Floor

Floor(expr)

gives the smallest integer less than or equal expr.

Floor(expr, a)

gives the smallest multiple of a less than or equal to expr.

See

• Wikipedia - Floor and ceiling functions

Examples

>> Floor(1/3)
0

>> Floor(-1/3)
-1

>> Floor(10.4)
10

>> Floor(10/3)
3

>> Floor(10)
10

>> Floor(21, 2)
20

>> Floor(2.6, 0.5)
2.5

>> Floor(-10.4)
-11

For complex expr, take the floor of real an imaginary parts.

>> Floor(1.5 + 2.7*I)
1+I*2

For negative a, the smallest multiple of a greater than or equal to expr is returned.

>> Floor(10.4, -1)
11

>> Floor(-10.4, -1)
-10

Related terms

IntegerPart, Ceiling, FractionalPart, Round

Implementation status

• ✅ - full supported

Github

• Implementation of Floor