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Prepare database format for multi-stage block processing

This commit adds a status field and a transaction counter to the block
indexes.
0.8
Pieter Wuille 12 years ago
parent
commit
857c61df0b
  1. 10
      src/db.cpp
  2. 35
      src/init.cpp
  3. 114
      src/main.cpp
  4. 113
      src/main.h

10
src/db.cpp

@ -622,6 +622,9 @@ bool LoadBlockIndex(CChainDB &chaindb)
{ {
CBlockIndex* pindex = item.second; CBlockIndex* pindex = item.second;
pindex->bnChainWork = (pindex->pprev ? pindex->pprev->bnChainWork : 0) + pindex->GetBlockWork(); pindex->bnChainWork = (pindex->pprev ? pindex->pprev->bnChainWork : 0) + pindex->GetBlockWork();
pindex->nChainTx = (pindex->pprev ? pindex->pprev->nChainTx : 0) + pindex->nTx;
if ((pindex->nStatus & BLOCK_VALID_MASK) >= BLOCK_VALID_TRANSACTIONS && !(pindex->nStatus & BLOCK_FAILED_MASK))
setBlockIndexValid.insert(pindex);
} }
// Load block file info // Load block file info
@ -727,20 +730,23 @@ bool CChainDB::LoadBlockIndexGuts()
CBlockIndex* pindexNew = InsertBlockIndex(diskindex.GetBlockHash()); CBlockIndex* pindexNew = InsertBlockIndex(diskindex.GetBlockHash());
pindexNew->pprev = InsertBlockIndex(diskindex.hashPrev); pindexNew->pprev = InsertBlockIndex(diskindex.hashPrev);
pindexNew->nHeight = diskindex.nHeight; pindexNew->nHeight = diskindex.nHeight;
pindexNew->pos = diskindex.pos; pindexNew->nFile = diskindex.nFile;
pindexNew->nDataPos = diskindex.nDataPos;
pindexNew->nUndoPos = diskindex.nUndoPos; pindexNew->nUndoPos = diskindex.nUndoPos;
pindexNew->nVersion = diskindex.nVersion; pindexNew->nVersion = diskindex.nVersion;
pindexNew->hashMerkleRoot = diskindex.hashMerkleRoot; pindexNew->hashMerkleRoot = diskindex.hashMerkleRoot;
pindexNew->nTime = diskindex.nTime; pindexNew->nTime = diskindex.nTime;
pindexNew->nBits = diskindex.nBits; pindexNew->nBits = diskindex.nBits;
pindexNew->nNonce = diskindex.nNonce; pindexNew->nNonce = diskindex.nNonce;
pindexNew->nStatus = diskindex.nStatus;
pindexNew->nTx = diskindex.nTx;
// Watch for genesis block // Watch for genesis block
if (pindexGenesisBlock == NULL && diskindex.GetBlockHash() == hashGenesisBlock) if (pindexGenesisBlock == NULL && diskindex.GetBlockHash() == hashGenesisBlock)
pindexGenesisBlock = pindexNew; pindexGenesisBlock = pindexNew;
if (!pindexNew->CheckIndex()) if (!pindexNew->CheckIndex())
return error("LoadBlockIndex() : CheckIndex failed at %d", pindexNew->nHeight); return error("LoadBlockIndex() : CheckIndex failed: %s", pindexNew->ToString().c_str());
} }
else else
{ {

35
src/init.cpp

@ -781,38 +781,9 @@ bool AppInit2()
// ********************************************************* Step 9: import blocks // ********************************************************* Step 9: import blocks
// scan for better chains in the block chain database, that are not yet connected in the active best chain // scan for better chains in the block chain database, that are not yet connected in the active best chain
CBlockIndex *pindexFoundBest = pindexBest; uiInterface.InitMessage(_("Importing blocks from block database..."));
