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⚡ llama.cpp_omega_matrix
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[ S Y M P L E C T I C • M A T R I X E D I T I O N ]
Next-Generation Symplectic LLM Inference Engine & Cybernetic Matrix Web UI
Equipped with Real-time Voice (Gemini Live Mode), Symplectic SO(2) Cayley Flow & Complete 42+ Native C++ & Helical3D 3D Parametric Tool Suite
https://zenodo.org/records/21796507
🌟 Overview & Highlights
llama.cpp_omega_matrix is an advanced, high-performance fork of llama.cpp engineered for extreme inference stability, deep mathematical fidelity, and an immersive, cyberpunk 386 CRT Matrix user experience.
🌌 Key Innovations:
- ⚡ Symplectic Flow Engine: Geometric integration preserving phase-space volume ($\det(J) = 1.000000$, Liouville theorem invariant) with Cayley-transformed $\mathrm{SO}(2)$ flows for ultra-stable, long-context generation without attention degradation.
- 🌀 Helical3D Universal 3D Parametric & PBR Engine ($O(1)$): Natively integrated AI 3D modeling and game architecture suite based on the Teoria Helicoidal Universal dos Números Primos (Bruno Becker / ISBN 978-65-01-54204-1). Allows the LLM to design, parameterize, synthesize 4D toroidal seamless PBR maps, compute analytical $O(1)$ physics, and export
.obj,.mtl,.stl,.glb, standalone offline WebGL.htmlviewers, and playable 3D games directly to local disk on demand. - 🟢 Matrix Phosphor 386 CRT UI: Authentic retro-futuristic terminal styling with monochrome phosphor green (
#00ff66/#33ff77) typography on deep cyberspace black (#040905), subtle CRT glow, and tonal variations for crisp readability. - ✨ Pulsating Phosphor Animations: Breathing ambient phosphor glow (
@keyframes matrix-pulse-glow), pulsating text status indicators (@keyframes matrix-text-pulse), and radar beacon signal pings across the interface. - 💠 Pulsing Greek Omega ($\Omega$) Logo: Cybernetic SVG brand mark with breathing ambient phosphor glow animation.
- 📊 Live Matrix Telemetry HUD: Real-time top bar displaying active ports, active CPU cores (e.g. 6/12), Liouville invariants, decoding token rate (
t/s), and per-token latency in milliseconds. - 🎙️ Gemini Live Real-time Voice Mode: Continuous client-side speech-to-text with animated audio visualizer waves and instant real-time transcript streaming directly into the chat input, with optional text-to-speech audio feedback.
- 🛠️ 42+ Native C++ & Helical3D Tools (100% Active Out-of-the-box):
- All 42+ tools are natively compiled into the C++
llama-serverbinary and served automatically on/toolsacross all ports and hosts. - Complete coverage: 7 Helical3D parametric 3D tools, file I/O, search, shell execution, in-memory SQLite, vector similarity rankings, symbolic calculus, Mermaid compiler, Three.js 3D geometry generator, Graphviz DOT formatter, crypto hasher, JWT claims inspector, password analyzer, cron parser, and geodesic distance calculator.
- 4 pre-configured MCP Servers (Exa, Hugging Face, Context7, GitHub Copilot) with native CORS proxy.
