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Code cleanup and add comments.
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0c573c76e2
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@ -12,12 +12,8 @@ fun <T: Number> log2(x: T): Double{
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return Math.log(x.toDouble())/Math.log(2.0)
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}
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/*
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Include branch:
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* false - hash stored, no hashes below stored
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* true - not stored, some hashes below stored
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At leaves level, hashes of not included transaction's blocks are stored.
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Tree traversal: preorder.
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/**
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* TODO description
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*/
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class PartialMerkleTree(
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val branchHashes: List<SecureHash>,
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@ -26,9 +22,13 @@ class PartialMerkleTree(
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val leavesSize: Int
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){
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companion object{
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protected var hashIdx = 0
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protected var includeIdx = 0
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private var hashIdx = 0
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private var includeIdx = 0
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/**
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* Builds new Partial Merkle Tree out of [allLeavesHashes]. [includeLeaves] is a list of Booleans that tells
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* which leaves from [allLeavesHashes] to include in a partial tree.
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*/
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fun build(includeLeaves: List<Boolean>, allLeavesHashes: List<SecureHash>)
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: PartialMerkleTree {
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val branchHashes: MutableList<SecureHash> = ArrayList()
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@ -38,9 +38,16 @@ class PartialMerkleTree(
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return PartialMerkleTree(branchHashes, includeBranch, treeHeight, allLeavesHashes.size)
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}
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//height - height of the node in the tree (leaves are 0)
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//position - position of the node at a given height level (starting from 0)
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fun whichNodesInBranch(
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/**
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* Recursively build a tree, traversal order - preorder.
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* [height] - height of the node in a tree (leaves are at 0 level).
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* [position] - position of the node at a given height level (starting from 0).
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* [includeBranch] - gives a path of traversal in a tree: false indicates that traversal stopped at given node
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* and it's hash is stored.
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* For true, algorithm continued to the subtree starting at that node (unless it reached leaves' level).
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* Hashes of leaves included in that partial tree are stored - that set is checked later durign verification stage.
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*/
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private fun whichNodesInBranch(
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height: Int,
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position: Int,
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includeLeaves: List<Boolean>,
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@ -53,7 +60,7 @@ class PartialMerkleTree(
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if (height == 0 || !isParent) {
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//Hash should be stored, don't traverse the subtree starting with that node.
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//Or height == 0 and recursion reached leaf level of the tree, hash is stored.
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resultHashes.add(treeHash(position, height, allLeavesHashes)) //resultHashes[height].add(treeHash)
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resultHashes.add(treeHash(position, height, allLeavesHashes))
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} else {
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whichNodesInBranch(height - 1, position * 2, includeLeaves, allLeavesHashes, includeBranch, resultHashes)
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//If the tree is not full, we don't add the rightmost hash.
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@ -63,19 +70,21 @@ class PartialMerkleTree(
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}
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}
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/* Calculation of the node's hash using stack.
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Pushes to the stack elements with an information about on what height they are in the tree.
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/**
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* Calculation of the node's hash using stack.
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* Elements are pushed with an information about at what height they are in the tree.
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*/
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fun treeHash(position: Int, height: Int, allLeavesHashes: List<SecureHash>): SecureHash {
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private fun treeHash(position: Int, height: Int, allLeavesHashes: List<SecureHash>): SecureHash {
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var (startIdx, endIdx) = getNodeLeafRange(height, position, allLeavesHashes.size)
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val stack = Stack<Pair<Int, SecureHash>>()
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if (height <= 0) { //Just return leaf's hash. todo if height < 0
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if (height == 0) { //Just return leaf's hash.
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return allLeavesHashes[position]
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}
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//otherwise calculate
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//Otherwise calculate hash from lower elements.
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while (true) {
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val size = stack.size
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//Two last elements on the stack are of the same height
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//Two last elements on the stack are of the same height.
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//The way we build the stack hashes assures that they are siblings in a tree.
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if (size >= 2 && stack[size - 1].first == stack[size - 2].first) {
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//Calculate hash of them and and push new node to the stack.
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val el1 = stack.pop()
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@ -85,9 +94,9 @@ class PartialMerkleTree(
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if (h + 1 == height) return combinedHash //We reached desired node.
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else
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stack.push(Pair(h + 1, combinedHash))
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} else if (startIdx > endIdx) { //Odd numbers of elements at that level
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stack.push(stack.last()) //Need to duplicate the last element. todo check
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} else { //Add a leaf hash to the stack
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} else if (startIdx > endIdx) { //Odd numbers of elements at that level.
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stack.push(stack.last()) //Need to duplicate the last element.
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} else { //Add a leaf hash to the stack.
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stack.push(Pair(0, allLeavesHashes[startIdx]))
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startIdx++
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}
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@ -95,17 +104,15 @@ class PartialMerkleTree(
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}
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//Calculates which leaves belong to the subtree starting from that node.
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//todo - out of tree width
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//OK
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protected fun getNodeLeafRange(height: Int, position: Int, leavesCount: Int): Pair<Int, Int> {
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private fun getNodeLeafRange(height: Int, position: Int, leavesCount: Int): Pair<Int, Int> {
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val offset = Math.pow(2.0, height.toDouble()).toInt()
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val start = position * offset
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val end = Math.min(start + offset - 1, leavesCount-1) //Not full binary trees
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val end = Math.min(start + offset - 1, leavesCount-1) //Not full binary tree.
