What's New in v1.2.1

Performance Optimizations, Comprehensive Audit & Full Green CI

Highlights

Category	Improvements
Performance	Dynamic-import SymbolicPanel (~300KB deferred), CSS @keyframes replace Framer Motion animations, IntersectionObserver-gated rAF loop, module-level KaTeX cache
Audit	78 issues fixed across entire monorepo (25 HIGH, 47 MEDIUM, 6 LOW) — security, performance, code quality
CI/CD	All 5 CI jobs green (Install, Lint, Typecheck, Build, Test), 54 test failures fixed, 170+ files formatted
Security	Path traversal guard, GraphQL redirect sanitization, input validation hardening
Infrastructure	GitHub Actions v6, AUTH_SECRET in CI build, Workers deploy with workflow_dispatch

Scientific Calculator & Mathematical Visualization Platform

47 pages · 8 languages · GPU-accelerated WebGL / WebGPU · Edge computing

Live Demo  ·  Quick Start  ·  Wiki  ·  Roadmap

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Highlights

Scientific Calculator Full-featured calculator with expression history, LaTeX rendering, keyboard shortcuts, and statistical analysis panel.	2D / 3D Plotting GPU-accelerated function plotting with WebGL 2D, Three.js 3D surfaces, adaptive sampling, 6 colormaps, SSAO, and HDR cubemap themes.	Symbolic Math Computer algebra system with symbolic differentiation, integration (15+ rules), Taylor series, limits, and equation solving.
Algorithm Visualizations Interactive demos for Transformers, Zero-Knowledge Proofs, Quantum Computing, PageRank, Meta-Learning, and graph algorithms.	Edge Workers 3 Cloudflare Workers for sub-50ms global symbolic math, LaTeX-to-PDF export, and rate limiting with KV storage.	8 Languages Full i18n with 1200+ keys per locale: English, Russian, Spanish, Ukrainian, German, French, Japanese, Chinese.

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Architecture

graph TB
    subgraph Client["Browser"]
        A["Next.js 16 + React 19.3<br/>Tailwind CSS 4 + Radix UI"]
    end

    subgraph Vercel["Vercel Edge Network"]
        B["App Router + SSR"]
        C["GraphQL API<br/>Apollo Server 5.4"]
    end

    subgraph Cloudflare["Cloudflare Workers"]
        D["CAS Service<br/>Symbolic Math"]
        E["Export Service<br/>LaTeX to PDF / PNG / SVG"]
        F["Rate Limiter<br/>KV-backed"]
    end

    subgraph Storage["Storage Layer"]
        G[("Neon PostgreSQL<br/>Prisma 7")]
        H[("Upstash Redis<br/>Cache + PubSub")]
        I[("R2 Bucket<br/>Exports")]
        J[("KV Store<br/>Rate Limits")]
    end

    A --> B
    A --> D
    A --> E
    B --> C
    C --> G
    C --> H
    D --> F
    E --> I
    F --> J

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Tech Stack

Category	Technology	Version
Language	TypeScript	6.0
Framework	Next.js	16.2
UI Library	React	19.3
Styling	Tailwind CSS	4.2
Components	Radix UI (unified)	1.4
Animation	Framer Motion	12.34
State	Zustand	5.0
Math	Math.js	15.2
3D Rendering	Three.js	0.183
2D Charts	D3.js	7.9
LaTeX	KaTeX	0.16
ORM	Prisma	7.5
Auth	NextAuth + jose	5.0 / 6.1
GraphQL	Apollo Server / Client	5.4 / 4.2
Cache	Upstash Redis	1.37
Workers	Hono on Cloudflare	4.12
Build	Turborepo	2.8
Linting	Biome	2.4
Testing	Vitest + Playwright	4.1

