Fast inverse square root (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Fast inverse square root" in English language version.
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agner.org (Global: low place; English: low place)
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archive.org (Global: 6th place; English: 6th place)
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arxiv.org (Global: 69th place; English: 59th place)
- Moroz et al. 2018. Moroz, Leonid V.; Walczyk, Cezary J.; Hrynchyshyn, Andriy; Holimath, Vijay; Cieslinski, Jan L. (January 2018). "Fast calculation of inverse square root with the use of magic constant analytical approach". Applied Mathematics and Computation. 316 (C). Elsevier Science Inc.: 245–255. arXiv:1603.04483. doi:10.1016/j.amc.2017.08.025. S2CID 7494112.
beyond3d.com (Global: low place; English: low place)
- Sommefeldt, Rys (2006-12-19). "Origin of Quake3's Fast InvSqrt() - Part Two". Beyond3D. Retrieved 2008-04-19.
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crashworks.org (Global: low place; English: low place)
assemblyrequired.crashworks.org
- Ruskin, Elan (2009-10-16). "Timing square root". Some Assembly Required. Archived from the original on 2021-02-08. Retrieved 2015-05-07.
csdn.net (Global: low place; English: low place)
bbs.csdn.net
- "Discussion on CSDN". Archived from the original on 2015-07-02.
daxia.com (Global: low place; English: low place)
- McEniry 2007, p. 2, 16. McEniry, Charles (August 2007). "The Mathematics Behind the Fast Inverse Square Root Function Code" (PDF). Archived from the original (PDF) on 2015-05-11.
- McEniry 2007, p. 3. McEniry, Charles (August 2007). "The Mathematics Behind the Fast Inverse Square Root Function Code" (PDF). Archived from the original (PDF) on 2015-05-11.
- McEniry 2007, p. 6. McEniry, Charles (August 2007). "The Mathematics Behind the Fast Inverse Square Root Function Code" (PDF). Archived from the original (PDF) on 2015-05-11.
doi.org (Global: 2nd place; English: 2nd place)
- Blinn 1997, pp. 80–84. Blinn, Jim (July 1997). "Floating Point Tricks". IEEE Computer Graphics & Applications. 17 (4): 80. doi:10.1109/38.595279.
- Zafar, Saad; Adapa, Raviteja (January 2014). "Hardware architecture design and mapping of 'Fast Inverse Square Root' algorithm". 2014 International Conference on Advances in Electrical Engineering (ICAEE). pp. 1–4. doi:10.1109/ICAEE.2014.6838433. ISBN 978-1-4799-3543-7. S2CID 2005623.
- Middendorf 2007, pp. 155–164. Middendorf, Lars; Mühlbauer, Felix; Umlauf, George; Bodba, Christophe (June 1, 2007). "Embedded Vertex Shader in FPGA" (PDF). In Rettberg, Achin (ed.). Embedded System Design: Topics, Techniques and Trends. IFIP TC10 Working Conference:International Embedded Systems Symposium (IESS). et al. Irvine, California: Springer. doi:10.1007/978-0-387-72258-0_14. ISBN 978-0-387-72257-3. Archived (PDF) from the original on 2019-05-01.
- Goldberg 1991, p. 7. Goldberg, David (1991). "What every computer scientist should know about floating-point arithmetic". ACM Computing Surveys. 23 (1): 5–48. doi:10.1145/103162.103163. S2CID 222008826.
- Goldberg 1991, pp. 15–20. Goldberg, David (1991). "What every computer scientist should know about floating-point arithmetic". ACM Computing Surveys. 23 (1): 5–48. doi:10.1145/103162.103163. S2CID 222008826.
- Goldberg 1991, p. 16. Goldberg, David (1991). "What every computer scientist should know about floating-point arithmetic". ACM Computing Surveys. 23 (1): 5–48. doi:10.1145/103162.103163. S2CID 222008826.
- Moroz et al. 2018. Moroz, Leonid V.; Walczyk, Cezary J.; Hrynchyshyn, Andriy; Holimath, Vijay; Cieslinski, Jan L. (January 2018). "Fast calculation of inverse square root with the use of magic constant analytical approach". Applied Mathematics and Computation. 316 (C). Elsevier Science Inc.: 245–255. arXiv:1603.04483. doi:10.1016/j.amc.2017.08.025. S2CID 7494112.
