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Proceedings ArticleDOI

A unified algorithm for elementary functions

J. S. Walther
- pp 379-385
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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 calculations

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Citations
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Journal ArticleDOI

Como Trabajan las Calculadoras

TL;DR: The CORDIC metodo as mentioned in this paper is a simple algoritmo used by a calculadora to evaluate the mayoria of funciones (trigonometricas, logaritmicas, exponenciales, hiperbolicas, etc.), and aun mas, se usa el same metodo for efectuar multiplicaciones y divisiones.
Book ChapterDOI

A Hardware Approach to Interval Arithmetic for Sine and Cosine Functions

TL;DR: Some minimal modifications to the CORDIC architecture are proposed to efficiently support either interval or regular sine and cosine functions, and a low worst case error is obtained.
Proceedings ArticleDOI

An adaptive vector parallel supported transcendental function unit for stream processor

TL;DR: A stream processor with a transcendental function unit is addressed in this paper, which is based on the Cordic algorithm, and the maximum speed-up ratio is up to 3.2 compared with the primal stream processor.
Proceedings ArticleDOI

FPGA prototyping for CORDIC-based OFDM baseband receiver

TL;DR: A FPGA prototyping of CORDIC-based OFDM baseband receiver is presented to demonstrate the joint carrier synchronization and channel equalization algorithm.
Proceedings ArticleDOI

Design and Implementation of CORDIC algorithm using Integrated Adder and Subtractor

TL;DR: In this article, a new integrated adder and subtractor designed using reversible gates in the place of binary adders and subtractors used in the previous design has been implemented using a variety of FPGA families.
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.
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