Linear

A comprehensive linear algebra library providing vector and matrix operations for 2D, 3D, and n-dimensional mathematics.

Installation

npm install @rgsoft/linear

Documentation

• Main Documentation — Overview and quick start guide
• Vectors Guide — Complete reference for Vector, Vector2, and Vector3
• Matrices Guide — Complete reference for Matrix operations

Quick Start

import { Vector2, Vector3, Matrix } from '@rgsoft/linear';

// 2D vectors
const v1 = new Vector2([3, 4]);
const v2 = new Vector2([1, 2]);
console.log(v1.mag);        // 5
console.log(v1.dot(v2));    // 11
console.log(v1.rotate(Math.PI / 4));

// 3D vectors
const v3 = new Vector3([1, 0, 0]);
const v4 = new Vector3([0, 1, 0]);
console.log(v3.cross(v4));  // Vector3([0, 0, 1])

// Matrices
const m = new Matrix(2, 2, [[1, 2], [3, 4]]);
console.log(m.det);         // -2
console.log(m.inverse());

Features

• Vector Support — Generic n-dimensional vectors, optimized 2D and 3D classes
• Rich Operations — Add, subtract, multiply, dot product, cross product, normalize, rotate, project
• Matrix Operations — Determinant, inverse, transpose, row operations, Gaussian elimination
• Immutable Design — All operations return new instances, original unchanged
• Performance — Caching for magnitude and determinant, optimized for real-time use
• Constants — Pre-defined unit vectors and zero vectors
• TypeScript Support — Fully typed

Development

npm run build    # Build the package
npm run test     # Run tests
npm run coverage # Generate coverage report