Stable Numerics Subroutine Library
Programming Reference Manual
Version 1.1 DD-00006-011

4.1 String representation of IR

For intervals in the IR  space there are two representation variants, for proper intervals and for singleton intervals.

Singleton Intervals


For a singleton interval, where    -
x= x a single value is represented in brackets. Examples include [8.3], [8].

Normal Intervals


For normal intervals, the infinimum and supremum are written in brackets, separated by a comma. Examples include [8.3,12.2], [8,12.6].

Empty Intervals


Empty intervals can be specified as both a singleton or a normal interval with instead of numbers the string nan. Examples include: [nan] and [nan,nan].

Whole and Unbound Intervals


Whole or unbound intervals can be specified with the corresponding element matching the string inf. Examples include: [-inf, 3] and [-inf,inf]. Note that [inf] will result in an empty interval.