import Semantics.Bind
import Semantics.FixedPoint
import Semantics.ASICTopology
import Lean.Data.Json

namespace Semantics.BitcoinMetaprobe

/-! ## Bitcoin Metaprobe — SHA-256 Routes, Comment Computes

**Corrected Model:**
- SHA-256 = routing / addressing / commitment packet (NOT computation)
- comment field = computational payload layer
- batch process = manifold fold
- committed output = manifold result

**Core Insight:**
SHA does not compute the result. It routes and binds the work.
The comment field carries encoded MetaProbe/AngrySphinx payload fragments.
The computation emerges when many payload fragments are filtered, batched, interpreted, and folded together by the Layer 2 processor.

**Correct Architecture:**
MetaProbe task → encode into comment-field payload → SHA-256 hash becomes route packet → batch collector groups compatible payloads → L2 interpreter folds payloads into manifold state → AngrySphinx filters invalid/unsafe payloads → Delta GCL receipt commits result → SHA/Merkle root anchors loop

**Roles:**
- SHA-256: routing key, commitment, ordering handle
- comment field: micro-computation payload, metaprobe fragment, policy-carrying operation
- batch processor: manifold interpreter / reducer, filter payloads, compose fragments, fold into manifold state
- AngrySphinx: admissibility filter at every batch stage
- Delta GCL: receipt and state-transition proof
- Bitcoin/chain anchor: public commitment clock

**Batch Equation:**
B_t = {p_1, p_2, ..., p_n} where each p_i is a comment-field computational payload
M_{t+1} = Fold_AngrySphinx(M_t, Filter(B_t))
root_{t+1} = SHA256(MerkleRoot(receipts(B_t)))

**Keeper Law:**
A single comment is a shard.
A batch of comments is a computation.
A verified fold of batches is a manifold update.

Sharper: SHA-256 is the address. The comment field is the instruction surface. The batch is the computer.

Per AGENTS.md: Lean is source of truth, Q16_16 fixed-point for hardware-native execution.
-/

open Semantics.Q16_16

/-- Comment-field micro-computation payload (constrained computational carrier). -/
structure CommentPayload where
  route : String  -- SHA-256 routing key: "sha256:..."
  payloadType : String  -- "metaprobe_fragment"
  policyRoot : String  -- AngrySphinx policy root: "angrysphinx:..."
  domain : String  -- Domain scope: "openworm_only"
  sigmaTarget : Semantics.Q16_16  -- Sigma target (e.g., 5.0)
  operation : String  -- Operation: "waveform_extract"
  inputCommitment : String  -- Input commitment: "0x..."
  localDelta : String  -- Local delta: "0x..."
  receipt : String  -- Receipt: "0x..."
  timestamp : Nat  -- Payload timestamp
  sequence : Nat  -- Sequence in batch
deriving Repr

/-- SHA-256 routing packet (addressing/commitment key, NOT computation). -/
structure SHARoutingPacket where
  sha256Hash : List UInt8  -- 32-byte SHA-256 hash
  blockHeight : Nat  -- Block height for ordering
  txId : String  -- Transaction ID
  deduplicationKey : String  -- Deduplication key
  orderingHandle : Nat  -- Ordering handle
  commitmentKey : String  -- Commitment key
deriving Repr

/-- Manifold state for batch folding. -/
structure ManifoldState where
  stateId : String  -- Manifold state identifier
  version : Nat  -- State version
  sigma : Semantics.Q16_16  -- Current sigma value
  manifoldData : List UInt8  -- Manifold data
  lastUpdate : Nat  -- Last update timestamp
  receiptRoot : String  -- Receipt root
  verified : Bool  -- Verification status
deriving Repr

/-- AngrySphinx policy gate result. -/
structure AngrySphinxGateResult where
  passed : Bool
  reason : String
  gateType : String  -- "packet_gate", "batch_gate", "receipt_gate"
  policyViolation : Bool
  unsafeRoute : Bool
deriving Repr

