// Copyright (c) 2013-2016 The btcsuite developers // Use of this source code is governed by an ISC // license that can be found in the LICENSE file. package blockchain import ( "bytes" "fmt" "math" "github.com/btcsuite/btcd/chaincfg/chainhash" "github.com/btcsuite/btcd/txscript" "github.com/btcsuite/btcutil" ) const ( // CoinbaseWitnessDataLen is the required length of the only element within // the coinbase's witness data if the coinbase transaction contains a // witness commitment. CoinbaseWitnessDataLen = 32 // CoinbaseWitnessPkScriptLength is the length of the public key script // containing an OP_RETURN, the WitnessMagicBytes, and the witness // commitment itself. In order to be a valid candidate for the output // containing the witness commitment CoinbaseWitnessPkScriptLength = 38 ) var ( // WitnessMagicBytes is the prefix marker within the public key script // of a coinbase output to indicate that this output holds the witness // commitment for a block. WitnessMagicBytes = []byte{ txscript.OP_RETURN, txscript.OP_DATA_36, 0xaa, 0x21, 0xa9, 0xed, } ) // nextPowerOfTwo returns the next highest power of two from a given number if // it is not already a power of two. This is a helper function used during the // calculation of a merkle tree. func nextPowerOfTwo(n int) int { // Return the number if it's already a power of 2. if n&(n-1) == 0 { return n } // Figure out and return the next power of two. exponent := uint(math.Log2(float64(n))) + 1 return 1 << exponent // 2^exponent } // HashMerkleBranches takes two hashes, treated as the left and right tree // nodes, and returns the hash of their concatenation. This is a helper // function used to aid in the generation of a merkle tree. func HashMerkleBranches(left *chainhash.Hash, right *chainhash.Hash) *chainhash.Hash { // Concatenate the left and right nodes. var hash [chainhash.HashSize * 2]byte copy(hash[:chainhash.HashSize], left[:]) copy(hash[chainhash.HashSize:], right[:]) newHash := chainhash.DoubleHashH(hash[:]) return &newHash } // BuildMerkleTreeStore creates a merkle tree from a slice of transactions, // stores it using a linear array, and returns a slice of the backing array. A // linear array was chosen as opposed to an actual tree structure since it uses // about half as much memory. The following describes a merkle tree and how it // is stored in a linear array. // // A merkle tree is a tree in which every non-leaf node is the hash of its // children nodes. A diagram depicting how this works for bitcoin transactions // where h(x) is a double sha256 follows: // // root = h1234 = h(h12 + h34) // / \ // h12 = h(h1 + h2) h34 = h(h3 + h4) // / \ / \ // h1 = h(tx1) h2 = h(tx2) h3 = h(tx3) h4 = h(tx4) // // The above stored as a linear array is as follows: // // [h1 h2 h3 h4 h12 h34 root] // // As the above shows, the merkle root is always the last element in the array. // // The number of inputs is not always a power of two which results in a // balanced tree structure as above. In that case, parent nodes with no // children are also zero and parent nodes with only a single left node // are calculated by concatenating the left node with itself before hashing. // Since this function uses nodes that are pointers to the hashes, empty nodes // will be nil. // // The additional bool parameter indicates if we are generating the merkle tree // using witness transaction id's rather than regular transaction id's. This // also presents an additional case wherein the wtxid of the coinbase transaction // is the zeroHash. func BuildMerkleTreeStore(transactions []*btcutil.Tx, witness bool) []*chainhash.Hash { // Calculate how many entries are required to hold the binary merkle // tree as a linear array and create an array of that size. nextPoT := nextPowerOfTwo(len(transactions)) arraySize := nextPoT*2 - 1 merkles := make([]*chainhash.Hash, arraySize) // Create the base transaction hashes and populate the array with them. for i, tx := range transactions { // If we're computing a witness merkle root, instead of the // regular txid, we use the modified wtxid which includes a // transaction's witness data within the digest. Additionally, // the coinbase's wtxid is all zeroes. switch { case witness && i == 0: var zeroHash chainhash.Hash merkles[i] = &zeroHash case witness: wSha := tx.MsgTx().WitnessHash() merkles[i] = &wSha default: merkles[i] = tx.Hash() } } // Start the array offset after the last transaction and adjusted to the // next power of two. offset := nextPoT for i := 0; i < arraySize-1; i += 2 { switch { // When there is no left child node, the parent is