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-rw-r--r--src/primitives/block.cpp10
-rw-r--r--src/primitives/block.h17
-rw-r--r--src/primitives/transaction.cpp47
-rw-r--r--src/primitives/transaction.h263
4 files changed, 161 insertions, 176 deletions
diff --git a/src/primitives/block.cpp b/src/primitives/block.cpp
index df900388f2..9a979094cc 100644
--- a/src/primitives/block.cpp
+++ b/src/primitives/block.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2015 The Bitcoin Core developers
+// Copyright (c) 2009-2016 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -27,16 +27,16 @@ std::string CBlock::ToString() const
vtx.size());
for (unsigned int i = 0; i < vtx.size(); i++)
{
- s << " " << vtx[i].ToString() << "\n";
+ s << " " << vtx[i]->ToString() << "\n";
}
return s.str();
}
-int64_t GetBlockCost(const CBlock& block)
+int64_t GetBlockWeight(const CBlock& block)
{
- // This implements the cost = (stripped_size * 4) + witness_size formula,
+ // This implements the weight = (stripped_size * 4) + witness_size formula,
// using only serialization with and without witness data. As witness_size
// is equal to total_size - stripped_size, this formula is identical to:
- // cost = (stripped_size * 3) + total_size.
+ // weight = (stripped_size * 3) + total_size.
return ::GetSerializeSize(block, SER_NETWORK, PROTOCOL_VERSION | SERIALIZE_TRANSACTION_NO_WITNESS) * (WITNESS_SCALE_FACTOR - 1) + ::GetSerializeSize(block, SER_NETWORK, PROTOCOL_VERSION);
}
diff --git a/src/primitives/block.h b/src/primitives/block.h
index e2a309e63d..4c6eb20ad5 100644
--- a/src/primitives/block.h
+++ b/src/primitives/block.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2015 The Bitcoin Core developers
+// Copyright (c) 2009-2016 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -36,7 +36,7 @@ public:
ADD_SERIALIZE_METHODS;
template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+ inline void SerializationOp(Stream& s, Operation ser_action) {
READWRITE(this->nVersion);
READWRITE(hashPrevBlock);
READWRITE(hashMerkleRoot);
@@ -73,7 +73,7 @@ class CBlock : public CBlockHeader
{
public:
// network and disk
- std::vector<CTransaction> vtx;
+ std::vector<CTransactionRef> vtx;
// memory only
mutable bool fChecked;
@@ -92,7 +92,7 @@ public:
ADD_SERIALIZE_METHODS;
template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+ inline void SerializationOp(Stream& s, Operation ser_action) {
READWRITE(*(CBlockHeader*)this);
READWRITE(vtx);
}
@@ -137,8 +137,9 @@ struct CBlockLocator
ADD_SERIALIZE_METHODS;
template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
- if (!(nType & SER_GETHASH))
+ inline void SerializationOp(Stream& s, Operation ser_action) {
+ int nVersion = s.GetVersion();
+ if (!(s.GetType() & SER_GETHASH))
READWRITE(nVersion);
READWRITE(vHave);
}
@@ -154,7 +155,7 @@ struct CBlockLocator
}
};
-/** Compute the consensus-critical block cost (see BIP 141). */
-int64_t GetBlockCost(const CBlock& tx);
+/** Compute the consensus-critical block weight (see BIP 141). */
+int64_t GetBlockWeight(const CBlock& tx);
#endif // BITCOIN_PRIMITIVES_BLOCK_H
diff --git a/src/primitives/transaction.cpp b/src/primitives/transaction.cpp
index 7f10409c05..790bc71d14 100644
--- a/src/primitives/transaction.cpp
