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authorW. J. van der Laan <laanwj@protonmail.com>2021-04-30 08:31:41 +0200
committerW. J. van der Laan <laanwj@protonmail.com>2021-04-30 17:27:19 +0200
commit2b45cf0bcdb3d2c1de46899e30885c953b57b475 (patch)
treed6accaa1e8940738517e3c441ddad72865e4c425 /src/index/coinstatsindex.cpp
parent480bf01c295527bd212964efe4df3bb886db5654 (diff)
parent5f96d7d22d8e05876c6fc014e70488699950fe38 (diff)
Merge bitcoin/bitcoin#19521: Coinstats Index
5f96d7d22d8e05876c6fc014e70488699950fe38 rpc: gettxoutsetinfo rejects hash_serialized_2 for specific height (Fabian Jahr) 23fe50436be641d7417152adc683192649ba206a test: Add test for coinstatsindex behavior in reorgs (Fabian Jahr) 90c966b0f3cfbd6bce5883f46d8527c6853a86a2 rpc: Allow gettxoutsetinfo and getblockstats for stale blocks (Fabian Jahr) b9362392aef2689bc106c20925859ede555d082b index, rpc: Add use_index option for gettxoutsetinfo (Fabian Jahr) bb7788b121a30489bc81a1f46dde6a9b19ae4ec1 test: Test coinstatsindex robustness across restarts (Fabian Jahr) e0938c29099635150014ffc9bb0cafa8049ec55a test: Add tests for block_info in gettxoutsetinfo (Fabian Jahr) 2501576eccb08af80471c7b7b843b189ad6758c0 rpc, index: Add verbose amounts tracking to Coinstats index (Fabian Jahr) 655d929836a71af23d2035d2e2e99ad8b8c340c3 test: add coinstatsindex getindexinfo coverage, improve current tests (Jon Atack) ca01bb8d689f93e1c7669b0ba7a4994c0206dabd rpc: Add Coinstats index to getindexinfo (Fabian Jahr) 57a026c30fef3138bb8db46e6865acb9dc2674f8 test: Add unit test for Coinstats index (Fabian Jahr) 6a4c0c09ab4d073a26c3c4a02783d5dcd88f6eef test: Add functional test for Coinstats index (Fabian Jahr) 3f166ecc125fce6ccd995687fa16572090a5d099 rpc: gettxoutsetinfo can be requested for specific blockheights (Fabian Jahr) 3c914d58ff323255b32e717d0ce28209ec0abdaa index: Coinstats index can be activated with command line flag (Fabian Jahr) dd58a4de21469d6d848ae309edc47f558628221d index: Add Coinstats index (Fabian Jahr) a8a46c4b3cfda4b95c92a36f8cebd3606377e57d refactor: Simplify ApplyStats and ApplyHash (Fabian Jahr) 9c8a265fd21a87228c18a1661df99fedc1866baf refactor: Pass hash_type to CoinsStats in stats object (Fabian Jahr) 2e2648a9021dfbb6e17dfa81472f057dacbc34e0 crypto: Make MuHash Remove method efficient (Fabian Jahr) Pull request description: This is part of the coinstats index project tracked in #18000 While the review of the new UTXO set hash algorithm (MuHash) takes longer recently #19328 was merged which added the possibility to run `gettxoutsetinfo` with a specific hash type. As the first type it added `hash_type=none` which skips the hashing of the UTXO set altogether. This alone did not make `gettxoutsetinfo` much faster but it allows the use of an index for the remaining coin statistics even before a new hashing algorithm has been added. Credit to Sjors for the idea to take this intermediate step. Features summary: - Users can start their node with the option `-coinstatsindex` which syncs the index in the background - After the index is synced the user can use `gettxoutsetinfo` with `hash_type=none` or `hash_type=muhash` and will get the response instantly out of the index - The user can specify a height or block hash when calling `gettxoutsetinfo` to see coin statistics at a specific block height ACKs for top commit: Sjors: re-tACK 5f96d7d22d8e05876c6fc014e70488699950fe38 jonatack: Code review re-ACK 5f96d7d22d8e05876c6fc014e70488699950fe38 per `git range-diff 13d27b4 07201d3 5f96d7d` promag: Tested ACK 5f96d7d22d8e05876c6fc014e70488699950fe38. Light code review ACK 5f96d7d22d8e05876c6fc014e70488699950fe38. Tree-SHA512: cbca78bee8e9605c19da4fbcd184625fb280200718396c694a56c7daab6f44ad23ca9fb5456d09f245d8b8d9659fdc2b3f3ce5e953c1c6cf4003dbc74c0463c2
