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/**
 * Copyright 2012 The Bitcoin Developers
 * Copyright 2012 Matt Corallo
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *    http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package com.google.bitcoin.core;

import java.io.IOException;
import java.io.OutputStream;
import java.util.ArrayList;
import java.util.LinkedHashSet;
import java.util.List;
import java.util.Set;

/**
 * 

A data structure that contains proofs of block inclusion for one or more transactions, in an efficient manner.

* *

The encoding works as follows: we traverse the tree in depth-first order, storing a bit for each traversed node, * signifying whether the node is the parent of at least one matched leaf txid (or a matched txid itself). In case we * are at the leaf level, or this bit is 0, its merkle node hash is stored, and its children are not explored further. * Otherwise, no hash is stored, but we recurse into both (or the only) child branch. During decoding, the same * depth-first traversal is performed, consuming bits and hashes as they were written during encoding.

* *

The serialization is fixed and provides a hard guarantee about the encoded size, * SIZE <= 10 + ceil(32.25*N) where N represents the number of leaf nodes of the partial tree. N itself * is bounded by:

* *

* N <= total_transactions
* N <= 1 + matched_transactions*tree_height *

* *

The serialization format:
 *  - uint32     total_transactions (4 bytes)
 *  - varint     number of hashes   (1-3 bytes)
 *  - uint256[]  hashes in depth-first order (<= 32*N bytes)
 *  - varint     number of bytes of flag bits (1-3 bytes)
 *  - byte[]     flag bits, packed per 8 in a byte, least significant bit first (<= 2*N-1 bits)
 * The size constraints follow from this.

*/ public class PartialMerkleTree extends Message { // the total number of transactions in the block int transactionCount; // node-is-parent-of-matched-txid bits byte[] matchedChildBits; // txids and internal hashes List hashes; public PartialMerkleTree(NetworkParameters params, byte[] payloadBytes, int offset) throws ProtocolException { super(params, payloadBytes, offset); } public void bitcoinSerializeToStream(OutputStream stream) throws IOException { Utils.uint32ToByteStreamLE(transactionCount, stream); stream.write(new VarInt(hashes.size()).encode()); for (Sha256Hash hash : hashes) stream.write(Utils.reverseBytes(hash.getBytes())); stream.write(new VarInt(matchedChildBits.length).encode()); stream.write(matchedChildBits); } @Override void parse() throws ProtocolException { transactionCount = (int)readUint32(); int nHashes = (int) readVarInt(); hashes = new ArrayList(nHashes); for (int i = 0; i < nHashes; i++) hashes.add(readHash()); int nFlagBytes = (int) readVarInt(); matchedChildBits = readBytes(nFlagBytes); length = cursor - offset; } @Override protected void parseLite() { } // helper function to efficiently calculate the number of nodes at given height in the merkle tree private int getTreeWidth(int height) { return (transactionCount+(1 << height)-1) >> height; } private static class ValuesUsed { public int bitsUsed = 0, hashesUsed = 0; } // recursive function that traverses tree nodes, consuming the bits and hashes produced by TraverseAndBuild. // it returns the hash of the respective node. private Sha256Hash recursiveExtractHashes(int height, int pos, ValuesUsed used, List matchedHashes) throws VerificationException { if (used.bitsUsed >= matchedChildBits.length*8) { // overflowed the bits array - failure throw new VerificationException("CPartialMerkleTree overflowed its bits array"); } boolean parentOfMatch = Utils.checkBitLE(matchedChildBits, used.bitsUsed++); if (height == 0 || !parentOfMatch) { // if at height 0, or nothing interesting below, use stored hash and do not descend if (used.hashesUsed >= hashes.size()) { // overflowed the hash array - failure throw new VerificationException("CPartialMerkleTree overflowed its hash array"); } if (height == 0 && parentOfMatch) // in case of height 0, we have a matched txid matchedHashes.add(hashes.get(used.hashesUsed)); return hashes.get(used.hashesUsed++); } else { // otherwise, descend into the subtrees to extract matched txids and hashes byte[] left = recursiveExtractHashes(height-1, pos*2, used, matchedHashes).getBytes(), right; if (pos*2+1 < getTreeWidth(height-1)) right = recursiveExtractHashes(height-1, pos*2+1, used, matchedHashes).getBytes(); else right = left; // and combine them before returning return new Sha256Hash(Utils.reverseBytes(Utils.doubleDigestTwoBuffers( Utils.reverseBytes(left), 0, 32, Utils.reverseBytes(right), 0, 32))); } } /** * Extracts tx hashes that are in this merkle tree * and returns the merkle root of this tree. * * The returned root should be checked against the * merkle root contained in the block header for security. * * @param matchedHashes A list which will contain the matched txn (will be cleared) * Required to be a LinkedHashSet in order to retain order or transactions in the block * @return the merkle root of this merkle tree * @throws ProtocolException if this partial merkle tree is invalid */ public Sha256Hash getTxnHashAndMerkleRoot(List matchedHashes) throws VerificationException { matchedHashes.clear(); // An empty set will not work if (transactionCount == 0) throw new VerificationException("Got a CPartialMerkleTree with 0 transactions"); // check for excessively high numbers of transactions if (transactionCount > Block.MAX_BLOCK_SIZE / 60) // 60 is the lower bound for the size of a serialized CTransaction throw new VerificationException("Got a CPartialMerkleTree with more transactions than is possible"); // there can never be more hashes provided than one for every txid if (hashes.size() > transactionCount) throw new VerificationException("Got a CPartialMerkleTree with more hashes than transactions"); // there must be at least one bit per node in the partial tree, and at least one node per hash if (matchedChildBits.length*8 < hashes.size()) throw new VerificationException("Got a CPartialMerkleTree with fewer matched bits than hashes"); // calculate height of tree int height = 0; while (getTreeWidth(height) > 1) height++; // traverse the partial tree ValuesUsed used = new ValuesUsed(); Sha256Hash merkleRoot = recursiveExtractHashes(height, 0, used, matchedHashes); // verify that all bits were consumed (except for the padding caused by serializing it as a byte sequence) if ((used.bitsUsed+7)/8 != matchedChildBits.length || // verify that all hashes were consumed used.hashesUsed != hashes.size()) throw new VerificationException("Got a CPartialMerkleTree that didn't need all the data it provided"); return merkleRoot; } }




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