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Parent(s):
6c4abbd
Enhanced Space with Ising model, educational tabs, hardware comparisons
Browse files
README.md
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---
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title: Daugherty Engine
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emoji: 🧮
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app_file: app.py
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pinned: false
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license: apache-2.0
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short_description: GPU-accelerated
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---
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# Daugherty Engine
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## What
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## Key
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- **
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- **
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## How It Works
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This Space
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## Links
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- [Full Demo
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- [Origin Neural](https://originneural.ai)
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- [SmartLedger Solutions](https://smartledger.solutions)
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## Contact
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---
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title: Daugherty Engine
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emoji: 🧮
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colorFrom: green
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colorTo: blue
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app_file: app.py
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pinned: false
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license: apache-2.0
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short_description: GPU-accelerated SAT & Ising solver - quantum-competitive
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tags:
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- optimization
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- sat-solver
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- ising-model
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- constraint-satisfaction
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- quantum-computing
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- gpu
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- nvidia
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---
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# Daugherty Engine
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**GPU-accelerated constraint satisfaction and combinatorial optimization achieving quantum-competitive results on classical hardware.**
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## What You Can Test
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| Problem Type | Description | Quantum Equivalent |
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|-------------|-------------|-------------------|
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| **3-SAT** | Boolean satisfiability at phase transition (α=4.27) | Gate-based quantum computing |
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| **Ising Model** | Spin glass energy minimization | Quantum annealing (D-Wave) |
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## Key Results
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- **128x more power efficient** than D-Wave Advantage
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- **8x cheaper** per solve than quantum cloud services
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- Runs on a single NVIDIA RTX 6000 Ada ($1.57/hour)
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## How It Works
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This Space provides **API-only access** to the Daugherty Engine. No proprietary algorithms or source code are exposed. You interact with the same verification endpoints available at [1millionspins.originneural.ai](https://1millionspins.originneural.ai).
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### API Endpoints Used
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- `POST /api/verify/sat` - 3-SAT verification
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- `POST /api/verify/ising` - Ising model optimization
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- `GET /api/health` - System status
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## The Science
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### 3-SAT at Phase Transition
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At the clause-to-variable ratio α = 4.27:
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- Problems are maximally hard (neither clearly SAT nor UNSAT)
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- This is the "computational phase transition"
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- First proven NP-complete problem (Cook-Levin, 1971)
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### Ising Model
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The Ising Hamiltonian: `H(s) = -Σᵢⱼ Jᵢⱼ sᵢ sⱼ - Σᵢ hᵢ sᵢ`
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- Native problem type for quantum annealers
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- Maps to QUBO (Quadratic Unconstrained Binary Optimization)
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- Applications: portfolio optimization, logistics, ML
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## Hardware
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| System | Power | Cost/Hour | Qubits/Cores |
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|--------|-------|-----------|--------------|
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| **Daugherty Engine** | 195W | $1.57 | 18,176 CUDA |
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| D-Wave Advantage | 25kW | $13.20 | 5,000 qubits |
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| IBM Quantum | 15kW | $1.60 | 127 qubits |
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## Links
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- [Full Demo](https://1millionspins.originneural.ai) - Interactive visualizations
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- [Origin Neural](https://originneural.ai) - Company website
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- [SmartLedger Solutions](https://smartledger.solutions) - Blockchain partner
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## Contact
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**Shawn@smartledger.solutions**
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---
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*Built with [Gradio](https://gradio.app) on [Hugging Face Spaces](https://huggingface.co/spaces)*
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app.py
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"""
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Daugherty Engine - SAT Solver Demo
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API-only interface for testing constraint satisfaction
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This demo calls the public API at https://1millionspins.originneural.ai
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No proprietary code is exposed - only API interactions.