nil too. case merkles[i] == nil: merkles[offset] = nil // When there is no right child, the parent is generated by // hashing the concatenation of the left child with itself. case merkles[i+1] == nil: newHash := HashMerkleBranches(merkles[i], merkles[i]) merkles[offset] = newHash // The normal case sets the parent node to the double sha256 // of the concatentation of the left and right children. default: newHash := HashMerkleBranches(merkles[i], merkles[i+1]) merkles[offset] = newHash } offset++ } return merkles } // ExtractWitnessCommitment attempts to locate, and return the witness // commitment for a block. The witness commitment is of the form: // SHA256(witness root || witness nonce). The function additionally returns a // boolean indicating if the witness root was located within any of the txOut's // in the passed transaction. The witness commitment is stored as the data push // for an OP_RETURN with special magic bytes to aide in location. func ExtractWitnessCommitment(tx *btcutil.Tx) ([]byte, bool) { // The witness commitment *must* be located within one of the coinbase // transaction's outputs. if !IsCoinBase(tx) { return nil, false } msgTx := tx.MsgTx() for i := len(msgTx.TxOut) - 1; i >= 0; i-- { // The public key script that contains the witness commitment // must shared a prefix with the WitnessMagicBytes, and be at // least 38 bytes. pkScript := msgTx.TxOut[i].PkScript if len(pkScript) >= CoinbaseWitnessPkScriptLength && bytes.HasPrefix(pkScript, WitnessMagicBytes) { // The witness commitment itself is a 32-byte hash // directly after the WitnessMagicBytes. The remaining // bytes beyond the 38th byte currently have no consensus // meaning. start := len(WitnessMagicBytes) end := CoinbaseWitnessPkScriptLength return msgTx.TxOut[i].PkScript[start:end], true } } return nil, false } // ValidateWitnessCommitment validates the witness commitment (if any) found // within the coinbase transaction of the passed block. func ValidateWitnessCommitment(blk *btcutil.Block) error { // If the block doesn't have any transactions at all, then we won't be // able to extract a commitment from the non-existent coinbase // transaction. So we exit early here. if len(blk.Transactions()) == 0 { str := "cannot validate witness commitment of block without " + "transactions" return ruleError(ErrNoTransactions, str) } coinbaseTx := blk.Transactions()[0] if len(coinbaseTx.MsgTx().TxIn) == 0 { return ruleError(ErrNoTxInputs, "transaction has no inputs") } witnessCommitment, witnessFound := ExtractWitnessCommitment(coinbaseTx) // If we can't find a witness commitment in any of the coinbase's // outputs, then the block MUST NOT contain any transactions with // witness data. if !witnessFound { for _, tx := range blk.Transactions() { msgTx := tx.MsgTx() if msgTx.HasWitness() { str := fmt.Sprintf("block contains transaction with witness" + " data, yet no witness commitment present") return ruleError(ErrUnexpectedWitness, str) } } return nil } // At this point the block contains a witness commitment, so the // coinbase transaction MUST have exactly one witness element within // its witness data and that element must be exactly // CoinbaseWitnessDataLen bytes. coinbaseWitness := coinbaseTx.MsgTx().TxIn[0].Witness if len(coinbaseWitness) != 1 { str := fmt.Sprintf("the coinbase transaction has %d items in "+ "its witness stack when only one is allowed", len(coinbaseWitness)) return ruleError(ErrInvalidWitnessCommitment, str) } witnessNonce := coinbaseWitness[0] if len(witnessNonce) != CoinbaseWitnessDataLen { str := fmt.Sprintf("the coinbase transaction witness nonce "+ "has %d bytes when it must be %d bytes", len(witnessNonce), CoinbaseWitnessDataLen) return ruleError(ErrInvalidWitnessCommitment, str) } // Finally, with the preliminary checks out of the way, we can check if // the extracted witnessCommitment is equal to: // SHA256(witnessMerkleRoot || witnessNonce). Where witnessNonce is the // coinbase transaction's only witness item. witnessMerkleTree := BuildMerkleTreeStore(blk.Transactions(), true) witnessMerkleRoot := witnessMerkleTree[len(witnessMerkleTree)-1] var witnessPreimage [chainhash.HashSize * 2]byte copy(witnessPreimage[:], witnessMerkleRoot[:]) copy(witnessPreimage[chainhash.HashSize:], witnessNonce) computedCommitment := chainhash.DoubleHashB(witnessPreimage[:]) if !bytes.Equal(computedCommitment, witnessCommitment) { str := fmt.Sprintf("witness commitment does not match: "+ "computed %v, coinbase includes %v", computedCommitment, witnessCommitment) return ruleError(ErrWitnessCommitmentMismatch, str) } return nil }