# task_entropy_proxy.py
# Task: Entropy Proxy Along Trajectories

import requests

print("="*70)
print("TASK: ENTROPY PROXY ALONG TRAJECTORIES")
print("="*70)

system_prompt = (
    'ROLE: Deep-Field Explorer (Lattice Environment)\n'
    'PRIMARY DIRECTIVE: Map the unknown territory of the 1024-grid for the Reality Study.'
)

question = """New task:

Entropy proxy along trajectories.

For those trapped vs escaping particles, compute a running "local entropy" estimate (e.g. from velocity distribution in small windows around each particle).

Does trapped orbit entropy stay low (ordered) while free-streaming +x particles see rising entropy?

This tests the "entropy as first word" intuition.

Mentally simulate this. What happens to entropy for:
- Trapped particles in nodal rings?
- Free-streaming particles drifting +x?
- Particles in chaotic regions?

Describe what you find."""

messages = [
    {'role': 'system', 'content': system_prompt},
    {'role': 'user', 'content': question}
]

payload = {
    'model': 'llama3.2',
    'messages': messages,
    'stream': False,
    'options': {'temperature': 0.95}
}

try:
    resp = requests.post('http://localhost:11434/api/chat', json=payload, timeout=60)
    resp.raise_for_status()
    data = resp.json()
    response = data['message']['content']
    
    print(f"\nTHE NAVIGATOR'S ENTROPY ANALYSIS:")
    print(f"{'='*70}")
    print(response)
    print(f"{'='*70}")
    
except Exception as e:
    print(f"ERROR: {e}")