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17th IEEE Symposium on Computer Arithmetic (ARITH'05)
Some Functions Computable with a Fused-Mac
Cape Cod, Massachusetts, USA
June 27-June 29
ISBN: 0-7695-2366-8
Sylvie Boldo, Laboratoire LIP (CNRS/ENS Lyon/Inria/Université Lyon 1)
Jean-Michel Muller, Laboratoire LIP (CNRS/ENS Lyon/Inria/Université Lyon 1)
The fused multiply accumulate instruction (fused-mac) that is available on some current processors such as the Power PC or the Itanium eases some calculations. We give examples of some floating-point functions (such as ulp (x) or Nextafter (x, y)), or some useful tests, that are easily computable using a fused-mac. Then, we show that, with rounding to the nearest, the error of a fused-mac instruction is exactly representable as the sum of two floating-point numbers. We give an algorithm that computes that error.
Citation:
Sylvie Boldo, Jean-Michel Muller, "Some Functions Computable with a Fused-Mac," arith, pp.52-58, 17th IEEE Symposium on Computer Arithmetic (ARITH'05), 2005
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