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import gradio as gr
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import requests
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import time
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import json
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# Public API endpoint
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API_BASE = "https://1millionspins.originneural.ai/api"
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# Hardware specs (public information from DigitalOcean pricing)
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HARDWARE_INFO = {
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}
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# Competitor reference data (public sources)
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COMPETITORS = {
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"D-Wave Advantage": {
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}
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response = requests.get(f"{API_BASE}/health", timeout=10)
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if response.status_code == 200:
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data = response.json()
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return "Offline"
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except Exception as e:
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return f"Error: {str(e)}"
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def
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"""
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Args:
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num_variables: Number of variables (20-500)
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num_trials: Number of verification trials (1-20)
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num_variables = max(20, min(500, int(num_variables)))
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num_trials = max(1, min(20, int(num_trials)))
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alpha = 4.27 # Phase transition ratio
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num_clauses = int(num_variables * alpha)
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start_time = time.time()
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try:
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response = requests.post(
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f"{API_BASE}/verify/sat",
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json={
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"size": num_variables,
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"trials": num_trials
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timeout=120,
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headers={"Content-Type": "application/json"}
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)
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elapsed_time = time.time() - start_time
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if response.status_code != 200:
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return
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data = response.json()
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results = data.get("data", {}).get("results", {})
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#
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cost_usd = (HARDWARE_INFO["cost_per_hour"] / 3600) * elapsed_time
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except requests.exceptions.Timeout:
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return format_error(f"Error: {str(e)}\n\nTraceback:\n```\n{traceback.format_exc()}\n```")
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if txid:
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bsv_link = f"\n\n**Blockchain Proof:** [{txid[:16]}...](https://whatsonchain.com/tx/{txid})"
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### Performance
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| Metric | Value |
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|--------|-------|
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---
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"""
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"""
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"""Get information about the problem that will be generated."""
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num_variables = max(20, min(500, int(num_variables)))
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num_clauses = int(num_variables * 4.27)
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search_space = 2 ** num_variables
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"""
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with gr.Blocks(
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title="Daugherty Engine
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theme=gr.themes.
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secondary_hue="gray",
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neutral_hue="gray",
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css="""
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.gradio-container { max-width: 900px !important; }
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.result-box { font-family: monospace; }
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"""
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) as demo:
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gr.Markdown(
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-
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""")
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-
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-
with gr.Column(scale=1):
|
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-
api_status = gr.Textbox(
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-
label="API Status",
|
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-
value=check_api_health(),
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-
interactive=False
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)
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-
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-
with gr.Column(scale=1):
|
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-
num_vars = gr.Slider(
|
| 238 |
-
minimum=20,
|
| 239 |
-
maximum=500,
|
| 240 |
-
value=100,
|
| 241 |
-
step=10,
|
| 242 |
-
label="Number of Variables",
|
| 243 |
-
info="More variables = harder problem"
|
| 244 |
-
)
|
| 245 |
-
|
| 246 |
-
num_trials = gr.Slider(
|
| 247 |
-
minimum=1,
|
| 248 |
-
maximum=20,
|
| 249 |
-
value=5,
|
| 250 |
-
step=1,
|
| 251 |
-
label="Verification Trials",
|
| 252 |
-
info="More trials = higher confidence"
|
| 253 |
-
)
|
| 254 |
-
|
| 255 |
-
problem_info = gr.Markdown(get_problem_info(100))
|
| 256 |
-
num_vars.change(fn=get_problem_info, inputs=num_vars, outputs=problem_info)
|
| 257 |
-
|
| 258 |
-
run_btn = gr.Button("Run Verification", variant="primary", size="lg")
|
| 259 |
-
|
| 260 |
-
with gr.Column(scale=2):
|
| 261 |
-
results = gr.Markdown(
|
| 262 |
-
value="*Click 'Run Verification' to test the solver*",
|
| 263 |
-
elem_classes=["result-box"]
|
| 264 |
-
)
|
| 265 |
-
|
| 266 |
-
run_btn.click(
|
| 267 |
-
fn=run_verification,
|
| 268 |
-
inputs=[num_vars, num_trials],
|
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-
outputs=results
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-
)
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-
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-
|
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-
|
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-
only - no proprietary algorithms or source code are exposed.
|
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|
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-
|
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-
|
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-
- [Origin Neural](https://originneural.ai)
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|
| 289 |
if __name__ == "__main__":
|
| 290 |
demo.launch()
|
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|
| 1 |
"""
|
| 2 |
+
Daugherty Engine - SAT & Ising Solver Demo
|
| 3 |
+
API-only interface for testing constraint satisfaction and optimization.
|
| 4 |
|
| 5 |
This demo calls the public API at https://1millionspins.originneural.ai
|
| 6 |
No proprietary code is exposed - only API interactions.