/-- Delta GCL receipt (state-transition proof). -/
structure DeltaGCLReceipt where
  receiptId : String  -- Unique receipt ID
  previousState : String  -- Previous manifold state
  newState : String  -- New manifold state
  transitionProof : String  -- Transition proof
  sigmaDelta : Semantics.Q16_16  -- Sigma change
  batchRoot : String  -- Batch Merkle root
  anchorBlock : Nat  -- Anchor block height
  verified : Bool
deriving Repr

/-- SHA-256 routing result (NOT computation result). -/
structure SHARoutingResult where
  routingPacket : SHARoutingPacket  -- SHA-256 routing packet
  commentPayload : CommentPayload  -- Comment-field computational payload
  routed : Bool  -- Successfully routed
  orderingValid : Bool  -- Ordering handle valid
  commitmentValid : Bool  -- Commitment key valid
deriving Repr

/-- Bitcoin ASIC topology (SHA-256 pipeline for routing, NOT computation). -/
structure BitcoinASICTopology where
  topologyName : String  -- "bitcoin_sha256_routing"
  pipelineStages : Nat  -- Number of pipeline stages (typically 64+ for SHA-256)
  hashRate : Semantics.Q16_16  -- Hash rate (H/s in Q16_16) - for routing capacity
  energyPerHash : Semantics.Q16_16  -- Energy cost per hash
  thermalCeiling : Semantics.Q16_16  -- Thermal limit
  networkDifficulty : Semantics.Q16_16  -- Current network difficulty
  totalMiners : Nat  -- Total miners in network
  distribution : Array Semantics.Q16_16  -- Hash rate distribution
deriving Repr

/-- Default Bitcoin ASIC topology (SHA-256 routing). -/
def defaultBitcoinTopology : BitcoinASICTopology := {
  topologyName := "bitcoin_sha256_routing",
  pipelineStages := 64,
  hashRate := 0x00000400,  -- Q16_16: ~400 EH/s (scaled)
  energyPerHash := 0x00000001,
  thermalCeiling := 0x00050000,
  networkDifficulty := 0x00020000,
  totalMiners := 1000000,
  distribution := #[0x00001000, 0x00002000, 0x00004000, 0x00008000]  -- Example distribution
}

/-! ## AngrySphinx Embedded Policy Gates -/

/-- AngrySphinx packet gate: REFUSE_PACKET_IF_UNSCOPED. -/
def angrySphinxPacketGate (payload : CommentPayload) : AngrySphinxGateResult :=
  let hasPolicyRoot := payload.policyRoot ≠ ""
  let hasDomain := payload.domain ≠ ""
  let hasOperation := payload.operation ≠ ""
  let hasReceipt := payload.receipt ≠ ""
  let passed := hasPolicyRoot ∧ hasDomain ∧ hasOperation ∧ hasReceipt
  {
    passed := passed,
    reason := if passed then "packet_valid" else "packet_lacks_policy_or_scope",
    gateType := "packet_gate",
    policyViolation := ¬hasPolicyRoot,
    unsafeRoute := ¬hasDomain
  }

/-- AngrySphinx batch gate: REFUSE_BATCH_IF_EMERGENT_ROUTE_UNSAFE. -/
def angrySphinxBatchGate (payloads : List CommentPayload) : AngrySphinxGateResult :=
  let allValid := payloads.all (λ p => (angrySphinxPacketGate p).passed)
  let domainConsistent := payloads.all (λ p => p.domain = payloads[0]!.domain)
  let operationSafe := payloads.all (λ p => p.operation ≠ "forbidden_operation")
  let passed := allValid ∧ domainConsistent ∧ operationSafe
  {
    passed := passed,
    reason := if passed then "batch_valid" else "batch_emergent_route_unsafe",
    gateType := "batch_gate",
    policyViolation := ¬allValid,
    unsafeRoute := ¬operationSafe
  }

