beacon/light: request finality update explicitly when necessary (#29567)

This PR adds an extra mechanism to sync.HeadSync that tries to retrieve the latest finality update from every server each time it sends an optimistic update in a new epoch (unless we already have a validated finality update attested in the same epoch). 

Note that this is not necessary and does not happen if the new finality update is delivered before the optimistic update. The spec only mandates light_client_finality_update events when a new epoch is finalized. If the chain does not finalize for a while then we might need an explicit request that returns a finality proof that proves the same finality epoch from the latest attested epoch.

beacon/blsync/block_sync.go

@@ -41,7 +41,7 @@ type beaconBlockSync struct {
 
 type headTracker interface {
 	PrefetchHead() types.HeadInfo
-	ValidatedHead() (types.SignedHeader, bool)
+	ValidatedOptimistic() (types.OptimisticUpdate, bool)
 	ValidatedFinality() (types.FinalityUpdate, bool)
 }
 
@@ -66,6 +66,7 @@ func (s *beaconBlockSync) Process(requester request.Requester, events []request.
 		case request.EvResponse, request.EvFail, request.EvTimeout:
 			sid, req, resp := event.RequestInfo()
 			blockRoot := common.Hash(req.(sync.ReqBeaconBlock))
+			log.Debug("Beacon block event", "type", event.Type.Name, "hash", blockRoot)
 			if resp != nil {
 				s.recentBlocks.Add(blockRoot, resp.(*types.BeaconBlock))
 			}
@@ -80,8 +81,8 @@ func (s *beaconBlockSync) Process(requester request.Requester, events []request.
 	}
 	s.updateEventFeed()
 	// request validated head block if unavailable and not yet requested
-	if vh, ok := s.headTracker.ValidatedHead(); ok {
+	if vh, ok := s.headTracker.ValidatedOptimistic(); ok {
-		s.tryRequestBlock(requester, vh.Header.Hash(), false)
+		s.tryRequestBlock(requester, vh.Attested.Hash(), false)
 	}
 	// request prefetch head if the given server has announced it
 	if prefetchHead := s.headTracker.PrefetchHead().BlockRoot; prefetchHead != (common.Hash{}) {
@@ -114,12 +115,12 @@ func blockHeadInfo(block *types.BeaconBlock) types.HeadInfo {
 }
 
 func (s *beaconBlockSync) updateEventFeed() {
-	head, ok := s.headTracker.ValidatedHead()
+	optimistic, ok := s.headTracker.ValidatedOptimistic()
 	if !ok {
 		return
 	}
 
-	validatedHead := head.Header.Hash()
+	validatedHead := optimistic.Attested.Hash()
 	headBlock, ok := s.recentBlocks.Get(validatedHead)
 	if !ok {
 		return
@@ -127,7 +128,7 @@ func (s *beaconBlockSync) updateEventFeed() {
 
 	var finalizedHash common.Hash
 	if finality, ok := s.headTracker.ValidatedFinality(); ok {
-		he := head.Header.Epoch()
+		he := optimistic.Attested.Epoch()
 		fe := finality.Attested.Header.Epoch()
 		switch {
 		case he == fe:
@@ -135,10 +136,9 @@ func (s *beaconBlockSync) updateEventFeed() {
 		case he < fe:
 			return
 		case he == fe+1:
-			parent, ok := s.recentBlocks.Get(head.Header.ParentRoot)
+			parent, ok := s.recentBlocks.Get(optimistic.Attested.ParentRoot)
 			if !ok || parent.Slot()/params.EpochLength == fe {
 				return // head is at first slot of next epoch, wait for finality update
-				//TODO: try to fetch finality update directly if subscription does not deliver
 			}
 		}
 	}
@@ -156,7 +156,7 @@ func (s *beaconBlockSync) updateEventFeed() {
 		return
 	}
 	s.chainHeadFeed.Send(types.ChainHeadEvent{
-		BeaconHead: head.Header,
+		BeaconHead: optimistic.Attested.Header,
 		Block:      execBlock,
 		Finalized:  finalizedHash,
 	})

beacon/blsync/block_sync_test.go

@@ -140,8 +140,12 @@ func (h *testHeadTracker) PrefetchHead() types.HeadInfo {
 	return h.prefetch
 }
 
-func (h *testHeadTracker) ValidatedHead() (types.SignedHeader, bool) {
+func (h *testHeadTracker) ValidatedOptimistic() (types.OptimisticUpdate, bool) {
-	return h.validated, h.validated.Header != (types.Header{})
+	return types.OptimisticUpdate{
+		Attested:      types.HeaderWithExecProof{Header: h.validated.Header},
+		Signature:     h.validated.Signature,
+		SignatureSlot: h.validated.SignatureSlot,
+	}, h.validated.Header != (types.Header{})
 }
 
 // TODO add test case for finality

beacon/blsync/engineclient.go

@@ -62,6 +62,7 @@ func (ec *engineClient) updateLoop(headCh <-chan types.ChainHeadEvent) {
 	for {
 		select {
 		case <-ec.rootCtx.Done():
+			log.Debug("Stopping engine API update loop")
 			return
 
 		case event := <-headCh:
@@ -73,12 +74,14 @@ func (ec *engineClient) updateLoop(headCh <-chan types.ChainHeadEvent) {
 			fork := ec.config.ForkAtEpoch(event.BeaconHead.Epoch())
 			forkName := strings.ToLower(fork.Name)
 
+			log.Debug("Calling NewPayload", "number", event.Block.NumberU64(), "hash", event.Block.Hash())
 			if status, err := ec.callNewPayload(forkName, event); err == nil {
 				log.Info("Successful NewPayload", "number", event.Block.NumberU64(), "hash", event.Block.Hash(), "status", status)
 			} else {
 				log.Error("Failed NewPayload", "number", event.Block.NumberU64(), "hash", event.Block.Hash(), "error", err)
 			}
 