for (std::map<uint256,CBlockIndex*>::iterator it = mapBlockIndex.begin(); it != mapBlockIndex.end(); it++) { if (!ConnectBestBlock())
CBlockIndex *pindex = it->second; strErrors << "Failed to connect best block";
if (pindexFoundBest==NULL || pindex->bnChainWork > pindexFoundBest->bnChainWork)
pindexFoundBest = pindex;
}
if (pindexFoundBest != pindexBest) {
uiInterface.InitMessage(_("Importing blocks from block database..."));
uint64 nTxs = 0;
uint64 nBlocks = 0;
std::vector<CBlockIndex*> vAttach;
vAttach.reserve(pindexFoundBest->nHeight - (pindexBest==NULL ? 0 : pindexBest->nHeight));
while (pindexFoundBest && pindexFoundBest->bnChainWork > (pindexBest==NULL ? 0 : pindexBest->bnChainWork)) {
vAttach.push_back(pindexFoundBest);
pindexFoundBest = pindexFoundBest->pprev;
}
for (std::vector<CBlockIndex*>::reverse_iterator it = vAttach.rbegin(); it != vAttach.rend(); it++) {
CBlockIndex *pindex = *it;
CBlock block;
if (!block.ReadFromDisk(pindex))
break;
nTxs += block.vtx.size();
nBlocks++;
if (pindex->nHeight == 0 || nTxs + nBlocks*3 > 500) {
nTxs=0;
nBlocks=0;
block.SetBestChain(pindex);
}
if (fRequestShutdown)
break;
}
}
std::vector<boost::filesystem::path> *vPath = new std::vector<boost::filesystem::path>(); std::vector<boost::filesystem::path> *vPath = new std::vector<boost::filesystem::path>();
if (mapArgs.count("-loadblock")) if (mapArgs.count("-loadblock"))

114
src/main.cpp

@ -37,6 +37,7 @@ CBigNum bnBestChainWork = 0;
CBigNum bnBestInvalidWork = 0; CBigNum bnBestInvalidWork = 0;
uint256 hashBestChain = 0; uint256 hashBestChain = 0;
CBlockIndex* pindexBest = NULL; CBlockIndex* pindexBest = NULL;
set<CBlockIndex*, CBlockIndexWorkComparator> setBlockIndexValid; // may contain all CBlockIndex*'s that have validness >=BLOCK_VALID_TRANSACTIONS, and must contain those who aren't failed
int64 nTimeBestReceived = 0; int64 nTimeBestReceived = 0;
bool fImporting = false; bool fImporting = false;
@ -1156,6 +1157,62 @@ void static InvalidChainFound(CBlockIndex* pindexNew)
printf("InvalidChainFound: Warning: Displayed transactions may not be correct! You may need to upgrade, or other nodes may need to upgrade.\n"); printf("InvalidChainFound: Warning: Displayed transactions may not be correct! You may need to upgrade, or other nodes may need to upgrade.\n");
} }
void static InvalidBlockFound(CBlockIndex *pindex) {
pindex->nStatus |= BLOCK_FAILED_VALID;
CChainDB().WriteBlockIndex(CDiskBlockIndex(pindex));
setBlockIndexValid.erase(pindex);
InvalidChainFound(pindex);
if (pindex->pnext)
ConnectBestBlock(); // reorganise away from the failed block
}
bool ConnectBestBlock() {
do {
CBlockIndex *pindexNewBest;
{
std::set<CBlockIndex*,CBlockIndexWorkComparator>::reverse_iterator it = setBlockIndexValid.rbegin();
if (it == setBlockIndexValid.rend())
return true;
pindexNewBest = *it;
}
if (pindexNewBest == pindexBest)
return true; // nothing to do
// check ancestry
CBlockIndex *pindexTest = pindexNewBest;
std::vector<CBlockIndex*> vAttach;
do {
if (pindexTest->nStatus & BLOCK_FAILED_MASK) {
// mark descendants failed
CChainDB chaindb;
CBlockIndex *pindexFailed = pindexNewBest;