|
|
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|
| 9 |
import gradio as gr
|
| 10 |
import requests
|
| 11 |
import time
|
|
|
|
| 12 |
|
| 13 |
# Public API endpoint
|
| 14 |
API_BASE = "https://1millionspins.originneural.ai/api"
|
| 15 |
|
| 16 |
# Hardware specs (public information from DigitalOcean pricing)
|
| 17 |
HARDWARE_INFO = {
|
| 18 |
+
"name": "NVIDIA RTX 6000 Ada",
|
| 19 |
+
"vram": 48, # GB
|
| 20 |
+
"architecture": "Ada Lovelace",
|
| 21 |
+
"cuda_cores": 18176,
|
| 22 |
+
"tensor_cores": 568,
|
| 23 |
+
"tdp": 300, # Watts
|
| 24 |
+
"typical_power": 195, # Watts at ~65% utilization
|
| 25 |
+
"cost_per_hour": 1.57, # USD (DigitalOcean GPU Droplet)
|
| 26 |
+
"source": "DigitalOcean GPU Droplet pricing, January 2026"
|
| 27 |
}
|
| 28 |
|
| 29 |
+
# Competitor reference data (all from public sources)
|
| 30 |
COMPETITORS = {
|
| 31 |
+
"D-Wave Advantage": {
|
| 32 |
+
"qubits": 5000,
|
| 33 |
+
"power": 25000, # Watts (system + cooling)
|
| 34 |
+
"cost_per_hour": 13.20, # AWS Braket pricing
|
| 35 |
+
"type": "Quantum Annealer",
|
| 36 |
+
"source": "AWS Braket pricing, D-Wave documentation"
|
| 37 |
+
},
|
| 38 |
+
"IBM Quantum (127Q)": {
|
| 39 |
+
"qubits": 127,
|
| 40 |
+
"power": 15000, # Watts (dilution refrigerator)
|
| 41 |
+
"cost_per_hour": 1.60, # IBM Quantum Network
|
| 42 |
+
"type": "Gate-based Quantum",
|
| 43 |
+
"source": "IBM Quantum pricing documentation"
|
| 44 |
+
}
|
| 45 |
}
|
| 46 |
|
| 47 |
|
|
|
|
| 51 |
response = requests.get(f"{API_BASE}/health", timeout=10)
|
| 52 |
if response.status_code == 200:
|
| 53 |
data = response.json()
|
| 54 |
+
gpu = data.get('gpu', 'Unknown')
|
| 55 |
+
return f"Online ({gpu})"
|
| 56 |
return "Offline"
|
| 57 |
except Exception as e:
|
| 58 |
return f"Error: {str(e)}"
|
| 59 |
|
| 60 |
|
| 61 |
+
def calculate_search_space(n):
|
| 62 |
+
"""Calculate and format the search space size."""
|
| 63 |
+
space = 2 ** n
|
| 64 |
+
if space > 1e100:
|
| 65 |
+
return f"2^{n} (astronomical)"
|
| 66 |
+
elif space > 1e30:
|
| 67 |
+
return f"2^{n} ({space:.2e})"
|
| 68 |
+
else:
|
| 69 |
+
return f"2^{n} = {space:,.0f}"
|
| 70 |
|
|
|
|
|
|
|
|
|
|
| 71 |
|
| 72 |
+
def get_sat_difficulty(num_vars):
|
| 73 |
+
"""Analyze SAT problem difficulty."""
|
| 74 |
+
clauses = int(num_vars * 4.27)
|
| 75 |
+
|
| 76 |
+
if num_vars <= 50:
|
| 77 |
+
difficulty, desc = "Easy", "Solvable in milliseconds"
|
| 78 |
+
elif num_vars <= 150:
|
| 79 |
+
difficulty, desc = "Medium", "Requires seconds"
|
| 80 |
+
elif num_vars <= 300:
|
| 81 |
+
difficulty, desc = "Hard", "May require minutes"
|
| 82 |
+
else:
|
| 83 |
+
difficulty, desc = "Very Hard", "Exponential blowup region"
|
| 84 |
+
|
| 85 |
+
return f"""
|
| 86 |
+
### Problem Preview
|
| 87 |
+
|
| 88 |
+
| Parameter | Value |
|
| 89 |
+
|-----------|-------|
|
| 90 |
+
| Variables | {num_vars} |
|
| 91 |
+
| Clauses | {clauses} |
|
| 92 |
+
| Ratio (α) | 4.27 |
|
| 93 |
+
| Search Space | {calculate_search_space(num_vars)} |
|
| 94 |
+
| Difficulty | **{difficulty}** |
|
| 95 |
+
|
| 96 |
+
*{desc}*
|
| 97 |
+
"""
|
| 98 |
+
|
| 99 |
+
|
| 100 |
+
def get_ising_difficulty(size):
|
| 101 |
+
"""Analyze Ising problem difficulty."""
