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
High-performance mathematical functions for single-core architectures
TL;DR: It is confirmed that the processor micro-architecture side by side manual optimization techniques ameliorate computing performance significantly as compared to not only the standard math library's built-in functions with compiler optimizing options but also Intel® Itanium® library's highly optimized mathematical functions.
Proceedings ArticleDOI
Accurate function approximations by symmetric table lookup and addition
TL;DR: This paper presents a high-speed method for accurate function approximations that employs parallel table lookups followed by multi-operand addition and provides a closed form solution for the table entries and can be applied to a variety of elementary functions.
Journal ArticleDOI
RIPS: a platform for experimental real-time sensory-based robot control
Yao Wang,S.E. Butner +1 more
TL;DR: The design and performance benchmarking of the prototype robotic instruction processing systems (RIPS) at the Center for Robotic Systems in Microelectronics at the University of California-Santa Barbara, is discussed.
Proceedings ArticleDOI
ASIC design of low-power reconfigurable FFT processor
Guihua Liu,Quanyuan Feng +1 more
TL;DR: An improved ASIC design of a low-power reconfigurable FFT processor for handling high speed digital signal and results in a substantial savings in hardware resources and the amount of delay elements is proposed.
Proceedings ArticleDOI
Flat CORDIC: a unified architecture for high-speed generation of trigonometric and hyperbolic functions
B. Gisuthan,T. Srikanthan +1 more
TL;DR: The techniques devised for the VLSI efficient implementation of a 16-bit unified flat CORDIC architecture are presented and it is shown that the flat CordIC based sine-cosine generators are, on an average, 30% faster with a significant 30% saving in silicon area.
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.