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Extension of the SLZ algorithm to bivariate functions

Lauriane Turelier 1 
1 CARAMBA - Cryptology, arithmetic : algebraic methods for better algorithms
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
Abstract : I propose an extension of the SLZ algorithm to find worst cases for the correct rounding of mathematical functions of two variables. First, I recall the principle of the algorithm for univariate functions. Then, I detail the extension to the bivariate functions and I prove that the algorithm is correct. Finally, I test the algorithm with the power function in single and double precision, I calculate its computation time and I expose some improvements to make the algorithm faster.
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https://hal.inria.fr/hal-03740209
Contributor : Lauriane Turelier Connect in order to contact the contributor
Submitted on : Friday, July 29, 2022 - 8:53:03 PM
Last modification on : Thursday, August 4, 2022 - 3:25:15 AM

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  • HAL Id : hal-03740209, version 2

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Lauriane Turelier. Extension of the SLZ algorithm to bivariate functions. [Research Report] INRIA Nancy. 2022. ⟨hal-03740209v2⟩

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