Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
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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
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Numerical stability properties of a QR-based fast least squares algorithm
TL;DR: The numerical stability of a recent QR-based fast least-squares algorithm is established from a backward stability perspective, which frees the analysis of stationary assumptions on the filtered sequences and obviates the tedious linearization methods of previous approaches.
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Efficient implementation of rotation operations for high performance QRD-RLS filtering
TL;DR: It is shown via computer simulations that the convergence behavior of the scheme using approximate Givens rotations is insensitive to the value of r, and that the misadjustment error decreases as r is increased, opening zip possibilities for "incremental refinement" strategies.
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Floating point Cordic
G.J. Hekstra,Ed F. Deprettere +1 more
TL;DR: A full-precision floating-point Cordic algorithm, suitable for the implementation of a word-serial Cordic architecture, is presented that maintains the accuracy that is present in the input data, which makes it ideally suited for implementing a floating- point Givens operator.
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Virtually Scaling-Free Adaptive CORDIC Rotator
TL;DR: A novel CORDIC rotator algorithm that adaptively selects appropriate iteration steps and converges to the final result by executing 50% less number of iterations on an average compared to that required for the classical CORDic.
Proceedings ArticleDOI
A benchmark suite for evaluating configurable computing systems—status, reflections, and future directions
S. Kumar,L. Pires,S. Ponnuswamy,C. Nanavati,J. Golusky,M. Vojta,S. Wadi,D. Pandalai,H. Spaanenberg +8 more
TL;DR: A benchmark suite for evaluating a configurable computing system's infrastructure, both tools and architecture, using stressmarks, benchmarks that focus on a specific characteristic or property of interest is presented.
References
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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.