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Source Code
1147views
9 years 5 months ago
SLEEF
SLEEF (SIMD Library for Evaluating Elementary Functions) is a library that facilitates programming with SIMD instructions. It implements the trigonometric functions, inverse trigon...

Presentation
439views
9 years 5 months ago
Efficient Evaluation Methods of Elementary Functions Suitable for SIMD Computation
Data-parallel architectures like SIMD (Single Instruction Multiple Data) or SIMT (Single Instruction Multiple Thread) have been adopted in many recent CPU and GPU architectures. Al...
TC
2008
10 years 11 months ago
Power and Area-Efficient Unified Computation of Vector and Elementary Functions for Handheld 3D Graphics Systems
A unified computation method of vector and elementary functions is proposed for handheld 3D graphics systems. It unifies vector operations like vector multiply, multiply-and-add, d...
Byeong-Gyu Nam, Hyejung Kim, Hoi-Jun Yoo
TC
1998
10 years 11 months ago
Toward Correctly Rounded Transcendentals
—The Table Maker’s Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we pr...
Vincent Lefèvre, Jean-Michel Muller, Arnaud...
CORR
2007
Springer
128views Education» more  CORR 2007»
10 years 11 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...
UMC
2000
11 years 3 months ago
Upper and Lower Bounds on Continuous-Time Computation
Abstract. We consider various extensions and modifications of Shannon's General Purpose Analog Computer, which is a model of computation by differential equations in continuou...
Manuel Lameiras Campagnolo, Cristopher Moore
ARITH
2001
IEEE
11 years 3 months ago
Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Vincent Lefèvre, Jean-Michel Muller
AISC
2000
Springer
11 years 4 months ago
Reasoning about the Elementary Functions of Complex Analysis
There are many problems with the simplification of elementary functions, particularly over the complex plane. Systems tend to make “howlers” or not to simplify enough. In thi...
Robert M. Corless, James H. Davenport, David J. Je...
ISSAC
2004
Springer
91views Mathematics» more  ISSAC 2004»
11 years 5 months ago
A poly-algorithmic approach to simplifying elementary functions
Simplification has been long recognised to be a fundamental problem within computer algebra[17]. However, even for the class of elementary functions, it has not been resolved in ...
James C. Beaumont, Russell J. Bradford, James H. D...
ISMVL
2006
IEEE
117views Hardware» more  ISMVL 2006»
11 years 5 months ago
Representations of Elementary Functions Using Binary Moment Diagrams
This paper considers representations for elementary functions such as polynomial, trigonometric, logarithmic, square root, and reciprocal functions. These real valued functions ar...
Tsutomu Sasao, Shinobu Nagayama
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