+			log.Debug("Calling ForkchoiceUpdated", "head", event.Block.Hash())
 			if status, err := ec.callForkchoiceUpdated(forkName, event); err == nil {
 				log.Info("Successful ForkchoiceUpdated", "head", event.Block.Hash(), "status", status)
 			} else {

beacon/light/api/api_server.go

@@ -46,13 +46,13 @@ func (s *ApiServer) Subscribe(eventCallback func(event request.Event)) {
 			log.Debug("New head received", "slot", slot, "blockRoot", blockRoot)
 			eventCallback(request.Event{Type: sync.EvNewHead, Data: types.HeadInfo{Slot: slot, BlockRoot: blockRoot}})
 		},
-		OnSignedHead: func(head types.SignedHeader) {
+		OnOptimistic: func(update types.OptimisticUpdate) {
-			log.Debug("New signed head received", "slot", head.Header.Slot, "blockRoot", head.Header.Hash(), "signerCount", head.Signature.SignerCount())
+			log.Debug("New optimistic update received", "slot", update.Attested.Slot, "blockRoot", update.Attested.Hash(), "signerCount", update.Signature.SignerCount())
-			eventCallback(request.Event{Type: sync.EvNewSignedHead, Data: head})
+			eventCallback(request.Event{Type: sync.EvNewOptimisticUpdate, Data: update})
 		},
-		OnFinality: func(head types.FinalityUpdate) {
+		OnFinality: func(update types.FinalityUpdate) {
-			log.Debug("New finality update received", "slot", head.Attested.Slot, "blockRoot", head.Attested.Hash(), "signerCount", head.Signature.SignerCount())
+			log.Debug("New finality update received", "slot", update.Attested.Slot, "blockRoot", update.Attested.Hash(), "signerCount", update.Signature.SignerCount())
-			eventCallback(request.Event{Type: sync.EvNewFinalityUpdate, Data: head})
+			eventCallback(request.Event{Type: sync.EvNewFinalityUpdate, Data: update})
 		},
 		OnError: func(err error) {
 			log.Warn("Head event stream error", "err", err)
@@ -83,6 +83,9 @@ func (s *ApiServer) SendRequest(id request.ID, req request.Request) {
 		case sync.ReqBeaconBlock:
 			log.Debug("Beacon API: requesting block", "reqid", id, "hash", common.Hash(data))
 			resp, err = s.api.GetBeaconBlock(common.Hash(data))
+		case sync.ReqFinality:
+			log.Debug("Beacon API: requesting finality update")
+			resp, err = s.api.GetFinalityUpdate()
 		default:
 		}
 
@@ -90,6 +93,7 @@ func (s *ApiServer) SendRequest(id request.ID, req request.Request) {
 			log.Warn("Beacon API request failed", "type", reflect.TypeOf(req), "reqid", id, "err", err)
 			s.eventCallback(request.Event{Type: request.EvFail, Data: request.RequestResponse{ID: id, Request: req}})
 		} else {
+			log.Debug("Beacon API request answered", "type", reflect.TypeOf(req), "reqid", id)
 			s.eventCallback(request.Event{Type: request.EvResponse, Data: request.RequestResponse{ID: id, Request: req, Response: resp}})
 		}
 	}()

beacon/light/api/light_api.go

@@ -32,6 +32,7 @@ import (
 	"github.com/ethereum/go-ethereum/beacon/types"
 	"github.com/ethereum/go-ethereum/common"
 	"github.com/ethereum/go-ethereum/common/hexutil"
+	"github.com/ethereum/go-ethereum/log"
 )
 
 var (
@@ -184,46 +185,56 @@ func (api *BeaconLightApi) GetBestUpdatesAndCommittees(firstPeriod, count uint64
 	return updates, committees, nil
 }
 
-// GetOptimisticHeadUpdate fetches a signed header based on the latest available
+// GetOptimisticUpdate fetches the latest available optimistic update.
-// optimistic update. Note that the signature should be verified by the caller
+// Note that the signature should be verified by the caller as its validity
-// as its validity depends on the update chain.
+// depends on the update chain.
 //
 // See data structure definition here:
 // https://github.com/ethereum/consensus-specs/blob/dev/specs/altair/light-client/sync-protocol.md#lightclientoptimisticupdate
-func (api *BeaconLightApi) GetOptimisticHeadUpdate() (types.SignedHeader, error) {
+func (api *BeaconLightApi) GetOptimisticUpdate() (types.OptimisticUpdate, error) {
 	resp, err := api.httpGet("/eth/v1/beacon/light_client/optimistic_update")
 	if err != nil {
-		return types.SignedHeader{}, err
+		return types.OptimisticUpdate{}, err
 	}
-	return decodeOptimisticHeadUpdate(resp)
+	return decodeOptimisticUpdate(resp)
 }
 
-func decodeOptimisticHeadUpdate(enc []byte) (types.SignedHeader, error) {
+func decodeOptimisticUpdate(enc []byte) (types.OptimisticUpdate, error) {
 	var data struct {
+		Version string
 		Data    struct {
-			Header        jsonBeaconHeader    `json:"attested_header"`
+			Attested      jsonHeaderWithExecProof `json:"attested_header"`
 			Aggregate     types.SyncAggregate     `json:"sync_aggregate"`
 			SignatureSlot common.Decimal          `json:"signature_slot"`
 		} `json:"data"`
 	}
 	if err := json.Unmarshal(enc, &data); err != nil {
-		return types.SignedHeader{}, err
+		return types.OptimisticUpdate{}, err
 	}
-	if data.Data.Header.Beacon.StateRoot == (common.Hash{}) {
+	// Decode the execution payload headers.
+	attestedExecHeader, err := types.ExecutionHeaderFromJSON(data.Version, data.Data.Attested.Execution)
+	if err != nil {
+		return types.OptimisticUpdate{}, fmt.Errorf("invalid attested header: %v", err)
+	}
+	if data.Data.Attested.Beacon.StateRoot == (common.Hash{}) {
 		// workaround for different event encoding format in Lodestar
 		if err := json.Unmarshal(enc, &data.Data); err != nil {
-			return types.SignedHeader{}, err
+			return types.OptimisticUpdate{}, err
 		}
 	}
 
