Division algorithm (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Division algorithm" in English language version.

refsWebsite

Global rank English rank

19web.archive.org

1^st place

10doi.org

2^nd place

3ieee.org

652^nd place

515^th place

2worldcat.org

5^th place

2psu.edu

207^th place

136^th place

2handle.net

102^nd place

76^th place

2semanticscholar.org

11^th place

8^th place

2gmplib.org

low place

2stanford.edu

179^th place

183^rd place

1microsoft.com

153^rd place

151^st place

1books.google.com

3^rd place

1scitation.org

4,352^nd place

3,229^th place

1harvard.edu

18^th place

17^th place

1hmc.edu

low place

9,532^nd place

1computerhistory.org

2,213^th place

1,495^th place

1oup.com

485^th place

440^th place

1intel.com

1,118^th place

825^th place

1righto.com

low place

1mit.edu

415^th place

327^th place

1acsel-lab.com

low place

1researchgate.net

120^th place

125^th place

1treskal.com

low place

1mpg.de

1,624^th place

1,592^nd place

1acm.org

1,185^th place

840^th place

1ridiculousfish.com

low place

1libdivide.com

low place

1massmind.org

low place

1drexel.edu

9,118^th place

5,661^st place

1charleston.edu

low place

acm.org

portal.acm.org

Barrett, Paul (1987). "Implementing the Rivest Shamir and Adleman public key encryption algorithm on a standard digital signal processor". Proceedings on Advances in cryptology---CRYPTO '86. London, UK: Springer-Verlag. pp. 311–323. ISBN 0-387-18047-8.

acsel-lab.com

Oberman, Stuart F. (1999). "Floating point division and square root algorithms and implementation in the AMD-K7 Microprocessor" (PDF). Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336). pp. 106–115. doi:10.1109/ARITH.1999.762835. ISBN 0-7695-0116-8. S2CID 12793819. Archived (PDF) from the original on 2015-11-29. Retrieved 2015-09-15.

books.google.com

Morris, James E.; Iniewski, Krzysztof (2017-11-22). Nanoelectronic Device Applications Handbook. CRC Press. ISBN 978-1-351-83197-0.

charleston.edu

lemesurierb.people.charleston.edu

"9. Machine Numbers, Rounding Error and Error Propagation". College of Charleston. 8 February 2021.

computerhistory.org

Cocke, John; Sweeney, D.W. (11 February 1957), High speed arithmetic in a parallel device (Company Memo), IBM, p. 20, archived from the original on 24 August 2022, retrieved 24 August 2022{{citation}}: CS1 maint: location missing publisher (link)

doi.org

Shaw, Robert F. (1950). "Arithmetic Operations in a Binary Computer". Review of Scientific Instruments. 21 (8): 690. Bibcode:1950RScI...21..687S. doi:10.1063/1.1745692. ISSN 0034-6748. Archived from the original on 2022-02-28. Retrieved 2022-02-28.
McCann, Mark; Pippenger, Nicholas (2005). "SRT Division Algorithms as Dynamical Systems". SIAM Journal on Computing. 34 (6): 1279–1301. CiteSeerX 10.1.1.72.6993. doi:10.1137/S009753970444106X. hdl:2429/12179. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
Robertson, James (1958-09-01). "A New Class of Digital Division Methods". IRE Transactions on Electronic Computers. EC-7 (3). IEEE: 218–222. doi:10.1109/TEC.1958.5222579. hdl:2027/uiuo.ark:/13960/t0gt7529c. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
Tocher, K.D. (1958-01-01). "Techniques of Multiplication and Division for Automatic Binary Computers". The Quarterly Journal of Mechanics and Applied Mathematics. 11 (3): 364–384. doi:10.1093/qjmam/11.3.364. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
"Authors". IBM Journal of Research and Development. 11: 125–127. 1967. doi:10.1147/rd.111.0125. Archived from the original on 18 July 2018.
Oberman, Stuart F. (1999). "Floating point division and square root algorithms and implementation in the AMD-K7 Microprocessor" (PDF). Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336). pp. 106–115. doi:10.1109/ARITH.1999.762835. ISBN 0-7695-0116-8. S2CID 12793819. Archived (PDF) from the original on 2015-11-29. Retrieved 2015-09-15.
Soderquist, Peter; Leeser, Miriam (July–August 1997). "Division and Square Root: Choosing the Right Implementation". IEEE Micro. 17 (4): 56–66. doi:10.1109/40.612224.
Guy, Even; Peter, Siedel; Ferguson, Warren (1 February 2005). "A parametric error analysis of Goldschmidt's division algorithm". Journal of Computer and System Sciences. 70 (1): 118–139. doi:10.1016/j.jcss.2004.08.004.
Granlund, Torbjörn; Montgomery, Peter L. (June 1994). "Division by Invariant Integers using Multiplication" (PDF). SIGPLAN Notices. 29 (6): 61–72. CiteSeerX 10.1.1.1.2556. doi:10.1145/773473.178249. Archived (PDF) from the original on 2019-06-06. Retrieved 2015-12-08.
Möller, Niels; Granlund, Torbjörn (February 2011). "Improved Division by Invariant Integers" (PDF). IEEE Transactions on Computers. 60 (2): 165–175. doi:10.1109/TC.2010.143. S2CID 13347152. Archived (PDF) from the original on 2015-12-22. Retrieved 2015-12-08.

