Angles.js

Angles.js is a collection of functions to work with angles. The aim is to have a fast and correct library, which can effortlessly convert between different units and can seamlessly work within different units. The result is a static library, which works on a configurable scale.

Examples

var angles = require('angles');
angles.SCALE = 360;
console.log(angles.normalize(365)); // 5
console.log(angles.normalize(-365)); // 355

Simply calculate the linear interpolation of the smaller angle.

var a = -30; // 330°
var b = 30;
var pct = 0.5; // Percentage between a and b

angles.SCALE = 360;

var dir = angles.shortestDirection(a, b); // -1 => Rotate CCW

console.log(angles.lerp(a, b, pct, dir)); // => 0

Having the scale configurable opens a lot of possibilities, like calculating clock-angles:

angles.SCALE = 60;
var time = new Date;
var s = time.getSeconds();
var m = time.getMinutes();
var h = time.getHours() / 23 * 59;
console.log(angles.between(s, m, h)); // true or false, if seconds clockhand is between the minutes and hours clockhand

Functions

normalizeHalf(n)

Normalizes an angle to be in the interval [-180, 180), if SCALE is 360 or [-π, π) if SCALE is 2π.

normalize(n)

Normalizes an angle to be in the interval [0, 360), if SCALE is 360 or [0, 2π) if SCALE is 2π.

shortestDirection(from, to)

Determines what the shortest rotation direction is to go from one angle to another. The result is positive if it's clock-wise.

between(n, a, b)

Determines if an angle n is between two other angles a, b. The angles don't have to be normalized.

equals(a, b)

Determines if two angles a and b are equal.

diff(a, b)

Calculates the angular difference between two angles

lerp(a, b, p[, dir=-1])

Calculates the linear interpolation of two angles

distance(a, b)

Calculate the minimal distance between two angles

toRad(n)

Calculate radians from current angle (Unit 2PI)

toDeg(n)

Calculate degrees from current angle (Unit 360)

toGon(n)

Calculate gons from current angle (Unit 400)

fromSlope(p1, p2)

Calculates the angle between the x-axis and the line formed by two points.

fromSinCos(sin, cos)

Calculates the original angle (in full resolution) based on the sine and co-sine of the angle.

quadrant(x, y[k=4[, shift=0]])

Calculates the quadrant (with k=4, or octant with k=8) in which a point with coordinates x,y falls. Optionally, the coordinate system can be rotated with the shift parameter, which follows the SCALE-attribute. A positive value rotates counter-clockwise.

compass(angle)

Translates the angle to a point of the compass ("N", "NE", "E", "SE", "S", "SW", "W", "NW") in the normal windrose way (N=0, E=90, S=180, W=270). If you want to want to have the major directions only, remove every second element from the array DIRECTIONS.

Installation

You can install Angles.js via npm:

npm install angles

Or with yarn:

yarn add angles

Alternatively, download or clone the repository:

git clone https://github.com/rawify/Angles.js

Usage

Include the angles.min.js file in your project:

<script src="path/to/angles.min.js"></script>
<script>
  console.log(Angles.normalize(128));
</script>

Or in a Node.js project:

const Angles = require('angles');

or

import Angles from 'angles';

Coding Style

As every library I publish, Angles.js is also built to be as small as possible after compressing it with Google Closure Compiler in advanced mode. Thus the coding style orientates a little on maxing-out the compression rate. Please make sure you keep this style if you plan to extend the library.

Building the library

After cloning the Git repository run:

npm install
npm run build

Run a test

Testing the source against the shipped test suite is as easy as

npm run test

Copyright and Licensing

Copyright (c) 2025, Robert Eisele Licensed under the MIT license.