Floor function

In mathematics and computer science, the floor function is the function that takes as input a real number [math]\displaystyle{ x }[/math] and gives as output the greatest integer less than or equal to [math]\displaystyle{ x }[/math], denoted [math]\displaystyle{ \operatorname{floor}(x) = \lfloor x\rfloor }[/math].

Similarly, the ceiling function maps [math]\displaystyle{ x }[/math] to the least integer greater than or equal to [math]\displaystyle{ x }[/math], denoted [math]\displaystyle{ \operatorname{ceil}(x) = \lceil x \rceil }[/math].

Examples

x	Floor [math]\displaystyle{ \lfloor x\rfloor }[/math]	Ceiling [math]\displaystyle{ \lceil x\rceil }[/math]
2	2	2
2.4	2	3
2.9	2	3
−2.7	−3	−2
−2	−2	−2

External links

• Wikipedia