Floor

Usage

• Floor[x] gives the greatest integer less than or equal to x.

Notes

• Mathematical function (see Section A.3.10).

• Examples: Floor[2.4]

; Floor[2.6]

; Floor[-2.4]

; Floor[-2.6]

• Floor[x] can be entered in StandardForm and InputForm as

or \[LeftFloor] x \[RightFloor].

• Floor[x] returns an integer when x is any numeric quantity, whether or not it is an explicit number.

• Example: Floor[Pi^2]

• For exact numeric quantities, Floor internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.

• See Section 3.2.2.

• Implementation notes: see Section A.9.4.

• See also: Ceiling, Round, IntegerPart, Chop.

• New in Version 1; modified in 3.

Further Examples