/*
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Computes a deterministic minimal height merkle tree hash.
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If the number of items is not a power of two, some leaves
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will be at different levels. Tries to keep both sides of
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the tree the same size, but the left may be one greater.
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Use this for short deterministic trees, such as the validator list.
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For larger datasets, use IAVLTree.
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*
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/ \
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/ \
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/ \
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/ \
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* *
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/ \ / \
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/ \ / \
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/ \ / \
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* * * h6
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/ \ / \ / \
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h0 h1 h2 h3 h4 h5
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*/
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package merkle
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import (
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"bytes"
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"crypto/sha256"
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"fmt"
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"github.com/tendermint/tendermint/binary"
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)
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func SimpleHashFromTwoHashes(left []byte, right []byte) []byte {
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var n int64
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var err error
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var hasher = sha256.New()
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binary.WriteByteSlice(left, hasher, &n, &err)
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binary.WriteByteSlice(right, hasher, &n, &err)
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if err != nil {
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panic(err)
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}
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return hasher.Sum(nil)
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}
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func SimpleHashFromHashes(hashes [][]byte) []byte {
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// Recursive impl.
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switch len(hashes) {
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case 0:
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return nil
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case 1:
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return hashes[0]
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default:
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left := SimpleHashFromHashes(hashes[:(len(hashes)+1)/2])
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right := SimpleHashFromHashes(hashes[(len(hashes)+1)/2:])
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return SimpleHashFromTwoHashes(left, right)
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}
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}
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// Convenience for SimpleHashFromHashes.
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func SimpleHashFromBinaries(items []interface{}) []byte {
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hashes := [][]byte{}
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for _, item := range items {
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hashes = append(hashes, SimpleHashFromBinary(item))
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}
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return SimpleHashFromHashes(hashes)
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}
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// General Convenience
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func SimpleHashFromBinary(item interface{}) []byte {
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hasher, n, err := sha256.New(), new(int64), new(error)
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binary.WriteBinary(item, hasher, n, err)
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if *err != nil {
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panic(err)
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}
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return hasher.Sum(nil)
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}
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// Convenience for SimpleHashFromHashes.
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func SimpleHashFromHashables(items []Hashable) []byte {
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hashes := [][]byte{}
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for _, item := range items {
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hash := item.Hash()
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hashes = append(hashes, hash)
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}
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return SimpleHashFromHashes(hashes)
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}
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//--------------------------------------------------------------------------------
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type SimpleProof struct {
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Index int `json:"index"`
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Total int `json:"total"`
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LeafHash []byte `json:"leaf_hash"`
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InnerHashes [][]byte `json:"inner_hashes"` // Hashes from leaf's sibling to a root's child.
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RootHash []byte `json:"root_hash"`
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}
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// proofs[0] is the proof for items[0].
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func SimpleProofsFromHashables(items []Hashable) (proofs []*SimpleProof) {
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trails, root := trailsFromHashables(items)
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proofs = make([]*SimpleProof, len(items))
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for i, trail := range trails {
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proofs[i] = &SimpleProof{
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Index: i,
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Total: len(items),
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LeafHash: trail.Hash,
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InnerHashes: trail.FlattenInnerHashes(),
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RootHash: root.Hash,
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}
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}
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return
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}
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// Verify that leafHash is a leaf hash of the simple-merkle-tree
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// which hashes to rootHash.
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func (sp *SimpleProof) Verify(leafHash []byte, rootHash []byte) bool {
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if !bytes.Equal(leafHash, sp.LeafHash) {
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return false
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}
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if !bytes.Equal(rootHash, sp.RootHash) {
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return false
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}
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computedHash := computeHashFromInnerHashes(sp.Index, sp.Total, sp.LeafHash, sp.InnerHashes)
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if computedHash == nil {
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return false
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}
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if !bytes.Equal(computedHash, rootHash) {
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return false
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}
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return true
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}
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func (sp *SimpleProof) String() string {
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return sp.StringIndented("")
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}
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func (sp *SimpleProof) StringIndented(indent string) string {
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return fmt.Sprintf(`SimpleProof{
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%s Index: %v
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%s Total: %v
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%s LeafHash: %X
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%s InnerHashes: %X
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%s RootHash: %X
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%s}`,
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indent, sp.Index,
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indent, sp.Total,
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indent, sp.LeafHash,
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indent, sp.InnerHashes,
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indent, sp.RootHash,
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indent)
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}
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// Use the leafHash and innerHashes to get the root merkle hash.