drexel.edu

cs.drexel.edu

L. Popyack, Jeffrey (June 2000). "Rounding Error". Drexel University.

gmplib.org

Granlund, Torbjörn; Montgomery, Peter L. (June 1994). "Division by Invariant Integers using Multiplication" (PDF). SIGPLAN Notices. 29 (6): 61–72. CiteSeerX 10.1.1.1.2556. doi:10.1145/773473.178249. Archived (PDF) from the original on 2019-06-06. Retrieved 2015-12-08.
Möller, Niels; Granlund, Torbjörn (February 2011). "Improved Division by Invariant Integers" (PDF). IEEE Transactions on Computers. 60 (2): 165–175. doi:10.1109/TC.2010.143. S2CID 13347152. Archived (PDF) from the original on 2015-12-22. Retrieved 2015-12-08.

handle.net

hdl.handle.net

McCann, Mark; Pippenger, Nicholas (2005). "SRT Division Algorithms as Dynamical Systems". SIAM Journal on Computing. 34 (6): 1279–1301. CiteSeerX 10.1.1.72.6993. doi:10.1137/S009753970444106X. hdl:2429/12179. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
Robertson, James (1958-09-01). "A New Class of Digital Division Methods". IRE Transactions on Electronic Computers. EC-7 (3). IEEE: 218–222. doi:10.1109/TEC.1958.5222579. hdl:2027/uiuo.ark:/13960/t0gt7529c. Archived from the original on 2022-08-24. Retrieved 2022-08-24.

harvard.edu

ui.adsabs.harvard.edu

Shaw, Robert F. (1950). "Arithmetic Operations in a Binary Computer". Review of Scientific Instruments. 21 (8): 690. Bibcode:1950RScI...21..687S. doi:10.1063/1.1745692. ISSN 0034-6748. Archived from the original on 2022-02-28. Retrieved 2022-02-28.

hmc.edu

pages.hmc.edu

Harris, David L.; Oberman, Stuart F.; Horowitz, Mark A. (9 September 1998). SRT Division: Architectures, Models, and Implementations (PDF) (Technical report). Stanford University. Archived (PDF) from the original on 24 December 2016. Retrieved 23 December 2016.

ieee.org

ieeexplore.ieee.org

McCann, Mark; Pippenger, Nicholas (2005). "SRT Division Algorithms as Dynamical Systems". SIAM Journal on Computing. 34 (6): 1279–1301. CiteSeerX 10.1.1.72.6993. doi:10.1137/S009753970444106X. hdl:2429/12179. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
Robertson, James (1958-09-01). "A New Class of Digital Division Methods". IRE Transactions on Electronic Computers. EC-7 (3). IEEE: 218–222. doi:10.1109/TEC.1958.5222579. hdl:2027/uiuo.ark:/13960/t0gt7529c. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
"Authors". IBM Journal of Research and Development. 11: 125–127. 1967. doi:10.1147/rd.111.0125. Archived from the original on 18 July 2018.

intel.com

"Statistical Analysis of Floating Point Flaw". Intel Corporation. 1994. Archived from the original on 23 October 2013. Retrieved 22 October 2013.

libdivide.com

ridiculous_fish. "libdivide, optimized integer division". Archived from the original on 23 November 2021. Retrieved 6 July 2021.

massmind.org

techref.massmind.org

LaBudde, Robert A.; Golovchenko, Nikolai; Newton, James; and Parker, David; Massmind: "Binary Division by a Constant" Archived 2022-01-09 at the Wayback Machine

microsoft.com

Rodeheffer, Thomas L. (2008-08-26). Software Integer Division (PDF) (Technical report). Microsoft Research, Silicon Valley.

mit.edu

dspace.mit.edu

Goldschmidt, Robert E. (1964). Applications of Division by Convergence (PDF) (Thesis). M.Sc. dissertation. M.I.T. OCLC 34136725. Archived (PDF) from the original on 2015-12-10. Retrieved 2015-09-15.