 	if len(data.Data.Aggregate.Signers) != params.SyncCommitteeBitmaskSize {
-		return types.SignedHeader{}, errors.New("invalid sync_committee_bits length")
+		return types.OptimisticUpdate{}, errors.New("invalid sync_committee_bits length")
 	}
 	if len(data.Data.Aggregate.Signature) != params.BLSSignatureSize {
-		return types.SignedHeader{}, errors.New("invalid sync_committee_signature length")
+		return types.OptimisticUpdate{}, errors.New("invalid sync_committee_signature length")
 	}
-	return types.SignedHeader{
+	return types.OptimisticUpdate{
-		Header:        data.Data.Header.Beacon,
+		Attested: types.HeaderWithExecProof{
+			Header:        data.Data.Attested.Beacon,
+			PayloadHeader: attestedExecHeader,
+			PayloadBranch: data.Data.Attested.ExecutionBranch,
+		},
 		Signature:     data.Data.Aggregate,
 		SignatureSlot: uint64(data.Data.SignatureSlot),
 	}, nil
@@ -411,7 +422,7 @@ func decodeHeadEvent(enc []byte) (uint64, common.Hash, error) {
 
 type HeadEventListener struct {
 	OnNewHead    func(slot uint64, blockRoot common.Hash)
-	OnSignedHead func(head types.SignedHeader)
+	OnOptimistic func(head types.OptimisticUpdate)
 	OnFinality   func(head types.FinalityUpdate)
 	OnError      func(err error)
 }
@@ -449,21 +460,35 @@ func (api *BeaconLightApi) StartHeadListener(listener HeadEventListener) func()
 		defer wg.Done()
 
 		// Request initial data.
+		log.Trace("Requesting initial head header")
 		if head, _, _, err := api.GetHeader(common.Hash{}); err == nil {
+			log.Trace("Retrieved initial head header", "slot", head.Slot, "hash", head.Hash())
 			listener.OnNewHead(head.Slot, head.Hash())
+		} else {
+			log.Debug("Failed to retrieve initial head header", "error", err)
 		}
-		if signedHead, err := api.GetOptimisticHeadUpdate(); err == nil {
+		log.Trace("Requesting initial optimistic update")
-			listener.OnSignedHead(signedHead)
+		if optimisticUpdate, err := api.GetOptimisticUpdate(); err == nil {
+			log.Trace("Retrieved initial optimistic update", "slot", optimisticUpdate.Attested.Slot, "hash", optimisticUpdate.Attested.Hash())
+			listener.OnOptimistic(optimisticUpdate)
+		} else {
+			log.Debug("Failed to retrieve initial optimistic update", "error", err)
 		}
+		log.Trace("Requesting initial finality update")
 		if finalityUpdate, err := api.GetFinalityUpdate(); err == nil {
+			log.Trace("Retrieved initial finality update", "slot", finalityUpdate.Finalized.Slot, "hash", finalityUpdate.Finalized.Hash())
 			listener.OnFinality(finalityUpdate)
+		} else {
+			log.Debug("Failed to retrieve initial finality update", "error", err)
 		}
 
+		log.Trace("Starting event stream processing loop")
 		// Receive the stream.
 		var stream *eventsource.Stream
 		select {
 		case stream = <-streamCh:
 		case <-ctx.Done():
+			log.Trace("Stopping event stream processing loop")
 			return
 		}
 
@@ -474,8 +499,10 @@ func (api *BeaconLightApi) StartHeadListener(listener HeadEventListener) func()
 
 			case event, ok := <-stream.Events:
 				if !ok {
+					log.Trace("Event stream closed")
 					return
 				}
+				log.Trace("New event received from event stream", "type", event.Event())
 				switch event.Event() {
 				case "head":
 					slot, blockRoot, err := decodeHeadEvent([]byte(event.Data()))
@@ -485,9 +512,9 @@ func (api *BeaconLightApi) StartHeadListener(listener HeadEventListener) func()
 						listener.OnError(fmt.Errorf("error decoding head event: %v", err))
 					}
 				case "light_client_optimistic_update":
-					signedHead, err := decodeOptimisticHeadUpdate([]byte(event.Data()))
+					optimisticUpdate, err := decodeOptimisticUpdate([]byte(event.Data()))
 					if err == nil {
-						listener.OnSignedHead(signedHead)
+						listener.OnOptimistic(optimisticUpdate)
 					} else {
 						listener.OnError(fmt.Errorf("error decoding optimistic update event: %v", err))
 					}
@@ -521,7 +548,8 @@ func (api *BeaconLightApi) StartHeadListener(listener HeadEventListener) func()
 // established. It can only return nil when the context is canceled.
 func (api *BeaconLightApi) startEventStream(ctx context.Context, listener *HeadEventListener) *eventsource.Stream {
 	for retry := true; retry; retry = ctxSleep(ctx, 5*time.Second) {
-		path := "/eth/v1/events?topics=head&topics=light_client_optimistic_update&topics=light_client_finality_update"
+		path := "/eth/v1/events?topics=head&topics=light_client_finality_update&topics=light_client_optimistic_update"
+		log.Trace("Sending event subscription request")
 		req, err := http.NewRequestWithContext(ctx, "GET", api.url+path, nil)
 		if err != nil {
 			listener.OnError(fmt.Errorf("error creating event subscription request: %v", err))
@@ -535,6 +563,7 @@ func (api *BeaconLightApi) startEventStream(ctx context.Context, listener *HeadE
 			listener.OnError(fmt.Errorf("error creating event subscription: %v", err))
 			continue
 		}
+		log.Trace("Successfully created event stream")
 		return stream
 	}
 	return nil

beacon/light/head_tracker.go

@@ -32,8 +32,8 @@ type HeadTracker struct {
 	lock                sync.RWMutex
 	committeeChain      *CommitteeChain
 	minSignerCount      int
-	signedHead        types.SignedHeader
+	optimisticUpdate    types.OptimisticUpdate
-	hasSignedHead     bool
+	hasOptimisticUpdate bool
 	finalityUpdate      types.FinalityUpdate
 	hasFinalityUpdate   bool
 	prefetchHead        types.HeadInfo
@@ -48,15 +48,15 @@ func NewHeadTracker(committeeChain *CommitteeChain, minSignerCount int) *HeadTra
 	}
 }
 
-// ValidatedHead returns the latest validated head.
+// ValidatedOptimistic returns the latest validated optimistic update.
-func (h *HeadTracker) ValidatedHead() (types.SignedHeader, bool) {
+func (h *HeadTracker) ValidatedOptimistic() (types.OptimisticUpdate, bool) {
 	h.lock.RLock()
 	defer h.lock.RUnlock()
 
-	return h.signedHead, h.hasSignedHead
+	return h.optimisticUpdate, h.hasOptimisticUpdate
 }
 
