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[Authentication & Authorization](/categories/authentication) 4. / 5. sobhanmohammadi/cas ActiveLibrary[Authentication & Authorization](/categories/authentication) sobhanmohammadi/cas =================== A lightweight CAS library with step-by-step human explanations and zero external dependencies. v2.0.2(1w ago)017MITPHPPHP >=7.4 Since May 17Pushed 3w agoCompare [ Source](https://github.com/sobhanmohammadi-dev/cas)[ Packagist](https://packagist.org/packages/sobhanmohammadi/cas)[ RSS](/packages/sobhanmohammadi-cas/feed)WikiDiscussions master Synced 1w ago READMEChangelogDependenciesVersions (7)Used By (0) CAS – A Lightweight Computer Algebra System for PHP =================================================== [](#cas--a-lightweight-computer-algebra-system-for-php) **A lightweight, zero-dependency Computer Algebra System (CAS) library for PHP with step-by-step human-readable explanations.** [![Latest Version](https://camo.githubusercontent.com/47ae4a3a01c54e8acf5856d80fb01273e576689c6180a29404cefa4a623adca8/68747470733a2f2f696d672e736869656c64732e696f2f7061636b61676973742f762f736f6268616e6d6f68616d6d6164692f636173)](https://packagist.org/packages/sobhanmohammadi/cas)[![Required PHP Version](https://camo.githubusercontent.com/691ae72f00daee377edb5505c43cc34ad82473ac4f520d331436adfc78e67726/68747470733a2f2f696d672e736869656c64732e696f2f7061636b61676973742f7068702d762f736f6268616e6d6f68616d6d6164692f636173)](https://packagist.org/packages/sobhanmohammadi/cas)[![License](https://camo.githubusercontent.com/21f86afea14ec9103b9199c098b7254ed43488ae1f2536ef29ceb8957a0afa7c/68747470733a2f2f696d672e736869656c64732e696f2f7061636b61676973742f6c2f736f6268616e6d6f68616d6d6164692f636173)](LICENSE)[![Total Downloads](https://camo.githubusercontent.com/51d7439d77ad8480b4a31eaaf055a6d725c3ed709b6efba81a3153133128ee85/68747470733a2f2f696d672e736869656c64732e696f2f7061636b61676973742f64742f736f6268616e6d6f68616d6d6164692f636173)](https://packagist.org/packages/sobhanmohammadi/cas) --- 📖 About ------- [](#-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**. --- âœĻ Key Features -------------- [](#-key-features) CategoryDetails**ðŸ”Ī Symbolic Computation**Exact arithmetic on integers, rationals, and complex numbers — no floating-point errors**📊 Algebraic Simplification**Fully recursive simplification engine with convergence detection**ðŸ§Đ Equation Solving**Symbolic & numeric solvers (currently linear; higher-order planned)**📝 Step-by-Step Explanations**Every operation is recorded and explained in Persian & English**ðŸŒģ AST-Based Architecture**All expressions are parsed into a tree structure for easy manipulation**ðŸ”Ē Rich Numeric Support**Integers (GMP), Rationals, Complex numbers, π**ðŸŠķ 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 -------------- [](#-installation) Install via Composer: ``` composer require sobhanmohammadi/cas ``` ### Health Score 39 — LowBetter than 84% of packages Maintenance96 Actively maintained with recent releases Popularity8 Limited adoption so far Community6 Small or concentrated contributor base Maturity38 Early-stage or recently created project Bus Factor1 Top contributor holds 100% of commits — single point of failure How is this calculated?**Maintenance (25%)** — Last commit recency, latest release date, and issue-to-star ratio. Uses a 2-year decay window. **Popularity (30%)** — Total and monthly downloads, GitHub stars, and forks. Logarithmic scaling prevents top-heavy scores. **Community (15%)** — Contributors, dependents, forks, watchers, and maintainers. Measures real ecosystem engagement. **Maturity (30%)** — Project age, version count, PHP version support, and release stability. ### Release Activity Cadence Every ~3 days Total 6 Last Release 10d ago Major Versions v1.1.1 → v2.0.02026-05-30 ### Community Maintainers ![](https://www.gravatar.com/avatar/7e87e0310dfd6b9383486168b87122fb28cd8283adae26ddc290786408080cee?d=identicon)[sobhanmohammadi-dev](/maintainers/sobhanmohammadi-dev) --- Top Contributors [![sobhanmohammadi-dev](https://avatars.githubusercontent.com/u/200896399?v=4)](https://github.com/sobhanmohammadi-dev "sobhanmohammadi-dev (4 commits)") ### Embed Badge ![Health badge](/badges/sobhanmohammadi-cas/health.svg) ``` [![Health](https://phpackages.com/badges/sobhanmohammadi-cas/health.svg)](https://phpackages.com/packages/sobhanmohammadi-cas) ``` ### Alternatives [kartik-v/yii2-password Useful password strength validation utilities for Yii Framework 2.0 761.2M17](/packages/kartik-v-yii2-password) PHPackages ÂĐ 2026 [Directory](/)[Categories](/categories)[Trending](/trending)[Changelog](/changelog)[Analyze](/analyze)