while (pindexTest != pindexFailed) {
pindexFailed->nStatus |= BLOCK_FAILED_CHILD;
setBlockIndexValid.erase(pindexFailed);
chaindb.WriteBlockIndex(CDiskBlockIndex(pindexFailed));
pindexFailed = pindexFailed->pprev;
}
InvalidChainFound(pindexNewBest);
break;
}
if (pindexBest == NULL || pindexTest->bnChainWork > pindexBest->bnChainWork)
vAttach.push_back(pindexTest);
if (pindexTest->pprev == NULL || pindexTest->pnext != NULL) {
reverse(vAttach.begin(), vAttach.end());
BOOST_FOREACH(CBlockIndex *pindexSwitch, vAttach)
if (!SetBestChain(pindexSwitch))
return false;
return true;
}
pindexTest = pindexTest->pprev;
} while(true);
} while(true);
}
void CBlock::UpdateTime(const CBlockIndex* pindexPrev) void CBlock::UpdateTime(const CBlockIndex* pindexPrev)
{ {
nTime = max(pindexPrev->GetMedianTimePast()+1, GetAdjustedTime()); nTime = max(pindexPrev->GetMedianTimePast()+1, GetAdjustedTime());
@ -1522,17 +1579,24 @@ bool CBlock::ConnectBlock(CBlockIndex* pindex, CCoinsViewCache &view, bool fJust
return true; return true;
// Write undo information to disk // Write undo information to disk
if (pindex->GetUndoPos().IsNull()) if (pindex->GetUndoPos().IsNull() || (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_SCRIPTS)
{ {
CChainDB chaindb; CChainDB chaindb;
CDiskBlockPos pos;
if (!FindUndoPos(chaindb, pindex->pos.nFile, pos, ::GetSerializeSize(blockundo, SER_DISK, CLIENT_VERSION) + 8)) if (pindex->GetUndoPos().IsNull()) {
return error("ConnectBlock() : FindUndoPos failed"); CDiskBlockPos pos;
if (!blockundo.WriteToDisk(pos)) if (!FindUndoPos(chaindb, pindex->nFile, pos, ::GetSerializeSize(blockundo, SER_DISK, CLIENT_VERSION) + 8))
return error("ConnectBlock() : CBlockUndo::WriteToDisk failed"); return error("ConnectBlock() : FindUndoPos failed");
if (!blockundo.WriteToDisk(pos))
// update nUndoPos in block index return error("ConnectBlock() : CBlockUndo::WriteToDisk failed");
pindex->nUndoPos = pos.nPos + 1;
// update nUndoPos in block index
pindex->nUndoPos = pos.nPos;
pindex->nStatus |= BLOCK_HAVE_UNDO;
}
pindex->nStatus = (pindex->nStatus & ~BLOCK_VALID_MASK) | BLOCK_VALID_SCRIPTS;
CDiskBlockIndex blockindex(pindex); CDiskBlockIndex blockindex(pindex);
if (!chaindb.WriteBlockIndex(blockindex)) if (!chaindb.WriteBlockIndex(blockindex))
return error("ConnectBlock() : WriteBlockIndex failed"); return error("ConnectBlock() : WriteBlockIndex failed");
@ -1549,7 +1613,7 @@ bool CBlock::ConnectBlock(CBlockIndex* pindex, CCoinsViewCache &view, bool fJust
return true; return true;
} }
bool CBlock::SetBestChain(CBlockIndex* pindexNew) bool SetBestChain(CBlockIndex* pindexNew)
{ {
CCoinsViewCache &view = *pcoinsTip; CCoinsViewCache &view = *pcoinsTip;
@ -1620,24 +1684,19 @@ bool CBlock::SetBestChain(CBlockIndex* pindexNew)
vector<CTransaction> vDelete; vector<CTransaction> vDelete;
BOOST_FOREACH(CBlockIndex *pindex, vConnect) { BOOST_FOREACH(CBlockIndex *pindex, vConnect) {
CBlock block; CBlock block;
CBlock *pblock; if (!block.ReadFromDisk(pindex))
if (pindex == pindexNew) // connecting *this block return error("SetBestBlock() : ReadFromDisk for connect failed");
