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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Journal ArticleDOI
A VLSI system architecture for high-speed radiative transfer 3D image synthesis
Jichun Bu,Ed F. Deprettere +1 more
TL;DR: A VLSI system architecture for high-speed synthesis of 3D images composed of diffusely reflective surfaces using a multiprocessor Gauss-Seidel iterative system solver and a loosely coupled sub-system.
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VLSI architecture for low latency radix-4 CORDIC
B. Lakshmi,Anindya Sundar Dhar +1 more
TL;DR: This paper proposes a pipelined architecture using signed digit arithmetic for the VLSI efficient implementation of rotational radix-4 CORDIC algorithm, eliminating z path completely and achieves latency improvement over the previously proposed radIX-4 architecture with a relatively small hardware overhead.
Proceedings ArticleDOI
A high-speed CORDIC algorithm and architecture for DSP applications
Martin Kuhlmann,Keshab K. Parhi +1 more
TL;DR: A novel CORDIC algorithm and architecture for the rotation and vectoring mode in circular coordinate systems in which the directions of all micro-rotations are precomputed while maintaining a constant scale factor is presented.
Book ChapterDOI
Floating Point Verification in HOL
TL;DR: HOL is a general-purpose prover which is equipped with an extensive and rigorous theory of real analysis, and it is explained how it can be used in floating point verification.
Journal ArticleDOI
CORDIC-Based Architecture for Computing Nth Root and Its Implementation
TL;DR: This paper presents a COordinate Rotation Digital Computer (CORDIC)-based architecture for the computation of Nth root and proves its feasibility by hardware implementation and develops a flexible architecture in terms of convergence range and precision.
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.