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author | Péter Szilágyi <peterke@gmail.com> | 2015-06-12 01:22:40 +0800 |
---|---|---|
committer | Péter Szilágyi <peterke@gmail.com> | 2015-06-15 14:22:37 +0800 |
commit | 0fc71877a7d7a46f35147f753cba0de7b937c77a (patch) | |
tree | be2c8c0aed8ec23a90f330ce97d2de091694f385 /eth | |
parent | 80833f813715cb151bbf165f462e38930fc4fccd (diff) | |
download | dexon-0fc71877a7d7a46f35147f753cba0de7b937c77a.tar.gz dexon-0fc71877a7d7a46f35147f753cba0de7b937c77a.tar.zst dexon-0fc71877a7d7a46f35147f753cba0de7b937c77a.zip |
eth/downloader: add valid peer during attacks (check interference)
Diffstat (limited to 'eth')
-rw-r--r-- | eth/downloader/downloader_test.go | 233 |
1 files changed, 140 insertions, 93 deletions
diff --git a/eth/downloader/downloader_test.go b/eth/downloader/downloader_test.go index c328e7d9a..5b85f01fb 100644 --- a/eth/downloader/downloader_test.go +++ b/eth/downloader/downloader_test.go @@ -14,23 +14,29 @@ import ( ) var ( - knownHash = common.Hash{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0} - unknownHash = common.Hash{9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9} - bannedHash = common.Hash{5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5} + knownHash = common.Hash{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1} + unknownHash = common.Hash{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2} + bannedHash = common.Hash{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3} genesis = createBlock(1, common.Hash{}, knownHash) ) -func createHashes(start, amount int) (hashes []common.Hash) { +// idCounter is used by the createHashes method the generate deterministic but unique hashes +var idCounter = int64(2) // #1 is the genesis block + +// createHashes generates a batch of hashes rooted at a specific point in the chain. +func createHashes(amount int, root common.Hash) (hashes []common.Hash) { hashes = make([]common.Hash, amount+1) - hashes[len(hashes)-1] = knownHash + hashes[len(hashes)-1] = root - for i := range hashes[:len(hashes)-1] { - binary.BigEndian.PutUint64(hashes[i][:8], uint64(start+i+2)) + for i := 0; i < len(hashes)-1; i++ { + binary.BigEndian.PutUint64(hashes[i][:8], uint64(idCounter)) + idCounter++ } return } +// createBlock assembles a new block at the given chain height. func createBlock(i int, parent, hash common.Hash) *types.Block { header := &types.Header{Number: big.NewInt(int64(i))} block := types.NewBlockWithHeader(header) @@ -39,6 +45,11 @@ func createBlock(i int, parent, hash common.Hash) *types.Block { return block } +// copyBlock makes a deep copy of a block suitable for local modifications. +func copyBlock(block *types.Block) *types.Block { + return createBlock(int(block.Number().Int64()), block.ParentHeaderHash, block.HeaderHash) +} + func createBlocksFromHashes(hashes []common.Hash) map[common.Hash]*types.Block { blocks := make(map[common.Hash]*types.Block) for i := 0; i < len(hashes); i++ { @@ -76,10 +87,15 @@ func newTester() *downloadTester { return tester } +// sync starts synchronizing with a remote peer, blocking until it completes. +func (dl *downloadTester) sync(id string) error { + return dl.downloader.synchronise(id, dl.peerHashes[id][0]) +} + // syncTake is starts synchronising with a remote peer, but concurrently it also // starts fetching blocks that the downloader retrieved. IT blocks until both go // routines terminate. -func (dl *downloadTester) syncTake(peerId string, head common.Hash) ([]*Block, error) { +func (dl *downloadTester) syncTake(id string) ([]*Block, error) { // Start a block collector to take blocks as they become available done := make(chan struct{}) took := []*Block{} @@ -102,7 +118,7 @@ func (dl *downloadTester) syncTake(peerId string, head common.Hash) ([]*Block, e done <- struct{}{} }() // Start the downloading, sync the taker and return - err := dl.downloader.synchronise(peerId, head) + err := dl.sync(id) done <- struct{}{} <-done @@ -124,9 +140,14 @@ func (dl *downloadTester) getBlock(hash common.Hash) *types.Block { func (dl *downloadTester) newPeer(id string, hashes []common.Hash, blocks map[common.Hash]*types.Block) error { err := dl.downloader.RegisterPeer(id, hashes[0], dl.peerGetHashesFn(id), dl.peerGetBlocksFn(id)) if err == nil { - // Assign the owned hashes and blocks to the peer - dl.peerHashes[id] = hashes - dl.peerBlocks[id] = blocks + // Assign the owned hashes and blocks to the peer (deep copy) + dl.peerHashes[id] = make([]common.Hash, len(hashes)) + copy(dl.peerHashes[id], hashes) + + dl.peerBlocks[id] = make(map[common.Hash]*types.Block) + for hash, block := range blocks { + dl.peerBlocks[id][hash] = copyBlock(block) + } } return err } @@ -192,14 +213,14 @@ func (dl *downloadTester) peerGetBlocksFn(id string) func([]common.Hash) error { func TestSynchronisation(t *testing.T) { // Create a small enough block chain to download and the tester targetBlocks := blockCacheLimit - 15 - hashes := createHashes(0, targetBlocks) + hashes := createHashes(targetBlocks, knownHash) blocks := createBlocksFromHashes(hashes) tester := newTester() tester.newPeer("peer", hashes, blocks) // Synchronise with the peer and make sure all blocks were retrieved - if err := tester.downloader.synchronise("peer", hashes[0]); err != nil { + if err := tester.sync("peer"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } if queued := len(tester.downloader.queue.blockPool); queued != targetBlocks { @@ -211,14 +232,14 @@ func TestSynchronisation(t *testing.T) { func TestBlockTaking(t *testing.T) { // Create a small enough block chain to download and the tester targetBlocks := blockCacheLimit - 15 - hashes := createHashes(0, targetBlocks) + hashes := createHashes(targetBlocks, knownHash) blocks := createBlocksFromHashes(hashes) tester := newTester() tester.newPeer("peer", hashes, blocks) // Synchronise with the peer and test block retrieval - if err := tester.downloader.synchronise("peer", hashes[0]); err != nil { + if err := tester.sync("peer"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } if took := tester.downloader.TakeBlocks(); len(took) != targetBlocks { @@ -243,14 +264,14 @@ func TestInactiveDownloader(t *testing.T) { func TestCancel(t *testing.T) { // Create a small enough block chain to download and the tester targetBlocks := blockCacheLimit - 15 - hashes := createHashes(0, targetBlocks) + hashes := createHashes(targetBlocks, knownHash) blocks := createBlocksFromHashes(hashes) tester := newTester() tester.newPeer("peer", hashes, blocks) // Synchronise with the peer, but cancel afterwards - if err := tester.downloader.synchronise("peer", hashes[0]); err != nil { + if err := tester.sync("peer"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } if !tester.downloader.Cancel() { @@ -271,7 +292,7 @@ func TestCancel(t *testing.T) { func TestThrottling(t *testing.T) { // Create a long block chain to download and the tester targetBlocks := 8 * blockCacheLimit - hashes := createHashes(0, targetBlocks) + hashes := createHashes(targetBlocks, knownHash) blocks := createBlocksFromHashes(hashes) tester := newTester() @@ -280,7 +301,7 @@ func TestThrottling(t *testing.T) { // Start a synchronisation concurrently errc := make(chan error) go func() { - errc <- tester.downloader.synchronise("peer", hashes[0]) + errc <- tester.sync("peer") }() // Iteratively take some blocks, always checking the retrieval count for total := 0; total < targetBlocks; { @@ -309,17 +330,20 @@ func TestThrottling(t *testing.T) { // Tests that if a peer returns an invalid chain with a block pointing to a non- // existing parent, it is correctly detected and handled. func TestNonExistingParentAttack(t *testing.T) { + tester := newTester() + // Forge a single-link chain with a forged header - hashes := createHashes(0, 1) + hashes := createHashes(1, knownHash) blocks := createBlocksFromHashes(hashes) + tester.newPeer("valid", hashes, blocks) - forged := blocks[hashes[0]] - forged.ParentHeaderHash = unknownHash + hashes = createHashes(1, knownHash) + blocks = createBlocksFromHashes(hashes) + blocks[hashes[0]].ParentHeaderHash = unknownHash + tester.newPeer("attack", hashes, blocks) // Try and sync with the malicious node and check that it fails - tester := newTester() - tester.newPeer("attack", hashes, blocks) - if err := tester.downloader.synchronise("attack", hashes[0]); err != nil { + if err := tester.sync("attack"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } bs := tester.downloader.TakeBlocks() @@ -331,10 +355,8 @@ func TestNonExistingParentAttack(t *testing.T) { } tester.downloader.Cancel() - // Reconstruct a valid chain, and try to synchronize with it - forged.ParentHeaderHash = knownHash - tester.newPeer("valid", hashes, blocks) - if err := tester.downloader.synchronise("valid", hashes[0]); err != nil { + // Try to synchronize with the valid chain and make sure it succeeds + if err := tester.sync("valid"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } bs = tester.downloader.TakeBlocks() @@ -348,21 +370,20 @@ func TestNonExistingParentAttack(t *testing.T) { // Tests that if a malicious peers keeps sending us repeating hashes, we don't // loop indefinitely. -func TestRepeatingHashAttack(t *testing.T) { +func TestRepeatingHashAttack(t *testing.T) { // TODO: Is this thing valid?? + tester := newTester() + // Create a valid chain, but drop the last link - hashes := createHashes(0, blockCacheLimit) + hashes := createHashes(blockCacheLimit, knownHash) blocks := createBlocksFromHashes(hashes) - forged := hashes[:len(hashes)-1] + tester.newPeer("valid", hashes, blocks) + tester.newPeer("attack", hashes[:len(hashes)-1], blocks) // Try and sync with the malicious node - tester := newTester() - tester.newPeer("attack", forged, blocks) - errc := make(chan error) go func() { - errc <- tester.downloader.synchronise("attack", hashes[0]) + errc <- tester.sync("attack") }() - // Make sure that syncing returns and does so with a failure select { case <-time.After(time.Second): @@ -373,8 +394,7 @@ func TestRepeatingHashAttack(t *testing.T) { } } // Ensure that a valid chain can still pass sync - tester.newPeer("valid", hashes, blocks) - if err := tester.downloader.synchronise("valid", hashes[0]); err != nil { + if err := tester.sync("valid"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } } @@ -382,23 +402,22 @@ func TestRepeatingHashAttack(t *testing.T) { // Tests that if a malicious peers returns a non-existent block hash, it should // eventually time out and the sync reattempted. func TestNonExistingBlockAttack(t *testing.T) { + tester := newTester() + // Create a valid chain, but forge the last link - hashes := createHashes(0, blockCacheLimit) + hashes := createHashes(blockCacheLimit, knownHash) blocks := createBlocksFromHashes(hashes) - origin := hashes[len(hashes)/2] + tester.newPeer("valid", hashes, blocks) hashes[len(hashes)/2] = unknownHash + tester.newPeer("attack", hashes, blocks) // Try and sync with the malicious node and check that it fails - tester := newTester() - tester.newPeer("attack", hashes, blocks) - if err := tester.downloader.synchronise("attack", hashes[0]); err != errPeersUnavailable { + if err := tester.sync("attack"); err != errPeersUnavailable { t.Fatalf("synchronisation error mismatch: have %v, want %v", err, errPeersUnavailable) } // Ensure that a valid chain can still pass sync - hashes[len(hashes)/2] = origin - tester.newPeer("valid", hashes, blocks) - if err := tester.downloader.synchronise("valid", hashes[0]); err != nil { + if err := tester.sync("valid"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } } @@ -406,29 +425,28 @@ func TestNonExistingBlockAttack(t *testing.T) { // Tests that if a malicious peer is returning hashes in a weird order, that the // sync throttler doesn't choke on them waiting for the valid blocks. func TestInvalidHashOrderAttack(t *testing.T) { + tester := newTester() + // Create a valid long chain, but reverse some hashes within - hashes := createHashes(0, 4*blockCacheLimit) + hashes := createHashes(4*blockCacheLimit, knownHash) blocks := createBlocksFromHashes(hashes) + tester.newPeer("valid", hashes, blocks) chunk1 := make([]common.Hash, blockCacheLimit) chunk2 := make([]common.Hash, blockCacheLimit) copy(chunk1, hashes[blockCacheLimit:2*blockCacheLimit]) copy(chunk2, hashes[2*blockCacheLimit:3*blockCacheLimit]) - reverse := make([]common.Hash, len(hashes)) - copy(reverse, hashes) - copy(reverse[2*blockCacheLimit:], chunk1) - copy(reverse[blockCacheLimit:], chunk2) + copy(hashes[2*blockCacheLimit:], chunk1) + copy(hashes[blockCacheLimit:], chunk2) + tester.newPeer("attack", hashes, blocks) // Try and sync with the malicious node and check that it fails - tester := newTester() - tester.newPeer("attack", reverse, blocks) - if _, err := tester.syncTake("attack", reverse[0]); err != errInvalidChain { + if _, err := tester.syncTake("attack"); err != errInvalidChain { t.Fatalf("synchronisation error mismatch: have %v, want %v", err, errInvalidChain) } // Ensure that a valid chain can still pass sync - tester.newPeer("valid", hashes, blocks) - if _, err := tester.syncTake("valid", hashes[0]); err != nil { + if _, err := tester.syncTake("valid"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } } @@ -436,18 +454,25 @@ func TestInvalidHashOrderAttack(t *testing.T) { // Tests that if a malicious peer makes up a random hash chain and tries to push // indefinitely, it actually gets caught with it. func TestMadeupHashChainAttack(t *testing.T) { + tester := newTester() blockSoftTTL = 100 * time.Millisecond crossCheckCycle = 25 * time.Millisecond // Create a long chain of hashes without backing blocks - hashes := createHashes(0, 1024*blockCacheLimit) + hashes := createHashes(4*blockCacheLimit, knownHash) + blocks := createBlocksFromHashes(hashes) + + tester.newPeer("valid", hashes, blocks) + tester.newPeer("attack", createHashes(1024*blockCacheLimit, knownHash), nil) // Try and sync with the malicious node and check that it fails - tester := newTester() - tester.newPeer("attack", hashes, nil) - if _, err := tester.syncTake("attack", hashes[0]); err != errCrossCheckFailed { + if _, err := tester.syncTake("attack"); err != errCrossCheckFailed { t.Fatalf("synchronisation error mismatch: have %v, want %v", err, errCrossCheckFailed) } + // Ensure that a valid chain can still pass sync + if _, err := tester.syncTake("valid"); err != nil { + t.Fatalf("failed to synchronise blocks: %v", err) + } } // Tests that if a malicious peer makes up a random hash chain, and tries to push @@ -456,13 +481,13 @@ func TestMadeupHashChainAttack(t *testing.T) { // one by one prevents reliable block/parent verification. func TestMadeupHashChainDrippingAttack(t *testing.T) { // Create a random chain of hashes to drip - hashes := createHashes(0, 16*blockCacheLimit) + hashes := createHashes(16*blockCacheLimit, knownHash) tester := newTester() // Try and sync with the attacker, one hash at a time tester.maxHashFetch = 1 tester.newPeer("attack", hashes, nil) - if _, err := tester.syncTake("attack", hashes[0]); err != errStallingPeer { + if _, err := tester.syncTake("attack"); err != errStallingPeer { t.Fatalf("synchronisation error mismatch: have %v, want %v", err, errStallingPeer) } } @@ -477,7 +502,7 @@ func TestMadeupBlockChainAttack(t *testing.T) { crossCheckCycle = 25 * time.Millisecond // Create a long chain of blocks and simulate an invalid chain by dropping every second - hashes := createHashes(0, 16*blockCacheLimit) + hashes := createHashes(16*blockCacheLimit, knownHash) blocks := createBlocksFromHashes(hashes) gapped := make([]common.Hash, len(hashes)/2) @@ -487,7 +512,7 @@ func TestMadeupBlockChainAttack(t *testing.T) { // Try and sync with the malicious node and check that it fails tester := newTester() tester.newPeer("attack", gapped, blocks) - if _, err := tester.syncTake("attack", gapped[0]); err != errCrossCheckFailed { + if _, err := tester.syncTake("attack"); err != errCrossCheckFailed { t.Fatalf("synchronisation error mismatch: have %v, want %v", err, errCrossCheckFailed) } // Ensure that a valid chain can still pass sync @@ -495,7 +520,7 @@ func TestMadeupBlockChainAttack(t *testing.T) { crossCheckCycle = defaultCrossCheckCycle tester.newPeer("valid", hashes, blocks) - if _, err := tester.syncTake("valid", hashes[0]); err != nil { + if _, err := tester.syncTake("valid"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } } @@ -504,6 +529,8 @@ func TestMadeupBlockChainAttack(t *testing.T) { // attacker make up a valid hashes for random blocks, but also forges the block // parents to point to existing hashes. func TestMadeupParentBlockChainAttack(t *testing.T) { + tester := newTester() + defaultBlockTTL := blockSoftTTL defaultCrossCheckCycle := crossCheckCycle @@ -511,24 +538,24 @@ func TestMadeupParentBlockChainAttack(t *testing.T) { crossCheckCycle = 25 * time.Millisecond // Create a long chain of blocks and simulate an invalid chain by dropping every second - hashes := createHashes(0, 16*blockCacheLimit) + hashes := createHashes(16*blockCacheLimit, knownHash) blocks := createBlocksFromHashes(hashes) - forges := createBlocksFromHashes(hashes) - for hash, block := range forges { - block.ParentHeaderHash = hash // Simulate pointing to already known hash + tester.newPeer("valid", hashes, blocks) + + for _, block := range blocks { + block.ParentHeaderHash = knownHash // Simulate pointing to already known hash } + tester.newPeer("attack", hashes, blocks) + // Try and sync with the malicious node and check that it fails - tester := newTester() - tester.newPeer("attack", hashes, forges) - if _, err := tester.syncTake("attack", hashes[0]); err != errCrossCheckFailed { + if _, err := tester.syncTake("attack"); err != errCrossCheckFailed { t.Fatalf("synchronisation error mismatch: have %v, want %v", err, errCrossCheckFailed) } // Ensure that a valid chain can still pass sync blockSoftTTL = defaultBlockTTL crossCheckCycle = defaultCrossCheckCycle - tester.newPeer("valid", hashes, blocks) - if _, err := tester.syncTake("valid", hashes[0]); err != nil { + if _, err := tester.syncTake("valid"); err != nil { t.Fatalf("failed to synchronise blocks: %v", err) } } @@ -537,22 +564,25 @@ func TestMadeupParentBlockChainAttack(t *testing.T) { // the downloader, it will not keep refetching the same chain indefinitely, but // gradually block pieces of it, until it's head is also blocked. func TestBannedChainStarvationAttack(t *testing.T) { - // Construct a valid chain, but ban one of the hashes in it - hashes := createHashes(0, 8*blockCacheLimit) - hashes[len(hashes)/2+23] = bannedHash // weird index to have non multiple of ban chunk size - - blocks := createBlocksFromHashes(hashes) - // Create