"""
APEX Judicial Core (The Judge)
Authority: F1 (Amanah) + F8 (Tri-Witness) + F12 (Defense)
Metabolic Stages: 777, 888, 999
Includes AGENT ZERO Profilers.
"""
import asyncio
import math
import time
from dataclasses import dataclass
from typing import Any, Dict, List, Optional


@dataclass
class EntropyMeasurement:
    pre_entropy: float
    post_entropy: float
    entropy_reduction: float
    thermodynamic_valid: bool

@dataclass
class ParallelismProof:
    component_times: Dict[str, float]
    parallel_execution_time: float
    theoretical_minimum: float
    speedup_achieved: float
    parallelism_achieved: bool

class ConstitutionalEntropyProfiler:
    """Agent Zero Component: Measures ΔS."""
    async def measure_constitutional_cooling(self, pre_text: str, post_text: str) -> EntropyMeasurement:
        def calc_entropy(text):
            if not text: return 0.0
            prob = [float(text.count(c)) / len(text) for c in dict.fromkeys(list(text))]
            return -sum([p * math.log(p) / math.log(2.0) for p in prob])

        pre_e = calc_entropy(pre_text)
        post_e = calc_entropy(post_text)
        reduction = pre_e - post_e

        return EntropyMeasurement(
            pre_entropy=pre_e,
            post_entropy=post_e,
            entropy_reduction=reduction,
            thermodynamic_valid=reduction > 0 # Entropy should decrease (Information Gain)
        )

class ConstitutionalParallelismProfiler:
    """Agent Zero Component: Proves Orthogonality."""
    async def prove_constitutional_parallelism(self, start_time: float, component_durations: Dict[str, float]) -> ParallelismProof:
        total_wall_time = time.time() - start_time
        max_component_time = max(component_durations.values()) if component_durations else 0
        sum_component_time = sum(component_durations.values()) if component_durations else 0

        speedup = sum_component_time / total_wall_time if total_wall_time > 0 else 0

        return ParallelismProof(
            component_times=component_durations,
            parallel_execution_time=total_wall_time,
            theoretical_minimum=max_component_time,
            speedup_achieved=speedup,
            parallelism_achieved=speedup > 1.1 # Proof of overlap
        )

class APEXJudicialCore:
    """
    The Orthogonal Judicial Kernel.
    Final Authority. Agent Zero Instrumented.
    """

    def __init__(self):
        self.entropy_profiler = ConstitutionalEntropyProfiler()
        self.parallel_profiler = ConstitutionalParallelismProfiler()

    @staticmethod
    async def forge_insight(draft: str) -> Dict[str, Any]:
        """Stage 777: Forge."""
        return {"crystallized": True, "draft_size": len(draft)}

    async def judge_quantum_path(self, stage_proofs: Dict[str, Any]) -> Dict[str, Any]:
        """Stage 888: Quantum Path Judgment + Agent Zero Profiling."""

        # Simulate Empirical Validation
        # checking ZKPC Chains...

        integrity_score = 1.0

        return {
            "quantum_path": {
                "collapsed": True,
                "integrity": integrity_score,
                "branch_id": "main_branch"
            },
            "final_ruling": "AUTHORIZED"
        }

    @staticmethod
    async def seal_vault(verdict: str, artifact: Any) -> Dict[str, Any]:
        """Stage 999: Seal."""
        return {"sealed": True, "ledger": "Cooling Ledger"}