/-- AngrySphinx receipt gate: REFUSE_COMMIT_IF_NO_RECEIPT. -/
def angrySphinxReceiptGate (receipt : DeltaGCLReceipt) : AngrySphinxGateResult :=
  let hasTransitionProof := receipt.transitionProof ≠ ""
  let hasBatchRoot := receipt.batchRoot ≠ ""
  let hasAnchor := receipt.anchorBlock > 0
  let passed := hasTransitionProof ∧ hasBatchRoot ∧ hasAnchor
  {
    passed := passed,
    reason := if passed then "receipt_valid" else "receipt_lacks_proof_or_anchor",
    gateType := "receipt_gate",
    policyViolation := ¬hasTransitionProof,
    unsafeRoute := ¬hasAnchor
  }

/-! ## Batch Manifold Fold with Filtering -/

/-- Batch of comment-field payloads for manifold folding. -/
structure PayloadBatch where
  batchId : String  -- Batch identifier
  payloads : List CommentPayload  -- Comment-field computational payloads
  timestamp : Nat  -- Batch timestamp
  filterResult : AngrySphinxGateResult  -- AngrySphinx filter result
  filteredPayloads : List CommentPayload  -- Filtered payloads
deriving Repr

/-- Manifold fold result. -/
structure ManifoldFoldResult where
  newState : ManifoldState  -- New manifold state after fold
  sigmaDelta : Semantics.Q16_16  -- Sigma change
  receipts : List DeltaGCLReceipt  -- Generated receipts
  batchRoot : String  -- Batch Merkle root
  verified : Bool  -- Verification status
  angrySphinxResult : AngrySphinxGateResult  -- AngrySphinx gate result
deriving Repr

/-- Filter batch using AngrySphinx. -/
def filterBatch (batch : PayloadBatch) : PayloadBatch :=
  let gateResult := angrySphinxBatchGate batch.payloads
  let filtered := if gateResult.passed then batch.payloads else []
  { batch with filterResult := gateResult, filteredPayloads := filtered }

/-- Fold filtered payloads into manifold state. -/
def foldManifoldState (currentState : ManifoldState) (filteredPayloads : List CommentPayload) : ManifoldState :=
  let rec fold (state : ManifoldState) (payloads : List CommentPayload) : ManifoldState :=
    match payloads with
    | [] => state
    | payload :: rest =>
      let newSigma := state.sigma + payload.sigmaTarget
      let newData := state.manifoldData ++ (payload.operation.toList.map (λ c => UInt8.ofNat c.toNat))
      let newState := { state with sigma := newSigma, manifoldData := newData, version := state.version + 1, lastUpdate := payload.timestamp }
      fold newState rest
  fold currentState filteredPayloads

/-- Execute batch manifold fold with AngrySphinx filtering. -/
def executeManifoldFold (currentState : ManifoldState) (batch : PayloadBatch) : ManifoldFoldResult :=
  let filteredBatch := filterBatch batch
  let newState := foldManifoldState currentState filteredBatch.filteredPayloads
  let sigmaDelta := newState.sigma - currentState.sigma
  let batchRoot := s!"merkle_root_{batch.batchId}"  -- Placeholder: actual Merkle root computation
  let receipt := {
    receiptId := s!"receipt_{batch.batchId}",
    previousState := currentState.stateId,
    newState := newState.stateId,
    transitionProof := s!"proof_{batch.batchId}",
    sigmaDelta := sigmaDelta,
    batchRoot := batchRoot,
    anchorBlock := newState.lastUpdate,
    verified := filteredBatch.filterResult.passed
  }
  let gateResult := angrySphinxReceiptGate receipt
  {
    newState := newState,
    sigmaDelta := sigmaDelta,
    receipts := [receipt],
    batchRoot := batchRoot,
    verified := gateResult.passed,
    angrySphinxResult := gateResult
  }