-// ValidatedFinality returns the latest validated finality.
+// ValidatedFinality returns the latest validated finality update.
 func (h *HeadTracker) ValidatedFinality() (types.FinalityUpdate, bool) {
 	h.lock.RLock()
 	defer h.lock.RUnlock()
@@ -64,26 +64,36 @@ func (h *HeadTracker) ValidatedFinality() (types.FinalityUpdate, bool) {
 	return h.finalityUpdate, h.hasFinalityUpdate
 }
 
-// ValidateHead validates the given signed head. If the head is successfully validated
+// ValidateOptimistic validates the given optimistic update. If the update is
-// and it is better than the old validated head (higher slot or same slot and more
+// successfully validated and it is better than the old validated update (higher
-// signers) then ValidatedHead is updated. The boolean return flag signals if
+// slot or same slot and more signers) then ValidatedOptimistic is updated.
-// ValidatedHead has been changed.
+// The boolean return flag signals if ValidatedOptimistic has been changed.
-func (h *HeadTracker) ValidateHead(head types.SignedHeader) (bool, error) {
+func (h *HeadTracker) ValidateOptimistic(update types.OptimisticUpdate) (bool, error) {
 	h.lock.Lock()
 	defer h.lock.Unlock()
 
-	replace, err := h.validate(head, h.signedHead)
+	if err := update.Validate(); err != nil {
+		return false, err
+	}
+	replace, err := h.validate(update.SignedHeader(), h.optimisticUpdate.SignedHeader())
 	if replace {
-		h.signedHead, h.hasSignedHead = head, true
+		h.optimisticUpdate, h.hasOptimisticUpdate = update, true
 		h.changeCounter++
 	}
 	return replace, err
 }
 
+// ValidateFinality validates the given finality update. If the update is
+// successfully validated and it is better than the old validated update (higher
+// slot or same slot and more signers) then ValidatedFinality is updated.
+// The boolean return flag signals if ValidatedFinality has been changed.
 func (h *HeadTracker) ValidateFinality(update types.FinalityUpdate) (bool, error) {
 	h.lock.Lock()
 	defer h.lock.Unlock()
 
+	if err := update.Validate(); err != nil {
+		return false, err
+	}
 	replace, err := h.validate(update.SignedHeader(), h.finalityUpdate.SignedHeader())
 	if replace {
 		h.finalityUpdate, h.hasFinalityUpdate = update, true
@@ -142,6 +152,7 @@ func (h *HeadTracker) SetPrefetchHead(head types.HeadInfo) {
 	h.changeCounter++
 }
 
+// ChangeCounter implements request.targetData
 func (h *HeadTracker) ChangeCounter() uint64 {
 	h.lock.RLock()
 	defer h.lock.RUnlock()

beacon/light/sync/head_sync.go

@@ -19,11 +19,13 @@ package sync
 import (
 	"github.com/ethereum/go-ethereum/beacon/light/request"
 	"github.com/ethereum/go-ethereum/beacon/types"
+	"github.com/ethereum/go-ethereum/log"
 )
 
 type headTracker interface {
-	ValidateHead(head types.SignedHeader) (bool, error)
+	ValidateOptimistic(update types.OptimisticUpdate) (bool, error)
 	ValidateFinality(head types.FinalityUpdate) (bool, error)
+	ValidatedFinality() (types.FinalityUpdate, bool)
 	SetPrefetchHead(head types.HeadInfo)
 }
 
@@ -37,9 +39,10 @@ type HeadSync struct {
 	chain                 committeeChain
 	nextSyncPeriod        uint64
 	chainInit             bool
-	unvalidatedHeads    map[request.Server]types.SignedHeader
+	unvalidatedOptimistic map[request.Server]types.OptimisticUpdate
 	unvalidatedFinality   map[request.Server]types.FinalityUpdate
 	serverHeads           map[request.Server]types.HeadInfo
+	reqFinalityEpoch      map[request.Server]uint64 // next epoch to request finality update
 	headServerCount       map[types.HeadInfo]headServerCount
 	headCounter           uint64
 	prefetchHead          types.HeadInfo
@@ -59,73 +62,96 @@ func NewHeadSync(headTracker headTracker, chain committeeChain) *HeadSync {
 	s := &HeadSync{
 		headTracker:           headTracker,
 		chain:                 chain,
-		unvalidatedHeads:    make(map[request.Server]types.SignedHeader),
+		unvalidatedOptimistic: make(map[request.Server]types.OptimisticUpdate),
 		unvalidatedFinality:   make(map[request.Server]types.FinalityUpdate),
 		serverHeads:           make(map[request.Server]types.HeadInfo),
 		headServerCount:       make(map[types.HeadInfo]headServerCount),
+		reqFinalityEpoch:      make(map[request.Server]uint64),
 	}
 	return s
 }
 
 // Process implements request.Module.
 func (s *HeadSync) Process(requester request.Requester, events []request.Event) {
+	nextPeriod, chainInit := s.chain.NextSyncPeriod()
+	if nextPeriod != s.nextSyncPeriod || chainInit != s.chainInit {
+		s.nextSyncPeriod, s.chainInit = nextPeriod, chainInit
+		s.processUnvalidatedUpdates()
+	}
+
 	for _, event := range events {
 		switch event.Type {
 		case EvNewHead:
 			s.setServerHead(event.Server, event.Data.(types.HeadInfo))
-		case EvNewSignedHead:
+		case EvNewOptimisticUpdate:
-			s.newSignedHead(event.Server, event.Data.(types.SignedHeader))
+			update := event.Data.(types.OptimisticUpdate)
+			s.newOptimisticUpdate(event.Server, update)
+			epoch := update.Attested.Epoch()
+			if epoch < s.reqFinalityEpoch[event.Server] {
+				continue
+			}
+			if finality, ok := s.headTracker.ValidatedFinality(); ok && finality.Attested.Header.Epoch() >= epoch {
+				continue
+			}
+			requester.Send(event.Server, ReqFinality{})
+			s.reqFinalityEpoch[event.Server] = epoch + 1
 		case EvNewFinalityUpdate:
 			s.newFinalityUpdate(event.Server, event.Data.(types.FinalityUpdate))
+		case request.EvResponse:
+			_, _, resp := event.RequestInfo()
+			s.newFinalityUpdate(event.Server, resp.(types.FinalityUpdate))
 		case request.EvUnregistered:
 			s.setServerHead(event.Server, types.HeadInfo{})
 			delete(s.serverHeads, event.Server)
-			delete(s.unvalidatedHeads, event.Server)
+			delete(s.unvalidatedOptimistic, event.Server)
+			delete(s.unvalidatedFinality, event.Server)
 		}
 	}
-
-	nextPeriod, chainInit := s.chain.NextSyncPeriod()
-	if nextPeriod != s.nextSyncPeriod || chainInit != s.chainInit {
-		s.nextSyncPeriod, s.chainInit = nextPeriod, chainInit
-		s.processUnvalidated()
-	}
 }
 
