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Computing Correctly Rounded Integer Powers in Floating-Point Arithmetic

(1, 2) , (3) , (1, 2) , (1, 2) , (1, 2)
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Abstract

We introduce several algorithms for accurately evaluating powers to a positive integer in floating-point arithmetic, assuming a fused multiply-add (fma) instruction is available. We aim at always obtaining correctly-rounded results in round-to-nearest mode, that is, our algorithms return the floating-point number that is nearest the exact value.
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Dates and versions

ensl-00278430 , version 1 (13-05-2008)

Identifiers

  • HAL Id : ensl-00278430 , version 1

Cite

Jean-Michel Muller, Peter Kornerup, Christoph Lauter, Vincent Lefèvre, Nicolas Louvet. Computing Correctly Rounded Integer Powers in Floating-Point Arithmetic. 2008. ⟨ensl-00278430⟩
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