Function: entire ()
Function: entire (N)
Function: entire (N, M)

Return the entire set of real numbers.

With additional parameters, create an interval vector/matrix/array, which comprises entire interval entries.

The entire set of real numbers [Entire] is a closed interval. If used as an enclosure for a certain value, it represents a state of minimum constraints. An interval function which evaluates to [Entire] yields no information at all if no interval decoration is present.

The special floating-point values -Inf and Inf represent boundaries of the entire set of real numbers. However, they are not members of the interval.

The result of this function carries the defined and continuous dac decoration, which denotes that the interval is not bounded and therefore is no common interval.

Accuracy: The representation of the entire set of real numbers is exact.

x = entire ()
  ⇒ x = [Entire]_dac
inf (x)
  ⇒ ans = -Inf
sup (x)
  ⇒ ans = Inf

See also: @infsup/isentire, empty.

Package: interval