> ## Documentation Index
> Fetch the complete documentation index at: https://axiom.co/docs/llms.txt
> Use this file to discover all available pages before exploring further.

# Rounding functions

> Learn how to use and combine different rounding functions in APL

Use rounding functions to adjust numeric values to specific boundaries or intervals. These functions are essential for data binning, time-series aggregation, and converting continuous values to discrete buckets.

## List of functions

| Function                                                       | Description                                                                    |
| -------------------------------------------------------------- | ------------------------------------------------------------------------------ |
| [ceiling](/apl/scalar-functions/rounding-functions/ceiling)    | Rounds a number up to the smallest integer greater than or equal to the input. |
| [bin](/apl/scalar-functions/rounding-functions/bin)            | Rounds values down to an integer multiple of a specified bin size.             |
| [bin\_auto](/apl/scalar-functions/rounding-functions/bin-auto) | Rounds datetime values down to a fixed-size bin with automatic size selection. |
| [floor](/apl/scalar-functions/rounding-functions/floor)        | Rounds a number down to the largest integer less than or equal to the input.   |