sobhanmohammadi/cas

A lightweight CAS library with step-by-step human explanations and zero external dependencies.

v2.2.2 2026-07-22 04:17 UTC

Requires

• php: >=7.4
• ext-gmp: *

MIT

• sobhanmohammadi-dev

Published on Packagist.org on 2026-07-22 04:18 UTC

README

A lightweight, zero-dependency Computer Algebra System (CAS) library for PHP with step-by-step human-readable explanations.

📖 About

CAS is a Computer Algebra System written entirely in PHP. Unlike numerical calculators that work with floating-point approximations, this library manipulates mathematical expressions symbolically — just like a human would when solving algebra problems by hand.

The killer feature? It explains every single step in plain, human-readable text (Persian & English). Whether you're building an educational platform, a math tutor bot, or simply need exact symbolic computation in your PHP application, this library has you covered — with absolutely zero external dependencies.

✨ Key Features

Category	Details
🔤 Symbolic Computation	Exact arithmetic on integers, rationals, and complex numbers — no floating-point errors
📊 Algebraic Simplification	Fully recursive simplification engine with convergence detection
🧩 Equation Solving	Symbolic & numeric solvers (currently linear; higher-order planned)
📝 Step-by-Step Explanations	Every operation is recorded and explained in Persian & English
🌳 AST-Based Architecture	All expressions are parsed into a tree structure for easy manipulation
🔢 Rich Numeric Support	Integers (GMP), Rationals, Complex numbers, π
🪶 Zero Dependencies	Pure PHP — only needs GMP extension (bundled with PHP by default)
📐 PSR-4 Compliant	Clean, modern namespace structure
⚡ Lightweight	Minimal overhead; designed for embedding in larger projects

🚀 Installation

Install via Composer:

composer require sobhanmohammadi/cas