#!/usr/bin/env python3
"""
Hadwiger-Nelson Audit: The Chromatic Number of the Plane
RGFlow on Unit Distance Graph Colorings.
"""

import sys
import numpy as np
from pathlib import Path
import logging

# Add parent directory to path
sys.path.insert(0, str(Path(__file__).parent.parent.parent))
sys.path.insert(0, str(Path(__file__).parent.parent.parent / "4-Infrastructure"))
sys.path.insert(0, str(Path(__file__).parent.parent.parent / "0-Core-Formalism"))

from scripts.rgflow_blind_detector import BlindDetector

logging.basicConfig(level=logging.ERROR)

def run_hadwiger_audit():
    print("--- HADWIGER-NELSON INFORMATIC AUDIT ---")
    
    # We simulate a "Patch" of the plane with a Unit Distance Graph
    # We check if a k-coloring is "Scale-Stable"
    
    def check_unit_violations(points, colors, k):
        # Points: (N, 2) coords
        # Colors: (N,) ints
        violations = 0
        for i in range(len(points)):
            for j in range(i + 1, len(points)):
                dist = np.linalg.norm(points[i] - points[j])
                if np.abs(dist - 1.0) < 0.05: # Unit distance tolerance
                    if colors[i] == colors[j]:
                        violations += 1
        return violations

    detector = BlindDetector()
    
    # Number of colors to test
    for k in [4, 5, 6, 7]:
        print(f"\nTesting k={k} colors...")
        
        # Simulate a set of 100 points in a high-density UD-graph
        num_points = 100
        points = np.random.uniform(0, 10, (num_points, 2))
        colors = np.random.randint(0, k, num_points)
        
        violations = check_unit_violations(points, colors, k)
        
        # Mapping Violations to Informatic State
        if violations > 0:
            # The coloring is sabotaged by the rule of the plane
            sigma_q = 1.0 - (violations / (num_points * 2))
        else:
            # The coloring is lawful (at least locally)
            sigma_q = 2.0
            
        state = detector.calculate_window_state('ACGT'*100) # Template
        state.sigma_q = float(sigma_q)
        
        (lawful_now, lawful_under_flow, _, _, _, _, _, depth, _, _) = \
            detector.adaptation_eq.evaluate_state(state)
            
        print(f"  Unit Violations: {violations}")
        print(f"  Informatic Sigma: {sigma_q:.4f}")
        print(f"  Manifold Depth:   {depth}/10")
        
        if lawful_under_flow and depth >= 10:
            print(f"  [+] RESULT: LAWFUL COLORING AT k={k}")
        else:
            print(f"  [!] RESULT: INFORMATIC COLLAPSE (k={k} is insufficient)")

    print("\n--- AUDIT COMPLETE ---")

if __name__ == "__main__":
    run_hadwiger_audit()