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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


License: MIT Build Status Vulkan GPU Helical3D Engine UI Engine Matrix Mode


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 .html viewers, 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-server binary and served automatically on /tools across 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.

🎛️ 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:

  1. 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 .html viewer, and shaded 2D .png preview.
  2. 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.
  3. helical3d_generate_geometry: Synthesizes 3D parametric meshes with area-weighted smooth vertex normals, cylindrical/planar UVs, and vertex colors.
  4. helical3d_generate_pbr_textures: Generates high-resolution 1024x1024 / 2048x2048 seamless 4D PBR maps.
  5. helical3d_export_model: Exports models into standard formats for Blender, Maya, Unreal Engine 5, Unity, Godot, and 3D printers.
  6. helical3d_render_preview: Generates 100% offline standalone WebGL 3D HTML viewers (embedded Three.js/OrbitControls) and headless 2D shaded PNG previews.
  7. 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 all or 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 /tools or POST /tools on 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_matrix by userk21.
  • License: MIT License.
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