#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Sovereign Polyglot Verification Module
محرك التحقق متعدد اللغات السيادي

Architecture: APL-inspired dense array verification with multi-lingual identifiers
Operator: Ahmad Ali Parr | Infrastructure: Local First Sovereign OS

Author: Ahmad Ali Parr
License: Sovereign Source
"""

import sys
import hashlib
import json
import time
import math
from dataclasses import dataclass, field
from typing import Any, List, Dict, Tuple
from datetime import datetime

# ═══════════════════════════════════════════════════════════════
# MULTI-LINGUAL IDENTIFIER DECLARATIONS
# 多言語識別子宣言 | إعلانات المعرفات متعددة اللغات
# ═══════════════════════════════════════════════════════════════

# English (logic descriptors)
VerificationState = "verification_state"
ProofObligation = "proof_obligation"
EntropyBound = "entropy_bound"

# Japanese (高密度構造概念 - high-density structural concepts)
検証状態 = "verification_state_ja"
証明義務 = "proof_obligation_ja"
エントロピー境界 = "entropy_bound_ja"
配列変換 = "array_transform"
制約検証 = "constraint_validation"
証明生成 = "proof_generation"

# Arabic/RTL (معرفات RTL - RTL identifiers)
حالة_التحقق = "verification_state_ar"
الالتزام_بالإثبات = "proof_obligation_ar"
حد_الإنتروبيا = "entropy_bound_ar"
مصفوفة_التحويل = "array_transform_ar"
التحقق_من_القيود = "constraint_validation_ar"
توليد_الدليل = "proof_generation_ar"

# ═══════════════════════════════════════════════════════════════
# APL-INSPIRED BOOLEAN KERNEL (NAND-only basis)
# NANDのみのブール代数カーネル | نواة جبر منطقي قائمة على NAND فقط
# ═══════════════════════════════════════════════════════════════

class BooleanKernel:
    """
    Dyalog APL/K-inspired NAND-only boolean algebra

    All boolean operations reduce to NAND gate.
    Mathematically universal and language-agnostic.

    すべてのブール演算はNANDゲートに還元される
    جميع العمليات المنطقية تُختزل إلى بوابة NAND
    """

    @staticmethod
    def nand(a: int, b: int) -> int:
        """Primitive: NAND(a,b) = 1 - a*b"""
        return 1 - (a * b)

    @staticmethod
    def not_(x: int) -> int:
        """NOT(x) = NAND(x, x)"""
        return BooleanKernel.nand(x, x)

    @staticmethod
    def and_(a: int, b: int) -> int:
        """AND(a,b) = NAND(NAND(a,b), NAND(a,b))"""
        nand_ab = BooleanKernel.nand(a, b)
        return BooleanKernel.nand(nand_ab, nand_ab)

    @staticmethod
    def or_(a: int, b: int) -> int:
        """OR(a,b) = NAND(NAND(a,a), NAND(b,b))"""
        return BooleanKernel.nand(BooleanKernel.nand(a, a),
                                   BooleanKernel.nand(b, b))

    @staticmethod
    def implies(a: int, b: int) -> int:
        """IMPLIES(a,b) = OR(NOT(a), b)"""
        return BooleanKernel.or_(BooleanKernel.not_(a), b)

    @staticmethod
    def equal(a: int, b: int) -> int:
        """EQUAL(a,b) = AND(IMPLIES(a,b), IMPLIES(b,a))"""
        return BooleanKernel.and_(BooleanKernel.implies(a, b),
                                   BooleanKernel.implies(b, a))

# ═══════════════════════════════════════════════════════════════
# VERIFICATION CONTEXT
# 検証コンテキスト | سياق التحقق
# ═══════════════════════════════════════════════════════════════

@dataclass
class VerificationContext:
    """
    Multi-lingual verification context with entropy tracking

    Invariants:
    - active => trusted (active agents must be trusted)
    - entropy <= 0.20 (Shannon entropy bound ω < Ω)

