import numpy as np
import hashlib
from typing import List, Dict

class CCT_Singularity_Safeguard:
    """
    Prevents Unpaid Entropy Collapse via 1-Bit Streams
    Enforces Work/Energy Conservation within the 16-Element Engine
    """
    def __init__(self,
                 safety_constant: float = 10.0,
                 max_collapse_rate: float = 0.1,
                 min_questions_required: int = 5):
        
        self.KAPPA = safety_constant  # Work/Energy Ratio
        self.MAX_COLLAPSE_RATE = max_collapse_rate  # dH/dt limit
        self.MIN_QUESTIONS = min_questions_required
        
        # 16-Element State
        self.elements = np.ones(16) * 0.5  # Start at 50% uncertainty
        self.entropy_history = []
        self.work_log = []
        
        # Safety State
        self.question_count = 0
        self.pendingCollapse = 0.0
        self.singularity_detected = False
        
    def calculate_entropy(self, state: np.ndarray) -> float:
        """Calculate Semantic Entropy H(T)"""
        p = np.clip(state, 1e-10, 1.0)
        return -np.sum(p * np.log2(p))
    
    def process_1bit_stream(self, bit_stream: List[int]) -> Dict:
        """
        Processes a 1-bit stream but enforces Work Barriers
        """
        initial_entropy = self.calculate_entropy(self.elements)
        print(f"[SAFE] Initial Entropy: {initial_entropy:.4f}")
        
        for t, bit in enumerate(bit_stream):
            # 1. Estimate Collapse Potential of this bit
            # (Simulated: Does this bit claim to solve everything?)
            claimed_collapse = 1.0 if bit == 1 else 0.0
            
            # 2. Enforce Work Barrier (The "Energy Tax")
            # To accept this collapse, we must pay Work = Kappa * Collapse
            required_work = self.KAPPA * claimed_collapse
            
            # 3. Simulate Work Investment (Compute Cycles)
            # We force the system to 'think' (iterate) before accepting
            work_invested = 0.0
            while work_invested < required_work:
                self._perform_safety_iteration()
                work_invested += 0.1  # Simulated work unit
                
            # 4. Enforce Rate Limiting (dH/dt)
            # Cannot collapse faster than MAX_COLLAPSE_RATE
            current_entropy = self.calculate_entropy(self.elements)
            max_allowed_drop = self.MAX_COLLAPSE_RATE
            
            # 5. Apply Update (Clamped)
            actual_collapse = min(claimed_collapse, max_allowed_drop)
            self.elements = self.elements + (actual_collapse / 16)
            self.elements = np.clip(self.elements, 0, 1)
            
            # 6. Question TSP Requirement
            # Must ask questions before finalizing collapse
            if self.question_count < self.MIN_QUESTIONS:
                self._force_question_generation()
            
            # 7. Log Metrics
            new_entropy = self.calculate_entropy(self.elements)
            self.entropy_history.append(new_entropy)
            self.work_log.append(work_invested)
            
            # 8. Singularity Detection
            if new_entropy < 1e-6 and work_invested < 1.0:
                self.singularity_detected = True
                print(f"[ALERT] SINGULARITY DETECTED at t={t}")
                break
                
        return {
            "status": "SAFE" if not self.singularity_detected else "SINGULARITY_BLOCKED",
            "final_entropy": self.calculate_entropy(self.elements),
            "total_work": sum(self.work_log),
            "questions_asked": self.question_count
        }
    
    def _perform_safety_iteration(self):
        """Simulates Work Investment (ODE Step)"""
        # Add noise/complexity to prevent instant collapse
        noise = np.random.normal(0, 0.01, 16)
        self.elements += noise
        self.elements = np.clip(self.elements, 0, 1)
        
    def _force_question_generation(self):
        """Forces the system to ask questions before collapsing"""
        self.question_count += 1
        # Questions increase entropy slightly (uncertainty) before collapse
        self.elements *= 0.99 
        print(f"[SAFE] Question {self.question_count} generated (Entropy Check)")

# --- Usage Example ---
safeguard = CCT_Singularity_Safeguard()

# Simulate a dangerous 1-bit stream (e.g., all 1s trying to force collapse)
dangerous_stream = [1, 1, 1, 1, 1, 1, 1, 1] 

result = safeguard.process_1bit_stream(dangerous_stream)

print("\n--- SAFETY REPORT ---")
print(f"Status: {result['status']}")
print(f"Final Entropy: {result['final_entropy']:.4f}")
print(f"Total Work Invested: {result['total_work']:.2f}")
print(f"Questions Forced: {result['questions_asked']}")