-// newSignedHead handles received signed head; either validates it if the chain
+// newOptimisticUpdate handles received optimistic update; either validates it if
-// is properly synced or stores it for further validation.
+// the chain is properly synced or stores it for further validation.
-func (s *HeadSync) newSignedHead(server request.Server, signedHead types.SignedHeader) {
+func (s *HeadSync) newOptimisticUpdate(server request.Server, optimisticUpdate types.OptimisticUpdate) {
-	if !s.chainInit || types.SyncPeriod(signedHead.SignatureSlot) > s.nextSyncPeriod {
+	if !s.chainInit || types.SyncPeriod(optimisticUpdate.SignatureSlot) > s.nextSyncPeriod {
-		s.unvalidatedHeads[server] = signedHead
+		s.unvalidatedOptimistic[server] = optimisticUpdate
 		return
 	}
-	s.headTracker.ValidateHead(signedHead)
+	if _, err := s.headTracker.ValidateOptimistic(optimisticUpdate); err != nil {
+		log.Debug("Error validating optimistic update", "error", err)
+	}
 }
 
-// newFinalityUpdate handles received finality update; either validates it if the chain
+// newFinalityUpdate handles received finality update; either validates it if
-// is properly synced or stores it for further validation.
+// the chain is properly synced or stores it for further validation.
 func (s *HeadSync) newFinalityUpdate(server request.Server, finalityUpdate types.FinalityUpdate) {
 	if !s.chainInit || types.SyncPeriod(finalityUpdate.SignatureSlot) > s.nextSyncPeriod {
 		s.unvalidatedFinality[server] = finalityUpdate
 		return
 	}
-	s.headTracker.ValidateFinality(finalityUpdate)
+	if _, err := s.headTracker.ValidateFinality(finalityUpdate); err != nil {
+		log.Debug("Error validating finality update", "error", err)
+	}
 }
 
-// processUnvalidated iterates the list of unvalidated heads and validates
+// processUnvalidatedUpdates iterates the list of unvalidated updates and validates
 // those which can be validated.
-func (s *HeadSync) processUnvalidated() {
+func (s *HeadSync) processUnvalidatedUpdates() {
 	if !s.chainInit {
 		return
 	}
-	for server, signedHead := range s.unvalidatedHeads {
+	for server, optimisticUpdate := range s.unvalidatedOptimistic {
-		if types.SyncPeriod(signedHead.SignatureSlot) <= s.nextSyncPeriod {
+		if types.SyncPeriod(optimisticUpdate.SignatureSlot) <= s.nextSyncPeriod {
-			s.headTracker.ValidateHead(signedHead)
+			if _, err := s.headTracker.ValidateOptimistic(optimisticUpdate); err != nil {
-			delete(s.unvalidatedHeads, server)
+				log.Debug("Error validating deferred optimistic update", "error", err)
+			}
+			delete(s.unvalidatedOptimistic, server)
 		}
 	}
 	for server, finalityUpdate := range s.unvalidatedFinality {
 		if types.SyncPeriod(finalityUpdate.SignatureSlot) <= s.nextSyncPeriod {
-			s.headTracker.ValidateFinality(finalityUpdate)
+			if _, err := s.headTracker.ValidateFinality(finalityUpdate); err != nil {
+				log.Debug("Error validating deferred finality update", "error", err)
+			}
 			delete(s.unvalidatedFinality, server)
 		}
 	}

beacon/light/sync/head_sync_test.go

@@ -19,6 +19,7 @@ package sync
 import (
 	"testing"
 
+	"github.com/ethereum/go-ethereum/beacon/light/request"
 	"github.com/ethereum/go-ethereum/beacon/types"
 	"github.com/ethereum/go-ethereum/common"
 )
@@ -28,6 +29,7 @@ var (
 	testServer2 = testServer("testServer2")
 	testServer3 = testServer("testServer3")
 	testServer4 = testServer("testServer4")
+	testServer5 = testServer("testServer5")
 
 	testHead0 = types.HeadInfo{}
 	testHead1 = types.HeadInfo{Slot: 123, BlockRoot: common.Hash{1}}
@@ -35,13 +37,21 @@ var (
 	testHead3 = types.HeadInfo{Slot: 124, BlockRoot: common.Hash{3}}
 	testHead4 = types.HeadInfo{Slot: 125, BlockRoot: common.Hash{4}}
 
-	testSHead1 = types.SignedHeader{SignatureSlot: 0x0124, Header: types.Header{Slot: 0x0123, StateRoot: common.Hash{1}}}
+	testOptUpdate1 = types.OptimisticUpdate{SignatureSlot: 0x0124, Attested: types.HeaderWithExecProof{Header: types.Header{Slot: 0x0123, StateRoot: common.Hash{1}}}}
-	testSHead2 = types.SignedHeader{SignatureSlot: 0x2010, Header: types.Header{Slot: 0x200e, StateRoot: common.Hash{2}}}
+	testOptUpdate2 = types.OptimisticUpdate{SignatureSlot: 0x2010, Attested: types.HeaderWithExecProof{Header: types.Header{Slot: 0x200e, StateRoot: common.Hash{2}}}}
-	// testSHead3 is at the end of period 1 but signed in period 2
+	// testOptUpdate3 is at the end of period 1 but signed in period 2
-	testSHead3 = types.SignedHeader{SignatureSlot: 0x4000, Header: types.Header{Slot: 0x3fff, StateRoot: common.Hash{3}}}
+	testOptUpdate3 = types.OptimisticUpdate{SignatureSlot: 0x4000, Attested: types.HeaderWithExecProof{Header: types.Header{Slot: 0x3fff, StateRoot: common.Hash{3}}}}
-	testSHead4 = types.SignedHeader{SignatureSlot: 0x6444, Header: types.Header{Slot: 0x6443, StateRoot: common.Hash{4}}}
+	testOptUpdate4 = types.OptimisticUpdate{SignatureSlot: 0x6444, Attested: types.HeaderWithExecProof{Header: types.Header{Slot: 0x6443, StateRoot: common.Hash{4}}}}
 )
 
