The Art of Mathematics

Help 6.29

floor — floor function

1. Definition

Floor is the nearest integer to the left — the larget integer less than or equal to the argument.

2. Graph

Floor function defined everywhere on real axis — so, its domain is (−∞, +∞). Its stair-like graph is depicted below — fig. 1.

Fig. 1. Graph y = floor x. Fig. 1. Graph of the floor function y = floorx.

Function codomain is the set of integer numbers.

3. How to use

To calculate floor of the number:


To get floor of the complex number:


To get floor of the current result:


To get floor of the number z in calculator memory:


4. Support

Floor function of the complex argument is supported in professional version of the Librow calculator.