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// If the length of the innerHashes slice isn't exactly correct, the result is nil.
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func computeHashFromInnerHashes(index int, total int, leafHash []byte, innerHashes [][]byte) []byte {
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// Recursive impl.
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if index >= total {
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return nil
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}
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switch total {
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case 0:
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panic("Cannot call computeHashFromInnerHashes() with 0 total")
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case 1:
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if len(innerHashes) != 0 {
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return nil
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}
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return leafHash
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default:
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if len(innerHashes) == 0 {
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return nil
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}
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numLeft := (total + 1) / 2
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if index < numLeft {
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leftHash := computeHashFromInnerHashes(index, numLeft, leafHash, innerHashes[:len(innerHashes)-1])
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if leftHash == nil {
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return nil
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}
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return SimpleHashFromTwoHashes(leftHash, innerHashes[len(innerHashes)-1])
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} else {
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rightHash := computeHashFromInnerHashes(index-numLeft, total-numLeft, leafHash, innerHashes[:len(innerHashes)-1])
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if rightHash == nil {
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return nil
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}
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return SimpleHashFromTwoHashes(innerHashes[len(innerHashes)-1], rightHash)
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}
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}
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}
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// Helper structure to construct merkle proof.
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// The node and the tree is thrown away afterwards.
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// Exactly one of node.Left and node.Right is nil, unless node is the root, in which case both are nil.
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// node.Parent.Hash = hash(node.Hash, node.Right.Hash) or
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// hash(node.Left.Hash, node.Hash), depending on whether node is a left/right child.
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type SimpleProofNode struct {
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Hash []byte
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Parent *SimpleProofNode
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Left *SimpleProofNode // Left sibling (only one of Left,Right is set)
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Right *SimpleProofNode // Right sibling (only one of Left,Right is set)
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}
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// Starting from a leaf SimpleProofNode, FlattenInnerHashes() will return
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// the inner hashes for the item corresponding to the leaf.
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func (spn *SimpleProofNode) FlattenInnerHashes() [][]byte {
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// Nonrecursive impl.
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innerHashes := [][]byte{}
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for spn != nil {
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if spn.Left != nil {
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innerHashes = append(innerHashes, spn.Left.Hash)
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} else if spn.Right != nil {
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innerHashes = append(innerHashes, spn.Right.Hash)
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} else {
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break
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}
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spn = spn.Parent
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}
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return innerHashes
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}
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// trails[0].Hash is the leaf hash for items[0].
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// trails[i].Parent.Parent....Parent == root for all i.
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func trailsFromHashables(items []Hashable) (trails []*SimpleProofNode, root *SimpleProofNode) {
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// Recursive impl.
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switch len(items) {
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case 0:
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return nil, nil
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case 1:
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trail := &SimpleProofNode{items[0].Hash(), nil, nil, nil}
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return []*SimpleProofNode{trail}, trail
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default:
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lefts, leftRoot := trailsFromHashables(items[:(len(items)+1)/2])
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rights, rightRoot := trailsFromHashables(items[(len(items)+1)/2:])
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rootHash := SimpleHashFromTwoHashes(leftRoot.Hash, rightRoot.Hash)
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root := &SimpleProofNode{rootHash, nil, nil, nil}
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leftRoot.Parent = root
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leftRoot.Right = rightRoot
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rightRoot.Parent = root
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rightRoot.Left = leftRoot
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return append(lefts, rights...), root
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}
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}
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