|
| 102 |
+
interactions = size * (size - 1) // 2
|
| 103 |
+
|
| 104 |
+
if size <= 30:
|
| 105 |
+
difficulty, desc = "Easy", "Small spin glass"
|
| 106 |
+
elif size <= 100:
|
| 107 |
+
difficulty, desc = "Medium", "Moderate complexity"
|
| 108 |
+
elif size <= 300:
|
| 109 |
+
difficulty, desc = "Hard", "Large spin system"
|
| 110 |
+
else:
|
| 111 |
+
difficulty, desc = "Very Hard", "Massive optimization landscape"
|
| 112 |
+
|
| 113 |
+
return f"""
|
| 114 |
+
### Problem Preview
|
| 115 |
+
|
| 116 |
+
| Parameter | Value |
|
| 117 |
+
|-----------|-------|
|
| 118 |
+
| Spins | {size} |
|
| 119 |
+
| Interactions | ~{interactions:,} |
|
| 120 |
+
| Configuration Space | {calculate_search_space(size)} |
|
| 121 |
+
| Difficulty | **{difficulty}** |
|
| 122 |
+
|
| 123 |
+
*{desc}*
|
| 124 |
+
"""
|
| 125 |
+
|
| 126 |
+
|
| 127 |
+
def run_sat_verification(num_variables: int, num_trials: int):
|
| 128 |
+
"""Run SAT verification through the public API."""
|
| 129 |
num_variables = max(20, min(500, int(num_variables)))
|
| 130 |
num_trials = max(1, min(20, int(num_trials)))
|
| 131 |
|
| 132 |
+
num_clauses = int(num_variables * 4.27)
|
|
|
|
|
|
|
|
|
|
| 133 |
start_time = time.time()
|
| 134 |
|
| 135 |
try:
|
| 136 |
response = requests.post(
|
| 137 |
f"{API_BASE}/verify/sat",
|
| 138 |
+
json={"size": num_variables, "trials": num_trials},
|
|
|
|
|
|
|
|
|
|
| 139 |
timeout=120,
|
| 140 |
headers={"Content-Type": "application/json"}
|
| 141 |
)
|
|
|
|
| 143 |
elapsed_time = time.time() - start_time
|
| 144 |
|
| 145 |
if response.status_code != 200:
|
| 146 |
+
return f"## Error\n\nAPI Error: {response.status_code}"
|
| 147 |
|
| 148 |
data = response.json()
|
|
|
|
| 149 |
if not data.get("success"):
|
| 150 |
+
return f"## Error\n\n{data.get('error', 'Unknown error')}"
|
| 151 |
|
| 152 |
results = data.get("data", {}).get("results", {})
|
| 153 |
+
mean_sat = results.get("mean_satisfaction", 0)
|
| 154 |
+
std_sat = results.get("std_satisfaction", 0)
|
| 155 |
+
max_sat = results.get("max_satisfaction", 0)
|
| 156 |
+
min_sat = results.get("min_satisfaction", 0)
|
| 157 |
+
|
| 158 |
+
# Quality tier
|
| 159 |
+
if mean_sat >= 95:
|
| 160 |
+
tier = "EXCELLENT"
|
| 161 |
+
elif mean_sat >= 85:
|
| 162 |
+
tier = "GOOD"
|
| 163 |
+
elif mean_sat >= 70:
|
| 164 |
+
tier = "ACCEPTABLE"
|
| 165 |
else:
|
| 166 |
+
tier = "LOW"
|
| 167 |
|
| 168 |
+
# Resource calculations
|
| 169 |
+
energy_j = HARDWARE_INFO["typical_power"] * elapsed_time
|
| 170 |
cost_usd = (HARDWARE_INFO["cost_per_hour"] / 3600) * elapsed_time
|
| 171 |
+
dwave = COMPETITORS["D-Wave Advantage"]
|
| 172 |
+
dwave_energy = dwave["power"] * elapsed_time
|
| 173 |
+
power_ratio = round(dwave_energy / energy_j) if energy_j > 0 else 0
|
| 174 |
|
| 175 |
+
return f"""
|
| 176 |
+
## SAT Verification Results
|
| 177 |
+
|
| 178 |
+
### Performance
|
| 179 |
+
|
| 180 |
+
| Metric | Value |
|
| 181 |
+
|--------|-------|
|
| 182 |
+
| Mean Satisfaction | **{mean_sat:.2f}%** |
|
| 183 |
+
| Std Deviation | ±{std_sat:.2f}% |
|
| 184 |
+
| Best/Worst Trial | {max_sat:.2f}% / {min_sat:.2f}% |
|
| 185 |
+
| Quality Tier | **{tier}** |
|
| 186 |
+
|
| 187 |
+
### Resources
|
| 188 |
+
|
| 189 |
+
| Metric | Daugherty | D-Wave Equivalent |
|
| 190 |
+
|--------|-----------|-------------------|
|
| 191 |
+
| Time | {elapsed_time:.3f}s | {elapsed_time:.3f}s |
|
| 192 |
+
| Energy | {energy_j:.1f} J | {dwave_energy:.1f} J |
|
| 193 |
+
| Cost | ${cost_usd:.6f} | ${(dwave["cost_per_hour"]/3600)*elapsed_time:.6f} |
|
| 194 |
+
|
| 195 |
+
**Efficiency: {power_ratio}x less power than D-Wave**
|
| 196 |
+
|
| 197 |
+
---
|
| 198 |
+
*{num_variables} variables, {num_clauses} clauses, {num_trials} trials*
|
| 199 |
+
"""
|
| 200 |
|
| 201 |
except requests.exceptions.Timeout:
|
| 202 |
+
return "## Error\n\nRequest timed out. Try smaller problem."