+func finality(opt types.OptimisticUpdate) types.FinalityUpdate {
+	return types.FinalityUpdate{
+		SignatureSlot: opt.SignatureSlot,
+		Attested:      opt.Attested,
+		Finalized:     types.HeaderWithExecProof{Header: types.Header{Slot: (opt.Attested.Header.Slot - 64) & uint64(0xffffffffffffffe0)}},
+	}
+}
+
 type testServer string
 
 func (t testServer) Name() string {
@@ -57,50 +67,66 @@ func TestValidatedHead(t *testing.T) {
 	ht.ExpValidated(t, 0, nil)
 
 	ts.AddServer(testServer1, 1)
-	ts.ServerEvent(EvNewSignedHead, testServer1, testSHead1)
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer1, testOptUpdate1)
-	ts.Run(1)
+	ts.Run(1, testServer1, ReqFinality{})
 	// announced head should be queued because of uninitialized chain
 	ht.ExpValidated(t, 1, nil)
 
 	chain.SetNextSyncPeriod(0) // initialize chain
 	ts.Run(2)
 	// expect previously queued head to be validated
-	ht.ExpValidated(t, 2, []types.SignedHeader{testSHead1})
+	ht.ExpValidated(t, 2, []types.OptimisticUpdate{testOptUpdate1})
 
 	chain.SetNextSyncPeriod(1)
-	ts.ServerEvent(EvNewSignedHead, testServer1, testSHead2)
+	ts.ServerEvent(EvNewFinalityUpdate, testServer1, finality(testOptUpdate2))
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer1, testOptUpdate2)
 	ts.AddServer(testServer2, 1)
-	ts.ServerEvent(EvNewSignedHead, testServer2, testSHead2)
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer2, testOptUpdate2)
 	ts.Run(3)
 	// expect both head announcements to be validated instantly
-	ht.ExpValidated(t, 3, []types.SignedHeader{testSHead2, testSHead2})
+	ht.ExpValidated(t, 3, []types.OptimisticUpdate{testOptUpdate2, testOptUpdate2})
 
-	ts.ServerEvent(EvNewSignedHead, testServer1, testSHead3)
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer1, testOptUpdate3)
 	ts.AddServer(testServer3, 1)
-	ts.ServerEvent(EvNewSignedHead, testServer3, testSHead4)
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer3, testOptUpdate4)
-	ts.Run(4)
+	// finality should be requested from both servers
-	// future period announced heads should be queued
+	ts.Run(4, testServer1, ReqFinality{}, testServer3, ReqFinality{})
+	// future period annonced heads should be queued
 	ht.ExpValidated(t, 4, nil)
 
 	chain.SetNextSyncPeriod(2)
 	ts.Run(5)
-	// testSHead3 can be validated now but not testSHead4
+	// testOptUpdate3 can be validated now but not testOptUpdate4
-	ht.ExpValidated(t, 5, []types.SignedHeader{testSHead3})
+	ht.ExpValidated(t, 5, []types.OptimisticUpdate{testOptUpdate3})
+
+	ts.AddServer(testServer4, 1)
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer4, testOptUpdate3)
+	// new server joined with recent optimistic update but still no finality; should be requested
+	ts.Run(6, testServer4, ReqFinality{})
+	ht.ExpValidated(t, 6, []types.OptimisticUpdate{testOptUpdate3})
+
+	ts.AddServer(testServer5, 1)
+	ts.RequestEvent(request.EvResponse, ts.Request(6, 1), finality(testOptUpdate3))
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer5, testOptUpdate3)
+	// finality update request answered; new server should not be requested
+	ts.Run(7)
+	ht.ExpValidated(t, 7, []types.OptimisticUpdate{testOptUpdate3})
 
 	// server 3 disconnected without proving period 3, its announced head should be dropped
 	ts.RemoveServer(testServer3)
-	ts.Run(6)
+	ts.Run(8)
-	ht.ExpValidated(t, 6, nil)
+	ht.ExpValidated(t, 8, nil)
 
 	chain.SetNextSyncPeriod(3)
-	ts.Run(7)
+	ts.Run(9)
-	// testSHead4 could be validated now but it's not queued by any registered server
+	// testOptUpdate4 could be validated now but it's not queued by any registered server
-	ht.ExpValidated(t, 7, nil)
+	ht.ExpValidated(t, 9, nil)
 
-	ts.ServerEvent(EvNewSignedHead, testServer2, testSHead4)
+	ts.ServerEvent(EvNewFinalityUpdate, testServer2, finality(testOptUpdate4))
-	ts.Run(8)
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer2, testOptUpdate4)
-	// now testSHead4 should be validated
+	ts.Run(10)
-	ht.ExpValidated(t, 8, []types.SignedHeader{testSHead4})
+	// now testOptUpdate4 should be validated
+	ht.ExpValidated(t, 10, []types.OptimisticUpdate{testOptUpdate4})
 }
 
 func TestPrefetchHead(t *testing.T) {

beacon/light/sync/test_helpers.go

@@ -212,32 +212,37 @@ func (tc *TestCommitteeChain) ExpNextSyncPeriod(t *testing.T, expNsp uint64) {
 
 type TestHeadTracker struct {
 	phead     types.HeadInfo
-	validated []types.SignedHeader
+	validated []types.OptimisticUpdate
+	finality  types.FinalityUpdate
 }
 
-func (ht *TestHeadTracker) ValidateHead(head types.SignedHeader) (bool, error) {
+func (ht *TestHeadTracker) ValidateOptimistic(update types.OptimisticUpdate) (bool, error) {
-	ht.validated = append(ht.validated, head)
+	ht.validated = append(ht.validated, update)
 	return true, nil
 }
 
