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
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Journal ArticleDOI
A Disturbance-free Surface Profile Measuring System with Sinusoidal Phase integrating-bucket Modulation
TL;DR: A surface profile measuring system based on fringe projection and sinusoidal phase integrating-bucket modulation has been thoroughly studied and described in detail in this article, where a feedback subsystem is built up for phase compensation, and a disturbance-free performance can be achieved with a phase stability of 5.25 mrad for fringes, which is conducive to the high resolution surface profile measurement.
Journal ArticleDOI
Fast CORDIC Algorithm Based on a New Recoding Scheme for Rotation Angles and Variable Scale Factors
Jen-Chuan Chih,Sau-Gee Chen +1 more
TL;DR: A new rotation mode CORDIC algorithm, which considerably reduces the iteration number by combining several design techniques and a new table-lookup recoding scheme for rotation angles and variable scale factors is developed to reduce the iteration numbers for rotation and scale factor compensation.
Journal Article
Radix-2-4-8 CORDIC for fast vector rotation
TL;DR: The proposed radix-2-4-8 CORDIC algorithm dynamically changes the radix of computation during operation, and makes possible the reduction in the number of iterations by 37% for 64-bit precision.
Journal ArticleDOI
Optimal partitioning of Newton’s method for calculating roots
Guenter Meinardus,G.D Taylor +1 more
TL;DR: In this paper, an algorithm for calculating roots is given that is Newton's method initialized with a piecewise best starting approximation, which corresponds to a partition of the interval of the domain of the original method and is shown how to choose this partition to be optimal.
Proceedings ArticleDOI
Low power and fast CORDIC processor for vector rotation
Tso-Bing Juang,Shen Fu Hsiao +1 more
TL;DR: This paper proposes a new fast and low power CORDIC processor design for vector rotation, capable of evaluating many elementary arithmetic functions and has been applied in various areas such as arithmetic function units, computer graphics, robot control, and many digital signal processing applications.
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.