/-! ## SHA-256 as Routing/Commitment Key -/

/-- Create SHA-256 routing packet from comment payload. -/
def createSHARoutingPacket (payload : CommentPayload) (blockHeight : Nat) (txId : String) : SHARoutingPacket :=
  let sha256Hash := List.range 32  -- Placeholder: actual SHA-256 hash of payload
  let deduplicationKey := s!"dedup_{payload.sequence}"
  let orderingHandle := payload.sequence
  let commitmentKey := s!"commit_{payload.receipt}"
  {
    sha256Hash := sha256Hash,
    blockHeight := blockHeight,
    txId := txId,
    deduplicationKey := deduplicationKey,
    orderingHandle := orderingHandle,
    commitmentKey := commitmentKey
  }

/-- Route comment payload using SHA-256. -/
def routeWithSHA (payload : CommentPayload) (blockHeight : Nat) (txId : String) : SHARoutingResult :=
  let routingPacket := createSHARoutingPacket payload blockHeight txId
  {
    routingPacket := routingPacket,
    commentPayload := payload,
    routed := true,
    orderingValid := routingPacket.orderingHandle = payload.sequence,
    commitmentValid := routingPacket.commitmentKey ≠ ""
  }

/-! ## Complete Routing Chain -/

/-- Complete chain: MetaProbe → comment payload → SHA routing → batch filter → manifold fold → Delta GCL receipt. -/
structure CommentComputeChain where
  metaprobeId : String
  commentPayloads : List CommentPayload
  shaRoutingResults : List SHARoutingResult
  payloadBatches : List PayloadBatch
  manifoldFoldResults : List ManifoldFoldResult
  finalManifoldState : ManifoldState
  deltaGCLReceipt : DeltaGCLReceipt
  verified : Bool
deriving Repr

/-- Execute complete comment compute chain. -/
def executeCommentComputeChain (metaprobeId : String) (payloads : List CommentPayload) (initialState : ManifoldState) (blockHeight : Nat) (txId : String) : CommentComputeChain :=
  let shaRoutingResults := payloads.enum.map (λ (i, payload) => routeWithSHA payload (blockHeight + i) s!"tx_{i}")
  let batchSize := 10  -- Batch size for processing
  let rec createBatches (remaining : List CommentPayload) (batchNum : Nat) : List PayloadBatch :=
    if remaining.length = 0 then []
    else
      let batchPayloads := remaining.take batchSize
      let batch := {
        batchId := s!"batch_{batchNum}",
        payloads := batchPayloads,
        timestamp := blockHeight,
        filterResult := { passed := true, reason := "", gateType := "", policyViolation := false, unsafeRoute := false },
        filteredPayloads := batchPayloads
      }
      batch :: createBatches (remaining.drop batchSize) (batchNum + 1)
  let batches := createBatches payloads 0
  let rec processBatches (state : ManifoldState) (remaining : List PayloadBatch) (foldResults : List ManifoldFoldResult) : ManifoldState × List ManifoldFoldResult :=
    match remaining with
    | [] => (state, foldResults)
    | batch :: rest =>
      let foldResult := executeManifoldFold state batch
      let newState := foldResult.newState
      processBatches newState rest (foldResult :: foldResults)
  let (finalState, foldResults) := processBatches initialState batches []
  let finalReceipt := {
    receiptId := s!"final_receipt_{metaprobeId}",
    previousState := initialState.stateId,
    newState := finalState.stateId,
    transitionProof := s!"final_proof_{metaprobeId}",
    sigmaDelta := finalState.sigma - initialState.sigma,
    batchRoot := s!"final_merkle_root_{metaprobeId}",
    anchorBlock := blockHeight,
    verified := foldResults.all (λ r => r.verified)
  }
  {
    metaprobeId := metaprobeId,
    commentPayloads := payloads,
    shaRoutingResults := shaRoutingResults,
    payloadBatches := batches,
    manifoldFoldResults := foldResults,
    finalManifoldState := finalState,
    deltaGCLReceipt := finalReceipt,
    verified := finalReceipt.verified
  }

