Preprints, Working Papers, ... Year : 2024

We give high level algorithms that make it possible to compute the rounded-to-nearest sum of 3 or 4 floating-point numbers in binary floating-point arithmetic. They can easily be adapted to emulate the FMA (ab + c correctly rounded) and FD2 (ab + cd correctly rounded) instructions.

Origin
Files produced by the author(s)

Dates and versions

hal-04624238 , version 1 (25-06-2024)

Identifiers

  • HAL Id : hal-04624238 , version 1

Stef Graillat, Jean-Michel Muller. Emulation of 3Sum, 4Sum, the FMA and the FD2 instructions in rounded-to-nearest floating-point arithmetic. 2024. ⟨hal-04624238⟩