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Computing Correctly Rounded Integer Powers in Floating-Point Arithmetic
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Muller, Jean-Michel Kornerup, Peter Lauter, Christoph Lefèvre, Vincent Louvet, Nicolas |
| 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. |
| File Format | |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Floating-point arithmetic Integer powers Fused multiply-add Correct rounding info Computer Science [cs] Other [cs.OH] |
| Content Type | Text |
| Resource Type | Article |