+++ b/src/primitives/transaction.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2015 The Bitcoin Core developers
+// Copyright (c) 2009-2016 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -49,27 +49,22 @@ CTxOut::CTxOut(const CAmount& nValueIn, CScript scriptPubKeyIn)
scriptPubKey = scriptPubKeyIn;
}
-uint256 CTxOut::GetHash() const
-{
- return SerializeHash(*this);
-}
-
std::string CTxOut::ToString() const
{
return strprintf("CTxOut(nValue=%d.%08d, scriptPubKey=%s)", nValue / COIN, nValue % COIN, HexStr(scriptPubKey).substr(0, 30));
}
CMutableTransaction::CMutableTransaction() : nVersion(CTransaction::CURRENT_VERSION), nLockTime(0) {}
-CMutableTransaction::CMutableTransaction(const CTransaction& tx) : nVersion(tx.nVersion), vin(tx.vin), vout(tx.vout), wit(tx.wit), nLockTime(tx.nLockTime) {}
+CMutableTransaction::CMutableTransaction(const CTransaction& tx) : nVersion(tx.nVersion), vin(tx.vin), vout(tx.vout), nLockTime(tx.nLockTime) {}
uint256 CMutableTransaction::GetHash() const
{
return SerializeHash(*this, SER_GETHASH, SERIALIZE_TRANSACTION_NO_WITNESS);
}
-void CTransaction::UpdateHash() const
+uint256 CTransaction::ComputeHash() const
{
- *const_cast<uint256*>(&hash) = SerializeHash(*this, SER_GETHASH, SERIALIZE_TRANSACTION_NO_WITNESS);
+ return SerializeHash(*this, SER_GETHASH, SERIALIZE_TRANSACTION_NO_WITNESS);
}
uint256 CTransaction::GetWitnessHash() const
@@ -77,21 +72,10 @@ uint256 CTransaction::GetWitnessHash() const
return SerializeHash(*this, SER_GETHASH, 0);
}
-CTransaction::CTransaction() : nVersion(CTransaction::CURRENT_VERSION), vin(), vout(), nLockTime(0) { }
-
-CTransaction::CTransaction(const CMutableTransaction &tx) : nVersion(tx.nVersion), vin(tx.vin), vout(tx.vout), wit(tx.wit), nLockTime(tx.nLockTime) {
- UpdateHash();
-}
-
-CTransaction& CTransaction::operator=(const CTransaction &tx) {
- *const_cast<int*>(&nVersion) = tx.nVersion;
- *const_cast<std::vector<CTxIn>*>(&vin) = tx.vin;
- *const_cast<std::vector<CTxOut>*>(&vout) = tx.vout;
- *const_cast<CTxWitness*>(&wit) = tx.wit;
- *const_cast<unsigned int*>(&nLockTime) = tx.nLockTime;
- *const_cast<uint256*>(&hash) = tx.hash;
- return *this;
-}
+/* For backward compatibility, the hash is initialized to 0. TODO: remove the need for this default constructor entirely. */
+CTransaction::CTransaction() : nVersion(CTransaction::CURRENT_VERSION), vin(), vout(), nLockTime(0), hash() {}
+CTransaction::CTransaction(const CMutableTransaction &tx) : nVersion(tx.nVersion), vin(tx.vin), vout(tx.vout), nLockTime(tx.nLockTime), hash(ComputeHash()) {}
+CTransaction::CTransaction(CMutableTransaction &&tx) : nVersion(tx.nVersion), vin(std::move(tx.vin)), vout(std::move(tx.vout)), nLockTime(tx.nLockTime), hash(ComputeHash()) {}
CAmount CTransaction::GetValueOut() const
{
@@ -100,7 +84,7 @@ CAmount CTransaction::GetValueOut() const
{
nValueOut += it->nValue;
if (!MoneyRange(it->nValue) || !MoneyRange(nValueOut))
- throw std::runtime_error("CTransaction::GetValueOut(): value out of range");
+ throw std::runtime_error(std::string(__func__) + ": value out of range");
}
return nValueOut;
}
@@ -121,7 +105,7 @@ unsigned int CTransaction::CalculateModifiedSize(unsigned int nTxSize) const
// Providing any more cleanup incentive than making additional inputs free would
// risk encouraging people to create junk outputs to redeem later.