-// TODO add test case for finality
+func (ht *TestHeadTracker) ValidateFinality(update types.FinalityUpdate) (bool, error) {
-func (ht *TestHeadTracker) ValidateFinality(head types.FinalityUpdate) (bool, error) {
+	ht.finality = update
 	return true, nil
 }
 
-func (ht *TestHeadTracker) ExpValidated(t *testing.T, tci int, expHeads []types.SignedHeader) {
+func (ht *TestHeadTracker) ValidatedFinality() (types.FinalityUpdate, bool) {
+	return ht.finality, ht.finality.Attested.Header != (types.Header{})
+}
+
+func (ht *TestHeadTracker) ExpValidated(t *testing.T, tci int, expHeads []types.OptimisticUpdate) {
 	for i, expHead := range expHeads {
 		if i >= len(ht.validated) {
-			t.Errorf("Missing validated head in test case #%d index #%d (expected {slot %d blockRoot %x}, got none)", tci, i, expHead.Header.Slot, expHead.Header.Hash())
+			t.Errorf("Missing validated head in test case #%d index #%d (expected {slot %d blockRoot %x}, got none)", tci, i, expHead.Attested.Header.Slot, expHead.Attested.Header.Hash())
 			continue
 		}
-		if ht.validated[i] != expHead {
+		if !reflect.DeepEqual(ht.validated[i], expHead) {
-			vhead := ht.validated[i].Header
+			vhead := ht.validated[i].Attested.Header
-			t.Errorf("Wrong validated head in test case #%d index #%d (expected {slot %d blockRoot %x}, got {slot %d blockRoot %x})", tci, i, expHead.Header.Slot, expHead.Header.Hash(), vhead.Slot, vhead.Hash())
+			t.Errorf("Wrong validated head in test case #%d index #%d (expected {slot %d blockRoot %x}, got {slot %d blockRoot %x})", tci, i, expHead.Attested.Header.Slot, expHead.Attested.Header.Hash(), vhead.Slot, vhead.Hash())
 		}
 	}
 	for i := len(expHeads); i < len(ht.validated); i++ {
-		vhead := ht.validated[i].Header
+		vhead := ht.validated[i].Attested.Header
 		t.Errorf("Unexpected validated head in test case #%d index #%d (expected none, got {slot %d blockRoot %x})", tci, i, vhead.Slot, vhead.Hash())
 	}
 	ht.validated = nil

beacon/light/sync/types.go

@@ -24,7 +24,7 @@ import (
 
 var (
 	EvNewHead             = &request.EventType{Name: "newHead"}             // data: types.HeadInfo
-	EvNewSignedHead     = &request.EventType{Name: "newSignedHead"}     // data: types.SignedHeader
+	EvNewOptimisticUpdate = &request.EventType{Name: "newOptimisticUpdate"} // data: types.OptimisticUpdate
 	EvNewFinalityUpdate   = &request.EventType{Name: "newFinalityUpdate"}   // data: types.FinalityUpdate
 )
 
@@ -43,4 +43,5 @@ type (
 	}
 	ReqCheckpointData common.Hash
 	ReqBeaconBlock    common.Hash
+	ReqFinality       struct{}
 )

beacon/light/sync/update_sync.go

@@ -84,6 +84,7 @@ func (s *CheckpointInit) Process(requester request.Requester, events []request.E
 	if s.initialized {
 		return
 	}
+
 	for _, event := range events {
 		switch event.Type {
 		case request.EvResponse, request.EvFail, request.EvTimeout:
@@ -132,10 +133,12 @@ func (s *CheckpointInit) Process(requester request.Requester, events []request.E
 				newState.state = ssPrintStatus
 				s.serverState[sid.Server] = newState
 			}
+
 		case request.EvUnregistered:
 			delete(s.serverState, event.Server)
 		}
 	}
+
 	// start a request if possible
 	for _, server := range requester.CanSendTo() {
 		switch s.serverState[server].state {
@@ -156,6 +159,7 @@ func (s *CheckpointInit) Process(requester request.Requester, events []request.E
 			s.serverState[server] = newState
 		}
 	}
+
 	// print log message if necessary
 	for server, state := range s.serverState {
 		if state.state != ssPrintStatus {
@@ -316,9 +320,9 @@ func (s *ForwardUpdateSync) Process(requester request.Requester, events []reques
 			if !queued {
 				s.unlockRange(sid, req)
 			}
-		case EvNewSignedHead:
+		case EvNewOptimisticUpdate:
-			signedHead := event.Data.(types.SignedHeader)
+			update := event.Data.(types.OptimisticUpdate)
-			s.nextSyncPeriod[event.Server] = types.SyncPeriod(signedHead.SignatureSlot + 256)
+			s.nextSyncPeriod[event.Server] = types.SyncPeriod(update.SignatureSlot + 256)
 		case request.EvUnregistered:
 			delete(s.nextSyncPeriod, event.Server)
 		}

beacon/light/sync/update_sync_test.go

@@ -68,9 +68,9 @@ func TestUpdateSyncParallel(t *testing.T) {
 	ts := NewTestScheduler(t, updateSync)
 	// add 2 servers, head at period 100; allow 3-3 parallel requests for each
 	ts.AddServer(testServer1, 3)
-	ts.ServerEvent(EvNewSignedHead, testServer1, types.SignedHeader{SignatureSlot: 0x2000*100 + 0x1000})
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer1, types.OptimisticUpdate{SignatureSlot: 0x2000*100 + 0x1000})
 	ts.AddServer(testServer2, 3)
-	ts.ServerEvent(EvNewSignedHead, testServer2, types.SignedHeader{SignatureSlot: 0x2000*100 + 0x1000})
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer2, types.OptimisticUpdate{SignatureSlot: 0x2000*100 + 0x1000})
 
 	// expect 6 requests to be sent
 	ts.Run(1,
@@ -150,11 +150,11 @@ func TestUpdateSyncDifferentHeads(t *testing.T) {
 	ts := NewTestScheduler(t, updateSync)
 	// add 3 servers with different announced head periods
 	ts.AddServer(testServer1, 1)
-	ts.ServerEvent(EvNewSignedHead, testServer1, types.SignedHeader{SignatureSlot: 0x2000*15 + 0x1000})
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer1, types.OptimisticUpdate{SignatureSlot: 0x2000*15 + 0x1000})
 	ts.AddServer(testServer2, 1)
-	ts.ServerEvent(EvNewSignedHead, testServer2, types.SignedHeader{SignatureSlot: 0x2000*16 + 0x1000})
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer2, types.OptimisticUpdate{SignatureSlot: 0x2000*16 + 0x1000})
 	ts.AddServer(testServer3, 1)
-	ts.ServerEvent(EvNewSignedHead, testServer3, types.SignedHeader{SignatureSlot: 0x2000*17 + 0x1000})
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer3, types.OptimisticUpdate{SignatureSlot: 0x2000*17 + 0x1000})
 