the tester and ban the selected hash tester := newTester() tester.downloader.banned.Add(bannedHash) + // Construct a valid chain, for it and ban the fork + hashes := createHashes(8*blockCacheLimit, knownHash) + blocks := createBlocksFromHashes(hashes) + tester.newPeer("valid", hashes, blocks) + + fork := len(hashes)/2 - 23 + hashes = append(createHashes(4*blockCacheLimit, bannedHash), hashes[fork:]...) + blocks = createBlocksFromHashes(hashes) + tester.newPeer("attack", hashes, blocks) + // Iteratively try to sync, and verify that the banned hash list grows until // the head of the invalid chain is blocked too. - tester.newPeer("attack", hashes, blocks) for banned := tester.downloader.banned.Size(); ; { // Try to sync with the attacker, check hash chain failure - if _, err := tester.syncTake("attack", hashes[0]); err != errInvalidChain { + if _, err := tester.syncTake("attack"); err != errInvalidChain { if tester.downloader.banned.Has(hashes[0]) && err == errBannedHead { break } @@ -569,35 +599,45 @@ func TestBannedChainStarvationAttack(t *testing.T) { if err := tester.newPeer("new attacker", hashes, blocks); err != errBannedHead { t.Fatalf("peer registration mismatch: have %v, want %v", err, errBannedHead) } - if peer := tester.downloader.peers.Peer("net attacker"); peer != nil { + if peer := tester.downloader.peers.Peer("new attacker"); peer != nil { t.Fatalf("banned attacker registered: %v", peer) } + // Ensure that a valid chain can still pass sync + if _, err := tester.syncTake("valid"); err != nil { + t.Fatalf("failed to synchronise blocks: %v", err) + } } // Tests that if a peer sends excessively many/large invalid chains that are // gradually banned, it will have an upper limit on the consumed memory and also // the origin bad hashes will not be evacuated. func TestBannedChainMemoryExhaustionAttack(t *testing.T) { + // Create the tester and ban the selected hash + tester := newTester() + tester.downloader.banned.Add(bannedHash) + // Reduce the test size a bit + defaultMaxBlockFetch := MaxBlockFetch + defaultMaxBannedHashes := maxBannedHashes + MaxBlockFetch = 4 maxBannedHashes = 256 // Construct a banned chain with more chunks than the ban limit - hashes := createHashes(0, maxBannedHashes*MaxBlockFetch) - hashes[len(hashes)-1] = bannedHash // weird index to have non multiple of ban chunk size - + hashes := createHashes(8*blockCacheLimit, knownHash) blocks := createBlocksFromHashes(hashes) + tester.newPeer("valid", hashes, blocks) - // Create the tester and ban the selected hash - tester := newTester() - tester.downloader.banned.Add(bannedHash) + fork := len(hashes)/2 - 23 + hashes = append(createHashes(maxBannedHashes*MaxBlockFetch, bannedHash), hashes[fork:]...) + blocks = createBlocksFromHashes(hashes) + tester.newPeer("attack", hashes, blocks) // Iteratively try to sync, and verify that the banned hash list grows until // the head of the invalid chain is blocked too. - tester.newPeer("attack", hashes, blocks) for { // Try to sync with the attacker, check hash chain failure - if _, err := tester.syncTake("attack", hashes[0]); err != errInvalidChain { + if _, err := tester.syncTake("attack"); err != errInvalidChain { t.Fatalf("synchronisation error mismatch: have %v, want %v", err, errInvalidChain) } // Short circuit if the entire chain was banned @@ -614,6 +654,13 @@ func TestBannedChainMemoryExhaustionAttack(t *testing.T) { } } } + // Ensure that a valid chain can still pass sync + MaxBlockFetch = defaultMaxBlockFetch + maxBannedHashes = defaultMaxBannedHashes + + if _, err := tester.syncTake("valid"); err != nil { + t.Fatalf("failed to synchronise blocks: %v", err) + } } // Tests that misbehaving peers are disconnected, whilst behaving ones are not. |