Additive symmetric: the non-negative case

Abstract : An additive symmetric b of a with respect to c satisfies c = (a+b)/2. Existence and uniqueness of such b are basic properties in exact arithmetic that fail when a and b are floating point numbers and the computation of c performed in IEEE-754 like arithmetic. We exhibit and prove conditions on the existence, the uniqueness and the exact correspondence of an additive symmetric when b and c have the same sign.
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Marc Daumas, Philippe Langlois. Additive symmetric: the non-negative case. [Research Report] LIP RR-2001-06, Laboratoire de l'informatique du parallélisme. 2001, 2+11p. ⟨hal-02101768⟩

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