Current release: v1.5.1 — hotfix restoring avatars, comment upvotes, comment posting, Lorenz particles, ODE auto-fit, and the PDE 3D colormap (see CHANGELOG), on top of the 2026-07 evergreen sweep: every dependency at its absolute-newest published version (TypeScript 7.1 native compiler as the typecheck gate for 8 of 10 packages), React Compiler enabled, real cross-instance GraphQL subscriptions, a competitive-accuracy regression suite, a net −9k-line dead-code purge, and a pre-merge adversarial review whose findings (including a years-old CAS infinite loop) are all fixed. Full detail in CHANGELOG.md.
Highlights
| Category | Improvements |
|---|---|
| Dependencies | Next.js 16.3 canary, React 19.3 canary, TypeScript 7 native (6 for web + plot-engine), GraphQL 17, Apollo 5.5, Prisma 7.9 dev, Three.js 0.185-line, Biome 2.x, Turbo 2.10, Vitest 5, Wrangler 4.x |
| Newest idioms | TSL-compute Lorenz particles, GTAO SSAO, next-intl useFormatter, serwist 10, tagged-PDF export (modern-pdf-lib), modern-cmdk command palette |
| Lint sweep | Biome 2.x — 2,222 warnings + 221 infos → 0 warnings (real fixes; only documented, principled overrides) |
| CI/CD | Node 26, TypeScript 7 native typecheck gates 8/10 packages (web + plot-engine stay on TS 6 pending upstream), gate green |
48 pages · 8 languages · GPU-accelerated WebGL / WebGPU · Edge computing
Live Demo · Quick Start · Wiki · Roadmap
|
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, 9 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 via a SQLite-backed Durable Object. |
8 Languages Full i18n with 1200+ keys per locale: English, Russian, Spanish, Ukrainian, German, French, Japanese, Chinese. |
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 5.5"]
end
subgraph Cloudflare["Cloudflare Workers"]
D["CAS Service<br/>Symbolic Math"]
E["Export Service<br/>LaTeX to PDF / PNG / SVG"]
F["Rate Limiter<br/>Durable Object"]
end
subgraph Storage["Storage Layer"]
G[("Neon PostgreSQL<br/>Prisma 7")]
H[("Upstash Redis<br/>Cache + PubSub")]
I[("R2 Bucket<br/>Exports")]
J[("Durable Object<br/>Rate Limits")]
end
A --> B
A --> D
A --> E
B --> C
C --> G
C --> H
D --> F
E --> I
F --> J
| Category | Technology | Version |
|---|---|---|
| Language | TypeScript | 7 native (8/10 packages); 6 for web + plot-engine |
| Framework | Next.js | 16.3 canary |
| UI Library | React | 19.3 canary |
| Styling | Tailwind CSS | 4.3 |
| Components | Radix UI (unified) | 1.6 |
| Animation | Motion (motion/react) |
12.x |
| State | Zustand | 5.0 |
| Math | Math.js | 15.2 |
| 3D Rendering | Three.js | 0.185-line |
| 2D Charts | D3.js | 7.9 |
| LaTeX | KaTeX | 0.17 |
| ORM | Prisma | 7.9 dev |
| Auth | NextAuth + jose | 5.0 / 6.2 |
| GraphQL | Apollo Server / Client | 5.5 / 4.3 |
| GraphQL spec | graphql | 17 |
| Cache | Upstash Redis | 1.38 |
| Workers | Hono on Cloudflare | 4.12 |
| Build | Turborepo | 2.10 canary |
| Linting | Biome | 2.x |
| Testing | Vitest + Playwright | 5.0 |
Exact pinned versions live in each package's
package.json.
NextCalc/
├── apps/
│ ├── web/ # Next.js 16 frontend (port 3005)
│ ├── api/ # GraphQL API (Apollo Server 5.5)
│ └── workers/ # Cloudflare Workers
│ ├── cas-service/ # Symbolic math on the edge
│ ├── export-service/ # LaTeX to PDF/PNG/SVG export
│ └── rate-limiter/ # API rate limiting via Durable Object
├── packages/
│ ├── math-engine/ # Core math library (20 subpath modules)
│ ├── plot-engine/ # GPU visualization engine
│ ├── database/ # Prisma 7 shared package
│ └── types/ # Shared TypeScript types
└── docs/ # Documentation
apps/web — 48 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 — 20 subpath export modules (key modules shown)
| 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 |
complex/ |
Complex number arithmetic |
calculus/ |
Vector calculus, line/surface integrals |
differential/ |
Differential equations |
solver/ |
Algebraic + ODE equation solver |
units/ |
Unit conversion engine |
fourier/ |
FFT, IFFT, spectral analysis, Fourier series |
graph-theory/ |
Graph algorithms (Dijkstra, BFS, DFS, MST, PageRank) |
game-theory/ |
Nash equilibrium, dominant strategies |
prover/ |
Logic core + proof search |
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
- 9 Colormaps — viridis, inferno, magma, plasma, cividis, coolwarm, spectral, turbo, rainbow
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:3005Prerequisites: Node.js >= 24.0.0 (CI runs Node 26), pnpm >= 11
| 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 |
Contributions are welcome! Please read the Contributing Guide and our Code of Conduct before submitting a pull request.
MIT © 2025-2026 Albert Badalov