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Source Code
SLEEF (SIMD Library for Evaluating Elementary Functions) is a library that facilitates programming with SIMD instructions. It implements the trigonometric functions, inverse trigon...
Presentation
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
13 years 4 months ago
2008
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...
TC
1998
13 years 4 months ago
1998
—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...
CORR
2007
Springer
13 years 4 months ago
2007
Springer
—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...
UMC
2000
13 years 8 months ago
2000
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...
ARITH
2001
IEEE
13 years 8 months ago
2001
IEEE
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...
AISC
2000
Springer
13 years 9 months ago
2000
Springer
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...
ISSAC
2004
Springer
13 years 10 months ago
2004
Springer
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 ...
ISMVL
2006
IEEE
13 years 10 months ago
2006
IEEE
This paper considers representations for elementary functions such as polynomial, trigonometric, logarithmic, square root, and reciprocal functions. These real valued functions ar...