pblock = this;
else { // other block; read it from disk
if (!block.ReadFromDisk(pindex))
return error("SetBestBlock() : ReadFromDisk for connect failed");
pblock = &block;
}
CCoinsViewCache viewTemp(view, true); CCoinsViewCache viewTemp(view, true);
if (!pblock->ConnectBlock(pindex, viewTemp)) { if (!block.ConnectBlock(pindex, viewTemp)) {
InvalidChainFound(pindexNew); InvalidChainFound(pindexNew);
InvalidBlockFound(pindex);
return error("SetBestBlock() : ConnectBlock %s failed", pindex->GetBlockHash().ToString().substr(0,20).c_str()); return error("SetBestBlock() : ConnectBlock %s failed", pindex->GetBlockHash().ToString().substr(0,20).c_str());
} }
if (!viewTemp.Flush()) if (!viewTemp.Flush())
return error("SetBestBlock() : Cache flush failed after connect"); return error("SetBestBlock() : Cache flush failed after connect");
// Queue memory transactions to delete // Queue memory transactions to delete
BOOST_FOREACH(const CTransaction& tx, pblock->vtx) BOOST_FOREACH(const CTransaction& tx, block.vtx)
vDelete.push_back(tx); vDelete.push_back(tx);
} }
@ -1683,8 +1742,8 @@ bool CBlock::SetBestChain(CBlockIndex* pindexNew)
bnBestChainWork = pindexNew->bnChainWork; bnBestChainWork = pindexNew->bnChainWork;
nTimeBestReceived = GetTime(); nTimeBestReceived = GetTime();
nTransactionsUpdated++; nTransactionsUpdated++;
printf("SetBestChain: new best=%s height=%d work=%s date=%s\n", printf("SetBestChain: new best=%s height=%d work=%s tx=%lu date=%s\n",
hashBestChain.ToString().substr(0,20).c_str(), nBestHeight, bnBestChainWork.ToString().c_str(), hashBestChain.ToString().substr(0,20).c_str(), nBestHeight, bnBestChainWork.ToString().c_str(), (unsigned long)pindexNew->nChainTx,
DateTimeStrFormat("%x %H:%M:%S", pindexBest->GetBlockTime()).c_str()); DateTimeStrFormat("%x %H:%M:%S", pindexBest->GetBlockTime()).c_str());
// Check the version of the last 100 blocks to see if we need to upgrade: // Check the version of the last 100 blocks to see if we need to upgrade:
@ -1736,9 +1795,14 @@ bool CBlock::AddToBlockIndex(const CDiskBlockPos &pos)
pindexNew->pprev = (*miPrev).second; pindexNew->pprev = (*miPrev).second;
pindexNew->nHeight = pindexNew->pprev->nHeight + 1; pindexNew->nHeight = pindexNew->pprev->nHeight + 1;
} }
pindexNew->nTx = vtx.size();
pindexNew->bnChainWork = (pindexNew->pprev ? pindexNew->pprev->bnChainWork : 0) + pindexNew->GetBlockWork(); pindexNew->bnChainWork = (pindexNew->pprev ? pindexNew->pprev->bnChainWork : 0) + pindexNew->GetBlockWork();
pindexNew->pos = pos; pindexNew->nChainTx = (pindexNew->pprev ? pindexNew->pprev->nChainTx : 0) + pindexNew->nTx;
pindexNew->nFile = pos.nFile;
pindexNew->nDataPos = pos.nPos;
pindexNew->nUndoPos = 0; pindexNew->nUndoPos = 0;
pindexNew->nStatus = BLOCK_VALID_TRANSACTIONS | BLOCK_HAVE_DATA;
setBlockIndexValid.insert(pindexNew);
CChainDB chaindb; CChainDB chaindb;
if (!chaindb.TxnBegin()) if (!chaindb.TxnBegin())
@ -1747,8 +1811,8 @@ bool CBlock::AddToBlockIndex(const CDiskBlockPos &pos)
if (!chaindb.TxnCommit()) if (!chaindb.TxnCommit())
return false; return false;
// New best // New best?