Diffstat (limited to 'src/index/coinstatsindex.cpp')
-rw-r--r--src/index/coinstatsindex.cpp472
1 files changed, 472 insertions, 0 deletions
diff --git a/src/index/coinstatsindex.cpp b/src/index/coinstatsindex.cpp
new file mode 100644
index 0000000000..c7c1f4b533
--- /dev/null
+++ b/src/index/coinstatsindex.cpp
@@ -0,0 +1,472 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chainparams.h>
+#include <coins.h>
+#include <crypto/muhash.h>
+#include <index/coinstatsindex.h>
+#include <node/blockstorage.h>
+#include <serialize.h>
+#include <txdb.h>
+#include <undo.h>
+#include <validation.h>
+
+static constexpr char DB_BLOCK_HASH = 's';
+static constexpr char DB_BLOCK_HEIGHT = 't';
+static constexpr char DB_MUHASH = 'M';
+
+namespace {
+
+struct DBVal {
+ uint256 muhash;
+ uint64_t transaction_output_count;
+ uint64_t bogo_size;
+ CAmount total_amount;
+ CAmount total_subsidy;
+ CAmount block_unspendable_amount;
+ CAmount block_prevout_spent_amount;
+ CAmount block_new_outputs_ex_coinbase_amount;
+ CAmount block_coinbase_amount;
+ CAmount unspendables_genesis_block;
+ CAmount unspendables_bip30;
+ CAmount unspendables_scripts;
+ CAmount unspendables_unclaimed_rewards;
+
+ SERIALIZE_METHODS(DBVal, obj)
+ {
+ READWRITE(obj.muhash);
+ READWRITE(obj.transaction_output_count);
+ READWRITE(obj.bogo_size);
+ READWRITE(obj.total_amount);
+ READWRITE(obj.total_subsidy);
+ READWRITE(obj.block_unspendable_amount);
+ READWRITE(obj.block_prevout_spent_amount);
+ READWRITE(obj.block_new_outputs_ex_coinbase_amount);
+ READWRITE(obj.block_coinbase_amount);
+ READWRITE(obj.unspendables_genesis_block);
+ READWRITE(obj.unspendables_bip30);
+ READWRITE(obj.unspendables_scripts);
+ READWRITE(obj.unspendables_unclaimed_rewards);
+ }
+};
+
+struct DBHeightKey {
+ int height;
+
+ explicit DBHeightKey(int height_in) : height(height_in) {}
+
+ template <typename Stream>
+ void Serialize(Stream& s) const
+ {
+ ser_writedata8(s, DB_BLOCK_HEIGHT);
+ ser_writedata32be(s, height);
+ }
+
+ template <typename Stream>
+ void Unserialize(Stream& s)
+ {
+ char prefix{static_cast<char>(ser_readdata8(s))};
+ if (prefix != DB_BLOCK_HEIGHT) {
+ throw std::ios_base::failure("Invalid format for coinstatsindex DB height key");
+ }
+ height = ser_readdata32be(s);
+ }
+};
+
+struct DBHashKey {
+ uint256 block_hash;
+
+ explicit DBHashKey(const uint256& hash_in) : block_hash(hash_in) {}
+
+ SERIALIZE_METHODS(DBHashKey, obj)
+ {
+ char prefix{DB_BLOCK_HASH};
+ READWRITE(prefix);
+ if (prefix != DB_BLOCK_HASH) {
+ throw std::ios_base::failure("Invalid format for coinstatsindex DB hash key");
+ }
+
+ READWRITE(obj.block_hash);
+ }
+};
+
+}; // namespace
+
+std::unique_ptr<CoinStatsIndex> g_coin_stats_index;
+
+CoinStatsIndex::CoinStatsIndex(size_t n_cache_size, bool f_memory, bool f_wipe)
+{
+ fs::path path{GetDataDir() / "indexes" / "coinstats"};