- Muller, Jean-Michel (December 2020). "Elementary Functions and Approximate Computing". Proceedings of the IEEE. 108 (12): 2146. doi:10.1109/JPROC.2020.2991885. ISSN 0018-9219. S2CID 219047769.
github.com (Global: 383rd place; English: 320th place)
gutenberg.org (Global: 489th place; English: 377th place)
- Hardy 1908, p. 323. Hardy, Godfrey (1908). A Course of Pure Mathematics. Cambridge, UK: Cambridge University Press. Centenary Edition, 2008, ISBN 0-521-72055-9.
inbetweennames.net (Global: low place; English: low place)
- Peelar, Shane (1 June 2021). "Fast reciprocal square root... in 1997?!".
lomont.org (Global: low place; English: low place)
- Lomont 2003, p. 1-2. Lomont, Chris (February 2003). "Fast Inverse Square Root" (PDF). Retrieved 2009-02-13.
- Lomont 2003, p. 1. Lomont, Chris (February 2003). "Fast Inverse Square Root" (PDF). Retrieved 2009-02-13.
- Lomont 2003. Lomont, Chris (February 2003). "Fast Inverse Square Root" (PDF). Retrieved 2009-02-13.
- Lomont 2003, p. 3. Lomont, Chris (February 2003). "Fast Inverse Square Root" (PDF). Retrieved 2009-02-13.
- Lomont 2003, p. 10. Lomont, Chris (February 2003). "Fast Inverse Square Root" (PDF). Retrieved 2009-02-13.
- Lomont 2003, pp. 10–11. Lomont, Chris (February 2003). "Fast Inverse Square Root" (PDF). Retrieved 2009-02-13.
mathworks.com (Global: 6,214th place; English: 4,509th place)
blogs.mathworks.com
- Moler, Cleve (19 June 2012). "Symplectic Spacewar". MATLAB Central - Cleve's Corner. MATLAB. Retrieved 2014-07-21.
mrob.com (Global: low place; English: low place)
- Munafo, Robert. "Notable Properties of Specific Numbers". mrob.com. Archived from the original on 16 November 2018.
mrober.io (Global: low place; English: low place)
- Matthew Robertson (2012-04-24). "A Brief History of InvSqrt" (PDF). UNBSJ.
netlib.org (Global: low place; English: low place)
open-std.org (Global: 4,221st place; English: 2,842nd place)
- "§ 6.5/7" (PDF), ISO/IEC 9899:2018, 2018, p. 55, archived from the original (PDF) on 2018-12-30,
An object shall have its stored value accessed only by an lvalue expression that has one of the following types: [...]
- "§ 6.5.2.3/3, footnote 97" (PDF), ISO/IEC 9899:2018, 2018, p. 59, archived from the original (PDF) on 2018-12-30,
If the member used to read the contents of a union object is not the same as the member last used to store a value in the object, the appropriate part of the object representation of the value is reinterpreted as an object representation in the new type as described in 6.2.6 (a process sometimes called "type punning").
- "Bit-casting object representations". www.open-std.org. Archived from the original on 2018-08-18. Retrieved 2018-11-10.
semanticscholar.org (Global: 11th place; English: 8th place)
api.semanticscholar.org
- Zafar, Saad; Adapa, Raviteja (January 2014). "Hardware architecture design and mapping of 'Fast Inverse Square Root' algorithm". 2014 International Conference on Advances in Electrical Engineering (ICAEE). pp. 1–4. doi:10.1109/ICAEE.2014.6838433. ISBN 978-1-4799-3543-7. S2CID 2005623.
- Goldberg 1991, p. 7. Goldberg, David (1991). "What every computer scientist should know about floating-point arithmetic". ACM Computing Surveys. 23 (1): 5–48. doi:10.1145/103162.103163. S2CID 222008826.
- Goldberg 1991, pp. 15–20. Goldberg, David (1991). "What every computer scientist should know about floating-point arithmetic". ACM Computing Surveys. 23 (1): 5–48. doi:10.1145/103162.103163. S2CID 222008826.
- Goldberg 1991, p. 16. Goldberg, David (1991). "What every computer scientist should know about floating-point arithmetic". ACM Computing Surveys. 23 (1): 5–48. doi:10.1145/103162.103163. S2CID 222008826.
