We introduce two algorithms for accurately evaluating powers to a positive integer in floating-point arithmetic, assuming a fused multiply-add (fma) instruction is available. We ...
Shrinking feature sizes gives more headroom for designers to extend the functionality of microprocessors. The IEEE 754R working group has revised the IEEE 754-1985 Standard for Bi...
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
This paper deals with the design and implementation of low latency software for binary floating-point division with correct rounding to nearest. The approach we present here targe...