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Project Structure

NextCalc/
├── apps/
│   ├── web/                   # Next.js 16 frontend (port 3005)
│   ├── api/                   # GraphQL API (Apollo Server 5.4)
│   └── workers/               # Cloudflare Workers
│       ├── cas-service/       #   Symbolic math on the edge
│       ├── export-service/    #   LaTeX to PDF/PNG/SVG export
│       └── rate-limiter/      #   API rate limiting via KV
├── packages/
│   ├── math-engine/           # Core math library (18 modules)
│   ├── plot-engine/           # GPU visualization engine
│   ├── database/              # Prisma 7 shared package
│   └── types/                 # Shared TypeScript types
└── docs/                      # Documentation

apps/web — 47 page routes

app/[locale]/
├── algorithms/           # Algorithm hub + 10 sub-pages
│   ├── astar/            #   A* pathfinding
│   ├── crypto/           #   Cryptography (ZKP, differential privacy)
│   ├── dijkstra/         #   Dijkstra's shortest path
│   ├── graph-traversal/  #   BFS / DFS
│   ├── graphs/           #   Graph theory intro
│   ├── meta-learning/    #   MAML playground
│   ├── mst/              #   Minimum spanning tree
│   ├── pagerank/         #   PageRank with 3D spheres
│   ├── quantum/          #   Quantum computing sim
│   ├── transformers/     #   Transformer attention
│   └── zero-knowledge/   #   Zero-knowledge proofs
├── auth/signin/          # OAuth sign-in (GitHub, Google)
├── chaos/                # Lorenz attractor + bifurcation (WebGPU)
├── complex/              # Complex number operations
├── forum/                # Community forum with GraphQL
├── fourier/              # Fourier analysis
├── game-theory/          # Nash equilibrium solver
├── graphs-full/          # Full graph algorithm suite
├── learn/                # Interactive learning platform
├── matrix/               # Matrix operations
├── ml-algorithms/        # ML algorithm demos
├── pde/                  # PDE solver (heat, wave, Laplace)
├── plot/                 # 2D/3D function plotter
├── practice/             # Practice problems
├── problems/             # Problem browser + number theory
├── profile/              # User profile
├── settings/             # User settings
├── solver/               # Equation + ODE solver
├── stats/                # Statistics calculator
├── symbolic/taylor/      # Taylor series expansion
├── units/                # Unit converter
└── worksheet/            # Jupyter-like worksheet

packages/math-engine — 18 modules

Module	Description
parser/	Expression parser + evaluator
symbolic/	Differentiation, integration, simplification, series, limits
cas/	Computer algebra system
matrix/	Matrix operations, eigenvalues, decompositions
stats/	Statistics, distributions, regression
number-theory/	Primes, modular arithmetic, factorization
graph-theory/	Graph algorithms (Dijkstra, BFS, DFS, MST, PageRank)
game-theory/	Nash equilibrium, dominant strategies
prover/	Logic core + proof search
calculus/	Vector calculus, line/surface integrals
algorithms/	Sorting, searching, crypto, ML

packages/plot-engine — GPU rendering pipeline

• WebGL 2D Renderer — primary 2D backend with GLSL shaders
• Three.js 3D Renderer — surface plots, parametric curves, SSAO, HDR cubemaps
• WebGPU Compute — PDE/ODE solvers, bifurcation diagrams
• Canvas 2D Fallback — software renderer for legacy browsers
• 6 Colormaps — viridis, inferno, coolwarm, cividis, magma, spectral

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Quick Start

git clone https://github.com/ABCrimson/NextCalc.git
cd NextCalc
pnpm install
cp apps/web/.env.example apps/web/.env.local
# Edit .env.local with your credentials (see docs/SETUP.md)
pnpm dev
# Open http://localhost:3005

Prerequisites: Node.js >= 20.0.0, pnpm >= 11

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Documentation

Document	Description
DEVELOPMENT.md	Developer guide, commands, and conventions
ARCHITECTURE.md	System architecture and design decisions
docs/SETUP.md	Database (Neon) and OAuth (Google, GitHub) setup
docs/DEPLOYMENT.md	Deployment guide for Vercel and Cloudflare
docs/ROADMAP.md	Feature roadmap and backlog
CHANGELOG.md	Version history
Wiki	Full reference: API, math engine, database schema

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Contributing

Contributions are welcome! Please read the Contributing Guide and our Code of Conduct before submitting a pull request.

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License

MIT © 2025-2026 Albert Badalov