JustMath.js - 2D Vector Math

An implementation of two dimensional vector math including a rich toolset for vector operations. It's also the math library behind eSoccer, a cross-platform multiplayer HTML5 game developed at University of Applied Sciences Bonn.

JustMath

• Augments core Math
• Allows replacement of all methods (e.g. custom implementations of JustMath.sqrt(value))
• Adds some convenience methods (JustMath.sq(value), JustMath.cot(angle))

JustMath.Vec2

• Vector instantiation (new Vec2(vOrX[, y])) and cloning (Vec2#clone())

• Direct modification through Vec2#x and Vec2#y, also provides getters (Vec2#getX(), Vec2#getY()) and a setter (Vec2#set(vOrX[, y]))

• Vector addition (Vec2#add(vOrX[, y])), subtraction (Vec2#sub(vOrX[, y])) and multiplication (Vec2#dot(vOrX[, y])))

• Vector orthogonality (Vec2#ort())

• Vector normalization (Vec2#norm()), scaling (Vec2#scale(factor)), inversion (Vec2#inv()) and magnitude (Vec2#mag(), Vec2#magSq()) calculation

• Vector-Vector distances (Vec2#dist(b), Vec2#distSq(b))

• Vector rotation (Vec2#rot(angle)) and direction calculation (Vec2#dir())

• Vector projection (Vec2#project(b)) and rejection (Vec2#reject(b))

• Vector reflection (Vec2#reflect(n)), also with component-wise (projected and rejected component) scaling (Vec2#reflectAndScale(n, projectFactor, rejectFactor))

• Vector interpolation (Vec2#lerp(p, percent))

• Vector containment in rectangle (Vec2#inRect(p1, p2))

• [Vector,Vector] determinant calculation (Vec2.det(v1, v2))

• Provides Vector#toString and Vector#equals()

• Provides vector operation chaining, e.g.

  var a = new Vec2(1,2);
  var b = new Vec2(2,1);
  var n = new Vec2(0,1);
  a.clone().sub(b).norm().project(n)...

• Provides Vec2#toString() for pain-free debugging

• Is of course able to evaluate Vec2#equals(b)

• Exports and imports JSON payloads (Vec2#getXY(), new Vec2(jsonPayload))

• Small allocation footprint when using Vec2#clone() wisely

• Accepts another Vec2 or plain X and Y coordinates as parameters where possible (e.g. Vec2#add(vOrX[, y]))

Features

• CommonJS compatible
• RequireJS/AMD compatible
• Shim compatible
• node.js compatible, also available via npm (npm install justmath)
• Closure Compiler ADVANCED_OPTIMIZATIONS compatible (fully annotated)
• Fully documented (jsdoc3)
• Zero dependencies and prerequisites
• Small footprint

Usage

Node.js / CommonJS

• Install: npm install justmath

var JustMath = require("justmath"),
    Vec2 = JustMath.Vec2;
var a = new Vec2(1,2);
console.log("Not more than "+a.x+", "+a.y+", 3.");

Browser (shim)

<script src="//raw.github.com/dcodeIO/JustMath.js/master/JustMath.min.js"></script>

var JustMath = dcodeIO.JustMath,
    Vec2 = JustMath.Vec2;
var a = new Vec2(1,2);
alert("Not more than "+a.x+", "+a.y+", 3.");

RequireJS / AMD

var JustMath = require("/path/to/JustMath.js"),
    Vec2 = JustMath.Vec2;
var a = new Vec2(1,2);
alert("Not more than "+a.x+", "+a.y+", 3.");

Downloads

• ZIP-Archive
• Tarball

Documentation

• View documentation

Examples & Tests

• Run tests (requires working HTML5 Canvas)
• View source

License

Apache License, Version 2.0 - http://www.apache.org/licenses/LICENSE-2.0.html