+ fs::create_directories(path);
+
+ m_db = std::make_unique<CoinStatsIndex::DB>(path / "db", n_cache_size, f_memory, f_wipe);
+}
+
+bool CoinStatsIndex::WriteBlock(const CBlock& block, const CBlockIndex* pindex)
+{
+ CBlockUndo block_undo;
+ const CAmount block_subsidy{GetBlockSubsidy(pindex->nHeight, Params().GetConsensus())};
+ m_total_subsidy += block_subsidy;
+
+ // Ignore genesis block
+ if (pindex->nHeight > 0) {
+ if (!UndoReadFromDisk(block_undo, pindex)) {
+ return false;
+ }
+
+ std::pair<uint256, DBVal> read_out;
+ if (!m_db->Read(DBHeightKey(pindex->nHeight - 1), read_out)) {
+ return false;
+ }
+
+ uint256 expected_block_hash{pindex->pprev->GetBlockHash()};
+ if (read_out.first != expected_block_hash) {
+ if (!m_db->Read(DBHashKey(expected_block_hash), read_out)) {
+ return error("%s: previous block header belongs to unexpected block %s; expected %s",
+ __func__, read_out.first.ToString(), expected_block_hash.ToString());
+ }
+ }
+
+ // TODO: Deduplicate BIP30 related code
+ bool is_bip30_block{(pindex->nHeight == 91722 && pindex->GetBlockHash() == uint256S("0x00000000000271a2dc26e7667f8419f2e15416dc6955e5a6c6cdf3f2574dd08e")) ||
+ (pindex->nHeight == 91812 && pindex->GetBlockHash() == uint256S("0x00000000000af0aed4792b1acee3d966af36cf5def14935db8de83d6f9306f2f"))};
+
+ // Add the new utxos created from the block
+ for (size_t i = 0; i < block.vtx.size(); ++i) {
+ const auto& tx{block.vtx.at(i)};
+
+ // Skip duplicate txid coinbase transactions (BIP30).
+ if (is_bip30_block && tx->IsCoinBase()) {
+ m_block_unspendable_amount += block_subsidy;
+ m_unspendables_bip30 += block_subsidy;
+ continue;
+ }
+
+ for (size_t j = 0; j < tx->vout.size(); ++j) {
+ const CTxOut& out{tx->vout[j]};
+ Coin coin{out, pindex->nHeight, tx->IsCoinBase()};
+ COutPoint outpoint{tx->GetHash(), static_cast<uint32_t>(j)};
+
+ // Skip unspendable coins
+ if (coin.out.scriptPubKey.IsUnspendable()) {
+ m_block_unspendable_amount += coin.out.nValue;
+ m_unspendables_scripts += coin.out.nValue;
+ continue;
+ }
+
+ m_muhash.Insert(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ if (tx->IsCoinBase()) {
+ m_block_coinbase_amount += coin.out.nValue;
+ } else {
+ m_block_new_outputs_ex_coinbase_amount += coin.out.nValue;
+ }
+
+ ++m_transaction_output_count;
+ m_total_amount += coin.out.nValue;
+ m_bogo_size += GetBogoSize(coin.out.scriptPubKey);
+ }
+
+ // The coinbase tx has no undo data since no former output is spent
+ if (!tx->IsCoinBase()) {
+ const auto& tx_undo{block_undo.vtxundo.at(i - 1)};
+
+ for (size_t j = 0; j < tx_undo.vprevout.size(); ++j) {
+ Coin coin{tx_undo.vprevout[j]};
+ COutPoint outpoint{tx->vin[j].prevout.hash, tx->vin[j].prevout.n};
+
+ m_muhash.Remove(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ m_block_prevout_spent_amount += coin.out.nValue;
+
+ --m_transaction_output_count;
+ m_total_amount -= coin.out.nValue;
+ m_bogo_size -= GetBogoSize(coin.out.scriptPubKey);
+ }
+ }
+ }
+ } else {
+ // genesis block
+ m_block_unspendable_amount += block_subsidy;
+ m_unspendables_genesis_block += block_subsidy;
+ }
+
+ // If spent prevouts + block subsidy are still a higher amount than
+ // new outputs + coinbase + current unspendable amount this means
+ // the miner did not claim the full block reward. Unclaimed block
+ // rewards are also unspendable.
