atan2()

Baseline 2023
Newly available

Since ⁨March 2023⁩, this feature works across the latest devices and browser versions. This feature might not work in older devices or browsers.

The atan2() CSS function is a trigonometric function that returns the inverse tangent of two values between -infinity and infinity. The function accepts two arguments and returns the number of radians representing an <angle> between -180deg and 180deg.

Syntax

css
/* Two <number> values */ transform: rotate(atan2(3, 2));  /* Two <dimension> values */ transform: rotate(atan2(1rem, -0.5rem));  /* Two <percentage> values */ transform: rotate(atan2(20%, -30%));  /* Other values */ transform: rotate(atan2(pi, 45)); transform: rotate(atan2(e, 30)); 

Parameters

The atan2(y, x) function accepts two comma-separated values as its parameters. Each value can be a <number>, a <dimension>, or a <percentage>. Both values must be of the same type, although if they are <dimension> they can be of different units (example: atan2(100px, 5vw) is valid).

y

The y-coordinate of the point. A calculation which resolves to a <number>, a <dimension>, or a <percentage>.

x

The x-coordinate of the point. A calculation which resolves to a <number>, a <dimension>, or a <percentage>.

Return value

Given two values x and y, the function atan2(y, x) calculates and returns the <angle> between the positive x-axis and the ray from the origin to the point (x, y).

Formal syntax

<atan2()> = 
atan2( <calc-sum> , <calc-sum> )

<calc-sum> =
<calc-product> [ [ '+' | '-' ] <calc-product> ]*

<calc-product> =
<calc-value> [ [ '*' | / ] <calc-value> ]*

<calc-value> =
<number> |
<dimension> |
<percentage> |
<calc-keyword> |
( <calc-sum> )

<calc-keyword> =
e |
pi |
infinity |
-infinity |
NaN

Examples

>

Rotate elements

The atan2() function can be used to rotate elements as it return an <angle>.

HTML

html
<div class="box box-1"></div> <div class="box box-2"></div> <div class="box box-3"></div> <div class="box box-4"></div> <div class="box box-5"></div> 

CSS

css
div.box {   width: 100px;   height: 100px;   background: linear-gradient(orange, red); } div.box-1 {   transform: rotate(atan2(3, 2)); } div.box-2 {   transform: rotate(atan2(3%, -2%)); } div.box-3 {   transform: rotate(atan2(-1, 0.5)); } div.box-4 {   transform: rotate(atan2(1, 0.5)); } div.box-5 {   transform: rotate(atan2(1rem, -0.5rem)); } 

Result

Specifications

Specification
CSS Values and Units Module Level 4>
# trig-funcs>

Browser compatibility

See also