|
|
|
|
|
|
|
| 203 |
except Exception as e:
|
| 204 |
+
return f"## Error\n\n{str(e)}"
|
|
|
|
| 205 |
|
| 206 |
|
| 207 |
+
def run_ising_verification(size: int, trials: int):
|
| 208 |
+
"""Run Ising model verification through the public API."""
|
| 209 |
+
size = max(10, min(500, int(size)))
|
| 210 |
+
trials = max(1, min(20, int(trials)))
|
| 211 |
|
| 212 |
+
start_time = time.time()
|
|
|
|
|
|
|
| 213 |
|
| 214 |
+
try:
|
| 215 |
+
response = requests.post(
|
| 216 |
+
f"{API_BASE}/verify/ising",
|
| 217 |
+
json={"size": size, "trials": trials},
|
| 218 |
+
timeout=120,
|
| 219 |
+
headers={"Content-Type": "application/json"}
|
| 220 |
+
)
|
| 221 |
|
| 222 |
+
elapsed_time = time.time() - start_time
|
| 223 |
+
|
| 224 |
+
if response.status_code != 200:
|
| 225 |
+
return f"## Error\n\nAPI Error: {response.status_code}"
|
| 226 |
+
|
| 227 |
+
data = response.json()
|
| 228 |
+
if not data.get("success"):
|
| 229 |
+
return f"## Error\n\n{data.get('error', 'Unknown error')}"
|
| 230 |
+
|
| 231 |
+
results = data.get("data", {}).get("results", {})
|
| 232 |
+
quality_score = results.get("quality_score", 0)
|
| 233 |
+
quality_tier = results.get("quality_tier", "UNKNOWN")
|
| 234 |
+
solution_hash = results.get("solution_hash", "N/A")
|
| 235 |
+
accelerator = data.get("data", {}).get("accelerator", "Unknown")
|
| 236 |
+
|
| 237 |
+
# Resource calculations
|
| 238 |
+
energy_j = HARDWARE_INFO["typical_power"] * elapsed_time
|
| 239 |
+
cost_usd = (HARDWARE_INFO["cost_per_hour"] / 3600) * elapsed_time
|
| 240 |
+
dwave = COMPETITORS["D-Wave Advantage"]
|
| 241 |
+
dwave_energy = dwave["power"] * elapsed_time
|
| 242 |
+
power_ratio = round(dwave_energy / energy_j) if energy_j > 0 else 0
|
| 243 |
+
|
| 244 |
+
return f"""
|
| 245 |
+
## Ising Model Results
|
| 246 |
+
|
| 247 |
+
### Optimization Performance
|
| 248 |
|
|
|
|
| 249 |
| Metric | Value |
|
| 250 |
|--------|-------|
|
| 251 |
+
| Quality Score | **{quality_score:.1f}** |
|
| 252 |
+
| Quality Tier | **{quality_tier}** |
|
| 253 |
+
| Solution Hash | `{solution_hash}` |
|
| 254 |
+
| Accelerator | {accelerator} |
|
| 255 |
+
|
| 256 |
+
### Resources
|
| 257 |
+
|
| 258 |
+
| Metric | Daugherty | D-Wave Equivalent |
|
| 259 |
+
|--------|-----------|-------------------|
|
| 260 |
+
| Time | {elapsed_time:.3f}s | {elapsed_time:.3f}s |
|
| 261 |
+
| Energy | {energy_j:.1f} J | {dwave_energy:.1f} J |
|
| 262 |
+
| Cost | ${cost_usd:.6f} | ${(dwave["cost_per_hour"]/3600)*elapsed_time:.6f} |
|
| 263 |
+
|
| 264 |
+
**Efficiency: {power_ratio}x less power than D-Wave**
|
| 265 |
|
| 266 |
---
|
| 267 |
+
*{size} spins, {trials} trials*
|
| 268 |
+
"""
|
| 269 |
+
|
| 270 |
+
except requests.exceptions.Timeout:
|
| 271 |
+
return "## Error\n\nRequest timed out. Try smaller problem."
