Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
TLDR
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.Abstract:
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 calculationsread more
Citations
More filters
Journal ArticleDOI
On hardware for computing exponential and trigonometric functions
TL;DR: This paper presents new, fast hardware for computing the exponential function, sine, and cosine by using low-precision arithmetic components to approximate high precision computations, and to correct very quickly the approximation error periodically.
Journal ArticleDOI
Para-CORDIC: parallel CORDIC rotation algorithm
TL;DR: The parallel COrdinate Rotation DIgital Computer (CORDIC) rotation algorithm in circular and hyperbolic coordinate is proposed and the critical path delay is reduced since the concurrently predicted rotations can be combined using multioperand carry-save addition structures.
Patent
Floating point numeric data processor
TL;DR: In this paper, a numeric data processor has been adapted to evaluate a large set of transcendental functions, including trigonometric, logarithmic and exponential, consistent with the IEEE Standard, without requiring a software envelope.
Patent
Omnidirectional sensor array system
Luigi Bagnato,Laurent Jacques,Pierre Vandergheynst,Hossein Afshari,Alexandre Schmid,Yusuf Leblebici +5 more
TL;DR: An omnidirectional sensor array system, for example a panoptic camera, comprising a plurality of sensors arranged on a support of predetermined shape to acquire data, wherein said sensors are directional and each sensor is attached to a processing node which comprises integrated electronics that carries out at least a portion of the signal processing algorithms locally in order to reduce the computational load of a central hardware unit as discussed by the authors.
Journal ArticleDOI
Evaluating elementary functions in a numerical coprocessor based on rational approximations
Israel Koren,O. Zinaty +1 more
TL;DR: It is concluded that rational approximations can successfully complete with previously used methods when execution time and silicon area are considered.
References
More filters
Journal ArticleDOI
The CORDIC Trigonometric Computing Technique
TL;DR: The trigonometric algorithms used in this computer and the instrumentation of these algorithms are discussed in this paper.
Journal ArticleDOI
Decimal-Binary Conversions in CORDIC
TL;DR: The CORDIC conversion technique is sufficiently general to be applied to decimal-binary conversion problems involving other mixed radix systems and other decimal codes.