Converting From ULP Errors to Relative Errors Let \(x\) be in the normal range, and \(|x-X|=\alpha\ulp(x)\). Then: \begin{equation*}...
There are multiple definitions of unit in the last place. I think most agree when \(x\) is not near a boundary point. Here is the...
Ranges The normal range is the set of real numbers: \(\beta^{e_{\textit{min}}}\le|x|\le\Omega\) and the subnormal range are where...
The IEEE 754-2008 specifies five rounding functions: Round toward \(-\infty\) (RD): It is the largest floating point number less than or...