chains}, URL = {https://www.vinc17.net/research/papers/rr_mulcst2}, OTHER-URL = {https://www.vinc17.net/research/papers/rr_mulcst2.ps.gz https://www.vinc17.net/research/papers/rr_mulcst2.pdf}, HAL_ID = {inria-00072430}, TAGS = {mulbyconst} } @Article{Lef2001b, AUTHOR = {V. Lefèvre}, TITLE = {Multiplication par une constante}, JOURNAL = {Réseaux et Systèmes Répartis, Calculateurs Parallèles}, NUMBER = {4--5}, PAGES = {465--484}, VOLUME = {13}, YEAR = {2001}, KEYWORDS = {multiplication}, HAL_ID = {inria-00100605}, TAGS = {mulbyconst} } @TechReport{Lef2002a, AUTHOR = {V. Lefèvre}, TITLE = {Multiplication by an Integer Constant: Lower Bounds on the Code Length}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-4493}, YEAR = {2002}, MONTH = jul, KEYWORDS = {integer multiplication,addition chains,compression}, URL = {https://www.vinc17.net/research/papers/rr_mulcst3}, OTHER-URL = {https://www.vinc17.net/research/papers/rr_mulcst3.ps.gz https://www.vinc17.net/research/papers/rr_mulcst3.pdf}, HAL_ID = {inria-00072095}, TAGS = {mulbyconst} } @InProceedings{Lef2003a, AUTHOR = {V. Lefèvre}, TITLE = {Multiplication by an Integer Constant: Lower Bounds on the Code Length}, BOOKTITLE = {Proceedings of the 5th Conference on Real Numbers and Computers}, ADDRESS = {École Normale Supérieure de Lyon, France}, PAGES = {131--146}, KEYWORDS = {integer multiplication,addition chains,compression}, MONTH = sep, YEAR = {2003}, URL = {https://www.vinc17.net/research/papers/rnc5}, OTHER-URL = {https://www.vinc17.net/research/papers/rnc5.ps.gz https://www.vinc17.net/research/papers/rnc5.pdf}, HAL_ID = {inria-00099684}, TAGS = {mulbyconst} } @InProceedings{Lef2004a, AUTHOR = {V. Lefèvre}, TITLE = {The Generic Multiple-Precision Floating-Point Addition With Exact Rounding (as in the {MPFR} Library)}, BOOKTITLE = {Proceedings of the 6th Conference on Real Numbers and Computers}, ADDRESS = {Dagstuhl, Germany}, PAGES = {135--145}, KEYWORDS = {multiple precision,floating point,addition,correct rounding,exact rounding}, MONTH = nov, YEAR = {2004}, URL = {https://www.vinc17.net/research/papers/rnc6}, OTHER-URL = {https://www.vinc17.net/research/papers/rnc6.ps.gz https://www.vinc17.net/research/papers/rnc6.pdf http://www.informatik.uni-trier.de/Reports/TR-08-2004/rnc6_11_lefevre.pdf}, HAL_ID = {inria-00000026}, TAGS = {multiprec,cr,mpfr} } @InProceedings{Lef2005a, AUTHOR = {V. Lefèvre}, TITLE = {New Results on the Distance Between a Segment and $\mathbb{Z}^2$. {Application} to the Exact Rounding}, BOOKTITLE = {Proceedings of the 17th {IEEE} Symposium on Computer Arithmetic}, EDITOR = {Paolo Montuschi and Eric Schwarz}, ADDRESS = {Cape Cod, MA, USA}, PUBLISHER = {{IEEE} Computer Society Press, Los Alamitos, CA}, MONTH = jun, YEAR = {2005}, PAGES = {68--75}, KEYWORDS = {computer arithmetic,correct rounding,exact rounding,table maker's dilemma,base conversion}, URL = {https://www.vinc17.net/research/papers/arith17.pdf}, DOI = {10.1109/ARITH.2005.32}, HAL_ID = {inria-00000025}, TAGS = {lalgo,cr,tmd,baseconv} } @TechReport{Lef2005b, AUTHOR = {V. Lefèvre}, TITLE = {The {Euclidean} Division Implemented with a Floating-Point Division and a