|
| 272 |
+
except Exception as e:
|
| 273 |
+
return f"## Error\n\n{str(e)}"
|
| 274 |
+
|
| 275 |
+
|
| 276 |
+
# Educational content
|
| 277 |
+
INTRO_MD = """
|
| 278 |
+
# Daugherty Engine
|
| 279 |
+
|
| 280 |
+
GPU-accelerated constraint satisfaction and combinatorial optimization.
|
| 281 |
+
Achieving quantum-competitive results on classical hardware.
|
| 282 |
+
|
| 283 |
+
## Available Tests
|
| 284 |
+
|
| 285 |
+
| Problem | Description | Quantum Equivalent |
|
| 286 |
+
|---------|-------------|-------------------|
|
| 287 |
+
| **3-SAT** | Boolean satisfiability at phase transition | Gate-based QC |
|
| 288 |
+
| **Ising** | Spin glass energy minimization | Quantum Annealing |
|
| 289 |
"""
|
| 290 |
|
| 291 |
+
ABOUT_SAT_MD = """
|
| 292 |
+
## Boolean Satisfiability (SAT)
|
| 293 |
|
| 294 |
+
### The Problem
|
| 295 |
+
|
| 296 |
+
Given a boolean formula in CNF (Conjunctive Normal Form):
|
| 297 |
+
```
|
| 298 |
+
(x₁ OR ¬x₂ OR x₃) AND (¬x₁ OR x₂ OR ¬x₄) AND ...
|
| 299 |
+
```
|
| 300 |
+
|
| 301 |
+
Find an assignment of TRUE/FALSE to each variable that satisfies ALL clauses.
|
| 302 |
+
|
| 303 |
+
### Why It Matters
|
| 304 |
+
|
| 305 |
+
- **First NP-Complete problem** (Cook-Levin theorem, 1971)
|
| 306 |
+
- **Universal reducer**: Most combinatorial problems can be encoded as SAT
|
| 307 |
+
- **Applications**: Circuit verification, AI planning, cryptanalysis, scheduling
|
| 308 |
+
|
| 309 |
+
### The Phase Transition
|
| 310 |
|
| 311 |
+
At α = 4.27 (clauses/variables ratio):
|
| 312 |
+
- **Below 4.27**: Almost always satisfiable
|
| 313 |
+
- **Above 4.27**: Almost always unsatisfiable
|
| 314 |
+
- **At 4.27**: Maximum uncertainty — **hardest instances**
|
| 315 |
|
| 316 |
+
We test at this critical threshold.
|
| 317 |
"""
|
| 318 |
|
| 319 |
+
ABOUT_ISING_MD = """
|
| 320 |
+
## Ising Model Optimization
|
| 321 |
|
| 322 |
+
### The Problem
|
|
|
|
|
|
|
|
|
|
|
|
|
| 323 |
|
| 324 |
+
The Ising model represents a system of interacting spins (±1):
|
| 325 |
+
|
| 326 |
+
```
|
| 327 |
+
H(s) = -Σᵢⱼ Jᵢⱼ sᵢ sⱼ - Σᵢ hᵢ sᵢ
|
| 328 |
+
```
|
| 329 |
+
|
| 330 |
+
Goal: Find spin configuration that minimizes total energy H.
|
| 331 |
+
|
| 332 |
+
### Why It Matters
|
| 333 |
+
|
| 334 |
+
- **Native to quantum annealers**: D-Wave's fundamental problem type
|
| 335 |
+
- **QUBO mapping**: Most optimization problems encode to Ising/QUBO
|
| 336 |
+
- **Applications**: Portfolio optimization, logistics, machine learning
|
| 337 |
+
|
| 338 |
+
### Connection to Quantum Computing
|
| 339 |
+
|
| 340 |
+
Quantum annealers (D-Wave) physically simulate the Ising model using superconducting qubits. Our approach achieves competitive results using GPU parallelism instead of quantum effects.