if (nTxSize == 0)
- nTxSize = (GetTransactionCost(*this) + WITNESS_SCALE_FACTOR - 1) / WITNESS_SCALE_FACTOR;
+ nTxSize = (GetTransactionWeight(*this) + WITNESS_SCALE_FACTOR - 1) / WITNESS_SCALE_FACTOR;
for (std::vector<CTxIn>::const_iterator it(vin.begin()); it != vin.end(); ++it)
{
unsigned int offset = 41U + std::min(110U, (unsigned int)it->scriptSig.size());
@@ -131,6 +115,11 @@ unsigned int CTransaction::CalculateModifiedSize(unsigned int nTxSize) const
return nTxSize;
}
+unsigned int CTransaction::GetTotalSize() const
+{
+ return ::GetSerializeSize(*this, SER_NETWORK, PROTOCOL_VERSION);
+}
+
std::string CTransaction::ToString() const
{
std::string str;
@@ -142,14 +131,14 @@ std::string CTransaction::ToString() const
nLockTime);
for (unsigned int i = 0; i < vin.size(); i++)
str += " " + vin[i].ToString() + "\n";
- for (unsigned int i = 0; i < wit.vtxinwit.size(); i++)
- str += " " + wit.vtxinwit[i].scriptWitness.ToString() + "\n";
+ for (unsigned int i = 0; i < vin.size(); i++)
+ str += " " + vin[i].scriptWitness.ToString() + "\n";
for (unsigned int i = 0; i < vout.size(); i++)
str += " " + vout[i].ToString() + "\n";
return str;
}
-int64_t GetTransactionCost(const CTransaction& tx)
+int64_t GetTransactionWeight(const CTransaction& tx)
{
return ::GetSerializeSize(tx, SER_NETWORK, PROTOCOL_VERSION | SERIALIZE_TRANSACTION_NO_WITNESS) * (WITNESS_SCALE_FACTOR -1) + ::GetSerializeSize(tx, SER_NETWORK, PROTOCOL_VERSION);
}
diff --git a/src/primitives/transaction.h b/src/primitives/transaction.h
index 8a2d5dd22c..af2986a41b 100644
--- a/src/primitives/transaction.h
+++ b/src/primitives/transaction.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2015 The Bitcoin Core developers
+// Copyright (c) 2009-2016 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -28,7 +28,7 @@ public:
ADD_SERIALIZE_METHODS;
template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+ inline void SerializationOp(Stream& s, Operation ser_action) {
READWRITE(hash);
READWRITE(n);
}
@@ -65,6 +65,7 @@ public:
COutPoint prevout;
CScript scriptSig;
uint32_t nSequence;
+ CScriptWitness scriptWitness; //! Only serialized through CTransaction
/* Setting nSequence to this value for every input in a transaction
* disables nLockTime. */
@@ -104,7 +105,7 @@ public:
ADD_SERIALIZE_METHODS;
template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+ inline void SerializationOp(Stream& s, Operation ser_action) {
READWRITE(prevout);
READWRITE(*(CScriptBase*)(&scriptSig));
READWRITE(nSequence);
@@ -144,7 +145,7 @@ public:
ADD_SERIALIZE_METHODS;
template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+ inline void SerializationOp(Stream& s, Operation ser_action) {
READWRITE(nValue);
READWRITE(*(CScriptBase*)(&scriptPubKey));
}
@@ -160,8 +161,6 @@ public:
return (nValue == -1);
}
- uint256 GetHash() const;
-
CAmount GetDustThreshold(const CFeeRate &minRelayTxFee) const
{
// "Dust" is defined in terms of CTransaction::minRelayTxFee,
@@ -179,7 +178,7 @@ public:
if (scriptPubKey.IsUnspendable())
return 0;
- size_t nSize = GetSerializeSize(SER_DISK, 0);
+ size_t nSize = GetSerializeSize(*this, SER_DISK, 0);
int witnessversion = 0;
std::vector<unsigned char> witnessprogram;