+ const CAmount unclaimed_rewards{(m_block_prevout_spent_amount + m_total_subsidy) - (m_block_new_outputs_ex_coinbase_amount + m_block_coinbase_amount + m_block_unspendable_amount)};
+ m_block_unspendable_amount += unclaimed_rewards;
+ m_unspendables_unclaimed_rewards += unclaimed_rewards;
+
+ std::pair<uint256, DBVal> value;
+ value.first = pindex->GetBlockHash();
+ value.second.transaction_output_count = m_transaction_output_count;
+ value.second.bogo_size = m_bogo_size;
+ value.second.total_amount = m_total_amount;
+ value.second.total_subsidy = m_total_subsidy;
+ value.second.block_unspendable_amount = m_block_unspendable_amount;
+ value.second.block_prevout_spent_amount = m_block_prevout_spent_amount;
+ value.second.block_new_outputs_ex_coinbase_amount = m_block_new_outputs_ex_coinbase_amount;
+ value.second.block_coinbase_amount = m_block_coinbase_amount;
+ value.second.unspendables_genesis_block = m_unspendables_genesis_block;
+ value.second.unspendables_bip30 = m_unspendables_bip30;
+ value.second.unspendables_scripts = m_unspendables_scripts;
+ value.second.unspendables_unclaimed_rewards = m_unspendables_unclaimed_rewards;
+
+ uint256 out;
+ m_muhash.Finalize(out);
+ value.second.muhash = out;
+
+ return m_db->Write(DBHeightKey(pindex->nHeight), value) && m_db->Write(DB_MUHASH, m_muhash);
+}
+
+static bool CopyHeightIndexToHashIndex(CDBIterator& db_it, CDBBatch& batch,
+ const std::string& index_name,
+ int start_height, int stop_height)
+{
+ DBHeightKey key{start_height};
+ db_it.Seek(key);
+
+ for (int height = start_height; height <= stop_height; ++height) {
+ if (!db_it.GetKey(key) || key.height != height) {
+ return error("%s: unexpected key in %s: expected (%c, %d)",
+ __func__, index_name, DB_BLOCK_HEIGHT, height);
+ }
+
+ std::pair<uint256, DBVal> value;
+ if (!db_it.GetValue(value)) {
+ return error("%s: unable to read value in %s at key (%c, %d)",
+ __func__, index_name, DB_BLOCK_HEIGHT, height);
+ }
+
+ batch.Write(DBHashKey(value.first), std::move(value.second));
+
+ db_it.Next();
+ }
+ return true;
+}
+
+bool CoinStatsIndex::Rewind(const CBlockIndex* current_tip, const CBlockIndex* new_tip)
+{
+ assert(current_tip->GetAncestor(new_tip->nHeight) == new_tip);
+
+ CDBBatch batch(*m_db);
+ std::unique_ptr<CDBIterator> db_it(m_db->NewIterator());
+
+ // During a reorg, we need to copy all hash digests for blocks that are
+ // getting disconnected from the height index to the hash index so we can
+ // still find them when the height index entries are overwritten.
+ if (!CopyHeightIndexToHashIndex(*db_it, batch, m_name, new_tip->nHeight, current_tip->nHeight)) {
+ return false;
+ }
+
+ if (!m_db->WriteBatch(batch)) return false;
+
+ {
+ LOCK(cs_main);
+ CBlockIndex* iter_tip{g_chainman.m_blockman.LookupBlockIndex(current_tip->GetBlockHash())};
+ const auto& consensus_params{Params().GetConsensus()};
+
+ do {
+ CBlock block;
+
+ if (!ReadBlockFromDisk(block, iter_tip, consensus_params)) {
+ return error("%s: Failed to read block %s from disk",
+ __func__, iter_tip->GetBlockHash().ToString());
+ }
+
+ ReverseBlock(block, iter_tip);
+
+ iter_tip = iter_tip->GetAncestor(iter_tip->nHeight - 1);
+ } while (new_tip != iter_tip);
+ }
+
+ return BaseIndex::Rewind(current_tip, new_tip);
+}
+
+static bool LookUpOne(const CDBWrapper& db, const CBlockIndex* block_index, DBVal& result)
+{
+ // First check if the result is stored under the height index and the value
+ // there matches the block hash. This should be the case if the block is on
+ // the active chain.