|
| 341 |
+
"""
|
| 342 |
+
|
| 343 |
+
HARDWARE_MD = f"""
|
| 344 |
+
## Hardware Comparison
|
| 345 |
+
|
| 346 |
+
### Daugherty Engine
|
| 347 |
+
|
| 348 |
+
| Spec | Value |
|
| 349 |
+
|------|-------|
|
| 350 |
+
| GPU | {HARDWARE_INFO["name"]} |
|
| 351 |
+
| VRAM | {HARDWARE_INFO["vram"]} GB |
|
| 352 |
+
| Architecture | {HARDWARE_INFO["architecture"]} |
|
| 353 |
+
| CUDA Cores | {HARDWARE_INFO["cuda_cores"]:,} |
|
| 354 |
+
| Power | {HARDWARE_INFO["typical_power"]}W typical |
|
| 355 |
+
| Cost | ${HARDWARE_INFO["cost_per_hour"]}/hour |
|
| 356 |
+
|
| 357 |
+
### Quantum Systems
|
| 358 |
+
|
| 359 |
+
| System | Qubits | Power | Cost/Hour |
|
| 360 |
+
|--------|--------|-------|-----------|
|
| 361 |
+
| D-Wave Advantage | 5,000 | ~25 kW | $13.20 |
|
| 362 |
+
| IBM Quantum | 127 | ~15 kW | $1.60 |
|
| 363 |
+
| Google Sycamore | 70 | ~25 kW | N/A |
|
| 364 |
+
|
| 365 |
+
### Key Insight
|
| 366 |
+
|
| 367 |
+
Quantum computers require:
|
| 368 |
+
- **Dilution refrigerators** (10-15 millikelvin)
|
| 369 |
+
- **Electromagnetic shielding**
|
| 370 |
+
- **Error correction overhead**
|
| 371 |
+
|
| 372 |
+
Our GPU approach avoids these requirements entirely.
|
| 373 |
+
"""
|
| 374 |
+
|
| 375 |
+
METHODOLOGY_MD = """
|
| 376 |
+
## Methodology
|
| 377 |
+
|
| 378 |
+
### SAT Verification
|
| 379 |
+
|
| 380 |
+
We measure **satisfaction rate** — percentage of clauses satisfied.
|
| 381 |
+
|
| 382 |
+
| Tier | Satisfaction | Meaning |
|
| 383 |
+
|------|-------------|---------|
|
| 384 |
+
| EXCELLENT | ≥95% | Near-optimal |
|
| 385 |
+
| GOOD | ≥85% | High quality |
|
| 386 |
+
| ACCEPTABLE | ≥70% | Reasonable |
|
| 387 |
+
| LOW | <70% | Very hard instance |
|
| 388 |
+
|
| 389 |
+
### Ising Verification
|
| 390 |
+
|
| 391 |
+
We measure **quality score** — normalized energy minimization quality.
|
| 392 |
+
|
| 393 |
+
| Tier | Meaning |
|
| 394 |
+
|------|---------|
|
| 395 |
+
| EXCELLENT | Ground state or near |
|
| 396 |
+
| GOOD | Low energy solution |
|
| 397 |
+
| ACCEPTABLE | Local minimum |
|
| 398 |
+
| POOR | High energy state |
|
| 399 |
+
|
| 400 |
+
### Why These Metrics?
|
| 401 |
+
|
| 402 |
+
At the phase transition, problems may be unsatisfiable. Satisfaction percentage captures solution quality even for UNSAT instances (MAX-SAT interpretation).