Floor}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-5604}, YEAR = {2005}, MONTH = jun, KEYWORDS = {floating-point arithmetic,Euclidean division,integer division,correct rounding,programming languages,ECMAScript,XPath}, URL = {https://www.vinc17.net/research/papers/rr_intdiv}, OTHER-URL = {https://www.vinc17.net/research/papers/rr_intdiv.ps.gz https://www.vinc17.net/research/papers/rr_intdiv.pdf}, HAL_ID = {inria-00070403}, TAGS = {division,cr} } @Misc{Lef2005c, AUTHOR = {V. Lefèvre}, TITLE = {The {Euclidean} Division Implemented with a Floating-Point Multiplication and a Floor}, YEAR = {2005}, MONTH = jul, KEYWORDS = {floating-point arithmetic,Euclidean division,integer division,correct rounding}, NOTE = preprint, URL = {https://www.vinc17.net/research/papers/intdiv-mul}, OTHER-URL = {https://www.vinc17.net/research/papers/intdiv-mul.ps.gz https://www.vinc17.net/research/papers/intdiv-mul.pdf}, HAL_ID = {inria-00000159}, TAGS = {division,cr} } @TechReport{Lef2011a, AUTHOR = {V. Lefèvre}, TITLE = {{SIPE}: Small Integer Plus Exponent}, ADDRESS = {Lyon, France}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-7832}, MONTH = dec, YEAR = {2011}, URL = {https://www.vinc17.net/research/papers/rr_sipe.pdf}, HAL_ID = {hal-00650659}, TAGS = {fpalgo,cr} } @InProceedings{Lef2011b, AUTHOR = {V. Lefèvre}, TITLE = {Generating a Minimal Interval Arithmetic Based on {GNU MPFR}}, BOOKTITLE = {Uncertainty modeling and analysis with intervals: Foundations, tools, applications (Dagstuhl Seminar 11371)}, SERIES = {Dagstuhl Reports}, ADDRESS = {Dagstuhl, Germany}, MONTH = dec, YEAR = {2011}, VOLUME = {1}, NUMBER = {9}, PAGES = {43}, NOTE = abstract, EDITOR = {Isaac E. Elishakoff and Vladik Kreinovich and Wolfram Luther and Evgenija D. Popova}, PUBLISHER = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik}, ISSN = {2192-5283}, URL = {https://drops.dagstuhl.de/opus/volltexte/2011/3318/}, DOI = {10.4230/DagRep.1.9.26}, HAL_ID = {hal-00651939}, TAGS = {langcomp,interv,mpfr} } @InProceedings{Lef2013a, AUTHOR = {V. Lefèvre}, TITLE = {{SIPE}: Small Integer Plus Exponent}, BOOKTITLE = {Proceedings of the 21st {IEEE} Symposium on Computer Arithmetic}, EDITOR = {Alberto Nannarelli and Peter-Michael Seidel and Ping Tak Peter Tang}, PAGES = {99--106}, MONTH = apr, YEAR = {2013}, ADDRESS = {Austin, TX, USA}, URL = {https://www.vinc17.net/research/papers/arith21.pdf}, OTHER-URL = {https://doi.org/10.1109/ARITH.2013.22}, DOI = {10.1109/ARITH.2013.22}, HAL_ID = {hal-00763954}, TAGS = {fpalgo,cr} } @Misc{Lef2013b, AUTHOR = {V. Lefèvre}, TITLE = {Sipe: a Mini-Library for Very Low Precision Computations with Correct Rounding}, YEAR = {2013}, NOTE = preprint, HAL_ID = {hal-00864580}, TAGS = {fpalgo,cr} } @InProceedings{Lef2016a, AUTHOR = {V. Lefèvre}, TITLE = {Correctly Rounded Arbitrary-Precision Floating-Point Summation}, BOOKTITLE = {Proceedings of the 23rd {IEEE} Symposium on Computer Arithmetic}, PUBLISHER = {{IEEE}}, MONTH = jul, YEAR = {2016}, ADDRESS = {Santa Clara, CA, USA}, URL = {https://www.vinc17.net/research/papers/arith23.pdf}, DOI = {10.1109/ARITH.2016.9}, HAL_ID = {hal-01242127}, TAGS = {fpalgo,fpsum,multiprec,cr,mpfr} } @Article{Lef2016b, AUTHOR = {V. Lefèvre}, TITLE = {Correctly Rounded Arbitrary-Precision Floating-Point Summation}, JOURNAL = {{IEEE} Transactions on Computers}, PUBLISHER = {{IEEE}}, YEAR = {2017}, MONTH = dec, VOLUME = {66}, NUMBER = {12}, PAGES = {2111--2124}, DOI = {10.1109/TC.2017.2690632}, URL = {https://www.vinc17.net/research/papers/ieeetc2017-mpfrsum-publ.pdf}, OTHER-URL = {https://www.vinc17.net/research/papers/ieeetc2017-mpfrsum-auth.pdf}, HAL_ID = {hal-01394289}, TAGS = {fpalgo,fpsum,multiprec,cr,mpfr} } @InProceedings{LefMul1999a, AUTHOR = {V. Lefèvre and J.-M. Muller}, 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}, DOI = {10.1117/12.367669}, TAGS = {approx} } @TechReport{LefMul2000a, AUTHOR = {V. Lefèvre and J.-M. Muller}, TITLE = {On-the-fly Range Reduction}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR2000-34}, MONTH = nov, YEAR = {2000}, KEYWORDS = {range reduction,elementary functions}, ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/Pub/rr2000.php}, URL = {https://www.vinc17.net/research/papers/rr_otfrr.ps.gz}, OTHER-URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2000/RR2000-34.ps.Z}, HAL_ID = {inria-00072595}, TAGS = {online} } @TechReport{LefMul2000b, AUTHOR = {V. Lefèvre and J.-M. Muller}, TITLE = {Worst Cases for Correct Rounding of the Elementary Functions in Double Precision}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR2000-35}, MONTH = nov, YEAR = {2000}, KEYWORDS = {table maker's dilemma,elementary functions,rounding,floating-point arithmetic}, ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/Pub/rr2000.php}, URL = {https://www.vinc17.net/research/papers/rr_worstcases.ps.gz}, OTHER-URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2000/RR2000-35.ps.Z}, HAL_ID = {inria-00072594}, TAGS = {cr,tmd} } @InProceedings{LefMul2000c, AUTHOR = {V. Lefèvre and J.-M. Muller}, ADDRESS = {San Diego, CA}, BOOKTITLE = {{SPIE's} International Symposium on Optical Science and Technology}, TITLE = {On-the-fly Range Reduction}, MONTH = aug, YEAR = {2000}, TAGS = {online} } @Article{LefMul2000d, AUTHOR = {V. Lefèvre and J.-M. Muller}, JOURNAL = {Le Temps des Savoirs}, MONTH = oct, NUMBER = {2}, PAGES = {147--157}, TITLE = {{L}'erreur En Arithmétique Des Ordinateurs}, YEAR = {2000} } @InProceedings{LefMul2001a, AUTHOR = {V. Lefèvre and J.-M. Muller}, ADDRESS = {Vail, Colorado}, BOOKTITLE = {Proceedings of the 15th {IEEE} Symposium on Computer Arithmetic}, EDITOR = {Neil Burgess and Luigi Ciminiera}, PAGES = {111--118}, PUBLISHER = {{IEEE} Computer Society Press, Los Alamitos, CA}, TITLE = {Worst Cases for Correct Rounding of the Elementary Functions in Double Precision}, YEAR = {2001}, KEYWORDS = {table maker's dilemma,elementary functions,correct rounding,floating-point arithmetic}, URL = {https://www.vinc17.net/research/papers/arith15.pdf}, DOI = {10.1109/ARITH.2001.930110}, HAL_ID = {inria-00100547}, TAGS = {cr,tmd} } @Article{LefMul2001b, AUTHOR = {V. Lefèvre and J.