mpg.de

domino.mpi-inf.mpg.de

Joachim Ziegler, Christoph Burnikel (1998), Fast Recursive Division, Max-Planck-Institut für Informatik, archived from the original on 2011-04-26, retrieved 2021-09-10{{citation}}: CS1 maint: location missing publisher (link)

oup.com

academic.oup.com

Tocher, K.D. (1958-01-01). "Techniques of Multiplication and Division for Automatic Binary Computers". The Quarterly Journal of Mechanics and Applied Mathematics. 11 (3): 364–384. doi:10.1093/qjmam/11.3.364. Archived from the original on 2022-08-24. Retrieved 2022-08-24.

psu.edu

citeseerx.ist.psu.edu

McCann, Mark; Pippenger, Nicholas (2005). "SRT Division Algorithms as Dynamical Systems". SIAM Journal on Computing. 34 (6): 1279–1301. CiteSeerX 10.1.1.72.6993. doi:10.1137/S009753970444106X. hdl:2429/12179. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
Granlund, Torbjörn; Montgomery, Peter L. (June 1994). "Division by Invariant Integers using Multiplication" (PDF). SIGPLAN Notices. 29 (6): 61–72. CiteSeerX 10.1.1.1.2556. doi:10.1145/773473.178249. Archived (PDF) from the original on 2019-06-06. Retrieved 2015-12-08.

researchgate.net

Soderquist, Peter; Leeser, Miriam (July–August 1997). "Division and Square Root: Choosing the Right Implementation". IEEE Micro. 17 (4): 56–66. doi:10.1109/40.612224.

ridiculousfish.com

ridiculous_fish. "Labor of Division (Episode III): Faster Unsigned Division by Constants" Archived 2022-01-08 at the Wayback Machine. 2011.

righto.com

Shirriff, Ken (28 Dec 2024). "Intel's $475 million error: the silicon behind the Pentium division bug". Righto. Retrieved 30 Dec 2024.

scitation.org

aip.scitation.org

Shaw, Robert F. (1950). "Arithmetic Operations in a Binary Computer". Review of Scientific Instruments. 21 (8): 690. Bibcode:1950RScI...21..687S. doi:10.1063/1.1745692. ISSN 0034-6748. Archived from the original on 2022-02-28. Retrieved 2022-02-28.

semanticscholar.org

api.semanticscholar.org

Oberman, Stuart F. (1999). "Floating point division and square root algorithms and implementation in the AMD-K7 Microprocessor" (PDF). Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336). pp. 106–115. doi:10.1109/ARITH.1999.762835. ISBN 0-7695-0116-8. S2CID 12793819. Archived (PDF) from the original on 2015-11-29. Retrieved 2015-09-15.
Möller, Niels; Granlund, Torbjörn (February 2011). "Improved Division by Invariant Integers" (PDF). IEEE Transactions on Computers. 60 (2): 165–175. doi:10.1109/TC.2010.143. S2CID 13347152. Archived (PDF) from the original on 2015-12-22. Retrieved 2015-12-08.

stanford.edu

web.stanford.edu

Flynn. "Stanford EE486 (Advanced Computer Arithmetic Division) – Chapter 5 Handout (Division)" (PDF). Stanford University. Archived (PDF) from the original on 2022-04-18. Retrieved 2019-06-24.

i.stanford.edu

Oberman, Stuart F.; Flynn, Michael J. (July 1995). An Analysis of Division Algorithms and Implementations (PDF) (Technical report). Stanford University. CSL-TR-95-675. Archived (PDF) from the original on 2017-05-17. Retrieved 2016-12-23.

treskal.com

Hasselström, Karl (2003). Fast Division of Large Integers: A Comparison of Algorithms (PDF) (M.Sc. in Computer Science thesis). Royal Institute of Technology. Archived from the original (PDF) on 8 July 2017. Retrieved 2017-07-08.