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return Pair(start, end)
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}
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//Checks if a node at given height and position is a parent of some of the leaves that are included in the transaction.
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protected fun checkIsParent(includeLeaves: List<Boolean>, height: Int, position: Int, leavesCount: Int): Boolean {
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private fun checkIsParent(includeLeaves: List<Boolean>, height: Int, position: Int, leavesCount: Int): Boolean {
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val (start, end) = getNodeLeafRange(height, position, leavesCount)
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for (el in IntRange(start, end)) {
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if (includeLeaves[el]) return true
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@ -113,25 +120,32 @@ class PartialMerkleTree(
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return false
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}
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//OK
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protected fun treeWidth(height: Int, leavesSize: Int): Double{ //return tree width at given height
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//Return tree width at given height.
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private fun treeWidth(height: Int, leavesSize: Int): Double{
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return Math.ceil(leavesSize/Math.pow(2.0, height.toDouble()))
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}
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}
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/**
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* Verification that leavesHashes belong to this tree. It is leaves' ordering insensitive.
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* Checks if provided merkleRoot matches the one calculated from this Partial Merkle Tree.
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*/
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fun verify(leavesHashes: List<SecureHash>, merkleRoot: SecureHash): Boolean{
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includeIdx = 0 //todo check that
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if(leavesSize==0) throw MerkleTreeException("PMT with zero leaves.")
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includeIdx = 0
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hashIdx = 0
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val hashesUsed = ArrayList<SecureHash>()
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val verifyRoot = verifyTree(treeHeight, 0, hashesUsed)
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//It means that we obtained more/less hashes than needed. Or different sets of hashes.
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if(includeIdx < includeBranch.size-1 || hashIdx < branchHashes.size -1)
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throw MerkleTreeException("Not all entries form PMT branch used.")
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//It means that we obtained more/less hashes than needed or different sets of hashes.
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//Ordering insensitive.
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if(leavesHashes.size != hashesUsed.size || leavesHashes.minus(hashesUsed).isNotEmpty())
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return false
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return (verifyRoot == merkleRoot) //Correctness of hashes is checked by folding the tree.
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return (verifyRoot == merkleRoot) //Correctness of hashes is checked by folding the partial tree.
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}
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//Traverses the tree in the same order as it was build consuming includeBranch and branchHashes.
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private fun verifyTree(height: Int, position: Int, hashesUsed: MutableList<SecureHash>): SecureHash {
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if(includeIdx >= includeBranch.size)
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throw MerkleTreeException("Included nodes list index overflow.")
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@ -143,12 +157,12 @@ class PartialMerkleTree(
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val hash = branchHashes[hashIdx]
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hashIdx++
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if(height == 0 && isParent)
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hashesUsed.add(hash) //todo or hash into a tree
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hashesUsed.add(hash)
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return hash
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} else {
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val left: SecureHash = verifyTree(height - 1, position * 2, hashesUsed)
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val right: SecureHash = when{
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position * 2 + 1 < treeWidth(height, leavesSize)-1 -> verifyTree(height - 1, position * 2 + 1, hashesUsed)
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position * 2 + 1 < treeWidth(height-1, leavesSize) -> verifyTree(height - 1, position * 2 + 1, hashesUsed)
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else -> left
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}
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return left.hashConcat(right)
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@ -1,18 +1,19 @@
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package com.r3corda.core.transactions
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import com.r3corda.core.contracts.Command
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import com.r3corda.core.crypto.MerkleTreeException
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import com.r3corda.core.crypto.PartialMerkleTree
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import com.r3corda.core.crypto.SecureHash
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import com.r3corda.core.crypto.sha256
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import com.r3corda.core.serialization.serialize
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import java.util.*
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/* Creation and verification of a Merkle Tree for a Wire Transaction
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* Tree should be the same no matter the ordering of outputs, inputs, attachments and commands. */
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/* Transaction is split into following blocks:
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inputs, outputs, commands, attachments' refs
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If a row in a tree has odd number of elements - the final hash is hashed with itself.
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/**
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* Creation and verification of a Merkle Tree for a Wire Transaction.
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*
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* Tree should be the same no matter the ordering of outputs, inputs, attachments and commands.
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* Transaction is split into following blocks: inputs, outputs, commands, attachments' refs.
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* If a row in a tree has an odd number of elements - the final hash is hashed with itself.
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*/
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fun SecureHash.hashConcat(other: SecureHash) = (this.bits + other.bits).sha256()
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@ -50,8 +51,10 @@ class MerkleTransaction(
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return blocks
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}
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/* Start building a Merkle tree from the transaction.
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Calls helper tailrecursive function with an accumulator and initial hashedBlocks */
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/**
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* Start building a Merkle tree from the transaction.
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* Calls helper tailrecursive function with an accumulator and initial hashedBlocks.
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*/
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fun buildMerkleTree(wtx: WireTransaction): MutableList<SecureHash>{
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val blocks = getTransactionBlocks(wtx)
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val hashedBlocks: MutableList<SecureHash> = ArrayList()
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@ -73,7 +76,7 @@ class MerkleTransaction(
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var i = 0
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while(i < lastHashList.size){
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val left = lastHashList[i]
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//If there is an odd number of elements, the last element is hashed with itself
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//If there is an odd number of elements, the last element is hashed with itself.
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val right = lastHashList[Math.min(i+1, lastHashList.size - 1)]
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val combined = left.hashConcat(right)
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resultHashes.add(combined)
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