@@ -213,62 +212,6 @@ public:
std::string ToString() const;
};
-class CTxInWitness
-{
-public:
- CScriptWitness scriptWitness;
-
- ADD_SERIALIZE_METHODS;
-
- template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion)
- {
- READWRITE(scriptWitness.stack);
- }
-
- bool IsNull() const { return scriptWitness.IsNull(); }
-
- CTxInWitness() { }
-};
-
-class CTxWitness
-{
-public:
- /** In case vtxinwit is missing, all entries are treated as if they were empty CTxInWitnesses */
- std::vector<CTxInWitness> vtxinwit;
-
- ADD_SERIALIZE_METHODS;
-
- bool IsEmpty() const { return vtxinwit.empty(); }
-
- bool IsNull() const
- {
- for (size_t n = 0; n < vtxinwit.size(); n++) {
- if (!vtxinwit[n].IsNull()) {
- return false;
- }
- }
- return true;
- }
-
- void SetNull()
- {
- vtxinwit.clear();
- }
-
- template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion)
- {
- for (size_t n = 0; n < vtxinwit.size(); n++) {
- READWRITE(vtxinwit[n]);
- }
- if (IsNull()) {
- /* It's illegal to encode a witness when all vtxinwit entries are empty. */
- throw std::ios_base::failure("Superfluous witness record");
- }
- }
-};
-
struct CMutableTransaction;
/**
@@ -288,74 +231,79 @@ struct CMutableTransaction;
* - CTxWitness wit;
* - uint32_t nLockTime
*/
-template<typename Stream, typename Operation, typename TxType>
-inline void SerializeTransaction(TxType& tx, Stream& s, Operation ser_action, int nType, int nVersion) {
- READWRITE(*const_cast<int32_t*>(&tx.nVersion));
+template<typename Stream, typename TxType>
+inline void UnserializeTransaction(TxType& tx, Stream& s) {
+ const bool fAllowWitness = !(s.GetVersion() & SERIALIZE_TRANSACTION_NO_WITNESS);
+
+ s >> tx.nVersion;
unsigned char flags = 0;
- if (ser_action.ForRead()) {
- const_cast<std::vector<CTxIn>*>(&tx.vin)->clear();
- const_cast<std::vector<CTxOut>*>(&tx.vout)->clear();
- const_cast<CTxWitness*>(&tx.wit)->SetNull();
- /* Try to read the vin. In case the dummy is there, this will be read as an empty vector. */
- READWRITE(*const_cast<std::vector<CTxIn>*>(&tx.vin));
- if (tx.vin.size() == 0 && !(nVersion & SERIALIZE_TRANSACTION_NO_WITNESS)) {
- /* We read a dummy or an empty vin. */
- READWRITE(flags);
- if (flags != 0) {
- READWRITE(*const_cast<std::vector<CTxIn>*>(&tx.vin));
- READWRITE(*const_cast<std::vector<CTxOut>*>(&tx.vout));
- }
- } else {
- /* We read a non-empty vin. Assume a normal vout follows. */
- READWRITE(*const_cast<std::vector<CTxOut>*>(&tx.vout));
- }
- if ((flags & 1) && !(nVersion & SERIALIZE_TRANSACTION_NO_WITNESS)) {
- /* The witness flag is present, and we support witnesses. */
- flags ^= 1;
- const_cast<CTxWitness*>(&tx.wit)->vtxinwit.resize(tx.vin.size());
- READWRITE(tx.wit);
- }
- if (flags) {
- /* Unknown flag in the serialization */
- throw std::ios_base::failure("Unknown transaction optional data");
+ tx.vin.clear();
+ tx.vout.clear();
+ /* Try to read the vin. In case the dummy is there, this will be read as an empty vector. */
+ s >> tx.vin;
+ if (tx.vin.size() == 0 && fAllowWitness) {
+ /* We read a dummy or an empty vin. */
+ s >> flags;
+ if (flags != 0) {
+ s >> tx.vin;
+ s >> tx.vout;
}
} else {
- // Consistency check
- assert(tx.wit.vtxinwit.size() <= tx.vin.size());
