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:
Or with yarn:
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
Like all my libraries, Angles.js is written to minimize size after compression with Google Closure Compiler in advanced mode. The code style is optimized to maximize compressibility. If you extend the library, please preserve this style.
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
Copyright and Licensing
Copyright (c) 2025, Robert Eisele Licensed under the MIT license.