SLEEF: A Portable Vectorized Library of C Standard Mathematical Functions

In this article, we present techniques used to implement our portable vectorized library of C standard mathematical functions written entirely in C language. In order to make the library portable while maintaining good performance, intrinsic functions of vector extensions are abstracted by inline fu...

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Bibliographic Details
Published in:IEEE transactions on parallel and distributed systems Vol. 31; no. 6; pp. 1316 - 1327
Main Authors: Shibata, Naoki, Petrogalli, Francesco
Format: Journal Article
Language:English
Published: New York IEEE 01.06.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Computer architecture
elementary functions
Feature extraction
Floating point arithmetic
Language preprocessors
Libraries
Macros
Mathematical analysis
Mathematical functions
Open source software
Optimization
Parallel and vector implementations
Portability
Program processors
Registers
SIMD processors
Trigonometric functions
ISSN:1045-9219, 1558-2183
Online Access:Get full text
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Summary:In this article, we present techniques used to implement our portable vectorized library of C standard mathematical functions written entirely in C language. In order to make the library portable while maintaining good performance, intrinsic functions of vector extensions are abstracted by inline functions or preprocessor macros. We implemented the functions so that they can use sub-features of vector extensions such as fused multiply-add, mask registers, and extraction of mantissa. In order to make computation with SIMD instructions efficient, the library only uses a small number of conditional branches, and all the computation paths are vectorized. We devised a variation of the Payne-Hanek argument reduction for trigonometric functions and a floating point remainder, both of which are suitable for vector computation. We compare the performance with our library to Intel SVML.
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ISSN:1045-9219
1558-2183
DOI:10.1109/TPDS.2019.2960333