    不変条件:
    - アクティブ => 信頼済み
    - エントロピー <= 0.20

    الثوابت:
    - نشط => موثوق
    - الإنتروبيا <= 0.20
    """
    agent_id: str
    role: str
    entropy: float = 0.0
    trusted: bool = False
    active: bool = False
    状態: str = "初期化"  # Japanese state
    حالة: str = "مُهيأ"    # Arabic state

    def __post_init__(self):
        # Invariant: active => trusted
        if self.active and not self.trusted:
            raise ValueError(
                "INVARIANT VIOLATION: active(agent) => trusted(agent)\n"
                "不変条件違反: アクティブ => 信頼済み\n"
                "انتهاك الثابت: نشط => موثوق"
            )

        # Invariant: entropy <= 0.20
        if self.entropy > 0.20:
            raise ValueError(
                f"ENTROPY VIOLATION: {self.entropy} > 0.20\n"
                f"エントロピー違反: {self.entropy} > 0.20\n"
                f"انتهاك الإنتروبيا: {self.entropy} > 0.20"
            )

# ═══════════════════════════════════════════════════════════════
# DENSE ARRAY VERIFICATION ENGINE
# 密配列検証エンジン | محرك التحقق من المصفوفات الكثيفة
# ═══════════════════════════════════════════════════════════════

class DenseArrayVerifier:
    """
    APL-inspired dense array verification with multi-lingual telemetry

    Provides:
    - NAND-based array transformations
    - Shannon entropy constraint validation (H ≤ 0.20 nats)
    - Cryptographic proof obligation generation
    - Tri-lingual execution logging

    APLにインスパイアされた密配列検証と多言語テレメトリー
    التحقق من المصفوفات الكثيفة مستوحى من APL مع القياس متعدد اللغات
    """

    def __init__(self, context: VerificationContext):
        self.ctx = context
        self.kernel = BooleanKernel()
        self.execution_log: List[Dict] = []
        self.memory_states: List[Dict] = []
        self.artifact_hashes: List[str] = []

    def _log(self, stage: str, data: Any, lang: str = "en"):
        """
        Multi-lingual execution logging
        多言語実行ログ記録
        تسجيل التنفيذ متعدد اللغات
        """
        stage_translations = {
            "verification": {"ja": "検証", "ar": "التحقق"},
            "transform": {"ja": "変換", "ar": "تحويل"},
            "proof": {"ja": "証明", "ar": "إثبات"},
            "entropy_check": {"ja": "エントロピー確認", "ar": "فحص_الإنتروبيا"},
            "array_transform": {"ja": "配列変換", "ar": "تحويل_المصفوفة"},
            "constraint_validation": {"ja": "制約検証", "ar": "التحقق_من_القيود"},
            "proof_generation": {"ja": "証明生成", "ar": "توليد_الدليل"},
            "transform_complete": {"ja": "変換完了", "ar": "اكتمال_التحويل"},
            "proof_complete": {"ja": "証明完了", "ar": "اكتمال_الدليل"}
        }

        trans = stage_translations.get(stage, {"ja": stage, "ar": stage})

        entry = {
            "timestamp": time.time_ns(),
            "stage": stage,
            "stage_ja": trans["ja"],
            "stage_ar": trans["ar"],
            "data": data,
            "entropy": self.ctx.entropy,
            "trusted": self.ctx.trusted
        }
        self.execution_log.append(entry)
        return entry

    def _hash_state(self, state: Any) -> str:
        """
        Generate deterministic hash of state
        状態の決定論的ハッシュを生成
        توليد هاش حتمي للحالة
        """
        serialized = json.dumps(state, sort_keys=True, default=str)
        return hashlib.sha256(serialized.encode()).hexdigest()[:16]

    def verify_entropy_constraint(self, candidates: List[float]) -> Tuple[List[float], List[bool]]:
        """
        Shannon entropy constraint: H = -Σ(p ln p) <= 0.20 nats