-M. Muller}, JOURNAL = {Journal of VLSI Signal Processing}, NUMBER = {1}, PAGES = {31--35}, TITLE = {On-the-Fly Range Reduction}, VOLUME = {33}, MONTH = jan, YEAR = {2003}, KEYWORDS = {range reduction,elementary functions,computer arithmetic}, URL = {https://doi.org/10.1023/A:1021137717282}, DOI = {10.1023/A:1021137717282}, HAL_ID = {inria-00099524}, TAGS = {online} } @Misc{LefMul2007a, AUTHOR = {V. Lefèvre and J.-M. Muller}, TITLE = {Some notes on the possible under/overflow of the most common elementary functions}, MONTH = may, YEAR = {2007}, KEYWORDS = {floating-point arithmetic,elementary functions,underflow,overflow}, URL = {https://www.vinc17.net/research/papers/underflow.pdf}, HAL_ID = {ensl-00149414} } @Article{LefMul2009a, AUTHOR = {V. Lefèvre and J.-M. Muller}, TITLE = {Erreurs en arithmétique des ordinateurs}, JOURNAL = {Images des mathématiques}, MONTH = jun, YEAR = {2009}, URL = {http://images.math.cnrs.fr/Erreurs-en-arithmetique-des.html}, HAL_ID = {hal-00598554} } @InProceedings{LefMul2019a, AUTHOR = {V. Lefèvre and J.-M. Muller}, TITLE = {Accurate Complex Multiplication in Floating-Point Arithmetic}, BOOKTITLE = {Proceedings of the {IEEE} 26th Symposium on Computer Arithmetic}, PUBLISHER = {{IEEE}}, MONTH = jun, YEAR = {2019}, ADDRESS = {Kyoto, Japan}, DOI = {10.1109/ARITH.2019.00013}, URL = {https://www.vinc17.net/research/papers/arith26.pdf}, HAL_ID = {hal-02001080}, TAGS = {fpalgo} } @InProceedings{LefMulTis1997a, AUTHOR = {V. Lefèvre and J.-M. Muller 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}, URL = {https://www.vinc17.net/research/papers/arith13.pdf}, DOI = {10.1109/ARITH.1997.614888}, TAGS = {cr,tmd} } @TechReport{LefMulTis1998a, AUTHOR = {V. Lefèvre and J.-M. Muller and A. Tisserand}, TITLE = {The Table Maker's Dilemma}, ADDRESS = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parallélisme}, TYPE = rr, NUMBER = {RR1998-12}, MONTH = feb, YEAR = {1998}, KEYWORDS = {table maker's dilemma,elementary functions,rounding,floating-point arithmetic}, ABSTRACT-URL = {http://www.ens-lyon.fr/LIP/Pub/rr1998.php}, URL = {https://www.vinc17.net/research/papers/rr_tmd98.ps.gz}, OTHER-URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1998/RR1998-12.ps.Z}, TAGS = {cr,tmd} } @Article{LefMulTis1998b, AUTHOR = {V. Lefèvre and J.-M. Muller and A. Tisserand}, JOURNAL = {{IEEE} Transactions on Computers}, MONTH = nov, NUMBER = {11}, PAGES = {1235--1243}, TITLE = {Toward Correctly Rounded Transcendentals}, VOLUME = {47}, YEAR = {1998}, KEYWORDS = {table maker's dilemma,elementary functions,rounding,floating-point arithmetic}, URL = {https://www.vinc17.net/research/papers/ieeetc1998-tcrt.pdf}, DOI = {10.1109/12.736435}, TAGS = {cr,tmd,lalgo} } @InCollection{LefSteZim2006a, AUTHOR = {V. Lefèvre and D. Stehlé and P. Zimmermann}, TITLE = {Worst Cases for the Exponential Function in the {IEEE} 754r decimal64 Format}, BOOKTITLE = {Reliable Implementation of Real Number Algorithms: Theory and Practice}, EDITOR = {P. Hertling and C.M. Hoffmann and W. Luther and N. Revol}, VOLUME = {5045}, SERIES = {Lecture Notes in Computer Science}, PUBLISHER = {Springer}, PAGES = {114--126}, YEAR = {2008}, KEYWORDS = {floating-point arithmetic,decimal arithmetic,table maker's dilemma,correct rounding,elementary functions}, DOI = {10.1007/978-3-540-85521-7_7}, URL = {https://www.vinc17.net/research/papers/decimalexp.pdf}, HAL_ID = {inria-00068731}, NOTE = {This publication follows the ''Reliable Implementation of Real Number Algorithms: Theory and Practice'' international seminar, Dagstuhl, Germany, January 8-13, 2006.