floating-point arithmetic
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9 matching pages
1: 3.1 Arithmetics and Error Measures
2: 4.48 Software
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►All scientific programming languages, libraries, and systems support computation of at least some of the elementary functions in standard floating-point arithmetic (§3.1(i)).
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►A more complete list of available software for computing these functions is found in the Software Index; again, software that uses only standard floating-point arithmetic is excluded.
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3: Bibliography I
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IEEE Standard for Floating-Point Arithmetic.
The Institute of Electrical and Electronics Engineers, Inc..
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IEEE International Standard for Information Technology—Microprocessor Systems—Floating-Point arithmetic: IEEE Std 754-2019.
The Institute of Electrical and Electronics Engineers, Inc..
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4: Bibliography O
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Numerical Computing with IEEE Floating Point Arithmetic.
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
5: Bibliography G
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What every computer scientist should know about floating-point arithmetic.
ACM Computing Surveys 23 (1), pp. 5–48.
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6: Bibliography M
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7: Bibliography S
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Algorithm 814: Fortran 90 software for floating-point multiple precision arithmetic, gamma and related functions.
ACM Trans. Math. Software 27 (4), pp. 377–387.
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Algorithm 693: A FORTRAN package for floating-point multiple-precision arithmetic.
ACM Trans. Math. Software 17 (2), pp. 273–283.
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8: Errata
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Section 3.1
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In ¶IEEE Standard (in §3.1(i)), the description was modified to reflect the most recent IEEE 754-2019 Floating-Point Arithmetic Standard IEEE (2019). In the new standard, single, double and quad floating-point precisions are replaced with new standard names of binary32, binary64 and binary128. Figure 3.1.1 has been expanded to include the binary128 floating-point memory positions and the caption has been updated using the terminology of the 2019 standard. A sentence at the end of Subsection 3.1(ii) has been added referring readers to the IEEE Standards for Interval Arithmetic IEEE (2015, 2018).
Suggested by Nicola Torracca.
9: Bibliography C
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Uniform asymptotic expansion of an integral with a saddle point, a pole and a branch point.
Proc. Roy. Soc. London Ser. A 426, pp. 273–286.
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Level-Index Arithmetic: An Introductory Survey.
In Numerical Analysis and Parallel Processing (Lancaster, 1987), P. R. Turner (Ed.),
Lecture Notes in Math., Vol. 1397, pp. 95–168.
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Beyond floating point.
J. Assoc. Comput. Mach. 31 (2), pp. 319–328.
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The arithmetic-geometric mean of Gauss.
Enseign. Math. (2) 30 (3-4), pp. 275–330.
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Gauss and the arithmetic-geometric mean.
Notices Amer. Math. Soc. 32 (2), pp. 147–151.
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