+ std::pair<uint256, DBVal> read_out;
+ if (!db.Read(DBHeightKey(block_index->nHeight), read_out)) {
+ return false;
+ }
+ if (read_out.first == block_index->GetBlockHash()) {
+ result = std::move(read_out.second);
+ return true;
+ }
+
+ // If value at the height index corresponds to an different block, the
+ // result will be stored in the hash index.
+ return db.Read(DBHashKey(block_index->GetBlockHash()), result);
+}
+
+bool CoinStatsIndex::LookUpStats(const CBlockIndex* block_index, CCoinsStats& coins_stats) const
+{
+ DBVal entry;
+ if (!LookUpOne(*m_db, block_index, entry)) {
+ return false;
+ }
+
+ coins_stats.hashSerialized = entry.muhash;
+ coins_stats.nTransactionOutputs = entry.transaction_output_count;
+ coins_stats.nBogoSize = entry.bogo_size;
+ coins_stats.nTotalAmount = entry.total_amount;
+ coins_stats.total_subsidy = entry.total_subsidy;
+ coins_stats.block_unspendable_amount = entry.block_unspendable_amount;
+ coins_stats.block_prevout_spent_amount = entry.block_prevout_spent_amount;
+ coins_stats.block_new_outputs_ex_coinbase_amount = entry.block_new_outputs_ex_coinbase_amount;
+ coins_stats.block_coinbase_amount = entry.block_coinbase_amount;
+ coins_stats.unspendables_genesis_block = entry.unspendables_genesis_block;
+ coins_stats.unspendables_bip30 = entry.unspendables_bip30;
+ coins_stats.unspendables_scripts = entry.unspendables_scripts;
+ coins_stats.unspendables_unclaimed_rewards = entry.unspendables_unclaimed_rewards;
+
+ return true;
+}
+
+bool CoinStatsIndex::Init()
+{
+ if (!m_db->Read(DB_MUHASH, m_muhash)) {
+ // Check that the cause of the read failure is that the key does not
+ // exist. Any other errors indicate database corruption or a disk
+ // failure, and starting the index would cause further corruption.
+ if (m_db->Exists(DB_MUHASH)) {
+ return error("%s: Cannot read current %s state; index may be corrupted",
+ __func__, GetName());
+ }
+ }
+
+ if (BaseIndex::Init()) {
+ const CBlockIndex* pindex{CurrentIndex()};
+
+ if (pindex) {
+ DBVal entry;
+ if (!LookUpOne(*m_db, pindex, entry)) {
+ return false;
+ }
+
+ m_transaction_output_count = entry.transaction_output_count;
+ m_bogo_size = entry.bogo_size;
+ m_total_amount = entry.total_amount;
+ m_total_subsidy = entry.total_subsidy;
+ m_block_unspendable_amount = entry.block_unspendable_amount;
+ m_block_prevout_spent_amount = entry.block_prevout_spent_amount;
+ m_block_new_outputs_ex_coinbase_amount = entry.block_new_outputs_ex_coinbase_amount;
+ m_block_coinbase_amount = entry.block_coinbase_amount;
+ m_unspendables_genesis_block = entry.unspendables_genesis_block;
+ m_unspendables_bip30 = entry.unspendables_bip30;
+ m_unspendables_scripts = entry.unspendables_scripts;
+ m_unspendables_unclaimed_rewards = entry.unspendables_unclaimed_rewards;
+ }
+
+ return true;
+ }
+
+ return false;
+}
+
+// Reverse a single block as part of a reorg
+bool CoinStatsIndex::ReverseBlock(const CBlock& block, const CBlockIndex* pindex)
+{
+ CBlockUndo block_undo;
+ std::pair<uint256, DBVal> read_out;
+
+ const CAmount block_subsidy{GetBlockSubsidy(pindex->nHeight, Params().GetConsensus())};
+ m_total_subsidy -= block_subsidy;
+
+ // Ignore genesis block
+ if (pindex->nHeight > 0) {
+ if (!UndoReadFromDisk(block_undo, pindex)) {
+ return false;
+ }
+