 	// expect request to the best announced head
 	ts.Run(1, testServer3, ReqUpdates{FirstPeriod: 10, Count: 7})
@@ -190,7 +190,7 @@ func TestUpdateSyncDifferentHeads(t *testing.T) {
 
 	// a new server is registered with announced head period 17
 	ts.AddServer(testServer4, 1)
-	ts.ServerEvent(EvNewSignedHead, testServer4, types.SignedHeader{SignatureSlot: 0x2000*17 + 0x1000})
+	ts.ServerEvent(EvNewOptimisticUpdate, testServer4, types.OptimisticUpdate{SignatureSlot: 0x2000*17 + 0x1000})
 	// expect request to sync one more period
 	ts.Run(7, testServer4, ReqUpdates{FirstPeriod: 16, Count: 1})
 

beacon/types/exec_payload.go

@@ -66,9 +66,8 @@ func convertPayload[T payloadType](payload T, parentRoot *zrntcommon.Root) (*typ
 	block := types.NewBlockWithHeader(&header)
 	block = block.WithBody(transactions, nil)
 	block = block.WithWithdrawals(withdrawals)
-	hash := block.Hash()
+	if hash := block.Hash(); hash != expectedHash {
-	if hash != expectedHash {
+		return nil, fmt.Errorf("Sanity check failed, payload hash does not match (expected %x, got %x)", expectedHash, hash)
-		return block, fmt.Errorf("Sanity check failed, payload hash does not match (expected %x, got %x)", expectedHash, hash)
 	}
 	return block, nil
 }

beacon/types/light_sync.go

@@ -23,7 +23,7 @@ import (
 	"github.com/ethereum/go-ethereum/beacon/merkle"
 	"github.com/ethereum/go-ethereum/beacon/params"
 	"github.com/ethereum/go-ethereum/common"
-	"github.com/ethereum/go-ethereum/core/types"
+	ctypes "github.com/ethereum/go-ethereum/core/types"
 )
 
 // HeadInfo represents an unvalidated new head announcement.
@@ -142,17 +142,57 @@ func (u UpdateScore) BetterThan(w UpdateScore) bool {
 	return u.SignerCount > w.SignerCount
 }
 
+// HeaderWithExecProof contains a beacon header and proves the belonging execution
+// payload header with a Merkle proof.
 type HeaderWithExecProof struct {
 	Header
 	PayloadHeader *ExecutionHeader
 	PayloadBranch merkle.Values
 }
 
+// Validate verifies the Merkle proof of the execution payload header.
 func (h *HeaderWithExecProof) Validate() error {
-	payloadRoot := h.PayloadHeader.PayloadRoot()
+	return merkle.VerifyProof(h.BodyRoot, params.BodyIndexExecPayload, h.PayloadBranch, h.PayloadHeader.PayloadRoot())
-	return merkle.VerifyProof(h.BodyRoot, params.BodyIndexExecPayload, h.PayloadBranch, payloadRoot)
 }
 
+// OptimisticUpdate proves sync committee commitment on the attested beacon header.
+// It also proves the belonging execution payload header with a Merkle proof.
+//
+// See data structure definition here:
+// https://github.com/ethereum/consensus-specs/blob/dev/specs/altair/light-client/sync-protocol.md#lightclientoptimisticupdate
+type OptimisticUpdate struct {
+	Attested HeaderWithExecProof
+	// Sync committee BLS signature aggregate
+	Signature SyncAggregate
+	// Slot in which the signature has been created (newer than Header.Slot,
+	// determines the signing sync committee)
+	SignatureSlot uint64
+}
+
+// SignedHeader returns the signed attested header of the update.
+func (u *OptimisticUpdate) SignedHeader() SignedHeader {
+	return SignedHeader{
+		Header:        u.Attested.Header,
+		Signature:     u.Signature,
+		SignatureSlot: u.SignatureSlot,
+	}
+}
+
+// Validate verifies the Merkle proof proving the execution payload header.
+// Note that the sync committee signature of the attested header should be
+// verified separately by a synced committee chain.
+func (u *OptimisticUpdate) Validate() error {
+	return u.Attested.Validate()
+}
+
+// FinalityUpdate proves a finalized beacon header by a sync committee commitment
+// on an attested beacon header, referring to the latest finalized header with a
+// Merkle proof.
+// It also proves the execution payload header belonging to both the attested and
+// the finalized beacon header with Merkle proofs.
+//
+// See data structure definition here:
+// https://github.com/ethereum/consensus-specs/blob/dev/specs/altair/light-client/sync-protocol.md#lightclientfinalityupdate
 type FinalityUpdate struct {
 	Attested, Finalized HeaderWithExecProof
 	FinalityBranch      merkle.Values
@@ -163,6 +203,7 @@ type FinalityUpdate struct {
 	SignatureSlot uint64
 }
 
+// SignedHeader returns the signed attested header of the update.
 func (u *FinalityUpdate) SignedHeader() SignedHeader {
 	return SignedHeader{
 		Header:        u.Attested.Header,
@@ -171,6 +212,10 @@ func (u *FinalityUpdate) SignedHeader() SignedHeader {
 	}
 }
 
+// Validate verifies the Merkle proofs proving the finalized beacon header and
+// the execution payload headers belonging to the attested and finalized headers.
+// Note that the sync committee signature of the attested header should be
+// verified separately by a synced committee chain.
 func (u *FinalityUpdate) Validate() error {
 	if err := u.Attested.Validate(); err != nil {
 		return err
@@ -186,6 +231,6 @@ func (u *FinalityUpdate) Validate() error {
 // finalized execution block.
 type ChainHeadEvent struct {
 	BeaconHead Header
-	Block      *types.Block
+	Block      *ctypes.Block
 	Finalized  common.Hash
 }