|
| 403 |
"""
|
| 404 |
|
| 405 |
+
LINKS_MD = """
|
| 406 |
+
## Resources
|
| 407 |
|
| 408 |
+
### Live Demos
|
| 409 |
+
- [Full Interactive Demo](https://1millionspins.originneural.ai) — Animated visualizations
|
| 410 |
+
- [Origin Neural](https://originneural.ai) — Company site
|
| 411 |
+
|
| 412 |
+
### Academic References
|
| 413 |
+
- Cook (1971) — "The Complexity of Theorem-Proving Procedures"
|
| 414 |
+
- Mézard et al. (2002) — "Random Satisfiability Problems"
|
| 415 |
+
- Kirkpatrick & Selman (1994) — "Critical Behavior in SAT"
|
| 416 |
+
- Barahona (1982) — "On the computational complexity of Ising spin glass models"
|
| 417 |
+
|
| 418 |
+
### Contact
|
| 419 |
+
**Shawn@smartledger.solutions**
|
| 420 |
+
"""
|
| 421 |
+
|
| 422 |
+
|
| 423 |
+
# Build Interface
|
| 424 |
with gr.Blocks(
|
| 425 |
+
title="Daugherty Engine",
|
| 426 |
+
theme=gr.themes.Soft(primary_hue="emerald"),
|
| 427 |
+
css=".gradio-container { max-width: 1100px !important; }"
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 428 |
) as demo:
|
| 429 |
|
| 430 |
+
gr.Markdown(INTRO_MD)
|
| 431 |
+
|
| 432 |
+
with gr.Row():
|
| 433 |
+
api_status = gr.Textbox(
|
| 434 |
+
label="API Status",
|
| 435 |
+
value=check_api_health(),
|
| 436 |
+
interactive=False,
|
| 437 |
+
scale=3
|
| 438 |
+
)
|
| 439 |
+
refresh_btn = gr.Button("Refresh", size="sm", scale=1)
|
| 440 |
+
refresh_btn.click(fn=check_api_health, outputs=api_status)
|
| 441 |
|
| 442 |
+
with gr.Tabs():
|
| 443 |
+
# SAT Tab
|
| 444 |
+
with gr.TabItem("3-SAT Solver"):
|
| 445 |
+
with gr.Row():
|
| 446 |
+
with gr.Column(scale=1):
|
| 447 |
+
sat_vars = gr.Slider(20, 500, 100, step=10, label="Variables")
|
| 448 |
+
sat_trials = gr.Slider(1, 20, 5, step=1, label="Trials")
|
| 449 |
+
sat_info = gr.Markdown(get_sat_difficulty(100))
|
| 450 |
+
sat_vars.change(get_sat_difficulty, sat_vars, sat_info)
|
| 451 |
+
sat_btn = gr.Button("Run SAT Verification", variant="primary")
|
| 452 |
|
| 453 |
+
with gr.Column(scale=2):
|
| 454 |
+
sat_results = gr.Markdown("*Click 'Run SAT Verification' to test*")
|
|
|
|
| 455 |
|
| 456 |
+
sat_btn.click(run_sat_verification, [sat_vars, sat_trials], sat_results)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 457 |
|
| 458 |
+
# Ising Tab
|
| 459 |
+
with gr.TabItem("Ising Model"):
|
| 460 |
+
with gr.Row():
|
| 461 |
+
with gr.Column(scale=1):
|
| 462 |
+
ising_size = gr.Slider(10, 500, 50, step=10, label="Spins")
|
| 463 |
+
ising_trials = gr.Slider(1, 20, 5, step=1, label="Trials")
|
| 464 |
+
ising_info = gr.Markdown(get_ising_difficulty(50))
|
| 465 |
+
ising_size.change(get_ising_difficulty, ising_size, ising_info)
|
| 466 |
+
ising_btn = gr.Button("Run Ising Verification", variant="primary")
|
| 467 |
|
| 468 |
+
with gr.Column(scale=2):
|
| 469 |
+
ising_results = gr.Markdown("*Click 'Run Ising Verification' to test*")
|
| 470 |
|
| 471 |
+
ising_btn.click(run_ising_verification, [ising_size, ising_trials], ising_results)
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
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|
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|
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|
|
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|
|
|
|
|
|
|
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|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 472 |
|
| 473 |
+
# Info Tabs
|
| 474 |
+
with gr.TabItem("About SAT"):
|
| 475 |
+
gr.Markdown(ABOUT_SAT_MD)
|
| 476 |
|
| 477 |
+
with gr.TabItem("About Ising"):
|
| 478 |
+
gr.Markdown(ABOUT_ISING_MD)
|
| 479 |
|
| 480 |
+
with gr.TabItem("Hardware"):
|
| 481 |
+
gr.Markdown(HARDWARE_MD)
|
|
|
|
| 482 |
|
| 483 |
+
with gr.TabItem("Methodology"):
|
| 484 |
+
gr.Markdown(METHODOLOGY_MD)
|
|
|
|
| 485 |
|
| 486 |
+
with gr.TabItem("Links"):
|
| 487 |
+
gr.Markdown(LINKS_MD)
|
| 488 |
|
| 489 |
+
gr.Markdown("---")
|
| 490 |
+
gr.Markdown(
|
| 491 |
+
"*API-only demo — no proprietary code exposed. "
|
| 492 |
+
"Built with [Gradio](https://gradio.app).*"
|
| 493 |
+
)
|
| 494 |
|
| 495 |
if __name__ == "__main__":
|
| 496 |
demo.launch()
|