if (!SetBestChain(pindexNew)) if (!ConnectBestBlock())
return false; return false;
if (pindexNew == pindexBest) if (pindexNew == pindexBest)

113
src/main.h

@ -23,6 +23,8 @@ class CInv;
class CRequestTracker; class CRequestTracker;
class CNode; class CNode;
class CBlockIndexWorkComparator;
static const unsigned int MAX_BLOCK_SIZE = 1000000; static const unsigned int MAX_BLOCK_SIZE = 1000000;
static const unsigned int MAX_BLOCK_SIZE_GEN = MAX_BLOCK_SIZE/2; static const unsigned int MAX_BLOCK_SIZE_GEN = MAX_BLOCK_SIZE/2;
static const unsigned int MAX_BLOCK_SIGOPS = MAX_BLOCK_SIZE/50; static const unsigned int MAX_BLOCK_SIGOPS = MAX_BLOCK_SIZE/50;
@ -55,6 +57,7 @@ extern CScript COINBASE_FLAGS;
extern CCriticalSection cs_main; extern CCriticalSection cs_main;
extern std::map<uint256, CBlockIndex*> mapBlockIndex; extern std::map<uint256, CBlockIndex*> mapBlockIndex;
extern std::set<CBlockIndex*, CBlockIndexWorkComparator> setBlockIndexValid;
extern uint256 hashGenesisBlock; extern uint256 hashGenesisBlock;
extern CBlockIndex* pindexGenesisBlock; extern CBlockIndex* pindexGenesisBlock;
extern int nBestHeight; extern int nBestHeight;
@ -114,6 +117,9 @@ int GetNumBlocksOfPeers();
bool IsInitialBlockDownload(); bool IsInitialBlockDownload();
std::string GetWarnings(std::string strFor); std::string GetWarnings(std::string strFor);
bool GetTransaction(const uint256 &hash, CTransaction &tx, uint256 &hashBlock, bool fAllowSlow = false); bool GetTransaction(const uint256 &hash, CTransaction &tx, uint256 &hashBlock, bool fAllowSlow = false);
bool SetBestChain(CBlockIndex* pindexNew);
bool ConnectBestBlock();
@ -1234,9 +1240,6 @@ public:
// Read a block from disk // Read a block from disk
bool ReadFromDisk(const CBlockIndex* pindex, bool fReadTransactions=true); bool ReadFromDisk(const CBlockIndex* pindex, bool fReadTransactions=true);
// Make this block (with given index) the new tip of the active block chain
bool SetBestChain(CBlockIndex* pindexNew);
// Add this block to the block index, and if necessary, switch the active block chain to this // Add this block to the block index, and if necessary, switch the active block chain to this
bool AddToBlockIndex(const CDiskBlockPos &pos); bool AddToBlockIndex(const CDiskBlockPos &pos);
@ -1308,6 +1311,24 @@ extern CCriticalSection cs_LastBlockFile;
extern CBlockFileInfo infoLastBlockFile; extern CBlockFileInfo infoLastBlockFile;
extern int nLastBlockFile; extern int nLastBlockFile;
enum BlockStatus {
BLOCK_VALID_UNKNOWN = 0,
BLOCK_VALID_HEADER = 1, // parsed, version ok, hash satisfies claimed PoW, 1 <= vtx count <= max, timestamp not in future
BLOCK_VALID_TREE = 2, // parent found, difficulty matches, timestamp >= median previous, checkpoint
BLOCK_VALID_TRANSACTIONS = 3, // only first tx is coinbase, 2 <= coinbase input script length <= 100, transactions valid, no duplicate txids, sigops, size, merkle root
BLOCK_VALID_CHAIN = 4, // outputs do not overspend inputs, no double spends, coinbase output ok, immature coinbase spends, BIP30
BLOCK_VALID_SCRIPTS = 5, // scripts/signatures ok
BLOCK_VALID_MASK = 7,
BLOCK_HAVE_DATA = 8, // full block available in blk*.dat
BLOCK_HAVE_UNDO = 16, // undo data available in rev*.dat
BLOCK_HAVE_MASK = 24,
BLOCK_FAILED_VALID = 32, // stage after last reached validness failed
BLOCK_FAILED_CHILD = 64, // descends from failed block
BLOCK_FAILED_MASK = 96
};
/** The block chain is a tree shaped structure starting with the /** The block chain is a tree shaped structure starting with the
* genesis block at the root, with each block potentially having multiple * genesis block at the root, with each block potentially having multiple
* candidates to be the next block. pprev and pnext link a path through the * candidates to be the next block. pprev and pnext link a path through the
@ -1318,14 +1339,40 @@ extern int nLastBlockFile;
class CBlockIndex class CBlockIndex
{ {
public: public:
// pointer to the hash of the block, if any. memory is owned by this CBlockIndex
const uint256* phashBlock; const uint256* phashBlock;
// pointer to the index of the predecessor of this block
CBlockIndex* pprev; CBlockIndex* pprev;
// (memory only) pointer to the index of the *active* successor of this block
CBlockIndex* pnext; CBlockIndex* pnext;
// height of the entry in the chain. The genesis block has height 0
int nHeight; int nHeight;
CDiskBlockPos pos;
// Which # file this block is stored in (blk?????.dat)
int nFile;
// Byte offset within blk?????.dat where this block's data is stored
unsigned int nDataPos;
// Byte offset within rev?????.dat where this block's undo data is stored
unsigned int nUndoPos; unsigned int nUndoPos;
// (memory only) Total amount of work (expected number of hashes) in the chain up to and including this block
CBigNum bnChainWork; CBigNum bnChainWork;
// Number of transactions in this block.
