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Conference Papers Year : 2020

Alternative Split Functions and Dekker's Product

Abstract

We introduce algorithms for splitting a positive binary floating-point number into two numbers of around half the system precision, using arithmetic operations all rounded either toward −∞ or toward +∞. We use these algorithms to compute "exact" products (i.e., to express the product of two floating-point numbers as the unevaluated sum of two floating-point numbers, the rounded product and an error term). This is similar to the classical Dekker product, adapted here to directed roundings.
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Dates and versions

hal-02470782 , version 1 (07-02-2020)
hal-02470782 , version 2 (14-05-2020)

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Stef Graillat, Vincent Lefèvre, Jean-Michel Muller. Alternative Split Functions and Dekker's Product. ARITH-2020 - IEEE 27th Symposium on Computer Arithmetic, Jun 2020, Portland, United States. pp.1-7, ⟨10.1109/ARITH48897.2020.00015⟩. ⟨hal-02470782v2⟩
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