- if (!(nVersion & SERIALIZE_TRANSACTION_NO_WITNESS)) {
- /* Check whether witnesses need to be serialized. */
- if (!tx.wit.IsNull()) {
- flags |= 1;
- }
+ /* We read a non-empty vin. Assume a normal vout follows. */
+ s >> tx.vout;
+ }
+ if ((flags & 1) && fAllowWitness) {
+ /* The witness flag is present, and we support witnesses. */
+ flags ^= 1;
+ for (size_t i = 0; i < tx.vin.size(); i++) {
+ s >> tx.vin[i].scriptWitness.stack;
}
- if (flags) {
- /* Use extended format in case witnesses are to be serialized. */
- std::vector<CTxIn> vinDummy;
- READWRITE(vinDummy);
- READWRITE(flags);
+ }
+ if (flags) {
+ /* Unknown flag in the serialization */
+ throw std::ios_base::failure("Unknown transaction optional data");
+ }
+ s >> tx.nLockTime;
+}
+
+template<typename Stream, typename TxType>
+inline void SerializeTransaction(const TxType& tx, Stream& s) {
+ const bool fAllowWitness = !(s.GetVersion() & SERIALIZE_TRANSACTION_NO_WITNESS);
+
+ s << tx.nVersion;
+ unsigned char flags = 0;
+ // Consistency check
+ if (fAllowWitness) {
+ /* Check whether witnesses need to be serialized. */
+ if (tx.HasWitness()) {
+ flags |= 1;
}
- READWRITE(*const_cast<std::vector<CTxIn>*>(&tx.vin));
- READWRITE(*const_cast<std::vector<CTxOut>*>(&tx.vout));
- if (flags & 1) {
- const_cast<CTxWitness*>(&tx.wit)->vtxinwit.resize(tx.vin.size());
- READWRITE(tx.wit);
+ }
+ if (flags) {
+ /* Use extended format in case witnesses are to be serialized. */
+ std::vector<CTxIn> vinDummy;
+ s << vinDummy;
+ s << flags;
+ }
+ s << tx.vin;
+ s << tx.vout;
+ if (flags & 1) {
+ for (size_t i = 0; i < tx.vin.size(); i++) {
+ s << tx.vin[i].scriptWitness.stack;
}
}
- READWRITE(*const_cast<uint32_t*>(&tx.nLockTime));
+ s << tx.nLockTime;
}
+
/** The basic transaction that is broadcasted on the network and contained in
* blocks. A transaction can contain multiple inputs and outputs.
*/
class CTransaction
{
-private:
- /** Memory only. */
- const uint256 hash;
-
public:
// Default transaction version.
- static const int32_t CURRENT_VERSION=1;
+ static const int32_t CURRENT_VERSION=2;
// Changing the default transaction version requires a two step process: first
// adapting relay policy by bumping MAX_STANDARD_VERSION, and then later date
@@ -371,27 +319,32 @@ public:
const int32_t nVersion;
const std::vector<CTxIn> vin;
const std::vector<CTxOut> vout;
- CTxWitness wit; // Not const: can change without invalidating the txid cache
const uint32_t nLockTime;
+private:
+ /** Memory only. */
+ const uint256 hash;
+
+ uint256 ComputeHash() const;
+
+public:
/** Construct a CTransaction that qualifies as IsNull() */
CTransaction();
/** Convert a CMutableTransaction into a CTransaction. */
CTransaction(const CMutableTransaction &tx);
+ CTransaction(CMutableTransaction &&tx);
- CTransaction& operator=(const CTransaction& tx);
-
- ADD_SERIALIZE_METHODS;
-
- template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
- SerializeTransaction(*this, s, ser_action, nType, nVersion);
- if (ser_action.ForRead()) {
- UpdateHash();
- }
+ template <typename Stream>
+ inline void Serialize(Stream& s) const {
+ SerializeTransaction(*this, s);
}
+ /** This deserializing constructor is provided instead of an Unserialize method.