// Note: in a potential headers-first mode, this number cannot be relied upon
unsigned int nTx;
// (memory only) Number of transactions in the chain up to and including this block
unsigned int nChainTx; // change to 64-bit type when necessary; won't happen before 2030
// Verification status of this block. See enum BlockStatus
unsigned int nStatus;
// block header // block header
int nVersion; int nVersion;
uint256 hashMerkleRoot; uint256 hashMerkleRoot;
@ -1340,9 +1387,13 @@ public:
pprev = NULL; pprev = NULL;
pnext = NULL; pnext = NULL;
nHeight = 0; nHeight = 0;
pos.SetNull(); nFile = 0;
nDataPos = 0;
nUndoPos = 0; nUndoPos = 0;
bnChainWork = 0; bnChainWork = 0;
nTx = 0;
nChainTx = 0;
nStatus = 0;
nVersion = 0; nVersion = 0;
hashMerkleRoot = 0; hashMerkleRoot = 0;
@ -1357,9 +1408,13 @@ public:
pprev = NULL; pprev = NULL;
pnext = NULL; pnext = NULL;
nHeight = 0; nHeight = 0;
pos.SetNull(); nFile = 0;
nDataPos = 0;
nUndoPos = 0; nUndoPos = 0;
bnChainWork = 0; bnChainWork = 0;
nTx = 0;
nChainTx = 0;
nStatus = 0;
nVersion = block.nVersion; nVersion = block.nVersion;
hashMerkleRoot = block.hashMerkleRoot; hashMerkleRoot = block.hashMerkleRoot;
@ -1369,15 +1424,22 @@ public:
} }
CDiskBlockPos GetBlockPos() const { CDiskBlockPos GetBlockPos() const {
return pos; CDiskBlockPos ret;
if (nStatus & BLOCK_HAVE_DATA) {
ret.nFile = nFile;
ret.nPos = nDataPos;
} else
ret.SetNull();
return ret;
} }
CDiskBlockPos GetUndoPos() const { CDiskBlockPos GetUndoPos() const {
CDiskBlockPos ret = pos; CDiskBlockPos ret;
if (nUndoPos == 0) if (nStatus & BLOCK_HAVE_UNDO) {
ret.nFile = nFile;
ret.nPos = nUndoPos;
} else
ret.SetNull(); ret.SetNull();
else
ret.nPos = nUndoPos - 1;
return ret; return ret;
} }
@ -1472,6 +1534,19 @@ public:
} }
}; };
struct CBlockIndexWorkComparator
{
bool operator()(CBlockIndex *pa, CBlockIndex *pb) {
if (pa->bnChainWork > pb->bnChainWork) return false;
if (pa->bnChainWork < pb->bnChainWork) return true;
if (pa->GetBlockHash() < pb->GetBlockHash()) return false;
if (pa->GetBlockHash() > pb->GetBlockHash()) return true;
return false; // identical blocks
}
};
/** Used to marshal pointers into hashes for db storage. */ /** Used to marshal pointers into hashes for db storage. */
@ -1491,11 +1566,17 @@ public:
IMPLEMENT_SERIALIZE IMPLEMENT_SERIALIZE
( (
if (!(nType & SER_GETHASH)) if (!(nType & SER_GETHASH))
READWRITE(nVersion); READWRITE(VARINT(nVersion));
READWRITE(nHeight); READWRITE(VARINT(nHeight));
READWRITE(pos); READWRITE(VARINT(nStatus));
READWRITE(nUndoPos); READWRITE(VARINT(nTx));
if (nStatus & (BLOCK_HAVE_DATA | BLOCK_HAVE_UNDO))
READWRITE(VARINT(nFile));
if (nStatus & BLOCK_HAVE_DATA)
READWRITE(VARINT(nDataPos));
if (nStatus & BLOCK_HAVE_UNDO)
READWRITE(VARINT(nUndoPos));
// block header // block header
READWRITE(this->nVersion); READWRITE(this->nVersion);

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