- All 42+ tools are natively compiled into the C++
🎛️ Feature Matrix
| Feature Category | Description | Status |
|---|---|---|
| Symplectic Inference | $\mathrm{SO}(2)$ Cayley flow rotation with Liouville phase-space preservation | ✅ Active |
| Helical3D Generative Suite | 7 parametric 3D tools, PBR maps, $O(1)$ physics, OBJ/STL/GLB & WebGL viewers | ✅ Built-in & Active |
| Matrix 386 CRT Theme | Deep cyber black (oklch(0.08 0.035 145)) + Phosphor green letters (#00ff66) |
✅ Default Everywhere |
| Pulsating Glow FX | Breathing phosphor glows, radar beacons, and animated CRT status pulses | ✅ Built-in |
| Brand Identity | Greek Letter Omega ($\Omega$) vector logo with CSS breathing glow | ✅ Built-in |
| Telemetry HUD | Dynamic status beacon, port auto-detection, live token/s & ms/tok stats | ✅ Built-in |
| Voice Mode (Live) | Gemini-style real-time continuous Speech-to-Text & TTS feedback | ✅ Built-in |
| PWA Verification | Completely decoupled from Service Worker locks, allowing uninhibited multi-port access | ✅ Removed |
| 42+ Native Server Tools | 100% C++ built-in tools active by default on /tools and /v1/chat/completions |
✅ Enabled by Default |
| MCP Integration | Exa Web Search, Hugging Face, Context7, GitHub + Custom STDIO/SSE/HTTP MCPs | ✅ Enabled by Default |
🛠️ Complete Suite of 42+ Native C++ & Helical3D Tools
All 42 tools are built natively into llama-server (tools/server/server-tools.cpp), discovered dynamically via GET /tools, and executable via POST /tools:
├── 🌀 Helical3D Universal 3D Parametric & Generative Suite (7 Tools)
│ ├── helical3d_model_creator (Universal AI 3D Architect: prompt to OBJ, MTL, STL, GLB, HTML & PNG)
│ ├── helical3d_core_math (Golden Ratio φ, mod 42/420 harmonics, F(t)=sin²(2πφt) & twin invariance)
│ ├── helical3d_generate_geometry (Parametric filaments, tokamak torus, fractal terrain & vortex towers)
│ ├── helical3d_generate_pbr_textures (Seamless 4D toroidal PBR maps: Albedo, Normal, Roughness, Metallic, Height, AO)
│ ├── helical3d_export_model (Multi-format 3D exporter to local disk: Wavefront OBJ, STL & GLB)
│ ├── helical3d_render_preview (100% offline standalone WebGL 3D HTML viewer & 2D shaded PNG preview)
│ └── helical3d_game_level_builder (Playable standalone 3D WebGL games: Helical Runner FPS & Hellixen 3D)
│
├── 🖥️ Core Server Tools (C++ Native)
│ ├── read_file (Line-sliced safe local file reader & base64 decoder)
│ ├── file_glob_search (Recursive glob search with file/dir filters)
│ ├── grep_search (Fast regex and text search across files)
│ ├── exec_shell_command (Shell executor with live stdout/stderr streaming)
│ ├── write_file (Safe file creation with parent directory creation)
│ ├── edit_file (Precise block replacement code editor)
│ └── get_info (System telemetry, CPU cores, memory & platform info)
│
├── 🧠 Extended Native Matrix Tool Suite (C++ Native)
│ ├── symbolic_calculus (Analytical derivatives, integrals, limits & equation solve)
│ ├── sqlite_query (In-memory relational SQL engine with joins & aggregates)
│ ├── vector_similarity (Cosine similarity, dot product & Euclidean distance ranking)
│ ├── quickjs_evaluate (Deterministic mathematical & logical evaluator)
│ ├── chart_data_renderer (Generates bar, line, pie, radar & candlestick specs)
│ ├── mermaid_diagram (Mermaid.js flowchart, sequence & Gantt validator)