- Moroz et al. 2018. Moroz, Leonid V.; Walczyk, Cezary J.; Hrynchyshyn, Andriy; Holimath, Vijay; Cieslinski, Jan L. (January 2018). "Fast calculation of inverse square root with the use of magic constant analytical approach". Applied Mathematics and Computation. 316 (C). Elsevier Science Inc.: 245–255. arXiv:1603.04483. doi:10.1016/j.amc.2017.08.025. S2CID 7494112.
- Muller, Jean-Michel (December 2020). "Elementary Functions and Approximate Computing". Proceedings of the IEEE. 108 (12): 2146. doi:10.1109/JPROC.2020.2991885. ISSN 0018-9219. S2CID 219047769.
springer.com (Global: 274th place; English: 309th place)
link.springer.com
- Middendorf 2007, pp. 155–164. Middendorf, Lars; Mühlbauer, Felix; Umlauf, George; Bodba, Christophe (June 1, 2007). "Embedded Vertex Shader in FPGA" (PDF). In Rettberg, Achin (ed.). Embedded System Design: Topics, Techniques and Trends. IFIP TC10 Working Conference:International Embedded Systems Symposium (IESS). et al. Irvine, California: Springer. doi:10.1007/978-0-387-72258-0_14. ISBN 978-0-387-72257-3. Archived (PDF) from the original on 2019-05-01.
web.archive.org (Global: 1st place; English: 1st place)
- Ruskin, Elan (2009-10-16). "Timing square root". Some Assembly Required. Archived from the original on 2021-02-08. Retrieved 2015-05-07.
- Munafo, Robert. "Notable Properties of Specific Numbers". mrob.com. Archived from the original on 16 November 2018.
- "Discussion on CSDN". Archived from the original on 2015-07-02.
- Middendorf 2007, pp. 155–164. Middendorf, Lars; Mühlbauer, Felix; Umlauf, George; Bodba, Christophe (June 1, 2007). "Embedded Vertex Shader in FPGA" (PDF). In Rettberg, Achin (ed.). Embedded System Design: Topics, Techniques and Trends. IFIP TC10 Working Conference:International Embedded Systems Symposium (IESS). et al. Irvine, California: Springer. doi:10.1007/978-0-387-72258-0_14. ISBN 978-0-387-72257-3. Archived (PDF) from the original on 2019-05-01.
- "quake3-1.32b/code/game/q_math.c". Quake III Arena. id Software. Archived from the original on 2017-07-29. Retrieved 2017-01-21.
{{cite web}}: CS1 maint: bot: original URL status unknown (link) - McEniry 2007, p. 2, 16. McEniry, Charles (August 2007). "The Mathematics Behind the Fast Inverse Square Root Function Code" (PDF). Archived from the original (PDF) on 2015-05-11.
- "§ 6.5/7" (PDF), ISO/IEC 9899:2018, 2018, p. 55, archived from the original (PDF) on 2018-12-30,
An object shall have its stored value accessed only by an lvalue expression that has one of the following types: [...]
- "§ 6.5.2.3/3, footnote 97" (PDF), ISO/IEC 9899:2018, 2018, p. 59, archived from the original (PDF) on 2018-12-30,
If the member used to read the contents of a union object is not the same as the member last used to store a value in the object, the appropriate part of the object representation of the value is reinterpreted as an object representation in the new type as described in 6.2.6 (a process sometimes called "type punning").
- "Bit-casting object representations". www.open-std.org. Archived from the original on 2018-08-18. Retrieved 2018-11-10.
- McEniry 2007, p. 3. McEniry, Charles (August 2007). "The Mathematics Behind the Fast Inverse Square Root Function Code" (PDF). Archived from the original (PDF) on 2015-05-11.
- McEniry 2007, p. 6. McEniry, Charles (August 2007). "The Mathematics Behind the Fast Inverse Square Root Function Code" (PDF). Archived from the original (PDF) on 2015-05-11.
- Kadlec, Jan (2010). "Řrřlog::Improving the fast inverse square root" (personal blog). Archived from the original on 2018-07-09. Retrieved 2020-12-14.
worldcat.org (Global: 5th place; English: 5th place)
search.worldcat.org
wz.cz (Global: low place; English: low place)
rrrola.wz.cz
- Kadlec, Jan (2010). "Řrřlog::Improving the fast inverse square root" (personal blog). Archived from the original on 2018-07-09. Retrieved 2020-12-14.