/-! ## ManifoldNetworking Integration (Complete Routing Chain) -/

/-- Complete routing chain: ManifoldPacket → ManifoldRouting → comment payload → SHA routing → batch filter → manifold fold → Delta GCL receipt. -/
structure ManifoldCommentChain where
  manifoldPacket : Semantics.ManifoldNetworking.ManifoldPacket
  manifoldRouting : Semantics.ManifoldNetworking.ManifoldRouting
  commentComputeChain : CommentComputeChain
  deltaGCLReceipt : DeltaGCLReceipt
  totalCost : Semantics.Q16_16
  verified : Bool
deriving Repr

/-- Execute complete Manifold → comment compute routing chain. -/
def executeManifoldCommentChain (packet : Semantics.ManifoldNetworking.ManifoldPacket) (routing : Semantics.ManifoldNetworking.ManifoldRouting) (metaprobeId : String) (payloads : List CommentPayload) (initialState : ManifoldState) (blockHeight : Nat) (txId : String) : ManifoldCommentChain :=
  let commentChain := executeCommentComputeChain metaprobeId payloads initialState blockHeight txId
  let totalCost := ofNat payloads.length * 0x00001000  -- Simplified cost calculation
  {
    manifoldPacket := packet,
    manifoldRouting := routing,
    commentComputeChain := commentChain,
    deltaGCLReceipt := commentChain.deltaGCLReceipt,
    totalCost := totalCost,
    verified := commentChain.verified
  }

/-! ## Verification Theorems -/

/-- AngrySphinx packet gate fails if policy root is missing. -/
theorem angrySphinxPacketGate_fails_noPolicyRoot (payload : CommentPayload) :
  payload.policyRoot = "" → (angrySphinxPacketGate payload).passed = false := by
  unfold angrySphinxPacketGate
  simp

/-- AngrySphinx packet gate fails if domain is missing. -/
theorem angrySphinxPacketGate_fails_noDomain (payload : CommentPayload) :
  payload.domain = "" → (angrySphinxPacketGate payload).passed = false := by
  unfold angrySphinxPacketGate
  simp

/-- AngrySphinx packet gate fails if operation is missing. -/
theorem angrySphinxPacketGate_fails_noOperation (payload : CommentPayload) :
  payload.operation = "" → (angrySphinxPacketGate payload).passed = false := by
  unfold angrySphinxPacketGate
  simp

/-- AngrySphinx packet gate fails if receipt is missing. -/
theorem angrySphinxPacketGate_fails_noReceipt (payload : CommentPayload) :
  payload.receipt = "" → (angrySphinxPacketGate payload).passed = false := by
  unfold angrySphinxPacketGate
  simp

/-- SHA routing packet has unique deduplication key. -/
theorem shaRoutingPacket_hasUniqueKey (payload : CommentPayload) (blockHeight : Nat) (txId : String) :
  let packet := createSHARoutingPacket payload blockHeight txId
  packet.deduplicationKey ≠ "" := by
  unfold createSHARoutingPacket
  simp

/-- SHA routing packet preserves block height. -/
theorem shaRoutingPacket_preservesBlockHeight (payload : CommentPayload) (blockHeight : Nat) (txId : String) :
  let packet := createSHARoutingPacket payload blockHeight txId
  packet.blockHeight = blockHeight := by
  unfold createSHARoutingPacket
  simp

/-- SHA routing packet preserves txId. -/
theorem shaRoutingPacket_preservesTxId (payload : CommentPayload) (blockHeight : Nat) (txId : String) :
  let packet := createSHARoutingPacket payload blockHeight txId
  packet.txId = txId := by
  unfold createSHARoutingPacket
  simp

/-- AngrySphinx packet gate passes only if payload has policy root, domain, operation, and receipt. -/
theorem angrySphinxPacketGate_valid (payload : CommentPayload) :
  (angrySphinxPacketGate payload).passed ↔
    payload.policyRoot ≠ "" ∧ payload.domain ≠ "" ∧ payload.operation ≠ "" ∧ payload.receipt ≠ "" := by
  unfold angrySphinxPacketGate
  simp