+ * Unserialize is not possible, since it would require overwriting const fields. */
+ template <typename Stream>
+ CTransaction(deserialize_type, Stream& s) : CTransaction(CMutableTransaction(deserialize, s)) {}
+
bool IsNull() const {
return vin.empty() && vout.empty();
}
@@ -414,6 +367,13 @@ public:
// Compute modified tx size for priority calculation (optionally given tx size)
unsigned int CalculateModifiedSize(unsigned int nTxSize=0) const;
+ /**
+ * Get the total transaction size in bytes, including witness data.
+ * "Total Size" defined in BIP141 and BIP144.
+ * @return Total transaction size in bytes
+ */
+ unsigned int GetTotalSize() const;
+
bool IsCoinBase() const
{
return (vin.size() == 1 && vin[0].prevout.IsNull());
@@ -431,7 +391,15 @@ public:
std::string ToString() const;
- void UpdateHash() const;
+ bool HasWitness() const
+ {
+ for (size_t i = 0; i < vin.size(); i++) {
+ if (!vin[i].scriptWitness.IsNull()) {
+ return true;
+ }
+ }
+ return false;
+ }
};
/** A mutable version of CTransaction. */
@@ -440,26 +408,53 @@ struct CMutableTransaction
int32_t nVersion;
std::vector<CTxIn> vin;
std::vector<CTxOut> vout;
- CTxWitness wit;
uint32_t nLockTime;
CMutableTransaction();
CMutableTransaction(const CTransaction& tx);
- ADD_SERIALIZE_METHODS;
+ template <typename Stream>
+ inline void Serialize(Stream& s) const {
+ SerializeTransaction(*this, s);
+ }
- template <typename Stream, typename Operation>
- inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
- SerializeTransaction(*this, s, ser_action, nType, nVersion);
+
+ template <typename Stream>
+ inline void Unserialize(Stream& s) {
+ UnserializeTransaction(*this, s);
+ }
+
+ template <typename Stream>
+ CMutableTransaction(deserialize_type, Stream& s) {
+ Unserialize(s);
}
/** Compute the hash of this CMutableTransaction. This is computed on the
* fly, as opposed to GetHash() in CTransaction, which uses a cached result.
*/
uint256 GetHash() const;
+
+ friend bool operator==(const CMutableTransaction& a, const CMutableTransaction& b)
+ {
+ return a.GetHash() == b.GetHash();
+ }
+
+ bool HasWitness() const
+ {
+ for (size_t i = 0; i < vin.size(); i++) {
+ if (!vin[i].scriptWitness.IsNull()) {
+ return true;
+ }
+ }
+ return false;
+ }
};
-/** Compute the cost of a transaction, as defined by BIP 141 */
-int64_t GetTransactionCost(const CTransaction &tx);
+typedef std::shared_ptr<const CTransaction> CTransactionRef;
+static inline CTransactionRef MakeTransactionRef() { return std::make_shared<const CTransaction>(); }
+template <typename Tx> static inline CTransactionRef MakeTransactionRef(Tx&& txIn) { return std::make_shared<const CTransaction>(std::forward<Tx>(txIn)); }
+
+/** Compute the weight of a transaction, as defined by BIP 141 */
+int64_t GetTransactionWeight(const CTransaction &tx);
#endif // BITCOIN_PRIMITIVES_TRANSACTION_H
generated by cgit v1.2.3 (git 2.26.2) at 2024-10-09 16:25:16 +0000