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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Realization of Fixed Angle Rotation for Co-Ordinate Rotation Digital Computer
G. Renuka,M. Sandhya Rani +1 more
TL;DR: This paper presents optimization schemes and CORDIC circuits for fixed and known rotations with different levels of accuracy, and proposes a hardwired pre-shifting scheme in barrel-shifters of the proposed circuits for reducing the area and time-complexities.
Dissertation
Arquitectura de procesadores especializados en cálculo geométrico: aplicación a procesos de fabricación
TL;DR: In this article, a modelo de procesamiento that is adecuado to the requerimientos of computacion propios del ambito de los procesos de fabricacion, in which is determinante the naturaleza geometrica of the operandos con which se trabaja, is presented.
Journal ArticleDOI
Computer Arithmetic: An Introduction and Overview
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DSP for VLSI and vice-versa
J. Fox,A. S. Bhandal,G. E. Dixon +2 more
TL;DR: It is shown how with current techniques processing throughput rates in excess of 5000MOps are readily achievable in single chip.
Proceedings ArticleDOI
Floating-point adaptive CORDIC (FPA-CORDIC) algorithm for elementary function calculation
TL;DR: A floating-point adaptive CORDIC algorithm that removes the main limitations of the standard algorithm and requires lesser number of iterations and has higher range and lower arithmetic noise.
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.