Perhaps we shouldn't assume that the last binary digit is accurate.
Previous calculations could reduce precision. And usually input is not
accurate - especially to 16 significant digits. Often the input may not
even be correct in the first digit.
On Thu, Apr 12, 2018 at 5:20 PM, Raul Miller wrote
Conceptually, a floating point number does not represent a precise
value. Instead, it represents a value from an interval which extends
roughly half a bit lower and half a bit higher in the largest
fractional position which can't be represented in that floating point
format.
But not only is that a