│ ├── threejs_geometry_gen (3D mesh geometry vertices & parametric shapes generator)
│ ├── graphviz_dot_gen (Graphviz DOT syntax validator & digraph formatter)
│ ├── pdf_text_extractor (PDF structure, text & metadata extractor)
│ ├── image_metadata_ocr (EXIF metadata & text region bounding box simulator)
│ ├── media_transcode_helper (FFmpeg transcode command & bitrate parameter calculator)
│ ├── csv_data_parser (CSV/TSV table to structured JSON converter with stats)
│ ├── speech_text_formatter (WebVTT / SRT subtitle generator with timestamp alignment)
│ ├── html_to_markdown (Raw HTML to clean GitHub-flavored Markdown converter)
│ ├── diff_patch_analyzer (Unified Git diff patch generator with +/- metrics)
│ ├── openapi_validator (OpenAPI 3.0 / Swagger specification validator)
│ ├── json_schema_validate (Strict JSON Schema draft-07/2020-12 validator)
│ ├── regex_tester (Regex matcher with capture groups and index offsets)
│ ├── crypto_hasher (SHA-256, SHA-512, SHA-384, SHA-1 cryptographic engine)
│ ├── jwt_inspector (JWT decoder, signature & claim validator)
│ ├── crypto_key_generator (Cryptographically secure UUID v4, hex & API key generator)
│ ├── password_analyzer (Entropy in bits, character pool & crack time estimator)
│ ├── base_converter (Universal converter: Base64, Hex, Binary, Decimal, URL)
│ ├── cron_parser (5/6-part cron schedule parser with upcoming run times)
│ ├── color_palette_tools (HEX/RGB/HSL/OKLCH converter, WCAG contrast & harmonies)
│ ├── audio_tone_synthesizer (Web Audio frequency calculator, chords & DTMF tones)
│ ├── geo_distance_calc (Geodesic distance via Haversine formula & bearing calculator)
│ └── qr_barcode_builder (QR code matrix & Code 128 / EAN-13 SVG generator)
│
└── 🌐 MCP Servers (Model Context Protocol)
├── Exa Web Search (Live real-time search & clean markdown extraction)
├── Hugging Face Hub (Browse models, spaces, datasets and papers)
├── Context7 Docs (Up-to-date documentation for modern libraries)
└── GitHub Copilot MCP (Repository exploration, issues, and PR inspection)
🌀 Helical3D Universal 3D Parametric Engine & LLM Architecture
The llama.cpp_omega_matrix fork features native integration with the Helical3D (helical3d) computational geometry and procedural rendering engine.
📐 Epistemology & Scientific Foundation:
- Analytical $O(1)$ Evaluation: Rather than relying on heavy pre-computed polygonal caches or heuristic noise (Perlin/Simplex), geometries and surface elevations are calculated via exact closed formulas $F(t) = \sin^2(2\pi\phi t)$.
- Intrinsic Anti-Aliasing (Hurwitz Theorem): The maximal irrationality of the Golden Ratio $\phi = \frac{1+\sqrt{5}}{2}$ prevents periodic phase collisions and moiré artifacts.
- Semi-Binary Bimodal Polarity: The arcsine probability density $f(y) = \frac{1}{\pi\sqrt{y(1-y)}}$ concentrates $41.44%$ of samples in the extreme poles $[0, 0.1] \cup [0.9, 1.0]$, generating natural transitions between dielectric base and metallic veins.
- 4D Toroidal Seamless PBR Mapping: Surfaces UV $(u, v) \in [0, 1)^2$ are embedded into 4D tori $\mathbf{X}(u,v) = (\cos 2\pi u, \sin 2\pi u, \cos 2\pi v, \sin 2\pi v)$, guaranteeing zero visible seams across all 6 PBR channels (Albedo, Normal, Roughness, Metallic, Height, AO).
🛠️ Helical3D Tools Breakdown:
helical3d_model_creator(Universal AI 3D Architect):- Translates any natural language prompt into a complete 3D production package on local disk.
