Files
modeling-app/docs/kcl-std/functions/std-math-min.md
Nick Cameron df6c81b0b4 Units bug fix with modulo (#7446)
* Add degrees annotations to examples

Signed-off-by: Nick Cameron <nrc@ncameron.org>

* Fix a units bug with the modulo operation

Signed-off-by: Nick Cameron <nrc@ncameron.org>

---------

Signed-off-by: Nick Cameron <nrc@ncameron.org>
2025-06-12 08:44:55 +12:00

43 lines
47 KiB
Markdown

---
title: "min"
subtitle: "Function in std::math"
excerpt: "Compute the minimum of the given arguments."
layout: manual
---
Compute the minimum of the given arguments.
```kcl
min(@input: [number; 1+]): number
```
### Arguments
| Name | Type | Description | Required |
|----------|------|-------------|----------|
| `input` | [`[number; 1+]`](/docs/kcl-std/types/std-types-number) | An array of numbers to compute the minimum of. | Yes |
### Returns
[`number`](/docs/kcl-std/types/std-types-number) - A number.
### Examples
```kcl
exampleSketch = startSketchOn(XZ)
|> startProfile(at = [0, 0])
|> angledLine(angle = 70deg, length = min([15, 31, 4, 13, 22]))
|> line(end = [20, 0])
|> close()
example = extrude(exampleSketch, length = 5)
```
![Rendered example of min 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