floor

Rounds to the nearest integer in the direction of −∞.

Syntax

• floor(x)

  • x is a real number

Description

If x is a real number, then floor(x) is the nearest integer that is less than x.

Notes

The circumfix operator ⌊⌋ is mapped to the floor function.

Examples

⌊π⌋

3

⌊e⌋

2

⌊−π⌋

−4

⌊−e⌋

−3

See also

• ceil (⌈⌉)

• round

• trunc