        シャノンエントロピー制約: H = -Σ(p ln p) <= 0.20 ナット
        قيد إنتروبيا شانون: H = -Σ(p ln p) <= 0.20 ناتات
        """
        self._log("entropy_check", {"input_candidates": candidates})

        accepted = []
        proofs = []

        for i, c in enumerate(candidates):
            # Simulate probability distribution
            p = max(c, 1e-10)  # Avoid log(0)
            H = -p * math.log(p)

            valid = H <= 0.20
            accepted.append(c if valid else 0.0)
            proofs.append(valid)

            self._log("constraint_validation", {
                "index": i,
                "candidate": c,
                "entropy": H,
                "accepted": valid,
                "エントロピー": H,
                "الإنتروبيا": H
            })

        return accepted, proofs

    def apl_transform(self, matrix: List[List[int]]) -> List[List[int]]:
        """
        APL-style dense matrix transformation using NAND kernel

        NANDカーネルを使用したAPLスタイルの密行列変換
        تحويل المصفوفة الكثيفة بأسلوب APL باستخدام نواة NAND
        """
        self._log("array_transform", {
            "input_shape": (len(matrix), len(matrix[0]) if matrix else 0),
            "配列形状": (len(matrix), len(matrix[0]) if matrix else 0),
            "شكل_المصفوفة": (len(matrix), len(matrix[0]) if matrix else 0)
        })

        # Transpose + NAND reduction (APL-inspired)
        rows, cols = len(matrix), len(matrix[0]) if matrix else 0
        result = []

        for i in range(rows):
            row_result = []
            for j in range(cols):
                # NAND-based cellular automaton step
                neighbors = []
                for di in [-1, 0, 1]:
                    for dj in [-1, 0, 1]:
                        ni, nj = i + di, j + dj
                        if 0 <= ni < rows and 0 <= nj < cols:
                            neighbors.append(matrix[ni][nj])

                # Reduce via NAND chain
                acc = neighbors[0] if neighbors else 0
                for n in neighbors[1:]:
                    acc = self.kernel.nand(acc, n)
                row_result.append(acc)
            result.append(row_result)

        self._log("transform_complete", {
            "output_hash": self._hash_state(result),
            "出力ハッシュ": self._hash_state(result),
            "هاش_الإخراج": self._hash_state(result)
        })

        return result

    def generate_proof_obligation(self, transformed: List[List[int]]) -> Dict:
        """
        Generate cryptographic proof obligation (Bifrost-style)

        暗号的証明義務を生成 (Bifrostスタイル)
        توليد التزام الإثبات التشفيري (أسلوب Bifrost)
        """
        self._log("proof_generation", {"phase": "obligation_creation"})

        # Flatten and hash
        flat = [v for row in transformed for v in row]
        artifact_hash = self._hash_state(flat)

        # Build proof structure
        proof = {
            "obligation_id": f"PO-{artifact_hash[:8]}",
            "schema_hash": "4b565498-9afc-4782-af4a-c6b11a5d0058",  # Saint Errant audit spec
            "rule_hash": self._hash_state(self.kernel.__dict__),
            "transform_hash": artifact_hash,
            "constraint_graph": {
                "nodes": ["🧠Input", "📚Memory", "🔍Retrieval", "⚙Transform",
                         "⚖Constraint", "🔐Proof", "🌐Output"],
                "edges": [
                    ["🧠Input", "📚Memory"],
                    ["📚Memory", "🔍Retrieval"],
                    ["🔍Retrieval", "⚙Transform"],
                    ["⚙Transform", "⚖Constraint"],
                    ["⚖Constraint", "🔐Proof"],
                    ["🔐Proof", "🌐Output"]
                ]
            },
            "validation_result": all(v == 0 or v == 1 for v in flat),
            "artifact_hash": artifact_hash,
            "証明義務ID": f"PO-{artifact_hash[:8]}",
            "التزام_الإثبات": f"PO-{artifact_hash[:8]}"
        }

        self.artifact_hashes.append(artifact_hash)
        self._log("proof_complete", proof)

        return proof