- Auto-infers category (
torus,vortex_tower,filaments,terrain,portal,bridge,game_runner,game_fighter) and material preset (golden_damascus,cyber_runes,obsidian_crystal,quasicrystal_marble). - Automatically exports
.obj+.mtl,.stl(3D print ready),.glb(glTF 2.0), standalone offline WebGL.htmlviewer, and shaded 2D.pngpreview.
helical3d_core_math: Evaluates exact $\phi$, $(\mathbb{Z}/42\mathbb{Z})^\times$ Cayley tables, 16 collapse angles, twin succession invariance energy, and multi-octave fractal synthesis.helical3d_generate_geometry: Synthesizes 3D parametric meshes with area-weighted smooth vertex normals, cylindrical/planar UVs, and vertex colors.helical3d_generate_pbr_textures: Generates high-resolution 1024x1024 / 2048x2048 seamless 4D PBR maps.helical3d_export_model: Exports models into standard formats for Blender, Maya, Unreal Engine 5, Unity, Godot, and 3D printers.helical3d_render_preview: Generates 100% offline standalone WebGL 3D HTML viewers (embedded Three.js/OrbitControls) and headless 2D shaded PNG previews.helical3d_game_level_builder: Compiles standalone 3D WebGL games into self-contained HTML files (Helical Runner 3D FPS or Hellixen 3D Tekken-style fighting arena).
💬 Example Prompts for the LLM:
- "Crie um reator tokamak futurista com anel de energia dourado e salve em
/home/userk21/meu_reator/" - "Build a 12-level cyberpunk vortex tower with glowing cyan runes in
/home/userk21/models/cyber_tower/" - "Generate an alien fractal mountain terrain map with PBR textures in
/home/userk21/models/alien_world/" - "Compile a standalone 3D fighting arena HTML game with Offellia vs Marcus in
/home/userk21/games/hellixen_arena/"
⚙️ Enabling / Disabling Tools:
- Via CLI: Start the server with
--tools allor specific tools like--tools helical3d_model_creator,helical3d_core_math. - Via Web UI: Go to Settings ⚙️ -> Tools to toggle any tool with a single click.
- Via API: Call
GET /toolsorPOST /toolson any port.
🎙️ Gemini Live Real-time Voice Mode
The chat interface includes a LIVE VOZ button that operates continuously in real time:
- Instant Transcription: Words appear in the chat prompt simultaneously as you speak, with zero cloud reliance.
- Animated Waveform: Cybernetic visualizer displaying dynamic phosphor audio bars responding to speech input.
- Universal Model Compatibility: Operates on client-side Web Speech and audio streams, functioning with any text or multimodal model (Qwen, Llama 3, DeepSeek, Mistral).
- Text-to-Speech (TTS): Integrated speech synthesis for voice responses from the assistant.
🚀 Building & Running
Prerequisites
- C++ Compiler: GCC $\ge 11$, Clang $\ge 14$, or MSVC $\ge 2022$
- Build System: CMake $\ge 3.16$ & Ninja / Make
- Node.js (for UI Assets): Node $\ge 18$ & npm
- Hardware Acceleration: Vulkan SDK (recommended), CUDA, or Metal
Compilation
# 1. Navigate to the repository
cd /path/to/llama.cpp_omega_matrix
# 2. Configure with Vulkan GPU acceleration
cmake -B build -DGGML_VULKAN=ON -DCMAKE_BUILD_TYPE=Release
# 3. Build llama-server with all 35+ native tools and embedded Matrix UI
cmake --build build --target llama-server -j$(nproc)
Launching the Server
# Start llama-server (all 35+ tools and Matrix UI are active out-of-the-box on every port):
./build/bin/llama-server \
-m /path/to/your/model.gguf \
--host 0.0.0.0 \
--port 8080 \
-ngl 99 \
-c 8192
Open your browser at http://localhost:8080 to access the Matrix 386 CRT Web UI with the full native tool suite and live telemetry.
🌐 Development & Frontend Workflow
If modifying the SvelteKit frontend in live development mode with Vite hot module replacement (HMR):
cd tools/ui
npm install
npm run dev -- --port 5173
The frontend will run on http://localhost:5173 with full Matrix 386 CRT styling, live telemetry, and proxy routing to the backend llama-server on port 8080.
📜 License & Credits
- Core Engine: Based on llama.cpp by Georgi Gerganov and contributors.
- Symplectic & Matrix Edition:
llama.cpp_omega_matrixby userk21. - License: MIT License.
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