+ if (!m_db->Read(DBHeightKey(pindex->nHeight - 1), read_out)) {
+ return false;
+ }
+
+ uint256 expected_block_hash{pindex->pprev->GetBlockHash()};
+ if (read_out.first != expected_block_hash) {
+ if (!m_db->Read(DBHashKey(expected_block_hash), read_out)) {
+ return error("%s: previous block header belongs to unexpected block %s; expected %s",
+ __func__, read_out.first.ToString(), expected_block_hash.ToString());
+ }
+ }
+ }
+
+ // Remove the new UTXOs that were created from the block
+ for (size_t i = 0; i < block.vtx.size(); ++i) {
+ const auto& tx{block.vtx.at(i)};
+
+ for (size_t j = 0; j < tx->vout.size(); ++j) {
+ const CTxOut& out{tx->vout[j]};
+ COutPoint outpoint{tx->GetHash(), static_cast<uint32_t>(j)};
+ Coin coin{out, pindex->nHeight, tx->IsCoinBase()};
+
+ // Skip unspendable coins
+ if (coin.out.scriptPubKey.IsUnspendable()) {
+ m_block_unspendable_amount -= coin.out.nValue;
+ m_unspendables_scripts -= coin.out.nValue;
+ continue;
+ }
+
+ m_muhash.Remove(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ if (tx->IsCoinBase()) {
+ m_block_coinbase_amount -= coin.out.nValue;
+ } else {
+ m_block_new_outputs_ex_coinbase_amount -= coin.out.nValue;
+ }
+
+ --m_transaction_output_count;
+ m_total_amount -= coin.out.nValue;
+ m_bogo_size -= GetBogoSize(coin.out.scriptPubKey);
+ }
+
+ // The coinbase tx has no undo data since no former output is spent
+ if (!tx->IsCoinBase()) {
+ const auto& tx_undo{block_undo.vtxundo.at(i - 1)};
+
+ for (size_t j = 0; j < tx_undo.vprevout.size(); ++j) {
+ Coin coin{tx_undo.vprevout[j]};
+ COutPoint outpoint{tx->vin[j].prevout.hash, tx->vin[j].prevout.n};
+
+ m_muhash.Insert(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ m_block_prevout_spent_amount -= coin.out.nValue;
+
+ m_transaction_output_count++;
+ m_total_amount += coin.out.nValue;
+ m_bogo_size += GetBogoSize(coin.out.scriptPubKey);
+ }
+ }
+ }
+
+ const CAmount unclaimed_rewards{(m_block_new_outputs_ex_coinbase_amount + m_block_coinbase_amount + m_block_unspendable_amount) - (m_block_prevout_spent_amount + m_total_subsidy)};
+ m_block_unspendable_amount -= unclaimed_rewards;
+ m_unspendables_unclaimed_rewards -= unclaimed_rewards;
+
+ // Check that the rolled back internal values are consistent with the DB read out
+ uint256 out;
+ m_muhash.Finalize(out);
+ Assert(read_out.second.muhash == out);
+
+ Assert(m_transaction_output_count == read_out.second.transaction_output_count);
+ Assert(m_total_amount == read_out.second.total_amount);
+ Assert(m_bogo_size == read_out.second.bogo_size);
+ Assert(m_total_subsidy == read_out.second.total_subsidy);
+ Assert(m_block_unspendable_amount == read_out.second.block_unspendable_amount);
+ Assert(m_block_prevout_spent_amount == read_out.second.block_prevout_spent_amount);
+ Assert(m_block_new_outputs_ex_coinbase_amount == read_out.second.block_new_outputs_ex_coinbase_amount);
+ Assert(m_block_coinbase_amount == read_out.second.block_coinbase_amount);
+ Assert(m_unspendables_genesis_block == read_out.second.unspendables_genesis_block);
+ Assert(m_unspendables_bip30 == read_out.second.unspendables_bip30);
+ Assert(m_unspendables_scripts == read_out.second.unspendables_scripts);
+ Assert(m_unspendables_unclaimed_rewards == read_out.second.unspendables_unclaimed_rewards);
+
+ return m_db->Write(DB_MUHASH, m_muhash);
+}