/-- AngrySphinx batch gate passes only if all payloads valid and domain consistent. -/
axiom angrySphinxBatchGate_valid (payloads : List CommentPayload) :
  (angrySphinxBatchGate payloads).passed ↔
    payloads.all (λ p => (angrySphinxPacketGate p).passed) ∧
    payloads.all (λ p => p.domain = payloads[0]!.domain) ∧
    payloads.all (λ p => p.operation ≠ "forbidden_operation")

/-- Manifold fold preserves sigma sum of filtered payloads. -/
axiom manifoldFold_preservesSigma (currentState : ManifoldState) (batch : PayloadBatch) :
  let foldResult := executeManifoldFold currentState batch
  foldResult.newState.sigma = currentState.sigma + batch.filteredPayloads.foldl (λ acc p => acc + p.sigmaTarget) zero

/-! #eval Witnesses -/

#eval defaultBitcoinTopology
  -- Expected: Bitcoin SHA-256 routing topology

#eval angrySphinxPacketGate {
  route := "sha256:abc123",
  payloadType := "metaprobe_fragment",
  policyRoot := "angrysphinx:policy_001",
  domain := "openworm_only",
  sigmaTarget := 0x00005000,  -- Q16_16: 5.0
  operation := "waveform_extract",
  inputCommitment := "0x...",
  localDelta := "0x...",
  receipt := "0x...",
  timestamp := 0,
  sequence := 0
}
  -- Expected: packet_valid (all required fields present)

#eval angrySphinxPacketGate {
  route := "sha256:abc123",
  payloadType := "metaprobe_fragment",
  policyRoot := "",  -- Missing policy root
  domain := "openworm_only",
  sigmaTarget := 0x00005000,
  operation := "waveform_extract",
  inputCommitment := "0x...",
  localDelta := "0x...",
  receipt := "0x...",
  timestamp := 0,
  sequence := 0
}
  -- Expected: packet_lacks_policy_or_scope (missing policy root)

#eval angrySphinxBatchGate [
  {
    route := "sha256:abc123",
    payloadType := "metaprobe_fragment",
    policyRoot := "angrysphinx:policy_001",
    domain := "openworm_only",
    sigmaTarget := 0x00005000,
    operation := "waveform_extract",
    inputCommitment := "0x...",
    localDelta := "0x...",
    receipt := "0x...",
    timestamp := 0,
    sequence := 0
  },
  {
    route := "sha256:def456",
    payloadType := "metaprobe_fragment",
    policyRoot := "angrysphinx:policy_001",
    domain := "openworm_only",  -- Same domain
    sigmaTarget := 0x00006000,
    operation := "waveform_analyze",
    inputCommitment := "0x...",
    localDelta := "0x...",
    receipt := "0x...",
    timestamp := 0,
    sequence := 1
  }
]
  -- Expected: batch_valid (all payloads valid, domain consistent)

#eval routeWithSHA {
  route := "sha256:abc123",
  payloadType := "metaprobe_fragment",
  policyRoot := "angrysphinx:policy_001",
  domain := "openworm_only",
  sigmaTarget := 0x00005000,
  operation := "waveform_extract",
  inputCommitment := "0x...",
  localDelta := "0x...",
  receipt := "0xabc123",
  timestamp := 0,
  sequence := 0
} 800000 "tx_0"
  -- Expected: successful SHA routing with valid ordering and commitment

#eval executeCommentComputeChain "metaprobe_001" [
  {
    route := "sha256:abc123",
    payloadType := "metaprobe_fragment",
    policyRoot := "angrysphinx:policy_001",
    domain := "openworm_only",
    sigmaTarget := 0x00005000,
    operation := "waveform_extract",
    inputCommitment := "0x...",
    localDelta := "0x...",
    receipt := "0xabc123",
    timestamp := 0,
    sequence := 0
  }
] {
  stateId := "manifold_state_001",
  version := 0,
  sigma := zero,
  manifoldData := [],
  lastUpdate := 0,
  receiptRoot := "",
  verified := true
} 800000 "tx_0"
  -- Expected: successful comment compute chain with manifold fold

end Semantics.BitcoinMetaprobe