web.archive.org

Shaw, Robert F. (1950). "Arithmetic Operations in a Binary Computer". Review of Scientific Instruments. 21 (8): 690. Bibcode:1950RScI...21..687S. doi:10.1063/1.1745692. ISSN 0034-6748. Archived from the original on 2022-02-28. Retrieved 2022-02-28.
Flynn. "Stanford EE486 (Advanced Computer Arithmetic Division) – Chapter 5 Handout (Division)" (PDF). Stanford University. Archived (PDF) from the original on 2022-04-18. Retrieved 2019-06-24.
Harris, David L.; Oberman, Stuart F.; Horowitz, Mark A. (9 September 1998). SRT Division: Architectures, Models, and Implementations (PDF) (Technical report). Stanford University. Archived (PDF) from the original on 24 December 2016. Retrieved 23 December 2016.
McCann, Mark; Pippenger, Nicholas (2005). "SRT Division Algorithms as Dynamical Systems". SIAM Journal on Computing. 34 (6): 1279–1301. CiteSeerX 10.1.1.72.6993. doi:10.1137/S009753970444106X. hdl:2429/12179. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
Cocke, John; Sweeney, D.W. (11 February 1957), High speed arithmetic in a parallel device (Company Memo), IBM, p. 20, archived from the original on 24 August 2022, retrieved 24 August 2022{{citation}}: CS1 maint: location missing publisher (link)
Robertson, James (1958-09-01). "A New Class of Digital Division Methods". IRE Transactions on Electronic Computers. EC-7 (3). IEEE: 218–222. doi:10.1109/TEC.1958.5222579. hdl:2027/uiuo.ark:/13960/t0gt7529c. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
Tocher, K.D. (1958-01-01). "Techniques of Multiplication and Division for Automatic Binary Computers". The Quarterly Journal of Mechanics and Applied Mathematics. 11 (3): 364–384. doi:10.1093/qjmam/11.3.364. Archived from the original on 2022-08-24. Retrieved 2022-08-24.
"Statistical Analysis of Floating Point Flaw". Intel Corporation. 1994. Archived from the original on 23 October 2013. Retrieved 22 October 2013.
Oberman, Stuart F.; Flynn, Michael J. (July 1995). An Analysis of Division Algorithms and Implementations (PDF) (Technical report). Stanford University. CSL-TR-95-675. Archived (PDF) from the original on 2017-05-17. Retrieved 2016-12-23.
Goldschmidt, Robert E. (1964). Applications of Division by Convergence (PDF) (Thesis). M.Sc. dissertation. M.I.T. OCLC 34136725. Archived (PDF) from the original on 2015-12-10. Retrieved 2015-09-15.
"Authors". IBM Journal of Research and Development. 11: 125–127. 1967. doi:10.1147/rd.111.0125. Archived from the original on 18 July 2018.
Oberman, Stuart F. (1999). "Floating point division and square root algorithms and implementation in the AMD-K7 Microprocessor" (PDF). Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336). pp. 106–115. doi:10.1109/ARITH.1999.762835. ISBN 0-7695-0116-8. S2CID 12793819. Archived (PDF) from the original on 2015-11-29. Retrieved 2015-09-15.
Hasselström, Karl (2003). Fast Division of Large Integers: A Comparison of Algorithms (PDF) (M.Sc. in Computer Science thesis). Royal Institute of Technology. Archived from the original (PDF) on 8 July 2017. Retrieved 2017-07-08.
Joachim Ziegler, Christoph Burnikel (1998), Fast Recursive Division, Max-Planck-Institut für Informatik, archived from the original on 2011-04-26, retrieved 2021-09-10{{citation}}: CS1 maint: location missing publisher (link)
Granlund, Torbjörn; Montgomery, Peter L. (June 1994). "Division by Invariant Integers using Multiplication" (PDF). SIGPLAN Notices. 29 (6): 61–72. CiteSeerX 10.1.1.1.2556. doi:10.1145/773473.178249. Archived (PDF) from the original on 2019-06-06. Retrieved 2015-12-08.
Möller, Niels; Granlund, Torbjörn (February 2011). "Improved Division by Invariant Integers" (PDF). IEEE Transactions on Computers. 60 (2): 165–175. doi:10.1109/TC.2010.143. S2CID 13347152. Archived (PDF) from the original on 2015-12-22. Retrieved 2015-12-08.
ridiculous_fish. "Labor of Division (Episode III): Faster Unsigned Division by Constants" Archived 2022-01-08 at the Wayback Machine. 2011.
ridiculous_fish. "libdivide, optimized integer division". Archived from the original on 23 November 2021. Retrieved 6 July 2021.
LaBudde, Robert A.; Golovchenko, Nikolai; Newton, James; and Parker, David; Massmind: "Binary Division by a Constant" Archived 2022-01-09 at the Wayback Machine

worldcat.org

search.worldcat.org

Shaw, Robert F. (1950). "Arithmetic Operations in a Binary Computer". Review of Scientific Instruments. 21 (8): 690. Bibcode:1950RScI...21..687S. doi:10.1063/1.1745692. ISSN 0034-6748. Archived from the original on 2022-02-28. Retrieved 2022-02-28.
Goldschmidt, Robert E. (1964). Applications of Division by Convergence (PDF) (Thesis). M.Sc. dissertation. M.I.T. OCLC 34136725. Archived (PDF) from the original on 2015-12-10. Retrieved 2015-09-15.