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A unified algorithm for elementary functions
Open accessAbstract
This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arctanh, In, exp and square-root. The basis for the algorithm is coordinate rotation in a linear, circular, or hyperbolic coordinate system depending on which function is to be calculated. The only operations required are shifting, adding, subtracting and the recall of prestored constants. The limited domain of convergence of the algorithm is calculated, leading to a discussion of the modifications required to extend the domain for floating point calculations.
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Cited by
50 Years of CORDIC: Algorithms, Architectures, and Applications
Meher, P. K., Valls, J., Juang, T.-B., Sridharan, K., & Maharatna, K. (2009) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2009.2025803 · Cited by 580
Fast Algorithms for Signal Processing
Blahut, R. E. (2010) · doi:10.1017/cbo9780511760921 · Cited by 274
Metadata
- Authors
- Walther, J. S.
- Venue
- Proceedings of the May 18-20, 1971, spring joint computer conference on - AFIPS '71 (Spring)
- Publisher
- ACM Press
- Published
- 1971
- Pages
- 379
- OpenAlex
- W1985956780
- Cited by
- 1,036
- References
- 0
- Type
- conference abstract
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: A unified algorithm for elementary functions. https://app.cochat.ai/papers/10.1145/1478786.1478840
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- Walther, J. S. (1971). A unified algorithm for elementary functions. Proceedings of the May 18-20, 1971, spring joint computer conference on - AFIPS '71 (Spring). https://doi.org/10.1145/1478786.1478840
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