}, TAGS = {cr,tmd,decimal} } @TechReport{LefZim2004a, AUTHOR = {V. Lefèvre and P. Zimmermann}, TITLE = {Arithmétique flottante}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-5105}, YEAR = {2004}, MONTH = feb, KEYWORDS = {floating-point number,fixed precision,arbitrary precision,correct rounding,ieee-754 standard}, URL = {https://www.vinc17.net/research/papers/arithflottante}, OTHER-URL = {https://www.vinc17.net/research/papers/arithflottante.ps.gz https://www.vinc17.net/research/papers/arithflottante.pdf}, HAL_ID = {inria-00071477} } @InProceedings{LefZim2017a, AUTHOR = {V. Lefèvre and P. Zimmermann}, TITLE = {Optimized Binary64 and Binary128 Arithmetic with {GNU MPFR}}, BOOKTITLE = {Proceedings of the 24th {IEEE} Symposium on Computer Arithmetic}, MONTH = jul, YEAR = {2017}, ADDRESS = {London, United Kingdom}, URL = {https://www.vinc17.net/research/papers/arith24.pdf}, DOI = {10.1109/ARITH.2017.28}, HAL_ID = {hal-01502326}, TAGS = {cr,mpfr} } @Misc{MPFR, AUTHOR = {G. Hanrot and V. Lefèvre and P. Pélissier and P. Zimmermann}, TITLE = {The {MPFR} Library}, YEAR = {2018}, URL = {https://www.mpfr.org/}, TAGS = {mpfr,multiprec} } % The following data correspond to the published article. The version % at citeseerx.ist.psu.edu is the author's version from January 1996, % with title "An Asymptotic Upper Bound for Multiplier Design"; it is % freely available. @TechReport{SteLefZim2002a, AUTHOR = {D. Stehlé and V. Lefèvre and P. Zimmermann}, TITLE = {Worst Cases and Lattice Reduction}, INSTITUTION = {{INRIA}}, TYPE = rr, NUMBER = {RR-4586}, YEAR = {2002}, MONTH = oct, KEYWORDS = {exact rounding,table maker's dilemma,worst case,ieee-754,lattice reduction,coppersmith's theorem}, URL = {https://www.vinc17.net/research/papers/rr_wclr.ps.gz}, HAL_ID = {inria-00071999}, TAGS = {cr,tmd,slz} } @InProceedings{SteLefZim2003a, AUTHOR = {D. Stehlé and V. Lefèvre and P. Zimmermann}, ADDRESS = {Santiago de Compostela, Spain}, BOOKTITLE = {Proceedings of the 16th {IEEE} Symposium on Computer Arithmetic}, EDITOR = {Jean-Claude Bajard and Michael Schulte}, PAGES = {142--147}, PUBLISHER = {{IEEE} Computer Society Press, Los Alamitos, CA}, TITLE = {Worst Cases and Lattice Reduction}, YEAR = {2003}, KEYWORDS = {exact rounding,table maker's dilemma,worst case,ieee-754,lattice reduction,coppersmith's theorem}, URL = {https://www.vinc17.net/research/papers/arith16.pdf}, DOI = {10.1109/ARITH.2003.1207672}, HAL_ID = {inria-00099572}, TAGS = {cr,tmd,slz} } @Article{SteLefZim2004a, AUTHOR = {D. Stehlé and V. Lefèvre and P. Zimmermann}, JOURNAL = {{IEEE} Transactions on Computers}, TITLE = {Searching Worst Cases of a One-Variable Function Using Lattice Reduction}, VOLUME = {54}, NUMBER = {3}, PAGES = {340--346}, MONTH = mar, YEAR = {2005}, URL = {https://www.vinc17.net/research/papers/ieeetc2005-wclr.pdf}, DOI = {10.1109/TC.2005.55}, HAL_ID = {inria-00000379}, TAGS = {cr,tmd,slz} } $Id: perso.bib 165752 2024-02-11 01:37:37Z vinc17/qaa $